how do you solve x2 – 4 = 5 by graphing the related function

Step-by-step explanation:

I just answered this.

the key is that ALL current labels are wrong. not "could be wrong", but "definitely wrong".

you need to pick an apple from the originally "red/green" labeled bag.

since that label is wrong, it must be one of the pure color bags.

so, that bag gets the label for the color that we picked.

now we look at the other 2 bags. they are both wrongly labeled, but there are only 2 options : the second color (which we did not use to label the first bag) and "red/green".

the bag with the color label we just assigned to our first bag must therefore get the second color label (if it were "red/green", it would mean that the third bag was actually correctly labeled, which was not the case), and the bag currently with the second color label is the actual "red/green" bag.

2 tons + 10 pounds = 4,010 pounds

4 tons + 10 pounds = 8,010 pounds

Step-by-step explanation:

2,000 POUNDS EQUALS 1 TON.

a.) 2 tons = 2,000 X 2 = 4,000 pounds

4,000 pounds + 10 pounds = 4,010 pounds

2 tons + 10 pounds = 4,010 pounds

b.) 4 tons = 2,000 X 4 = 8,000 pounds

8,000 pounds + 10 pounds = 8,010 pounds

4 tons + 10 pounds = 8,010

Answer:

i wish i knew im in the same situwantion

Step-by-step explanation:

The true correct statements about the box-and-whiskers plot are:

In a box-and-whiskers plot, the interquartile range (IQR) is a measure of the spread of the data which shows the variability of the data.

Median of a data is the value at the point where the vertical line divides the rectangular box.

Median for Group A is between: 45 and 50

Median time for Group B is: 40.

Therefore, the three statements are:

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Answer:

a) 6.3; b) (2;1).

Step-by-step explanation:

[tex]a) \ |PQ|=\sqrt{(X_P-X_Q)^2+(Y_P-Y_Q)^2}=\sqrt{4+36}=\sqrt{40} =6.3;[/tex]

[tex]b) \ (\frac{X_P+X_Q}{2};\frac{Y_P+Y_Q}{2}); \ = > \ (2;1).[/tex]

The arithmetic sequence has a common difference, and a first term and the 17th term in the arithmetic sequence is -21

The given parameters are:

The nth term of an arithmetic progression is:

Tn = a + (n - 1)d

So, we have:

T17 = a + 16d

Substitute the given values

T17 = 11 - 16 * 2

Evaluate

T17 = -21

Hence, the 17th term in the arithmetic sequence is -21

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Answer:

22 1/2

Step-by-step explanation:

1/4×6=1 1/2

3×7=21

21+1 1/2=22 1/2

Answer as a decimal = 22.5

Answer as a fraction = 45/2

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Explanation:

Replace c with 6, and replace d with 7.

Then use the order of operations (PEMDAS) to simplify until you get a single number.

[tex]\frac{1}{4}c + 3d\\\\\frac{1}{4}(6) + 3(7)\\\\\frac{6}{4} + 21\\\\1.5 + 21\\\\22.5\\\\[/tex]

If you want to convert this to an improper fraction, then,

[tex]22.5 = 22 + 0.5\\\\22.5 = 22 + \frac{1}{2}\\\\22.5 = 22*\frac{2}{2} + \frac{1}{2}\\\\22.5 = \frac{44}{2} + \frac{1}{2}\\\\22.5 = \frac{44+1}{2}\\\\22.5 = \frac{45}{2}\\\\[/tex]

Answer:

takes 40minutes from home to school and to home so the total time is 7:45 hrs,, arrive home at 3:45

Step-by-step explanation:

To cover a rectangular region of her yard, Penny needs at least 217 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?

L=length=15.5 ft; W=width; A=area=>217 sq ft

L*W=>217 sq ft Divide each side by L

W=>217 sq ft/L

W=>217 sq ft/15.5 ft=>14 feet

ANSWER: To cover at least 217 sq ft. the width must be at least 14 feet.

Answer:

  at least 14 ft

Step-by-step explanation:

The area of the rectangular region is the product of its length and width. We are told the area must be at least some value.

  A = LW . . . . . . . . . area formula

  A ≥ 217 ft² . . . . . . . . . given constraint

  (15.5 ft)W ≥ 217 ft² . . . . . . substitute LW for A, use given length

  W ≥ 14 ft . . . . . . . . . . divide by 15.5 ft

The possible width of the region is at least 14 feet.

Answer:

x = 43°

Step-by-step explanation:

In order to find the measure of angle x we'll use Vertical Angles Theorem.

Therefore, the measure of angle x is 43° ✓.

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Answer:

Choice A.

