What is the highest common factor of 60 and 70.

Answer:

Set the expression inside the square root greater than or equal to zero. We do this because only nonnegative numbers have a real square root, in other words, we can not take the square root of a negative number and get a real number, which means we have to use numbers that are greater than or equal to zero.

Step 2: Solve the equation found in step 1. Remember that when you are solving equations involving inequalities, if you multiply or divide by a negative number, you must reverse the direction of the inequality symbol.

Step 3: Write the answer using interval notation.

Answer:

(3x-2)^2+8= 9x^2-12x+12

Answer:

9 (a) [tex]d = \frac{\sqrt{e}}{\sqrt{3}}[/tex]

9 (b) [tex]d = \frac{\sqrt{7k}}{\sqrt{2}}[/tex]

Step-by-step explanation:

Hope this helped!

Answer:

Kerri

calculate z scores z= (x - xbar)/stdev

Kerri = 1.7

Cade = .7

Vincent = 1

Step-by-step explanation:

Answer:

[tex]\frac{1}{(x+1)(x-2)}[/tex]

Step-by-step explanation:

[tex]\frac{x+2}{4x^2 + 5x + 1} \ \times \ \frac{4x+1}{x^2-4}\\\\=\frac{x+2}{4x^2 + 4x + x + 1} \ \times \ \frac{4x+1}{x^2-2^2}\\\\=\frac{x+2}{4x(x + 1) + 1( x + 1)} \ \times \ \frac{4x+1}{(x - 2)(x + 2)} \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=\frac{x+2}{(4x + 1)(x+1)} \ \times \ \frac{4x+1}{(x-2)(x+2)}\\\\=\frac{1}{(x+1)} \ \times \ \frac{1}{(x-2)}\\\\= \frac{1}{(x+1)(x-2)}[/tex]

Answer:

D. 1/(x+1)(x-2)

Step-by-step explanation:

i looked it up on a simplifier :)

1

Step-by-step explanation:

[tex]\displaystyle \lim_{x \to 0}\dfrac{\sin x}{x}[/tex]

Let

[tex]f(x)= \sin x[/tex]

[tex]g(x)=x[/tex]

We are going to use L'Hopital's Rule here that states

[tex]\displaystyle \lim_{x \to c}\dfrac{f(x)}{g(x)}=\lim_{x \to c}\dfrac{f'(x)}{g'(x)}[/tex]

We know that

[tex]f'(x) = \cos x[/tex] and [tex]g'(x)=1[/tex]

so

[tex]\displaystyle \lim_{x \to 0}\dfrac{\sin x}{x}=\lim_{x \to 0}\dfrac{\cos x}{1}=1[/tex]

Answer:

55%

Step-by-step explanation:

18 out of 40 include chili.

So 22 has no chili

22/40 = 0.55 or 55%

Answer:

AB^2- AC.

Step-by-step explanation:

I'm not sure if this question is complete, but when two separate variables are placed in brackets side by side, then it means they need to be expanded.

Therefore, expanding the bracket gives us:

(AB) (B-C)=

AB^2- AC.

This is the answer, if the only task needed is to expand the brackets.

Answer:

Location of W is - 23, location of X is - 9.

Step-by-step explanation:

location of V = - 16

Points W and X are each 7 units away from Point V.

Let the W is at left of V and X is right of V.

location of W = -16 - 7 = - 23

location of X = - 16 + 7 = - 9

Answer:

20

Step-by-step explanation:

your mom

I think it's: 4,674.14$

Answer:

A = $4724.36

Step-by-step explanation:

P = $3500

r = 7.5% = 0.075

t = 4years

n = 365

     [tex]A = P(1 + \frac{r}{n})^{nt}\\\\[/tex]

        [tex]=3500(1 + \frac{0.075}{365})^{365 \times 4}\\\\=3500(1.00020547945)^{365\times4}\\\\= 3500 \times 1.34981720868\\\\= 4724.36023037\\\\= \$ 4724.36[/tex]

9514 1404 393

Answer:

  B.  1/2

Step-by-step explanation:

Maybe you want  the solution to ...

