A, B & C form the vertices of a triangle.
∠
CAB = 90°,
∠
ABC = 64° and AB = 8.7.
Calculate the length of AC rounded to 3 SF.

Answer:

0.70

Step-by-step explanation:

3.50/5 = 0.70

The number of days took to get the video of Felipe 1024 views is 4.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,

v = 4^(1.25d)

We have to find d when v = 1024

1024 = 4^(1.25d)

We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ

1024 = \((4^{1.25} )^d\)

1024 = (5.6569)^d

Taking logarithms on both sides,

㏒ (1024) = ㏒ [(5.6569)^d]

We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)

㏒ (1024) = d ㏒ (5.6569)

d = ㏒ (1024) / ㏒ (5.6569)

d = 4

Hence it took 4 days to for Felipe's video to get 1024 views.

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Answer:

16.625 miles

Step-by-step explanation:

The time elapsed between 4:45 pm and 12 noon is 4 hours and 45 minutes

45 minutes is equivalent to 45/60 = 0.75 hour

Total elapsed time = 4.75 hours

At a speed of 3.5 mph the distance that can be covered

= 3.5 x 4.75 = 16.625 miles

The equation of the line in fully simplified slope-intercept form is y = x + 7.

We have,

From the graph,

The coordinates of the line are:

(0, 7), (-7, 0), and (-2, 5).

We can use any coordinates the line touches on the graph.

We will use,

(0, 7) and (-7, 0)

The equation can be written in the form y = mx + c

m = (0 - 7) / (-7 - 0)

m = -7/-7

m = 1 ______(1)

And,

(0, 7) = (x, y)

So,

y = mx + c ______(2)

7 = 1 x 0 + c

7 = c

c = 7 ______(3)

Now,

From (1), (2), and (3).

y = x + 7

Thus,

The equation of the line in fully simplified slope-intercept form is y = x + 7.

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Answer:

\(\displaystyle y = -3x + 9\)

Step-by-step explanation:

First, find the rate of change of the line:

\(\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{-1 + 2} = m \hookrightarrow \frac{-3}{1} = m \\ \\ \boxed{-3 = m}\)

_______________________________________________

Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:

\(\displaystyle 3 = -3[2] + b \hookrightarrow 3 = -6 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}} \\ \\ OR \\ \\ 6 = -3[1] + b \hookrightarrow 6 = -3 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}}\)

I am joyous to assist you at any time.

Answer:

to much math

Step-by-step explanation:

The function of the graph is:

a)

The graph of the function given is the reflection of the graph of sqrt x along the X axis.

To get the reflected graph of the function across the X axis is obtained by multiplying the function by -1.

So, the transformation of the function of the graph is,

b)

The given graph is the reflection of the graph of sqrt x about the y axis.

Replacing x be -x results in the graph, which is reflected across the Y axis.

So, the transformation of the function of the given graph is,

Answer: 0.0016

Step-by-step explanation: To find the fraction square root, first, find the square root of the numerator and then find the square root of denominator. After finding the square root values, simplify the fraction.

Answer:

1. A = 3/12

B= 4/12

C = 5/12

2......

3. Randy

Step-by-step explanation:

3+4+5 = 12

therefore there are 12 letters in the box

we can say that there are 3/12 A's in the box and do the same for the remaining letters

question two does not make sense

3. the person who has the lowest fraction in value which is A

Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

Translate the word problem into a system of equations, with x representing true/false questions and y representing multiple choice questions:

(1) \(x+y=20\) <-- a test has 20 total questions

(2) \(4x+8y=100\) <-- the test is worth 100 total points

Now we have a system of two equations with two unknowns, which we can solve with the elimination method.

Let's multiply equation (1) by -4 so that we can eliminate x from the system:

\(-4x-4y=-80\)

Now, add this new equation to equation (2) to eliminate x so that we only have one variable left:

\(4y=20\)

Solve for y:

\(y=5\)

Now, substitute this value for y into either the original equation (1) or (2). I will do equation 1 for simplicity:

\(x+5=20\)

Solve for x:

\(x=15\\\)

Notice that we now have values for both x and y, so we are done. We now know that there are 15 true/false questions and 5 multiple choice questions on the test!

Answer:

C

Step-by-step explanation:

\(\dfrac12^3=\dfrac12 \times\dfrac12 \times\dfrac12\)

Answer:

C 1/2 x 1/2 x 1/2

Step-by-step explanation:

(1/2)³ = 1/2 x 1/2 x 1/2

Hope it helps.

Answer:

Measuring it with a ruler and jotting down the length.

Step-by-step explanation:

If you are copying a line segment, the best way to copy it perfectly is to take the measure of the original line segment and copy down the measurement and then construct the other line segment to the exact measure.

Answer:

Brianlliest!

Step-by-step explanation:

you must measure the current line segment and copy it with the same length and make a new one

Answer:

The opposite of 1 is -1

The opposite of -4 is 4

The opposite of 7 is -7

The opposite of -2.5 is 2.5

The opposite of 101 is -101

The opposite of 2 is -2

Answer:

4 different spots

Step-by-step explanation:

12 - 4 spaces in between = 8 spaces

8 spaces / 4 cars = 4 spots

4 spots and 4 cars = 4 different spots for each car

16

Answer:

Step-by-step explanation:

Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and  

            6,which is 12.

            3*3/4*3=9/12

             5*2/6*2=10/12

Step 2:Subtract 9/12 from 10/12,which is 1/12.

Answer:

21) zero

22) 4/3

23) -3

24) -3/2

25)  4/6 or 2/3

26) 4/5

Step-by-step explanation:

The true statement that models the rate of change of this linear function is A. The cost increases by $1.50 for each additional toothbrush made.

