Can someone help with this question?✨

Can Someone Help With This Question?

Answers

Answer 1

X = 13 is length of  Hypotenuse by use of  Pythagoras's Theorem.

What is the Pythagorean theorem ?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

In this triangle use  Pythagoras theorem

 Let Hypotenuse is x .

     x²  = 12² + 5²

     x²  = 144 + 25

     x = √169  

      x = 13

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Related Questions

Two books, A and B, are sold in three stores, X, Y and Z. The number of copies of book A sold in a month is 40, 20, and 60 from stores X, Y, and Z, respectively. The number of copies of book B sold is 10, 70, and 20 from X, Y, and Z, respectively. The profit from the sales of book A is $4, and the profit from the sales of book B is $1 for all the three stores. Which matrix represents the profit from the sales of book A for each store?

Answers

The matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.

The matrix representing the profit from the sales of book A for each store is as follows:

Store Book A

X $4

Y $4

Z $4

Therefore, the matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).

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If APR on credit card is 17.8% what is the daily percentage rate (DPR)?

Answers

The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.

Given the Annual Percentage Rate (APR) on credit card is 17.8%.

Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.

To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).

So, given APR = 17.8%

Now, daily percentage rate will be:

⇒ Daily percentage rate = Annual Percentage Rate ÷ 365

DPR = APR / 365

⇒ DPR = 17.8% ÷ 365

⇒ DPR = 0.048%

Therefore, daily percentage rate (DPR) is equal to 0.048%.

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The points on the graph represent both an exponential function and a linear function.
Complete this table by reading the values from the graph. Estimate any function values that are less than one.
x -3 -2 -1 0 1 2 3
Exponential function _____ _____ _____ _____ _____ _____ _____
Linear function _____ _____ _____ _____ _____ _____ _____
At approximately what values of x do both the linear and exponential functions have the same value for y?

Answers

We are given two curves on a graph paper and we have to find the y values for the given x.

From the graph we can check for a value of x, what is the value of y from the curve.

x     -3     -2     -1    0      1         2        3

Exp  8      4      2    1      0.5  0.25  0.125

Lin.   7.5   6    4.5   3      1.5     0     -1.5

We find that the two have the same values where the two curves intersect.

From the graph we find that near to -3 and near to 2 both have the same values.

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The missing graph is attached below.

The points on the graph represent both an exponential function and a linear function. Complete this table

A manufacturer has 576 square inches of material available to construct the 6 faces of a carton, which will be in the shape of a rectangular prism. To maximize the volume, the carton will have dimensions such that the length and width are each twice the height.

Answers

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

What is the dimension required to maximize the volume of the box?

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Determine the value of y, if x is – 1.
y = |x| – 4

Answers

Answer:

y = -3

Step-by-step explanation:

y = |x| - 4

y = |-1| - 4

y = 1 - 4

y = -3

The velocity of a particle moving back and forth on a line is vequalsStartFraction ds Over dt EndFraction equals6 sine (2 t )StartFraction m Over sec EndFraction for all t. If sequals0 when tequals​0, find the value of s when tequalsStartFraction pi Over 2 EndFraction sec.

Answers

Answer:

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

\(v = \frac{ds}{dt} = 6 sin(2t)\) m/s

To find s, we have to integrate and apply the initial values of s = o when t = 0:

\(\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3\)

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

s = 3 + 3

s = 6 m

1.
The distribution of prices for a certain car model is approximately normal with mean $21,800 and standard
deviation $400. A random sample of 4 cars of the model will be selected.
What is the correct unit of measure for the mean of the sampling distribution of I?
A Dollars
B) Models
Cars
D) Samples
There are no units associated with the mean of the sampling distribution.

Answers

Answer: A, Dollars is the correct answer

The required unit of the measure of the mean is given as in Dollars. Option A is correct.

Given that,
The distribution of prices for a certain car model is approximately normal with a mean of $21,800 and a standard deviation of $400. A random sample of 4 cars of the model will be selected.
The correct unit of measure for the mean of the sampling distribution of the price of the car is to be determined,

What is mean?

