Which expression is equivalent to -a + 6 - 9a + 10?

The inequality which represents the speed of the driving of willow is y <= 75.

What is the inequality equations?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have,

The fastest driving speed of Willow is 75 miles per hour,

There is a bit of traffic on her route that might slow her speed down,

so, the inequality which represents the speed of the willow is:

y <= 75.

Hence, the inequality which represents the speed of the driving of willow is y <= 75.

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ANSWER

Length of the playing alley = 9m

Width of the playing alley = 3m

STEP-BY-STEP EXPLANATION:

Given information

The perimeter of a rectangular playing alley = 24 m

The length of the alley is three times the width

Let l represents the length of the alley

Let w represents the width of the alley

Step 1: Write the formula for calculating the perimeter of a rectangle

Where l is the length and w is the width of the rectangle

Recall, length = 3 times the width of the alley

Mathematically,

Step 2: Substitute the value of l = 3w into the above formula

Step 3: Solve for w

From the calculations above, you will see that the width of the playing alley is 3m

Step 4: Solve for l

Hence, the length of the playing alley is 9m

Answer:

D

Step-by-step explanation:

Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica

The probability of the union of high school students of trying out for either volleyball or swimming is 0.9. Option C is correct.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The conditional probability is the happening of an event, when the probability of occurring of other event is given. The probability of event A, given that the event B is occurred.

Students of high school who attend Springfield Women's Academy are eligible to tryout for various teams within the athletic department. In this,

Let the tryout for volleyball is event A and tryout for swimming is event B. Thus,

P(A)=0.27

P(B)=0.88

Many students choose to tryout for multiple teams. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

Thus, probability of the union of trying out for either volleyball or swimming

P(A or B)=P(A)+P(B)-P(A and B)

P(A or B)=0.27+0.88-P(A)*P(B)

P(A or B)=0.27+0.88-0.27×0.88

P(A or B)=0.9

Hence, the probability of the union of high school students of trying out for either volleyball or swimming is 0.9. Option C is correct.

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Answer:

100.48ft

Step-by-step explanation:

Use circumference formula

C=2(pi)r

Answer:

Multiply (3x - 5x) by 3

Step-by-step explanation:

First Step:

Multiply (3x - 5x) by 3

Answer:

70%

Step-by-step explanation:

Given data

Last years worth of vanishing potion= $82

This years worth of vanishing portion= $118

Note: Another way of asking this question is "what percent of $82 is $118"

So

=82/118*100

=0.69*100

=69%

=70% approx

Hence last years sale is 70% of this year's sales

To compute the performance measures using the Naive Forecast, we need to use the actual values from April to December.

ME (Mean Error) is the average of the forecast errors. To compute it, we subtract the actual values from the forecasts and take the average. In this case, since we are using the Naive Forecast, the forecast for each month is equal to the actual value of the previous month. Therefore, we have:

ME = (1086 - 1008) + (1081 - 1086) + (1036 - 1081) + (1058 - 1036) + (1128 - 1058) + (1113 - 1128) + (1027 - 1113) + (1021 - 1027) + (1081 - 1021) = -29

The MSE (Mean Squared Error) is the average of the squared forecast errors. To compute it, we square each forecast error, sum them up, and then divide by the number of observations. In this case, we have:

MSE = [(1086 - 1008)^2 + (1081 - 1086)^2 + (1036 - 1081)^2 + (1058 - 1036)^2 + (1128 - 1058)^2 + (1113 - 1128)^2 + (1027 - 1113)^2 + (1021 - 1027)^2 + (1081 - 1021)^2] / 9 = 2218

MAD (Mean Absolute Deviation) is the average of the absolute forecast errors. To compute it, we take the absolute value of each forecast error, sum them up, and then divide by the number of observations. In this case, we have:

MAD = (|1086 - 1008| + |1081 - 1086| + |1036 - 1081| + |1058 - 1036| + |1128 - 1058| + |1113 - 1128| + |1027 - 1113| + |1021 - 1027| + |1081 - 1021|) / 9 = 33

MAPE (Mean Absolute Percentage Error) is the average of the absolute forecast errors as a percentage of the actual values. To compute it, we divide each absolute forecast error by the actual value, sum them up, and then divide by the number of observations. In this case, we have:

MAPE = (|1086 - 1008| / 1008 + |1081 - 1086| / 1086 + |1036 - 1081| / 1081 + |1058 - 1036| / 1036 + |1128 - 1058| / 1058 + |1113 - 1128| / 1128 + |1027 - 1113| / 1113 + |1021 - 1027| / 1027 + |1081 - 1021| / 1021) / 9 * 100 = 2.99%

