What is the x-intercept of the function graphed below?​

Answer:

C) 4a-2a=a+a

Step-by-step explanation:

4a-2a=2a

2a=a+a

2a=2a

answer:

option c is correct!

explanation:

hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

The Excel function =40*RAND() generates random numbers between 0 and 40.

Since the RAND() function in Excel produces random numbers uniformly distributed between 0 and 1, multiplying it by 40 scales the range to 0 to 40.

The standard deviation of a uniform distribution with range a to b is given by (b - a) / sqrt(12). In this case, a = 0 and b = 40.which simplifies to approximately 11.55.

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Given that z₁= −7i and z₂ = 4+3i, the difference z₁ −  z₂ in rectangular form is; -4 - 10i

Addition of complex numbers is basically the same thing as adding two-dimensional vectors that are located on the x-y Cartesian plane.

Now, it is pertinent to note that when doing vector addition, we denote the x-component with i^ and y-component with j^.

We should also not that when adding complex numbers, the x-component is the real part and y-component is the imaginary part.

Geometrically, we can say that the addition of complex numbers can be equated to the addition of vectors in x-y plane.

Thus by the the parallelogram law of vector addition, we will be able to find the resultant vector.

In rectangular coordinates,

z₁ = -7i

z₂ = 4 + 3i

Then, z₁ - z₂ = -7i - (4 + 3i)

= -7i - 4 - 3i

= -4 - 10i

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Answer: D

Step-by-step explanation:

Answer:

d) People per hour, because the dependent quantity is the people

Step-by-step explanation:

In this situation, the two quantities are people and hours. These are the two things in this problem we can count or measure.

The independent variable is the one that causes a change, while the dependent variable is the one that gets changed. In this situation, the number of people change every hour; this means the number of people gets changed, which makes it the dependent variable. This means that the independent variable must be time.

Since people is dependent and time is independent, "people per hour" would be the best form of this statement.

Answer:  See the image below.

From the given picture, we can see a cylinder in option A. Strictily speaking, a cylinder is not a prism as the other options because a prism has edges, vertices and faces and the cylinder has not faces in the circular shape. Therefore, the answer is option A (cylinder)

Answer:

box-and-whisker plot

line graph

stem-and-leaf plot

scatter plot

histogram

Step-by-step explanation:

Answer:

stem-and-leaf plot

Step-by-step explanation:

trust me this is the right one

Answer:

A one tailed test

Step-by-step explanation:

Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.

Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.

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One-Tailed Test

Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.

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The amount of juice in the original solution is 1.5 gallons. b. Original amount of solution is 10 gallons c. No juice is added d. 20 gallons solution added.

a. Original amount of juice in original solution:

Original amount of juice in original solution= 15% × 10 gallons

Original amount of juice in original solution= 1.5 gallons

b.  The original amount of solution in gallons is 10 gallons which was given in the question.

c. No juice is added which means we have 0 juice.

d. Total solution added:

(10+x)×5%=1.5

0.5+0.5x=1.5

Collect like terms

0.05x=1

Divide both side by 0.05x

x=1/0.05

x=20 solution added

Therefore the amount of juice in the original solution is 1.5 gallons. b. Original amount of solution is 10 gallons c. No juice is added d. 20 gallons solution added.

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What is the original amount of solution in gallons?

What is the amount of salt in the original solution?

Answer:

 a = 160

 b = 19.2

Step-by-step explanation:

on edge

Fall: 275 radials

Winter: 325 radials

Spring: 162 radials

Summer: 638 radials

The demand for each season is estimated based on the historical sales data provided and the projected increase in sales for the upcoming year.

To calculate the estimated demand for each season, we take the average of the past two years' sales for each season and then adjust it proportionally to the projected total sales for the next year.

Here's the breakdown of the calculation for each season:

Fall: Taking the average of the past two years' fall sales (220 and 260) gives us \(\frac{220+260}{2}\)= 240. We then adjust this value proportionally to the projected sales for next year: (\(\frac{240}{580}\)) * 1,400 ≈ 575. Rounding this to the nearest whole number, we get an estimated demand of 575 radials for the fall season.

Winter: Following the same process, we find the average of the past two years' winter sales (350 and 310) as \(\frac{350+310}{2}\) = 330. Adjusting this value proportionally to the projected sales for next year: (\(\frac{330}{660}\)) * 1,400 ≈ 700. Rounded to the nearest whole number, the estimated demand for the winter season is 700 radials.

Spring: Calculating the average of the past two years' spring sales (150 and 175) gives us \(\frac{150+175}{2}\) = 162. Adjusting this value proportionally to the projected sales for next year: (\(\frac{162}{325}\)) * 1,400 ≈ 698. Rounded to the nearest whole number, the estimated demand for the spring season is 698 radials.

