A graph shows day labeled 2 to 10 on the horizontal axis and miles on the vertical axis. A line decreases from 1 to 2, increases from 2 to 3, decreases from 3 to 5, increases from 5 to 8, decreases from 8 to 9, and increases from 9 to 10.
The scatterplot shows how many miles Marissa jogged over 10 days. Which statements are true? Check all that apply.

Marissa jogged 5 miles on the first day.
Marissa jogged 6 miles on the second day.
Marissa jogged 9 miles on the third day.
Marissa jogged 3 miles on the fourth day.
Marissa jogged 3 miles on the ninth day.

1.Substitute

2.Calculate

Hope it helps

Answer: about 260 Lb

Step-by-step explanation:

Answer:  a. What is the proportion of current smokers among the 1685 high school students surveyed?

The proportion of current smokers among the 1685 high school students surveyed is 437/1685 = 0.259 or 26%.

b. What is the point estimate for the population proportion of all high school students who smoke?

The point estimate for the population proportion of all high school students who smoke is 0.259.

c. What is the 95% confidence interval for the population proportion of all high school students who smoke?

The 95% confidence interval can be calculated using the formula:

point estimate ± 1.96 * standard error

where standard error = square root of (point estimate * (1 - point estimate) / sample size)

standard error = square root of (0.259 * (1 - 0.259) / 1685) = 0.012

95% confidence interval = 0.259 ± 1.96 * 0.012

= 0.259 ± 0.023

= [0.236, 0.282]

So, the 95% confidence interval for the population proportion of all high school students who smoke is between 23.6% and 28.2%.

Step-by-step explanation:

The true or false statements based on the graph on the lengths of ribbons are:

The graph shows that most common length that a ribbon has is 11²/₈ with 3 ribbons. At a simpler term, this becomes 11¹/₄.

The sum of the longest and shortest lengths is:

= 11¹/₄ + 9⁷/₈

= 21⁹/₈

The sum is therefore not 20¹/₈.

The difference between the longest and shortest lengths is:

= 11¹/₄ - 9⁷/₈

= 1³/₈

This is not 2 ¹/₈

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After 8 years, the forest's area will be 2303.55 km2.

The "space enclosed within the perimeter or the boundary" of the specified shape is what is referred to as a shape's area. We use mathematical techniques to determine the area of various forms.

If the forest covers an area of  3400 km^2 and it decreased by 4.75%, the new area covered after a year will be equal to 3400 less the product of 3400 and 4.75%

= 3400 - 4.75% * 3400

= 3400 (1 - 0.0475)

After the second year, the area becomes

= 3400 (1 - 0.0475) - 4.75% * 3400 (1 - 0.0475)

= 3400 (1 - 0.0475)(1 - 0.0475)

= 3400 (1 - 0.0475)²

Following this pattern, the area after 8 years

= 3400 (1 - 0.0475)⁸

Area after the 8 years = 2303.55609

therefore, the area of the forest after the 8 years will be 2303.55 km².

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Answer: B: triangle ABC and triangle MNO

the second one is C: triangle JLK and triangle PQR

Step-by-step explanation: Plato

AABC and AMNO can be shown to be congruent by a sequence of reflections and translations.

A vertex (plural: vertices) is a point in geometry where two or more straight lines intersect.

Vertices are typically the corners or points where the curve changes direction in two-dimensional shapes such as triangles, rectangles, and circles.

Vertices are the points where the edges of three-dimensional shapes such as cubes, pyramids, and spheres meet. Vertices is the plural of vertex.

AABC and AMNO can be shown to be congruent by a sequence of reflections and translations.

AXYZ can be shown to be congruent by a single rotation.

KL and APQR cannot be shown to be congruent by either a sequence of reflections and translations or a single rotation.

Thus, this can be the answer for the given scenario.

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Answer:

1: The tower is around 93 meters tall. 2: The object hit the ground at 6 seconds. 3: 3 seconds to get to about 93 meters up.

Step-by-step explanation:

1: The tower is around 93 meters tall.

2: The object hit the ground at 6 seconds.

3: the time it took to reach that height is 3 seconds to get to about 93 meters up.

Function is a type of relation, or rule, that maps one input to specific single output.

Linear function is a function whose graph is a straight line

1. Since the shot was made from the top of the tower, the starting height of the object (time zero) is equal to the height of the tower.

It represent in the graph by the y-intercept of the function, that is, the value of y when x=0.