The Tracking Signal is the ratio of the cumulative forecast errors to the MAD. To compute it, we sum up the forecast errors and divide by the MAD. In this case, we have:

Tracking Signal = (-29) / 33 = -0.88

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Answer:

$9 an hour

Step-by-step explanation:

Answer:

The total would be 40.53

Or

Solve for the first variable in one of the equations, then substitute the result into the other equation.

x  =  3  −  4 y

Step-by-step explanation:

This question is incomplete so

The store clerk is stocking the shelves. He places on the shelf a box of cereal that weighs 850 grams, a box of granola bars that weighs 385 grams, and a box of crackers that weighs 435 grams. The total weight in kilograms is 1.67 kilograms.

Given:

The weight of the box of cereal = 850 grams.

The weight of the box of granola bars = 385 grams.

The weight of the box of crackers = 435 grams.

The total weight in kilograms of the above boxes.

Total weight of the boxes = 850 + 385 + 435 grams= 1670 grams.

To convert grams to kilograms, we divide it by 1000.

So, the weight in kilograms= 1670/1000= 1.67 kilograms.

Hence, the total weight in kilograms of the above boxes is 1.67 kilograms.

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In an instruction like "z = x y," the symbols x, y, and z are examples of variables.

Variables are placeholders that represent unknown or changing values in mathematical expressions or equations. They allow us to generalize mathematical relationships and solve problems using algebraic methods.

In mathematics, variables are symbols that represent unknown or varying quantities. They are used to express mathematical relationships, equations, and formulas.

In the given instruction "z = x y," the symbols x, y, and z are variables.

In this case, x and y represent the input values, and z represents the output or result of the mathematical operation defined by the equation.

Variables are used extensively in algebra to solve equations, manipulate expressions, and analyze mathematical relationships. They enable us to express and solve problems symbolically, without knowing the specific values of the variables.

By assigning specific values to variables, we can evaluate expressions, solve equations, and find solutions to mathematical problems.

Variables can represent a wide range of quantities, including numbers, measurements, constants, or even abstract concepts. They provide flexibility and generality in mathematical modeling and problem-solving.

By using variables, we can establish connections between different mathematical quantities and derive meaningful conclusions based on their relationships.

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We are required to find the cost of stack that has the same height as mount Logan(19,500 ft).

The cost of stack that has the same height as mount Logan(19,500 ft) is $17,550

convert feet to inches

1 foot = 12 inches

19,500 ft = 234,000 inches

Each stack of 40 in high cost $3

Height of stack : cost = 40 : 3

let

x = cost of 19,500 ft high

Recall,

19,500 ft = 234,000 inches

Height of stack : cost = 234,000 : x

Equate the ratios

40 : 3 = 234,000 : x

40 / 3 = 234,000 / x

cross product

40 × x = 234,000 × 3

40x = 702,000

divide both sides by 40

x = 702,000 / 40

x = $17,550

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The respective names of the point of concurrency is:

1. Circumcenter

2. Incenter.

3. Centroid

4. Orthocenter

Point of concurrency:

The point of concurrency is a point where three or more lines or rays intersect with each other.

Circumcenter:

The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.

Incenter:

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.

Centroid:

The point where three medians of the triangle meet is known as the centroid.

Orthocenter:

The point where three altitudes of the triangle meet is known as the orthocenter.

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The real number √21 is an example of an irrational number. (Correct choice: C)

According to number theory, real numbers are formed by the following sets:

Then, by direct inspection we get the following conclusions:

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Answer:

\(\large\boxed{\mathtt{x=8}}\)

Step-by-step explanation:

\(\textsf{For this problem, we are asked to solve for x.}\)

\(\textsf{Note that our equation is in word form, let's change it into numerical form.}\)

\(\large \tt { {4 \ plus \ 3 \ eighths \ x \ equals \ seven. } \atop {4+ \frac{3}{8} x = 7. } }\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Our goal is to find x. We should isolate x where its alone on the left side.}\)

\(\underline{\textsf{How?}}\)

\(\textsf{Simply subtract 4 from both sides to isolate x.}\)

\(\large\underline{\textsf{Isolating x;}}\)

\(\tt 4 - 4 + \frac{3}{8} x = 7 - 4\)

\(\underline{\textsf{We should have;}}\)

