Solve the inequalities -150x ≥ − 2,400 and -336 ≥ − 21y.
x<

y >

Answer: The value 10 represents the child's initial value before the weeks started.

Step-by-step explanation: The equation is f(w) = mx + b, where b is the inital value. 10 is the b value.

molly 258 joseph 259 Diana 262

Step-by-step explanation: oh and this reminds me of Dora

beans rice Jesus christ and Biran

The quotient of (x⁴ + 5x³ – 3x – 15) and (x³ – 3) is a polynomial f(x) = x⁷ + 5x⁶ - 6x⁴ - 30x³ + 9x + 45

An equation is an expression that shows the relationship between two or more variables and numbers.

The quotient of (x⁴ + 5x³ – 3x – 15) and (x³ – 3) is a polynomial. Let f(x) represent the polynomial, hence:

f(x) = (x⁴ + 5x³ – 3x – 15)(x³ – 3)

f(x) = x⁷ + 5x⁶ - 3x⁴ - 15x³ - 3x⁴ - 15x³ + 9x + 45

f(x) = x⁷ + 5x⁶ - 6x⁴ - 30x³ + 9x + 45

The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36

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Answer:

C x+5

Step-by-step explanation:

used m a t h w a y to check and the answer above is wrong, i got it wrong on edge 2022 (also i had to spread the letters out for m a t h w a y) bc otherwise it won't let me post it. Another thing you can use is symbolab, slader, chegg, etc.

Answer:

x = 62

Step-by-step explanation:

the angle between a tangent and the radius at the point of contact = 90°

then Δ PTO is right

the sum of the 3 angles in the triangle = 180° , so

x = 180 - 90 - 28 = 180 - 118 = 62

Answer:

Step-by-step explanation:

TP is a tangent to the circle at centre O

means

TP is perpendicular to TO

Then

m∠OTP = 90°

Then

OTP is a right triangle

Then

x = 90 - 28

  = 62

The value of cos(z), when the sides of the triangle are WX is 6, XY is 8 and WY is 10, is 0.8.

In a right angle triangle, the ratio of the opposite side to the base side is equal the tangent angle made opposite to the opposite side.

[tex]\tan \theta =\dfrac{b}{a}[/tex]

Here, (b) is the opposite side, (a) is the base side.

The two similar right angle triangle are shown in the image in which  WX=6, XY=8, WY=10.

For the similar triangle, the ratio of two sides of a triangle is equal to the ratio of corresponding sides of the other triangle. Thus,

[tex]\dfrac{YZ}{WY}=\dfrac{XY}{WX}\\\dfrac{YZ}{10}=\dfrac{8}{6}\\YZ=\dfrac{8}{6}\times10\\YZ=13.33[/tex]

By the right angle property,

[tex]\tan Z=\dfrac{WY}{YZ}\\Z=\tan^{-1}( \dfrac{10}{13.33})\\Z=36.9^o[/tex]

The value of cos(Z) is,

[tex]\cos Z=\cos 36.9\\\cos Z=0.8[/tex]

Thus, the value of cos(z), when the sides of the triangle are WX is 6, XY is 8 and WY is 10, is 0.8.

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Answer:

8^x +3

Step-by-step explanation:

Always take index for fasting growth rate

Answer:

.093

Step-by-step explanation:

do

1.00-0.07

the probability that the light bulb will still be working after 1000 hours of use is 0.93 (or 93%).

To find the probability that the light bulb will still be working after 1000 hours of use, we can use the fact that the sum of the probabilities of all possible outcomes must be equal to 1.

Given that the probability of the light bulb failing after 1000 hours of use is 0.07, the probability of it still working after 1000 hours is:

Probability of the light bulb working after 1000 hours = 1 - Probability of the light bulb failing after 1000 hours

Probability of the light bulb working after 1000 hours = 1 - 0.07

Probability of the light bulb working after 1000 hours = 0.93

So, the probability that the light bulb will still be working after 1000 hours of use is 0.93 (or 93%).

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Answer:

The domain is all real numbers, x, such that x ≤ 4/3.

The range is all real numbers, y, such that y ≥ 0.

Step-by-step explanation:

The domain is the set of values that can be substituted for x.

