Find the unit rate. Round your answer to the nearest hundredth.
357 miles in 5 hours
miles per hour

Answer:

4 seconds

Step-by-step explanation:

Given equation:

\(y=256-16x^2\)

where:

The penny reaches the ground when the height is zero, so when y = 0.

Substitute y = 0 into the given equation and solve for x:

\(\begin{aligned}y&=256-16x^2\\y=0 \implies 0&=256-16x^2\\0+16x^2&=256-16x^2+16x^2\\16x^2&=256\\\dfrac{16x^2}{16}&=\dfrac{256}{16}\\x^2&=16\\\sqrt{x^2}&=\sqrt{16}\\x&=\pm4\end{aligned}\)

As time is positive, x = 4 only.

Therefore, it takes 4 seconds for the penny to reach the ground.

Answer:

Tony poured is 9% of the total

Step-by-step explanation:

Given data

The capacity of the container= 60000 liters

Amount of water that tony pours=  5400 liters

Let us compute the percentage to know if it is up to 10%

= 5400/60000*100

=0.09*100

=9%

Hence the amount of water Tony poured is 9% of the total

Answer:

He is wrong

Step-by-step explanation:

60 000 LB=55000

60 000 UB=65000

5400 LB= 5350

5400 UB=5450

65000x0.10=6500

55000x0.10=5500

he is wrong

High-Density Lipoprotein (HDL) level of a person is 2-1.7. This score is used to assess the level of cholesterol in the blood. The HDL score is negative, which means it is good news.

The average person of the same stature is 1.7 deviations below you. It means that you have an above-average HDL level for people of your stature, but your HDL level is still slightly below the average HDL level for a person of your stature. An HDL level that is extremely low is below 40 milligrams per deciliter (mg/dL). An HDL level of 60 mg/dL or higher is considered to be the ideal HDL level.

A negative score means the cholesterol level is below average, and it indicates a reduced risk of developing heart disease ,Hence, we can infer that the person has an above-average HDL level but slightly below the average HDL level for people of the same stature.

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Answer:

(9,0)

Step-by-step explanation:

Since we know that M is halfway of point A from the origin, to find point M, take half of point A's x-intercept.

(18,0) halfway from the origin would be (9,0).

Answer:

the first one is correct

Step-by-step explanation:

this is the same way as writing 7 to the power of four, but all of the sevens are negative in your case

Answer:-7x-7x-7x-7

Step-by-step explanation:

To test whether the sample data contradicts the manufacturer's claim regarding the average muzzle velocity of the new gunpowder, we can conduct a hypothesis test. The claim states that the average velocity is not less than 3000 feet per second. By performing the appropriate statistical analysis with the given sample data and significance level of 0.025, we can determine if there is sufficient evidence to reject the manufacturer's claim.

To conduct the hypothesis test, we will set up the null and alternative hypotheses as follows:

Null Hypothesis (H₀): The average muzzle velocity of the new gunpowder is not less than 3000 feet per second.

Alternative Hypothesis (H₁): The average muzzle velocity of the new gunpowder is less than 3000 feet per second.

Next, we will perform a one-sample t-test, assuming that muzzle velocities are approximately normally distributed. With the given sample data, we can calculate the sample mean and sample standard deviation. Using these values, along with the sample size and the significance level of 0.025, we can calculate the t-statistic.

Comparing the t-statistic to the critical value from the t-distribution with the appropriate degrees of freedom, we can determine if the sample data provide sufficient evidence to reject the null hypothesis. If the t-statistic falls in the rejection region, we can conclude that the sample data contradicts the manufacturer's claim at the 0.025 level of significance.

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Answer:

x=3

Step-by-step explanation:

it would go over the point 3,7 on the graph with a positive slope

The given inequality is solved to obtain as x ≥ 3.

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given inequality can be solved as follows,

4x - 5 ≥ 7

Subtract 7 from both sides to obtain,

4x - 5 - 7 ≥ 0

=> 4x - 12 ≥ 0

=> 4x ≥ 12

=> x ≥ 3

The graph for the given inequality is shown as below,    

Hence, the solution for the given inequality is x ≥ 3.

