You are traveling at 75 km/hr to make it to school on time. You have to be at school in .25 hour or you will be late. You have 15 km to travel. Will you make it to school on time?

Answer:

450 Ribbons

Step-by-step explanation:

multiply the length of 1 ribbon by how many she needs to make. we get, 0.45m x 1000bows

that's 450m ribbon.

plz mark this as brainliest and I hope I helped :)

Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

The two numbers from the equations are 16 and -52

The first number is 16

The second number is -52

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = x

Let the second number be = y

So , the equation will be

Let the sum of two numbers be = -36

And the equation will be

x + y = -36   be equation (1)

Let the difference of two numbers be = 68

And the equation will be

x - y = 68   be equation (2)

Subtracting equation (1) from equation (2) , we get

On simplifying the equation

2x = 32

Divide by 2 on both sides of the equation , we get

x = 16

The equation will be

Substituting the value of x in the equation , we get

x + y = -36

16 + y = -36

Subtracting 16 on both sides , we get

y = -52

Hence , the two numbers are 16 and -52

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Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

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The solution of the equation c = kny, for y is y = c/kn

The equation is given as

c = kny

Divide both sides of the given equation by k

So, we have

c/k = kny/k

Evaluate the quotient on both sides of the above equation

So, we have

c/k = ny

Divide both sides of the above equation by n

So, we have

c/kn = ny/n

Evaluate the quotient on both sides of the above equation

So, we have

c/kn = y

Rewrite as

y = c/kn

Hence, the solution of the equation c = kny, for y is y = c/kn

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Explanation:

Utility is another way of saying happiness more or less. Marginal utility is getting that extra bit of satisfaction from buying/consuming one additional item. Saying the marginal utility is diminishing but not negative, means we have an increasing utility curve that has its rate of increase slow down. An example would be a log curve.

Inflation can be thought of as an expense. For example, if it costs $1 to get a loaf of bread one year, and then next year that cost jumps to $1.50 for that same loaf of bread, then the worker has effectively lost 50 cents on their paycheck. Zero inflation means there isn't any such expense. So in a way, this is like getting a raise.

Being paid more due to higher labor costs means that the worker gets even more money on top of the bonus money saved from zero inflation. These two aspects would provide a lot of incentive for the person to work more hours. Of course, there would be a point in which the marginal utility is far too small. In other words, the amount of additional money earned isn't worth the additional time spent working. This is likely when the worker would take time off, seek out a raise, or find some other job.

The expressiοn that shοws the result οf that transfοrmatiοn intο the bοx under it are  \(f(x) - 4 = 3^{x} - 4\)

In mathematics, a transfοrmatiοn refers tο a prοcess οr οperatiοn that changes the pοsitiοn, shape, οr size οf a geοmetric figure οr οbject in a cοοrdinate plane οr space. Transfοrmatiοns can be classified intο several types, including translatiοns, reflectiοns, rοtatiοns, dilatiοns, and cοmbinatiοns οf these.

Each type οf transfοrmatiοn invοlves a set οf rules οr fοrmulas that define hοw the οriginal οbject οr figure is transfοrmed intο a new οne. Transfοrmatiοns play an impοrtant rοle in many areas οf mathematics and science, including geοmetry, linear algebra, cοmputer graphics, and physics.

given functiοn : \(f (x ) = 3^{x}\)

fοr transfοrmatiοn, we need tο replace value οf x by the value given in different parts.

part 1 :

-4 f(x) = ?

we have \(f (x ) = 3^{x}\)

sο,  -4 ×  f (x ) = -4 × \(3^x\)

∴  -4 f(x) =  -4 × \(3^{x}\)

part 2 :  

f(-4x) = ?

we have f (x ) = \(3^{x}\)

replacing value οf x by -4x,

∴  f(-4x) = \(3^{-4x}\)

part 3

: f(x-4) = ?

we have \(f (x ) = 3^{x}\)

sο, replacing value οf x by x-4,

∴\(f(x-4) = 3^{x-4}\)

part 4 :

f(x) - 4 = ?

we have \(f (x ) =3^{x}\)

sο, \(f(x) - 4 = 3^{x} - 4\)

Hence the sοlutiοn are

-4 f(x) =  -4 × \(3^{x}\)

f(-4x) = \(3^{-4x}\)

f(x-4) = \(3^{x-4}\)

f(x) - 4 = \(3^{x} - 4\)

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Answer:

More than likely no full answer key however there might be answers for each individual question.

The function f(x)* = 1 + x^2 is defined for all real numbers x, so the domain is all real numbers, or (-∞, ∞).

In determining the function's output values, one must consider its collection of feasible results to extract the range. Reviewing f(x)* exhibits a minimum value of 1 due to x^2 being perpetually non-negative, while adding another factor merely preserves positivity.

Concurrently as x skyrockets, so too does the value of f(x)* given that approaching infinity generates infinitely larger powers than any constant coefficient subordinated by it. Consequently, the overall range of f(x)* becomes [1, ∞), enwrapping all feasible solutions equivalent or superior to 1.