The y-intercept is at (0,10) which shows that the height of the tower is 10m

2. The point where the object hit the ground, the height is zero meters, thus

The coordinates of the x-intercept are (6,0)

This shows that the object hit the ground 6 seconds after being shot.

3.The y-coordinate of the vertex shows the highest point of the object, which is 93 meters.

The x-coordinate of the vertex shows the time it took the object to reach said height, which is 2.8 seconds

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Answer:

7.48 X 10^4

Step-by-step explanation:

Hope it helps!!

Answer:

$25

Step-by-step explanation:

Let the original cost of the shirt be x, therefore the sale price would be the original minus the 20% of the original price x - 0.20x = $20. Solve for x: 0.8x = 20 --> x=$25

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:

A 7:2

Step-by-step explanation:

Answer:

less than 1yd²:

2/3x3/5= 2/5

1/4x5/3= 5/12

1/2x9/10= 9/20

equal to 1yd²

1/4x4/1= 1

4/3x6/8= 1

more than 1yd²

2/3x5/3= 1.1

Step-by-step explanation:

2/3x3/5= 2/5

1/4x4/1= 1

2/3x5/3= 1.1

1/4x5/3= 5/12

1/2x9/10= 9/20

4/3x6/8= 1

Answer:

2..........3

--- x ---

3............5

Step-by-step explanation:

goes to area less than 1square yard

Answer:

Dave paid $4.20 more than Mel

Step-by-step explanation:

Lets start with Dave:

Turn the % into a decimal - so 7.5 % would be 0.075

Then multiply it to the amount in cost to get the tax - 24 x 0.075 = 1. 80

Now add the tax to the total - 24 + 1.8 = $25. 80  

Mel

Turn the % into a decimal - so 8 % would be 0.08

Then multiply it to the amount in cost to get the tax - 20 x 0.08 = 1. 60

Now add the tax to the total - 20 + 1.6 = $21.60  

To find the difference subtract Dave's with Mel's

$25. 80 - $21.60 = $4.20

Answer:

y=5 .................

Answer:

same time , 12 minutes

Step-by-step explanation:

'A' can eat 1÷6 pizza in 2 minutes

Therefore, 'A' can eat full pizza in 6×2 minutes=12 minutes

'B' can eat 1÷4 pizza in 3 minutes

therefore, 'B' can eat full pizza in 3×4 minutes=12 minutes

So, Both 'A' and 'B' will finish at same time.

One of the easiest ways to visit each digit in an integer is to visit them from least to most significant (right-to-left), using modulus and division. In decimal, 327 % 10 is 7.

We record 7, then reduce 327 to 32 via 327/10. We then repeat the process on 32, which gives us 2, and then we repeat it on 3, which gives us 3.  Therefore, the digits in 327 in that order are 7, 2, and 3.

This method, which takes advantage of the place-value structure of the number system, may be used to reverse an integer or extract specific digits.

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Existing Highway Horizontal curves are sections of road that are horizontally curved (curved in plan). A horizontal curve is a curve that does not change in elevation, but rather follows the contour of the earth. There is a historical site located at the point of an existing horizontal curve with pi located at STA 80 00, an external angle of 65 degrees, and a radius of 1200 feet. The curve must be relocated, moving the pi to STA 78 00.

If the external angle remains constant, what is the new curve's radius?

The original radius R of the existing horizontal curve can be calculated as follows:

R = 5729.57795 / 65R = 88.07 feet. We are supposed to locate the curve in such a manner that the pi would be at STA 78 00. To calculate the new radius of the curve, we use the following formula:

C = 2πR(E/360)Where; C = length of curveR = radius of curveE = angle subtended by the curve (in degrees)

For the new curve, C = 2πR (E/360) ---(1)Since the external angle will remain unchanged, the following formula can be used:

E = 360 - (Pi/180)*65 ----(2)

Substituting the value of equation (2) in equation (1), we get: C = 2πR[360 - (Pi/180)*65]/360-----(3)

Since the curve's starting point has been moved from STA 80 00 to STA 78 00, we know that the length of the curve must be the same as it was before. The curve's length can be calculated as follows:

L = (Pi/180) * E * R ----(4)

where;

L = length of curve

Substituting the value of R and E from equations (2) and (4) in equation (3), we get:

C = 2π(88.07)[360 - (Pi/180)*65]/360C ≈ 544.12 feet

Finally, using the value of C, we can calculate the new radius of the horizontal curve by substituting the values of C and E in equation (4):544.12 = (Pi/180) * E * RN = 544.12*180/((Pi)*65) ≈ 124.2 feet

Therefore, the new radius of the curve is approximately 124.2 feet.

