Cube length is 5 inches what is the shape of its face

The length of the hypotenuse is (c) 9.9 yards

From the question, we have the following parameters that can be used in our computation:

Legs = 7 yards

This means that

Opposite = 7

Adjacent = 7

The hypotenuse is then calculated using the following Pythagoras theorem

Hypotenuse = √(Opposite² + Adjacent²)

Substitute the known values in the above equation, so, we have the following representation

Hypotenuse = √(7² + 7²)

Evaluate

Hypotenuse = 9.9

Hence, the hypotenuse is 9.9 yards

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A. The. part

B. The. whole

C. The. People

D. Benchmark. percent

Yes, the equation:

y = 8

describes a function.

A function is a relation that maps elements x into elements y, such that each element x is mapped into a single value of y.

In this case, we have the equation:

y = 8

So all our points are of the form (x, 8).

Notice that all the inputs x are mapped into a single output y = 8, then this relation is a function.

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Answer: 3.2

Step-by-step explanation:

i did this

The equation of the linear relationship in slope-intercept form is: y = 2/3x + 50/3.

The equation in slope-intercept form for a linear relationship can be expressed as y = mx + b, where the slope is m and the y-intercept is b.

Using two points on the graph, (20, 30) and (50, 50), find the slope:

Slope (m) = change in y / change in x = (50 - 30) / (50 - 20)

Slope (m) = 20/30

Slope (m) = 2/3.

Find the y-intercept (b) by substituting m = 2/3 and (x, y) = (20, 30) into y = mx + b:

30 = 2/3(20) + b

30 = 40/3 + b

30 - 40/3 = b

50/3 = b

b = 50/3

Write the equation of the linear equation in slope-intercept form by substituting b = 50/3 and m = 2/3 into y = mx + b:

y = 2/3x + 50/3

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The values can be 4, 25 and -4, -25.

What is a Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

The first number be x and second number be y

Equation 1: x*y = 100

Equation 2: x - y = 21

From equation 2 we can write x = 21 + y

Substituting the value of x in equation 1

(21 + y)*y = 100

21y + y^2 - 100 = 0

y = 4, -25

this implies that x = 25, -4

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The length of the perpendicular line from side AC to point B is approximately 43cm to the nearest whole number using the trigonometric ratio of sine rule.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratio of sine to be used states that for any triangle say ABC, then (a/sinA) = (b/sinB) = (c/sinC) where a,b, and c are the sides.

Considering right-angled triangle ABC, by Pythagoras rule

AC = √(54² + 72²)

AC = √1800

AC = 90°

so using sine rule;

AC/sinB = AB/sinC

90/sin90 = 72°/sinC

C = sin^-1[(72°×sin90°)/90°] {cross multiplication}

C = 53.13°

The new triangle formed has hypotenuse 54cm with the opposite side as the length of the perpendicular line from side AC to point B(which we can call x)

hence;

sinC = x/54

sin53.13° = x/54

x = 54 × sin53.13° {cross multiplication}

x = 43.2cm

Therefore, the length of the perpendicular line from side AC to point B is approximately 43cm to the nearest whole number, by application the trigonometric ratio of sine and it's rule for triangle.

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Answer:

78(0.08n)+78

The answer options might not look exactly like this, it may be in different orders but if all these numbers are there like this it should be right

Step-by-step explanation:

When you are increasing by a percent you always turn the percent to a decimal is a formula

8%=0.08

This can be multiplied by n to show how many years

0.08n

And we multiply this by 78 since it’s 8 percent of this

78(0.08n)

And now we add 78 since the tree starts off as 78

78(0.08n)+78

Also to check when n=0 the height will be 78

78(0.08(0)+78

78(0)+78

78

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The proper order from greatest to least is option (C) I, III, IV and II

Convert each term to the decimal form

The first terms is 58/ 67

58 / 67 = 0.87

The second term is 0.58%

Convert the percentage to simple fraction

0.58% = 0.58 / 100

= 0.0058

The third term is 58%

Convert the percentage to simple fraction

58% = 58/100

= 0.58

The fourth term is 5.8%

Convert the percentage to simple fraction

5.8% = 5.8/100

= 0.058

The order from greatest to least is

0.87 > 0.58 > 0.058 > 0.0058

Hence, the proper order from greatest to least is option (C) I, III, IV and II

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The values of l, ll, lll, lV respectively,

→ 58/67, 0.58%, 58%, 5.8%

→ 0.87, 0.0058, 0.58, 0.058

Arranging them in descending order,

→ 0.87 > 0.58 > 0.058 > 0.0058

→ 0.87, 0.58, 0.058, 0.0058

→ l, lll, lV, ll

Therefore, the option (c) is correct.

