A plane travels a distance of 21,000 km in a time of 3.2 hours.
What is its average speed rounded to the nearest whole number?

Answer:

Inequality: 7.5v+55≥100

Answer: v≥6

Step-by-step explanation:

Have a good day :)

The inequality for the given situation is 7.5v+55≤100.

Given that, Mamadou receives 55 rewards points just for signing up. He earns 7.5 points for each visit to the movie theater. He needs at least 100 points for a free movie ticket.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The number of visits Mamadou can make to earn his first free movie ticket is v.

The inequality for the given situation is 7.5v+55≤100

Subtract 55 on both the sides of inequality.

That is, 7.5v+55-55≤100-55

⇒ 7.5v≤45

⇒ v=45/7.5

⇒ v=6

Therefore, the inequality for the given situation is 7.5v+55≤100.

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Answer:

a

Step-by-step explanation:

triangles are pyramids and it has 6 sides

Answer:

Hexagonal prism

Step-by-step explanation:

We can rule out B and D because if it was a pyramid, there would be a triangle in the net (The net of a 3D shape is what it looks like if it is opened out flat). We can also rule on C because it it was a cylinder, there would be a circle in the net. Therefore, our remaining answer is A.

Answer:

\(y = - 5x + 17\)

Step-by-step explanation:

\(i n \: slope \: intercept \: form \: y = mx + c \\ for \: the \: \: liear \: equaton = 5x + y = 17 \\ y = - 5x + 17\)

Step-by-step explanation:

The equation 5x + 18 = 12x - 17 can be solved for x by rearranging the terms and isolating the variable on one side of the equation.

First, we can simplify the equation by combining like terms. Adding 17 to both sides and subtracting 5x from both sides, we get:

5x + 18 + 17 = 12x - 17 + 17 - 5x

Simplifying this expression, we get:

23 = 7x - 5x

Next, we can combine like terms again to solve for x:

23 = 2x

Dividing both sides by 2, we get:

x = 11.5

Therefore, the solution to the equation 5x + 18 = 12x - 17 is x = 11.5.

Step-by-step explanation:

if you mean x multiply 2 :

j(x) = 2x + 1

j(a+1) = 2(a+1) + 1

= 2a+ 2 +1

=2a + 3

if you mean x to the power of 2

j(x) = x^2 +1

j(a+1) = (a+1)^2 + 1

= a^2 + 2a + 1 +1

= a^2 + 2a + 2

Answer:

length is 30.5 and width is 23.5

Step-by-step explanation:

first do 54 - 7 to see how much each is, then add back the 7 to the one with 7 extra, length. 54 - 7 is 47. 47 split in 2 is 23.5. That is width. Add 7 extra to length. 23.5 + 7 is 30.5. length is 30.5.

The perimeter of a rectangle is equal to the sum of twice the rectangle's length and twice the rectangle's width:

P = 2l + 2w

and, here, P = 54 inches.

We are told that the length is seven inches more than the width. So, l = w + 7. We can substitute w + 7 for l in the equation for the perimeter:

P = 2(w + 7) + 2w = 54.

We can now solve for w:

2w + 14 + 2w = 54

4w = 40

w = 10 inches.

Now that we know the width, we can determine the length.

54 = 2l + 2w

54 = 2l + 2(10)

34 = 2l

l = 17 inches.

Thus, the length is 17 inches, and the width is 10 inches.

To check our work, a length of 17 inches is seven inches more than the width of 10 inches, and the perimeter of a rectangle with a length of 17 inches and a width of 10 inches is 17 + 17 + 10 + 10 = 54 inches.

The time spent on homework will be naturally more an explanatory variable and exam grade a response variable.

The Linear equation for a scatter plot y = mx+b has two variables i.e., a Dependent Variable [Y] and an Independent variable [X] .

A student who spends more time on his work and do it nicely will automatically get good exam grade . On the other side, a student who did'nt dedicate much time to the homework and carelessly does it , will obviously score a low exam grade.We can see that the exam grade is dependent on the time spent on the homework which naturally makes exam grade a response variable and time spent on home a independent thus an explanatory variable.

Hence, the time spent on homework will be naturally more an explanatory variable and exam grade a response variable.

