Here is a Fill in the Gaps Question:

A prism is a three-______________ shape with the same _______________ all the way through.

Please help.

Jake :)

P.S you will get 40 pts :)

Answer:

10, 13, 3, 12, and 2

Step-by-step explanation:

Answer:

centre = (2, - 5) and radius = 4

Step-by-step explanation:

The centre is positioned at (2, - 5 )

The distance from the centre to the circumference, the radius, is 4

Answer:

[tex] \boxed{Height \: of \: cylinder = 9 \: centimeters} [/tex]

Given:

Volume of cylinder = 576π cubic centimeters

Radius of cylinder (r) = 8 centimeters

Step-by-step explanation:

Let the height of cylinder be 'h'

[tex] = > Volume \: of \: cylinder = \pi {r}^{2} h \\ \\ = > 576 \cancel{\pi} = \cancel{ \pi}( {8}^{2} )h \\ \\ = > 576 = 64h \\ \\ = > 64h = 576 \\ \\ = > h = \frac{576}{64} \\ \\ = > h = 9 \: centimeters [/tex]

Height of cylinder = 9 centimeters

Answer:angle hlm is bisected by Lj

Step-by-step explanation:

The true statement is ∠HLM is bisected by LI

Given that ∠KLH=120°

We know that angle of straight line is 180°

∴∠KLM=180°

∠KLH+∠HLM=180°

120°+∠HLM=180°

∠HLM=60°

From figure, ∠HLI=30° and ∠ILM=30°

Line LI cuts the angle HLM into two equal parts such as HLI and ILM.

Therefore, ∠HLM is bisected by LI

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Answer:

a = -99

Step-by-step explanation:

(−−99) is equal to just 99 since a negative and a negative equals a positive.

If -a is equal to 99, a must equal -99.

1. The volume under the surface [tex]f(x,y)=e^{x+y}[/tex] is given by the double integral,

[tex]\displaystyle\int_0^1\int_0^1e^{x+y}\,\mathrm dx\,\mathrm dy[/tex]

We split up the integration region into a 2x3 grid of rectangles whose upper right corners are determined by the right endpoints of the partition along either axis. That is, we split up the [tex]x[/tex] interval [0, 1] into 2 subintervals,

[0, 1/2], [1/2, 1]

with right endpoints given by the arithmetic sequence,

[tex]r_i=0+\dfrac{i(1-0)}2=\dfrac i2[/tex]

for [tex]i\in\{1,2\}[/tex], and the [tex]y[/tex] interval [0, 1] into 3 subintervals,

[0, 1/3], [1/3, 2/3], [2/3, 1]

with right endpoints

[tex]r_j=0+\dfrac{j(1-0)}3=\dfrac j3[/tex]

for [tex]j\in\{1,2,3\}[/tex].

Then the upper right corners of the 6 rectangles are the points

(1/2, 1/3), (1/2, 2/3), (1/2, 1), (1, 1/3), (1, 2/3), (1, 1)

generated by the sequence [tex](r_i,r_j)[/tex].

The integral is thus approximated by the sum

[tex]\displaystyle\sum_{j=1}^3\sum_{i=1}^2f(r_i,r_j)\dfrac{1-0}m\dfrac{1-0}n=\dfrac16\sum_{j=1}^3\sum_{i=1}^2f(r_i,r_j)=\frac{e^{5/6}+e^{7/6}+e^{4/3}+e^{5/3}}6[/tex]

or approximately 2.4334. (Compare to the actual value of the integral, which is close to 2.952.)

For the midpoint rule estimate, we replace the sampling points [tex](r_i,r_j)[/tex] with [tex](m_i,m_j)[/tex], i.e. the midpoints of each subinterval, so the set of sampling points is

(1/4, 1/6), (3/4, 1/6), (1/4, 1/2), (3/4, 1/2), (1/4, 5/6), (3/4, 5/6)

and the integral is approximately

[tex]\displaystyle\sum_{j=1}^3\sum_{i=1}^2f(m_i,m_j)\dfrac{1-0}m\dfrac{1-0}n=\frac{e^{5/12}+e^{3/4}+e^{11/12}+e^{13/12}+e^{5/4}+e^{19/12}}6[/tex]

or about 2.908.

2. We approach the second integral the same way. Split up the [tex]x[/tex] interval into 8 subintervals with left and right endpoints given respectively by

[tex]\ell_i=-2+\dfrac{(i-1)(2-(-2))}8=\dfrac{i-5}2[/tex]

[tex]r_i=-2+\dfrac{i(2-(-2))}8=\dfrac{i-4}2[/tex]

for [tex]i\in\{1,2,\ldots,8\}[/tex], and the [tex]y[/tex] interval into 2 subintervals with

[tex]\ell_j=0+\dfrac{(j-1)(2-0)}2=j-1[/tex]

[tex]r_j=0+\dfrac{j(2-0)}2=j[/tex]

for [tex]j\in\{1,2\}[/tex].