The present age of Melody is 9 and her sister is 24 .

the two digit number is 39

How to find the ages of a person ?

Consider the difference between the individual's birthdate and the present day: days = current day - birth date. Age = (years 365) + (months 31) + days should be replaced with these variations. The individual's age is expressed in days. To get the age in years, divide the outcome by 365.

Let present age of melody be y and her sister age be x

Four years ago  age of Melody be (y - 4) and her sister age be (x - 4)

After six years age of Melody be (y + 6) and her sister age be (x + 6)

∴ [tex]\frac{(x-4)}{4} = (y - 4)[/tex]

[tex]\frac{(x+6)}{2} = (y + 6)[/tex]

The equation becomes

x + 6 = 2y + 12

x = 2y +6  ⇒ (1)

x - 4 = 4y -16

x = 4y - 12 ⇒(2)

Solving (1) and (2)

x - 2y = 6

x - 4y = -12

  2y = 18

    y = 9

Substituting the value of y in eq(1)

x = 2*9 + 6

x = 18 +6

x = 24

Let xy be the two digit number.  

10x + y

The value of this number is 6 less (-6) than five times the unit digit (5y).  So:

10x + y = 5y - 6

The sum of the digits of the 2-digit number is 12:

x + y = 12

So y = 12 - x

Substitute 12-x for y:

10x + y = 5y - 6

10x + 12 - x = 5(12-x) - 6      [Substituted 12-x in place of y]

9x + 12 = 60 - 5x - 6

14x = 42

x = 3

y = 12 - x

  = 12 - 3

  = 9

The two digit number is 39

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The value of x for which (-1, 4) and (x, -2) make a slope of m = 5/4 is - [tex]\frac{29}{5}[/tex]

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.

equation of straight line is y = mx + c

when x = -1, y = 4, m = 5/4

so that

4 = -1(5/4) + c

c = 4 + 5/4

4 can be written as fraction as 16/4

c = 16/4 + 5/4

Adding the numerator

c = 12/4

at x = x, y = -2

substituting

-2 = x( 5/4) + 21/4

-2 = 5x/4 + 21/4

-2 = [tex]\frac{5x + 21}{4}[/tex]

cross multiplying

5x + 21 = -8

collect like terms

5x = -8 - 21

5x = -29

x = -29/5

In conclusion, the value of x is -29/5

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Answer:

its right

Step-by-step explanation:

Answer: Its right i just got the same question

Step-by-step explanation:

Answer:

[tex]3^{7/2}[/tex]

Step-by-step explanation:

[tex]3^3 \sqrt{3} \\ \\ =3^3 \cdot 3^{1/2} \\ \\ =3^{3+\frac{1}{2}} \\ \\ =3^{7/2}[/tex]

The amount of mango juice you need is 8 litres

From the question, we have the following parameters that can be used in our computation:

Orange juice = 3 parts

Mango juice = 6 parts

When these parameters are represented as ratio, we have the following expression

Ratio = Orange : Mango

This is then represented as

Orange : Mango = 3 : 6

When the litres of orange juice is 4, we have

4: Mango = 3 : 6

Express as fraction

Mango/4 = 6/3

Multiply through by 4

Mango = 4 * 6/3

Evaluate

Mango = 8

Hence, the mango juice is 8 litres

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Answer: 1. 50 stops.

Step-by-step explanation:

There is 1,000 meters in a Kilometer. So 20,000/400=50

Answer:

1) 50 stops

2) a: 60 meters

   b: 6,000 centimeters

Step-by-step explanation:

A) we have to convert 20k into meters to solve it

To do that we multiply by 1000

20x1000

20,000 meters now we divide by 400 to see how many stops

20,000/400

50 stops

2)

to find perimeter is meters we add all of the sides together

20+10+5+5+15+5

30+10+20

30+30

60 m is the perimeter

Now in centimeters we multiply by 100

60x100

6,000 centimeters

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The zero of the function f(x) = 3x - 9 is x = 3.

