3. The following are the scores you shot in five rounds of golf: 70,80,75,75,80. The variance is: A. 3.74 C. 14 B. 196 D. 70​

Answer:

A

Step-by-step explanation:

We have the equation:

[tex]\displaystyle \frac{3}{8}y=2+x[/tex]

And we want to determine whether or not this represents a direct proportion.

First, let's solve for y. Multiply both sides by 8/3:

[tex]\displaystyle y=\frac{16}{3}+\frac{8}{3}x[/tex]

Remember that direct proportions must pass through the origin point on a graph. In other words, their y-intercept or constant value is zero.

Since the constant value here is not zero (it is 16/3), the equation is not direct proportion.

Our answer is A.

The inequality that represents the statement on the number of marbles that the students have is 5x < 45.

The five students have x marbles each. This means that they each have the same amount of marbles and to find the total sum, you need to multiple this number by 5:
= 5x

This total is less than 45 however so the inequality will be:

(5 × x ) < 45

5x < 45

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Answer:

The first one: 0=-3x-5+x²

Step-by-step explanation:

You have to rearrange the equation to identify the coffecients on the quadratic.

Answer:

First one.

Step-by-step explanation:

Put in standard form. Highest exponent to lowest to constant.

[tex]x^{2}[/tex] - 3x - 5 = 0

a[tex]x^{2}[/tex] - bx - c = 0

Given:

The expressions are:

[tex]6+3[/tex]

[tex]6+(-4)[/tex]

[tex]6+(-6)[/tex]

To find:

The value of given expression by using integer tiles.

Solution:

We have,

[tex]6+3[/tex]

Here, both number are positive. When we add 6 and 3 positive integer tiles, we get 9 positive integer tiles as shown in the below figure. So,

[tex]6+3=9[/tex]

Similarly,

[tex]6+(-4)[/tex]

Here, 6 is positive and -4 is negative. It means we have 6 positive integer tiles and 4 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 2 positive integer tiles as shown in the below figure. So,

[tex]6+(-4)=2[/tex]

[tex]6+(-6)[/tex]

Here, 6 is positive and -6 is negative. It means we have 6 positive integer tiles and 6 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 0 integer tiles as shown in the below figure. So,

[tex]6+(-6)=0[/tex]

Therefore, [tex]6+3=9, 6+(-4)=2,6+(-6)=0[/tex].

Answer:

1=9

2=2

3=0

Step-by-step explanation:

Answer:

سأعطي فقط مثالاً مقدمًا أدناه آمل أن يساعد

Step-by-step explanation:

الارتفاع = 24 سم

نصف القطر = 14 ÷ 2 = 7 سم

ارتفاع مائل = L =؟

L2 = R2 + H2

م 2 = 72 +242

م 2 = 49 + 576

م 2 = 625

L = 25

الحجم = 1 ÷ 3 × 22 ÷ 7 × 7 × 24

الحجم = 1232 سم

مساحة السطح المنحني = 22 × 7 × 7 × 25

مساحة السطح المنحني = 550

إجمالي مساحة السطح = 22 × 7 × 7 × 25 + 7

مساحة السطح الكلية = 704 سم

يرجى وضع علامة لي على أنه أذكى

Answer:

200

Step-by-step explanation:

Substitute 15 for y

[tex] \frac{1}{5} x - \frac{2}{3} (15) = 30[/tex]

[tex] \frac{1}{5} x - 10 = 30[/tex]

[tex] \frac{1}{5} x = 40[/tex]

[tex]x = 200[/tex]

Answer:

7 and 13

Step-by-step explanation:

The multiples of 91 are

1, 7, 13, and 91

Only 7 and 13 make 20

Answer:

Explanation

7x13

7x13=91

7+13=20

Answer:

x= -33

Step-by-step explanation:

expand the equation : 2/3x +4 =-18

Then simplify to 2/3x=-22

multiply both sides by 3/2x to get x=-33

Answer:

x = -33

Step-by-step explanation:

2/3(x+6) = -18

x + 6 = (3/2)(-18)

x + 6 = -27

x = -33

Answer:

x = 4

Step-by-step explanation:

steps are in the pic above.

Answer:

[tex]\displaystyle a=\frac{7}{2}\text{ or } 3.5[/tex]

Step-by-step explanation:

We have the two points (3a, 4) and (a, -3).