The upper left corners of the rectangles in this grid are given by the sequence [tex](\ell_i,r_j)[/tex]. So the integral is approximately

[tex]\displaystyle\sum_{j=1}^2\sum_{i=1}^8f(\ell_i,r_j)\frac{2-(-2)}m\frac{2-0}n=51[/tex]

(Compare to the actual value, 32.)

The unit price of the first one which is a is 8 cents an ounce. The second one is 9 cents an ounce.

What you do is you take your price and divide it by the ounces.

Question one's answer is 0.08

Question two's answer is 0.09

Answer:

The volume is 997.62 cubic units..

Step-by-step explanation:

We are given the following details:

The pyramid has a regular hexagonal base i.e. each side of hexagon is equal.

Side of hexagonal base, a = 8 units

Altitude of pyramid, h = 18 units

We have to find the volume of pyramid.

Formula:

[tex]V = \dfrac{1}{3} \times B \times h[/tex]

Where, B is the area of base of pyramid.

h is the height/altitude of pyramid

To calculate B:

Here, base is a hexagon with side 8 units.

[tex]\text{Area of hexagon, B }= 6 \times \dfrac{\sqrt{3}}{4}a^{2}[/tex]

Here, a = 8 units

[tex]\Rightarrow B = 6 \times \dfrac{\sqrt{3}}{4}\times 8^{2}\\\Rightarrow B = 166.27\text{ square units}[/tex]

Putting values of B and h in Formula of volume:

[tex]\Rightarrow V = \dfrac{1}{3} \times 166.27 \times 18\\\Rightarrow V = \dfrac{2992.89}{3} = 997.62\text{ cubic units}[/tex]

Hence, the volume is 997.62 cubic units.

Answer:

(1) II only

Step-by-step explanation:

[tex]\frac{1}{2} +\sqrt{2} \:is\: the\: only\: irrational\; number\: out\; of\: the\: given\: numbers.[/tex]

Answer:

A. If Frank is on the toll road for 8.00 miles and then leaves the lane, how much will he have to pay total for the trip?

B. Each day, Susan has to pay a toll of $10.00 when she uses the toll lane to get to school. How many miles does Susan travel on the toll lane to get to school?

C. John started a carpool with his coworkers to save money. He and his three passengers split the cost of the toll. If each person pays about $2.31 (which includes their contribution to the toll lane entry fee), how many miles do they travel on the toll lane?

Step-by-step explanation:

the toll lane charges $0.25 fixed plus $0.75 per mile driven: fee = $0.25 + $0.75miles

a) Frank ⇒ $0.25 + (8 x $0.75) = $6.25

b) Susan ⇒ $10 - $0.25 = $9.75 / 0.75 = 13 miles

c) John ⇒ $2.31 x 3 = $6.93 - $0.25 = $6.68 / 0.75 = 8.91 ≈ 9 miles. Each passenger should pay $2.33 because the total toll lane fee is $7.

Answer:

[tex]615.75units^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2\frac{h}{3} \\=\pi 7^2\frac{12}{3} \\=615.75units^3[/tex]

Answer:

[tex]y=2x^2+8x+8[/tex]

Step-by-step explanation:

Notice that we are looking for a quadratic function that has only one real solution for y=0, that is a unique point that touches the x-axis

We need therefore to look at the discriminant associated with all 4 equations constructed by equaling y to zero. We then try to find one that gives discriminant zero , corresponding to a unique real solution to the equation.

a) [tex]9x^2+6x+4=0[/tex]  has discriminant: [tex]6^2-4(9)(4)=-108[/tex]

b) [tex]6x^2-12x-6=0[/tex] has discriminant: [tex](-12)^2-4(6)(-6)=288[/tex]

c) [tex]3x^2+7x+5=0[/tex] has discriminant: [tex](7)^2-4(3)(5)=-11[/tex]

d) [tex]2x^2+8x+8=0[/tex] has discriminant: [tex](8)^2-4(2)(8)=0[/tex]

Therefore, the last function is the one that can have such graph

Answer:

d

Step-by-step explanation:

Answer:

[tex]z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43[/tex]  

Now we can calculate the p value with the following probability:

[tex]p_v =P(z>2.43)=0.0075 \approx 0.008[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

[tex]\hat p=0.64[/tex] estimated proportion of interest

[tex]p_o=0.5[/tex] is the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level

Confidence=95% or 0.95

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:  

Null hypothesis:[tex]p =0.5[/tex]  

Alternative hypothesis:[tex]p > 0.5[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43[/tex]  

Now we can calculate the p value with the following probability:

[tex]p_v =P(z>2.43)=0.0075 \approx 0.008[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Testing the hypothesis, it is found that:

The null hypothesis is:

[tex]H_0: p = 0.5[/tex]

The alternative hypothesis is:

[tex]H_0: p > 0.5[/tex].

