25.) Select ALL of the numbers that are a solution set to the inequality.Graph the solution and select all the numbers that belongs to the shaded region.5 – 4x < 17-5-4-3-2-1

Answer: I think it was $1.15

Step-by-step explanation:

Answer:

approximately $24.60

Step-by-step explanation:

In order to find how much Lucas pays total, you would multiply the price per gallon ($2.09) by the gallons of gas (12.28), but this problem asks for an approximation, so you would just round both numbers to a reasonable number that is easier to multiply:

$2.09 --> $2

12.28 --> 12.3

$2 and 12.3 are relatively easy to multiply, and if you find their product, you will get $24.60, so he pays approximately $24.60 for gas.

Answer:

$20.52

Step-by-step explanation:

19 × 8% = 1.52

1.52 + 19 = $20.52

Answer:

\(\boxed{y = 4x + 7}\)

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

where m is the slope and b the y-intercept

To find the slope, take the two points, find the difference in y values and divide by the corresponding difference in x values

Two points are \((- 1, 3)\) and \((- 2, -1)\)

Difference in y values \(= -1 -3 = -4\)

Difference in corresponding x values \(= -2 - (-1) = -2 + 1 = -1\)

Slope

 \(m = \dfrac{-4}{-1} = 4\)

So the equation of the line is of the form
\(y = 4x + b\)

To find b, take the coordinates of any of the two points and plug the x and y values into the above equation and solve for b

Let's take point (-1, 3)

Plug in values:

\(3 = -4 + b\\\\3+4 = b\\ \\b = 7\)

Therefore the equation of the line is
\(\boxed{y = 4x + 7}\)

So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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Answer:

x=84°

Step-by-step explanation:

The sum of interior angles in pentagon is 540°

x+131+108+107+110=540°

x+456=540°

x=540-456

x=84°

Hope this answers your question!! :)

Answer:what were the anwsers

Step-by-step explanation:

Answer:

The maintained speed while hiking= 3 miles per hour

Let t be the time which represent the independent variable.

Also we know that  Distance= Speed × Time

⇒ Distance traveled while hiking=3 ×t=3t

Let h represent the distance function in miles, and h(t) the dependent variable.

Then h(t)=3t

When we put t=4

Then h(4)=3×4 =12 miles.

Step-by-step explanation:

Answer:

Okayyy then...........

Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

Answer:

52 times

Step-by-step explanation:

Given

\(n = 78\) -- Number of times

Required

Determine the expected times to get > 2.

In a fair dice, the outcome > 2 are:

\(>2 = \{3,4,5,6\}\)

The probability of the above is:

\(p = \frac{4}{6}\)

\(p = \frac{2}{3}\)

The number of times is calculated using:

\(E(x) = n * p\)

\(E(x) = 78* \frac{2}{3}\)

\(E(x) = \frac{78* 2}{3}\)

\(E(x) = \frac{156}{3}\)

\(E(x) = 52\)

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

We have,

To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.

In the given triangle, the height is 6 ft and the base is 16 ft.

The angle we want to find is opposite the height (let's call it θ).

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

sin(θ) = opposite/hypotenuse

sin(θ) = 6/16

sin(θ) = 0.375

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:

θ = arcsin(0.375)

θ ≈ 22.62°

To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:

22.62° - 18° ≈ 4.62°

Thus,

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

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As the degrees of freedom increase, the Chi-square distribution becomes less skewed.

Option C is the correct answer.

We have,

The Chi-square distribution is a probability distribution that is commonly used in statistics.

It is often used in hypothesis testing and in constructing confidence intervals for population variances.

The shape of the Chi-square distribution depends on the degrees of freedom (df). The degrees of freedom represent the number of independent pieces of information used to estimate a parameter or make an inference.

When the degrees of freedom are small, such as 1 or 2, the Chi-square distribution is highly skewed to the right.

This means that the distribution has a long tail on the right side and is concentrated toward the lower values.

However, as the degrees of freedom increase, the Chi-square distribution becomes less skewed.

The distribution becomes more symmetrical and approaches a bell shape, similar to the shape of a normal distribution. This means that the values are more evenly spread out and there is less concentration towards the lower values.

Therefore,

As the degrees of freedom increase, the Chi-square distribution becomes less skewed.

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The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:

Step 1: Divide the coefficient of x by 2 and square the result.

  (Coefficient of x) / 2 = -28/2 = -14

  (-14)² = 196

Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.

  g(x) = 4x² - 28x + 49

  = 4x² - 28x + 196 - 196 + 49

Step 3: Rearrange the terms and factor the perfect square trinomial.

  g(x) = (4x² - 28x + 196) - 196 + 49

  = 4(x² - 7x + 49) - 147

  = 4(x² - 7x + 49) - 147

Step 4: Write the perfect square trinomial as the square of a binomial.

  g(x) = 4(x - 7/2)² - 147

Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

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The probable question may be:

Rewrite the function by completing the square.

g(x)=4x²-28x +49

g(x)= ____  (x+___ )²+____.

If the diameter of a cylindrical water tank is 8ft, and its height is 6ft, the volume of the water tank is approximately 302 cubic feet.

To find the volume of the cylindrical water tank, we need to use the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. Since we are given the diameter of the tank, which is 8ft, we can find the radius by dividing it by 2. Thus, the radius of the tank is 4ft. The height is given as 6ft.

Substituting these values into the formula, we get:

V = π(4ft)²(6ft)

V = π(16ft²)(6ft)

V = 96π ft³

Now we can approximate this volume by using the value of π as 3.14 and rounding the answer to the nearest whole number.

