Answers
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]
Related Questions
A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased as shown.
Answers
Answer:
You multiply 155 by 0.40 which is 40% and you get 62 then you add 62 to 155 and your final count of bacteria is 217
Step-by-step explanation:
Carl bought an airline ticket. Two weeks ago, the cost of the flight was $300. Noe the cost is $375. what is the percent increase?
Answers
We have the following equation
[tex]\frac{375-300}{300}\cdot100=\frac{75}{3}=25\text{ \%}[/tex]so the percent increase is 25%
25 over 23 as a decimal rounded to the nearest hundredth
Answers
And rounded: 1.09
Answer:
1.09
Step-by-step explanation:
25/23 is the same thing as 25 divided by 23
Once you get answer round to nearest hundreth
which of the following expression is equivalent to 7 y + 21 y(7+21) 7(y+21). 7(y+3. 21y+7
Answers
The expression given is;
[tex]\begin{gathered} 7y+21 \\ \text{The equivalent is;} \\ =7(y+3) \\ We\text{ use 7 to factor both sides of the expression, hence} \\ \frac{7y}{7}=y \\ \text{And} \\ \frac{21}{7}=3 \\ \text{Therefore, the answer is } \\ 7(y+3) \end{gathered}[/tex]The correct answer is option C
Can you help me with this one please? Only part b
Answers
Simplifying,
[tex]\begin{gathered} ((5+2i)^2-2)i\rightarrow(25+20i+4i^2-2)i\rightarrow(23+20i-4)i \\ \\ \rightarrow(19+20i)i\rightarrow19i+20i^2\rightarrow-20+19i \end{gathered}[/tex]In the first week of July, a record 1,020 people went to the local swimming pool. In the second week, 105 fewer people went to the pool than in the first week. In the third week, 140 more people went to the pool than in the second week. In the fourth week,239 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answers
Answer:
Step-by-step explanation:
huhhhhh
The diagram shows the molecular structure of water. A diagram representing a molecule of water is shown. There is an O at the top with an H branching to its left and another H branching to its right. The ratio of hydrogen atoms to oxygen atoms in water is always the same. How many oxygen atoms (O) are there when there are 8 hydrogen atoms (H)? Enter the correct answer in the box. oxygen atoms
Answers
By using ratio, it is obtained that if there are 8 atoms of hydrogen, there are 4 atoms of oxygen.
What is ratio?
Ratio is used to find a comparision between two quantities with the same unit
The first part of the ratio is called antecedant and the second part of the ratio is called consequent.
Here,
In a molecule of water, there are 2 atoms of hydrogen and 1 atom of oxygen
Ratio of hydrogen and oxygen = 2 : 1
Number of atoms of hydrogen = 8
Let the number of hydrogen atom be 2x and number of oxygen atom be x
By the problem,
[tex]2x = 8\\x = \frac{8}{2}\\x = 4[/tex]
Number of oxygen atom = 4
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Anthony had 2 grams of pepper. Then he used 0.99 grams of the pepper to make some scrambled eggs. How much pepper does Anthony have left?
Answers
Answer:2- 0.99 = 1.01
Step-by-step explanation:
2=2.00
2.00-0.99=1.01
easy
Out of 20 attempts a basket ball player only scored 8 times what percent of his chances did he score?
Answers
Answer:
40%
Step-by-step explanation:
20 x 5 = 100
8 x 5 = 40
Which means 8 out of 20 is 40% of 20.
Find the derivative of the function. Remember to use logarithmic properties before differentiating.y = x(3^2x)
Answers
Find the derivative of the function. Remember to use logarithmic properties before differentiating.
y = x(3^2x)
______________________________
y= u(x) v(x)
u(x) = x
v(x) = 3^2x
_____________
u'(x) = 1
____________
y = a ^f (x)
y'= f '(x) a ^f (x) (ln a)
v(x) = 3^2x
v'(x) = 2 * 3^2x* ln (3)
_______________
dy/ dx = u'(x)v(x) + u(x) v'(x)
dy/ dx = 1* 3^2x + x *2 * 3^2x* ln (3)
dy/ dx = 3^2x (1+2x* ln (3))
________________
Answer
dy/ dx = 3^2x (1+2x* ln (3))
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Which equation represents the line that is perpendicular to y = 1/6 and passes through (-8,-2)?