Summer: Similarly, taking the average of the past two years' summer sales (320 and 615) gives us \(\frac{320+615}{2}\) = 467. Adjusting this value proportionally to the projected sales for next year: (\(\frac{467}{935}\)) * 1,400 ≈ 700. Rounded to the nearest whole number, the estimated demand for the summer season is 700 radials.

Therefore, based on the projected sales of 1,400 radials next year, the estimated demand for each season is approximate: Fall - 575 radials, Winter - 700 radials, Spring - 698 radials, and Summer - 700 radials.

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Answer:

382.85

Step-by-step explanation:

hours. amount

8. 80.60

38. ??

=382.85

Answer:418 and heres why

Step-by-step explanation:

2(14.5 times 7 = 101.5 times 2 = 203

next

2(14.5 times 5 =72.5 times 2=145

then last

2(7 times 5= 35 times 2=70  add them all together then get  418

hope this help (:

The surface area of the shoe box is,

⇒ SA = 418 square inches

We have to given that,

A shoe box has a length of 14.5 inches, a width of 7 inches, and a height of 5 inches.

Since, We know that,

Surface area of cuboid is,

SA = 2 (lw + lh + hw)

Here, we have;

Length = 14,5

Width = 7 inches

Height = 5 inches

Hence, We get;

The surface area of the shoe box is,

SA = 2 (14.5 x 7 + 14.5 x 5 + 5 x 7)

SA = 2 (101.5 + 72.5 + 35)

SA = 2 (209)

SA = 418 square inches

Thus, The surface area of the shoe box is,

⇒ SA = 418 square inches

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"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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Since the diagonals of a square are equal, they bisect each other and form 4 right angles.

Therefore, we have two congruent right triangles with legs x/2 and hypotenuse x. Using the Pythagorean theorem, we can solve for x:

(x/2)^2 + (x/2)^2 = x^2

2(x/2)^2 = x^2

x^2/2 = x^2

1/2 = 1

This leads to an absurdity, so there is no solution for x that satisfies the given conditions. Therefore, the answer is 4.0 Units.

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The price of an adult ticket is $10 and the price of a student ticket is $9.

An equation is a mathematical statement that shows that two expressions are equal. It usually contains variables, constants, and mathematical operations. The equal sign (=) is used to indicate that the expressions on both sides of the equation are equal.

Let "a" be the price of an adult ticket and "s" be the price of a student ticket. We can set up two equations based on the given information:

Equation 1: \(10a + 2s = 118\) (from the first day of ticket sales)

Equation 2: \(6a + 12s = 168\)(from the second day of ticket sales)

We can use the elimination method to solve for one of the variables. Let's multiply Equation 1 by -6 and add it to Equation 2:

\(-60a - 12s = -708\) (multiplying Equation 1 by -6)

\(6a + 12s = 168\)(Equation 2)

\(-54a = -540\)

Dividing both sides by -54 gives us:

a = 10

Now we can substitute a = 10 into either Equation 1 or Equation 2 to solve for s. Let's use Equation 1:

\(10a + 2s = 118\\10(10) + 2s = 118\\100 + 2s = 118\\2s = 18s = 9\)

Therefore, the price of an adult ticket is $10 and the price of a student ticket is $9.

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(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

(a) The mean = sum of all values divided by the number of values

μ = (x1 + x2 + ..... + xn)/n

n = 20

μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20

μ = 0.9878/20

μ = 0.0494

(b) Variance = sum of squared deviations from the mean divided by n-1

s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)

s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19

s² = 0.000016

(b) The minimum is 0.0395 and the maximum is 0.0571.

since the number of data is even, the median will be the average of two middle values.

M = Q2 = (0.0496+0.0499)/2 = 0.04975

Now, the first quartile is the median of the data values below the median

so Q1 = (0.0470+0.0485)/2 = 0.04775

And third quartile will be the median of the data values above the median

Q3 = (0.0504+0.0516)/2 = 0.0510

(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set

so M = (0.0496+0.0499)/2

or M = 0.04975

(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.

The boxplot is attached.

(e) The 5th percentile means 0.05(n+1)th data value

or = 0.05(20+1) = 1.05th data value

5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974

similarly,

95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995

Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

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Answer:

5.63

Step-by-step explanation:

The value of x in the given triangle is 5.62 cm.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a right angle triangle

We have to find the value of x

We know that by cosine function is a ratio of adjacent side and hypotenuse

cos 62 = x/ 12

0.469 = x/12

Apply cross multiplication

x=12×0.469

x=5.63

Hence, the value of x in the given triangle is 5.62 cm.

