Hello, I need help completing and showing appropriate steps for this problem. Thank you so much!

Hello, I Need Help Completing And Showing Appropriate Steps For This Problem. Thank You So Much!

Answers

Answer 1

The first step is to factorise the quadratic expression on the right side of the equation. The expression is

x^2 + 9x + 20

We would find two terms such that their sum or difference is 9x and their product is 20x^2. The terms are 5x and 4x. Replacing 9x with 5x and 4x, it becomes

x^2 + 5x + 4x + 20

By factorising, it becomes

x(x + 5) + 4(x + 5)

Since x + 5 is common, it becomes

(x + 4)(x + 5)

Thus, the original expression becomes

x/(x + 4) + 3/(x + 5) = (x + 2)/(x + 4)(x + 5)

The lowest common multiple of the denominators on both sides of the equations is (x + 4)(x + 5). We would multiply each term in the equation by

(x + 4)(x + 5). It becomes

(x + 4)(x + 5)x/(x + 4) + 3(x + 4)(x + 5)/(x + 5) = (x + 2)(x + 4)(x + 5)/(x + 4)(x + 5)

By cancelling out common terms in the numerator and denominator, we have

x(x + 5) + 3(x + 4) = x + 2

We would expand the parentheses on both sides by multiplying the terms inside with the term outside. It becomes

x^2 + 5x + 3x + 12 = x + 2

By collecting like terms, we have

x^2 + 5x + 3x - x + 12 - 2 = 0

x^2 + 7x + 12 = 0

Again, We would find two terms such that their sum or difference is 7x and their product is 12x^2. The terms are 4x and 3x. Replacing 7x with 4x and 3x, it becomes

x^2 + 4x + 3x + 12 = 0

By factorising, it becomes

x(x + 4) + 3(x + 4) = 0

Since x + 4 is common, it becomes

(x + 3)(x + 4) = 0

x + 3 = 0 or x + 4 = 0

x = - 3 or x = - 4

The solutions are x = - 3 or x = - 4


Related Questions

If Lydia invests $3000 in a certificate of deposit and d dollars in a stock, write an expression for the total amount she invested.

Answers

ANSWER:

[tex]\text{ total amount }=3000+d[/tex]

STEP-BY-STEP EXPLANATION:

The total invested is equal to 3000 investment and the previous money in stock, therefore, the expression would be:

[tex]\text{ total amount }=3000+d[/tex]

Clara likes the buffet option of chicken, swordfish, roasted potatoes, and brussels sprouts
for $23 per person. She does not think everyone will eat the swordfish, so she decides to
only do a half portion of swordfish per guest, which means half the price. If the original
price of the swordfish was $7 per guest, what will the new overall price of the buffet be
per person?

Answers

The unitary method is used to find the unit value of the quantity. The price for the buffet after taking half portion of swordfish will be $19.5.

What is Unitary method?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The price for complete buffet is $23 per person.

The price for swordfish per guest is $7.

Then, the price for half portion swordfish is $7 / 2 = $3.5.

Now, the price of buffet without swordfish is  $23 - $7 = $16.

Thus, after taking only half portion of swordfish the new price becomes,

$16 + $3.5 = $19.5

Hence, the new price of the buffet for each person will be $19.5.

To know more about unitary method click on,

https://brainly.com/question/28276953

#SPJ1

3 parts!!! Suppose that on January 1 you have a balance of $4500 on a credit card whose APR is 12%, which you want to pay off in 1 year. Assume that you make no additional charges to the card after January 1.a. Calculate your monthly payments.b. When the card is paid off, how much will you have paid since January 1?c. What percentage of your total payment from part(b) is interest?Part A: The monthly payment is ?(Do not round until the final answer. Then round to the nearest cont as needed.)

