4(1 + 9x)
4 + 36x (Distributing)
The answer is 36x + 4
Frank and Erica are selling ribbons to raise money for the football team. The graph shows the linear relationship between the number of ribbons each of them has left to sell and the number of days that they have been selling ribbon
Notice how both lines intersect at 18 days. That means that at that point in time, both lines represent a value that is exactly the same.
Therefore, Frank and Erica will have the same to sell on Day 18
(Option J)
Find θ for the given trigonometric function. cos θ= 0.8317
Take the inverse cosine of both sides:
[tex]\begin{gathered} cos^{-1}(cos(\theta))=cos^{-1}(0.8317) \\ so: \\ \theta=33.726 \end{gathered}[/tex]Answer:
33.726
-Quadratic Equations-write a standard form Quadratic Equation with the given solution.
Answer:
x² + 49 = 0
Explanation:
An equation with the form (x - a)(x - b)= 0 has as a solutions x = a and x = b.
In this case, the solutions are x = 7i and x = -7i, so the equation will be:
(x - 7i)(x - (-7i)) = 0
(x - 7i)(x + 7i) = 0
Now, we need to apply the distributive property, so:
x(x) + x(7i) - 7i(x) - 7i(7i) = 0
x² + 7xi - 7xi - 49i² = 0
x² - 49i² = 0
Since, i² = -1, we get:
x² - 49(-1) = 0
x² + 49 = 0
Therefore, the quadratic equation in standard form is:
x² + 49 = 0
This is the standard form of the given quadratic equation is [tex]x^{2} +49=0[/tex]
Quadratic Equation-It is a type of equation in which the maximum power a variable can hold is 2 and the variable cannot be 0
The solution of the given equation are x=7i and x=-7i
we can write the equation as (x-7i)(x-(-7i))=0
as (An equation in the form of (x-a)(x-b)=0 is having x=a and x=b as their solution)
(x-7i)(x+7i)=0
According to the distributive property
(Distributive property-It states that A(B+C)=AB+AC)
x(x)+x(7i)-7i(x)-7i(7i)=0
[tex]x^{2}[/tex]+7xi-7xi-49[tex]i^{2}[/tex]=0
[tex]x^{2}[/tex]-49[tex]i^{2}[/tex] =0
since,([tex]i^{2}[/tex]=-1),we get:
[tex]x^{2}[/tex]+49=0
hence, the quadratic equation in standard form is
[tex]x^{2}[/tex]+49=0
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Tyler se comió x bocadillos de frutas, y Han comió m menos que eso. Escribe una expresión para la cantidad de bocadillos de frutas que comió Han.
the expression
[tex]x-m[/tex]represents the amount of snacks Han ate.
What steps do you take in order to construct an equilateral triangle using a compass and a straight edge?
An equilateral triangle is one that has three equal sides, therefore it is more importante than with the rule to create 3 sides of the same length.
ill give 50 points and brailets if u ansewr fast and ergent
The linear equation that models the cost as a function of the number of hours is:
y = 40*x + 20
How to write the equation?We know that a repair that takes two hours costs $100 and a repair that takes 6 hours costs $260.
Let's assume this is a linear equation, then:
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x1, y1) and (x2, y2), then the slope is:
slope = (y2 - y1)/(x2 - x1)
Here we have the two points (2, 100) and (6, 260), then the slope is:
a = (260 - 100)/(6 - 2) = 160/4 = 40
So our line is something like:
y = 40*x +b
To find the value of b we use the fact that our line passes trhough (2, 100), then:
100 = 40*2 + b
100 - 80 = b
20 = b
Then the linear equation is:
y = 40*x + b
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18 ÷ (-9)F. 9G. 2H. -2I. -9
We solve as follows:
[tex]\frac{18}{-9}=-2[/tex]So, the solution is h. -2
1=1
what is the answer
Answer: After about 30 seconds of consideration I am proud to say that the answer is probably 1
:)
The center of dilation, the original point, and its image do not line up on the same ray. ** is this true or false?