  [tex]9^x-1=2[/tex]

You can use logarithms, or your knowledge of powers of 3 to solve this.

  [tex]9^x=3\qquad\text{add 1}\\\\3^{2x}=3^1\qquad\text{express as powers of 3}\\\\2x=1\qquad\text{equate exponents of the same base}\\\\\boxed{x=\dfrac{1}{2}}\qquad\text{divide by 2}[/tex]

Using logarithms, the solution looks like ...

  [tex]x\cdot\log{9}=\log{3}\\\\x=\dfrac{\log{3}}{\log{9}}=\dfrac{1}{2}[/tex]

Answer:

25 liters of 20%

50 liters of 50%

Step-by-step explanation:

x = liters of 50%

75 - x = liters of 20%

50x + 20(75 - x) = 40(75)

50x + 1500 - 20x = 3000

30x = 1500

x = 50

75 - x = 25

Answer: 11%

Step-by-step explanation:

Since the formula for interest is:

I = PRT

where.

P = 1200

I = 99

T = 0.75

I = PRT

R = I/PT

R = 99/(1200 × 0.75)

R = 99/900

R = 11%

Therefore, the rate is 11%

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

Explanation:

To factor this, we need to find two numbers that

Through trial and error, you would find that the two numbers are -2 and -7

-2*(-7) = 14

-2 + (-7) = -9

So that's why the given trinomial factors to (y-2)(y-7)

You can use the FOIL rule to go from (y-2)(y-7) back to y^2-9y+14 again.

Answer:

The answer is A

Step-by-step explanation:

Starting from -3 in the Y values of option A. If you subtract three from each value, you will get the next value to the right.

Answer:

Someone already answered it but I won't let 50 points go to waste. !!!!!

Step-by-step explanation:

Answer: 2617 centimeters cubed

Step-by-step explanation:

The formula for finding volume of a cylinder is [tex]V=\pi r^2h[/tex]

The radius is half of the diamerter which will be 7 for this figure.

The height is marked 17

[tex]\pi 7^2(17)\\\pi (49)(17)\\833\pi \\[/tex]

833π is about 2616.95

Rounded to the nearest whole number it is 2617

Answer:

2( 2n-3)

Step-by-step explanation:

4n-6

2*2 n - 2*3

Factor out the greatest common factor

2( 2n-3)

Answer:

[tex]Volume \ of \ other\ cylinder = 176 \ cm^3[/tex]

Step-by-step explanation:

Let the volume of cylinder Vₐ = 44cm³

Let radius of cylinder " a " be = rₐ

Let height of  cylinder " b" be = hₐ

     [tex]Volume_a = \pi r_a^2 h_a\\\\44 = \pi r_a^2 h_a[/tex]

Given cylinder " b ", Radius is twice cylinder " a " , that is [tex]r_b = 2 r_a[/tex]

Also Height of cylinder " b " is same as cylinder " a " , that is [tex]h_b = h_a[/tex]

       [tex]Volume_b = \pi r_b^2 h_b[/tex]

                     [tex]= \pi (2r_a)^2 h_a\\\\=4 \times \pi r_a^2 h_a\\\\= 4 \times 44\\\\= 176 \ cm^3[/tex]

Answer:

The radius is 10

Step-by-step explanation:

Given

[tex]x^2 + y^2 + 21 = 40 + 18y.[/tex]

Required

The radius

Rewrite as:

[tex]x^2 + y^2 - 18y = 40-21[/tex]

Subtract 81 from both sides

[tex]x^2 + y^2 - 18y +81= 40-21+81[/tex]

Expand

[tex]x^2 + y^2 - 9y - 9y +81= 40-21+81[/tex]

Factorize

[tex]x^2 + y( y- 9) - 9(y -9)= 40-21+81[/tex]