Answers
Answer:
If it is perpendicular: mperp..=-1/m, so:
mperpendicular= -6.
formula of the line passing through one point:
y-y0=m(x-x0)
so: y+2=-6(x+8)
y=-6x+48-2
y=-6x+46 is the answer
Find the measure of 44.
72° 118°
118°
44
44 =
[?]°
Enter
Answers
The measure of angle 4 is 72°
We can observe that we have been given two parallel lines intersected by a transversal.
We need to find the measure of angle 4.
We can observe that angle which measures 72 degrees angle 4 are corresponding Angles.
We know that the Corresponding Angles are congruent.
Therefore, the measure of angle 4 is 72°
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 5.3
Step-by-step explanation:
[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]
how do I find all of the following that can be a counterexample for the statement below?
Answers
As we need to select counterexamples, we have to select all the options that make the statement x+2>7 a FALSE statement.
Then, we can rearrange:
[tex]\begin{gathered} x+2>7 \\ x>7-2 \\ x>5 \end{gathered}[/tex]We have to select all the options where x is NOT greater than 5: -2, 0, 3, 4.
The options -2, 0, 3, 4 have to be selected.
A certain insecticide kill 70% of all insects in a laboratory experiments A sample of 10 insects is exposed to the insecticide in a particular experiment what is the probability that exactly 3 insectswill die round your answer to four decimal places
Answers
The probability that exactly three insects will die is 0.343
Given 70% chance that an insect will die.
let A be the event that 1 insect dies.
P(A) = 0.7
The probability that the insect will not stay alive
= 1 - P(A)
= 1 - 0.7
= 0.3
Now there is a sample of 10 insects that are affected by the insecticide.
Therefore number of ways exactly 3 insects will die using binomial distribution is
= 10C3 × (0.7)³ × (0.3)⁷
= 120 × (0.7)³ × (0.3)⁷
=0.00901
≈ 0.009
Hence the required probability is 0.009 .
A probability distribution is an idealised frequency distribution. The frequency distribution of a certain sample or dataset serves as a description of it.
It is the frequency with which each conceivable value of the variable appears in the dataset. How frequently a value emerges in a sample is determined by its probability of occurrence.
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. You want to buy some underwear. Apackage of 8 costs $3.12. A package of 15costs $6.15. A package of 20 costs $7.60.Which package is the best buy?
Answers
We shall consider the options one after the other before choosing the best option;
Option 1;
[tex]\begin{gathered} \text{Pack of 8 costs 3.12} \\ 1\text{ unit = }\frac{3.12}{8} \\ 1\text{ unit=0.39} \end{gathered}[/tex]Option 2;
[tex]\begin{gathered} \text{Pack of 15 costs 6.15} \\ 1\text{ unit=}\frac{6.15}{15} \\ 1\text{ unit=0.41} \end{gathered}[/tex]Option 3;
[tex]\begin{gathered} \text{Pack of 20 costs 7.60} \\ 1\text{ unit=}\frac{7.60}{20} \\ 1\text{ unit=0.38} \end{gathered}[/tex]Based on the calculations above, the third option is the best deal because that would make you pay the least amount per underwear. By choosing option 3, you will end up paying $0.38 for each underwear.
Therefore, "a package of 20 costs $7.60" is the best buy.
how do I do this on a line?[tex]3 \ \textless \ 2x - 3 \leqslant 13[/tex]
Answers
Let the inequality:
[tex]3\text{ }<\text{ 2x - 3}\leq\text{ 13}[/tex]1. we add + 3 :
[tex]3\text{ +3}<\text{ 2x }\leq\text{ 13}+3[/tex]this is equivalent to :
[tex]6<\text{ 2x }\leq\text{ 1}6[/tex]we resolve for x ( we divide by 2) :
[tex]3<\text{ x }\leq8[/tex]that is the interval:
[tex](3,\text{ 8}\rbrack[/tex]on the real line, the interval is:
On the other hand, the inequality:
[tex]-2\text{ }<\frac{3+x}{4}\leq\text{ 3}[/tex]
1. Multiply by 4:
[tex]-8\text{ }<3+x\leq12[/tex]2. Add -3:
[tex]-11\text{ }that is the interval:[tex](-11,\text{ 9}\rbrack[/tex]
on the real line, the interval is:
8) -14x-7y - 18
-6x-3y-6
I need help badly
Answers
If Brady & Mathew knows that it will sell many of these cameras, should it expect to make or lose money from sell them? How much?