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Answer:

\(let \: the \: number \: be \:2 x \\ 2x - x = 19 \\ x = 19 \)

This is the answer

if wrong please correct me ! :)

Answer:

D

Step-by-step explanation:

Edge 2020

The time taken by the barnacle to get back to its starting point is A = 2π seconds

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circle be represented as r

Now , the value of r = 1 m

And , the boat is traveling at a rate of 1 m/s

where the total path of the barnacle = circumference of the circle

So , the time taken by the barnacle to get back to its starting point A = circumference of the circle / speed of the boat

On simplifying , we get

The circumference of the circle = 2πr = 2π meters

The time taken by the barnacle to get back to its starting point A = ( 2π / 1 )

The time taken by the barnacle to get back to its starting point A = 2π seconds

Therefore , the value of A is 2π seconds

Hence , the time taken for the circular path is 2π seconds

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The complete question is attached below :

The boat is traveling at a rate of 1 meter per second. How long does it take the barnacle to get back to its starting point?

The indices (8.1)(8.1²)⁴ simplifies to 8.1⁹

Index is the power or exponent which is raised to a number or a variable. For example, in number 3², 2 is the index of 3. The plural form of index is indices

Given:  (8.1)(8.1²)⁴

To simplify these indices, we are going to apply one of the indices, which is expressed below:  (4³)² = 4³ ˣ ² = 4⁶. We basically multiply the powers

We also need another law which is expressed below:

3⁶ x 3⁴ = 3⁶⁺⁴ = 3¹⁰

If two indices with the same base (in case 3) are being multiplied, you can simplify by taking one of the bases and then add the powers  

Thus, to simplify (8.1)(8.1²)⁴:

(8.1)(8.1²)⁴ = (8.1)(8.1)²ˣ⁴

           =  (8.1)(8.1)⁸

            = 8.1¹ × 8.1⁸

            = 8.1¹⁺⁸

            =   8.1⁹

Therefore, (8.1)(8.1²)⁴ simplifies to 8.1⁹. The 4th option is the answer

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The probability the letter Julianna draws is NOT the letter A is 0.75

Julianna wrote each of the 8 letters in her name on same-sized pieces of paper, so there are 8 possible outcomes when she randomly draws one paper from the bag.

Out of the 8 letters, two letter is A.

So, the probability of drawing the letter A is 2/8 = 1/4

The probability of not drawing the letter A is the complement of this probability, which is:

1 - 1/4 = 3/4

This gives

1 - 1/4 = 0.75

Therefore, the probability, in decimal form, that the letter on the paper Julianna draws is not the letter A is 0.75

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Answer:

\(\frac{9}{8} [W]\ and \ \frac{3}{4} [S].\)

Step-by-step explanation:

1. if the weight of Whisters is 'w', then the weight of Scamp is 'w-3/8'; then

2. it is possible to make up the equation:

\(w+w-\frac{3}{8}=1\frac{7}{8};\)

3. if to solve this equation, then w=9/8 - this is the weight of Whiskers;

the weight of Scamp is 9/8-3/8=6/8=3/4 [pounds].

The blue figure is transformed to form the red figure by (d) Shift 6 units down and 5 units right.

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

The figures (see attachment)

Where we have

From the graph we can see that

The red figure is down of the blue figure by 6 units and right of the blue figure by 5 units

This means that the transformation is (d) Shift 6 units down and 5 units right.

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By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Answer:

Step-by-step explanation:

Year 1: $850 * 0.91 = $773.50

Year 2: $773.50 * 0.91 = $704.69

Year 3: $704.69 * 0.91 = $641.95

...

Year 34: (continue the pattern)

We can continue this calculation for each year, but to save time, we can use an exponential decay formula:

Remaining Amount = Initial Amount * (1 - rate)^years

Substituting the values:

Remaining Amount = $850 * (1 - 0.09)^34

Calculating this expression:

Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88

After 34 years, approximately $255.88 will be left with Sally.

The number of people at the reception whose favorite snack will be cookies is around 360.

Firstly we will find the total number of random people who were surveyed.

Total number of random people = 26 + 44 + 89 + 61

Performing addition on Right Hand Side of the equation

Total number of random people = 220

Number of people who like cookies from survey = 44/220

Performing division on Right Hand Side of the equation

Number of people who like cookies from survey = 0.2

Now, predicted number of people who like cookies = 1800 × 0.2

Performing multiplication on Right Hand Side of the equation

The predicted number of people who like cookies = 360

Thus, 360 people might like cookies.

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Answer:

sorry not having idea about ans

Answer:

A construction company can remove

1/3 metric tons of dirt from a construction site in 1/6

hours.

What is the unit rate in metric tons per hour?

Me too

Answer:

3 times 4 = 12 BIG BRAIN!!!