The expression inside the square root cannot be negative; therefore, it must be zero or positive.

4 - 3x ≥ 0

-3x ≥ -4

x ≤ 4/3

The domain is: x ≤ 4/3

The range is the set of value that can be substituted for y.

When all numbers of the domain are used for x, and then the square root is taken, the smallest value that the square root can have is zero. Therefore, y can be all real numbers greater than or equal to 0.

The range is: y ≥ 0

If the frequency of the sound wave is 2π/3, then the time period of the sound wave will be 0.447 seconds. Then the amplitude is 14.

The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.

The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.

A sound wave is modeled with the equation y = 14 cos (2π/3) θ.

The frequency of the sound wave will be

[tex]f = \dfrac{2\pi}{3}[/tex]

Then the time period will be

[tex]T = \dfrac{1}{f}\\\\T = \dfrac{1}{2\pi /3}\\\\T = \dfrac{3}{2\pi}\\\\T = 0.477 \ \rm seconds[/tex]

Then the amplitude of the sound wave will be

A = 14

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The surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.

Surface area of cube is the sum of the area of each face by which it is enclosed. The surface area of cube can be calculated with the following formula;

[tex]A=6a^2[/tex]

Here, (a) is the length of side of the cube.

You want to stain the lateral faces of the wooden chest shown. Find the area that you want to stain in square inches.

A cube-shaped wooden chest with side edges of 4 feet. Thus the surface area of it is,

[tex]A=6a^2\\A=6(4)^2\\A=96\rm\; ft^2[/tex]

Thus, the surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.

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Answer:

Option 4

Step-by-step explanation:

Group B, because seven children have a forearm length longer than 10 inches.

Additional verification :

Finding average forearm length of Group A :

Finding average forearm length of Group B :

Group B clearly has the longer forearm length.

The 140% of the number 25 will be equal to 35. We will calculate it by the concept of percentage.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Here we need to find out 140% of what number is 35

Suppose that number is x so the equation will be

[tex]140\%\times x=35\\\\\\\dfrac{140}{100}\times x=35\\\\\\x=\dfrac{35\times 100}{140}\\\\\\x=25[/tex]

Hence % of the number 25 will be equal to 35. We will calculate it by the concept of percentage.

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Answer:

.6

Step-by-step explanation:

60/100 = .6

60 jiffies is 60% of 1 second

Answer:

0.6 seconds in 60 jiffies.

Step-by-step explanation:

If there are one hundred jiffies in a second, then all we need to do is multiply one second by 0.60, since one jiffy is one 100th of a second. And well, since one times anything is that number, well, our answer is 0.6

Answer:

The length of the ladder is about 34.1 feet.

Step-by-step explanation:

cos(62°) = 16/h

h cos(62°) = 16

h = 16/cos(62°) = 34.1 feet

Answer:

[tex] \frac{ {x} + 9}{x - 4} [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{2} + 5x - 36}{ {x}^{2} - 16} \\ \\ = \frac{ {x}^{2} + 9x - 4x- 36}{ {x}^{2} - {(4)}^{2} } \\ \\ = \frac{ x({x} + 9) - 4(x + 9)}{ (x + 4)(x - 4) } \\ \\ = \frac{ ({x} + 9) \cancel{(x - 4)}}{ \cancel{(x + 4)}(x - 4) } \\ \\ = \frac{ {x} + 9}{x - 4} [/tex]

Explanation:

Pick any term and subtract off the previous one to get the common difference.

For instance, let's say we picked 11

11-6 = 5

Or we could pick 6

6-1 = 5

Each time we get 5 as the common difference. It says that to get each next term, we add on 5.

Answer:

x²-16

Step-by-step explanation:

x²-16 =0

Add 16 to both sides

x²-16 + 16 = 0 + 16

Simplify

x²= 16

For x²=(fa) the solutions are x = √(fa), -√(fa)

X=√16 ,X= -√16

√16=4

-√16 = -4

x=4, x= -4

FALSE

The distributive property comes in handy when we see an expression such as the following: 5(x + 3). This is because the 5 needs to be distributed to both the x and the 3.

For the given expression, combining like terms would be the next step because 2y and 6y can be added together.

