Which equation has a graph that is a parabola with a vertex at (5, 3)?

Answer:

9:12

Step-by-step explanation:

Answer:

the answer is Less than "<"

Step-by-step explanation:

when you reduce both ratios you get 6:9=2:3 and 9:12=3:4

2:3<3:4

The probability is P = 0.135

First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.

The joint probability is given by the product between the individual probabilities, so we get:

P = (1/2)*(3/6)*(28/52) = 0.135

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On each roll of a 6-sided die, we have 6 possible outcomes.

Then if we roll it twice, we will have 36 outcomes.

The outcomes where the sum is 4 are:

roll 1     roll 2    sum

1             3           4

3            1            4

2           2           4

Son in 3 out of 36 outcomes the sum can be 4, then the probability opf rolling a sum of 4 is given by the quotient:

P = 3/36

P = 1/12

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The mean of the data set is 82.77

If we want to find the mean, we would have to put it at the back of our minds that the mean is the same as the average. As such, we would have to take the sum of all the values that have been listed in the data set and divide by the total number of the data.

The first step is to arrange the data set orderly from smallest to largest;

70, 71,79, 82,88,85,87,91,92

We have nine values in the data set thus the mean is;

70+71+79+82+88+85+87+91+92/9= 745/9= 82.77

Hence the mean of the data set is 82.77

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Answer:

Daisy, Geranium, Daffodil, and Tulip.

Step-by-step explanation:

We already have two values to compare in decimal form. We can convert the others.

Tulip: 0.8333 repeating.

Daffodil: 0.79

We have 13/20 for Daisy and 3/4 for Geranium.

We can multiply the denominator and the numerator of 13/20 by 5 to get 65/100. In decimal form this would be 0.65

Now we have the value for Daisy.

Daisy: 0.65

We need to find Geranium. We can multiply both the numerator and denominator by 25 to get the decimal form. 3/4 = 75/100

Geranium: 0.75

Now that we have our values, we can order them from least to greatest.

This would give us the answer of Daisy, Geranium, Daffodil, and Tulip.

Answer:

4/7

Step-by-step explanation:

When you multiply by fractions you multiply the numerators and denominators

4/1 x 1/7

Anything that doesnt have anything under it always has a 1 as its denominator

Answer:

True.

Step-by-step explanation:

\(a+4=6\)

\(a=2\)

To see if the equation would be correct given the value of \(a\), we have to substitute:

\(2+4=6\)

\(6=6\)

Since both sides of the equation are equal, the statement is true.

The value of p is 781.25.

What is a population growth?

Population Growth is defined as the increase in the number of individuals in a population is called population growth.

What is a common growth factor?

The growth factor is the ratio between the old price and the new price, once sales tax is included.

We want to know the population when y = 0, or when the number of years is zero.

Substitute the same in the equation

p = (400).\((\frac{5}{4} )^{y}\)

When y = 1 or at the 1st year, the population will be p = (400)(\(\frac{5}{4}\) ) = 500

This means that the population is increasing by a common growth factor of \((\frac{5}{4})\) .

When y = 3, or at year 3 we get the population as p = 400  \((\frac{5}{4} )^{3}\)

                                                                                      = 781.25

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The nearest tenth, 44.5 minutes have gοne by.

Time is the οngοing prοgressiοn οf existence and events that take place in what appears tο be an irreversible οrder frοm the past thrοugh the present tο the future. It is οne οf the quantities that make up variοus measurements that are used tο cοmpare the lengths οf events οr the gaps between them, tο cοmpare hοw lοng they last, tο οrder events, and tο measure hοw quickly certain quantities in the physical wοrld οr in cοnsciοus experience change. The fοurth dimensiοn, in additiοn tο the three spatial dimensiοns, is frequently referred tο as time.

If Teresa has finished 57% οf her run, then she has 43% left tο cοmplete.

Let x be the number οf minutes that have gοne by.

Since 57% οf the run is cοmpleted in 78 minutes, we can set up the fοllοwing prοpοrtiοn:

57/100 = x/78

Sοlving fοr x, we get:

x = (57/100) * 78

x = 44.46

Therefοre, tο the nearest tenth, 44.5 minutes have gοne by.

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The total number of possible outcomes when flipping a coin three times is 8, since there are two possible outcomes for each flip (heads or tails).

Combination is a way of selecting items from a set where order does not matter. Combinations are written as a set of n distinct objects taken r at a time, where n is the total number of objects and r is the number of objects taken.