Answer:

12/4 =c

Step-by-step explanation:

Step-by-step explanation:

well if you ment

\(5 \sqrt{ \frac{x}{5} } \)

then the inverse is:

\(y = 5 \sqrt{ \frac{x}{5} } = = > {y}^{2} = 25( \frac{x}{5}) = = = > \\ {y}^{2} = 5x = = = > \frac{{y}^{2} }{5} = x = = = > \\{f}^{ - 1} (x) = \frac{ {x}^{2} }{5} \)

and if you ment

\( 5 \frac{ \sqrt{x} }{5 } \)

then the inverse is:

\(y = 5 \frac{ \sqrt{x} }{5} = = = > y = \sqrt{x} = = = = > \\ {y}^{2} = x = = = > \\ {f}^{ - 1} (x) = {x}^{2} \)

Answer:

2

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1.  One way to do this is converting both into improper fractions.  To do this, multiply the whole number by the denominator and add that to the numerator.

2 3/5 --> 2*5 is 10 --> 10+3 is 13.  --> 13/5

2.  This leaves us with 13/5 - 8/5

3.  Subtract the numerators

13/5 - 8/5 = 5/5

4.  Simplify.  If the numerator is the same number as the denominator, it's a whole number.

5/5 = 1

Answer:

a.  the control limits should be set at (10.72, 11.28)

b. \(\mathbf{P(10.72<x<11.28) = 0.4526}\)

c. \(\mathbf{P(10.72<x<11.28) = 0.0065}\)

Step-by-step explanation:

Given that:

population mean μ = 11

standard deviation \(\sigma\) = 1.0

sample size n = 35

5% of the sample means will be greater than the upper control limit, and 5% of the sample means will be less than the lower control limit.

Therefore, level of significance ∝ = 0.05+0.05 = 0.10

Critical value for \(z_{1-\alpha/2} =z_{1-0.10 /2}\)

\(\implies z_{1-0.05} = z_{0.95}\)

Using the EXCEL FORMULA: = NORMSINV (0.95)

z = 1.64

The lower control limit and the upper control limit can be determined by using the respective formulas:

Lower control limit = \(\mathtt{\mu - z_{1-\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}}\)

Upper control limit = \(\mathtt{\mu + z_{1-\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}}\)

For the lower control limit = \(11-1.64 \times \dfrac{1.0}{\sqrt{35}}\)

For the lower control limit = \(11-0.27721\)

For the lower control limit = 10.72279

For the lower control limit \(\simeq\) 10.72

For the upper control limit = \(11+1.64 \times \dfrac{1.0}{\sqrt{35}}\)

For the upper control limit = 11 + 0.27721

For the upper control limit = 11.27721

For the upper control limit  \(\simeq\)  11.28

Therefore , the control limits should be set at (10.72, 11.28)

b. If the population mean shifts to 10.7, what is the probability that the change will be detected?

i.e

\(\mathtt{P(10.72<x<11.28) = P( \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}<z < \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}})\)

\(\mathtt{P(10.72<x<11.28) = P( \dfrac{10.72- 10.7}{\dfrac{1.0}{\sqrt{35}}}<z < \dfrac{11.28- 10.7}{\dfrac{1.0}{\sqrt{35}}}})\)

\(\mathtt{P(10.72<x<11.28) = P( \dfrac{0.02}{\dfrac{1.0}{5.916}}<z < \dfrac{0.58}{\dfrac{1.0}{5.916}}})\)

\(\mathtt{P(10.72<x<11.28) = P(0.1183<z < 3.4313})\)

\(\mathtt{P(10.72<x<11.28) = P(z< 3.4313) - P(z< 0.1183) }\)

Using the EXCEL FORMULA: = NORMSDIST (3.4313) - NORMSDIST (0.118 ); we have:

\(\mathbf{P(10.72<x<11.28) = 0.4526}\)

c If the population mean shifts to 11.7, what is the probability that the change will be detected?

i.e

\(\mathtt{P(10.72<x<11.28) = P( \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}<z < \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}})\)

\(\mathtt{P(10.72<x<11.28) = P( \dfrac{10.72- 11.7}{\dfrac{1.0}{\sqrt{35}}}<z < \dfrac{11.28- 11.7}{\dfrac{1.0}{\sqrt{35}}}})\)

\(\mathtt{P(10.72<x<11.28) = P( \dfrac{-0.98}{\dfrac{1.0}{5.916}}<z < \dfrac{-0.42}{\dfrac{1.0}{5.916}}})\)

\(\mathtt{P(10.72<x<11.28) = P(-5.7978<z < -2.48472})\)

\(\mathtt{P(10.72<x<11.28) = P(z< -2.48472) - P(z< -5.7978) }\)

Using the EXCEL FORMULA: = NORMSDIST (-2.48472) - NORMSDIST (-5.7978); we have:

\(\mathbf{P(10.72<x<11.28) = 0.0065}\)

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Answer:

heyy i did this problem a while ago and got kinda stuck on it