Answers

Given,

P=$4500

r=12%

For 1 month the rate is 12/12%=1%

So interest for one month is

[tex]I=\frac{4500\times1\times1}{100}=45[/tex]

a. The monthly payment is:

[tex]\begin{gathered} A=\frac{4500\times0.01\times(1+0.01)^{12}}{(1+0.01)^{12}-1} \\ \Rightarrow A=\frac{50.70}{0.12} \\ \Rightarrow A=422.5 \end{gathered}[/tex]

The monthly payment is $422.5

b. Total payment for a year is:

A=4500+(12x45)=$5040

Total amount paid since January is $5040

c. The percentage of interest is:

[tex]\frac{45\times12}{5040}\times100\%=10.71[/tex]

The percentage interest is 10.71%

Find the number of distinct arrangements of 12 letters in REENGINEERED. Two of the same letter are considered identical

Answers

We have to find the number of distinct arrangements of 12 letters in REENGINEERED.

First, we list the number of unique letters we have and its frequency. We have:

• R: 2

,

• E: 5

,

• N: 2

,

• G: 1

,

• I: 1

,

• D: 1

for a total of 12 letters.

We can then calculate the number of distinct arrangements as the the total number of arrangements divided by the permutations that are repeated.

This can be expressed as the factorial of 12 divided by the product of the factorial of the frequencies of each letter (the letters that have a frequency of 1 will not affect the result so they are ignored for the denominator):

[tex]n=\frac{12!}{2!5!2!}=\frac{479001600}{2*120*2}=\frac{479001600}{480}=997920[/tex]

Answer: there are 997,920 distinct arrangements.

a cube has a volume of seven units. what is the edge length of a cube?

Answers

[tex]7=a^3[/tex]

Given:

The volume of the cube = seven units.

Let a be the edge length of the cube.

Consider the formula for the volume of the cube.

[tex]V=a^3[/tex]

Substitute V=7 in the formula, we get

[tex]7=a^3[/tex]

Taking cubic root on both sides, we get

[tex]\sqrt[3]{7}=a[/tex][tex]T\text{he edge length of the given cube is }\sqrt[3]{7}\text{ units.}[/tex]

or

[tex]T\text{he edge length of the given cube is }1.91\text{ units.}[/tex]

part A Jasmine ran 5 miles in 42 minutes at what rate did Jasmine run Jasmine ran at a rate of ? minutes per mile

Answers

We will find the rate as follows:

[tex]r=\frac{5}{42}[/tex]

So the rate is the distance divided by the time it took to traverse.

Answer below due to inability to type out the following question.

Answers

ANSWER

[tex]11.04\text{ or }\frac{-2+\sqrt{580}}{2}[/tex]

EXPLANATION

Given that:

In the figure provided, the triangle EFG is similar to the triangle is ECD

FE = 12

CD = 12

FG = CF + 2

To find the length CF, apply the similarity triangle theorem

[tex]\frac{\text{ FE}}{\text{ CF}}\text{ }=\frac{\text{ FG}}{CD}[/tex]

Substitute the given data into the above equation

[tex]\begin{gathered} \text{ }\frac{12}{CF}=\frac{CF+2}{12} \\ \text{ cross multiply} \\ \text{ 12}\times12\text{ }=\text{ CF\lparen CF + 2\rparen} \\ \text{ 144 }=\text{ CF}^2\text{ }+\text{ 2CF} \\ CF^2\text{ }+\text{ 2CF -144 =0} \\ \text{ Find CF using the general formula} \\ x\text{ }=\text{ }\frac{-b\pm\sqrt{b^2-\text{ 4ac}}}{\placeholder{⬚}} \\ \text{ a }=1,\text{ b}=2,\text{ c}=-144 \\ \text{ x }=\frac{-2\text{ }\pm\sqrt{2^2-4\times1\times(-144)}}{2} \\ \text{ x}=\text{ }\frac{-2\pm\sqrt{4+576}}{2} \\ \text{ x }=\text{ }\frac{-2\pm\sqrt{580}}{2} \\ \text{ x }=\text{ }\frac{-2+\sqrt{580}}{2} \\ \text{ x }=\text{ }\frac{-2+24.083}{2} \\ \text{ x }=\frac{22.083}{2} \\ \text{ x }=11.04 \\ \text{ Therefore, CF is 11.04 or }\frac{-2+\sqrt{580}}{2} \end{gathered}[/tex]

I need help solving this problem. My answer isn’t coming out right. I have to find the missing length.