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Answer:

a translation down 9 unit

Step-by-step explanation:

Width of domain is 5 units and height of the range is 6 units.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given domain and range are:

Domain: r ≤ x < -3

Range: -4 ≤ y < 2

Here, r is the lower bound of the domain and -3 is the upper bound of the domain. So, the width of the domain is:

width of domain = upper bound of domain - lower bound of domain

= -3 - r

= -3 - (-8) [As given, the domain is 8 units wide]

= 5

Similarly, -4 is the lower bound of the range and 2 is the upper bound of the range. So, the height of the range is:

height of range = upper bound of range - lower bound of range

= 2 - (-4)

= 6

Hence, we have:

width of domain = 5 units

height of range = 6 units

Threfore, width of domain is 5 units and height of the range is 6 units.

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Answer:

\(10i\)

Step-by-step explanation:

√(-100)

Use the imaginary number rule  \(i=\sqrt{-1}\)

√(-1) × √(100)

i × √(10²)

i × 10

= 10i

Answer:

It does not have a square root because it is a minus digit.

Step-by-step explanation:

The square root of one number is the number which is multiplied by itself to form the square number.

But, no negative number has a square root, because

- x - = +

+ x + = +

As you can see, no two same signs multiply together to form a negative.

Hope this helps.

Good Luck

Answer:

-2

Step-by-step explanation:

I am not sure but its ans may be -2

The volume of the rectangular prism with dimensions length 3\(x^{2}\), width 2x, and height \(x^{2}\) + 3x + 5 can be determined using the formula V = length × width × height.

To find the volume of a rectangular prism, we multiply its length, width, and height together. In this case, the length is given as 3\(x^{2}\), the width as 2x, and the height as \(x^{2}\) + 3x + 5. Substituting these values into the formula V = length × width × height, we have V = (3\(x^{2}\)) × (2x) × (\(x^{2}\) + 3x + 5).

To simplify the expression, we can first multiply the terms involving x: V = 6\(x^3\)× (\(x^{2}\) + 3x + 5). Next, we apply the distributive property to expand the expression: V = 6\(x^3\)× \(x^{2}\) + 6\(x^3\) × 3x + 6\(x^3\) × 5.

Simplifying further, we get V = 6\(x^5\)+ 18\(x^4\) + 30\(x^3\). Thus, the volume of the rectangular prism is given by the polynomial 6\(x^5\) + 18\(x^4\) + 30\(x^3\), which represents the product of its dimensions.

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Answer:

-A

Step-by-step explanation:

A has all lengths exactly half

The formula for the height of the banner in terms of the side length of the cardboard square, the height of the grandstand, and the distances from the person's eye level to the grandstand and the ground.

Mathematically, we can write this as:

(height of banner) / (distance from eye level to top of grandstand) = (side length of cardboard square) / (distance from eye level to bottom of square)

So, the distance from the eye level to the top of the grandstand is "s + h". We also know the distance from the person's eye level to the bottom of the square, which is "d₂ - d₁".

Putting all of this together, we can write:

(height of banner) / (s + h) = s / (d₂ - d₁)

To solve for the height of the banner, we can cross-multiply and simplify:

(height of banner) = (s² / (d₂ - d₁)) * (1 + h/s)

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Complete Question:

Zach wants to order a banner that will hang over the side of his baseball stadium grandstand and reach the ground. And then he needs to find the height for the banner so he uses a cardboard square to line up the top and bottom of the grandstand. Then he measures the distance from the grandstand and from the ground to his eye level.

Find height of the banner.

Answer:

30 / 34 and 15/17 simplified.

Step-by-step explanation:

cos = adjacent / hypotenuse

adjacent is the (base) which is 30 and hypotenuse is the longest side which is 34

Answer:

uncountable

Step-by-step explanation:

----------------uncountable-----------------

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

The velocity of the baseball is 40 m/s

The given parameters are:

Momentum = 6.0 kgm/s

Mass = 0.15 kg

The velocity of the baseball is calculated from

Momentum = Mass * Velocity

So, we have:

6.0 kgm/s = 0.15 kg * Velocity

Divide both sides by 0.15

Velocity = 40 m/s

Hence, the velocity of the baseball is 40 m/s

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