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Jordan is a manager of a car dealership. He has two professional car washers, Matthew and Arianna, to clean the entire lot of cars. Matthew can wash all the cars in 14 hours. Arianna can wash all the cars in 11 hours. Jordan wants to know how long it will take them to wash all the cars in the lot if they work together. Write an equation and solve for the time it will take Matthew and Arianna to wash all the cars together. Explain each step.

By definition, i = sqrt(-1) because it is used to solve the equation x^2+1 = 0 or x^2 = -1, which has no real number solutions.

Since i is imaginary or complex, then so is 2i

You can express it as 2i = 0+2i to be in the form a+bi with a = 0 as the real part and b = 2 as the imaginary component.

Answer:

86%

Step-by-step explanation:

77% students are good students after 10 students join the school.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The number of sophomores in the school = 100

Also, the percentage of good students = 85%

So, number of good students = 100x85/100 = 85

If 10 students join the group,

Then total number of students = 100+10 =110

Percentage of good students = 85 x 100/110

= 77.181

= 77%(round to whole number)

The percentage of good students is 77% in school.

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Answer:

The correct answer is option C, 228 feet

Step-by-step explanation:

As per Newton’s third law of motion:

V2 – U2 = 2 x a x S

Where V = final velocity

U = Initial Vlocity

a = acceleration (-ve)

S= distance travelled

V= 0 mph

U= 55 mph = 80.6667 ft /sec

0 – (80.6667 ft /sec)2 = 2 x (-g/2) x S

S = (80.6667 ft /sec)2 /(32.2 feet per second per second x0.5)

S = 202.1 feet

So the most nearest option is option C

Answer:

-7.77778

If you use google it will help u

Answer:

[tex]0\leq x\leq 6[/tex]

[tex]0\leq y\leq 48[/tex]

Step-by-step explanation:

we are given

speed =8 mph

time = 6 hours

so, we have

[tex]x=6[/tex]

now, we can find distance

distance = (speed)*(time)

[tex]distance=8\times 6 miles[/tex]

[tex]distance=48 miles[/tex]

so, we have

[tex]y=48 miles[/tex]

so, our range for x and y can be

[tex]0\leq x\leq 6[/tex]

[tex]0\leq y\leq 48[/tex]

Answer:

Step-by-step explanation:

It is the first one because a parabola cannot go sideways from a funtion because there are more than one y values for each x value

Change the mixed numbers to the impropert fractions:

[tex]4\dfrac{2}{3}=\dfrac{4\cdot3+2}{3}=\dfrac{14}{3}\\\\11\dfrac{1}{4}=\dfrac{11\cdot4+1}{4}=\dfrac{45}{4}[/tex]

[tex]4\dfrac{2}{3}\cdot11\dfrac{1}{4}=\dfrac{14}{3}\cdot\dfrac{45}{4}=\dfrac{7}{1}\cdot\dfrac{15}{2}=\dfrac{105}{2}=52\dfrac{1}{2}\to\boxed{D.}[/tex]

Answer:

5x + 2x = -7  

3y - 4y = -6

Step-by-step explanation:

Given the matrix, we can multiply across the constant matrix and down the  variable matrix

5x +2y = -7

3x -4y = -6

Answer: (C)

Step-by-step explanation:

When multiplying matrices:

Row 1 x Column 1 = the value in Row 1 Column 1

Row 2 x Column 1 = the value in Row 2 Column 1

Combine the two equations to get:

[tex]\left \{ {{5x + 2y = -7} \atop {3x - 4y = -6}} \right[/tex]

Answer:

Step-by-step explanation:

General Remark

Let's start with the long way.

Each day 1 traditional candle (shamash) is lit along with a number of candles representing that day of Chanukah. I'm taking it that a new Shamash candle must be used each day.

Total Candles = 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 44

Givens

Formula

Sum = (a + L)*n/2

Solution

If this is wrong can you tell me what assumption I'm making that  is incorrect.

Answer: Your answer is Hanukkah

A given angle measures 90°.. Then, note that the total measurement of the triangle is 180°... Subtract 180° by 90°, and the other angles must add up to 90°!  

Good luck!

Answer:

6

Step-by-step explanation:

If GH equals 20 so does HE so 3x6+2=20

Answer:

x=6

Step-by-step explanation:

given that DEFG is a parallelogram and the diagonals bisect at H.

Since diagonals bisect each other in a parallelogram, we have

DH = HF and EH = HG.

GH=20 is given.  i.e. 3x+2 = 20

Subtract 2

3x = 18

Divide by 3

x =6

so answer is x =6.

We can find value of y also.  DH =HF=4x+1

i.e. 2y+6 = 25

y = 9.5

Answer: 35

Step-by-step explanation: This answer, wants a number just greater than 30 not equal to. The symbol > means just greater than, however the symbol ≥ means greater than or equal to.

