I don’t really know how to solve for this (my teacher is absent and she left that worksheet for us to do on our own)

The smallest number by which to divide 6075 to make it a perfect square is 3

From the question, we are to determine the smallest number by which to divide the given number to make is a perfect square

The given number is 6075

A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer. That is, a number that can expressed as n², where n is an integer.

The given number cannot be divided by 2 without given a remainder.

Divide the given number by 3

6075 / 3 = 2025

NOTE:

2025 = 45 × 45 = 45²

Thus, 2025  is a perfect square

Hence, the smallest number by which to divide 6075 to make it a perfect square is 3

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120 different programs can be arranged.

What is permutation?

A permutation is a specific arrangement of objects. Set members or elements are arranged in a sequence or linear order here.

Since we are dealing with arrangements, this is a permutation problem.

Given: In the first question we have the choice of 5 acts to appear first, 4 acts to appear second, 3 acts to appear third, and so on.

So, you get 5! = 5 * 4 * 3 * 2 * 1

⇒ 120 different programs.

In the second question we have 3 choices for the first act (bands), 2 choices for the second act (comics), 2 choices for the third act (bands), 1 choice for the fourth act (comic), and 1 choice for the fifth act (band).

So, you get 3 * 2 * 2 * 1 * 1

⇒ 12 different programs.

Hence, 120 different programs can be arranged if the comics must perform between bands.

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Step-by-step explanation:

how many ways can the coach make out the batting order? 9! = 9 · 8 · 7 · 6 · 5 ·4 · 3 · 2 · 1 = 362,880 .

Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

Using thie model ,The answer is D. 27.

To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.

Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.

We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:

9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27

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Step-by-step explanation:

1.Given .

2.Being vertically opposite angle.

3.Because sum of all interior angle of a triangle is always 180°.

4.From the statement of 3 number.

5.Because angle 4 = angle 3 and angle 6= angle 1 .

6.(suppose ,< is angle sign) solving this equation,

m<1 + m<2+ m<3 = m<3 + m<5 + m<1

Answer:

x= -25/3 Decimal form: -8.3

The image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

In the given question,

We have to find the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin.

Since we have to find the image after a dilation.

So we learn about it now,

Any scale factor will dilate the image of any coordinate. A specific scale factor can be used to scale the coordinate up or down. To determine the answer, consider the scale factor in the equation and multiply or divide the coordinates of dilation by the appropriate scale factor.

So the given point is (-9,12).

Scale factor is 1/3.

So the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is define as

=(-9×1/3,12×1/3)

Simplifying

=(-3,4)

Hence, the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

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Answer:

24'

Step-by-step explanation:

the slop aims for the angle in which the 78 can go in: hope this helps!!

The measure of the side MN is 19.1.

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The different trigonometric identities are expressed as:

From the information given, we have that:

Using the tangent identity:

\(\text{tan} \ \theta = \dfrac{\text{opposite}}{\text{adjacent}}\)

Substitute the values

\(\text{tan}(60) =\dfrac{\text{MN}}{11}\)

Cross multiply the values, we have:

\(\text{MN} = \sf 1.73(11)\)

\(\text{MN} = 19. 05 \thickapprox\bold{\underline{19.1 \ ft}}\)

Hence, the measure of the side MN is 19.1.

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Answer:

0.75 U.S. dollars

Step-by-step explanation:

If you're talking U.S dollar. It's 0.75 cents.

This doesn't seem like college work.

Each silver bead costs $0.50, and each green bead costs $1.

Let's assume the cost of each silver bead is 's' dollars, and the cost of each green bead is 'g' dollars.

According to the given information, the necklace requires 25 silver beads and 15 green beads, and the bracelet requires 10 silver beads and 5 green beads.

The total cost of the necklace beads is $27.50, and the total cost of the bracelet beads is $10.

Using this information, we can set up the following system of equations:

25s + 15g = 27.50 (Equation 1)

10s + 5g = 10 (Equation 2)

We can solve this system of equations using any appropriate method, such as substitution or elimination.

Let's use the elimination method to solve the system:

Multiplying Equation 2 by 3, we get:

30s + 15g = 30 (Equation 3)

Subtracting Equation 3 from Equation 1:

25s + 15g - (30s + 15g) = 27.50 - 30

-5s = -2.50

s = 0.50

Now, substituting the value of s into Equation 2:

10(0.50) + 5g = 10

5 + 5g = 10

5g = 5

g = 1

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Answer:

The answer is 64°

Step-by-step explanation:

opposite angles are equal

x=64°

Answer:

X is 64 degrees.