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are: [tex]\overline{p} = 0.64, p = 0.5, n = 75[/tex].

The value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.64 - 0.5}{\sqrt{\frac{0.5(0.5)}{75}}}[/tex]

[tex]z = 2.42[/tex]

The p-value is the probability of finding a sample proportion above 0.64, which is 1 subtracted by the p-value of z = 2.42.

Looking at the z-table, z = 2.42 has a p-value of 0.992.

1 - 0.992 = 0.008, hence, the p-value is of 0.008.

Since the p-value of the test is 0.008 < 0.05, there is significant evidence to conclude that the proportion is greater than 0.5.

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Answer:

On the positive Y-axis

Step-by-step explanation:

Answer:

Positive Y-axis

Step-by-step explanation:

Answer:

A) 1

Step-by-step explanation:

2(1+x)= x+3

2(1+1)= 1+3

2×2= 4

4=4

Hence proven

Answer:

A. 1

Step-by-step explanation:

2(1 + x) = x + 3

2 + 2x = x + 3

2x - x = 3 - 2

x = 1

Answer:

Step-by-step explanation:

Considering the store in your neighborhood, price per pound of chicken is $2.89. The cost of 3 pounds is

3 × 2.89 = $8.67

Distance = 2.1 miles

The car averages about 22 miles per gallon in the city. It means that the number of gallons needed is

2.1/22 = 0.095 gallons

Cost of gas = $1.98/gallon

Cost of 0.095 gallons =

1.98 × 0.095 = $0.1881

Total cost = 8.67 + 0.1881 = $8.86

Considering the store across town, price per pound of chicken is $1.59. The cost of 3 pounds is

3 × 1.59 = $4.77

Distance = 8.6 miles

The car averages about 22 miles per gallon in the city. It means that the number of gallons needed is

8.6/22 = 0.39 gallons

Cost of gas = $1.98/gallon

Cost of 0.39 gallons =

1.98 × 0.39 = $0.77

Total cost = 4.77 + 0.77 = $5.54

Therefore, it is cheaper going to the further store. The amount that the cheaper option saves is

8.86 - 5.54 = $3.32

Answer: a to the power 13

Step-by-step explanation: identity: a^m × a^n= a^m+n

^ means 'to the power'

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)

(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

Answer:

Null hypothesis:[tex]p\geq 0.25[/tex]  

Alternative hypothesis:[tex]p < 0.25[/tex]  

The statistic would be given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Now we need to find the critical value for the rejection zone of the null hypothesis. Since we have a left tailed test we need to find in the normal standard distirbution a value who accumulate 0.05 of the area in the left tail and we got:

[tex] z_{crit}= -1.65[/tex]

And the best choice for this case would be:

z < − 1.65

Step-by-step explanation:

Information provided

n=2431 represent the random sample taken

[tex]\hat p=[/tex] estimated proportion of interest

[tex]p_o=0.25[/tex] is the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level

Confidence=95% or 0.95

z would represent the statistic

Hypothesis to test

We want to verify if the true proportion of Americans who reduced meat consumption last year is less than 0.25, then the system of hypothesis are :

Null hypothesis:[tex]p\geq 0.25[/tex]  

Alternative hypothesis:[tex]p < 0.25[/tex]  

The statistic would be given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Now we need to find the critical value for the rejection zone of the null hypothesis. Since we have a left tailed test we need to find in the normal standard distirbution a value who accumulate 0.05 of the area in the left tail and we got:

[tex] z_{crit}= -1.65[/tex]

And the best choice for this case would be:

z < − 1.65

Answer:

she should use 2 cups of peanut butter

Step-by-step explanation:

to know the answer to that

use this equation (pb is peanut butter &o is oil)

1cup of pb=1/2 cup of o

?=1 cup of o

1×1÷1/2= 1×1×2/1=2co cups of pb

Answer:

i think it might be 17%

Step-by-step explanation:

if you divide 100 by 10 u get 10 then divide 10 by 6 to get 1.6666666667 round that to one decimal place to get 1.7 then times it by 10 to get 17

Answer:

Answer is 1/6 (fraction answer)

Answer: 35 miles per hour.

Step-by-step explanation:

Miles per hour is found by dividing miles driven by the time it took to drive said miles.