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Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

Answer:2y+y-4+9

Step-by-step explanation:

2y+y-4+9

Answer:

2 \(\frac{1}{2}\) , 2 \(\frac{3}{4}\) , 3

Step-by-step explanation:

there is a common difference between consecutive terms , that is

2 - 1 \(\frac{3}{4}\) = 2 \(\frac{1}{4}\) - 2 = \(\frac{1}{4}\)

to find the next term in the sequence add \(\frac{1}{4}\) to the previous term

a₄ = 2 \(\frac{1}{4}\) + \(\frac{1}{4}\) = 2 \(\frac{1}{2}\)

a₅ = 2 \(\frac{1}{2}\) + \(\frac{1}{4}\) = 2 \(\frac{3}{4}\)

a₆ = 2 \(\frac{3}{4}\) + \(\frac{1}{4}\) = 3

Answer:

x = 1/8

Step-by-step explanation:

divide the two from both both sides

1/4 = 2x

(1/4)/2 = x/2

1/8 = x

Answer: x = -2

Step-by-step explanation:

X is -2 because whenever you get a negative exponent you gotta make it into a fraction which is \(\frac{1}{4}\) because I ignored the negative sign for a second and did it normally so 2 to the power of 2 is 4 put it as a fraction 1 over 4.

Normally it doesn’t happen to every problem you get. Most of the time you gotta divide the numerator by the denominator which will give you .25 in this case scenario, .25 converted to a fraction would be 1/4.

- Your Welcome.

From the analysis of the above math, the amount she invested in the CD account is 5,000. See the analysis below.

Let A be the amount invested in the CD.

Let B be the amount invested in the savings bond.

A + B = 15, 000

.04A + .07B = 900

Multiply the first equation by -.04 and add it to the second equation to get rid of the A term.

-.04A-.04B = -600  add this equation to the second equation.

.03B = 300  multiplying by 100.  3B = 30,000

dividing by 3 on both sides: B = 10,000.  So A = 5,000

So she invested 5,000 in the CD account

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The volume of the pyramid is approximately 5.9 cm³.

To find the volume of a pyramid with a square base, you can use the formula:

Volume = (1/3) * base area * height

First, let's find the area of the square base. The perimeter of the base is given as 5.7 cm, which means each side of the square has a length of 5.7 cm / 4 = 1.425 cm.

The area of a square is given by the formula:

Area = side length * side length

Substituting the side length, we have:

Area = 1.425 cm * 1.425 cm = 2.030625 cm²

Now, we can calculate the volume of the pyramid:

Volume = (1/3) * base area * height

= (1/3) * 2.030625 cm² * 8.6 cm

= 5.91834375 cm³

Rounding to the nearest tenth of a cubic centimeter, the volume of the pyramid is approximately 5.9 cm³.

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Answer:

108 in.

Step-by-step explanation:

SA = 2(lw + wh + lh)

SA = 2((6)(4) + (4)(3) + (6)(3)

SA = 2(24) + (12) + (18)

SA = 2(54)

SA = 108 in.

Answer:

108

Step-by-step explanation:

The equation of the straight line passing through the points (5, -5) and (-3, 7) is 3x + 27 - 5 = 0.

To find the equation of a straight line passing through two given points, we use the point-slope form of the equation of a line:

                             =>  (y - y₁) = m(x - x₁)

Where (x₁, y₁) is one of the given points, m is the slope of the line, and (x, y) are the coordinates of any other point on the line.

Here we have

The straight  line passing through (5,-5) and (-3,7)​

From the given points the slope of the line can be found as follows

m = (y₂ - y₁)/(x₂ - x₁) = (7 - (-5))/(-3 - 5) = 12/-8 = - 3/2

Using the above formula,

=> y - (-5) = -3/2 (x - 5)

=> y + 5 = -3x/2 + 15/2

=> 2(y + 5) = - 3x + 15

=> 2y + 10 = -3x + 15

=> 3x + 27 - 5 = 0

Therefore,

The equation of the straight line passing through the points (5, -5) and (-3, 7) is 3x + 27 - 5 = 0.  

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Answer:

Step-by-step explanation:

They make it sound like it is 23 miles one way.

2(23)5(52)

11960 miles

Answer: Multiply the centimeters number by 10.

Step-by-step explanation: There are 10 millimeters in every centimeter.

The limit as x approaches one is infinity.

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)

The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.

From the given question, as x approaches 1,

substituting x into 1 - x,

the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.

Thus, the limit of the function as x approaches 1 is infinity.

Therefore,

The limit (as x approaches 1)

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)

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Answer:

#1: 1000

because there are 3 sets of 6 hours in 18 hours, so for each of those sets you would take your number, which at first is 250 and double it which makes 500 then you double that to 1000

thats the first one for you, it seems as if it says you are in high school so you should know this simple math :). keep trying! and try getting a calculator before asking. (yes i'm to lazy to do the rest)

Our initial assumption that √5 is rational must be false.

To prove that √5 is irrational, we can use a proof by contradiction.