Answer:

$35

Step-by-step explanation:

Any value of b  greater than $30 would be a solution.  Only one of the four listed possible answers satisfies that:  $35.

The basic consumer right includes "Right to be informed" that states the availability of information required for weighing alternatives, and protection from false and misleading claims in advertising and labeling practices.

Hence, the sentence "Steven allows customers to look at different products and verify the product details before choosing a product. Steven’s priority is satisfied customers" - justifies the definition of consumer rights.

So, this above sentence highlights the protection of consumer rights.

The sentences that highlight the protection of consumer rights are explained in the answer.

The sentences that highlight the protection of consumer rights are:

These sentences illustrate the importance of allowing customers to make informed choices and verify product details, which are fundamental consumer rights.

Answer:

Correct choice is B

Step-by-step explanation:

The exponential regression model can be written as exponential function

[tex]y=a\cdot b^x.[/tex]

Then

[tex]5,000=a\cdot b^0=a,\\ \\5,510=a\cdot b^2\Rightarrow 5,510=5,000\cdot b^2,\\ \\b^2=\dfrac{5,510}{5,000}=\dfrac{551}{500}\Rightarrow b\approx 1.05.[/tex]

Thus,

[tex]y=5,000\cdot (1.05)^x.[/tex]

When [tex]x=12,[/tex] you get

[tex]y(12)=5,000\cdot (1.05)^{12}\approx \$8,980.[/tex]

Answer:

39 feet

Step-by-step explanation:

Since the triangle is right we can use the tan ratio to find BC

tan 30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{68}[/tex]

multiply both sides by 68

68 tan 30° = BC ⇒ BC ≈ 39 feet ( to nearest foot )

Answer:

A) T(d) = 5d + 30

Step-by-step explanation:

Answer:

T(d) = 5d + 30

Step-by-step explanation:

Hailey is starting a new exercise program.

The first day she will spend 30 minutes on a treadmill.

She will increase her time on treadmill by 5 minutes each day for 2 weeks.

We have to form the function modeling this situation.

The equation will be in a linear form y = md + c

where c = constant term = 30 minutes

m = rate of change = Increase in time of exercise per day = 5

d = variable representing day

y = Second variable representing total time given for exercise

y = 5d + 30 or y = 5d + 30

We can rewrite the equation in the form of a function.

T(d) = 5d + 30

Answer:

100sec

Step-by-step explanation:

100-15=85%

85%/85s = 100%/x

Crisscross method

x=8500/85

x=100s

To find the sale price of a bike originally priced at $345.00 with a 20% discount, calculate the discount amount ($69.00) and subtract it from the original price, resulting in a sale price of $276.00.

The bike shop is having a sale where everything in the store is 20% off. To calculate the sale price of a bike that is originally priced at $345.00, you first need to determine the discount amount. Convert 20% to a decimal by dividing 20 by 100, which gives you 0.20. You then multiply the original price of the bike, $345.00, by 0.20 to find the discount amount.

$345.00 \times 0.20 = $69.00

Next, subtract the discount from the original price to find the sale price.

$345.00 - $69.00 = $276.00

Therefore, the sale price of the bike is $276.00.

Answer:

The correct answer is D. This statement describes Confucius.

Step-by-step explanation:

Confucius was a Chinese philosopher, whose teachings had a great influence in China, Korea, Japan and Vietnam.  According to tradition, he was born in the city of Qufu, in the Kingdom of Lu, now part of Shandong Province. He is said to have become Minister of Justice in Lu's kingdom. After being forced to resign, he toured the small kingdoms of northeast and central China, explaining his ideas about governance.  

He emphasizes his philosophy of morality, right social relationships, justice and honesty, both in personal life and in government. During the Han Dynasty period in China, his teachings became the official philosophy of the state. His teachings were introduced to Europe by the Jesuit Matteo Ricci, the first to Latinize his name as "Confucius."

Answer:

5.15

Step-by-step explanation:

I entered 17.5 slash 3.4 into my TI calculator

Answer:

5.15 Hope this helps!!!!!!!!!

To find 5% of 220 files, convert the percentage to a decimal (5/100 = 0.05) and multiply it by 220. The result is 11, meaning 5% of 220 files is 11 files.

To calculate 5% of 220 files, you need to use the concept of percentage from basic mathematics. Here's a step-by-step explanation:

Understand that 'percent' means 'per hundred'. So, 5% can be expressed as 5/100.

Multiply the percentage (in this case, 5/100) by the total number of files (which is 220).

Perform the calculation: (5/100) times 220 = 0.05 times 220 = 11.

Therefore, 5% of 220 files is 11 files.

Problem 1

Answer: Choice C) sample is appropriately large; margin of error is plus/minus 0.187

-----------------------------

Explanation:

At 90% confidence, the z critical value is roughly z = 1.645 (this is found using a table in the back of your textbook)

n = 250 is the sample size, which is appropriately large (it's over n = 30)

s = 1.8 is the standard deviation

The margin of error E is found by the formula below

E = z*s/sqrt(n)

E = 1.645*1.8/sqrt(250)

E = 0.18727008303518

E = 0.187

note: the sample mean is not used at all in the computation of the margin of error.