Step-by-step explanation:

y = 10/5 x

becAUSE  10/5 = 2

Answer:

A

Step-by-step explanation:

the equation of proportionality is

y = kx ← k is the constant of proportionality

A

y = [tex]\frac{10}{5}[/tex] x = 2x ← with k = 2

B

y = [tex]\frac{2}{2}[/tex] x = 1x ← with k = 1

C

y = [tex]\frac{2}{4}[/tex] x = [tex]\frac{1}{2}[/tex] x ← with k = [tex]\frac{1}{2}[/tex]

D

y = [tex]\frac{22}{2}[/tex] x = 11x ← with k = 11

The sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We know:

[tex]\rm MOE = Z \times \sqrt{\dfrac{pq}{n}}[/tex]

We have MOE = 0.05, p = 46% = 0.46,

q = 1-p = 1-0.46 = 0.54

Z at 0.02(because 98% level of confidence) = 2.33

Plug this value in the formula we get:

[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.46\times0.54}{n}}[/tex]

After solving:

n = 539.41 ≈ 540

If no estimate is given:

p = 0.5 and q = 0.5

[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.5\times0.5}{n}}[/tex]

n = 542.89 ≈ 543

Thus, the sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.

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Explanation:

Perimeter of the base = 8+10+15+7+23+17 = 80 meters

The 23 is from 8+15 = 23 and it is the length along the back wall, while the 10+7 = 17 is the length along the left side wall. Both the sides of 23 and 17 are hidden from view. The height of 5 meters is not part of the perimeter of the base.

Multiply the perimeter of the base by the height of the building to find the lateral area, aka wall area.

80*5 = 400 square meters

Answer:

[tex]\sf \dfrac{1}{2}[/tex]

Step-by-step explanation:

Results from the slips of paper:

Total slips of paper = 16

[tex]\sf Proportion = \dfrac{part}{whole}[/tex]

[tex]\implies \textsf{Proportion of shoppers who were happy}=\sf \dfrac{8}{16}=\dfrac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

There are 16 responses

There are 8 people who said yes

P( happy) = yes/  total

P(happy) = 8/16 = 1/2

The area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have:

The sides of a triangle measure 12 inches, 17 inches, and 24 inches.

From the formula:

[tex]\rm Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]\rm s = \dfrac{a+b+c}{2}[/tex]

a = 12, b = 17, c = 24 inches

[tex]\rm s = \dfrac{12+17+24}{2} = 26.5[/tex]

Plug all the values in the formula we get:

Area = 95.529 ≈ 95.53 square inches

Thus, the area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.

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Answer:

50 J

Step-by-step explanation:

According to energy conservative law energy can not be destroyed. So as the potential energy has been decreased to 50 J, the decreased amount has become kinetic energy.

100 - 50 = 50

Answer:

14762 ft³

Step-by-step explanation:

Volume of top prism

Volume of bottom prism

Total volume = Volume (top) + Volume (bottom)

The total number of different committees that can be made is:

C = 4,536

If we have a set of N elements, the total number of different subsets of K elements that can be made out of these N is:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

So, the 2 teachers (out of 9) can be selected in:

[tex]C(9, 2) = \frac{9!}{7!*2!} = \frac{9*8}{2} = 36[/tex]

36 different ways.

The 4 students (out of 9) can be selected in:

[tex]C(9, 4) = \frac{9!}{5!*4!} = \frac{9*8*7*6}{4*3*2} = 126[/tex]

126 different ways.

The committee is formed by these two groups, so the total number of different committees that can be made is:

C = 36*126 = 4,536

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Answer:

28815.3333333

Step-by-step explanation:

C. 68°

292° lies on 4th quadrant.

1st quadrant: angle

2nd quadrant: 180° - angle

3rd quadrant: angle - 180°

4th quadrant: 360° - angle

So, reference angle: 360° - 292° = 68°

Answer:

3 m

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} b h \quad\textsf{(where b is the area of the circular base and h is the height)}[/tex]

Given:

[tex]\implies \sf 10=\dfrac{1}{3} \cdot 10 \cdot h[/tex]

[tex]\implies \sf 10=\dfrac{10}{3}h[/tex]

[tex]\implies \sf 30=10h[/tex]

[tex]\implies \sf h=\dfrac{30}{10}=3[/tex]

Answer:

height: 3 meter

Explanation:

[tex]\sf volume : \frac{1}{3} \ x \ base \ area \ x \ height[/tex]

Here given:

Solve:

[tex]\longrightarrow \sf 10 = \frac{1}{3} \ x \ 10 \ x \ h[/tex]

[tex]\longrightarrow \sf 10 = \frac{10}{3} \ x \ h[/tex]

[tex]\longrightarrow \sf \frac{10 \ x \ 3}{10} = h[/tex]

[tex]\longrightarrow \sf 3 = h[/tex]

Using the z-distribution, it is found that the 95% confidence interval is given by:

[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

Hence, the interval is:

[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]

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Answer:

B

Step-by-step explanation:

since domain should be in positive i thinks this should be answer B

Answer:

1744.4

First, remove 13

13 and use length times width times height to get the surface area. 14 x 14 x 8.9

Answer:

see the attachment.

i hope this can help you!

Answer:

The selling price is $3,125

Step-by-step explanation:

25% of 2500 is 2500 x 0.25 = 625

You will be adding the 25% gain to cost price to find the new price

2500 + 625 = 3125

Answer:

3125

Step-by-step explanation:

from the question,

25% simply means 25/100= 0.25

25% of 2500= 0.25×2500= 625

gain= 625

selling price= 625+2500= 3125

Answer:

the temperature in London would be -1 degrees as 5-6=-1