The zero of the function f(x) = -x + 4 is x = 4.

The zero of a function is any replacement for the variable that will produce an answer of zero.

Therefore, let's find the zero of the function f(x) = 3x - 9.

0 = 3x - 9

add 9 to both sides of the equation

0 + 9 = 3x - 9 + 9

9 = 3x

divide both sides by 3

x = 9 / 3

x = 3

The zero of the function is x = 3.

Therefore, let's find the zero of the function f(x) = -x + 4.

0 = - x + 4

subtract 4 from both sides of the equation

0 - 4 = -x + 4 - 4

-4 = - x

x = 4

The zero of the function is x = 4.

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when y equals zero, x equals -2

or, at y = 0, the function touches the x-axis at -2

The solutions of the absolute value equations are:

1) |3x - 1| - |2x + 5 - 5 + x| = 0

x = 1/6

2) |2*(x + 1) - 4| = |2 - 2*(2 - x)|

x can be any real number.

3) | (x - 2)/4 | - 1/3 = x

This absolute value equation has two solutions, these are:

x = 2/15

x = -10/9

Here we need to solve some absolute value equations, the first one is:

|3x - 1| - |2x + 5 - (5 - x)| = 0

First, we need to simplify the arguments of both absolute values, then we get:

|3x - 1| - |2x + 5 - 5 + x| = 0

|3x - 1| - |3x| = 0

|3x - 1| = |3x|

Now we can remove the absolute value parts, obviusly this is ony true if the right part is negative:

3x - 1 = -3x

-1 = -3x - 3x

-1 = -6x

-1/-6 = x

1/6 = x

That is the solution of the first equation.

2) The second part is:

|2*(x + 1) - 4| = |2 - 2*(2 - x)|

Simplify this:

|2x + 2 - 4| = |2 - 4 + 2x|

|2x - 2| = |2x - 2|

this is true for all values of x, we have the same thing in both sides.

3)

| (x - 2)/4 | - 1/3 = x

|(x - 2)/4| = x + 1/3

We can separate the absolute value part in two equations:

(x - 2)/4 = x + 1/3

(x - 2)/4 = -(x + 1/3)

The first equation gives:

(x - 2) = 4*x + 4/3

x - 4x = 4/3 + 2

-3x = 4/3 + 6/3

x = (10/3)*(-1/3) = -10/9

The second equation gives:

(x - 2)/4 = -(x + 1/3)

(x - 2) = -4*(x + 1/3)

x - 2 = -4x - 4/3

x + 4x = 2 - 4/3

5x = 2/3

x = 2/3/5 = 2/15

This equation has two solutions, x = 2/15 and x =  -10/9

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The amount of points of each question in each part are given as follows:

It is stated in the problem that:

Hence the amount of points of each part is the least common multiple of 6 and 8, obtained by factoring by prime factors as follows:

6 - 8|2

3 - 4|2

3 - 2|2

3 - 1|3

1

Hence:

lcm(6,8) = 2³ x 3 = 24.

Meaning that each part was worth 24 points, and the number of questions is given as follows:

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AP Statistics students generally scored very well on questions about Units 1, 2, and 3, with 18% of students answering all such questions correctly.” “The most challenging units were 4 (Probability, Random Variables, and Probability Distributions) and 5 (Sampling Distributions).

Hope it helps you.

The hardest part of AP stats is Physics 1, AP U.S. History and AP Chemistry.

The course and exam for AP Statistics frequently prove to be difficult, especially for students who have not previously taken algebra II or calculus.

Newtonian mechanics, electrical charge and force, and other subjects are covered in AP Physics 1, which is regarded as one of the hardest AP courses. Students also complete college-level lab experiments and write reports for around 25% of the class period.

In general, AP Statistics students  do find it hard or difficult in "Probability, Random Variables, and Probability Distributions Unit 4 and Unit 5.

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The unit price for A is 3.57 ounce per dollar and the unit price for B is 3.4 ounce per dollar and A is better than B.