ANSWER
FALSE
EXPLANATION
A dilation is a transformation that changes the size of an object. It could be an enlargement or a reduction.
The center of dilation is the point where the dilation rays come from. They pass through the original point as shown in the diagram below:
As we can see, point O is the center of dilation, point B is an image of point A and the ray that connects them is OB.
So, the center of dilation, the original point and its image actually line up on the same ray.
The statement is FALSE
Find AB. A =20B = 10C = 54 D = 12
Answer:
C. 54
Explanation:
The triangles ABD and ACD are congruent by SAS (Side - angle - side) becuase
AD is congruent to itself
∠ADB = ∠ADC
BD is congruent to CD
So, the length of AB is equal to the length of AC and we can write the following equation
AB = AC
4x + 6 = 5x - 6
Solving for x, we get:
4x + 6 + 6 = 5x - 6 + 6
4x + 12 = 5x
4x + 12 - 4x = 5x - 4x
12 = x
Then, the length of AB is
AB = 4x + 6
AB = 4(12) + 6
AB = 48 + 6
AB = 54
Therefore, the answer is
C. 54
Tina has earned a total of 9,644 frequent flyer miles by traveling between twin falls and Preston. she has made 4 trip time how many miles is one trip between thses to city's.
it is given that total miles travelled by tine are 9644 miles in the four trips.
now we calculate the distance travelled in one trip by tina,
[tex]\frac{9644}{4}=2411\text{ miles}[/tex]so tina travels 2411 miles in one trip.
c12334un567co89f(x)52241788794g(x)657929 l'12.3Use the table to evaluate the expression,(gºf)(3) =help (numbers)
Question:
Solution:
By definition of composition of functions, we have that:
[tex](g\circ f)(x)=\text{ g(f(x))}[/tex]Now, according to the table, if we evaluate above in x=3, we get:
[tex](g\circ f)(3)=\text{ g(f(3)) = g(2)=5}[/tex]so that, we can conclude that the correct answer is:
[tex](g\circ f)(3)=\text{5}[/tex]My question is #9 but I am confused if it is true or false
Given data:
The first condition is AB=XY.
The second condition is BC=YZ.
The third condition is ∠B=∠Y.
Follow the above condition then, triangle ABC is congruent to the triangle XYZ by SAS.
Thus, the first statement is true.
What is the slope of a line that is parallel to the line y = 3/4x + 2?
-4/3
-3/4
3/4
4/3
Answer:
The slope of this line is 3/4.
what is the domain of this exponential function? 1) { x | x > 0 }2) { x | x < 0 }3) { x | x ≤ 0 }4) { x | x ≥ 0 }5) all real numbers
Option 5 is the correct answerr.
That is, all real numbers
The graph shown below displays thechange in the number of hurricanes thatoccurred over time.Which statement is the best description ofthe association between these variables?Choose 1 answer:A) As time went by, the number of hurricanestended to increase.B) As time went by, the number of hurricanestended to decrease.C) There is no clear relationship between timeand the number of hurricanes thatoccurred.
From the graph, it can be observed that number of hurricanes decreases as well as increases with increase in time (year since 1970). All points are distributed over the graph. So specific relation between number of hurricanes and time (year since 1970) can not be determined.
Thus option C is correct.
Complete the sentence below. A rhombus is a rectangle. always sometimes never Submit
The correct answer is Never
The coordinates of the terminal point of the vector <9,4> with its initialpoint is at (-3, 2) is (a, b). State the value of a + 2b. *
Answer:
[tex]a+2b=18[/tex]Step-by-step explanation:
The vector in component form is given as:
[tex][/tex]Therefore, if the vector <9,4> has initial point at (-3, 2), to find the terminal point:
[tex]\begin{gathered} 9=x_2-(-3) \\ 4=y_2-2 \end{gathered}[/tex]Solve for x2 and y2.