And we want to find the value of a such that the gradient of the line joining the two points is 1.

Recall that the gradient or slope of a line is given by the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) is one point and (x₂, y₂) is the other.

Let (3a, 4) be (x₁, y₁) and (a, -3) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{-3-4}{a-3a}[/tex]

Simplify:

[tex]\displaystyle m=\frac{-7}{-2a}=\frac{7}{2a}[/tex]

We want to gradient to be one. Therefore, m = 1:

[tex]\displaystyle 1=\frac{7}{2a}[/tex]

Solve for a. Rewrite:

[tex]\displaystyle \frac{1}{1}=\frac{7}{2a}[/tex]

Cross-multiply:

[tex]2a=7[/tex]

Therefore:

[tex]\displaystyle a=\frac{7}{2}\text{ or } 3.5[/tex]

Answer:

[tex] \frac{7}{2} [/tex]

Step-by-step explanation:

Objective: Linear Equations and Advanced Thinking.

If a line connects two points (3a,4) and (a,-3) has a gradient of 1. This means that the slope formula has to be equal to 1

If we use the points to find the slope: we get

[tex] \frac{4 + 3}{3a - a} [/tex]

Notice how the numerator is 7, this means the denominator has to be 7. This means the denomiator must be 7.

[tex]3a - a = 7[/tex]

[tex]2a = 7[/tex]

[tex]a = \frac{7}{2} [/tex]

Answer:

y = 5

Step-by-step explanation:

The given equation to us is

⇒ -4y = -20

⇒ y = -20/-4

⇒ y = 5

Therefore this line will pass 5 units away from y axis. For graph refer to the attachment .

More Information :-

Answer:

A

Step-by-step explanation:

Answer:

a = 19

Step-by-step explanation:

If the rate of change is -8, subtract 8 from your y value of 27. And if 19 is correct, you should be able to subtract 8, and get 11 as the next number in the function, which you do, so 19 is the value of a.

The answer is 3 to the 3/4 power.

The common ratio of the geometric sequence is: B. r = 2/3.

The common ratio of a geometric sequence is determined by taking the last term and divide by the preceding term.

Given the geometric sequence, 6,4,8/3,16/9,..., the common ratio is calculated as follows:

16/9 ÷ 8/3 = 16/9 × 3/8 = 2/3 × 1/1 = 2/3

Or

8/3 ÷ 4 = 8/3 × 1/4 = 2/3

Or

4/6 = 2/3

Therefore, the common ratio of the geometric sequence is: B. r = 2/3.

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Answer:

B

Step-by-step explanation:

When we have a horizontal translation on the x-axis, it means the translation in question would be affecting only the x component of our function

With respect to the question, what we have here is that we are going to take out some values from x (or add some values) to it

Thus;

f(x) = x^2 would be;

g(x) = (x-4)^2

Corresponding to a shift to the right of upto 4 units on the x axis

Answer:

g(x)= (x-4)^2

Step-by-step explanation:

Plato/Edmentum

Answer: 312 balcony seats and 396 ground seats

Step-by-step explanation:

Multiplying the second equation by 10, we get 10b+10g=7080.

Subtracting this from the first equation, we get that 5b = 1560, and thus b=312.

Thus, g=396.

Answer:

1.61 pounds

Step-by-step explanation:

Weight of Marcos pumpkin = 1.37 pounds

Weight of Gabriel's pumpkin = Weight of Marcos pumpkin + 0.24 pounds

= 1.37 pounds + 0.24 pounds

= 1.61 pounds

Weight of Gabriel's pumpkin = 1.61 pounds

Answer:

Step-by-step explanation:

r=5 cm

area=πr²

perimeter=2πr

substitute the value of r and calculate.

Answer:

78.54 [tex]cm^{2}[/tex] Area

31.42 cm   Circumference/perimeter

Step-by-step explanation:

A = [tex]\pi r^{2}[/tex]

C = 2[tex]\pi[/tex]r

A = [tex]\pi[/tex][tex]5^{2}[/tex]

A = 25[tex]\pi[/tex]

A = 78.54

C = 2[tex]\pi[/tex](5)

C = 10[tex]\pi[/tex]

C = 31.42

Answer:

72

Step-by-step explanation:

6*6 = 36

3*12 = 36

36 + 36 = 72

Answer:

3 x + 2 y + z/ x + y + z ,  x = 2 ,  y = 3 ,  z = 1

tan ( x ) ,  x = − π

cot ( 3 x ) ,  x = 2 π /3

Step-by-step explanation:

Answer:

no pueden hablar otra idioma

Answer:

final cost of 3 pounds:  8 dollars  

final cost of p pounds:   3.75p - 3.25  dollars  

Step-by-step explanation:

Each pound costs $3.75, so 3 pounds cost 3*3.75 = 11.25 dollars. Subtract off the $3.25 to get the final cost to be 11.25-3.25 = 8 dollars. This takes care of the first part.