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m<JKL=45°

Please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

Answer:45°

Step-by-step explanation:

Delilah is correct; it is

Here, we want to check who was right

Mathematically, we can dilate a figure by reduction or enlargement by the use of a specific scale factor

When the scale factor is less than 1, it is a reduction

However, if the scale factor is greater than 1, it is an enlargement

The original point is (x,y)

From the image coordinates given, we see that the scale factor is 6/5 which is greater than 1

Thus, the dilation is an enlargement and Delilah was right

The total area of the figure in this problem is given as follows:

41.3 ft².

The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.

The figure in this problem is composed as follows:

Then the area of the triangle is given as follows:

At = 0.5 x 6 x 3 = 9 ft².

The area of the semicircle is given as follows:

Ac = π x 3² = 28.3 ft².

The area of the square is given as follows:

As = 2² = 4 ft².

Then the total area of the figure is given as follows:

9 + 28.3 + 4 = 41.3 ft².

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Answer:

40

Step-by-step explanation:

Plug the 21 into the equation (21 + 19)

anwer 2(4x-1)

Distribuye

Distribuye 8 ( − 5 ) + 3 8 {\color{#c92786}{8(x-5)}}+38 8 − 4 0 + 3 8 Suma los números 8 − 4 0 + 38 − 2Factoriza por agrupamiento Factoriza por agrupamiento 8 ( − 5 ) + 3 8 8(x-5)+38 2 ( 4 − 1 )

Answer:

Infinitely many solutions!

Step-by-step explanation:

Using PEMDAS rules, let's distribute the 8 to (x - 5)

Now the equation looks like: 8x - 40 + 38 = 8x - 2

We combine like terms, so -40 + 38 would be -2

Now the equation would look like 8x - 2 = 8x - 2

Let's add 2 on the other side to try and get x by itself

8x = 8x - 2 (+2) Which brings the equation to 8x = 8x

Technically speaking, you can stop here because the statement is true. No matter what x equals, the statement would be true. Therefore infinitely many solutions would be your answer. You can plug in any number for x and the equation would still be correct.

Using the solution of Algebraic expression,

we get that total 28 games won by sports team.

We have given that,

let a sports team lost be x games .

then, total number of games won by sports team

= 2x

total number of games played by sports team

= 42

i.e , 2x + x = 42

=> 3x = 42

=> x = 42/3

=> x = 14

so, number of games lost by sports team is 14

but we have to calculate the total number of games won by spots team .

using the value of x , we get 2x = 2×14

=> 28 games

Hence, total 28 games out of 42 games are won by sports team.

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Answer: 25°

Step-by-step explanation:

So we know that the right angle equals 90°.

And we know that all the angles of a triangle have to add up to 180°.

Also angle x and the exterior angle that is 115° are supplementary, so they have to add up to 180°. So we have to subtract 180 - 115 = 65.

So our equation for y is:

y + 65 + 90 = 180

y + 155 = 180

y = 25

So y = 25°

Hope this helps!!! :)

The surface area of the square base pyramid is calculated to be equal to 460 square millimetres.

area of one triangle face = 1/2 × 10 mm × 18 = 90 mm² mm

area of the four triangle faces = 4 × 90 mm² = 360 mm²

area of the square base = 10 mm × 10 mm = 100 mm²

surface area of the square base pyramid = 360 mm² + 100 mm²

surface area of the square base pyramid = 460 mm²

Therefore, the surface area of the square base pyramid is calculated to be equal to 460 square millimetres.

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Answer:

58 11/12

Step-by-step explanation:

Add up each item within the suitcase + the suitcase after taking out the items to find the weight of the suitcase at the beginning.

30 + 7 1/4 + 21 2/3

Convert the fractions to have a common denominator

30 + 7 3/12 + 21 8/12

Add these up to get 58 11/12.

Answer:

       5/6 or 4/6

Step-by-step explanation:

6-2=

4/6 -with out two

5/6 -including two

Answer:

1 is H

2 is G

3 is B

Answer:

1 is G number 2 is F

Number 1 is G

Number 2 is F

Answer:

In quadrant III, the x-coordinate of a point is negative and the y-coordinate of a point is also negative. Therefore, the signs of the trigonometric ratios are as follows:

- Sine: negative (y-coordinate is negative)

- Cos

In simplest radicle form, the length of the third side = 9 units.

Given,

Side A = 7 units.

Side B = 4√2 units.

To find Side C, we use the Pythagorean formula,

a² = b² + c²

7² = \(4\sqrt{2}^{2}\) + c²  

c² = 49 + 32

c² = 81

√c² = √81

c = -9,9.

c ≠ -9 as negative values are not considered for dimensions.

Hence, the length of the third side is 9 units.

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Your question is incomplete. The complete question is:

With reference to the figure below,  find the length of the third side. If necessary, write in the simplest radical form.