Answers
Given:
• Profit per camera = $186
,• Cost of replacing the camera = $3100
,• Probability it will be replaced once = 4% = 0.04
,• Probability it will be replaced twice = 1% = 0.01
,• Probability it will not be replaced = 95% = 0.95
Now, let's determine if the company should expect to make money or lose money from selling the camera.
Let's find the expected cost of repair.
We have:
E = (0.04 x 3100) + (0.01 x 2 x 3100) + (0.95 x 0)
E = 124 + 62 + 0
E = 186
Therefore, the expected cost of repair is $186.
We can see the profit per camera and the expected cost of repair are the same.
Profit per camera = Expected cost of repair
Since they are equal, the company should expect to neither make nor lose money from selling these cameras.
ANSWER:
Brady & Matthew should expect to neither make nor lose money from selling these cameras.
I need help with this question. I don’t know how to do this.
Answers
Solution:
The arithmetic sequence is given below as
[tex]19,24,29,34,...[/tex]Step 1:
We will calculate the common difference using the formula below
[tex]\begin{gathered} d=t_2-t_1=t_3-t_2 \\ d=24-19=29-24 \\ d=5 \end{gathered}[/tex]Step 2:
We will calculate the fifth term using the formula below
[tex]\begin{gathered} c \\ n=5,a=19,d=5 \\ t_5=19+(5-1)5 \\ t_5=19+20 \\ t_5=39 \end{gathered}[/tex]We will calculate the sixth term using the formula below
[tex]\begin{gathered} t_n=a+(n-1)d \\ n=6,a=19,d=5 \\ t_6=19+(6-1)5 \\ t_6=19+25 \\ t_6=44 \end{gathered}[/tex]We will calculate the seventh term using the formula below
[tex]\begin{gathered} t_7=a+(n-1)d \\ n=7,a=19,d=5 \\ t_7=19+(7-1)5 \\ t_7=19+30 \\ t_7=49 \end{gathered}[/tex]Hence,
The next three terms of the arithmetic sequence are given below as
[tex]\Rightarrow39,44,49[/tex]Question 1(Multiple Choice Worth 2 points)
(Converting Between Systems MC)
For a craft project you need 182 inches of ribbon, but it is only sold by the meter. Determine the amount of ribbon, in meters, you need to buy for the project. (1 inch = 2.54 centimeters and 1 centimeter = 0.01 meter)
462
47
12
5
Answers
Using the conversion method, 4.6228 meter ribbon we need for craft project.
In the given question,
For a craft project you need 182 inches of ribbon, but it is only sold by the meter.
We have to determine the amount of ribbon, in meters.
As given 1 inch = 2.54 centimeters and 1 centimeter = 0.01 meter.
Firstly we know that inches, meters and centimeters all are units to measure the length.
Since we know that in 1 inch have 2.54 centimeters and 1 centimeters have 0.01 meter.
So we firstly convert the 2.54 centimeters in meter.
1 centimeter = 0.01 meter
2.54 centimeter = 2.54×0.01 meter
2.54 centimeter = 2.54×0.01 meter
2.54 centimeter = 0.0254 meter
So we can say that
1 inch = 0.0254 meter
We have to by 182 inches of ribbon. So
182 inches = 0.0254×182 meters
182 inches = 4.6228 meters
Hence, 4.6228 meter ribbon we need for craft project.
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?
