The photo of you and your friends at the local amusement park has a length of 1 5/3 inches and a width of 1 3/4 inches. Find the area in square inches of the photo of you and your friends.

Answer: umm it k

Step-by-step explanation: k+g-g=k

g-g=0

k=k

Answer:

50 ft. × 50 ft.

Step-by-step explanation:

Let's assume that the rectangular exhibit has a length of 'L' and a width of 'W'. The area of the exhibit is given as 2500 square feet, so we have:

L × W = 2500

We want to change the dimensions of the exhibit to minimize the amount of fencing needed while keeping the same area. The amount of fencing needed is directly proportional to the perimeter of the exhibit. The perimeter of a rectangular exhibit is given as:

P = 2L + 2W

We want to minimize P while keeping the area constant. One way to do this is to use the area formula to express one of the variables in terms of the other and then substitute it in the perimeter formula.

From the area formula, we have:

L × W = 2500

W = 2500 / L

Substituting W in the perimeter formula, we get:

P = 2L + 2(2500 / L)

Simplifying, we get:

P = 2L + 5000/L

To minimize P, we can take the derivative of P with respect to L and set it to zero:

dP/dL = 2 - 5000/L² = 0

Solving for L, we get:

L² = 2500

L = 50

Substituting L in the equation for W, we get:

W = 2500 / L = 50

Therefore, the new dimensions of the rectangular giraffe exhibit should be 50 feet by 50 feet to minimize the amount of fencing needed while keeping the same area.

The maximum number of poles required to drive the load is 8.

full load speed = 120*f/p

850 = 120*60/p

p = 120*60/850

p = 8.47

since no. of poles are even so

p = 8

if number pole p = 8

synchronous speed Ns = 120*f/p = 120*60/8 = 900RPM

SLIP = (Ns - N)/Ns

s = (900-850)/900

s = 0.056

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Answer:

yes, since it takes 48 gallons of gas to go one direction to go back it is 96

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If her daughter lives 1,650 miles away, and her gift card is for q00 miles of gas, and her car can travel 35 miles on each gallon, it would take about 47 gallons to make the 1,650 mile trip to her daughter. Leaving 53 gallons on her car.

To make the 1,650 mile trip back to her own home, it would take another 47 gallons. Since she still has 53 gallons left from her trip there, she will be able to make the trip back with still 6 gallons in her tank.

Answer:

3x² - 4x - 5

Step-by-step explanation:

Definitions:

Long Division Method of dividing polynomials:

Given:

Rearrange the dividend in descending order of the exponents:

6x³ - 17x² + 2x  + 15

Now use the method of long division to divide (6x³ - 17x² + 2x  + 15) by (2x - 3):

\(\large \begin{array}{r}3x^2-4x-5\phantom{)}\\2x-3{\overline{\smash{\big)}\,6x^3-17x^2+2x+15\phantom{)}}}\\{-~\phantom{(}\underline{(6x^3-9x^2)\phantom{-b)))))))).)}}\\-8x^2+2x+15\phantom{)}\\-~\phantom{()}\underline{(-8x^2+12x)\phantom{)))..}}\\-10x+15\phantom{)}\\-~\phantom{()}\underline{(-10x+15)\phantom{}}\\0\phantom{)}\\\end{array}\)

Therefore, the quotient is:

\(\boxed{\boxed{3x^2-4x-5}}\)

Answer:

12.5%

Step-by-step explanation:

(1/4)*(1/2) = 1/8

1/8 = 12.5 %

Answer:

True

Step-by-step explanation:

The second derivative of an implicit function can be found using sequential differentiation of the initial equation F(x,y)=0. At the first step, we get the first derivative in the form y′=f1(x,y). On the next step, we find the second derivative, which can be expressed in terms of the variables x and y as y′′=f2(x,y).

I hope this is correct or at least  helps incase I understood the directions above incorrect

Answer:

6 units

Step-by-step explanation:

Given data

x1=4

y1=6

x2=5

y2=0

substitute in the formula for the distance between two points

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((5-4)²+(0-6)²)

d=√((1)²+(6)²)

d=√36)

d=6

Hence the distance is 6 units

Answer:

The change should Sara receive from the $10 bill is $3.56.

Step-by-step explanation:

Given:

The table shows the prices of some breakfast items at a restaurant.

Item                                      Price

One egg                               $1.69

Slice of bacon                      $1.49

Glass of orange juice          

$1.09

Sara ordered 2 eggs, a slice of bacon, and  a glass of orange juice for breakfast.

The sales tax for the order was $0.48.

She paid for her breakfast with a  $10 bill.

Now, to find the change should Sara receive from the $10 bill.

Bill for the Sara's breakfast:

2 eggs =

A slice of bacon = $1.49.

A glass of orange = $1.09.

The sales tax = $0.48.

Total bill =

Sara paid for the breakfast bill = $10.

Now, to get the change Sara should receive we subtract the amount of bill from the money Sara paid for the bill:

Therefore, the change should Sara receive from the $10 bill is $3.56.

Answer:

Her change would be 3 dollars and 56 cents

Step-by-step explanation:

1.69 times 2 because she ordered 2 eggs

1.49 for the bacon

1.09 for the orange juice

0.48 for the sales tax

add them all up

it would equal 6.44

then subtract 6.44 from 10 which would equal 3.56

Answer:

1

Step-by-step explanation:

a fourth is 1/4 meaning Fourth = 1/4

Answer: x = 3

Step-by-step explanation:  Solve for x by simplifying both sides of the equation, then isolating the variable x = 3

Answer:

X=3

Step-by-step explanation:

2x+3-2x=x

remove 2x and -2x bc they cancel eachother out

and your left with X=3

Answer:

\(P(-2.05<X<-1.49)=P(\frac{-2.05-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{-1.49-\mu}{\sigma})=P(\frac{-2.05-0}{1}<Z<\frac{-1.49-0}{1})=P(-2.05<z<-1.49)\)

And we can find this probability with this difference

\(P(-2.05<z<-1.49)=P(z<-1.49)-P(z<-2.05)=0.068- 0.0202= 0.0478\)

And we can see the figure in the plot attached.

