Congruent angle pairs : Find value of x

Answer:

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Step-by-step explanation:

Let's first state the null and alternative hypotheses for this research;

H0: p = 0.30

Ha: p ≠ 0.30

Now, since the bull hypothesis is the claim and he fails to reject the null hypothesis from the research, we will conclude that;

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Answer:

x ≈ 16.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

Answer:

a^3b + 2a^2b^2 + ab^3

Step-by-step explanation:

(a+b)^2

= a^2 + 2ab + b^2

ab(a^2 + 2ab + b^2)

= a^3b + 2a^2b^2 + ab^3

Answer: Graph A

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I was stumped on this question too so I figured I might as well learn how to do it. All you have to do is divide the middle number (16x) by 2. Pretty easy! Hope this helps anyone who needs it!

Answer: C, You can tell the trend line is incorrect since all of the points are below it. A trend line should be in-between all of the points to give the best estimate.

Step-by-step explanation:

Answer:

Vertex: (1, 6)

Axis of symmetry: x = 1

Step-by-step explanation:

Answer:

28 cm

Step-by-step explanation:

The perimeter (P) is the sum of the sides

P = LE + EF + ( FG + HI + JK ) + ( GH + IJ + KL )

   = 8 + 6 + 8 + 6

   = 28 cm

Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.

Explanatio: This can be found by looking at the basic form of vertex form:

y = (x - h)^2 + k

In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).

It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3

i hope this helps u

Answer:

b

Step-by-step explanation:

Answer:

b......................

Step-by-step explanation:

.

Answer:

8$ divided by 4.which is equal to 2

Answer:

Assuming this is the book one the answer is rectangular prism.

Answer:

The sequence converges to 1.

Step-by-step explanation:

Sequence 2/4, 3/5, 4/6, 5/7

This sequence can be summarized as:

[tex]\sum_{n=0}^{\infty} \frac{n+2}{n+4}[/tex]

To test if it converges, we can calculate the limite of [tex]\frac{n+2}{n+4}[/tex] as n goes to infinite.

Limit:

[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4}[/tex]

Considering only the terms with the highest exponent in the numerator and the denominator:

[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4} = \lim_{n \rightarrow \infty} \frac{n}{n} = \lim_{n \rightarrow \infty} 1 = 1[/tex]

Thus, the sequences converges to 1.

Answer: 56 m

Step-by-step explanation:

Given

The dimension of the garden is [tex]16\ m\times 12\ m[/tex]

So, the wire needed to fence around it is equal to the perimeter of the garden

[tex]\Rightarrow P=2(16+12)\\\Rightarrow P=2\times 28\\\Rightarrow P=56\ m[/tex]

Answer:

You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.

Example look at the pic please 7,225 cm = ___ m

Meters are larger than centimeters, so you expect your answer to be less than 7,225.

Using the factor label method, write 7,225 cm as a fraction and use unit fractions to convert it to m.

Cancel similar units, multiply, and simplify.

7,225 centimeters = meters

Answer:

Sample Response: If you move from smaller to larger units, divide by a power of 10 or move the decimal to the left. If you move from larger to smaller units, multiply by a power of 10 or move the decimal to the right.

Answer:

[tex]P =5x-260[/tex]

Step-by-step explanation:

Given

[tex]R = 3x^2 + 4x - 60[/tex] --- Revenue

[tex]C = 3x^2 - x + 200[/tex] --- Cost

Required

The expression for profit (P)

This is calculated as:

[tex]P =R - C[/tex]

So, we have:

[tex]P =3x^2 + 4x - 60 - (3x^2 -x+200)[/tex]

Open bracket

[tex]P =3x^2 + 4x - 60 - 3x^2 +x-200[/tex]

Collect like terms

[tex]P =3x^2 - 3x^2+ 4x +x- 60-200[/tex]

[tex]P =5x-260[/tex]

If the profit is the difference between the revenue and the cost, 5x – 260  expression represents the profit. Correct option is 3.

The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:

Profit (P) = Revenue - Cost

Among the given options:

1. 3x - 260

2. 3x + 140

3. 5x - 260

4. 5x + 140

We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.

Option 3, 5x - 260, fits this pattern:

- Revenue: 5x

- Cost: 260

When we subtract the cost from the revenue:

Profit (P) = Revenue - Cost = 5x - 260

So, option 3, 5x - 260, is the expression that represents the profit.

To know more about profit:

https://brainly.com/question/24093318

#SPJ3

Complete question is:

If the profit is the difference between the revenue and the cost, what expression represents the profit?

1. 3x – 260

2. 3x + 140

3. 5x – 260

4. 5x + 140

Answer and Step-by-step explanation:

The parent function, f(x) = |x|, has no transformations applied to it.

When the number is with the x, it translates the graph horizontally. <->

When the number is outside of the absolute box, it translates the graph vertically. ^ V

When the number is multiply the absolute box on the outside with the x inside, it scales the graph.

So, first lets apply the translations of horizontal and vertical shift.

The graph translated 1 units downwards.

The graph translates 2 units to the right.

g(x) = |x - 2| - 1

We subtract the 2 because that makes it go right, while if we added it would go left.

Now for the scale.

The lines have a slope of [tex]\frac{1}{4}[/tex], so that is what we are multiplying.

g(x) = [tex]\frac{1}{4}[/tex]|x - 2| - 1

^That is your transformed function.

