What is the equation of a line passing through points (1, 2) and (3, 8)?
A.
y = x + 5
B.
y = 1

3 x – 1
C.
y = 3x – 1
D.
y = 1

5 x – 1
E.
y = x + 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

As we know, Area of a square can be represented as :

[tex]\qquad \sf  \dashrightarrow \:area = side {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:a = s {}^{2} [/tex]

now, we have been given that area of a particular square is 16 square feet. so, let's calculate its sides

[tex]\qquad \sf  \dashrightarrow \:s {}^{2} = 17[/tex]

[tex]\qquad \sf  \dashrightarrow \:s = \sqrt{17} [/tex]

[tex]\qquad \sf  \dashrightarrow \:s \approx4.12 [/tex]

so, the closest value is : B. 4.1 feet

Using the normal distribution, it is found that about 81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 142, \sigma = 32[/tex].

Th proportion of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day is the p-value of Z when X = 174 subtracted by the p-value of Z when X = 78, hence:

X = 174:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{174 - 142}{32}[/tex]

Z = 1

Z = 1 has a p-value of 0.841.

X = 78:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{78 - 142}{32}[/tex]

Z = -2

Z = -2 has a p-value of 0.023.

0.841 - 0.023 = 0.818 = 81.8%.

81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.

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There are 20 possible different combination of meals

The given parameters are:

Drinks = 4

Main dishes = 5

The number of different meals is calculated as:

Meals = Drinks * Main dishes

So, we have:

Meals = 4 * 5

Evaluate

Meals = 20

Hence, there are 20 possible different combination of meals

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Answer:

Range & Isabella

Step-by-step explanation:

Part A:

Definitely not range mean or median, as that'll give you their average, not consistency.  None of their tables show any repeating values, so not mode either, and range would be the most hopeful for this.

Part B:

The results with the smallest range would be the most consistent:

Charles:
Lowest value = 39 and Highest Value = 57
Range = 57-39 = 18

Isabella:
Lowest value = 62 and Highest value = 71
Range = 71-62 = 9

Naomi:
Lowest value = 61 and Highest value = 94
Range = 94-61 = 33

Isabella achieved the most consistent results.  Hope this helps

Answer:

4cm

Step-by-step explanation:

sin(30) = 2/x (using trigonometry)

rearrange for x to give x = 2/sin(30)

then x = 4cm (using calculator)

SIMILARLY:

You can use 2/cos(60) to also give 4cm

Answer:

25

Step-by-step explanation:

..............

Answer:

126

Step-by-step explanation:

Answer:

the answer us 140

Step-by-step explanation:

the answer is 140 because if you add them all the answer will come 140 but if we divide it or multiply it the answer will not come so the answer is 140

Answer:

164 cm^2

Step-by-step explanation:

Total surface area = 2 * area of triangle + areas of the 3 rectangles

= 2 * 1/2 * 5 * 4 + 5 * 9 + 5 * 9 + 6 * 9

=  20 + 45 + 45 + 54

= 164 cm^2

Answer:  60

8 + 92 = 100

4 × 10 = 40

100 + 40 = 60

Answer:

[tex]60[/tex]

Step-by-step explanation:

[tex](8 + 92) - 4 \times 10[/tex]

[tex]100 - 4 \times 10[/tex]

[tex]100 - 40[/tex]

[tex]60[/tex]

Hope this helps!

Answer:

[tex]\log_3(27)=x[/tex]

Step-by-step explanation:

[tex]a^x=b[/tex] is equivalent to [tex]\log_a(b)=x[/tex] in logarithmic form, so [tex]3^x=27[/tex] is equivalent to [tex]\log_3(27)=x[/tex]

Answer:

Step-by-step explanation:

The dot plot with the least variability will be C.

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.

The dot plot with the least variability will be C.

The graph is given below.

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Hey ! there

Answer:

Step-by-step explanation:

In this question we are given area of rectangle that is 60 inches square and its breadth is 5 inch . We are asked to find the length of breadth in ft .

SOLUTION : -

For changing " in " into " ft " we need to divide the given inch value by 12. So Dividing 5 inches by 12 :

[tex] \quad \dashrightarrow \qquad \: \dfrac{5}{12} [/tex]

We get :

[tex]\quad \dashrightarrow \qquad \: \purple{\underline{\boxed{\frak{0.416 \: ft}}}} \quad \bigstar[/tex]

Answer:

45 ft²

Step-by-step explanation:

Logo 2 comprises 5 congruent squares with side length 1/2 in

Given scale:  1 in = 6 ft

⇒ 1/2 in = 3 ft

Area of a square = s²  (where s is the side length)

⇒ area of one of the squares of logo 2 = (3 ft)² = 9 ft²

Therefore, the total area is:

⇒ area = 5 × 9 ft² = 45 ft²

In equation form:

A = 5(6s)²

where:

Answer: 100

Step-by-step explanation:

▪︎ To find the mean we take the sum of the values and divide it by the number of values.

