pls help with alg II dying

Alf would prefer to borrow from his parents because their rates are more favourable.

The future value of the loan if he borrows from his parents is given by this formula: A(1 + r)^n

Where:

A = amount  

R = interest rate  

N = number of years  

$15,000(1 + 0.0355)^4 = $17,246.13

The future value of the loan if he borrows from the local bank is given by this formula: : A x e^r x N

Where:

$15,000 x  2.7182818^0.035 x 4 = $62,137.18

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Answer:

256

Step-by-step explanation:

4x4x4x4=256

Answer:

256

Step-by-step explanation:

4^4

4 * 4 * 4 * 4

16 * 4 * 4

64 * 4

256

Multiplication of the given matrix is not possible by definition of matrix multiplication.

Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Expression for multiply,

⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]

Since, We can see that;

First matrix have order 1 x 6

And, Second matrix have order 1 x 4

We know that;

Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.

Hence, By given matrices we get;

Number of column in first matrix (6) ≠ number of rows in second matrix (1)

So, Multiplication of the given matrix is not possible by definition of matrix multiplication.

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Answer : 8$

you have 1$ left

Answer: A. The difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers.

Step-by-step explanation: on Edg 2020

Answer:

a

Step-by-step explanation:

Answer:

BC​=48cm

Step-by-step explanation:

Let A= reference angle,

AC=h=60cm

AB=b=36cm

BC=p=?

Using pythogorean theorem,

h^2=p^2+b^2

√(60^2-36^2)=p

√2304=p

p=48cm

Answer:

slope = - 32 , y- intercept = 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 32x + 5 ← is in slope- intercept form

with slope m = - 32 and y- intercept c = 5

\(\frak{Hi!}\)

\(\orange\hspace{300pt}\above2\)

                          We have the equation \(\boldsymbol{\sf y=-32x+5}\).

                          We need to know its slope and y-intercept.

                         If an equation has the y=mx+c form,  the slope is always

                         multiplied by x, the x co-ordinate. Such is the case here,

                          thereupon we note that the slope is \(\boldsymbol{\sf{-32}}\).

                         As for the y-intercept, that's a constant. Do you remember

                         that constants have no variables attached to them?

                         Since the only number that has no variables attached to it is

                         5, we note that this is the desired value, the y-intercept.

done!!

\(\orange\hspace{300pt}\above3\)

                        \(\large\boldsymbol{\sf{calligraphy}}\)

Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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Answer:

a. \(f^-^1(x)=\frac{x}{4} +3\)

b. \(f(-9)=-48\)

c. \(f^-^1(-9)=\frac{3}{4}\)

Step-by-step explanation:

In a, the -1 means inverse of f(x). To find the inverse, you rewrite the equation in terms of x and y. You replace the x with y and y with x. Then you solve for y.

\(f^-^1(x)=4x-12\)

\(y=4x-12\)

\(x=4y-12\)

\(x+12=4y\)

\(\frac{x}{4} +3=y\)

\(f^-^1(x)=\frac{x}{4} +3\)

In b, all you have to do is plug in -9 into f(x).

\(f(9)=4(9)-12\)

\(f(9)=-48\)

In c, you plug in -9 into inverse function f.

\(f^-^1(-9)=\frac{3}{4}\)

Answer:

Step-by-step explanation:

The answer is B

Answer:

The volume of the polyhedron is 672 cubic inch

Step-by-step explanation:

For a given Cuboid

l = 8 in.

b = 14 in.

h = 6 in.

Now,

Volume of a cuboid

\(\large\boxed{\fcolorbox{blue}{yellow}{V = l × b × h}}\)

= 8 × 14 × 6 in.

V = 672 cubic inch

Thus, The volume of the polyhedron is 672 cubic inch

-TheUnknownScientist

Answer:

672 cubic inch

Step-by-step explanation:

hope it's helpful

There were 21 questions in total in the test

From the question, we have the given parameters related to our computation are

Number of questions answered correctly = 15

Proportion of questions answered correctly = 70%

Represent the total number of questions with T

So, we have the following representation

Number of questions answered correctly = T * Proportion of questions answered correctly

Substitute the known values in the above equation

So, we have the following equation

70% * T = 15

Divide both sides by 70%

T =21

Hence, the total number of questions is 21

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part a.

There is  a 49.1% chance that HRC finds a sample mean between $477 and $527.

part b.

There is a 20.9% chance that the sample mean falls between $492 and $512.

The standard error (SE) of the sample mean.

SE = σ / √(n)

σ = $80 and n = 68.