Answers

From the given diagram we get that the lines marked with the arrow are parallel, then the two triangles are similar.

To answer this question we will use the following diagram as a reference:

Therefore:

[tex]\frac{?}{18}=\frac{9-4}{9}.[/tex]

Simplifying the above result we get:

[tex]\frac{?}{18}=\frac{5}{9}.[/tex]

Multiplying the above result by 18 we get:

[tex]\frac{?}{18}\times18=\frac{5}{9}\times18.[/tex]

Simplifying the above result we get:

[tex]\begin{gathered} ?=\frac{90}{9}, \\ ?=10. \end{gathered}[/tex]

Answer:

[tex]?=10.[/tex]

Give the name of the parent function and describe the transformation represented.

Answers

5 units to the left and 2 units downwards

Explanation:[tex]f(x)\text{ = |x + 5| - 2}[/tex]

The parent function:

f(x) = |x|

Name of parent function is absolute value function

The transformtion from parent function to the new function:

[tex]\begin{gathered} \text{from f(x) = |x| to f(x) = |x + 5| - 2} \\ \text{For translation:} \\ f(x)\text{ = |x + a| (translation to the left)} \\ f(x)\text{ = |x - a| (translation to the right)} \\ \\ So\text{ f(x) = |x + 5| is a translation of 5 units to the left} \end{gathered}[/tex][tex]\begin{gathered} For\text{ translation: } \\ f(x)\text{ = |x| + a (translation upwards)} \\ f(x)\text{ = |x| }-\text{ a (translation downwards)} \\ \\ So\text{ f(x) = |x| - 2 is a translation downwards} \end{gathered}[/tex]

Combining both transformation:

f(x) = |x + 5| - 2 is a translation of 5 units to the left and 2 units downwards

Jennifer. Leigh Anne, and Karyn went out to eat. Jennifer bought an entrée for $12.95 and split a $4.95 dessert with Karyn, who bought a sandwich for $7.95. Leigh Anne bought soup for $3.95, a salad for $6.95, and coffee for $1.70. Determine the total amount each should pay if tax is 6% and each one tips 15% of her individual bill rounded up to the next quarter.

Answers

The total amount Leigh Anne spent is $3.95 plus $6.95 plus $1.7, that is $12.6. Since they pay a tax of 6% and a tip of 15%, she pays a total of 21% extra; this 21% can be obtained by the tule of three:

[tex]\begin{gathered} 12.6\rightarrow100 \\ x\rightarrow21 \end{gathered}[/tex]

then:

[tex]x=\frac{21\cdot12.6}{100}=2.65[/tex]

Therefore, Leigh Anne spent a total of $15.25.

Assuming the dessert was split in half, then Jennifer spent a total of $15.43. To this amount we have to add the tax and tip. By the same logic as before we have:

[tex]\begin{gathered} 15.43\rightarrow100 \\ x\rightarrow21 \end{gathered}[/tex]

then:

[tex]x=\frac{21\cdot15.43}{100}=3.24[/tex]

Therefore, Jennifer spent $18.75

Finally Karyn spent $10.43, obtaining the extra amount we have:

[tex]\begin{gathered} 10.43\rightarrow100 \\ x\rightarrow21 \end{gathered}[/tex]

Then:

[tex]x=\frac{21\cdot10.43}{100}=2.19[/tex]

Therefore, Karyn spent $12.75.

what is 13 divided by 113.1

Answers

0.11494253 is your answer. If you round to the nearest thousandth your answer would be 0.115


Please help ASAP *image imported*

Answers

theres no image showing up, it just says image imported

If a board 9 feet 6 inches in length is cut into 2 equal parts, what will be the length of each part?
5 feet 2 inches
4 feet 8 inches
4 feet 5 inches
4 feet 9 inches
3 feet 8 inches

Answers

Answer:

4 feet and 9 inches

Step-by-step explanation:

First, we shall convert 9 feet and 6 inches into just inches.

