Latoya created a factor tree and wrote the prime factorization of 90 shown below.
A factor tree of 90. 90 branches to 9 and 10. 9 branches to 3 and 3. 10 branches to 2 and 5. The equation is 90 = 2 times 3 times 5.
What is Latoya’s error?
She should not have found the factors of 9.
She should have included an exponent of 2 on the 3.
She should have included 9 and 10 in the prime factorization.
She should have started the tree with 2 times 45.

Answer:

[tex]896 \pi~m^3[/tex]

Step-by-step explanation:

[tex] V_{cylinder} = \pi r^2 h [/tex]

[tex] V_{cylinder} = \pi (8~m)^2 \times (14~m) [/tex]

[tex]V_{cylinder} = 896 \pi~m^3[/tex]

Hello again,

"katie deleted your answer to the question Hello,a=2, b=8, c=-1Indeed,y=f(x)=ax...

You've been warned"

Answer is a=2, b=8 and c=-1

Indeed:

y=f(x)=ax²+bx+c

Since (-2,-9) is the vertex,

y=k*(x+2)²-9

Or f(-1)=-7 ==> -7=k*(-1+2)²-9 ==> k=2

f(x)=2(x+2)²-9=2*(x²+4x+4)-9=2x²+8x+8-9

f(x)=2x²+8x-1

A proof: the picture is following.

Answer:

160=130+x

x=160-130

x=30

Answer:

Step-by-step explanation:

Volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex] And using r = 11 and pi = 3 (which is so far off, it's ridiculous):

[tex]V=\frac{4}{3}(3)(11)^3[/tex] which gives us that

V = 5324 in³

Answer:

C)33.9. I hope it's help

Answer: $32

Step-by-step explanation:

Since the boutique was having a 20% storewide sale and Erica bought 2 dresses which originally cost $80 each, therefore the sale for each dress will be:

= $80 - (20% × $80)

= $80 - (0.2 × $80)

= $80 - $16

= $64

Therefore, on each dress Erica saves $16. The amount of savings enjoyed will then be:

= $16 × 2

= $32

Answer:

x=5

Step-by-step explanation:

[tex]2+5x-45=-18\\5x=-18+45-2\\5x=25\\x=5[/tex]

x=5

Hope this helped! Please mark brainliest :)

Answer:

[tex]0.67x-2=0.43[/tex]

Step-by-step explanation:

2/3 = 0.6 repeating

3/7 = 0.42857

Answer:No

Step-by-step explanation:

Answer:

Option (C)

Step-by-step explanation:

Equation of the quadratic function having vertex at (3, 4) and opening upwards,

So the the minimum point of the function is (3, 4).

Therefore, minimum value of the function is 4 at x = 3.

y = (x - h)² + k [Here, (h, k) is the vertex]

g(x) = 2(x - 4)² + 3

Vertex of the parabola is (4, 3).

Since, leading coefficient is positive, parabola will open upwards.

Therefore, vertex will be the minimum point.

Minimum value of the function will be 3 at x = 4.

Minimum value of the function 'f' is greater than the minimum value of the function 'g'.

Option (C) will be the answer.

Answer:

C. The minimum value of f is greater than the minimum value of g.

Step-by-step explanation:

I got a 100% on my test

Answer: 3/4 is the answer.

Step-by-step explanation:

(2/3)/(8/9)

(doing reciprocal)

2/3 * 9/8

= 18/24

= 6/8

= 3/4

Answer:

3/4

Step-by-step explanation:

2/3 ÷ 8/9 = 2/3 ×9/8 = (2×9)/(3×8) =3/4

Answer:

your answer is totally correct

Answer:

Answer:

6) [tex]x^2 -4x+1[/tex]

7)   26x-1y +4z

Step-by-step explanation:

long division

      ____[tex]x^{2}[/tex]__-4x__+1____

x-2 | [tex]x^3-6x^2+9x-2[/tex]

  -    [tex]x^3-2x^2[/tex]

       -----------

             [tex]-4x^2+9x[/tex]

             [tex]-4x^2+8x[/tex]

        ----------------

                x-2

                x-2  

Answer:

Following are the responses to the given question:

Step-by-step explanation:

For point a:

Following are the null and alternative hypotheses:

[tex]H_0 : \mu_1 \leq \mu_2\\\\H_1 : \mu_1 > \mu_2[/tex]

For point b:

By using the Excel we obtained the output of the 2 sample t-test that is defined in the attached file.  

