which choices are equivalent to the expression?
a. 75
b. √25 · √3
c. √45
d. √75
e. √3 · √5
f. √15 · √5

Answer:

x>_5

Step-by-step explanation:

distribute ---> 6x-15+10_>_25... add 5 to both sides 6x_>_ 30... then divide by 6... x>_5

Answer:

9.5

Step-by-step explanation:

Answer:

  y = x - 8

Step-by-step explanation:

You want an equation for the line through the points (8, 0) and (3, -5).

The slope of the line can be found using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (-5 -0)/(3 -8) = -5/-5 = 1

The y-intercept can be found from the equation ...

  b = y1 -m(x1)

  b = 0 -1(8) = -8

The slope-intercept equation of the line is ...

  y = mx +b

  y = 1·x +(-8)

  y = x -8 . . . . . an equation for the line

<95141404393>

Answer:

After Peter used it to fill a 1.5 liter can, a 750 milliliter bottle, and a 2 liter 250 milliliter tin, he realized that he had a liter of water ...

Step-by-step explanation:

Answer:

B. (1, -3/2)

Step-by-step explanation:

Midpoint formula: (x₁ + x₂)/2, (y₁ + y₂)/2

Answer:

4) It does not represent a function because multiple outputs are equal to an input.

(i dont know for b sorry)

5) i think that means ummm:

(-6, -12)

(-3, 6)

(0, 0)

(3, -6)

(6, -12)

Step-by-step explanation:

because thats what i think. i tried my best here hope this helps!

Lets name the vector V: (-2,7)

U which is the unit vector is

  [tex]u = \frac{V}{||V||} = \frac{(-2,7)}{\sqrt{(-2)^{2} +(7^2)} } } = \frac{1}{\sqrt{53} } (-2,7) = (\frac{-2}{\sqrt{51} } ,\frac{7}{\sqrt{51} } )[/tex]

Hope that helps!

Answer:

24 bracelets can be made from given beads.

● Explanation -To make similar bracelets using all the beads, we have to find the highest common factor of no of beads.Now, Factors of 72 => 1, 2, 3, 4, 6, 8 , 9, 12, 18, 24, 36, 72Factors of 192 => 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192Factors of 120 => 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120HCF => 24Observing this data, HCF of 72, 192 & 120 will be 24.Therefore, total 24 bracelets can be made from given beads.* Each bracelet will have 3 red, 8 blue and 5 white beads.

Answer:

-n + 1

Step-by-step explanation:

(n + 2) - (2n + 1)

n + 2 - 2n - 1

-n + 1

Answer:

[tex] \sf \: -n + 1 [/tex]

Step-by-step explanation:

Given information,

→ h(n) = n + 2

→ g(n) = 2n + 1

Now we have to,

→ find the value of h(n) - g(n).

Then required value will be,

→ h(n) - g(n)

→ (n + 2) - (2n + 1)

→ n + 2 - 2n - 1

→ (n - 2n) + (2 - 1)

→ (-n) + (1)

→ -n + 1

Hence, the value is -n + 1.

Answer:

h = 6.71

Step-by-step explanation:

6^2 + b^2 = 9^2

36 + b^2 = 81

36 - 36 = 0

81 - 36 = 45

b^2 = 45

square root of 45

b = 6.71

The volume of a cone is the amount of space in the cone

The radius of the cone is 4.00 millimeters

The given parameters are:

Volume = 150.72 cubic mL

Height = 9 mL

The volume of a cone is calculated as:

[tex]V = \frac 13 \pi r^2h[/tex]

So, we have:

[tex]150.72 = \frac 13 \pi * r^2 * 9[/tex]

Divide

[tex]150.72 = \pi * r^2 * 3[/tex]

Divide both sides by 3

[tex]50.24 = \pi * r^2[/tex]

Rewrite the equation

[tex]50.24 = \frac{22}{7} * r^2[/tex]

Solve for r^2

[tex]r^2 = 50.24 * \frac{7}{22}[/tex]

Solve for r

[tex]r = 4.00[/tex]

Hence, the radius of the cone is 4.00 millimeters

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Answer: PART A:

w-3.5 t=8

w-3.25t=24

PART B:

t=64

and w= 232

PART C:

It will take 64 minutes for both of the containers to have the same amount of water.

The amount of water in each container is:

232 gallons.

Step-by-step explanation:

PART A:

Let the water is filling in 't' minutes.

and 'w' denotes the amount of water in the container.

for container 1:

One begins with 8 gallons of water and is filled at a rate of 3.5 gallons per minute.

The equation is given by:

or

for container 2:

The other begins with 24 gallons and is filled at 3.25 gallons per minute.