Factor out y - 9

[tex]x^2 + (y- 9) (y -9)= 40-21+81[/tex]

Express as squares

[tex]x^2 + (y- 9)^2= 100[/tex]

[tex]x^2 + (y- 9)= 10^2[/tex]

The equation of a circle is:

[tex](x - a)^2 + (y- b)= r^2[/tex]

By comparison:

[tex]r^2=10^2[/tex]

[tex]r = 10[/tex]

Answer:

1.3

Step-by-step explanation:

Raise/run = slope aka distance in this situation

8/6 = 1.3

Answer:

10 units

Step-by-step explanation:

use the distance formula as thought in school

Answer:

The bottom one.

Step-by-step explanation:

Answer:

D.   (-2, 0) and (3, 0).

Step-by-step explanation:

At the x -intercepts the function = 0, so

(2x + 4)(x - 3) = 0

2x + 4 = 0 and x - 3 = 0

x = -4/2 = -2 and x = 3.

So they are (-2, 0) and (3, 0).

x = 3 or x = -2

Step-by-step explanation:

f(x) = (2x + 4)(x - 3)

y = (2x + 4)(x - 3)

x - intercept occurs when y = 0

0 = (2x + 4)(x - 3)

0 = 2x² - 6x + 4x - 12

2x² - 2x - 12 = 0

(2x² - 2x - 12)/2 = 0/2

x² - x - 6 = 0

From the quadratic formula,

x = (-b +- √(b² - 4ac))/2a

x = (- ( -1 ) +- √(( -1)² - 4( 1 )( -6 )))/2( -1 )

x = (1 +- √(1 - ( -24)))/-2

x = (1 +- √25)/-2

x = (1 +- 5)/-2

x = 3 or x = -2

Answer:

1=110 2=70 3=70 4=110 5=110 6=70 7=70 8 =110

Step-by-step explanation:

its the answer

9514 1404 393

Answer:

  x = -7, 5

Step-by-step explanation:

The equation is written as a product equal to zero. The "zero product rule" tells us that a product is zero if and only if one or more factors are zero. Each factor will be zero when x takes on a value equal to the opposite of the constant in that factor.

  x -5 = 0   ⇒   x = 5

  x +7 = 0   ⇒   x = -7

The solutions to the equation are x = -7, 5.

Step-by-step explanation:

You can't expect to get exactly 2500 out of 5000 tosses more than a few times . You will come pretty close, but that's only good in horseshoes.

Of course I'm answering this on the basis of a computer language and not actually performinig this a million tmes, each part of a million consisting of 5000 tosses.

Simulations and not completely unbiased, but based on experience, 5000 is a very small number and getting 2500 more than a couple of times is unlikely

The probability of flipping a coin

coming up heads and tails is 1/2.

So, toss 5000 times 5000/2= 2500

heads: 2500

tails : 2500

Answer:

Part 1)

5.5 inches.

Part 2)

[tex]y=-2.5t+18[/tex]

Step-by-step explanation:

We can write a linear equation to model the function.

Let y represent the inches of snow and let t represent the number of hours since the end of the snowstorm.

A linear equation is in the form:

[tex]y=mt+b[/tex]

Since there was 18 inches of snow in the beginning, our y-intercept or b is 18.

Since it melts at a constant rate of 2.5 inches per hour, our slope or m is -2.5.

Substitute:

[tex]y=-2.5t+18[/tex]

This equation models how much snow Jamal will have on his lawn after t hours of snow melting.

So, after five hours, t = 5. Substitute and evaluate:

[tex]y=-2.5(5)+18=5.5\text{ inches}[/tex]

After five hours, there will still be 5.5 inches of snow.

Answer:

-2 and -2

Step-by-step explanation:

Step-by-step explanation:

→ Number of cars Roger has = m

→ Number of cars Don has = 2(Cars Roger has)

→ Number of cars Don has = 2m

→ Number of cars Larry has = 5 + (Cars Roger has)

→ Number of cars Larry has = 5 + m