Solids A and B are similar. Use the given information and scale factor & from solid A to solid B to find the surface area of solid B to the nearest hundredth. The surface area of cone A is 150 square
meters and k = 5/4

Brian earns 30 points when Brian collects 2 red gems, 2 yellow gems, and 2 blue gems,

Let r = red gems, y = yellow gem and b = blue gem.

Given that Brian earns 21 points when he collects 2 red gems and 3 yellow gems. So, we have 2r + 3y = 21  (1)

Also, he earns 31 points when he collects 2 yellow gems and 3 blue gems. So, we have

2y + 3b = 31 (2)

Finally, he earns 23 points when he collects 2 blue gems and 3 red gems. So, we have 2b + 3r = 23 (3)

From (3), b = (23 - 3r)/2

Substituting b into (2), we have

2y + 3b = 31

2y + 3(23 - 3r)/2 = 31

Expanding the bracket, we have

2y + (69 - 9r)/2 = 31

Multiplying through by 2, we have

4y + 69 - 9r = 62

4y - 9r = 62 - 69

4y - 9r = -7 (4)

So, we have two equations in y and r, which are

2r + 3y = 21  (1)

4y - 9r = -7 (4)

From (1) r = (21 - 3y)/2

substituting r into (4), we have

4y - 9(21 - 3y)/2 = -7

Expanding the bracket, we have

4y - (189 - 27y)/2 = -7

Multiplying through by 2, we have

8y -(189 - 27y) = -14

Expanding the bracket, we have

8y - 189 + 27y = -14

8y + 27y = 189 - 14

35y = 175

y = 175/35

y = 5

Substituting y = 5 into r, we have

r = (21 - 3y)/2

r = (21 - 3(5))/2

r = (21 - 15)/2

r = 6/2

r = 3

Substituting r = 3 into b, we have

b = (23 - 3r)/2

b = (23 - 3(3))/2

b = (23 - 9)/2

b = 14/2

b = 7

When Brian collects 2 red gems, 2 yellow gems, and 2 blue gems, we have

2r + 2y + 2b

substituting the values of r, y and b into the equation, we have

2r + 2y + 2b = 2 × 3 + 2 × 5 + 2 × 7

= 6 + 10 + 14

= 30 points.

So, Brian earns 30 points when Brian collects 2 red gems, 2 yellow gems, and 2 blue gems,

Learn more:

https://brainly.com/question/12404647

Answer:

30

Step-by-step explanation:

add 21 23 and 31 up we get 75 divide that by 5 and we get 15

There is insufficient evidence to support that bolts are too long or too short.

What is Mean and Standard Deviation?

Mean: Dividing the sum of all values in a data set by the number of values.

Standard Deviation: The standard deviation is a measure that summarizes how far away from the mean each observation is.

Given:

mean: 0.94cm

standard deviation = 0.31cm

Alright, so a manufacturer must test that these bolts are long as they come off the manufacturing line and he must readjust the machines if they're too long or too short. Consequently, sample 121V and sample mean are 0.94 cm. So we want to test whether or not these are actually equal to two, so are no hypothesis is that the mean is too and our alternative hypothesis, because it says that we have to recalibrate if they're too short or too long, is that the mean is not too we could probably go with the left tail test here because the sample mean is under but we'll be safer with a two tail test um just because the standard deviation may sway things.

So what we want to do next is compute the test statistic and that's gonna be a Z score and that's just supplied by X bar minus population mean over standard deviation over squared event. And we're using Z here because we have a high sample size and since we know the population standard deviation.

Hence, There is insufficient evidence to support that bolts are too long or too short.

To know more about Mean and Standard Deviation visit,

https://brainly.com/question/475676

#SPJ4

Answer:

12 feet.

Step-by-step explanation:

1 inch = 4 feet.

Multiply 3 by 4.

3×4=12

I multiplied 3 by 4 because 1-inch equals 4 feet, which means if we multiply both terms by 3, you will get 3 inch = 12 feet.

Hope this helps!

Answer:

4 divided by 5 is equal to 0.8. This decimal can also be written as a fraction. 0.8 = eight tenths or 8/10 (4/5 in its reduced form).

