What is the value of x?

Answer:

y=9x (O 1)

Step-by-step explanation:

9 times the number of gifts he bought which lets say is x will equal your answer (y).

Total number of free throws made for player 2 are 23 using histogram.

A histogram is a graphical depiction of continuous or discrete data. In a histogram, the frequency is represented by the area of a bar. Frequency density, which is proportional to frequency, is plotted on the y-axis, and intervals representing the range of values are plotted on the x-axis. One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data. It is frequently used to conveniently depict the main characteristics of the data distribution. A histogram is a graph in which the horizontal axis represents the values of the observations, and the vertical axis represents the density of those observations.

Given,

Histogram given,

Total number of free throws made for player 2 are:

8 + 9 + 6

23

Total number of free throws made for player 2 are 23 using histogram.

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The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.

Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.

f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)

= 1 - 5√(9 - x) / √(9 - x)

= 1 - 5 / √(9 - x).

To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.

Setting f'(x) = 0:

1 - 5 / √(9 - x) = 0

5 / √(9 - x) = 1

(√(9 - x))^2 = 5^2

9 - x = 25

x = 9 - 25

x = -16.

The critical point is x = -16.

We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.

Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).

For x < -16:

Plugging in a test value, let's say x = -17, into the derivative:

f'(-17) = 1 - 5 / √(9 - (-17))

= 1 - 5 / √(9 + 17)

= 1 - 5 / √26

≈ 1 - 0.97

≈ 0.03.

Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).

For -16 < x < 9:

Plugging in a test value, let's say x = 0, into the derivative:

f'(0) = 1 - 5 / √(9 - 0)

= 1 - 5 / √9

= 1 - 5 / 3

≈ 1 - 1.67

≈ -0.67.

Since f'(0) is negative, the function is decreasing in the interval (-16, 9).

For x > 9:

Plugging in a test value, let's say x = 10, into the derivative:

f'(10) = 1 - 5 / √(9 - 10)

= 1 - 5 / √(-1)

= 1 - 5i,

where i is the imaginary unit.

Since the derivative is not a real number for x > 9, we cannot determine the sign.

Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

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The Emily soccer team has the higher ratio of wins to losses.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of win to loss of Emily soccer team = 9 : 12

Ratio of win to loss of Grant soccer team = 10 : 15

9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60

10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60

If 60 games are losses, then 45 games are wins for Emily soccer team.

If 60 games are losses, then 40 games are wins for Grant soccer team.

Higher ratio is for Emily soccer team.

Hence higher ratio of wins to losses is for Emily soccer team.  

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Answer:

A

Step-by-step explanation:

please say thank you and rate 5 stars and verify

Answer:

A = $2,779.16

Step-by-step explanation:

A = $2,779.16

A = P + I where

P (principal) = $1,778.00

I (interest) = $1,001.16

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 1,778.00(1 + 0.03/2)^(2)(15)

A = 1,778.00(1 + 0.015)^(30)

A = $2,779.16

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $1,778.00 at a rate of 3% per year compounded 2 times per year over 15 years is $2,779.16.

Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.

The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.

Here,

We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:

=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon

Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.

Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:

=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.

As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.

Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.

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The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{-13}x+8\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -13 \implies \cfrac{-13}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-13}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-13} \implies \cfrac{1}{ 13 }}}\)

so we're really looking for the equation of a line whose slope is 1/13 and it passes through (3 , 8)

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{13} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ \cfrac{1}{13}}(x-\stackrel{x_1}{3}) \\\\\\ y-8=\cfrac{1}{13}x-\cfrac{3}{13}\implies y=\cfrac{1}{13}x-\cfrac{3}{13}+8\implies {\Large \begin{array}{llll} y=\cfrac{1}{13}x+\cfrac{101}{13} \end{array}}\)

Answer:

D. The coefficients are the same, and the constants are different

Step-by-step explanation:

This means that because we have the same coefficient (2/3), if we wanted the same equation, the constants (x +/- #) would have to be the same, and since they are not in this instance, that makes the equation false, and therefore has no solution

An initial investment of $5,951.71 is needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly.

To determine the amount of money needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly, we need to use the formula for compound interest.

The formula is A = P(1+r/n)^(nt), where A is the final amount, P is the initial investment, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

Using the given information, we can plug in the values and solve for P. A = $7,000, r = 0.025, n = 4, and t = 4.

A = P(1+r/n)^(nt)

A = P(1+0.025)^4
$7,000 = P(1+0.025/4)^(4*4)
$7,000 = P(1.00625)^16
P = $5,951.71
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Reasons

Answer:

8

Step-by-step explanation:

f(x) = 2x + 8

x=0

f(0) = 2(0) + 8

f(0)=0+8

f(x)=8

Answer:

8

Step-by-step explanation:

f(x)=2x+8

x=0

f(0)=2(0)+8

f(0)=0+8

F(0)=8

The magnitude of the vector sum (A + B) is approximately 4.974.

To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.

Given:

Vector A: (5.1, 0)

Vector B: (-2.6, -4.3)

To find the vector sum (A + B), we add the corresponding components:

(A + B) = (5.1 + (-2.6), 0 + (-4.3))

= (2.5, -4.3)

Now, let's calculate the magnitude of the vector (2.5, -4.3):

Magnitude = sqrt((2.5)^2 + (-4.3)^2)

= sqrt(6.25 + 18.49)

= sqrt(24.74)

≈ 4.974

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Answer: y(x) = (2/3)*(x + 1)^(3/2) + 1/3.

Step-by-step explanation:

We have the differential equation:

2*y'(x)*y''(x) = 1.

y(0) = 2

y'(0) = 1.

I will use the change:

u = y'

u'= y''

Then we must solve:

2*u*u' = 1.

