Solve the inequality.

|4x - 1| ≥ 23


I need some help if anyone knows it!

Answer: H. 200

Step-by-step explanation:

The values that used to create the box and whisker plot

[using these values]

Minimum value: Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

Here, we have,

Step 1: Order the data set from smallest to largest:

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

Step 2: Calculate the lower quartile (Q1), median (Q2), and upper quartile (Q3):

Q1 (25th percentile): The value that separates the lowest 25% of the data from the rest. Since we have 10 data points, the first quartile will be the average of the 2.5th and 3.5th data points. In our case, it's the average of the 2nd and 3rd data points:

Q1 = (19 + 28) / 2 = 23.5

Q2 (50th percentile or median): The value that separates the lowest 50% of the data from the rest. Since we have an even number of data points, the median will be the average of the 5th and 6th data points:

Q2 = (34 + 38) / 2 = 36

Q3 (75th percentile): The value that separates the lowest 75% of the data from the rest. Since we have 10 data points, the third quartile will be the average of the 7.5th and 8.5th data points. In our case, it's the average of the 7th and 8th data points:

Q3 = (45 + 47) / 2 = 46

Step 3: Calculate the interquartile range (IQR):

IQR = Q3 - Q1 = 46 - 23.5 = 22.5

Step 4: Determine the whiskers:

Lower whisker: The smallest value that is not smaller than Q1 - 1.5 * IQR

Upper whisker: The largest value that is not larger than Q3 + 1.5 * IQR

Lower whisker limit: 23.5 - 1.5 * 22.5 = -10

Upper whisker limit: 46 + 1.5 * 22.5 = 79.5

Our data points are all within these limits, so the lower whisker is at the smallest value, 12, and the upper whisker is at the largest value, 56.

Now, you can plot the box and whisker plot using these values:

Minimum value : Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

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create a box and whisker plot for the following set of data

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

After 10 years the depreciation value of the vehicle will be $12700.

What is percentage(%)?

A %(percentage) is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.

\(V(t) = V0*(1-rate)^t\)

V(t) is the value at year t (we want t =10 years)

V0 is the starting value = $20,700

rate is the depreciation rate expressed as a decimal = 0.05

t = years = 10

\(V(10) = $20700*(1 - 0.05)^{10}\)

= 20700*(0.95)^10

= 20700*(0.598)

= 12,393.85

= 12,394

therefore after 10 years the vehicle will cost $12700.

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Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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Answer:44÷58+44

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

I'm assuming this is what the question means, so basically every 4/125 discs are defective, and 125 fits into 2000, 16 times so you multiply 4/125*16/16 so you get 64/2000.hope this helps

The graph of the function extends on both side of y-axis, shown by the arrow head on the curve.

Thus, the domain of the function is the whole real number.

The sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

To prove that m∠D + m∠F = 180∘, we can use the property of angles inscribed in a circle.

In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Therefore, if we can show that arc DE + arc FG = 360∘, we can conclude that m∠D + m∠F = 180∘.

Let's start the proof:

1. Quadrilateral DEFG is inscribed in circle P. This means that all the vertices of the quadrilateral lie on the circumference of the circle.

2. Let's consider arc DE and arc FG. These arcs are intercepted by angles ∠D and ∠F, respectively.

3. By the property of angles inscribed in a circle, we know that the measure of an inscribed angle is equal to half the measure of its intercepted arc.

4. Therefore, m∠D = 1/2(arc DE) and m∠F = 1/2(arc FG).

5. We want to prove that m∠D + m∠F = 180∘. This is equivalent to showing that 1/2(arc DE) + 1/2(arc FG) = 180∘.

6. Combining the fractions, we have 1/2(arc DE + arc FG) = 180∘.

7. Now, we need to show that arc DE + arc FG = 360∘.

8. Since quadrilateral DEFG is inscribed in circle P, the sum of the measures of all the arcs intercepted by the sides of the quadrilateral is equal to 360∘.

9. This means that arc DE + arc EF + arc FG + arc GD = 360∘.

10. However, we can observe that arc EF and arc GD are opposite sides of the same chord, so they have equal measures. Therefore, arc EF = arc GD.

11. Substituting arc GD with arc EF in the equation from step 9, we have arc DE + arc EF + arc FG + arc EF = 360∘.

12. Simplifying the equation, we get 2(arc DE + arc EF + arc FG) = 360∘.

13. Dividing both sides by 2, we have arc DE + arc EF + arc FG = 180∘.

14. Comparing this result with step 7, we can conclude that arc DE + arc FG = 180∘.

15. Finally, going back to our initial goal, we can now substitute arc DE + arc FG with 180∘ in the equation from step 6: 1/2(180∘) = 180∘.

16. Simplifying, we have 90∘ = 180∘, which is a true statement.

17. Therefore, we have proven that m∠D + m∠F = 180∘.

Thus, we have successfully proved that the sum of angles ∠D and ∠F in quadrilateral DEFG, inscribed in circle P, is equal to 180∘.

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Answer: a=101 b=79 c=83 d=97

Answer:

would'nt the change be the amount of how deep the full one is?