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

4 groups of 0.8=5?

(I didn't fully understand the question, but this is the answer that I would put)

Answer:

-12

Step-by-step explanation:

x+61+61+70=180

x+122+70=180

x+192=180

x=-12

It's the Second one and the third one

Step-by-step explanation:

Pie is irrational so you can easily cross it off and it leads to to the second one and the third one

its c BC I have w brain and I'm in 8th grade

Answer:

B

Step-by-step explanation:

you have to count up many spaces then then how many spaces to the other side until you get to the next connection and find the slope of the graph.

When the correct time is 8 p.m. the following evening, the faulty watch, which gains 10 seconds an hour will show 8:04 p.m.

The time is determined using the mathematical operations of division and multiplication.

The time that the faulty watch gains per hour = 10 seconds

The total number of hours from 8 p.m. one evening to the next = 24 hours

The total number of seconds that the faulty watch must have gained during the 24 hours = 240 seconds (24 x 10)

60 seconds = 1 minute

240 seconds = 4 minutes (240 ÷ 60)

Thus, while the correct time is showing 8 p.m., the faulty watch will be showing 8:04 p.m.

Learn more about mathematical operations at https://brainly.com/question/4721701.

#SPJ1

Therefore , the solution of the given problem of equation comes out to be  y=(x-12)³ and y=(x+8)³.

Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. Instead of a distinct algorithm that divides 12 into two parts and can be used to assess data received from y + 7, normalization in this case yields b + 7.

Here,

The following two equations show a rightward translation of the parent equation's coordinate plane graph:

=> y=(x-12)³

=> y=(x+8)³

Therefore , the solution of the given problem of equation comes out to be  y=(x-12)³ and y=(x+8)³.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The set of measures of association that represents the values of the null hypotheses is: RD=0, RR=1, OR=1

In statistical hypothesis testing, the null hypothesis typically assumes no association or no difference between variables. In this case, the null hypotheses would state that there is no risk difference (RD=0), no risk ratio (RR=1), and no odds ratio (OR=1).

Among the given options:

The first option (RD?0, RR?0, OR?0) indicates that the null hypotheses allow for any values of risk difference, risk ratio, and odds ratio.

The second option (RD=2.0, RR=6.0, OR=6.7) provides specific values for the measures of association, which do not match the null hypotheses.

The third option (RD=0, RR=1, OR=1) correctly represents the null hypotheses for all three measures of association.

Therefore, the correct answer is:

RD=0, RR=1, OR=1

To know more about null hypotheses visit :-

brainly.com/question/31898256

#SPJ4

Answer:

3/8

Step-by-step explanation:

Since the greatest is 3 1/2 and the least it 3 1/8

3 1/2 - 3 1/8 = 3/8

The data can be arranged in an ordering scheme, but differences cannot be found or are meaningless, making the ordinal level of measurement most appropriate.

The most appropriate level of measurement for the ranks of cars evaluated by a consumer's magazine is the ordinal level of measurement. This is because the ranks of the cars can be ordered based on their performance, but the differences between the ranks do not have any numerical meaning. In other words, we cannot say that the difference between the first and second ranked cars is the same as the difference between the second and third ranked cars. Therefore, the data can be arranged in an ordering scheme, but differences cannot be found or are meaningless, making the ordinal level of measurement most appropriate.

Learn more about ordering scheme here

https://brainly.com/question/29031577

#SPJ11

Answer:

1152 diapers are needed

Step-by-step explanation:

2 dozen babies is equall to 24 babies

-(1 dozen is 12 babies)

If 24 babies need a package of diapers which includes 48 diapers, we need to multiply 24x48 which equals 1152 diapers

Answer:1152

Step-by-step explanation:1 DOZEN MEANS 12 SO 2 DOZEN IS 12*2WHICH IS 24

NUMBER OF DIPER A BABY WOULD NEED  IS 48

NUMBER OF BABIES IS 12*2 =24

THEREFORE IF 24 BABIES EACH WOULD REQUIRE A CONTAINER WITH 48 DIPERS TOTAL NUMBER OF DIPERS NEEDED IS 24*48 WHICH IS 1152

The smallest whole number that satisfies the inequality 3x-1>2 is option B. 2.