\(\tt \frac{3}{8} x = 3\)

\(\textsf{We don't know the value of x yet. We only know 3/8 of x.}\)

\(\textsf{For x to equal 1, multiply both sides of the equation by the \underline{reciprocal} of the fraction.}\)

\(\large\underline{\textsf{What is a Reciprocal?}}\)

\(\textsf{A Reciprocal is a \underline{fraction} where the Numerator and the Denominator \underline{flip}.}\)

\(\underline{\textsf{For example;}}\)

\(\large \tt {Flip \ the \ Numerator \ and \ the \ Denominator.} \atop {The \ Reciprocal \ of \ \frac{5}{4} \ is \ \frac{4}{5}.}\)

\(\large\underline{\textsf{Find the Reciprocal of} \ \frac{3}{8};}\)

\(\tt{ The \ Reciprocal \ of \ \frac{3}{8} \ is \ \frac{8}{3}.}\)

\(\underline{\textsf{Multiply;}}\)

\(\tt \frac{8}{3} \times \frac{3}{8} x = 3 \times \frac{8}{3}\)

\(\large\boxed{\mathtt{x=8}}\)

\(\huge\text{Hey there!}\)

\(\huge\textbf{Question reads:}\)

\(\large\textsf{Four plus three eighths x equals seven}\)

\(\huge\textbf{Equation should look like:}\)

\(\mathtt{4 + \dfrac{3}{8}x = 7}\)

\(\huge\textbf{How will we solve for it?}\)

\(\mathtt{4 + \dfrac{3}{8}x = 7}\)

\(\mathtt{\dfrac{3}{8}x + 4= 7}\)

\(\large\text{SUBTRACT 4 to BOTH SIDES:}\)

\(\mathtt{\dfrac{3}{8}x + 4 - 4 = 7 - 4}\)

\(\large\text{CANCEL out: 4 } \rm{-}\large\text{ 4 because it gives you 0.}\)

\(\large\text{KEEP: 7 }\rm{-}\large\text{ 4 because it help us solve for the x}-\large\text{value.}\)

\(\mathtt{\dfrac{3}{8}x = 7 - 4}\)

\(\mathtt{\dfrac{3}{8}x = 3}\)

\(\large\text{MULTIPLY }\rm{\dfrac{8}{3}\large\text{ to BOTH SIDES:}\)

\(\mathtt{\dfrac{3}{8}x\times\dfrac{8}{3} = 3\times\dfrac{8}{3}}\)

\(\large\text{CANCEL out: }\rm{\dfrac{3}{8}\times\dfrac{8}{3}\large\text{ because it gives you 1.}\)

\(\large\text{KEEP: }\rm{3\times\dfrac{8}{3}\large\text{ because it gives the x}\rm{-}\large\text{value.}\)

\(\mathtt{x= 3\times\dfrac{8}{3}}\)

\(\mathtt{x= \dfrac{3}{1}\times\dfrac{8}{3}}\)

\(\mathtt{x = \dfrac{3\times8}{1\times3}}\)

\(\mathtt{x = \dfrac{24}{3}}\)

\(\mathtt{x = 24\div3}\)

\(\mathtt{x = 8}\)

\(\huge\textbf{What is the overall answer?}\)

\(\huge\boxed{\mathtt{x = 8}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

x = -55

Step-by-step explanation:

Subtract 7 on both sides first to get to this equation, x/5 = -11.  Since there is a fraction on the left side, you have to multiply 5 on both sides to get your x-value which is -55.

Answer:

5758cm² is them all together

Step-by-step explanation:

square: 4489cm²

rectangle: 1269cm²

(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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If another player catches the ball when it is 3 feet above ground. the time  the ball stayed in the air is: 5.67s.

Vertical motion model formula

h = -16t² + vt + s

where:

v = initial velocity in feet/second

s = height in feet

3 =  -16t² + 90t + 7

16t² -90t -7+3 =0

16t² -90t -4 =0

8t² + 45t - 2=0

Using quadratic equation formula

t =-b±√b-4ac ÷2a

t = -(-45)±√(-45)² - 4 (8) (-2) ÷ 2(8)

t =45±√-2025 -(-64) ÷ 16

t =45±√2089 ÷ 16

t= 45±45.71 ÷ 16

Hence,

t1 = 45 - 45.71 ÷ 16

t1 = -0.71÷ 16

t1 = -0.04

t2= 45 +45.71 ÷ 16

t1 = 90.71÷ 16

t1 = 5.67s

Therefore  5.67 seconds is how long the ball stayed.