The mean of the values is the ratio of the total sum of values to the number of values.

here,
Since the given data is of price in dollars so the measure of the mean will also be taken in Dollars because the mean is defined as the sum of all the values in a particular unit divided by the total number of different quantities.

Thus, the required unit of the measure of the mean is given as in Dollars. Option A is correct.

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Find two consecutive whole numbers that 141 lies between

Answers

Answer:

140 and 142?

Step-by-step explanation:

write an equation to represent the following statement 29 is 6 more than K solve for K

K =

Answers

Answer:

23

Step-by-step explanation:

29 is 6 more than K

Let's create an equation

\(29 = 6 + k\)

Move variable to L.H.S and change its sign

Similarly, move constant to R.H.S and change its sign

\( - k = 6 - 29\)

Calculate

\( - k = - 23\)

Change the sign on both sides of the equation

\(k = 23\)

Hope this helps..

Best regards!!

The equation for the statement 29 is 6 more than K is solved and K = 23

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists  mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by the statement below

29 is 6 more than K

On simplifying , we get

29 = 6 + K

Subtracting 6 on both sides , we get

K = 29 - 6

K = 23

Therefore , the value of K is 23

Hence , the equation is K = 23

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Louis and Ricardo took a timed a reading test, and the results below show the number of words each student can read per minute which student reads at a faster rate ?

Answers

Answer:

Louis reads faster

Step-by-step explanation:

See attachment for complete question.

The table represents Louis data while the graph represents Ricardo's data.

To solve this question, we simply calculate the slope of the table/graph,

The slope (m) is calculated by:

\(m=\frac{y_2 - y_1}{x_2 - x_1}\)

For Louis:

From the table, we pick any corresponding x and y values

\((x_1,y_1) = (2,436)\)

\((x_2,y_2) = (6,1308)\)

\(m_1 = \frac{1308 - 436}{6-2}\)

\(m_1 = \frac{872}{4}\)

\(m_1 = 218\)

For Ricardo:

From the graph, we pick any corresponding x and y values

\((x_1,y_1) = (2,300)\)

\((x_2,y_2) = (6,900)\)

\(m_2 = \frac{900- 300}{6-2}\)

\(m_2 = \frac{600}{4}\)

\(m_2 = 150\)

So, we have:

Louis: \(m_1 = 218\)

Which means 218 words per minutes

Ricardo: \(m_2 = 150\)

Which means 150 words per minutes

Louis and Ricardo took a timed a reading test, and the results below show the number of words each student

Does x = 5 satisfy the equation 17x = 85?a. yesb. no

Answers

To determine if a number does satisfy an equation, we need to substitute it and perform the needed calculation.

By substituting and performing the calculation in the present question, we have:

\(\begin{gathered} 17\times x=85 \\ \\ 17\times5=85 \\ \\ 85=85 \end{gathered}\)

Because we found the equation becomes a true statement when substituting x = 5, it means that: YES, X = 5 DOES SATISFY THE GIVEN EQUATION!

there are 15 squares and nine circles what is the simplest ratio of circles to total shapes?

Answers

Answer:

3 to 8

Step-by-step explanation:

There are 24 total shapes, 9 of which are circles. So we have the ratio 9 to 24, or 3 to 8.

24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70​

Answers

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

B. P37.70

What is the slope of the line that passes through the points (- 6, 13) and (8, - 29)?0 -30 30

What is the slope of the line that passes through the points (- 6, 13) and (8, - 29)?0 -30 30

Answers

The slope of a line is given by the following expression:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Where m is the slope, (x1,y1) and (x2,y2) are two known points on the line. In this case we have the points (-6, 13) and (8,-29), if we apply them to the expression above and we will be able to find the slope.

\(m=\frac{-29-13}{8-(-6)}=\frac{-42}{8+6}=\frac{-42}{14}=-3\)

The slope of the line is equal to -3.