Step-by-step explanation:

Let X the random variable that represent the redings on thermometers of a population, and for this case we know the distribution for X is given by:

\(X \sim N(0,1)\)  

Where \(\mu=0\) and \(\sigma=1\)

We are interested on this probability

\(P(-2.05<X<-1.49)\)

We can use the z score formula given by:

\(z=\frac{x-\mu}{\sigma}\)

Using this formula we got:

\(P(-2.05<X<-1.49)=P(\frac{-2.05-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{-1.49-\mu}{\sigma})=P(\frac{-2.05-0}{1}<Z<\frac{-1.49-0}{1})=P(-2.05<z<-1.49)\)

And we can find this probability with this difference

\(P(-2.05<z<-1.49)=P(z<-1.49)-P(z<-2.05)=0.068- 0.0202= 0.0478\)

And we can see the figure in the plot attached.

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Hello!

25 wooden ..... 5.5 hours

x wooden ..... 9.9 hours

_____________________

25/x = 5.5/9.9

25 × 9.9 = x × 5.5

247.5 = x × 5.5

x × 5.5 = 247.5

x = 247.5 : 5.5

x = 45 wooden

Good luck! :)

Answer:

45

Step-by-step explanation:

In questions such as these it is implied Anita can and does work at a constant rate. Therefore, we can set up the following proportion:

\(\frac{25}{5.5}=\frac{x}{9.9}\), where \(x\) represents the number of wooden slats she can paint in 9.9 hours.

Multiplying both sides by 9, we get:

\(x=\frac{9.9\cdot 25}{5.5},\\x=\boxed{45}\)

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Radius of sphere is ~

Now, let's find the volume ~

Answer:  I think its answer d) -not really sure

step-by-step explanation:  4.4  -move decimal one time to the right, the thenths place is the 4 and because its a low number it wont increse..

Answer:

How about crust

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The gradient of a line can be found using the formula below:

\(\boxed{\text{Gradient}=\frac{y_1-y_2}{x_1-x_2} }\)

In the formula, \((x_1,y_1)\) is the first coordinate and \((x_2,y_2)\) is the second coordinate.

Gradient

\(=\frac{16-6}{2-0}\)

\(=\frac{10}{2}\)

= 5

Additional:

For a similar question on gradient of line, do check out the following!

The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

The two consecutive integers such that twice the smaller diminished by the larger is 71 are 70 and 71.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The corresponding positive numbers' additive inverses are the negative numbers.

Let the integer be x and x + 1.

Since twice the smaller diminished by the larger by 71. This will be:

2x - x + 1 = 71

Collect the like terms

x + 1 = 71

x = 71 - 1

x = 70

It should be noted that in this scenario, 70 simply represents the smaller number.

The bigger number based on the information will be:

= 70 + 1

= 71

Therefore, based on the calculation, the numbers smaller number is 70 and the bigger number is 71.

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Given function is

Differentiating K(z) w.r.t z, we have,

To find the stationary point, let us solve the equation K'(z)=0

Now, we again differentiate K'(z) w.r.t z.

At z=0,

Therefore, at z=0, the function attains maximum value.

The maximum value of the function is

In the domain (-4,4), there is no absolute minima for the given function.

The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

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The exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

The mean (also called the arithmetic mean or average) is a measure of central tendency that represents the typical or average value of a set of data. The mean is calculated by summing up all the values in the data set and dividing by the number of values.

a. To calculate the probability that 45 or more people in the survey get enough exercise using a normal approximation for p hat, we need to first find the mean and standard deviation of the sample proportion.

The mean of the sample proportion is:

μ = p = 0.20

The sample proportion's standard deviation is:

σ = √[(p(1-p))/n] = √[(0.20)(0.80)/200] = 0.034

Using the normal distribution with a continuity correction, we can find the probability of 45 or more people getting enough exercise:

z = (45 - 0.20200 + 0.5) / √(0.200.80*200) = 1.24

P(Z > 1.24) = 0.1082

Therefore, the probability that 45 or more people in the survey get enough exercise is approximately 0.1082.

b. To find the exact binomial probability that 45 or more people in the survey get enough exercise, we can use the binomial cumulative distribution function (CDF) with n = 200 and p = 0.20:

P(X ≥ 45) = 1 - P(X < 45) = 1 - binomcdf(200, 0.20, 44) = 0.0853

Therefore, the exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

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The perimeter of the composite figure that is given above would be = 96.6m.

To calculate the perimeter of the given shape, it has to be divided into two.

First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)

Where ;

length = 16m

width = 11m

perimeter = 2(16+11)

= 2×27

= 54m

The second shape:

Perimeter of triangle = l+w+h

where;

length = 18-11 = 7m

width = 16m

height = 19.5m

perimeter = 7+16+19.5 = 42.5m

Therefore, the perimeter of the shape = 54+42.5 = 96.6m

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Answer:

2172.7

Step-by-step explanation:

Answer:

the full answer would be 2172.76595745

Answer:

  see below

Step-by-step explanation:

√3.5 is about 1.871, just a little less than 1 7/8 or 1.9. The graph below plots the point on a number line.