175 / 5 = 35 miles per hour.

Answer:

35 mph

Step-by-step explanation:

175/5=35

Answer:

Height = (x² + 10x + 25)

Step-by-step explanation:

We are given;

volume of cylinder; v = (x+5)•(x² + 10x + 25)π

Diameter = 2x + 10

So radius;r = diameter/2 = (2x + 10)/2 = x + 5

Now,formula for volume of cylinder is;

V = πr²h

Where r is radius and h is height

Plugging in the relevant values, we have;

(x+5)•(x² + 10x + 25)π = π(x + 5)*h

Dividing both sides by π(x + 5) gives us;

h = (x² + 10x + 25)

Answer:

The equation of the hyperbola is:

[tex]\frac{x^{2}}{76} - \frac{y^{2}}{12} = 1[/tex]

Step-by-step explanation:

The equation of a hyperbola centered in the origin in standard form is:

[tex]\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}} = 1[/tex]

The distance between both vertexes is equal to:

[tex]2\cdot b = \sqrt{(0-0)^{2}+(\sqrt{12}+\sqrt{12})^{2}}[/tex]

[tex]2\cdot b = 2\cdot \sqrt{12}[/tex]

[tex]b = \sqrt{12}[/tex]

Now, the distance between any of the vertexes and origin is:

[tex]c = \sqrt{(0-0)^{2}+[(4-(-4)]^{2}}[/tex]

[tex]c = 8[/tex]

The remaining parameter of the hyperbola is determined by the following Pythagorean expression:

[tex]c^{2} = a^{2} - b^{2}[/tex]

[tex]a = \sqrt{c^{2}+b^{2}}[/tex]

[tex]a = \sqrt{64+12}[/tex]

[tex]a = \sqrt{76}[/tex]

The equation of the hyperbola is:

[tex]\frac{x^{2}}{76} - \frac{y^{2}}{12} = 1[/tex]

Answer:

The equation of the hyperbola is:

x²/76 - y²/12 = 1

Step-by-step explanation:

The standard for of an equation of a hyperbola centered in the origin is given as:

x²/a² - y²/b² = 1

The distance between both vertexes is:

2b, where b = √12

The distance between any of the vertexes and origin is:

c = 8

But a² = b² + c² (Pythagoras rule)

c² = a² - b²

8² = a² - 12

a² = 64 + 12 = 76

a = √76

Therefore, the equation of the hyperbola is:

x²/76 - y²/12 = 1

Answer:

P(X = 4) = 0.1876

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In this question:

[tex]n = 15, p = 0.2[/tex]

We want P(X = 4). So

[tex]P(X = 4) = C_{15,4}.(0.2)^{4}.(0.8)^{11} = 0.1876[/tex]

Answer:

17/2 pi

Step-by-step explanation:

Area of the whole circle is pi r², which is 9 pi

9 pi x 17/9 pi / 2 pi = 17/2 pi

Answer: i just took the quiz it is 15

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

She found that the area of the garden will be 127 and one-half square feet by using the equation Area = b h. If the height, h, of the parallelogram-shaped garden is 8 and one-half feet, what is the base, b, in feet? Hmm so it says that base times height equals 127 and one half square feet and the height is 8 and one half feet so you guessed it you have to divided 127 and one half square feet by 8 and one half feet which is 15.

Hope this helped for you understanding how to do this problem have a great day!

Answer:

s=47

Step-by-step explanation:

s=[tex]\frac{611}{13}[/tex]

s=47

Answer:

A

Step-by-step explanation:

Removal of greatest common multiple makes the equation easier to factor it.

The best reason for factoring out the greatest common​ factor is,

⇒ Factor out the greatest common factor first because it makes the trinomial easier to factor if the numerical and variable parts are simpler.

The highest number that divides exactly into two more numbers, is called  Greatest common factors.

Given that;

We have to choose the best reason for factoring out the greatest common​ factor, if there is​ one, before attempting to factor a trinomial.

Now, We know that;

When we factor out the greatest common factor first then it makes the trinomial easier to factor if the numerical and variable parts are simpler.

Thus, The best reason for factoring out the greatest common​ factor is,

⇒ Factor out the greatest common factor first because it makes the trinomial easier to factor if the numerical and variable parts are simpler.

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Answer:

(2,0)

Step-by-step explanation:

To find the midpoints of two points in the format (x,y), we find the mean for the values of x and y.

In this question:

(-2,4) and (6,-4)

Mean for the values of x:

(-2 + 6)/2 = 2

Mean for the values of y:

(4-4)/2 = 0

Midpoint:

(2,0)

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Trout increased its predicted average population.