9 x 12 = 108

108 + 6 = 114 inches.

114 divided by 2 = 57 inches.

Then, we divide 57 by 12:

57 divided by 12 = 4.75.

So, we have 4 feet.

0.75 x 12 = 9 inches.

In conclusion, we have 4 feet and 9 inches.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

A radar gun measured the speed of a baseball at 103 miles per hour. If the baseball was actually going 102.8 miles per hour, what was the percent error in this measurement? Round to the nearest hundredth percent

Answers

Answer

Percent Error = 0.195%

Explanation

Percent error is given as

[tex]\text{Percent Error = }\frac{Error}{True\text{ value}}\times100\text{ percent}[/tex]

Error = | (Incorrect value) - (True value) |

Incorrect value = 103 miles per hour

True value = 102.8 miles per hour

Error = | (Incorrect value) - (True value) |

Error = | 103 - 102.8 |

Error = 0.2 miles per hour

[tex]\begin{gathered} \text{Percent Error = }\frac{Error}{True\text{ value}}\times100\text{ percent} \\ \text{Percent Error = }\frac{0.2}{102.8}\times100\text{ percent} \\ \text{Percent Error = 0.195 percent} \end{gathered}[/tex]

Hope this Helps!!!

The Reyes family is going to the mall. When they leave home,

Answers

What is the problem about?

Average speed

What information is given?

Starting odometer reading, ending odometer reading, time taken

What do you need to find?

The average speed of the car

An odometer measures the distance traveled by a wheeled vehicle

The starting odometer reading was 54,362 miles

The ending odometer reading was 54,372 miles

It took 15 minutes to get to the mall

Step 1: Find how far Reyes traveled in 15 minutes

54372 - 54362 = 10 miles

At this speed, the car will travel 10 miles in 15 minutes

Step 2: How far the Reyes would travel in 60 minutes?

The Reyes would travel 40 miles in 60 minutes

what is the area of a triangle with a base of 5ft and a height of 8.4ft?

Answers

To answer this question, we need to remember the formula for finding the area of a triangle:

[tex]A_{\text{triangle}}=\frac{b\cdot h}{2}[/tex]

Where

• b is the base of the triangle

,

• h is the height of the triangle

Then, we have that:

b = 5ft

h = 8.4ft

Then, we have:

[tex]A_{\text{triangle}}=\frac{5ft\cdot8.4ft}{2}=\frac{42ft^2}{2}\Rightarrow A_{triangle}=21ft^2[/tex]

Therefore, the area of this triangle is equal to 21 sq. feet.

Describe the transformations made on this function:(stretch/compression, reflect, left/right, up/down)

Answers

The function we have is:

[tex]f(x)=\frac{1}{2}(x-7)^3+6[/tex]

Since this is a cubic function, we start with the parent cubic function (the simplest form of the cubic function):

[tex]f(x)=x^3[/tex]

And compare it to the given function.

The first thing we can note is that there was a subtraction of 7 to the value of x:

[tex]x\longrightarrow x-7[/tex]

When we add a number to the x value, the graph moves to the left, and when we subtract a number to the x value, the graph moves to the right.

So the first transformation is moving to the right 7 units.

Next, we have that there was +6 added to the expression --> When you add a number to the function, the graph moves up, and when you subtract a number to the function, the graph moves down.

In this case, since we added a constant value of 6, the graph is translated 6 units up.

The second transformation is moving up 6 units.