Step-by-step explanation:

X is directly across from 64 degrees. These angles are equal. So are angle y and 18, and angle z and the blank angle at the bottom.

Answer:

THE ANSWER IS D

Step-by-step explanation:

D is correct. Subtract 3 from both sides, then divide by -2, and remember to reverse the inequality.

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Answer:

The answer is 120

Step-by-step explanation:

9514 1404 393

Answer:

  y = -(x -3)^2 +2

Step-by-step explanation:

The vertex form of the equation for a parabola is ...

  y = a(x -h)^2 +k

where the vertex is (h, k) and the value 'a' is a vertical scale factor.

The value of 'a' can be found by looking at the y-value of points ±1 either side of the vertex relative to the vertex. Here, the vertex y-value is +2 at x=3, and either side goes down 1 unit (to y=1) for 1 unit to the right or left. So, a = -1.

Using the values we've read from the graph for the vertex (h, k) = (3, 2) and the scale factor a = -1, we can write the equation as ...

  y = -(x -3)^2 +2

Explanation

Step 1

let's find the equation of the line

a)slope

the slope of a line is given by:

so

pick up 2 points from the line

let

P1=(0,-4)

P2=(4,-3)

now, replace in the equation to find the slope

Step 2

b) the equation of the line, it can be found by using the poitn slope formula

then, let

P1=(0,-4)

slope=1/4

replace and isolate y

Step 3

finally, we need the shaded region, it means all the values over the line, in other words, the values greater than the function, so

therfore, the answer is

I hope this helps you

Answer:

19 is the answer.

You just want to find the total kinds of drinks the shop sells so just add up all the different kinds of drinks like so,

4+10+5=19

So the coffee shop sells 19 different types of drinks.

Please mark brainliest

Answer:

The value of the derivative at (0, 0) is zero.

Step-by-step explanation:

Given function:

\(f(x)=\dfrac{x^2}{x^2+4}\)

To differentiate the given function, use the quotient rule and the power rule of differentiation.

\(\boxed{\begin{minipage}{5.4 cm}\underline{Quotient Rule of Differentiation}\\\\If $y=\dfrac{u}{v}$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{v \dfrac{\text{d}u}{\text{d}x}-u\dfrac{\text{d}v}{\text{d}x}}{v^2}$\\\end{minipage}}\)

\(\boxed{\begin{minipage}{5.4 cm}\underline{Power Rule of Differentiation}\\\\If $y=x^n$, then $\dfrac{\text{d}y}{\text{d}x}=nx^{n-1}$\\\end{minipage}}\)

\(\boxed{\begin{minipage}{5.4cm}\underline{Differentiating a constant}\\\\If $y=a$, then $\dfrac{\text{d}y}{\text{d}x}=0$\\\end{minipage}}\)

\(\begin{aligned}\textsf{Let}\;u &= x^2& \implies \dfrac{\text{d}u}{\text{d}{x}} &=2 \cdot x^{(2-1)}=2x\\\\\textsf{Let}\;v &=x^2+4& \implies \dfrac{\text{d}v}{\text{d}{x}} &=2 \cdot x^{(2-1)}+0=2x\end{aligned}\)

Apply the quotient rule:

\(\implies f'(x)=\dfrac{v \dfrac{\text{d}u}{\text{d}x}-u\dfrac{\text{d}v}{\text{d}x}}{v^2}\)

\(\implies f'(x)=\dfrac{(x^2+4) \cdot 2x-x^2 \cdot 2x}{(x^2+4)^2}\)

\(\implies f'(x)=\dfrac{2x(x^2+4)-2x^3}{(x^2+4)^2}\)

\(\implies f'(x)=\dfrac{2x^3+8x-2x^3}{(x^2+4)^2}\)

\(\implies f'(x)=\dfrac{8x}{(x^2+4)^2}\)

An extremum is a point where a function has a maximum or minimum value. From inspection of the given graph, the minimum point of the function is (0, 0).

To determine the value of the derivative at the minimum point, substitute x = 0 into the differentiated function.