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There are three a's, we can write a³ instead of a×a×a. This gives us d×b×c×a³

To simplify the expression d×b×c×a×a×a, we can rewrite it using exponents. Since there are three a's, we can write a³ instead of a×a×a. This gives us:

d×b×c×a³

This is the simplified expression using single variables raised to exponents. We can read this as "d times b times c times a to the power of 3".

It's important to note that when we have multiple variables multiplied together, we can simplify the expression by combining them using exponents. This makes it easier to work with and to manipulate algebraic equations.

In this case, we were able to simplify the expression by replacing three instances of a with a³. We could continue to simplify further if we had additional like terms, but in this case, this is the simplest form of the expression.

Overall, simplifying expressions using exponents is a common technique in algebra and can help make solving equations more manageable.

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Hi there!

\(\large\boxed{0.5 \text{ hours, or } 30 \text{ minutes}}\)

Use the formula d / s = t to solve for the time needed for each:

Distance = 20 miles

(J)

20 m / 10 mph  = 2 hours

(B)

20 m / 8 mph = 2.5 hours

Subtract the times to find the amount of time necessary to wait:

2.5 - 2 = 0.5 hours or 30 minutes.

The probability that exactly 8 peas are green, from the random selection would be 22. 56 %.

This is a binomial probability problem as the probability of an exact likelihood from an event needs to be found.

The relevant formula is:

P ( X = k ) = C ( n , k) x p^ k x q ^( n - k)

Solving for the probability, that exactly 8 peas are green gives:

P ( X = 8 ) = C( 12, 8) x ( 3 / 4 ) ^8 x ( 1 / 4 )^4

P ( X = 8 ) = (12! / ( 8 ! ( 12 - 8 )!) ) x ( 3/4 ) ^8 x ( 1 / 4 ) ^4

P ( X = 8 ) = 0. 2256

P ( X = 8 ) = 22. 56 %

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Answer:

690

Step-by-step explanation:

0.69 x 10^3=

0.69 x 1000=

690

Answer:

Step-by-step explanation:

0.69*1000= 690

The truth about the quotient -11/10 is that it is written as an improper fraction, which can also be written as a mixed number.

The quotient is the result of a division operation.

To determine the quotient, the dividend is divided by the divisor.

The dividend is the number being divided while the divisor is the number dividing.

Division operation is one of the basic mathematical operations.  Other mathematical operations are subtraction, addition, and multiplications.

These basic mathematical operations determine mathematical results undertaken by manipulating numbers, constants, and variables using mathematical operands.

An improper fraction is one that whose numerator is greater than the denominator.

Improper fractions can be converted to mixed numbers (whole numbers and proper fractions).

Thus, we can conclude that the quotient -11/10 is written as an improper fraction.

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Answer:

2

Step-by-step explanation:

Un círculo unitario es un círculo con un radio de 1

Answer:

-3

Step-by-step explanation:

16/4=4, so seven less than that is -3

Answer:

-24

Step-by-step explanation:

-1(3^2)+(-15)

  -9+(-15)

      -24

Answer:

-24

Step-by-step explanation:

if n=-1, p=3, and q=-15, then the equation would be -1(3)^2+(-15)

Follow PEMDAS.

-1(3)^2+(-15)

-1x3^2-15

-1x9-15

-9-15

**-24**

hope this helps! : )

The value of z is found by dividing y by x, which results in  z =\(-\frac{16}{63}$\)

To solve for z, we can use the equation \($x\cdot z = y$\). We know that \($x = \frac{7}{8}$\) and \($y = -\frac{2}{9}$\),

Therefore, we can enter these values into the equation as substitutes:

\($\frac{7}{8} \cdot z = -\frac{2}{9}$\)

Next, In order to separate z, we must divide both sides of the equation by \($\frac{7}{8}$\):

\($z = \frac{-\frac{2}{9}}{\frac{7}{8}}$\)

To divide by\($\frac{7}{8}$\), The fraction can be rotated, then multiplied by its reciprocal, which is \($\frac{8}{7}$\)

\($z = \frac{-\frac{2}{9}}{\frac{7}{8}} \cdot \frac{8}{7}$\)

The fraction on the right can be made simpler as follows:

\($z = -\frac{2}{9} \cdot \frac{8}{7} = -\frac{16}{63}$\)

So, The value of z is found by dividing y by x, which results in  z =\(-\frac{16}{63}$\)

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Answer:

4

Step-by-step explanation: add 2 to your 2

Answer:

the capacity is yours for your life

Answer: the capacity is yours for your life no kidding it’s the right answer

Step-by-step explanation:

Answer:

approximately 4.23 cm

The approximate cost of the banner which is charged by print shop before tax is 92.30.