Answer:29.15

Step-by-step explanation:

You just divide 21.20 by 8 then multiply

Answer:

ADFGH

Step-by-step explanation:

Good luck on your test!

The numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.

A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth. Now, we may also apply the so-called prime factorization, which actually involves using factor trees, for numbers.

The numbers having the prime factors 7, 13 and 3 are 1,092,819,1,365,273, and 546. Because all the numbers are completely divisible by the numbers 7, 13, and 3.

Therefore, the numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.

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Answer:

\(\frac{6r}{s}\)

Step-by-step explanation:

#1

No

See in first one the angle included is in between the two similar sides( corresponding to other triangle)

In second one the angle marked is not between the corresponding similar sides .

So not congruent

#2

Yes

Three angles of both are equal

#3

Yes

#4

Yes

The exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)

From the question, we have the following parameters that can be used in our computation:

t    f(t)

0    100

1     50

2     25

From the above, we have the following

Initial value, a = 100

Rate, b = 50/100

Evaluate

b = 0.5

The function is represented as

\(f(t) =ab^t\)

So, we have

\(f(t) =100(0.5)^t\)

Hence, the exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)

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Answer: I will help you once you add a graph in the comments of this post

Step-by-step explanation:

Answer:

22.05 pounds

Step-by-step explanation:

First, find the total mass in Kg.

We have four bags and they each weigh 2.5 Kg. Multiply the amount of bags by the weight of each bag. 4 bags x 2.5 Kg = 10 Kg of Cat food

Now, to convert from Kgs to Lbs, multiply the total weight by 2.205 (since one Kg is about 2.205 lbs)

10 Kg x 2.205 = 22.05 Lbs

That's a good amount of food for any cat

Answer: Barry's Swimwear sold a greater fraction of the bathing suits in stock as long as the store had fewer than 72 bathing suits in stock.

Step-by-step explanation:

Barry's Swimwear sold 15 out of an unknown number of bathing suits in stock, so we can express this fraction as 15/x, where x is the total number of bathing suits in stock at Barry's Swimwear. Similarly, Philip's Sun Wear sold 5 out of 72 bathing suits in stock, so we can express this fraction as 5/72.

To compare these two fractions, we need to express them with a common denominator. One way to do this is to find the least common multiple of the two denominators, which in this case is 72. To express 15/x with a denominator of 72, we can multiply both the numerator and the denominator by a factor of 72/x. This results in the fraction 15*(72/x)/72 = 15/x. Similarly, we can express 5/72 with a denominator of 72 by multiplying both the numerator and the denominator by a factor of 72/72, which results in the fraction 5*(72/72)/72 = 5/72.

Now that we have both fractions expressed with a common denominator of 72, we can compare them directly. 15/x is greater than 5/72 as long as x is less than 72. This means that Barry's Swimwear sold a greater fraction of the bathing suits in stock as long as the store had fewer than 72 bathing suits in stock.

I am not entirely sure but the answer should be 6^8

you will want to start by applying the exponent rule, (a^b)^c = a^bc

for this specific problem, it would look like this:

(6^2)^4 = 6^2x4

next you will multiply the exponents

2x4 = 8

Therefor, the answer would be 6^8

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

This is how to solve it, I believe this is correct. If you need a better understanding, let me know.

The confidence interval in the form p+E is p ± E = 0.7725 ±0.435

The confidence interval is given as:

0.555< p < 0.99

To rewrite the above expression in the form p+E, we use the following equations

p = (0.99 + 0.555)/2 = 0.7725

E = (0.99 - 0.555) = 0.435

So, we have:

p ± E = 0.7725 ±0.435

Hence, the confidence interval in the form p+E is p ± E = 0.7725 ±0.435

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The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

the picture does not fit to the text.

1.

a. 5, 8, 11, 14, 17

the rule here is clearly to add a constant 3 with the creation of a new term.

t(n) = 5 + 3(n - 1)

so, it is an arithmetic sequence.

b. 64, 16, 4, 1

the rule here is clearly to divide by a constant 4 (or multiply by 1/4) when a new term is created.

t(n) = 64/4^(n - 1)

so, it is a geometric sequence.

c. 7, 9, 13, 19, 27

the rule here is that there is a steadily increasing term added with the creation of a new term.

t(n) = t(n - 1) + (t(n - 1) - t(n - 2) + 2)

so, this is neither.

d. 3, 18, 108, 648

the rule is here to multiply by a constant 6 when a new term is created.

t(n) = 3 × 6^(n - 1)

so, this is a geometric sequence.

4.

she is using the ratio 8/3 for the new, larger amount.

for 3 dozen we get therefore 3×8/3 = 8 dozen.

so, she needs

16 × 8/3 = 128/3 = 42.666666666... ≈ 43 oz

of chocolate chips

Answer:

\(y =\frac{x}{4}\)

Step-by-step explanation:

We are given several functions, and we want to figure out which one is linear.

A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.

Let's go through the list.

Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.

Even though y has a power of 1, this is NOT linear, because x has a power of -1.

Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.

For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.

This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.

This means that \(y=\frac{x}{4}\) is linear.