Of these 8 outcomes, 3 include exactly one head. These are the outcomes HHT, HTH, and THH.

The total number of possible outcomes is calculated using the formula 2ⁿ, where n represents the number of flips. In this case, n = 3, so the total number of outcomes is 2³ = 8.

To find the number of outcomes with exactly one head, we can use the formula nCr, which stands for n choose r.

This formula is used to calculate the number of combinations of r elements that can be chosen from a set of n elements.

In this case, n = 3 (the number of flips) and r = 1 (the number of heads).

This gives us 3C1 = 3, which is the number of outcomes with exactly one head.

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The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.

The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.

The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:

= 5 - 1

= 4

The level of significance would be:

= 1 - 99. 0 %

= 0. 01

The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.

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Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer: 20

Step-by-step explanation:

The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

The five more known rotation rules are given as follows:

The original coordinates for this problem are given as follows:

A(0,0), B(5,2), C(5,-5), D(0,-3).

Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

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Answer:

y=3x-2

Step-by-step explanation:

y-4=3(x-2)

y-4=3x-6

y=3x-2

Answer:

R = √(2/3)

h = 1/√3

Step-by-step explanation:

Given that

The volume of a cylinder, V = πr²h

Assuming that the hypotenuse of a right angles triangle in the cylinder is 1. This means the square of the adjacent and the opposite sides is equal to one. And thus,

r² + h² = 1

r² = 1 - h²

If you substitute for r² in the volume of the cylinder, you have

V = π(1 - h²)h

V = πh - πh³

To find the critical point, we differentiate V, so that

dV = π - 3πh², if we equate this to zero, we have

π - 3πh² = 0

π = 3πh²

1 = 3h²

h² = 1/3

h = 1/√3

Also, to find for which value of h do we have maximum or minimum volume, we differentiate again. So that.

V'' = 0 - 6πh

On substituting for h, we have

V'' = -6π * 1/√3

This invariably means that V'' of 1/√3 is less than 0(since it's negative)

Going back to the first formula of r, we have

r² = 1 - h²

On substituting for h, we have

r² = 1 - (1/√3)²

r² = 1 - 1/3

r² = 2/3

r = √(⅔)

The radius and height of the cylinder of maximum volume are;

Radius = √6

Height = √3

Formula for volume of a cylinder is;

V = πr²h

       We are told that the hemisphere has a radius of 3 and sits on a horizontal plane. This means that the radius of the sphere will be the diagonal gotten from the intersection of the radius (r) of the cylinder and the height (h) of the cylinder. Thus, from Pythagorean theorem, we have;

r² + h² = 3²

r² = 9 - h²

Volume is now;

V = π(9 - h²)h

V = π(9h - h³)

Let us find the derivative of the volume and equate to zero the find the height and radius at maximum volume. Thus;

dV/dh = π(9 - 3h²)

At dV/dh = 0;

π(9 - 3h²) = 0

Thus; 3h² = 9

h² = 9/3

h² = 3

h = √3

Thus; r² = 9 - (√3)²

r² = 9 - 3

r² = 6

r = √6

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Answer:

(0.25 ; 21.75)

8.7 (1 decimal place)

Step-by-step explanation:

Net change in scores : X = 6,14,12,23,0

Sample mean, xbar = (6 + 14 + 12 + 23 + 0) /5 = 55 /5 = 11

Sample standard deviation, s = 8.66 ( from calculator)

Sample standard deviation = 8.7( 1 decimal place)

Sample size, n = 5

The 95% confidence interval; we use t, because n is small

Tcritical at 95%, df = 4 - 1 = 3 ; Tcritical = 2.776

Xbar ± standard Error

Standard Error = Tcritical * s/√n

Standard Error = 2.776 * 8.66/√5

Standard Error = 10.751086 = 10.75

Lower boundary = (11 - 10.75) = 0.25

Upper boundary = (11 + 10.75) = 21.75

(0.25 ; 21.75)

The

Answer:

The answer is 1054ft³

Step-by-step explanation:

Volume of rectangular prism =1/3LWH

V=1/3×31/2×51/3×12

V=1054ft³

The function is continuous in the domain x ≥ 3/4

Here we have a root function:

f(x) = ⁴√(4x - 3)

This is an even degree root function, so we have problems when the argument is negative.

Then the allowed values (where the function is defined, and thus, continuous) are:

4x - 3 ≥ 0

4x ≥ 3

x ≥ 3/4

There the function is continuous.