SE = 80 / √(68)

z1 = (X1 - μ) / SE

z2 = (X2 - μ) / SE

for first scenario:

X1 = $477, X2 = $527, and μ = $499.

z1 = (477 - 499) / SE

z2 = (527 - 499) / SE

For the range $477 to $527:

z1 = (477 - 499) / SE

z2 = (527 - 499) / SE

z1 = -0.275

z2 = 0.35

Probability 1 =  0.4909 = 49.1%

We have a 49.1% chance that HRC finds a sample mean between $477 and $527.

For the second scenario

X1 = $492, X2 = $512, and μ = $499.

z1 = (492 - 499) / Standard Error

z2 = (512 - 499) / SE

We have a 20.9% chance that the sample mean falls between $492 and $512.

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Answer:

Option (B)

Step-by-step explanation:

Properties of a rational number:

1). A decimal number which has the repeating numbers after decimal is a rational number.

Example: 2.134134134......

Here 134 is repeating after decimal so the number is a rational number.

2). A decimal number which can be written as a fraction is a rational number.

Example: 0.25 = \(\frac{1}{4}\)

Here 0.25 can be written as a fraction \(\frac{1}{4}\) therefore, its a rational number.

In the given options,

Option A

No repeating numbers in first number therefore its an irrational numbers.

Option B

0.684 = \(\frac{171}{250}\)

Option C

First number is an irrational number.

Option D

First number is an irrational number.

Therefore, Option (B) is the answer.

Answer:D

O D. 0.684 and 0.1222...

The third number so that the three numbers form a right triangle,

1)40

2)84

Therefore, we can form a right triangle with 9,41,40 and 13,85,84

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

1) By applying Pythagorean theorem,

a²+b²=c²

x²+9²=41²

x²=41²-9²

x²=1681-81

x²=1600

x=√1600

x=40

Therefore, the third number is 40

2) x²+13²=85²

x²=85²-13²

x²=7225-169

x²=7056

x=√7056

x=84

Therefore, the third number is 84

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Note that  in the line graph presented, 3/4 the distance from A to B is 12, thus, t = 12.

Given:

A (- 2 , 0) and B(14, 0)

Using distance formula,      we can determine the distance between coordinates given:

d    = √ ( (x2 - x1)² + ( y2 - y1) ²)

In this case,  x1 = -2  y1 = 0,

x2 = 14, and y2 =  0.

Substituting these     values into the formula, we get:

d = √(  (14 -   (-2 ) ) ² + (0 - 0) ²)

= √((16)² + (0)² )

= √(256)

= 16

The distanc between the points (-2,0) and (14,0) is 16   units.

Recall that we need to find the position of t which    is 3/4 the distance between A and B.

That is:

3/4 x 16

t = 12.


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Answer:

D = 100 - 2p

Where p is the price in dollars of the product and D is the number of products that can be sold at that price

And we need to interpret the slope of this function mean in the context of the problem. And for this case the slope is m=-2 and it means that for every increase in the price in 1 $ we will have a decrease the number of products in two units

Step-by-step explanation:

For this problem we know the following function given:

D = 100 - 2p

Where p is the price in dollars of the product and D is the number of products that can be sold at that price

And we need to interpret the slope of this function mean in the context of the problem. And for this case the slope is m=-2 and it means that for every increase in the price in 1 $ we will have a decrease the number of products in two units

Answer:

Option (2) and Option (4)

Step-by-step explanation:

From the picture attached,

Length of ladder AC = 20 feet

Height of the highest point of the ladder from ground AB = 16 ft

By Pythagoras theorem,

AC² = BC² + AB²

BC² = AC² - AB²

BC = \(\sqrt{(20)^2-(16)^2}\)

     = \(\sqrt{400-256}\)

     = \(\sqrt{144}\)

     = 12

Now, Sinθ = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{\text{AB}}{\text{AC}}\)

                 = \(\frac{16}{20}\)

Cosθ = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{\text{BC}}{\text{AC}}\)

         = \(\frac{12}{20}\)

tanθ = \(\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{\text{AB}}{\text{BC}}\)

        = \(\frac{16}{12}\)

Therefore, Option (2) and Option (4) are the correct options.

The equation that should be used is option 2 and option 4.

Since

Length of ladder AC = 20 feet

Height of the highest point of the ladder from ground AB = 16 ft

So here we apply the Pythagoras theorem,

AC² = BC² + AB²

BC² = AC² - AB²

So,

\(BC = \sqrt{(20)^2 - (16)^22}\\\\ = \sqrt{400 - 256}\\\\ = \sqrt{144}\)

= 12

Now

Sin θ = 16\20

Cos θ = 12\20

tan θ = 16 \12

hence, The equation that should be used is option 2 and option 4.

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Step-by-step explanation:

0.17039244908......

when 343 is divided by 2013

the answer is

5.86888....