Please help what is the slope of the line?

Please help what is the slope of the line?

Answers

Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

Slope = (y2 - y1)/(x2 - x1)

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.

Pls help with this question pictured below.

Pls help with this question pictured below.

Answers

The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

How to obtain the implicit derivative?

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

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Tanner is 2 years younger than his brother. Tanners age t in years is 2 years less than his brothers age b

Answers

Answer:is his brother 4 or 8

Step-by-step explanation:

I don't know for sure

ANSWER -

The relationship between Tanner's age and his brother's age can be represented by the equation:

t = b - 2

This equation states that Tanner's age (t) is equal to his brother's age (b) minus 2 years.

What’s the square root of √125

Answers

Answer: \(5\sqrt 5\)

Step-by-step explanation:

Sol \(\sqrt 125\) = \(\sqrt{25.5}\)

= \(\sqrt{25}\)  x  \(\sqrt{5}\)

\(5 \sqrt{5}\)

Need help quick please

Need help quick please

Answers

Answer:-1/6

Step-by-step explanation:

Draw a line out in the 2nd quadrant.

Your y=\(\sqrt{35}\)    hypotenuse=6  use pythagorean theorem to solve for x

6² = 35 + x²

x=1

so

cosΘ = -1/6

Algebra Question
Let v = (-7,6,-6) and w = (-5,-3,-6) be vectors in R^3. Find the orthogonal projection of v onto w.
Answer:
Projection on w: (-54/14, -159/70, -159/35)

I have the correct answer but I don't know how they got it.

Answers

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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Based on a study, a theme park has reported that typical patrons were willing to pay
$64 for admission to the park. In the study, the theme park conducted a survey to
determine how much patrons were willing to pay for admission to the park. The park
asked 10 groups of 100 randomly selected patrons to choose a price from a list of
options. The price chosen most frequently by each group is shown in the table.

Answers

Answer:

A and D

Step-by-step explanation:

You've decided you want a plant for your room.
At the gardening store, there are 4 different kinds of plants
(tulip, fern, cactus, and ficus)
and 4 different kinds of pots to hold the plants
(clay pot, plastic pot, metal pot, and wood pot)

If you randomly pick the plant and the pot, what is the probability that you'll end up with a tulip in a plastic pot?

Answers

The probability that you would end up with a tulip in a plastic pot would be = 1/4.

What is probability?

Probability is defined as the possibility of an event or an outcome taking place.

The kinds of plants at the gardening store are tulip, fern, cactus, and ficus which are four in number.

The different kinds of pot to hold the plants are clay pot, plastic pot, metal pot, and wood pot, which is equally a total number of 4.

The probability of picking a tulip plant in a plastic pot would be 1/4.

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Calista was told that she had an average grade of an 82, but not told what she got on her 6th assignment. Calista knows that she got a 62, 88, 92, 74 and 78 on the other 5 assignments.
What was Calista's grade on her last assignment?

Answers

Calista's grade on her last assignment is 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

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help here's a pic on the problem

help here's a pic on the problem

Answers

The linear function that shows the proportional relationship between the distance and time is d = 100t

Linear Function

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,

'm' is the slope of the line'b' is the y-intercept of the line'x' is the independent variable'y' (or f(x)) is the dependent variable

From the table given, we can find the slope of the function by using the formula

m = y₂ - y₁ / x₂ - x₁

m = 300 - 200 / 3 - 2

m = 100

To find the y - intercept,

y = mx + c

300 = 100(3) + c

300 = 300 + c

c = 300 - 300

c = 0

The equation that shows the relationship is

d = 100t

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PLEASE HELP ME ASAP!!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!

PLEASE HELP ME ASAP!!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!

Answers

Answer:

4.2

Step-by-step explanation:

closest to what I counted 3

Since my uncles farmyeard apperas to be overrun with gos and chickens i asked him hom many of each did he have he responded that his dog and chicked had a total of 148 legs and 60 heads. hime mmay of each does he have

Answers

There are 14 dogs and 46 chickens in the farmyard.