Hope this helps!

Randomization is important to ensure that both groups are roughly equivalent regarding students’ preparedness, anxiety levels, and study skills.

Randomization is when subjects in an experiment are placed in either the control group or the treatment group without any structure. They are placed in either groups randomly. The purpose of randomization is to ensure that subjects in either group are homogenous.

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Answer:

(a)  As time increases, the amount of water in the pool increases.

     11 gallons per minute

(b)  65 gallons

Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate.  Therefore, this can be modeled as a linear function.  

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

Choose 2 ordered pairs from the table:

[tex]\textsf{let}\:(x_1,y_1)=(8, 153)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(12,197)[/tex]

Input these into the slope formula:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11[/tex]

Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-153=11(x-8)[/tex]

[tex]\implies y-153=11x-88[/tex]

[tex]\implies y=11x-88+153[/tex]

[tex]\implies y=11x+65[/tex]

When Ann had added no water, x = 0.  Therefore,

[tex]y=11(0)+65[/tex]

[tex]y=65[/tex]

So there was 65 gallons of water in the pool before Ann starting adding water.

#a

Take 2 points

Slope=Rate of water flow

The water increases with respect to time as slope is positive.

It's

#2

We need amount of water when time is 0

So

Let that be y and point is (0,y) and comaparing with (8,153)

It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.

Mean is one of the measure of dispersion and is the avearage of a set of data.

According to the question, the magazine reports that the most common gas mileage was 24 mpg. This shows that reports have published several gas mileages for cars and truck and the average of this mileage is 24mpg

It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.

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[tex]\dfrac{n^6}{(n^2)^5}\\\\\\=\dfrac{n^6}{n^{2 \times 5}}\\\\\\=\dfrac{n^6}{n^{10}}\\\\\\=n^{6-10}\\\\\\=n^{-4}[/tex]

Answer:

5: A

6: B

Step-by-step explanation:

Answer:

Here is the ans ...hope it helps:)

Answer:

A

Step-by-step explanation:

100/25 = 4

but we have 5 students absent so 25-5=20

100/20 = 5

so A

The value of C is 0.03030 if the f(x, y) = c(x 2y), x = 1, 2 and y =1, 2, 3  because the sum of the probability is always 1

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x, y) = c(x+2y),

x = 1, 2 and y =1, 2, 3

f(1, 1) = C(1 + 2)  = 3C

f(1, 2) = C(1 + 4)  = 5C

f(1, 3) = C(1 + 6)  = 7C

f(2, 1) = C(2 + 2)  = 4C

f(2, 2) = C(2+ 4)  = 6C

f(2, 3) = C(2 + 6)  = 8C

We know the sum of the all probability is 1

3C+5C+7C+4C+6C+8C=1

33C =1

C = 0.03030

Thus, the value of C is 0.03030 if the f(x, y) = c(x 2y), x = 1, 2 and y =1, 2, 3  because the sum of the probability is always 1

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The missing measurement of this right triangle is x=2√14

40

The average of a data set is the number "in the middle" of all of the numbers. This is a measurement of the center of a data set. Another word for average is mean.

How to Calculate the Average

The average or mean is calculated by adding all of the values together. Then, divide this sum by the number of data points. For example, if the sum of 5 different data points is 10, then the average would be 10/5.

Finding the Average

Now, let's find the average of this specific data set. First, add all of the data together.

Then, count the number of terms. There are 7 different terms within this data set. So, next divide the sum by the number of terms.

This means that the average of the set is 40.

Other Measurements of Center

The mean is not the only measurement of center. There are 3 common measures of center.

The difference in what you would pay in taxes is $16,706.55

The given parameters are:

The difference in tax is:

Difference = 2.4% - 0.27%

Evaluate

Difference = 2.13%

The amount is then calculated as:

Amount = 2.13% *  $784,345

Evaluate

Amount = $16,706.55

Hence, the difference is $16,706.55

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Answer:

x = -6

Step-by-step explanation:

» Solution

Step 1: Distribute -5 to the terms inside the parantheses.

Step 2: Subtract 30 from both sides.

Step 3: Divide both sides by -5.

Therefore, x = -6.