[tex]\begin{gathered} x_2=9-3=6 \\ y_2=4+2=6 \end{gathered}[/tex]Terminal point (a,b) would be (6,6), hence the value of a+2b:
[tex]\begin{gathered} a+2b=6+2(6) \\ a+2b=18 \end{gathered}[/tex]what us the value of x that makes the equation true?
A store sells a $400 microscope after a markup of 32%. What is the price of the microscope at the store?
O $128
O $272
O $528
O $672
Using the markup, the price of the microscope at the store is 528 dollars.
What is markup?Markup shows how much more a company's selling price is than the amount the item costs the company.
In other words, markup is the amount by which the cost of a product is increased in order to derive the selling price.
Therefore, the store sells A store sells a $400 microscope after a markup of 32%. The price of the microscope at the store can be calculated as follows:
markup = 32% of 400
markup = 32 / 100 × 400
markup = 12800 / 100
markup = $128
Therefore,
price of the microscope = 400 + 128
price of the microscope = $528
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I have a calculus one question about derivatives as rates of change when it comes to population picture included
Okay, here we have this:
Considering the provided information, we are going to calculate the requested population, so we obtain the following:
Let us remember that we are talking about linear growth, therefore we will solve for the following formula:
[tex]\begin{gathered} f(x)=b+mx \\ 68000=17000+m(2) \\ 51000=2m \\ m=\frac{51000}{2} \\ m=25500 \end{gathered}[/tex]Now, let's calculate the population after one year:
[tex]\begin{gathered} f(x)=17000+25500x \\ f(1)=17000+25500(1) \\ f(1)=17000+25500 \\ f(1)=42500 \end{gathered}[/tex]Finally we obtain that after one year the population will be 42500.
You have 2 different savings accounts. For Account A, the simple interest earned after months is $. For Account B, the simple interest earned after months is $. If the interest rate is % for Account A and % for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Question content area bottom
Part 1
Account A has a principal of $
enter your response here. (Round to the nearest dollar as needed.)
The principals of each account are given as follows:
Account A: $250.Account B: $400.The account that earned the most interest in the first month was Account A.
How to obtain the balance using simple interest?The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are explained as follows:
P is the value of the initial deposit.r is the interest rate, as a decimal.The interest accrued after t years is given as follows:
I(t) = Prt.
For Account A, the simple interest earned after 9 months is $6.94, considering a rate of 3.7%, hence the principal is obtained as follows:
6.94 = P x 0.037 x 9/12 (as the time is given in years)
0.02775P = 6.94
P = 6.94/0.02775
P = $250.
Then the interest during the first month was of:
I(1/12) = 250 x 0.037 x 1/12 = $0.77.
For the second account, considering the parameters, the principal is obtained as follows:
13.80 = P x 0.023 x 18/12
0.0345P = 13.80
P = 13.80/0.0345
P = $400.
Then the interest during the first month was of:
I(1/12) = 400 x 0.023 x 1/12 = $0.767. (which is less than account A).
Missing InformationThe problem is:
"You have 2 different savings accounts. For Account A, the simple interest earned after 9 months is $6.94. For Account B, the simple interest earned after 18 months is $13.80. If the interest rate is 3.7% for Account A and 2.3% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer."
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Eric and Sarah both have lemonade stands. The graph below represents how many cupsof lemonade Eric sells per day. The equation represents the rate at which Sarahmakes lemonade. Who sold more cups of lemonade in 5 days?
The graph indicates that Eric sells 60 cups of lemonade in 5 days.
Substituting x = 5 in the equation of Sarah, we get:
y = 10x
y = 10*5
y = 50
That is, Sarah sells 50 cups of lemonade in 5 days.
Then, Eric sells more cups.