The sum of the geometric progression is the sum S₃ = 32

The sum of terms of a geometric progression is given by

Sₙ = a(rⁿ - 1)/(r - 1) where

Given the geometric progression, aₙ = 4(2)ⁿ⁻¹ comparng it with the general term of a geometric sequence aₙ = arⁿ⁻¹, then

Now, we desire S₃, that is Sₙ when n = 3.

So, S₃ = a(r³ - 1)/(r - 1)

= 4(2³ - 1)/(2 - 1)

= 4(8 - 1)/1

= 4(8)

= 32

So, the sum S₃ = 32

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Problem 13

x = central angle = 360-105 = 255 degrees

r = 8 = radius

A = sector area

A = (x/360)*pi*r^2

A = (255/360)*pi*8^2

A = 142.41887

I used the calculator's stored value of pi to get the most accuracy possible.

Round that decimal value however you need to. The same applies to the other questions as well.

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

Problem 14

x = central angle = 114 degrees

r = radius = unknown

A = sector area = 36 square cm

A = (x/360)*pi*r^2

36 = (114/360)*pi*r^2

36*(360/114) = pi*r^2

113.68421 = pi*r^2

r^2 = 113.68421/pi

r^2 = 36.18681

r = sqrt(36.18681)

r = 6.015547

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

Problem 15

x = area of the full circle

The pizza slice shown has an area of 49 square meters.

This is 68/360 of a full circle, which means,

sector area = (68/360)*(full circle area)

49 = (68/360)*x

x = 49*(360/68)

x = 259.41176

Answer:

13)  142.4 in²

14)  6.0 cm

15)  259.4 m²

Step-by-step explanation:

Formula

\(\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2\)

(where r is the radius and \(\theta\) is in degrees)

Given:

Substitute the given values into the formula and solve for A:

\(\implies \textsf{Area}=\left(\dfrac{255^{\circ}}{360^{\circ}}\right) \pi 8^2\)

\(\implies \textsf{Area}=\dfrac{136}{3} \pi\)

\(\implies \boxed{\textsf{Area}=142.4\: \sf in^2 \:(nearest\:tenth)}\)

Given:

Substitute the given values into the formula and solve for r:

\(\implies 36=\left(\dfrac{114^{\circ}}{360^{\circ}}\right) \pi r^2\)

\(\implies \dfrac{36 \cdot 360}{114 \pi}=r^2\)

\(\implies r^2=\dfrac{2160}{19 \pi}\)

\(\implies r=\sqrt{\dfrac{2160}{19 \pi}}\)

\(\implies \boxed{r=6.0\: \sf cm\:(nearest\:tenth)}\)

Given:

Substitute the given values into the formula and solve for r²:

\(\implies 49=\left(\dfrac{68^{\circ}}{360^{\circ}}\right) \pi r^2\)

\(\implies \dfrac{49 \cdot 360}{68 \pi}= r^2\)

\(\implies r^2=\dfrac{4410}{17 \pi}\)

\(\textsf{Area of a circle} = \pi r^2\)

\(\implies \textsf{Area of a circle N} =\dfrac{4410}{17 \pi} \cdot \pi\)

\(\implies \textsf{Area of a circle N} =\dfrac{4410}{17}\)

\(\implies \boxed{\textsf{Area of a circle N} =259.4\: \sf m^2\:(nearest\:tenth)}\)

The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

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After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.

Before moving to solve the equation , let's learn how to solve any algebraic expression:

Step 1: Determine whether the Distributive is necessary.

Property. If so, spread the word!

Step #2: Group similar terms together on either side of the equals symbol.

(meaning: combine all of the similar factors AND

Add up each and every integer (number).

Step #3: Align the variables so that they are all to one side of the equals symbol.

utilizing the inverse process. REMEMBER: No matter what you do

You MUST do to the other side of the equals sign what you did to the one side.

equals (symbol).

Fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

You MUST do anything you do to one side of the equals sign.

the reverse of the equals symbol).

Step #5: Using the variable's ALONE state, isolate it

the opposite process. DO NOT FORGET: No matter what you do to one

You MUST change the other side of the equals symbol to the equals symbol

Given:

2(x + 8)= 2x + 8

2 × x + 2 × 8= 2x + 8

2x+16= 2x+ 8

16= 8

So, x∈∅.

In this equation , the value of x could not be find because variable x is dissolved in itself.

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is a multiplication, you must multiply 13 and 7, and applying the law of signs. this is

thats the answer

Answer:

so you have to understand that

- x - = +

+ x + = +

- x + = -

+ x - = -

so think of it as what is 13 x 7 first

13 x 7 = 91

and theres a negative sign in 13

- x + = -

so -91

have a good day! <3

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).