Mamadou leans a 18-foot ladder against a wall so that it forms an angle of 75° with
the ground. What's the horizontal distance between the base of the ladder and the
wall?

Answer:the line x+y<10 has a negative slope and a positive y intercept

The line representing 20x+25y>200 is solid and the graph is shaded above line

The overlapping region contains the point (4,5)

Step-by-step explanation:

;)

Answer:

The answers are B, C, and E.

Step-by-step explanation:

I got it right on edge

Answer:

18.66

Step-by-step explanation:

This shape can be split into two rectangles.

the two rectangles can be labeled as Rectangle A, and Rectangle B.

\(1.8cm \times 6.4cm = 11.52cm\)

\(3.4cm \times 2.1cm = 7.14cm\)

Then, the area of both rectangles can be added to give the area of the shape.

\(11.52cm + 7.14cm = 18.66cm\)

Answer:

a) -7/9

b) 16 / (n² + 15n + 56)

c) 1

Step-by-step explanation:

When n = 1, there is only one term in the series, so a₁ = s₁.

a₁ = (1 − 8) / (1 + 8)

a₁ = -7/9

The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.

sₙ = sₙ₋₁ + aₙ

(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ

(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ

aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)

If you wish, you can simplify by finding the common denominator.

aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]

aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)

aₙ = 16 / (n² + 15n + 56)

The infinite sum is:

∑₁°° aₙ = lim(n→∞) sₙ

∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)

∑₁°° aₙ = 1

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Answer:

\(x \leq -4\)

There will be a filled-in hole at -4.

Step-by-step explanation:

We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)

\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)

The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.

For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.

In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.

A filled-in hole means the number is included in the inequality, while an empty one means it isn't.

In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.

Solving for N is an illustration of subject of formula, and the equation of N is N = 1 + (S - A)/D

The equation of S is given as:

S = A+(N-1) D

Subtract A from both sides

S - A = (N-1) D

Divide both sides by D

(S - A)/D = N-1

Add 1 to both sides of the equation

N = 1 + (S - A)/D

Hence, the equation of N is N = 1 + (S - A)/D

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Answer:

2x+2y=52

x*y=120

Step-by-step explanation:

Answer: 11 hours

Step-by-step explanation:

22/2 = 11

Answer:

convergent

Step-by-step explanation:

Answer: 0.166666667 yards OR 0.1524 meters OR 0.5 feet

Step-by-step explanation:

1 / 6 = 0.166666667 yards

1 yard = 0.9144 meters

0.9144 / 6 = 0.1524 meters

1 yard = 3 feet

3 / 6 = 0.5 feet

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

Answer: (6,-6)

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula:

Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

M = ((x1+x2)/2, (y1+y2)/2)

Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:

4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6

-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6

Therefore, point B has coordinates (6, -6).

As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.

Answer:

Step-by-step explanation:

If the order you select them is important

nmber of ways = 9! / (9-7)!

= (9*8*7*6*5*4*3*2*1) / (2*1)

= 9*8*7*6*5*4*3

= 181,440.

If the order does not matter:

nmber of ways = 9! / ((9-7)! * 7!)

= 9*8 / 2*1

= 36.

If you take the answer, 2786 and multiple by 21

You get 58,506

Which if you subtract from 58,511 you would get 5

Which is r

Answer:

20

Step-by-step explanation:

Answer:

8 mi per in.

Step-by-step explanation:

Divide 24 mi by 3 in. to get base number of 1 in. per x mi

24/3 = 8

8 mi per in.