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Answer:

The ball is in the air for about 5.67 seconds.

Step-by-step explanation:

Answer:

We know that the hotel charges 12.5% in taxes (or 0.125 in decimal form).

Then if the initial cost of the hotel, without taxes, is a, the price with taxes will be:

f(a) = a + 0.125*a = 1.125*a

And the hotel also charges a fee of $25 for each day (that is not subject to taxes) then if the total cost, with taxes, is b, the actual cost will be:

g(b) = b + 25.

Then:

a = The cost of the hotel room without sales tax or the resort fee.

f(a) and b= The cost of the hotel room and sales tax, but without the resort fee

g(b) = The cost of the hotel room, with sales tax and the resort fee.

Answer:

4. Buy at a local store where the item’s regular price is $58 and it is on sale for 10% off

Step-by-step explanation:

For the sake of someone needing help present time this is how you do it;

1st- 50 + (.89 x 11) = 59.79

2nd- 57 + (.49 x 11) = 62.39

3rd- 60 - 5 = 55

4th- 58 - 10% or 58 x .10 = 52.2: Lowest Answer

A violation of substantive due process (B)A new law fines book publishers for printing content that is considered unpatriotic. A drug dealer with several prior convictions is sent to prison without a trail.

The procedural rights guaranteed by the United States Constitution ensure that all citizens are treated equally before the law. For example, all citizens have the right to a lawyer, to a public and speedy trial, to have their case judged by a jury of their peers, etc.

In Scenario B, the drug dealer's rights are violated by law enforcement. Even if he has a criminal record, law enforcement has no right to immediately throw him in jail.

Due process is the application of all legal rules and principles relating to a case by the state to uphold all legal rights of individuals. Due process balances the power of the laws of the land and protects individuals against the laws. When the government harms a person without following the exact procedure of the law, it is a violation of due process and violates the rule of law.

It is the constitutional process in which the federal government before denying a citizen the right to life, liberty, or freedom, must give proper notice to the person, the opportunity of being heard, and the decision is taken without any discrimination. The act which violates the Procedural due process is giving a driver a traffic ticket without telling him, his right, i.e, can appeal in court against it.

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Answer:

\(3.5 - 2 \times 100 \div 2\)

Answer:

The percentage increase in the puppy's weight is 75%.

Step-by-step explanation:

We can find the percentage increase using the following formula:

\(\boxed{\% \space\ \mathrm {increase = \frac{final \space\ - \space\ initial}{initial} \times 100}}\).

In this case,

• initial = 2 kg

• final = 3.5 kg

Substituting these values into the formula:

\({\% \space\ \mathrm {increase = \frac{3.5 \space\ - \space\ 2}{2} \times 100}}\)

                ⇒ \(\frac{1.5}{2} \times 100\)

                ⇒ \(0.75 \times 100\)

                ⇒ 75%

Answer:

The first group has 20 and the second group has 8.

Step-by-step explanation:

1. Twice as many as 8 is 16  (8x2)

2. If you add four to the total it's 20 (16+4=20)

3. So group one has four more than twice as many as group 2.

Answer:5

Step-by-step explanation:

The volume of a solid is  \(\frac{26}{3} \pi\).

Given

The given curves about the specified line. y = x + 1, y = 0, x = 0, x = 2; about the x-axis

Curve is y = x + 1

Line is y = 0

We have to find out the volume v of the solid obtained by rotating the region bounded by these curves.

If the region bounded above by the graph of f, below by the x-axis, and on the sides by x=a and x=b is revolved about the x-axis, the volume V of the generated solid is given by \(V = \pi \int\limits^b_a {(f(x))^{2} } \, dx\). We can also obtain solids by revolving curves about the y-axis.

Volume of a solid:

According to washer method:

\(V = \pi \int\limits^b_a {(f(x))^{2} } \, dx\)

Using washer method, where a=0 and b=2, we get

V = \(\pi \int\limits^2_0 {(x+1)^{2} } \, dx\)

= \(\pi[ \frac{(x+1)^{3} }{3} ]0 \ to \ 2\)

= \(\pi [\frac{(3+1)^{3} }{3} -\frac{(0+1)^{3} }{3}]\)

= \(\pi [\frac{27}{3} -\frac{1}{3} ]\)

= \(\pi [\frac{26}{3}]\)

= \(\frac{26}{3} \pi\)

Therefore the volume of a solid is  \(\frac{26}{3} \pi\).

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