Drag each item to the appropriate space on the proof.

Answer:

In the first one you are missing (x - 3) so it will be 4(x - 3) and if you factor it out it will be 4x - 12

In the second one you are missing a (x -5)which means 9x(x -5) or when you factor it out it will be 9x^2 - 45x

Step-by-step explanation:

3x^2 -23x + 40 = (3x - 8) (x - 5)

3x^2 -17x + 24 = (3x -8) ( x - 3)

Answer:

37

-----

56

Step-by-step explanation:

Answer:

The pvalue of the test is 0.0058 < 0.01, which means that there is significant evidence to conclude the proportion of infants who receive Prevnar and experience of a loss of appetite is different from 0.135.

Step-by-step explanation:

Test if the proportion of infants who receive Prevnar and experience of a loss of appetite is different from 0.135

This means that the null hypothesis is:

[tex]H_{0}: p = 0.135[/tex]

And the alternate hypothesis is:

[tex]H_{a}: p \neq 0.135[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.135 is tested at the null hypothesis:

This means that [tex]\mu = 0.135, \sigma = \sqrt{0.135*0.865}[/tex]

Of the 710 infants,121 experienced a loss of appetite.

This means that [tex]n = 710, X = \frac{121}{710} = 0.1704[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.1704 - 0.135}{\frac{\sqrt{0.135*0.865}}{\sqrt{710}}}[/tex]

[tex]z = 2.76[/tex]

Pvalue of the test and decision:

The pvalue of the test is the pobability that the population proportion differs from the tested proportion by at least 0.1704 - 0.135 = 0.0354, which is P(|z| > 2.76). This probability is 2 multiplied by the pvalue of z = -2.76.

Looking at the z-table, z = -2.76 has a pvalue of 0.0029

2*0.0029 = 0.0058

The pvalue of the test is 0.0058 < 0.01, which means that there is significant evidence to conclude the proportion of infants who receive Prevnar and experience of a loss of appetite is different from 0.135.

Answer:

6t=9? let me know if that's correct x

Step-by-step explanation:

Add the half circle to the rectangle and subtract the triangle.

Area of half circle = 1/2 x pi x 8.5^2 = 113.4325

Area of rectangle = 11 x 17 = 187

Area of triangle: 1/2 x 3 x 17 = 25.5

Total area: 113.4325 + 187 - 25.5 = 274.9325 square m

Perimeter: outside dimension for 1/2 circle = 1/2 x 3.14 x 17 = 26.69

Perimeter = 26.69 + 11 + 11 + 9 + 9 = 66.69 m

9514 1404 393

Answer:

  x² +15x +56

Step-by-step explanation:

We presume these are dimensions of a rectangle, so the area is their product.

  A = (x +8)(x +7) = x(x +7) +8(x +7) = x² +7x +8x +56

  A = x² +15x +56

Answer:

10 inches

Step-by-step explanation:

Answer:

The answer is "In the i-th to J-th hour, the Wrestler played only 24 match-ups".

Step-by-step explanation:

Let [tex]x_i[/tex] label the number of teams played by the wrestler for [tex]1 \leq i \leq 75[/tex], after i-th hour, where [tex]1 \leq x_i \leq 125[/tex].   This also means [tex]25 \leq x_i + 24 \leq 149[/tex]. The Pigeonhole Principle means that [tex]\ni i \neq j \ni x i+ 24 = x ,j[/tex] is played exactly 24 matches  between the i-th and j-th-hours end. Thus, 150 integrals [tex]x_1,x_2,......x_{75}, x_1+24,x_2+24.[/tex]  In the i-th to J-th hour, the Wrestler played only 24 match-ups.

Answer:

B. x=5, y=4

Step-by-step explanation:

the tiny triangle is 3x smaller so just divide those numbers by three

9514 1404 393

Answer:

  113.57 square units

Step-by-step explanation:

The area of each of the 6 triangular faces is ...

  A = 1/2bh

  A = (1/2)(4)(6) = 12 . . . . square units

The area of the base is ...

  A = (3√3)/2·s² . . . . . . for side length s

  A = (3√3)/2×4² = 24√3 . . . . square units

Then the total area is ...

  total area = base area + face area

  = 24√3 + 6(12) = 24(3 +√3) ≈ 113.57 . . . square units

Answer:

x = 150°

Step-by-step explanation:

From the picture attached,

Segment AC and segment BC are the tangents to circle O.

By the property of angle between tangent and the radius of a circle,

"Angle between the radius and tangent drawn to the circle is 90°"

m(∠OAC) = m(∠OBC) = 90°

Sum of opposite angles of the quadrilateral OBCA is 180°,

m(∠OAC) + m(∠OBC) = 180°

Therefore, quadrilateral OBCA is a cyclic quadrilateral.

By the same property of cyclic quadrilateral,

m(∠AOB) + m(∠ACB) = 180°

x° + 30° = 180°

x = 180 - 30

x = 150°

Answer:

3rd answer

Step-by-step explanation:

Answer:

whats chars?