These point estimately are the difference among the mean for the two populations:

[tex]\to \mu_{\bar{x_1}-\bar{x_2}} = \mu_{\bar{x_1}}-\mu{\bar{x_2}} ={\bar{x_1}-\bar{x_2}}=573-491=82[/tex]

Answer: C {3, 4}

Step-by-step explanation:

Solve the inequality:

7x + 6 > 20

7x > 20 - 6

7x > 14

x > 2

Only 3 and 4 are greater than 2.

Answer:

y = -4x + 2

Step-by-step explanation:

Given the following data;

Points (x1, y1) = (0, 2)

Perpendicular line = y = ¼x + 5

To find the equation of the straight line passing;

Mathematically, the equation of a straight line is given by the formula: y = mx + c

Where;

From the question, we can deduce that the slope (m) of the perpendicular line is ¼.

y = ¼x + 5 = mx + c

Since the points are perpendicular to the equation of line, it must have a slope that is its negative reciprocal because the slopes of perpendicular lines are negative reciprocals of each other.

Therefore, ¼ = -4

Next, we would write the equation of the straight line using the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - 2 = -4(x - 0)

y - 2 = -4x - 0

y - 2 = -4x

y = -4x + 2

Answer:

[tex]-3\frac{1}{3}[/tex]

Step-by-step explanation:

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

Given:

[tex](-4)+\frac{2}{3}[/tex]

--------------->>>>

Make the denominators the same.

[tex](-4*\frac{3}{3} )+\frac{2}{3}=[/tex]

--------------->>>>

Multiply inside the parenthesis.

[tex]-\frac{12}{3} +\frac{2}{3}=[/tex]

--------------->>>>

Join the denominators.

[tex]\frac{-12+2}{ 3}=[/tex]

--------------->>>>

Add the numerators.

[tex]-\frac{10}{3}[/tex]

--------------->>>>

Convert to mixed fraction.

[tex]-3\frac{1}{3}[/tex]

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

Hope this is helpful.

Answer:

-10/3.

Step-by-step explanation:

(-4). 2

----- + ------

1 3

we have to make the denominator same:

so.,

-4. ×. 3. -12

---- ---- = ------

1. ×. 3. 3

-12 2. -12+2

---. + ---- =. -----------

3. 3. 3

-10

=. ----

3

Answer:

[tex]2(6 + 4) - 3(5) \\ 12 + 8 - 15 \\ = 5[/tex]

Answer:

1

Step-by-step explanation:

2*6+4-3*5

12+4-15

16-15

1

Answer:

[tex]\frac{15}{ \sqrt{31} - 4}} = \sqrt{31} + 4[/tex]

Step-by-step explanation:

[tex]\frac{15}{\sqrt{31} - 4}\\\\=\frac{15}{\sqrt{31} - 4} \times \frac{\sqrt{31} + 4}{\sqrt{31}+ 4} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ rationalizing \ the \ denominator \ ]\\\\=\frac{15( \sqrt{31} + 4 )}{(\sqrt{31})^2 - (4)^2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ (a-b)(a+b) = a^2 - b^2 \ ]\\\\=\frac{15 ( \sqrt{31} + 4)}{31 - 16}\\\\=\frac{15 (\sqrt{31} + 4)}{15}\\\\= \sqrt{31} + 4[/tex]

option A.55°

Answer:

Solution given:

<x+<y=<z

exterior angle of a triangle is equal to the sum of two opposite interior angle

4n-18+n+8=133-6n

5n+6n=133+10

11n=143

n=143/11

n=13

exterior angle =133-6*13=55°

option A.55°

9514 1404 393

Answer:

  -2/3

Step-by-step explanation:

  2^a = 0.5 = 2^-1   ⇒   a = -1

  5^b = 125 = 5^3   ⇒   b = 3

Then the expression a^b  +b^a is ...

  a^b +b^a = (-1)^3 +3^(-1) = -1 +1/3 = -2/3

Answer:

Use the slope formula to find the slope  

m

.

m

=

4/5  

Step-by-step explanation:

Answer:

124°

I hope it's helps you

Rewrite the fractions as decimals by dividing:

7/8 = 0.7777

3/4 = 0.75

1/2 = 0.5

2/3 = 0.666

0.777 is the largest number so 7/9 is the largest fraction.

Answer: 7/9

Answer:

2/3

Step-by-step explanation:

L.C.M:36

7/9:28/36

3/4:27/36

1/2:1836

2/3:36/36

just multiply the numbers together, and it gives you 28, which is what she did thought everything