For the given question;

The inequality is given as;

3x-1>2

Solve the inequality to get the value of x.

Add 1 on both side.

3x - 1 + 1 > 2 + 1

3x > 3

Divide both side by 3.

x > 1

Thus, the number must be greater than 1 and the smallest which is 2.

Therefore, the smallest whole number that satisfies the inequality is 2.

To know more about the whole number, here

https://brainly.com/question/732819

#SPJ13

Answer:

divide the two numbers ignoring the decimal point and then place the decimal point in the quotient in the same position as in the dividend

The simplified value of the expression  \(log_4\) 256 is 4.

Thus, option (C) is correct.

To evaluate the expression \(log_4\) 256, determine the power to which 4 must be raised to obtain 256.

So, the equation can be set up

\(4^x\) = 256.

Now, put the value of x one by one as

\(4^2 = 16\)

\(4^3 = 64\)

\(4^4 = 256\)

Thus, when the number 4 raise to the power 4 it gives 256.

Thus, option (C) is correct.

Learn more about Exponents here:

https://brainly.com/question/5497425

#SPJ6

Given equation, {dy}/{dx} - (1 + x)y = xy^2, here the given differential equation is of the form:

{dy}/{dx} + p(x)y = q(x)y^n when n is 2.

The required answer is  \($xy = \frac{1}{C - x^3/3}$\).

A Bernoulli equation is solved by an appropriate substitution.

\($\frac{dy}{dx} + p(x)y = q(x)y^2$\)

Substitute \($y^{-1} = v$\) and

\($\frac{dy}{dx} = -v^2 \frac{dv}{dx}$\)

Hence, the differential equation becomes

\(\[-v^2 \frac{dv}{dx} - (1+x) (\frac{1}{v}) = x\]\)

On simplifying,

\(\[\frac{dv}{dx} + \frac{1}{x} v = -xv^2\]\)

This is a first-order linear differential equation of the form

\($\frac{dy}{dx} + P(x)y = Q(x)$\)

The integrating factor I is given by,

\(\[I = e^{\int P(x) dx}\)

\(= e^{\int \frac{1}{x} dx}\)

= e^{ln x}

= x

On multiplying with integrating factor,

\(\[\frac{d}{dx}(xv) = -x^2 v^2\]\)

Integrating both sides, we get

\(\[xv = \frac{1}{C - x^3/3}\]\)

where C is the constant of integration.

Substituting

\($v = \frac{1}{y}$\)

we get

\(\[xy = \frac{1}{C - x^3/3}\]\)

Hence the solution to the given differential equation is \($xy = \frac{1}{C - x^3/3}$\).

Thus, the required answer is \(xy = \frac{1}{C - x^3/3}$\).

To know more about Bernoulli equation visit:

https://brainly.com/question/15396422

#SPJ11

The increase in the minimum wage from $8.10 to $15, indicates that the percentage increase in the minimum wage is 85.\(\overline{185}\)%

A percentage represent the number, amount, proportion or ratio of an item to another (possibly larger) item per hundred (100) units of the comparison or larger item.

Percentages, quantitatively describes the idea of the amount of a substance. It is a measure of the amount or occurrence of an item.

The specified original minimum wage at Ben's Burger = $8.10

The new amount to which the minimum wage is increased = $15

The percentage increase can be obtained using the formula;

\(\% \ increase = \frac{New - Original}{Original} \times 100\)

The percentage increase is therefore; ((15 - 8.10)/8.1) × 100 = 85.\(\overline{185}\) %

Learn more about percentage increase here: https://brainly.com/question/13533684

#SPJ1

Answer:

49/12 or 4 1/12 or 4.083 (all the same answer in different forms)

Step-by-step explanation:

2m-14m+49=0

-12m+49=0

-12m+-49

m=49/12

Answer: m=7

Step-by-step-explanation:

m^2-14m+49=0

(m-7)^2=0

m-7=0

m=7      

The limit does not exist.