▪︎ Let x be your score on the second exam.

(84 + x) / 2 = 92

84 + x = 92*2

84 + x = 184

x = 100

Answer:

This problem gives us the total amount of cans and it also gives us the total cost and asks us to find the cost of each can when every can costs the same amount.  To do this we need to $ to be on the top and the can on the bottom because we say price PER can.

[tex]\frac{total\ price}{total\ amount\ of\ cans}[/tex]

[tex]\frac{\$27.80}{10\ cans}[/tex]

[tex]\$2.78\ per\ can[/tex]

Therefore, our final answer is that each can costs $2.78

Hope this helps!  Let me know if you have any questions

Answer:

a. is not proportional and b. is proportional

Step-by-step explanation:

a. constant is 1 and b. constant is -2

Answer:

  $0.88/lb

Step-by-step explanation:

The end result of this units conversion is found by multiplying the fractions in the usual way. The numerator is the product of the numerators; the denominator is the product of the denominators. Of course, the division must be carried to completion to arrive at the unit price.

__

  [tex]=\dfrac{26.29\times0.074\times1}{1\times1\times2.2}\ \dfrac{\text{dollars}}{\text{lb}}=\dfrac{1.94546}{2.2}\ \dfrac{\text{dollars}}{\text{lb}}\approx\boxed{0.88\ \dfrac{\text{dollars}}{\text{lb}}}[/tex]

Using the concept of a proportional relationship, it is found that the correct option regarding the graph is given by:

No, it is not a proportional relationship because the graph does not go through the origin.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

From the equation above, the first step is that in a proportional relationship, the map must go through the origin, that is, it must pass through the point (0,0). In this problem, it does not passes through the origin, as it passes in (0,2), hence the correct option is given by:

No, it is not a proportional relationship because the graph does not go through the origin.

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Answer:

3.5 Is the answer, this is dialation

Answer:

x = 28

Step-by-step explanation:

Since none of the current side values of Triangle 1 can be increased by the same values to represent Triangle 2, we have to divide the values of Triangle 1 by half.

T1 S1: 10 / 2 = 5

T1 S2: 8 / 2 = 4

T1 S3: 12 / 2 = 6

Now in order to find out the value that you need to multiply these sides by, you need to divide Triangle 2's values by Triangle 1's simplified side values.

T2 S1: 35 / 5 = 7

T2 S2: x / 4 = ?

T2 S3: 42 / 6 = 7

Triangle 2's Side 1 becomes 7 and Triangle 2's Side 2 becomes 7 as well. Because the value of x is unknown and both Triangle's sides seem to be the same value of 7, you can safely assume that Triangle 2's Side 2 will also have a value of 7.

x / 4 = 7

x = 7(4)

x = 28

Answer:

2 pounds (lbs)

Step-by-step explanation:

Answer:

[tex]6 {x}^{2} - 5x - 4[/tex]

Step-by-step explanation:

[tex](2 {x}^{2} - 3x + 1) + (4 {x}^{2} - 2x - 5) = \\ 2 {x}^{2} + 4 {x}^{2} - 3x - 2x + 1 - 5 = \\ 6 {x}^{2} - 5x - 4 [/tex]

Answer:

B

Step-by-step explanation:

topic: polynomials

Just add like terms

Answer:

false

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

2×sqrt(48) - (2 + sqrt(12))(5 - sqrt(12))

2×sqrt(16×3) - (2 + sqrt(4×3))(5 - sqrt(4×3))

2×4×sqrt(3) - (2 + 2×sqrt(3))(5 - 2×sqrt(3))

8×sqrt(3) - (10 - 4×sqrt(3) + 10×sqrt(3) - 4×3)

8×sqrt(3) - 10 - 6×sqrt(3) + 12

2×sqrt(3) + 2

Answer:

c. 90 cm³

Step-by-step explanation:

Formula applied :

Volume (triangular prism) = Base × Height

Solving :

⇒ Volume = 9 cm² x 10 cm

⇒ Volume = 90 cm³

The answer option is c

Answer:

c.  90 cm³

Step-by-step explanation:

Formula

Volume of a right prism = area of base × height

Given:

Substitute the given values into the formula:

⇒ Volume = 9 cm² × 10 cm

                  = 90 cm³

Answer:

Total Ratio = 2+4

=6

Striped blankets = 2/6 × 12

= 4 Striped Blankets

Step-by-step explanation:

Can't really explain

Answer:

There are 32 marbles. 11 are red. So odds of a red on the first are 11/32.

Now there are 31 marbles left. 10 are red. So odds of a red on the second is 10/31.

Probability both are red, just multiply …. 11/32x 10/31 = 110/992 or 0.111.

Answer:

3.15 lbs or 50.4 oz

Step-by-step explanation:

multiply steak oz by the number of steaks

7.2 * 7 = 50.4

to convert oz to lbs divide by 16

50.4/16 = 3.15

your answer is 50.4 oz or 3.15 lbs

hope this helps:)