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
Area of Irregular Shapes
Nov 03, 2-44:03 PM
Answer:
9
3
100 POINTS PLEASE HELP !!!!!
Answers
Answer:
50.3 square units
Step-by-step explanation:
area of rectangle: 11 x twice the radius
radius = 2
A(rect): = 11(4) = 44 sq units
A (semi-circle) = (π·r²) / 2
A = 4π / 2 = 2π = 6.28 sq units
44.0 + 6.28 = 50.28
Answer:
68.1
Step-by-step explanation:
3.14*3²=28.26
28.26/2=14.13
3*2=6
9*6=54
54+14.13=68.13
68.1
Given Δ ABC with points A (-1,2) B(4,-3) and C (0,0) dilated about a center at the origin by a scale factor of 0.5, what are the coordinates of A'? Show all work.
Answers
The coordinates of A' is (-0.5, 1)
What is Scale Factor?To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object.
A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size.
Given:
A (-1,2) B(4,-3) and C (0,0)
First ABC is dilated by 0.5.
The transformation rule of this dilation is:
(x, y)--> 0.5 (x, y)--> (0.5x, 0.5y)
So, the coordinate of A' after dilation is
(-1, 2 ) --> 0.5(-1, 2)--> (-0.5 , 1)
Hence, the coordinates of A' is (-0.5, 1)
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IS THIS A RELATION A FUNCTION? Justify your answer
Answers
Answer:
A is the correct answer.
Maddie borrowed $1500 at a 4% interest rate. If she pays off the loan in 3 years.
how much will she pay in total with interest?
$1,680
$50
$500
$180
Answers
Answer:
1680
Step-by-step explanation:
Answer:
I guess if she is Pays the money in three years, she will pay a capital of 1500/3 per year, which is 500$ per year. The Interest she pays the first year is: I=Debt*interest rate, so I=1500$*0.04, which is: I=60$. So without other information, i assume she pays 60$ each year, so in three years: I=60*3 --> 180$.
Solve the inequality
6(x/2+4)≥9
Answers
3x+24=9
3x=9-24
3x=-15
x=-5
Use the model of the rectangular prism to answer the question. The width of the
prism is (2x - 2) ft, and its height is (x + 7) ft. The area of the base of the prism is
(3x2 + 3x - 4) ft².
Could the length of b be (3x - 1) ft? Complete the explanation.
Answers
Answer:
[tex]\textsf{$\boxed{\sf No}$\;. The area of the bottom face of the prism is $(3x^2+3x-4)\; \sf ft^2$, and the product}[/tex]
[tex]\textsf{of $(3x-1)$\;ft\;and $\left(\; \boxed{2}\:x-\boxed{2}\;\right)$ ft\;is\;$\left(\; \boxed{6}\:x^2-\boxed{8}\:x+\boxed{2}\;\right)$\;ft$^2$.}[/tex]
Step-by-step explanation:
Given dimensions of a rectangular prism:
Width = (2x - 2) ftHeight = (x + 7) ftArea of the base = (3x² + 3x - 4) ft²The area of the base of a rectangular prism is the product of the width of the base and the length of the base.
To determine if length b could be (3x - 1) ft, multiply b by the width of the base of the prism.
[tex]\begin{aligned}\implies \sf Area\;of\;base&=\sf length \times width\\&=b \times (2x-2)\\&=(3x-1)(2x-2)\\&=3x(2x-2)-1(2x-2)\\&=6x^2-6x-2x+2\\&=6x^2-8x+2\end{aligned}[/tex]
Therefore, the length of b cannot be (3x - 1) as the area of the base when b is (3x - 1) is not equal to the given area of the base.
[tex]\textsf{$\boxed{\sf No}$\;. The area of the bottom face of the prism is $(3x^2+3x-4)\; \sf ft^2$, and the product}[/tex]
[tex]\textsf{of $(3x-1)$\;ft\;and $\left(\; \boxed{2}\:x-\boxed{2}\;\right)$ ft\;is\;$\left(\; \boxed{6}\:x^2-\boxed{8}\:x+\boxed{2}\;\right)$\;ft$^2$.}[/tex]
Famous piece of artwork was up for bid at a museum auction. The minimum bid was more than $20,000. Determine which inequality represents the bid for the artwork.
Answers
The inequality to illustrate the information that the minimum bid was more than $20,000 is b > 20000.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Let the minimum bid be represented by b.
Since it's more than 20000, it implies that it's greater than. This will be illustrated as b > 20000.
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help meeeeeeeeeeeeeee pleaseeeeeee
Answers
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
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