Question:Solve the formula I = Prt to find the principal, P, when I = $272.25, r = 2.2%, and t = 3 years.

We are given the following equation:

Where are asked to find the value of "u". To do that we need first to solve for "u", first by adding 4 on both sides:

Now, we will divide by 2 on both sides:

Therefore, the value of "u" is 5

y=12

Explanation

The subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same,

in order to know the y value, we have to isolate y, then

Step 1

subtract 6 in both sides

Step 2

add like terms

therefore, the answer is

I hope this helps you

The general sine function is given as

Where

A=Amplitude; B= Period Factor; Horizontal shift; D= Vertical shift or displacement

From the sine curve, the following can be found

we get that the answer is

Solution

We are given that

Length (l) = 4ft

Width (w) = 2ft

Height (h) = 3ft

Note: Formula for Surface Area of the Locker

Substituting the parameters

Therefore, the surface area is

Solution:

The arc length of a circle is given by the following equation:

where theta is the central angle and r is the radius of the circle. Then, replacing the given data into the previous equation, we get:

solving for R, we get:

then, the correct answer is:

The linear regression equation is expressed as

y = 0.

From the image above,

measured angle 2 is 80degrees because the corresponding angles are equal.

Also meansured angle 1 + measured angle 2 is 180 degrees;

because the sum of angles on a straight line is 180 degrees

First, let's find the slope of the line that passes through the points (-4,3) and (6,2):

Now we can use the first point to get the equation of the line:

therefore, the equation of the line is y=-1/10x+13/5

Answer

Standard deviation of the sample proportion = 0.0176

Explanation

For a distribution with proportion, p, the standard deviation of the sample proportion is given as

where

p = sample proportion = 0.0995

n = sample size = 290

Hope this Helps!!!

How much did she spend?

She had 80 dollars, and after buying them she had 16 dollars. Then she spent

80 - 16 = 64

she spent $64 on 8 books.

How much did each book cost?

Since 8 books cost $64, each one should cost:

64 ÷ 8 = 8

each one cost $8.

We have the following:

We must calculate the solution since that is the point of intersection.

we equalize the equations and we have:

for y:

The point is (1, -1)

Therefore, the answer is the graph A.

Info given

Bob and dale served a total of 83 orders Monday at the school cafeteria. rita served 9 fewer orders than bob. Dale served 2 times as many orders as bob. how many orders did they each serve​

Solution

We can find the number of orders for Rita like this:

And for Dale we have this:

Answer:

=====================

Answer:

[tex](x,y)=\left(\; \boxed{-2,13} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y)=\left(\; \boxed{1,10} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}\phantom{bbbb}y=x^2+9\\x+y=11\end{cases}[/tex]

To solve by the method of substitution, rearrange the second equation to make y the subject:

[tex]\implies y=11-x[/tex]

Substitute the found expression for y into the first equation and rearrange so that the equation equals zero:

[tex]\begin{aligned}y=11-x \implies 11-x&=x^2+9\\x^2+9&=11-x\\x^2+9+x&=11\\x^2+x-2&=0\end{aligned}[/tex]

Factor the quadratic:

[tex]\begin{aligned}x^2+x-2&=0\\x^2+2x-x-2&=0\\x(x+2)-1(x+2)&=0\\(x-1)(x+2)&=0\end{aligned}[/tex]

Apply the zero-product property and solve for x:

[tex]\implies x-1=0 \implies x=1[/tex]

[tex]\implies x+2=0 \implies x=-2[/tex]

Substitute the found values of x into the second equation and solve for y:

[tex]\begin{aligned}x=1 \implies 1+y&=11\\y&=11-1\\y&=10\end{aligned}[/tex]

[tex]\begin{aligned}x=-2 \implies -2+y&=11\\y&=11+2\\y&=13\end{aligned}[/tex]

Therefore, the solutions are:

[tex](x,y)=\left(\; \boxed{-2,13} \; \right)\quad \textsf{(smaller $x$-value)}[/tex]

[tex](x,y)=\left(\; \boxed{1,10} \; \right)\quad \textsf{(larger $x$-value)}[/tex]

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

From Triangle ABC, we have that:

CONCLUSION:

The measure of B and C are: 45 and 45 degrees --- OPTION A

Part 1

we have

2(3m+7)

For m=1 ------> 2(3(1)+7)=2(10)=20

For m=2-----> 2(3(2)+7)=2(13)=26

we have

6m+14

For m=1 -----> 6(1)+14=20

For m=2----> 6(2)+14=26

Remember that

2(3m+7) is the same that 6m+14

Given : b(x) = | x + 4 |

So, to find b(-10) , substitute with x = -10 at the function b(x)

So, b(-10) = | -10 + 4 | = | -6 | = 6

In order to estimate the portion of grades between 66 and 90, first let's find the z-score for these two values, using the formula:

So we have:

Looking at the z-table, a z-score of 1.5 corresponds to a z-value of 0.0668.