Finally, let's analyze the effect that the 1/2 has on the function.

We can compress or stretch the graph of a function by multiplying the x by a constant (a number). If the number of between 0 and 1, there is a stretch, and if the number is greater than 1 there is compression.

In this case, the number next to the x is:

[tex]\frac{1}{2}=0.5[/tex]

Since the number is between 0 and 1 there is a stretch of the function.

In summary:

Answer:

Translation of 7 units to the right

Translation of 6 units up

Stretch of the function of 0.5

A basketball team has 13 Active players, in how many ways can 5 players be selected to start the game??

Answers

Answer:

1287

Explanation:

The number of distinct ways n objects can b selected from N total objects is given by

[tex]\frac{N!}{n!(N-n)!}[/tex]

Now in our case, we have a total of 13 basketball players. N = 13 and 5 players to choose n = 5. Therefore, the above formula gives

[tex]\frac{13!}{5!(13-5)!}[/tex][tex]-\frac{13!}{5!8!}[/tex][tex]=\frac{13\cdot12\cdot11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{5!\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}[/tex][tex]=\frac{13\cdot12\cdot11\cdot10}{5!}[/tex][tex]=\frac{13\cdot12\cdot11\cdot10}{5\cdot4\cdot3\cdot2\cdot1}[/tex][tex]=1287[/tex]

Hence, there are 1287 ways 5 different players can be selected from 13 players.

1.Find the quotient of 1/2and 3/4.2. Divide 4by2/33.If 5/9is divided by3, what is the quotient4. Mrs. Dolentebuys 5 1/2kilograms of rice. If she cooks 1/4kilogram for every meal, how many meals will it last?5.Marita needs 2/3meter of lace for each pillowcaseshe makes. How many pillowcasescan she make with 7 1 3meters of lace

Answers

[tex]\begin{gathered} 1)\frac{2}{3} \\ 2)6 \\ 3)\frac{5}{27} \\ 4)22 \\ 5)11 \end{gathered}[/tex]

1) We can find the quotient between two fractions by multiplying the first one by the reciprocal of the second one this way:

[tex]\frac{\frac{1}{2}}{\frac{3}{4}}=\frac{1}{2}\times\frac{4}{3}=\frac{4}{6}=\frac{2}{3}[/tex]

2) Let's now divide 4 by 2/3 following the same principle:

[tex]\frac{4}{\frac{2}{3}}=4\times\frac{3}{2}=\frac{12}{2}=6[/tex]

Notice that we have simplified as well as the previous item (1).

3) Proceeding with that we have:

[tex]\frac{\frac{5}{9}}{3}=\frac{5}{9}\times\frac{1}{3}=\frac{5}{27}[/tex]

4) To find this out, we need to convert that Mixed Number to Improper Fraction:

[tex]\begin{gathered} 5\frac{1}{2}=\frac{2\times5+1}{2}=\frac{11}{2} \\ \frac{\frac{11}{2}}{\frac{1}{4}}=\frac{11}{2}\times4=\frac{44}{2}=22 \end{gathered}[/tex]

We kept the denominator then multiplied it by the whole number and added it to 1. So it will last 22 meals.

5) To find it out we are going to divide 7 1/3 by 2/3 meter, after converting that Mixe Number into an Improper Fraction:

[tex]\begin{gathered} 7\frac{1}{3}=\frac{3\times7+1}{3}=\frac{22}{3} \\ \frac{\frac{22}{3}}{\frac{2}{3}}=\frac{22}{3}\times\frac{3}{2}=\frac{66}{6}=11 \end{gathered}[/tex]

Notice, that we have used the same procedure to convert from Mixed Numbers to an Improper fraction. Marita can make 11 pillowcases.

And those are the answers.

Based on the density graph below, what is the probability of a valuein the sample space being anywhere from 0 to 20?

Answers

Answer

Option A is correct.