The supposition that there are d dogs and c chickens.

Each chicken has two legs, but each dog has four.

Consequently, the total number of legs may be written as follows:

4d + 2c

Since we are aware that there are 148 legs in total, we can construct the following equation:

4d + 2c = 148

We may create another equation since we know that there are a total of 60 heads (dogs and chickens):

d + c = 60

Now that we have two equations with two variables, we may answer them both at the same time.

2d + 2c = 120 is the result of multiplying the second equation by two.

When we deduct this from the first equation, we obtain 2d = 28.

So, d = 14.

Reintroducing this into the second equation, we get:

14 + c = 60

So, c = 46.

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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answers

The three (3) statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

What is the equation of a circle?

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   ....equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

From the information provided above, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

Comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x – 0)² + (y - 0)² = 3²

x² + y² = 9.

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slope intercept form for (3,3) and (2,4)with work please I'm trying understand how to do it on my own

Answers

P1 = (3,3)

P2 = (2, 4)

x1 = 3 y1 = 3 x2 = 2 y2 = 4

1.- Find the slope

2.- Find the equation of the line

y - y1 = m(x - x1)

Substitution

y - 3 = -1(x - 3)

Simplification

y - 3 = -x + 3

y = -x + 3 + 3

Result

y = -x + 6

The equatin of the line is y = -x + 6

slope intercept form for (3,3) and (2,4)with work please I'm trying understand how to do it on my own

Can someone help me please another graph

Can someone help me please another graph

Answers

Step-by-step explanation:

the function

Kendal(x) = y = 90

is just a flat line (that's why people call it a flat rate). it does not matter how many hours it takes, it costs the same.

the function

Mona(x) = 10x + 70

as we know, $10 per hour, plus $70 for the material, which is the same cost no matter how many hours it takes.

the solution, when both cost the same, means again both functions are equal at that point :

90 = 10x + 70

20 = 10x

x = 20/10 = 2 hours

after 2 hours both cost the same : $90.

the graphic should look like the attached picture.

the flat line is at y = 90. that means it is a horizontal line that goes through the y gridline marker 90.

just draw the line along the y 90 gridline from left to right.

Mona's graph goes through the solution point (2, 90) and the point for x = 0 : (0, 70) because y = 10×0 + 70 = 70.

for (0, 70) you go from 0 the y-axis straight up to the gridline marker 70 and mark the point there.

for (2, 90) you go on the x-axis from 0 to the right to the gridline marker 2. from there you go straight up to the y gridline 90. and you mark the point there.

and both lines intersect at (2, 90), which is the solution.

can you see and understand it now how that works ?

Can someone help me please another graph

The cost is $90

What is graphing?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

The function for Kendal(x) is:- y = 90

The function for Mona(x) :- 10x + 70

$10 per hour, plus $70 for the material

The solution, when both cost the same, means again both functions are equal at that point :

90 = 10x + 70

20 = 10x

x = 20/10 = 2 hours

after 2 hours both cost the same : $90.

Graph the lines both lines intersect at (2, 90), which is the solution.

Hence, the cost is $90

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Can someone help me please another graph

100 POINTS PLEASE HELP FAST

Select the correct answer.
The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was half of its initial weight. After two hours, the weight of the isotope was half of its weight the previous hour. If this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time?

100 POINTS PLEASE HELP FAST Select the correct answer.The weight of a radioactive isotope was 96 grams

Answers

The top left graph represents the weight of the radioactive isotope over time.

How to define an exponential function?

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

a is the value of y when x = 0.b is the rate of change.

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

More can be learned about exponential functions at brainly.com/question/2456547

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

(0, 96), (1, 48), (2, 24), (3, 12), (4, 6), (5, 3)

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

100 POINTS PLEASE HELP FAST Select the correct answer.The weight of a radioactive isotope was 96 grams
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