Answer:

when adding fractions make sure the bottom number is the same

so for number 2 make sure both are 4 on the bottom of the fraction by multiplying by 2 maybe 1/4+2/4 that would equal 3/4 not 1

Answer:

Step-by-step explanation:

1/2+1/4=0.75 less than 1

3/6+2/3=1.17 greater than 1

2/4+1/3=10/12 less than 1

mark brainliest thx

Answer:

24feet

Step-by-step explanation:

the first rope well give it letter X and the longer rope we'll give it 2x since it's twice then we add the two unknown numbers which must lead to a total of 36feet when we add the unknown digits we'll get 3x then simply the unknown digit with the total and u'll get 12 replace the X from the first letters with 12by multiplying

Step-by-step explanation:

Well it would be 8.75 ×7 which is 61.25m

Answer:

blue option

Step-by-step explanation:

4 times as many as the other

total of 1550 yards

x and y represent the individual players' yards rushed

y+x=1550

or

x+y=1500

and

y=4x

or

x=4y

the option we have is x+y=1500 and y=4x, which is option blue

Let x and y be the number of yards each team runned. In a way that y>x.

Combined they runned 1550 yards, so:

\(x+y=1550\)

And one of them is 4 times higher than the other, so:

\(x = 4\cdot y\)

So the system will be:

\(\begin{cases}x+y=1550 \\y = 4x \\\end{cases}\)

Answer:

  B. The graph of K has a greater y-intercept

  D. The graph of J has a greater slope.

Step-by-step explanation:

Given a table for function J and an equation for function K, you want to know which has the greater slope, and which has the greater y-intercept.

The y-intercept is the value of the function when x=0. We see from the table that y=2 corresponds to x=0 for function J.

We see from the equation for function K that the constant is 8. This is the value of y when x=0.

Function K has the greater y-intercept (8 vs. 2).

The slope is the change in y-value when x increases by 1 unit. We see from the table that y=7 when x=1, so the change in y from x=0 to x=1 is 7-2 = 5. The slope of function J is 5.

The equation for function K has an x-coefficient of 3. This means a change in x of 1 unit will result in a change in y of 3 units. The slope of function K is 3.

Function J has the greater slope (5 vs. 3).

Additional comment

Both functions are graphed in the attachment. The y-intercepts have their points labeled. The graph with the steeper slope is the blue line, function J.

ANSWER:

C)

STEP-BY-STEP EXPLANATION:

With the help of the statement, we can conclude that the equation is the following because the value of 0.12 must go together with the x, and that the total value must be 44.36

Options : (–3, –18) (–0.5, –3) (0, 0) (0.5, 3)

Answer: (0, 0)

Step-by-step explanation:

Given the following :

X = Number of books he ordered

Y = total weight of the book in ounces

Weight of each book = 6 ounces.

From the options provided,

(–3, –18) (–0.5, –3) (0.5, 3) aren't feasible options because of the following reasons.

The number of books ordered must be a whole number as it is impossible to order fraction of a book, hence, the ordered pair, (-0.5, - 3) and (0.5, 3) aren't viable solutions.

Also, the option (–3, –18) portrays a negative value and the number of books a person orders cannot be negative. Hence, the viable solution should be a positive whole number.

The only solution which seems viable is (0, 0) with x being 0 and y also. 0

If x = Number of books he ordered = 0

Ultimately, the total weight of the book in ounces will be (weight per book * number of books ordered)

= (6 ounces × 0) = 0

Hence, (0,0)

Answer:

14

Step-by-step explanation:

Answer:

A, x=14

Step-by-step explanation:

We know that <HJL is a right triangle, therefore 90 degrees.

<HJK + < KJL = <HJL

<HJK + 50 = 90

<HJK = 40

We replace HJK with 3x-2

3x-2 =40

3x=42

x= 14, A

I hope this helped! :)

Answer:

x intercept: (-8,0)

y intercept: (0,2)

when calculating present value, the _____ interest rate, the smaller the present value amount.

* smaller

* larger,✓

The correct value is,

''When calculating present value, the smaller the interest rate, the smaller the present value amount.''

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

To calculating the present value, The smaller the present value.

Now,

The correct value is,

''When calculating present value, the smaller the interest rate, the smaller the present value amount.''

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Answer:

C)

Step-by-step explanation:

The line is in the form of y = ax + b, which (a) part is just the slope, so the slope is 3/4.

Answer:

3/4

Step-by-step explanation:

Y=mx+b

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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