Probability of a value in the sample space being anywhere from 0 to 20 = 80%

Explanation

The probability of an event is calculated as the number of elements in the event divided by the total number of elements in the sample space.

For this question,

Number of boxes from 0 to 20 = 20

Total number of boxes in the density graph = 25

Probability of a value in the sample space being anywhere from 0 to 20 = (20/25) = 0.8 = 80%

Hope this Helps!!!

A Labrador retriever weighs 50kg. After a diet and exercise program the dog weighs 41kg. What is the percentage loss in weight.

Answers

inital weight = 50 kg

Final weight = 41 kg

loss = 50 - 41 = 9 kg

[tex]\begin{gathered} \text{percentage loss=}\frac{9}{50}\times100 \\ \text{percentage loss=}\frac{900}{50} \\ \text{percentage loss = }18\text{\%} \end{gathered}[/tex]

the correct answer is 18% in weight loss

Total blood cholesterol level was measured for each of 10 adults. Here are the 10 measurements (in mg/dL).176, 251, 247, 262, 150, 214, 192, 194, 154, 255Send data to calculator(a) What is the mean of this data set? If your answer is not aninteger, round your answer to one decimal place.00(b) What is the median of this data set? If your answer is notan integer, round your answer to one decimal place.(c) How many modes does the data set have, and what aretheir values? Indicate the number of modes by clicking in theappropriate circle, and then indicate the value(s) of themode(s), if applicable.zero modesone mode:two modes: andXS

Answers

Answer:

a) 209.5mg/dL

b) 204mg/dL

c) zero modes

Explanations:

Mean is also known as average of a dataset. Given the data expressed below;

[tex]Mean=\frac{sum\text{ of data}}{sample\text{ size}}[/tex]

Given the following parameters

Sum of data = 176 + 251 + 247 + 262 + 150 + 214 + 192 + 194 + 154 + 255

Sum of data = 2095

Sample size = 10 (Total measurement)

Determine the mean of the data

[tex]\begin{gathered} Mean=\frac{2095}{10} \\ Mean=209.5 \end{gathered}[/tex]

Therefore the mean of the data is 209.5mg/dL

b) The median of the dataset is the value in the middle after rearrangement. On rearranging in ascending order;

150, 154, 176,192, (194, 214), 247, 251, 255, 262

The two values at the middle are 194 and 214.

[tex]\begin{gathered} Median=\frac{194+214}{2} \\ Median=\frac{408}{2} \\ Median=204 \end{gathered}[/tex]

c) The mode of the data is the value that occur the most in the dataset. SInce all the data only appear once in the dataset, hence there are ZERO MODES

Find the equation of the line with the given properties. Sketch the graph of the line. Passes through (1, -6) and (8,3)

Answers

A line equation can be written in slope-intercept form, which is

[tex]y=mx+b[/tex]

Where m represents the slope and b the y-intercept.

If we evaluate our points on this form, we're going to have a linear system where the solutions are those coefficients.

[tex]\begin{cases}3=8m+b \\ -6=m+b\end{cases}[/tex]

If we subtract the second equation from the first, we're going to have a new equation only for the slope.

[tex]\begin{gathered} 3-(-6)=8m+b-(m+b) \\ 3+6=8m+b-m-b \\ 9=7m \\ m=\frac{9}{7} \end{gathered}[/tex]

Now that we have the slope, we can use any of the equations to find the b value.

[tex]\begin{gathered} -6=(\frac{9}{7})+b \\ -6-\frac{9}{7}=b \\ b=-\frac{51}{7} \end{gathered}[/tex]

Then, our line equation is

[tex]y=\frac{9}{7}x-\frac{51}{7}[/tex]

And this is the graph

10 Find x. 30° 5V3 10 5 73 1073

Answers

Do you have a pcture of this problem?

thanks

5

I need help fast thanks it looks kinda hard and I can’t figure it out

Answers

Looking at the figure, we see that there are 6 identical squares of side 26 yd.