V ≈ 96(3.14) = 302.4

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Answer:

12

Step-by-step explanation:

The value of the missing side lengths x and y are 5√2 and 5 respectively.

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

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we want to find the number of hours (or rather days) until only 4.25% of the drives fail.

that means for an exponential distribution we have

P(X < x) = 1 - e^(-Lx)

L = 1/mean = 1/12500

and we need to find x, so that P(X <x) = 0.0425 (that is 4.25% converted into a probability).

so, we get

0.0425 = 1 - e^(-x/12500)

0.0425 - 1 = -e^(-x/12500)

-0.9575 = -e^(-x/12500)

0.9575 = e^(‐x/12500)

ln(0.9575) = -x/12500

-x = ln(0.9575)×12500

x = -ln(0.9575)×12500 = - -0.043429558...×12500 =

= 0.043429558...×12500 = 542.8694741... hours

after 542.8694741... hours = 22.61956142... days

it is expected that 4.25% of the hard drives fail.

you left out to what decimal this should be rounded. and if you need hours or days. in case of doubt use hours (as the only other time information is given in hours).

please round yourself as you need.

Answer:

Step-by-step explanation:

6x4=24+1=25 75/25=3 .

oh and btw go back to high school

12 pieces ! ( > < )

for future reference, this will be a lot easier to do than using points !! so simple :))

use your calculator to divide the large number by the small number !! that should give your answer

and remember if a fraction is out of four think of it like quarters or 25 cents :3

so 75 divided by 6.25 is 12 !!

good job !!! ♡♡

Midpoint formula: (x1 + x2)/2 , (y1 + y2)/2

Midpoint AB = (3 +-5)/2, (3 + 7)/2 = -2/2 , 10/2 = (-1,5)

Midpoint CD = (2 +9)/2, (11 + -2)/2 = (11/2,9/2)

Answer:

?

Step-by-step explanation:

Since the result is negative, we can say that the price of the vase decreased by 37.5%. Rounding to a whole number, the percent change is 38% (since a 37.5% decrease is approximately equal to a 38% decrease).

Percent (often symbolized as "%") is a way of expressing a fraction or a portion of something in terms of hundredths. It is used to describe the relationship between a part and a whole, with the whole being represented by 100%. Percentages are commonly used in many areas of life, such as finance, business, and statistics. They can be used to describe changes in values over time, to compare different quantities or amounts, or to express probabilities or frequencies.

Here,

The percent change in the price of the vase can be calculated using the formula:

percent change = (new price - old price) / old price x 100%

In this case, the old price of the vase was $80 and the new price is $50. Substituting these values into the formula, we get:

percent change = ($50 - $80) / $80 x 100%

percent change = -0.375 x 100%

percent change = -37.5%

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Answer: m∠GHK=80.5,

m∠KHJ=80.5

Step-by-step explanation:

Answer:

I would say both GHK and JHK equal 80.5 degrees. (if it is allowed with decimals).  

Step-by-step explanation:

Bisectors are lines that basically cut an angle in half. Since JHG is the whole angle, the bisector, HK, halves it. So, both GHK and KHJ should be the same, since they both are half of the original angle. As a result, 161 divided by 2 is 80.5 degrees.

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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Answer:

14

Step-by-step explanation:

2^3=8

6^1=6

8+6=14

Answer:

2^3+6^1

8+6

14

Step-by-step explanation:

2^3 can be expanded to 2x2x2 which equals 8

6^1 can be expanded to 6x1 which is 6

2^3+6^1 can be simplified to to 8+6

8+6 is 14

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Based on the information, EFH and GHF does not have to be congruent.

Congruents angles are presented in the figure below. Congruent angles are angles that have the same measure or size. When two angles are congruent, they look exactly the same, even if they are in different orientations.

The symbol used to represent congruence is an equals sign with a tilde above it, like this: ≅. For example, if angle A and angle B have the same measure, we can write it as:

angle A ≅ angle B

Congruent angles play an important role in geometry because they allow us to compare and analyze different shapes and figures. In particular, when two angles are congruent, we can use this fact to make conclusions about other angles and sides of a shape.

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In circle O shown, points E, F, G, and H lie on the circle asshown and chords FH and GE intersect at J. Based on thisinformation alone, which two angles below do not have tobe congruent?m(1) angle FJE and angle HJG(2) angle EFH and angle HGE(3) angle EFH and angle GHF(4) angle FEG and angle FHG

Answer:

119 cm^2.

Step-by-step explanation:

Perimeter = 2(L + W)       where L = length and W = the width.

L = W+10 (given).

So substituting the given values:

48 = 2(L + W)

48 = 2(W+10 + W)

2(2W + 10) = 48

2W + 10 = 48/2 = 24

2W = 24 - 10 = 14

W = 7 cm.

So L = 17 cm.

Area = 7 * 17

= 119 cm^2.

Answer:

There is 9 photos in each page

Step-by-step explanation:

because all you have to do is 72 divided by 8 and u get the answer

For the system of equations, there are infinitely many solutions exist.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The system of equations are,

⇒ - 2x + 2y = 10  .. (i)

⇒ y = x + 5  .. (ii)

Here, From (i) equation,

⇒ - 2x + 2y = 10

Take 2 as common,

⇒ 2 (- x + y) = 10

⇒ - x + y = 5

⇒ y = x + 5

Which is same as equation (ii).

Hence, There are infinitely many solutions exist.

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