Assume that √5 is rational, meaning it can be expressed as a fraction in the form of p/q, where p and q are integers with no common factors (except 1) and q is not equal to 0.

We can then square both sides of the equation to get:

(√5)² = (p/q)²

5 = p² / q²

Cross-multiplying gives:

5q² = p²

From this equation, we can observe that p² must be a multiple of 5, which implies that p itself must be a multiple of 5.

Let's express p as p = 5k, where k is an integer.

Substituting this into the equation gives:

5q² = (5k)²

5q² = 25k²

Dividing both sides by 5, we have:

q² = 5k²

This implies that q² must also be a multiple of 5, which means q itself must be a multiple of 5.

Now, we have shown that both p and q are multiples of 5.

This contradicts our assumption that p and q have no common factors other than 1.

Our initial assumption that √5 is rational must be false.

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From the graph provided, the coordinates of the two points are;

The distance between two points is;

Then, we substitute the values into the formula, we have;

The distance d, between the points is;

Answer:

It would be 49 cm

Step-by-step explanation:

Knowing the the perimeter of Tri RST is 28 cm and that it is a dilated by a 4:7 Scale Factor from Tri GHI:

(4/7)x = 28cm

(4/7)x (7/4) = 28cm (4/7)

x = 49cm

Hope that helps.

The standard deviation for the distribution is approximately 0.746 cups of coffee.

To find the mean of the distribution, we need to multiply each value of X by its corresponding probability, then add up the products:

Mean = (0 x 0.31) + (1 x 0.42) + (2 x 0.21) + (3 x 0.04) + (4 x 0.02)

Mean = 0 + 0.42 + 0.42 + 0.12 + 0.08

Mean = 1.04

Therefore, the mean number of cups of coffee a customer drinks with an evening meal at the restaurant is 1.04.

To find the standard deviation, we need to first calculate the variance:

Variance = \([(0 - 1.04)^2 x 0.31] + [(1 - 1.04)^2 x 0.42] + [(2 - 1.04)^2 x 0.21] + [(3 - 1.04)^2 x 0.04] + [(4 - 1.04)^2 x 0.02]\)

Variance = 0.3236 + 0.0128 + 0.0036 + 0.0504 + 0.1664

Variance = 0.5568

Then, we can find the standard deviation by taking the square root of the variance:

Standard deviation = sqrt(0.5568)

Standard deviation = 0.746

Therefore, the standard deviation for the distribution is approximately 0.746 cups of coffee.

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All possible values of ∠U   to the nearest degree are 17° and 163°.

Given that u = 330 inches, t = 990 inches and ∠T = 68°.

We need to find all possible values of ∠U. Let's solve this using the law of sines.

First, we will write the law of sines. Law of Sines:

a/sin A = b/sin B = c/sin C

Here, we will use the formula to find the unknown angle U.

Then we will solve the resulting equation to get all possible values of ∠U.

Therefore, sin U/sin 68° = 330/990

Now we will cross multiply to solve for sin U

sin U = (sin 68° * 330) / 990

sin U = 0.2929

We can now find the value of U using the inverse sine function.

Hence, U = sin⁻¹(0.2929)

U = 17.29° or 162.71°

We have two solutions because there are two angles that have a sine of 0.2929.

Therefore, the possible values of ∠U are 17° and 163°.

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The appropriate answers are: 1. Difference in differences. 2. Within-groups design. 3. Independent variable. 4. Main effect. 5. Mixed design.

1. Difference in differences: This term is related to both single independent variable designs and factorial designs. It refers to a research design used to estimate the causal effect of a treatment or intervention by comparing the differences in outcomes between a treatment group and a control group before and after the treatment.

2. Within-groups design: This term is related to either single independent variable designs or factorial designs. It refers to a research design where participants are exposed to all levels or conditions of the independent variable(s), and their performance or responses are compared within the same group.

3. Independent variable: This term is related to both single independent variable designs and factorial designs. It refers to the variable(s) manipulated or controlled by the researcher to observe its effect on the dependent variable(s).

4. Main effect: This term is related to factorial designs. It refers to the individual effect of each independent variable in a factorial design on the dependent variable(s), ignoring the interactions between the independent variables.

5. Mixed design: This term is related to factorial designs. It refers to a research design that combines within-groups and between-groups factors, allowing for the examination of both within-subject and between-subject effects in the same experiment.

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Answer:

1/6

Step-by-step explanation:

Chandler sailed 1/6 of the lake

Answer:

About .6 or 3/5 simplified

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

12 bottle is 60 rupees

each sold 6 ruppes

so 12 bottle cost 72 ruppes

12*100/60 = 20%