The equation is given by:

or

PART B:

on solving equation (1) and equation (2) by method of elimination we get:

subtract equation (2) by equation (1) to obtain:

t=64

and  putting the value of t in equation (1) to obtain:

w= 232

PART C:

Hence it will take 64 minutes for both of the containers to have the same amount of water.

The amount of water in each container is:

232 gallons.

Step-by-step explanation:

Answer:

C. is incorrect.

Step-by-step explanation:

Calculate the percentages for each prize desired by the 50 students responding in the sample survey.  See the attached image for this calculation.  Multiply these percentages times the total student body of 225 students to determine the likely selection for each prize (on the attachment).

A.  is correct (126 students)

B.  is correct

C.  is incorrect.  The total is (54 + 27) = 83

D.  is true

Step-by-step explanation:

53×26=1378. hence if hakeem saves $1300 he still has about $78.

Answer:

[tex]17[/tex]

Step-by-step explanation:

[tex]4\cdot \:5-10-2\left(1-2\right)+5[/tex]

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]=4\cdot \:5-10-2\left(-1\right)+5[/tex]

[tex]=20-10-2\left(-1\right)+5[/tex]

[tex]=20-10-\left(-2\right)+5[/tex]

[tex]20-10=10[/tex]

[tex]=10-\left(-2\right)+5[/tex]

[tex]-\left(-2\right)=+2[/tex]

[tex]=10+2+5[/tex]

[tex]10+2=12[/tex]

[tex]=12+5[/tex]

[tex]12+5=17[/tex]

[tex]=17[/tex]

Answer:

170cm²

Step-by-step explanation:

so the middle rectangle part first

15x10=150

then there's triangles so i'm gonna skip the divided by 2 part.

5x4=20

150+20=170

Solution:

Note that:

Finding the area of triangle:

Finding the area of rectangle:

Using the formula of surface area:

Answer:

50 and 25

Step-by-step explanation:

y+x=75

y-x=25

y+y=yx and x-x eliminate itself

so now we have the operation 2y= 50, I got the 50 from substrating 25 from 75

now found the value of y, 50/2=25

so y=25

now plug the number in

25+x=75

75-25=50

so x= 50

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

Explanation:

Let's find the side length of the cube based on the given surface area.

SA = 6s^2

96 = 6s^2

6s^2 = 96

s^2 = 96/6

s^2 = 16

s = sqrt(16)

s = 4

The cube has side length 4 cm.

Now calculate the total volume.

V = s^3

V = 4^3

V = 4*4*4

V = 64 cubic cm.

-------------------

Extra info:

The unit "cubic cm" can be abbreviated to "cc". So whenever you hear something from a medical tv show "get me 10 cc's of XYZ", that's what they're referring to. Of course the "10" might be some other realistic value, it's just an example.

1 cc = 1 milliliter

Ratio remains same

[tex]\\ \rm\Rrightarrow \dfrac{x}{3.2}=\dfrac{2}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{x}{3.2}=\dfrac{1}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=3.2/2[/tex]

[tex]\\ \rm\Rrightarrow x=1.6[/tex]

Answer:

False

Step-by-step explanation:

2,4,6,8,10,12, ETC

Answer:

x=28.3

Step-by-step explanation:

Answer:

B. "She should name the diameter she first drew EG and name the new segment FH."

Step-by-step explanation:

Answer:

A. (x – 2)(x + 5)(x – 3) on edg

Step-by-step explanation:

Took the test

When a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial. The factors of x³-5x+6 are (x+5)(x-2)(x-3).

According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.

Since f(–5) = 0, therefore, (x+5) is a factor of the polynomial f(x).

[tex]\dfrac{x^3-19x+30}{x+5} = x^2-5x+6[/tex]

Now, x² -5x + 6 can be factorised as,

x² - 5x + 6

x² - 2x - 3x + 6

x(x-2) -3 (x-2)

(x-2)(x-3)

Hence, the factors of x³-5x+6 are (x+5)(x-2)(x-3).

Learn more about the Remainder Theorem:

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#SPJ2

Answer:

Whole number

Step-by-step explanation:

Whole number because it equals one and one is a whole number.

The tire with radius of 6 inches when rolled 150 revolutions travels approximately 5654 inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

A tire with a radius of 9 inches that is rolled 150 revolutions and travels approximately 8,482 inches.

For a tire with radius r and that is rolled 150 revolutions and travels approximately 5654 inches:

9/8482 = r/5654

r = 6 inches

The tire with radius of 6 inches when rolled 150 revolutions travels approximately 5654 inches.

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