The cost price per unit is the amount of money required to buy one uni of a brand or goods.

To find the cost price per unit, divide the total amount of cost of the goods to the total number of goods.

The length of the sides of parallelogram banner which order by Jace is 9 feet and the length of the bottom side is 12 feet.  

The length of the diagonal is 19 ft. The parimeterof the triangle made by this sides is,

\(s=\dfrac{9+12+19}{2}\\s=20\)

Using Heron's formula, the area of this triangle is,

\(A=\sqrt{20(20-9)(20-12)(20-19)}\\A=\sqrt{20\times11\times8\times1}\\A=41.95\rm ft^2\)

Now the area of the banner is,

\(A=41.95\times2\\A=83.90\rm ft^2\)

The print shop charges $1.10 per square foot for banners of any shape and size.Thus, the charge of the banner with area 108 square foot is,

\(P=1.10\times83.90\\P=92.29\\P\cong92.30\)

Thus, the approximate cost of the banner which is charged by print shop before tax is 92.30.

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A p-value is a probability.

A p-value is the probability of obtaining a test statistic as extreme or more extreme.

The observed value, assuming the null hypothesis is true.

It ranges in value from 0 to 1 and represents the strength of evidence against the null hypothesis.

A p-value cannot be negative, as it is a probability and probabilities are always between 0 and 1.

A p-value also cannot be larger than 1, as it represents a probability.

A probability cannot exceed 1.

Finally, a p-value cannot be smaller than 0, as it represents a probability.

A probability cannot be negative.

the correct option is b. is a probability.

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Answer:

2.

m: -x

b: -2

equation: y = -x -2

brainliest? <3

F(x, y, y', y",..., y(n-1)) is the expression for the function f.

1. Rewrite the given differential equation as y (n) = f (x, y, y', y",..., y (n 1)).

2. Identify y as the dependent variable, y', y",..., y(n-1), as the derivatives of y up to order n-1. X is the independent variable.

3. The right-hand side of the equation, f(x,y,y',y",...,y(n-1)), provides the expression for the function f.f(x,y,y',y",...,y(n-1)) is the expression for the function f, where x is an independent variable, y is the dependent variable, and y', y",...,y(n-1) are y's derivatives up to order n-1. The right-hand side of the equation provides the expression for the function f when the differential equation is written as y (n) = f (x, y, y', y",..., y (n 1)). Consequently, f is a function of x, y, y', y",..., and y. (n-1). The differential equation is resolved using this expression for f.

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Answer:

2.46

Step-by-step explanation:

csc24° = 2.45859

Answer:

  (6, 2/7)

Step-by-step explanation:

You want the coordinates of the hole in the graph of (n² -10n +24)/(n² -5n -6).

Simplifying the given rational expression, we have ...

  \(\dfrac{n^2-10n+24}{n^2-5n-6}=\dfrac{(n-6)(n-4)}{(n-6)(n+1)}=\dfrac{n-4}{n+1}\quad n\ne6\)

At n = 6, the simplified expression is ...

  (6 -4)/(6 +1) = 2/7

The hole is located at (6, 2/7).

__

Additional comment

Even though the factor (n-6) in the denominator cancels the one in the numerator, the function remains undefined there. Hence the "hole". If there were no corresponding numerator factor at that point, there would be another vertical asymptote at n=6.

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As the sales price is 65% off you find the 65% of the original cost and then substract it from the original cost:

Answer:

Its the first one y=x3 - 3

Step-by-step explanation:

Answer:

y = x – 3

Step-by-step explanation:

y = x³ – 3 [cubic function]

y = x² – 3 [square function / quadratic]

y = x – 3 [linear function]

y = √x – 3 [square root function]

Answer:

ooo me

Step-by-step explanation:

pls