The product does not depend on x:

u*u' = 1/2.

By looking at the problem, i know that the functions must be something like:

u = a*(x + b)^n

Where a and b are real numbers.

u' = n*a*(x + b)^(n - 1)

such that:

(x + b)^n*(x + b)^(n - 1) does not depend on x

This means that:

(x + b)^n*(x + b)^(n - 1)  = (x + b)^(n + n - 1) = 0

n + n - 1 = 0

2n = 1

n = 1/2

Then:

u = a*(x + b)^(1/2)

u' = (a/2)*(x + b)^(-1/2)

The differential equation becomes:

u*u' = 1/2

a*(x + b)^(1/2)* (a/2)*(x + b)^(-1/2) = 1/2

(1/2)*a^2 = 1/2

a^2 = 1.

And by the initial conditions, we have:

y'(0) = u(0) = 1

then:

u(0) = a*(0 + b)^(1/2) = a*b^(1/2) = 1

now, if a = -1, then b^(1/2) must be negative, this can not really be then we must have:

a = 1

u(0) = 1*b^(1/2) = 1

then b = 1.

u(x) = (x + 1)^(1/2).

And remember that y'(x) = u(x).

Then we need to integrate u(x) over x.

let's use the change of variables:

w = x +  1

dw = dx

Then the integration of u(x) is:

y(w) = ∫(w)^(1/2)dw = (2/3)*w^(3/2) + c

where c is a constant of integration.

now we can go back to x:

y(x) = (2/3)*(x + 1)^(3/2) + c

And we know that:

y(0) = 1 = (2/3)*(0 + 1)^(3/2) + c

         1 = (2/3)*1 + c

1 - 2/3 = c

     1/3 = c

Then:

y(x) = (2/3)*(x + 1)^(3/2) + 1/3.

The rocket's maximum height is 800 feet. It reached its maximum height at 5 seconds after launch.

To solve this problem, we need to find the vertex of the parabola represented by the equation Y= -16t^2+160t. The vertex of a parabola is the point where the parabola changes direction, from increasing to decreasing or vice versa.

The vertex of the parabola is given by the following formula:

(-b/2a, c - b^2/4a)

In this case, the value of b is 160 and the value of a is -16. Plugging these values into the formula, we get the following:

(-160/2(-16), 800 - 160^2/4(-16))

(5, 800)

Therefore, the rocket reached its maximum height at 5 seconds after launch. The maximum height is 800 feet.

Answer:

Step-by-step explanation:

divide length by 100

Answer:

Okay so, first put a dot on the number three. Next, go down one and over two from that spot (2, 2) and so on.

Step-by-step explanation:

Answer and step-by-step explanation:

Here, we are given a linear equation, meaning that the graph is going to be a straight line. Firstly, we must identify the slope and the y-intercept of the line.

y = -1/2x + 3

The -1/2x is our slope, and the 3 is our y-intercept. So, let's plot the coordinate (0, 3) because that is the y-intercept. Lastly, we must find how steep the line is, and what direction it goes to. As you can see, it is negative, so that means that the slope will go from the top left to the bottom right. And, the slope is -1/2, which means that for every time you go to right two, you will also go down one. Hope this helps!

The value of 57.17 as a mixed number is - 57 17/100.

A mixed number is said to be in its simplest form if its fractional part's highest common factor, or HCF, is 1. When mixed numbers are simplified, the fraction value remains constant. We can say that the simplified mixed number and the actual mixed number are fractions that are equivalent.

A mixed number is made up of three components: a whole number, a numerator, and a denominator. The numerator and denominator are both components of the proper fraction that results in the mixed number.

In this case, -57.17 will be:

= -57 + (17/100)

= -57 17/100.

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Answer:6000 meters

Step-by-step explanation:

10 x 60=600

600 x 10=6000

Answer:

Step-by-step explanation:

if they are saying  approximately  then y = 3 for the y intercept, and

the slope,  m ,   is   3/4    ( rise / run)

then the equation for this line is

y =  \(\frac{3}{4}\) * x + 3

y = 3x/4 + 3

Using relations in a right triangle, it is found that the sine of 23 degrees is given by:

D. 5/13.

The relations in a right triangle are given as follows:

Looking at the graph, the side opposite to the angle of 23º is of 5, while the hypotenuse is of 13, hence the sine is given by:

sin(23º) = 5/13.

Which means that option D is correct.

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Answer:

A=   \(\quad x-\frac{12}{x+7}\)

B=  \(\frac{x}{x+7}\)

C= \(\:\left(-\infty \:,\:-7\right)\cup \left(-7,\:\infty \:\right)\)

Step-by-step explanation:

Answer:

\(tan(30) = \frac{A}{B}\)

Step-by-step explanation:

Given

The attached triangle

Required

Find tan(30)

Let the side opposite 30 degrees be A and the side adjacent 30 degrees be B

So [using tangent identity]:

\(tan(\theta) = \frac{Opposite}{Adjacent}\)

This gives:

\(tan(30) = \frac{A}{B}\)

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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It transform rectangle in  8 units left and then 7 units down then  x-axis and subsequently the y-axis were reflected and after this translated 7 units down

A set of translations, rotations, reflections, and dilations on a figure constitute a series of transformations in geometry. A composition of transformations is what results when two or more transformations are joined to create a new transformation. In a composition, one transformation creates a picture that serves as the foundation for the subsequent other transformation.

The possible transformations that rectangle ABCD could have undergone to become rectangle A′′B′′C′′D′′ are as follows: -

It was translated 8 units left, then 7 units down, for rectangle ABCD.

- First, the x-axis and subsequently the y-axis were reflected by the rectangle ABCD.

- Rectangle ABCD was translated 7 units down after being rotated 180 degrees around its origin.

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