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A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.

(i) The exponential function that models the decay of the substance is given by:

\(N(t) = Noe^(-0.088t)\)

(ii) If \(400g\) of the substance is present at to, then  \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:

\(N(3) = 400e^(-0.0883) = 309.21g\)  (rounded to two decimal places)

(iii) The rate of change of the amount of the substance after 3 days is given by:

 \(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)

(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:

\(N(t) = 0.5No\)

\(0.5No = Noe^(-0.088t)\)

\(0.5 = e^(-0.088t)\)

\(ln(0.5) = -0.088t\)

\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)

Therefore, after  \(7.89\) days, half of the original  \(400g\) of the substance will remain.

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Answer:

Scars to Your Beautiful Analysis

Alessia Cara uses figurative language to emphasize that our differences are what makes us beautiful and we should embrace it. She personifies that the world has possibilities to change its opinions on people with differences by saying "the world could change it's heart".

Step-by-step explanation:

is this it?

9514 1404 393

Answer:

  18 miles

Step-by-step explanation:

The map distance and ground distance are proportional.

  (distance to school)/(3 in) = (12 miles)/(2 in)

Multiplying by 3 in gives ...

  distance to school = (12 miles)(3/2) = 18 miles

Answer:

x = 20

Step-by-step explanation:

90° - 76° = 14°

\((x-6)=14\)

\((x+6)=+6\)         Add 6 to both sides

   x      =   20

Hence, x = 20

Answer: X=20

Right angles are 90 degrees and 90-76=14... X-6=14... add 6 to 14 and get 20. X=20. Don't quote me on it I haven't done this stuff in a year.

Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.

Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter

Time taken by Peter = 2PM - 10AM

= 4 hrs

Speed of Peter = 84 km/h

Distance travelled by Peter = speed × time

= 84 × 4

= 336 km

So, the distance between Town A and Town B  = distance travelled by Peter = 336 km.

Now, we will calculate time taken by William.

Speed of William = 70 km / hr

Distance travelled by William = distance between Town A and town B = 336 km

Time taken by William = distance / speed

= 336 / 70 hr

= 4.8 hr

This can b converted into hrs and minutes

4.8 hr = 4 hr + 0.8 × 60

= 4 hr 48 mins

Time William took off = 10 AM - 1hr 25 mins

= 8:35 AM

Now, we will calculate the time William would reach town B.

Time = 8:35 + 4hr 48 mins

= 1:23 PM

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Answer:

He should have added 5 to each side instead of -5

Step-by-step explanation:

4X + 1 = 5x +(-5)

Subtract 4x from each side

4X-4x + 1 = 5x-4x +(-5)

Combine like terms

1 = x-5

Add 5 to each side  

He should add 5 to each side ( we need to add the opposite of (-5)) to undo the adding  of (-5)

1+5 = x-5+5

6 =x

Answer:

y=-1x-6

Step-by-step explanation:

the slope is -1

use y=mx+b

Plug  the point into y=mx+b, -7=-1(1)+b

-7=-1+b

add 1 both sides the y- intercept is b=-6

Answer:

252 Cheese Bugers were sold on Thursday

Step-by-step explanation:

378 divided by 3=126

126+126= number of hamburgers

126= number of chese bugers

126+126=252

Answer:

Step-by-step explanation:

Rewrite the function using the change-of-base identity as

\(e^{x^2} \log_{10}(2x) = e^{x^2} \dfrac{\ln(2x)}{\ln(10)}\)

Apply the product rule:

\(\left(e^{x^2} \log_{10}(2x)\right)' = \left(e^{x^2}\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \left(\dfrac{\ln(2x)}{\ln(10)}\right)'\)

Use the chain rule:

\(\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(x^2\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac{(2x)'}{2\ln(10)x}\)

Compute the remaining derivatives:

\(\left(e^{x^2} \log_{10}(2x)\right)' = 2xe^{x^2} \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac2{2\ln(10)x} = e^{x^2}\left(\dfrac{2x\ln(2x)}{\ln(10)} + \dfrac1{\ln(10)x}\right)\)

If you like, you can convert back to base-10 logarithms:

ln(2x) / ln(10) = log₁₀(2x)

1 / ln(10) = ln(e) / ln(10) = log₁₀(e)

Then

\(\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(2x\log_{10}(2x)+\frac{\log_{10}(e)}x\right)\)