We know that the area of a square of side L can be calculated using the formula:

[tex]A=L^2[/tex]

Now, if there are 6 squares, the total area is:

[tex]A_{\text{Total}}=6\cdot L^2[/tex]

From the problem, L = 26 yd, then:

[tex]\begin{gathered} A_{\text{total}}=6\cdot26^2 \\ \therefore A_{Total}=4056yd^2 \end{gathered}[/tex]

y=-2x + 4 3y + 6x = 12 O One Solution O No Solutions o Infinitely Many Solutions

Answers

To find the number of solutions of a system of linear equations you need to identify the slope (m) of each equation

[tex]y=mx+b[/tex]

If the slope is the same in both lines the system has no solution.

If the slope is different in the lines the system has one solution.

If the equation are the same (incluided the value of b) the system has infinitely many solutions.

In the given equations the slope is:

First equation:

[tex]y=-2x+4[/tex]Slope: m=-2

Second equation:

[tex]3y+6x=12[/tex]

Write the equation in slope-intercept form by solving for y:

[tex]\begin{gathered} 3y+6x-6x=-6x+12 \\ 3y=-6x+12 \\ \\ y=-\frac{6}{3}x+\frac{12}{3} \\ \\ y=-2x+4 \end{gathered}[/tex]Slope: m= -2In this case as the equatinos are the same the system has infinitely many solutions

What is the value of sin C? a) 15/17b) 15/8c) 8/15d) 8/17

Answers

Answer:

d) 8/17

Explanation:

From trigonometry, we know that in a right triangle:

[tex]\sin \theta=\frac{Opposite}{\text{Hypotenuse}}[/tex]

From the diagram:

• The side, opposite C, is 8.

,

• The ,hypotenuse, is 17.

Therefore:

[tex]\sin C=\frac{8}{17}[/tex]

Solve the triangle: Q=60", B = 60", y = 60". If it is not possible, say so.a= 1, b = 1,0 = 1a== 13,6 = 13,0 = 3a = 100,6 = 100,c = 100This triangle is not solvable.

Answers

Solution:

this triangle is not solvable because to solve this triangle we need one of the sides to find the missing sides.

Could you explain the following:Use s=rwt to find the value of the missing variable.S=pi/5m, r=7m, t=2sec

Answers

Answer:

[tex]0.0449[/tex]

Explanation:

Here, we want to find the value of the missing variable w

We start by substituting the individually given values as follows:

[tex]\begin{gathered} \frac{\pi}{5}\text{ = 7}\times w\times2 \\ \\ w\text{ = }\frac{\pi}{5\times7\times2}\text{ = 0.0449} \end{gathered}[/tex]

The number of dogs per household in a neighborhood is given in the probabilitydistribution. Find the mean and the standard deviation. Round to 1 decimal.# of Dogs0123stP(x)0.620.240.070.05.02a) What is the mean rounded to 2 decimal place?b) What is the standard deviation rounded to 2 decimal place?

Answers

[tex]\sum ^n_{i\mathop=1}\frac{\text{xiP(x)}}{N}=\frac{0\cdot0.62+1\cdot0.24+2\cdot0.07+3\cdot0.05+4\cdot0.02}{0.62+0.24+0.07+0.05+0.02}=\frac{0.61}{1}=0.6[/tex]

[tex]s=\sqrt[]{\frac{(x-\mu)^2p(x)}{n}}[/tex]

[tex]\begin{gathered} \sum ^n_{i\mathop=1}(x-\mu)^2p(x)=(0-0.61)^20.62+(1-0.61)^20.24+(2-0.61)^20.07+.. \\ \text{ (3-0.61)}^20.05+(4-0.61)^20.02=0.9179 \\ \end{gathered}[/tex][tex]s=\sqrt[]{\frac{0.9179}{1}}=0.958\approx0.96[/tex]