Since we have this z-value from the left and right, the percentage we want is:

The unit price of an item is the cost per unit of the item. We divide the price of certain number of units of an item by the number of units to find the unit price of that item.

Answer:

Quotient: 8

Remainder: 2

Explanation:

If we divide 26 by 3, we get:

So, the quotient is 8 and the remainder is 2.

Answer:  Quotient: 8 Remainder: 2

Step-by-step explanation: 26/3 = 8 r2

Step 1:

Let the height below sea level before she descends = h feet

The length she descended after 10 minutes = 21.4 feet

The height of the submarine after descended below the sea level = 90.6 feet

Step 2:

Height of the submarine before descended below the sea level

x = 90.6 - 21.4

x = 69.2 feet

Final answer

69.2 feet

The vertex Y is triangle WXY is (7, -8)

The triangle will translate by the rule (x + 3, y - 4)

That means it will be moved right 3 units and down 4 units

So we will add the x-coordinate of point Y by 3 and subtract its y-coordinate by 4 to get its image Y'

The image of point Y is

Y' = (7 + 3, -8 - 4)

Y' = (10, -12)

The correct answer is C

SOLUTION:

Case: Triangles

Method:

First, It is an Isosceles triangle

When the base angles are equal, the opposite sides are equal too

Next, find y using Pythgoras theorem

Final answer:

In order to calculate the percentage of surveyed people that liked red cars, we need to divide this amount of people by the total amount of people surveyed.

So we have:

Therefore the percent of the people surveyed that liked red cars is 4%.

∠Y = ∠L (option C)

FLAG is similar to XYZG.

This means the corresponding angles are congruent (equal).

∠F = ∠X

∠L = ∠Y

∠A = ∠Z

∠G =∠G

Hence, ∠Y = ∠L (option C)

The given equations are

y = x^2 + 2x + 7

y = x + 7

We would substitute y = x + 7 into the first equation. It becomes

x + 7 = x^2 + 2x + 7

Collecting like terms, it becomes

x^2 + 2x - x + 7 - 7 = 0

x^2 + x = 0

By factorising x, it becomes

x(x + 1) = 0

Thus,

x = 0 or x + 1 = 0

x = 0 or x = - 1

Substituting x = 0 into y = x + 7, it becomes

y = 0 + 7

y = 7

Thus, one solution set is (0, 7)

Substituting x = - 1 into y = x + 7, it becomes

y = - 1 + 7

y = 6

Thus, another solution set is (- 1, 6)

Therefore, the solution sets are

{(0, 7), (- 1, 6)}

Option A is correct

Given

To find the zeros of multiplicity one, multiplicity 2, multiplicity 3.

Now,

The zeros of multiplicity 1 are,

The zeros of multiplicity 2 are,

There are no zeros of multiplicity three since the polynomial has no factor to the power 3.

Answer

The answer is 17.

Explanation

The absolute value of any number is taking the positive part of any number. For example, the absolute value of -2 = | -2 | = 2, the absolute value of -99 = | -99 | = 99.

So, the absolute value of -17 = | -17 | = 17.

Hope this Helps!!!

Since a whole revolution has 360º, when we have an angle bigger than 360º the angles start to repeat.

We can subtract 360º to the given angle to find the coterminal angle. In this case:

And from an reference angle of 0º, this is exactly a half revolution. Thus, the angle is in the x axis, and it's coterminal angle is 180º

The estimate is 5 while the difference is 4.3

Here, we want to find the estimate the difference and also get the real difference between the two numbers

To get the estimate, we round up each of the numbers to the closest integer

When we talk of an integer, we mean the nearest whole number

Thus, 8.5 becomes 9

while 4.2 becomes 4

The estimated difference is thus 9-4 = 5

However, the actual difference is what we have when we actually make a direct subtraction

Thus, mathematically, we have this as 8.5 - 4.2 = 4.3