Step-by-step explanation:

Answer:

Step-by-step explanation:

total sum of Triangle's angles is 180 deg:

than: x = 180 -61-56 = 63

Answer:

63 degrees

Step-by-step explanation:

All three angles in a triangle is always 180, so 180-61-56=63 degrees

Please mark Brainliest.

Have a great weekend!

Answer:

y^3 + 7 - 15

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

15x+6=10x+21

5x=15

x=3

Answer: x=3

Step-by-step explanation:

[tex]15x+6=10x+21\\5x+6=21\\5x=15\\x=3[/tex]

Answer:

[tex]Length = 10ft[/tex]

[tex]Width = 15ft[/tex]

Step-by-step explanation:

Given

[tex]W= Width\\ L = Length[/tex]

[tex]Area = 150[/tex]

[tex]W=2*L- 5[/tex]

Required

Determine the dimension

Area is calculated as:

[tex]Area = L * W[/tex]

So, we have:

[tex]L * W = 150[/tex]

Substitute: [tex]W=2*L- 5[/tex]

[tex]L * (2*L-5) = 150[/tex]

[tex]L * (2L-5) = 150[/tex]

Open bracket

[tex]2L^2 - 5L = 150[/tex]

Rewrite as:

[tex]2L^2 - 5L - 150=0[/tex]

Expand

[tex]2L^2 -20L + 15L - 150 = 0[/tex]

Factorize:

[tex]2L(L -10) + 15(L - 10) = 0[/tex]

[tex](2L + 15) (L - 10) = 0[/tex]

Split

[tex]2L + 15=0[/tex] or [tex]L -10 = 0[/tex]

Solve for L

[tex]2L =-15[/tex] or [tex]L = 10[/tex]

L cannot be negative

So:

[tex]L = 10[/tex]

Substitute [tex]L = 10[/tex] in [tex]W=2*L- 5[/tex]

[tex]W = 2 * 10 - 5[/tex]

[tex]W = 20 - 5[/tex]

[tex]W = 15[/tex]

Hence:

[tex]Length = 10ft[/tex]

[tex]Width = 15ft[/tex]

Answer:

3 cups or 1.5 pints

Answer:

Exact form: 925/48

Decimal form: 19.27083

Mixed number form: ↓↓↓↓

[tex]19 \times \frac{13}{48} [/tex]

Step-by-step explanation:

hope that helps :) have a good day!

Answer:

If the length is 4 units greater than W then it is equal to w*4..

Step-by-step explanation:

A=L*W

A=4*w

A=w*4 or A=4w

Answer:

20.9 i think

Step-by-step explanation:

Answer:

10.45

Step-by-step explanation:

h=3.8

b-5.5

5.5 multiply 3.8 =20.9

this is a triangle so divide 20.9 by 2

=10.45

Answer:

Step-by-step explanation:

radius = diameter/2 = 46cm/2 = 23 cm

Answer:

The remainder is -64

Step-by-step explanation:

Given

[tex]7x^2 - x^3[/tex]

Divided by [tex]x - 8[/tex]

Required

Determine the remainder

Equate [tex]x - 8[/tex] to 0

[tex]x - 8 = 0[/tex]

Solve for x

[tex]x = 8[/tex]

Using remainder theorem, substitute 8 for x in [tex]7x^2 - x^3[/tex]

So, we have:

[tex]7 * 8^2 - 8^3[/tex]

Evaluate all exponents

[tex]7 * 64 - 512[/tex]

[tex]448 - 512[/tex]

[tex]-64[/tex]

Answer:

B

Step-by-step explanation:

(x-coordinate, y-coordinate) and the horizontal axis refers to the x-axis and the vertical axis refers to the y-axis.

Answer:

512 units.

Step-by-step explanation:

V = S x S x S

V = 8 x 8 x 8

V = 512

So your answer is 512 units! Please mark brainliest if I got it right :)

Answer:

Every class period is 43 minutes long.

Equation:

(m - 10) ÷ 4

angle 2 and angle 6 need to be congruent

The coefficients in the balanced reaction

4 Fe + 3 O₂   →   2 Fe₂O₃

represent the ratio of moles of each reactant to each product. That is, for every 4 moles of Fe and 3 moles of O₂, 2 moles of Fe₂O₃ are produced.

First convert the given amount of Fe into moles. Fe has a molar mass of 55.845 g/mol, so you have

42.7 g × (1/55.845 mol/g) = 0.765 mol

of Fe.

Find how many moles of Fe₂O₃ are produced given this much Fe and an abundant supply of O₂. Multiply the coefficients of the balanced reaction by 0.765/4 :

0.765 Fe + 0.573 O₂   →   0.382 Fe₂O₃

Now convert the amount of Fe₂O₃ to grams. O has a molar mass of 15.999 g/mol, so Fe₂O₃ has a total molar mass of about

2 (55.845 g/mol) + 3 (15.999 g/mol) = 159.687 g/mol

Then the reaction would produce about

0.382 mol × (158.687 g/mol) ≈ 61.0 g

of Fe₂O₃.