For the second part, the expression for the final cost is 3.75p - 3.25; where the 3.75p is the cost before the coupon is applied. If you plugged p = 3 into that expression, you should get 8 as a result. The variable p is some positive whole number. It's a place holder for the number of pounds of apples.

[tex]\displaystyle\bf \left \{ {{3x+4y=1} \atop {2x+3y=1}} \right. => \left \{ {{x=\frac{1-4y}{3} } \atop {2x+3y=1}} \right. => \\\\\\2\cdot\frac{1-4y}{3} +3y=1\: |\times3\\\\2-8y+9y=3\\\\y+2=3\\\\y=1 \;;\:x=(1-4y):3=-1\\\\\\Answer: (-1;1)[/tex]

Answer:

1) -4(3-5x) >= –6x+9

–12+20x >= -6x+9

The choose (D)

2 ) The choose (A)

3) The choose (A) step 1

4) 1/2(n-4)-3=3-(2n+3)

n=2

The choose ( B)

5) 2.5 (5x-4)=10+4(1.5+0.5x)

x=2

The choose (C)

1. -12 + 20 > -6x + 9

2. simplify by combining like terms

3. step 1

4. n=2

5. 2

Answer:

none

Step-by-step explanation:

accellus

The inverse matrix or type none of the given matrix is given as [tex]\rm A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}\\[/tex].

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrix is given below.

[tex]A = \begin{bmatrix}3& 2\\4 & 1 \\\end{bmatrix}[/tex]

Then the transpose of a will be

[tex]\rm adj \ A = \begin{bmatrix}a_{11} & a_{21} \\a_{12} & a_{22} \\\end{bmatrix}\\\\\rm adj \ A = \begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}[/tex]

Then the value of matrix A will be

[tex]\rm \left| A \right|= \begin{vmatrix}3& 2\\4 & 1\end{vmatrix}\\\\\left| A \right|= 3*1 - 4*2\\\\|A| = -5[/tex]

Then the inverse matrix is defined as

A⁻¹ = Adj A / |A|

Then we have

[tex]\rm A^{-1} = \dfrac{\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}}{-5}\\\\\\A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}\\[/tex]

More about the matrix link is given below.

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Answer:

36 spuare units

Step-by-step explanation:

A= 1/2 b*h

b=8

h=9

A=1/2(8*9)

A=1/2(72)

A=36

Answer:  Choice D)  4 over 25 square foot

This is the same as writing the fraction 4/25 of a square foot.

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

Explanation:

The base of the rectangle is 3/5 of a foot. The horizontal portion of either triangle is 1/5 of a foot.

These two facts allow us to find that the base of the parallelogram is 3/5 - 1/5 = 2/5 of a foot.

Multiply this with the height (2/5) to get

area = base*height

area = (2/5)*(2/5)

area = 4/25 .... answer is choice D

Side note: the base and height are not always the same length.

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A slightly longer approach would have you follow these steps

Answer:

€3,551.05

Step-by-step explanation:

31*29=899

899*3.65=€3,551.05

the school will get an estimate of €3,551.05

Answer: 15 m

Step-by-step explanation:

Given

Total volume of the combined pyramid is [tex]V=2700\ mm^3[/tex]

Height of top and bottom pyramid is

[tex]h_t=16\ mm[/tex]

[tex]h_b=20\ mm[/tex]

If the base has a side length of x, its area must be [tex]x^2[/tex]

Volume of square prism is given by

[tex]\Rightarrow V=\dfrac{1}{3}Bh\quad [\text{B=base area}]\\\\\text{Total volume will be the sum of the two pyramids}\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times 16+\dfrac{1}{3}\times x^2\times 20\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times (16+20)\\\\\Rightarrow x^2=225\\\Rightarrow x=15\ mm[/tex]

Thus, the value of [tex]x[/tex] is 15 m.