In order for such a limit to occur, the fraction \(\frac{x^{2} }{x^{2} +y^{2} }\) must be comparable to the same value \(L\), regardless of the way we take to get there \((0,0)\).

Try approaching \((0,0)\) along the x-axis.

This means setting \(y=0\) and finding the limit \(lim_{x-0} \frac{x^{2} }{x^{2} +y^{2} }\).

We obtain:

\(lim_{x-0,y=0}\frac{x^{2} }{x^{2} +y^{2} } =lim_{y=0}}\frac{x^{2} }{x^{2} +0 }\\=lim_{x-0}} \frac{x^{2} }{x^{2} } \\\\=lim_{x-0}}1\\=1\)

Now evaluate approaching \((0,0)\) along the y-axis.

This means setting \(x=0\) and finding the limit \(lim_{y-0} \frac{x^{2} }{x^{2} +y^{2} }\).

\(lim_{y-0,x-0} \frac{x^{2} }{x^{2} +y^{2} } =lim_{y-0} \frac{0}{0+y^{2} } \\=lim_{y-0} \frac{0}{y^{2} } \\=lim_{y-0} 0\\=0\)

Approaching the origin via these two methods results in distinct limits.

\(lim_{x-0,y-0} \frac{x^{2} }{x^{2} +y^{2} }\) ≠ \(lim_{y-0,x-0}\frac{x^{2} }{x^{2} +y^{2} }\)

Therefore the limit does not exist.

Know more about limits here:

https://brainly.com/question/1521191

#SPJ4

The correct question is given below:

Find the limit, if it exists, or show that the limit does not exist.

\(lim_{(x,y) -(0,0)} \frac{x^{2} }{x^{2} +y^{2} }\)

Answer:

The hypotenuse is 10201

Step-by-step explanation:

20^2+99^2=101^2

400+9801=10201

10201=10201

Answer:

$1.90

Step-by-step explanation:

I think so sry if I'm wrong

boom roasted

Given the equation of the ellipse and thefunction f(x) values as follows. x²/4 + y²/36 = 1; f(x,y) = 5x + yNow, f(x,y) = 5x + yAlso, x²/4 + y²/36 = 1We have to find the maximum and minimum values of f(x,y) under the given conditions.

To find the maximum and minimum values of f(x,y) we need to find the values of x and y by the method of Lagrange's multiplier.Method of Lagrange's Multiplier:Lagrange's multiplier method is a method that helps to find the maximum and minimum values of a function f(x,y) subjected to the constraints g(x,y).Let, f(x,y) = 5x + y and g(x,y) = x²/4 + y²/36 - 1Hence, to maximize or minimize f(x,y), we can writeL(x, y, λ) = f(x,y) + λg(x,y)L(x, y, λ) = 5x + y + λ(x²/4 + y²/36 - 1)Now, we have to find the partial derivatives of L(x,y,λ) with respect to x, y and λ.Lx(x, y, λ) = 5 + λ(x/2) = 0Ly(x, y, λ) = 1 + λ(y/18) = 0Lλ(x, y, λ) = x²/4 + y²/36 - 1 = 0From (1) 5 + λ(x/2) = 0 ⇒ λ = -10/x ⇒ (2)From (2), 1 + λ(y/18) = 0 ⇒ -10/x(y/18) = -1 ⇒ xy = 180 ⇒ (3)From (3), we can substitute the value of y in terms of x in equation (4) to obtain the maximum and minimum values of f(x,y).x²/4 + (180/x)²/36 - 1 = 0⇒ x⁴ + 16x² - 81 × 100 = 0On solving the above equation we get,x = √360(√17 - 1) or x = - √360(√17 + 1)Now, we can use these values of x to obtain the values of y and then substitute the values of x and y in f(x,y) to get the maximum and minimum values of f(x,y).x = √360(√17 - 1) ⇒ y = 6√17 - 36Now, f(x,y) = 5x + y = 5(√360(√17 - 1)) + 6√17 - 36 = 30√17 - 6x = - √360(√17 + 1) ⇒ y = -6√17 - 36Now, f(x,y) = 5x + y = 5(-√360(√17 + 1)) - 6√17 - 36 = -30√17 - 6Hence, the maximum value of f(x,y) is 30√17 - 6 and the minimum value of f(x,y) is -30√17 - 6.