The winter clothing drive has received donations of 15 coats, 27 pairs of gloves, 38 scarves, and 20 hats so far. Based on this data, what is a reasonable estimate of the probability that the next donation is not a pair of gloves? A: .54 B: .73C: .27 D: .37
we must add all the garments that are not gloves and divide them by the total
we add 15 coats, 38 scarves and 20 hats
[tex]15+38+20=73[/tex]and divide by the total
[tex]15+38+20+27=100[/tex][tex]\frac{73}{100}=0.73[/tex]so, the right option is B
7. Tres hermanos tienen una bolsa de golosinas. Quieren regalarle a su padre un trozo de twizzler cada uno. Si cada trozo de twizzler que regalan tienen 100 mm, ¿cuántos centímetros de twizzler tendrá en total el padre?
Como cada uno de los hermanos le regalará un trozo de twizzler a su padre, ékl tendra tres twizzlers. En milímetros eso es
[tex](3)(100)=300\text{ mm}[/tex]Ahora tenemos que convertir los milimetros a centímetros. Recordemos que un centímetro tiene 10 milímetros. Entonces, tenemos que dividir la cantidad total de milímetros entre 10.
[tex]\frac{300}{10}=30[/tex]Por lo tanto el padre tendrá 30 cm de twizzler en total.
Can you please answer so I already have the answers on the side if you can see but can you show me how he did it
What is 0.023% of 2100?
Word "is" means = and the word "of" means times
So it is x = 0.023% * 2100
At first, change 0.023% to a normal number by dividing it by 100
[tex]x=\frac{0.023}{100}\times2100[/tex]Let us simplify the right side
[tex]x=0.023\times21[/tex]Now use your calculator to find the answer
x = 0.483
0.483 is 0.023% of 2100
Divide.(4x^3 + 8x ^2 +7x+ 10) = (2x+1)Your answer should give the quotient and the remainder.Quotient:Remainder:
The Solution.
The given polynomial is
[tex]\frac{4x^3+8x^2+7x+10}{2x+1}[/tex][tex]\begin{gathered} \text{The Quotient: 2x}^2+3x+2 \\ \text{The Remainder: 8} \end{gathered}[/tex]Hence, the correct answer is
[tex]undefined[/tex]Identify the percent, amount, and base in this problem.
What percent of 80 is 40?
Step-by-step explanation:
well its going to be like this
80%/100 and 40/x
now to find the x you have to do cross products.
so 80% times 40
3200
the divide it by 100.
32
there you go
32 percent of 80 is 40
Perform the indicated operation and express the result as a simplified complex number in the form a+bi. Do not put any spaces between your characters.(-2-4i)+(1+6i)simplifies to Answer
Given the expression:
(-2 - 4i) + (1 + 6i)
Let's simplify the expression.
To simplify the expression, let's combine the real and imaginary parts.
• Remove the parentheses:
[tex]-2-4i+1+6i[/tex]• Combine the like terms:
[tex]\begin{gathered} -2+1-4i+6i \\ \\ -1+2i \end{gathered}[/tex]ANSWER:
[tex]-1+2i[/tex]The ratio of the measures of the three angles in a triangle are 3:4:6. Determine the measures of each angle of the triangle.
Given:
The ratio of the angles is 3:4:6.
Required:
We need to find the measure of each angle of the triangle.
Explanation:
Let the angles of the triangle be 3x, 4x and 6x.
We know that the sum of the angles is equal to 180 degrees.
[tex]3x+4x+6x=180\degree[/tex][tex]13x=180\degree[/tex]Divide both sides by 13.
[tex]\frac{13x}{13}=\frac{180\degree}{13}[/tex][tex]x=13.85[/tex]Substitute x values in 3x, 4x and 6x.
[tex]3x=3\times13.85=41.55[/tex][tex]4x=4\times13.85=55.4[/tex][tex]41.55+55.4+6x=180[/tex][tex]6x=83.05[/tex]Final answer:
The angles are 41.55, 55.40 and 83.05.