Other Questions
A company is making building blocks. What is the length of each side of the block? V=1 ft3 The length of each side is Myra has a remote control toy boat.she runs the toy boat on a lake at a constant speed. The graph of a function representing the toy boats distance, y , in feet , from the shore of the lake after X seconds includes the points (1,8) and (1.5, 10.1) A bank features a savings account that has an annual percentage rate of 4.1 % with interestcompounded monthly. Zach deposits $3,000 into the account.How much money will Zach have in the account in 1 year?Answer = $Round answer to the nearest penny.What is the annual percentage yield (APY) for the savings account?%. Round to the nearest hundredth of a percent.APY= At work one day, Erica Franz received 11 packages. Speedy Delivery delivered four times as many as Ralph's Express, while Ralph's Express delivered one more than SendQuick Package Service. How many packages did each service deliver to Erica? Describe how this idea influences beners lee work today. Use two details from the text to support your answer ( MUST READ THE TEXT ) A car's velocity is modeled by v(t) = 0.5t2 10.5t + 45 for 0 t 10.5, where velocity is in feet per second and time is in seconds. When does the car come to a complete stop? 2.5 seconds 6 seconds 10.5 seconds 15 seconds Solve the quadratic equation. Show all of your steps.x + 3x - 5 = 0MaRelGeaGroTrig Stat Henry started the school year with 3 packages of pencils. He used 4 pencils each week. If a school year is 36 weeks, during which week will he run out of pencils? Write an nth term of arithmetic sequence -5,-2,1,4 A survey was given to a random sample of 1750 voters in the United States to askabout their preference for a presidential candidate. Of those surveyed, 28% of thepeople said they preferred Candidate A. Determine a 95% confidence interval for thepercentage of people who prefer Candidate A, rounding values to the nearest tenth. How the covid-19 and omicron viruses affects the peripheral nervous system . A rectangle or televisions length is 3 inches more than twice its width the perimeter of the television is 144 inches what is the width of the television A ball of mass 1.86 kilograms is attached to a cord 1.29 meters long and swung in a vertical circle at a constant speed of 5.27 meters per second. What is the centripetal force acting on the ball? Include units in your answer. What is the tension in the cord when the ball is at the bottom of its path? Include units in your answer. What is the tension in the cord when the ball is at the top of its path? Include units in your answer. All answers must be in 3 significant digits. Which of the following best states a conflict found in TheCrucible?A. Abigail Williams tries to continue her affair withJohn Proctor, but he declines.B. Elderly Giles Corey dies after being crushed byseveral large stones.c. Reverend Parris says that Abigail Williams stolehis money and ran away from Salem.D. Elizabeth Proctor receives a small doll from MaryWarren that has a needle in it. Points A(-2,-3),B(-2,4),and C(3,6) are three vertices of parallelogram ABCD. Opposite sides of a parallelogram have the same length. Draw the parallelogram in the coordinate plane and label the coordinates of the fourth point. The figure below is an isosceles trapezoid:KLIK = 12x - 34IL = 4x - 10X =Blank 1: We have two fractions, 3/4 and 7/6, and we want to rewrite them so that they have a common denominator (and whole number numerators).What numbers could we use for the denominator?Choose 2 answers:(Choice A)A8(Choice B)B12(Choice C)C18(Choice D)D24 volume= {1}{3} * \pi * r ^{2}* hHELPsolve for H Convert the following unit areas as indicated. Choose the right answe Area Conversion Number Table English Area Conversion Number Metric Area Square Miles Square Miles Acres Acres Square Yards Square Feet Square Inches 2.59 259 4.05 x 10-3 4.05 x 10-1 8.36 x 10-1 9.29 x 10-2 6.45 Square Kilometers Hectares Square Kilometers Hectares Square Meters Square Meters Square Centimeters 50 in.2 to cm2 Alfred needs to buy small pumpkins that cost $2.75 each. The function he uses is ()=2.75. Use the function to determine the cost of 25 pumpkins.