Learn more about function f(x) here:

https://brainly.com/question/28887915

#SPJ11

"a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years.

The 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].According to the central limit theorem , a sampling distribution of the means is usually distributed in a normal distribution, given a big enough sample size, which means that it has a bell-shaped curve. It has a standard deviation that can be estimated by dividing the population standard deviation by the square root of the sample size. Using the formula below,

we can calculate the 95% confidence interval for the population average.= 13.8 ± (1.96 × 7.3 / √45)

= 13.8 ± (1.96 × 1.088)

= 13.8 ± 2.13The limits are calculated by adding and subtracting the calculated value from the sample mean.13.8 + 2.13

= 15.9313.8 - 2.13

= 11.67Therefore, the 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].

To know more about average, visit:

https://brainly.com/question/24057012

#SPJ11

Given:

The equation is

\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}\)

To find:

The solutions of given equation over the interval \([0,2\pi]\).

Solution:

We have,

The equation is

\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}\)

\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\sin \dfrac{\pi }{3}\)

\(\sin\left(x+\dfrac{7\pi}{2}\right)=\sin (-\dfrac{\pi }{3})\)

If \(\sin x=\sin y\), then \(x=n\pi +(-1)^ny\).

Over the interval \([0,2\pi]\).

\(x+\dfrac{7\pi}{2}=4\pi-\dfrac{\pi }{3}\) and \(x+\dfrac{7\pi}{2}=5\pi+\dfrac{\pi }{3}\)

\(x=\dfrac{11\pi }{3}-\dfrac{7\pi}{2}\) and \(x=\dfrac{16\pi}{3}-\dfrac{7\pi}{2}\)

\(x=\dfrac{22\pi-21\pi }{6}\) and \(x=\dfrac{32\pi-21\pi }{6}\)

\(x=\dfrac{\pi}{6}\) and \(x=\dfrac{11\pi }{6}\)

Therefore, the two solutions are tex]x=\dfrac{\pi}{6}\) and \(x=\dfrac{11\pi }{6}\).

Answer:

C. π/6 & 11π/6

Step-by-step explanation:

If you graph the equation ( Sin (x+7π/2)=-√3/2) and look between 0 & 2π, you'll see that the lines intersect the x-axis at π/6 & 11π/6.

Answer:

4

Step-by-step explanation:

18x = 12(x+2)

18x = 12x+24

18x-12x = 24

6x = 24

x = 4

An equivalent DFA can be constructed.

A minimal DFA equivalent to the constructed DFA can be obtained.

A regular expression can be derived using the minimal DFA.

An equivalent grammar represented by the minimal DFA can be provided.

To create an equivalent DFA, we can start with the given language or regular expression and use the subset construction algorithm to convert it into a DFA. This algorithm involves creating states that represent the subsets of the original language's states.

Once the DFA is constructed, we can minimize it using algorithms such as the Hopcroft's algorithm or the Moore's algorithm. These algorithms identify equivalent states and merge them to create a minimal DFA. The resulting DFA will have the fewest number of states possible while still accepting the same language.

Using the minimal DFA, we can derive a regular expression that represents the same language. This can be done by applying the Arden's theorem or by using other techniques such as state elimination or state reduction.

An equivalent grammar can be represented by the minimal DFA by using the DFA to guide the construction of production rules. Each state in the DFA corresponds to a non-terminal symbol in the grammar, and the transitions between states represent the production rules. The start state of the DFA corresponds to the start symbol of the grammar, and the accepting states of the DFA correspond to the terminal symbols or productions that generate the desired language.

By performing these steps, we can establish different representations of the given language, including an equivalent DFA, a minimal DFA, a regular expression, and an equivalent grammar.

Learn more about:Equivalent

brainly.com/question/25197597?

#SPJ11