#teamtrees #PAW (Plant And Water)

Answer:

First, we write the augmented matrix.

⎡

⎢

⎣

1

−

1

1

2

3

−

1

3

−

2

−

9

|

8

−

2

9

⎤

⎥

⎦

[1−1123−13−2−9 | 8−29]

Next, we perform row operations to obtain row-echelon form.

−

2

R

1

+

R

2

=

R

2

→

⎡

⎢

⎣

1

−

1

1

0

5

−

3

3

−

2

−

9

|

8

−

18

9

⎤

⎥

⎦

−

3

R

1

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

5

−

3

0

1

−

12

|

8

−

18

−

15

⎤

⎥

⎦

−2R1+R2=R2→[1−1105−33−2−9|8−189]−3R1+R3=R3→[1−1105−301−12|8−18−15]

The easiest way to obtain a 1 in row 2 of column 1 is to interchange

\displaystyle {R}_{2}

R 2

and

\displaystyle {R}_{3}

R 3

.

Interchange

R

2

and

R

3

→

⎡

⎢

⎣

1

−

1

1

8

0

1

−

12

−

15

0

5

−

3

−

18

⎤

⎥

⎦

InterchangeR2andR3→[1−11801−12−1505−3−18]

Then

−

5

R

2

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

1

−

12

0

0

57

|

8

−

15

57

⎤

⎥

⎦

−

1

57

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

1

−

12

0

0

1

|

8

−

15

1

⎤

⎥

⎦

−5R2+R3=R3→[1−1101−120057|8−1557]−157R3=R3→[1−1101−12001|8−151]

The last matrix represents the equivalent system.

x

−

y

+

z

=

8

y

−

12

z

=

−

15

z

=

1

x−y+z=8 y−12z=−15 z=1

Using back-substitution, we obtain the solution as

\displaystyle \left(4,-3,1\right)

(4,−3,1)

Answer:

see below

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = x-7

m = 1

b = -7

y = 4

m=0

b = 4

y = -2x+3

m = -2

b = 3

Answer:

The 18 ounce bottle costs less per ounce and is the better buy

Step-by-step explanation:

First find the cost per ounce for the 18 ounce bottle

1.10 / 18 =.0611111 per ounce

Then find the cost per ounce for the 38 ounce bottle

2.75 / 36 =.076388888

The 18 ounce bottle costs less per ounce

Answer:

A.) Paul

B.) Plain

C.) Paul

Step-by-step explanation:

Paul: Shirt - Striped; Jumper - Spotted; Towel - Plain

Kerry: Shirt - Plain; Jumper - Striped; Towel - Spotted

Sandra: Shirt - Spotted; Jumper - Plain; Towel - Striped

Hope this helps! Have a nice dayy! :)

Answer:

PRQ = 86 degrees

Answer:

D = [tex]\sqrt{\frac{216W}{35L} }[/tex]

Step-by-step explanation:

From the given question, the expression showing the relationship among the weight, length and diameter of the metal bar is;

W [tex]\alpha[/tex] L[tex]D^{2}[/tex]

W = kL[tex]D^{2}[/tex]

where k is the constant of proportionality.

When W = 140, D = 4 and L = 54, then;

140 = k(54)[tex](4)^{2}[/tex]

      = 864k

k = [tex]\frac{140}{864}[/tex]

  = [tex]\frac{35}{216}[/tex]

k = [tex]\frac{35}{216}[/tex]

⇒ W = [tex]\frac{35LD^{2} }{216}[/tex]

So that;

35L[tex]D^{2}[/tex] = 216W

[tex]D^{2}[/tex] = [tex]\frac{216W}{35L}[/tex]

D = [tex]\sqrt{\frac{216W}{35L} }[/tex]

Answer:

Distance rode = 6 miles

Step-by-step explanation:

distance from home = 2 miles

remaining distance =  4 miles

The distance rode = 4 + 2 = 6 miles

Answer:

2

Step-by-step explanation:

When the point on the x-axis is on -3, the point on the y-axis is 2. Therefore, f(-3) is equal to 2.

If this helps please mark as brainliest

Answer:

82 kg

Step-by-step explanation:

To find the mean of a set of values, we must add them up and divide by the number of values.

Step 1, adding the values:

[tex]75+68+78+82+85+90+88+92+76=\\734[/tex]

Step 2, dividing by the # of terms:

There are 9 terms in total.

[tex]\frac{734}{9} =\\81.556[/tex]

To the nearest kilogram, we can round 81.556 into 82.

The mean mass of the 9 men was [tex]\fbox{82}[/tex] kg.

I hope this helps! Let me know if you have any questions :)

Answer:

Girls: 50

Boys: 36

A) 60°

Step-by-step explanation:

86-14=72

72÷2=36

Girls=36+14=50

Boys=36

115+115+70=300

360-300=60°

Answer:

36 boys and 50 girls

the remaining angle measures 60°

Step-by-step explanation:

x = boy count

x + 14 = girl

x + x + 14 = 86

2x + 14 = 86

2x = 72

x = 36

x + 14 = 50

36 boys and 50 girls

the 4 angles of a quadrilateral = 360°

115° + 115° + 70° + x = 360°

300 + x = 360°

x = 360 - 300

x = 60°

The remaining angle measures 60°