According to the question,

We have the following information:

A certain shampoo is available in two sizes. A 14.2 - ounce bottle costs $3.98. A 33.9 -ounce bottle costs $9.98.

Unit price of A:

14.2 ounce = $3.98

1 dollar = 14.2/3.98 ounce

Unit price for A = 3.57 ounce per dollar

Unit price for B:

33.9 ounce = $9.98

1 dollar = 33.9/9.98

Unit price for B = 3.4 ounce per dollar

Now, the unit price for A is greater than the unit price for B. So, size A is better.

Hence, the unit price for A is 3.57 ounce per dollar and the unit price for B is 3.4 ounce per dollar and A is better than B.

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The probability that a randomly selected firm will earn less than 22 million dollars is 0.8557

The probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean

The z score is given by the formula

z = (X - μ) / σ

Definition of variables

mean, μ  = 20 million dollars = 20 m

standard deviation, σ = 11 million dollars = 11 m

The probability

differ from the population proportion by less than 22 m

X < 22 m

z score

z = (22 - 20) / 11

= 0.181818

p value for z < 0.181818 = 0.85573

The probability required = 0.8557

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The standard errors for the sample sizes of 440, 230, and 1200 are 1.2, 1.65, and 0.72, respectively.

The mean of the population is μ = 90. The standard deviation of the population is σ = 25. We are given three sample sizes. We need to compute the standard error for each sample size.

The standard error is computed by dividing the standard deviation by the square root of the sample size. It calculates the accuracy of a sample mean by factoring in sample-to-sample variability.

Let S1, S2, and S3 represent the standard errors for the sample sizes of 440, 230, and 1200, respectively.

S1 = σ/√n

S1 = 25/√440

S1 = 1.2

S2 = σ/√n

S2 = 25/√230

S2 = 1.65

S3 = σ/√n

S3 = 25/√1200

S3 = 0.72

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The rate that Joe’s distance from the start of the path is changing with respect to time, in yards per minute is; 1.91 yards per minute

We are given the equation that represents Joe’s distance from the start of the path as;

D = 4s²/(5s + 10)

where;

D is distance measured in yards.

s is the total number of steps Joe has taken.

When s = 200, we have;

D = 4(200²)/(5(200) + 10)

D = 158.4158 yards

We are old that the constant rate is;

s/t = 100 steps per minute

From conversion rates, we know that , we know that;

1 step = 0.83 yards

Thus; 100 steps per minute = 83 yards per minute

Thus;

83 yards = 1 minute

Time for D = 158.4158 yards is;

158.4158 yards/83 yards per minute = 1.91 minutes

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Answer:

Chips are $0.80 a bag

A bottle of water is $1.60

A gallon of milk costs $3.80

Step-by-step explanation:

Answer:

$3.80 = cost of one gallon of milk.

$1.60 = cost of one bottle of water.

$0.80 = cost of one snack-size bag of chips.

Step-by-step explanation:

Define the variables:

Total items purchased:

Given information:

Create a system of equations with the given information:

[tex]\begin{cases}3x+4y+7z=23.40\\y=2z\\x=y+2.20\end{cases}[/tex]

Rearrange the second equation to make z the subject:

[tex]\implies z=0.5y[/tex]

Substitute the found expression for z and the third equation into the first equation and solve for y:

[tex]\implies 3(y+2.20)+4y+7\left(0.5y\right)=23.40[/tex]

[tex]\implies 3y+6.6+4y+3.5y=23.4[/tex]

[tex]\implies 10.5y+6.6=23.4[/tex]

[tex]\implies 10.5y=16.8[/tex]

[tex]\implies y=1.60[/tex]

Substitute the found value of y into the third equation and solve for x:

[tex]\implies x=1.60+2.20[/tex]

[tex]\implies x=3.80[/tex]

Substitute the found value of y into the second equation and solve for z:

[tex]\implies 1.60=2(z)[/tex]

[tex]\implies z=0.80[/tex]

Conclusion:

Answer:

[tex]-2x+4[/tex]

Step-by-step explanation:

[tex]g(x)=f(x)+3=-2x+1+3=-2x+4[/tex]

Answer:

See attached file

Step-by-step explanation:

See attached file for the answer!

If you need help with more like these, I would suggest checking out Khan Academy.

They provide great free videos on every topic you could imagine!

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