\(\begin{aligned}\implies f'(0)&=\dfrac{8(0)}{((0)^2+4)^2}\\\\&=\dfrac{0}{(0+4)^2}\\\\&=\dfrac{0}{(4)^2}\\\\&=\dfrac{0}{16}\\\\&=0 \end{aligned}\)

Therefore, the value of the derivative at (0, 0) is zero.

Answer:

3 x 13

Step-by-step explanation:

13+13=26

26+13=39

Answer:

this makes no sense but I think the answer is 38 inches

Step-by-step explanation:

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

\(z=\frac{(3.2-3.4)-0}{\sqrt{\frac{0.141^2}{60}+\frac{0.224^2}{60}}}}=-5.85\)  

The p value can be calculated with this probability:

\(p_v =2*P(z<-5.85)=4.91x10^{-9}\)  

The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different

Step-by-step explanation:

Information provided

\(\bar X_{1}=3.2\) represent the mean for sample A

\(\bar X_{2}=3.4\) represent the mean for sample B  

\(\sigma_{1}=\sqrt{0.02}= 0.141\) represent the sample standard deviation for A

\(s_{2}=\sqrt{0.05}= 0.224\) represent the sample standard deviation for B

\(n_{1}=60\) sample size for the group A

\(n_{2}=60\) sample size for the group B  

\(\alpha=0.05\) Significance level provided

z would represent the statistic

Hypothesis to test

We want to verify if that there is a difference in the interest rates paid by the two states, the system of hypothesis would be:  

Null hypothesis:\(\mu_{1}-\mu_{2}=0\)  

Alternative hypothesis:\(\mu_{1} - \mu_{2}\neq 0\)  

The statistic for this case since we know the population deviations is given by:

\(z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}\) (1)  

Replacing the info given we got:

\(z=\frac{(3.2-3.4)-0}{\sqrt{\frac{0.141^2}{60}+\frac{0.224^2}{60}}}}=-5.85\)  

The p value can be calculated with this probability:

\(p_v =2*P(z<-5.85)=4.91x10^{-9}\)  

The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different

Answer:

-119

Step-by-step explanation:

Answer:

-8.4

Step-by-step explanation:

-7 x 1.2

Answer:

The answer is y < 2x -3

Step-by-step explanation:

You can read this as all values on the graph will be the value of x times 2 minus 3..

For example, if we wanted to know what the value of y would be if x =2, we would plug in 2 and get 2(2) - 3 or just 1. We can see at the graph that when x = 2 y does equal 1. **In this situation we are pretending that the < symbol is the equal symbol..

To actually find the answer you can graph each equation until you find it or do it this way:

1) Find the slope and determine if it it works for the given graph.

We can see that the slope of the given graph is positive and if we look closer we can see that the slope is 2 over  and that we have a y-intercept of (0,-3).

2) We know that it is Option 2 instead of the first option because o the < sign. If it was option 1, then the shaded part of the graph would be on the other side of the line.

The inequality has the graph shown in the question. is to be considered as the  y < 2x -3.

Since

First determine the slope

So we can see that the slope of the given graph should be positive and then the slope should be 2 over and there is y-intercept of (0,-3).

So based on this, we can say that The inequality has the graph shown in the question. is to be considered as the  y < 2x -3.

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Answer:

Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.

Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:

x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)

So the value of x is option B: 8√2 / 2 or simplified, 4√2.

Answer:

We accept H₀ we don´t have enough evidence to support that the proportion of certain town differs from that of National Information

Step-by-step explanation:

National Information:

p = 10,3 %      p = 0,103

Sample

Sample size    n₁  = 100

x₁  = 8

p₁  = x₁/100         p₁  = 8 / 100     p₁ = 0,08 %  

q₁  =  1 - p₁       q₁  = 1  - 0,08      q₁  = 0,92

Confidence Interval  CI = 95 %   significance level  α  = 5 %   α = 0,05

z(c) for α = 0,05  from z-table is  : 1,64

Test Hypothesis:

Null Hypothesis                                       H₀       p₁  = p

Alternative Hypothesis                           Hₐ       p₁ <  p

The alternative hypothesis suggest a one tail test to the left

z(s)  =  (  p₁  - p ) √p₁*q₁ / n₁

z(s)  = ( 0,08 - 0,103 )/√ 0,08*0,92/100

z(s)  =  - 0,023 / 0,027

z(s)  = - 0,85

Comparing  z(s)   and  z(c)

z(s) > z(c)     - 0,85  > -1,64

z(s) is in the acceptance region, we accept H₀