===========================================

Problem 2

Answer: Choice D) both are effective; however, Intensity program is more effective compare to Q30X program

-----------------------------

Explanation:

There's not much to say here other than your teacher really wrote a lot to set up this problem. There's a lot of extra filler that you need to toss out and ignore. Basically the short of it is that Brant wants to run faster so he tests two programs. He finds that both are effective (since they both yield roughly the same percent decrease in run times) but the Intensity program is better by two percentage points. It's not much, but it's something. So this is why the answer is choice D.

===========================================

Problem 3

Answer: Choice A) appropriately large; margin of error is plus/minus 0.079

-----------------------------

Explanation:

n = 150 is the sample size. It is appropriately large as it is over n = 30

At 95% confidence, using a stats table (in the back of your book) you should find the critical value is z = 1.960

p = 0.56 is the decimal version of 56%, this is the proportion of those who use public transportation

We'll use a slightly different margin of error formula. This time it's to measure the error for proportions (rather than means)

E = z*sqrt(p*(1-p)/n)

E = 1.960*sqrt(0.56*(1-0.56)/150)

E = 0.07943845584267

E = 0.079

Answer:

Option B is correct

[tex]y = -75x+640[/tex]

Step-by-step explanation:

The equation of line is given by:

[tex]y=mx+b[/tex]

where, m is the rate or slope and b is the initial amount.

As per the statement:

Wanda has $640 in her checking account.

She pays her landlord $75 per week for rent.

Assume that the number of weeks be x.

Let us assume that the y represented the money in the account after x weeks.

then;

the function becomes,

[tex]y = 640-7x[/tex]

or

[tex]y = -75x+640[/tex]

Therefore, the function best models the linear relationship is, [tex]y = -75x+640[/tex]

Answer:

x = 5

Step-by-step explanation:

720 = 2^4 × 3^2 × 5

√720 = 2^2 × 3 × √5

√(720×5) = 2^2 × 3 × 5

Answer:

the absolute value of a imaginary number is somewhat similar to a distance between the two points.

Step-by-step explanation:

by absolute value of an imaginary number a+i b we mean the distance of the origin (0, 0) and the point (a,b) in the complex plane

i.e. [tex]\sqrt{a^{2} +b^{2} }[/tex]

whereas distance between two points ([tex]x_{1}[/tex],[tex]x_{2}[/tex]) and ([tex]y_{1}[/tex],[tex]y_{2}[/tex]) is given by [tex]\sqrt{(x_{1}-y_{1} )^2+( x_{2}-y_{2})^2}[/tex]

if (  [tex]y_{1}[/tex],[tex]y_{2}[/tex])=(0,0) then it is similar to the absolute value of a complex number of the type x+i y.

The question involves creating and analyzing scientific models, collaborating in groups to build and refine these models based on experimental evidence, and engaging in critical thinking about their accuracy and limitations.

The question involves students creating and analyzing models that represent certain scientific situations. Creating a model is a fundamental part of scientific inquiry as it helps in visualizing and understanding complex concepts. Students are tasked with exchanging and labeling pictures or drawings of their models, which aids in the development of the communication of scientific ideas. They then apply their models to specific situations, test these models, and note the outcomes to assess the accuracy and limitations of the models they have built. This process involves critical thinking, collaboration, and application of scientific knowledge.

Moreover, students are required to modify their models based on experimental evidence and discussions about the limitations of their models. When building models of atoms, for example, students must consider basic ratios, an understanding of atomic structure, and the unique characteristics of the element they are representing.

The complete question is:Drag one model next to each situation. The correct model for each group represents that situation

Answer:

y=8+6t

Step-by-step explanation:

Answer:

[tex]F(t)=6t+8[/tex].

Step-by-step explanation:

Let t represent number of hours.

We have been given that Carolina charges $6 for each hour of work. So amount charged for t hours of work would be [tex]6t[/tex].

Let us find initial cost by subtracting charges for 4 hours from 32 as:

[tex]\text{Initial cost}=32-4\times 6[/tex]

[tex]\text{Initial cost}=32-24[/tex]

[tex]\text{Initial cost}=8[/tex]

The total cost for t hours of work would be initial cost plus cost per hour: [tex]6t+8[/tex].

Our required function would be [tex]F(t)=6t+8[/tex].

Answer:

B: (x + 2)(x - 3)^2

Step-by-step explanation:

This is only going to have 3 roots. One of them is (x - 3)

D does not look right. So let's solve it using synthetic division.

3 || 1    - 4      -3       18

            3       -3      -18

========================

     1     -1       -6        0

So what you have is a quadratic

The answer is B