The rate of change refers to the ratio between a change in one variable as compared to a corresponding change in another variable.

The rate of change is also described as the slope or gradient in a line graph.

The rate of change is the same as the unit rate, especially in this situation, just like the variable cost per unit.

In this instance, the rate of change can be computed as the quotient of the total cost divided by the total quantity produced.

Number of Toothbrushes    3          6             9         12

Cost (dollars)                 $4.50   $9.00   $13.50    $18.00

Unit rate                         $1.50    $1.50     $1.50      $1.50 ($18.00/12)

Thus, Option A is the true statement that describes the rate of change or unit rate at this factory.

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COST OF TOOTHBRUSHES

Number of Toothbrushes    3          6             9         12

Cost (dollars)                 $4.50   $9.00   $13.50    $18.00

Answer:

A.

Step-by-step explanation:

Let's think of this as a clock.  We can see that the 2 lines start in the same place, around 3 o'clock.  Next, one of the line segments shifts down to around 6 o'clock.  Next, it shifts to about 9 o'clock.  Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.

We can also just use a regular circle, with one of the line segments moving 90 degrees each time.

Hope this helps! :)

Answer:

$44.40

Step-by-step explanation:

100%-70%=30%

30/100x148=44.40 (discounted price)

Appreciate to be marked brainliest. Hope this helps!

Answer:

Step-by-step explanation:

You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).

The problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.

The numbers in the translation vector are added to the coordinates:

  (x, y) ⇒ (x+2, y+0)

Reflection over the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

Then the composition of transformations is ...

  (x, y) ⇒ (-(x+2), y)

  Q(1, 5) ⇒ Q'(-3, 5)

  R(3, -1) ⇒ R'(-5, -1)

  S(0, 0) ⇒ S'(-2, 0)

  T(-2, 3) ⇒ T'(0, 3)

Student A rewrote the expression correctly. When the factor is multiplied by the quotient, it yields the dividend.

Student B did not rewrite the expression correctly. When the factor is multiplied by the quotient, it does not yield the dividend.

Student C rewrote the expression correctly. When the factor is multiplied by the quotient, it yields the dividend.

The expression when it is rewritten is 4x²(9x + 4x³)

The factor of a number is a number that perfectly divides a number. A common factor is a factor that two or more numbers share. An example of a common factor of 10 and 20 is 10.

In order to determine if the students rewrote the expressions correctly, use the distributive property to determine if it would yield the initial expression. If it does, the students are correct.

Student A = 4x³(9 + 4x²) = 36x³ + 16\(x^{5}\)

Student B = 3x²(12x + 2x³) = 36x³ + 6\(x^{5}\)

Student C = 2x(18x² + 8\(x^{4}\)) = 36x³ + 16\(x^{5}\)

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The fraction that represents the addition model of part A is 5/10, and for part B is 3/100.

Parts of a whole are defined as fractions. The top and bottom numbers of a fraction are explained in the fundamentals of fractions. The number at the top represents the number of selected pieces of a whole, while the number at the bottom reflects the entire number of components.

According to the given information:

Based on the information provided, a grid A with 10 equal columns is depicted, with 5 shaded in. This will be expressed as a score of 5/10.

A second grid B, same in size, with 100 squares shaded in is also presented. This will be expressed as 3/100.

In this situation, Emma's response is erroneous because he added 5 to 3 and received an 8/100.

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The study can provide relative frequency table 2 (starting from the top)

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. The word per cent means per 100. It is denoted by the symbol “%”.

The total percentage of two or more ratios in a thesame entity is 100. For example, In a population, 28% has HBP (high blood pressure)

This means that number of those that do not have HBP will be 100 - 28 = 72%

86% of those who did not have HBP exercise at least 90 minute per week i.e

86% of no HBP ,exercise >or = 90 = (86/100) × 72 = 62%( nearest whole number)

Those that do exercise <90 minute per week = 72-62= 10%

32% of those with HBP exercise at least 90 minute( >or = 90 minutes) =( 32\100) × 28= 9%( nearest whole number)

Those with HBP and exercise <90= 28- 9= 19%

Therefore Table 2 starting from the top clearly shows this data.

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The average rate of change of the function over the interval is 1

From the question, we have the following parameters that can be used in our computation:

f(x) = x

The interval is given as

From x = 4 to x = 9

The function is a linear function

This means that it has a constant average rate of change

So, we have

f(4) = 4

f(9) = 9

Next, we have

Rate = (9 - 4)/(9 - 4)

Evaluate

Rate = 1

Hence, the rate is 12

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Answer:

x = 15

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides, that is

\(\frac{x}{21-x}\) = \(\frac{25}{10}\) ( cross- multiply )

10x = 25(21 - x)

10x = 525 - 25x ( add 25x to both sides )

35x = 525 ( divide both sides by 35 )

x = 15

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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The distance Ben travels to get to the park is approximately 2.21 times greater than the distance David travels. This is found by using the distance formula to calculate the distances each person travels and then comparing the results.

To solve this problem, we need to find the distance between each person's house and the park using the distance formula

distance = √((x₂ - x₁)² + (y₂ - y₁)²)

For Ben

distance = √((-2 - 4)² + (-2 - 6)²) = √((-6)² + (-8)²) = √(100) = 10

For David

distance = √((-2 - (-7))² + (-2 - (-6))²) = √((5)² + (4)²) = √(41)

So the ratio of Ben's distance to David's distance is

10 / √(41) ≈ 2.21

Therefore, Ben's distance is about 2.21 times greater than David's distance.

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Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

Explanation

we can fill up the dimensions as follow

Answer:

a trigong i think

Step-by-step explanation: