help pliz Triangles ABC and DEF are similar.
Find the length of segment AC.

Answer:

48cm3

Step-by-step explanation:

Volume of a rectangular box = a.b.c
The volume of the solid figure: (2.2.5) + (7.2.2) = 20 + 28 = 48 cm3

Answer:

4. it would take greater than 31.25 hrs for tims price to be better.

Step-by-step explanation:

The slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.

Surface area (SA) = a² + 2al

Given the following parameters:

Plug in the values into (SA) = a² + 2al:

304 = 8² + 2(8)l

304 = 64 + 16l

304 - 64 = 16l

240 = 16l

240/16 = l

15 = l

l = 16

Therefore, the slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.

Learn more about surface area of a square pyramid on:

https://brainly.com/question/12876583

Answer:

176 ounces (C)

Step-by-step explanation:

if you divide 48 by 3 it will give you 16 and there are 11 pints so u wanna multiply 16 and 11 to 176 ounces..

also i got it right on edge :P

Answer: 176

Step-by-step explanation:

The expression that results from applying the law of indices and expression is 5x^(-7/3).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules.

Here,

The resulted expression will be,

(125x)^(7/3)^(-1/3)

125=5^3

(a^n)^m = a^mn

(5x)^3^7/3^-1/3

(5x)^7*-1/3

5x^(-7/3)

The resulted expression will be 5x^(-7/3) using the law of indices and expression.

To know more about expression,

https://brainly.com/question/28196907

#SPJ4

An example where Mookie betts of the boston red sox had the highest batting average in 2018 with probability of average batts is 0.364 for each is a binomial Probability example.

In the statistics, the concept of probability is handy in figuring out the likelihood a particular outcome would occur for an event or decision. On the basis of probability, one can figure out other related probabilities like the probability of not having that particular outcome or the probability of having only that outcome every time. There is Mookie betts of the boston red sox had the highest batting average in league baseball season.

The average probability = 0.364 for each time of bats.

That is Probability of hitting or success, p = 0.364

Number of trials, n = 7

That is Probability distribution is written as \(X \: \tilde \: \: Binom( n,p) \).

After reading all seniror, the probability for seven seven times at bat tonight in the red sox-yankee game is an example of binomial Probability.

For more information about binomial probability, visit:

https://brainly.com/question/15278907

#SPJ4

The company spends $649 on advertising

The sales function after advertising is given as:

\(S(x) = 5 + 7\ln(x + 1)\)

When the total sales is $19,100, we have S(x) = 19100

So, the sales function becomes

\(5 + 7\ln(x + 1) = 19.1\)

Subtract 5 from both sides

\(7\ln(x + 1) = 14.1\)

Divide both sides by 7

\(\ln(x + 1) = 2.014\)

Take exponents of both sides

\(x + 1 = e^{2.014\)

\(x + 1 = 7.49\)

Subtract 1 from both sides

\(x= 6.49\)

Hence, the company spends $649 on advertising

Read more about functions at:

https://brainly.com/question/12940982

The equation of the tangent to the curve at the given point. x = 7 sin(t), y = t2 t, (0, 0) is y = 0, To find the equation of the tangent to the curve at the given point (0, 0), we first need to find the derivative of x and y with respect to t, and then find the slope of the tangent at the given point.

Given: x = 7sin(t), y = t^2

Find dx/dt and dy/dt:
dx/dt = 7cos(t)
dy/dt = 2t

Now, find the slope of the tangent at the point (0, 0) by dividing dy/dt by dx/dt:

Slope = (dy/dt) / (dx/dt) = (2t) / (7cos(t))

At t = 0, the slope is:
Slope = (2*0) / (7cos(0)) = 0 / 7 = 0

Now we use the point-slope form of the equation to find the equation of the tangent line:

y - y1 = slope * (x - x1)

Since the point is (0, 0) and the slope is 0, the equation becomes:

y - 0 = 0 * (x - 0)

Simplifying, we get the equation of the tangent line as:

y = 0

Learn more about slope here:

brainly.com/question/19131126

#SPJ11

tan(2A) + sin(2A) = sin(2A)/cos(2A) + sin(2A)

• rewrite tan = sin/cos

… = 1/cos(2A) (sin(2A) + sin(2A) cos(2A))

• expand the functions of 2A using the double angle identities

… = 2/(2 cos²(A) - 1) (sin(A) cos(A) + sin(A) cos(A) (cos²(A) - sin²(A)))

• factor out sin(A) cos(A)

… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (1 + cos²(A) - sin²(A))

• simplify the last factor using the Pythagorean identity, 1 - sin²(A) = cos²(A)

… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (2 cos²(A))

• rearrange terms in the product

… = 2 sin(A) cos(A) (2 cos²(A))/(2 cos²(A) - 1)

• combine the factors of 2 in the numerator to get 4, and divide through the rightmost product by cos²(A)

… = 4 sin(A) cos(A) / (2 - 1/cos²(A))

• rewrite cos = 1/sec, i.e. sec = 1/cos

… = 4 sin(A) cos(A) / (2 - sec²(A))

• divide through again by cos²(A)

… = (4 sin(A)/cos(A)) / (2/cos²(A) - sec²(A)/cos²(A))

• rewrite sin/cos = tan and 1/cos = sec

… = 4 tan(A) / (2 sec²(A) - sec⁴(A))

• factor out sec²(A) in the denominator

… = 4 tan(A) / (sec²(A) (2 - sec²(A)))

• rewrite using the Pythagorean identity, sec²(A) = 1 + tan²(A)

… = 4 tan(A) / ((1 + tan²(A)) (2 - (1 + tan²(A))))

• simplify

… = 4 tan(A) / ((1 + tan²(A)) (1 - tan²(A)))

• condense the denominator as the difference of squares

… = 4 tan(A) / (1 - tan⁴(A))

(Note that some of these steps are optional or can be done simultaneously)

The roots of the given equation are -0.86603,-0.86603, -0.872, -0.8668 and 2 complex roots

Given system has the characteristics equation: \($S^{6}+4 S^{5}+7 S^{4}+16 S^{3}+15 S^{2}+12 S+9=0$\)

To examine the stability of the given system by using Routh's criterion, the coefficients of the equation are arranged in a table as follows:

\($$ \begin{array}{c} {S^{6}} \\ {S^{5}} \\ {S^{4}} \\ {S^{3}} \\ {S^{2}} \\ {S^{1}} \\ {S^{0}} \\ \end{array}\begin{array}{c|c|c} {1} & {7} & {15} \\ {4} & {16} & {12} \\ {c_{1}} & {c_{2}} & {9} \\ {\frac{16 c_{1}-4 c_{2}}{c_{1}}} & {\frac{12 c_{1}-9}{c_{1}}} & {} \\ {\frac{9\left(12 c_{1}-9\right)-\left(16 c_{1}-4 c_{2}\right)(c_{2})}{9\left(12 c_{1}-9\right)}} & {} & {} \\ \end{array} $$\)

For the given equation,

\($$S^{6}+4 S^{5}+7 S^{4}+16 S^{3}+15 S^{2}+12 S+9=0$$\\We have\\$c_1$=4, $c_2$=16\)

Therefore,

\($$ \begin{array}{c} {S^{6}} \\ {S^{5}} \\ {S^{4}} \\ {S^{3}} \\ {S^{2}} \\ {S^{1}} \\ {S^{0}} \\ \end{array}\begin{array}{c|c|c} {1} & {7} & {15} \\ {4} & {16} & {12} \\ {4} & {16} & {9} \\ {17} & {3/2} & {} \\ {-\frac{857}{576}} & {} & {} \\ \end{array} $$\)

From the table, the number of sign changes in the first column is 2 and the number of sign changes in the second column is 1.

Hence, the system is stable and has all its poles in the left half of the s-plane.The roots of the given equation can be obtained by using the Newton Raphson Method.

The initial guess is assumed to be -1.

\($$ \begin{array}{c} {S^{6}} \\ {S^{5}} \\ {S^{4}} \\ {S^{3}} \\ {S^{2}} \\ {S^{1}} \\ {S^{0}} \\ \end{array}\begin{array}{c|c|c} {1} & {7} & {15} \\ {4} & {16} & {12} \\ {4} & {16} & {9} \\ {17} & {3/2} & {} \\ {-\frac{857}{576}} & {} & {} \\ {-0.872} & {} & {} \\ {-0.8668} & {} & {} \\ {-0.86603} & {} & {} \\ {-0.86603} & {} & {} \\ \end{array} $$\)

Therefore, the roots of the given equation are -0.86603,-0.86603, -0.872, -0.8668 and 2 complex roots.

Know more about Routh's criterion,:

https://brainly.com/question/33183933

#SPJ11

Answer:

n = -2

Step-by-step explanation:

Dame lo más inteligente

( give me brainllest)

The 95% confidence interval for average amount its credit card customers spent is $39.424, $61.576.

How to calculate the confidence interval?

Confidence interval is the mean or average of the estimate value minus or plus the variation in the same estimate value.

n = 15

μ = $50.50

σ = \(\sqrt{400}\) = 20

α = 1 - 95% = 0.05

df = n - 1 = 15 - 1 = 14

Since, there are only 15 samples in the question. we will use t-distribution,

Confidence interval = CI = μ ± \(t_{df,\alpha }\)\(\frac{\sigma}{\sqrt{n}}\)

= 50.50 ± \(t_{14,0.05}\)\(\frac{20}{\sqrt{15}}\)

= 50.50 ± (2.145)(5.164)

= 50.50 ± 11.076

= (39.424, 61.576)

Thus, the 95% confidence interval for average amount its credit card customers spent is $39.424, $61.576.

Learn more about confidence interval here:

brainly.com/question/24131141

#SPJ4

Answer:

Blockof silver's wieghing = 8 ounces

total rate = $104

therefore, one ounce=$104/8= $13

Answer:

0.1d + 0.25q = 50

Step-by-step explanation:

dimes are worth 10 cents so it's 0.1 and d represents the unknown amount

quarters are worth 25 cents so it's 0.25 and q represents the unknown amount

Answer:

It's A

Step-by-step explanation:

From the given numbers, the greatest number is 23 × 10^126

The first number = 23 × 10^126

The second number = 23 × 10^86

The third number = 23 × 10^66

The fourth number = 23 × 10^3

The scientific notation is defined as the easiest method to represents the very smallest or the largest number. The scientific notation consist of a whole number multiplied by the power of ten

Here, the whole number is same in all cases, only the power of the 10 is different . To find the largest number we have to find the number with largest power of 10

The number with largest power of 10 = 23 × 10^126

Hence, the greatest number is 23 × 10^126

Learn more about scientific notation here

brainly.com/question/18073768

#SPJ4

Answer:

(x + 1)/4x² + 4(x + 1)/4x²

Step-by-step explanation:

x+1/4x² + x+1/x²

The above can be simply as follow:

Find the least common multiple (LCM) of 4x² and x². The result is 4x²

Now Divide the LCM by the denominator of each term and multiply the result with the numerator as show below:

(4x² ÷ 4x²) × (x + 1) = x + 1

(4x² ÷ x²) × (x + 1) = 4(x + 1)

x+1/4x² + x+1/x² = [(x + 1) + 4(x + 1)]/ 4x²

= (x + 1)/4x² + 4(x + 1)/4x²

Therefore,

x+1/4x² + x+1/x² = (x + 1)/4x² + 4(x + 1)/4x²

Answer: A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I did this by graphing the points on paper and then forming an equation from there. Another way is to do to slope equation. The slope equation is: \(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\), so you would just fill it in here. (4+4) (I did PLUS since subtracting a negative is adding a postive number). This equals 8. (0-2) is -2, so 8/-2 is -4x. For the y-intercept, it is already shown in the equation. This is 4 because if x is 0, then that is the y-intercept. So: y=-4x+4.

The standard deviation of the sampling distribution is called the standard error of the mean, not the median. The standard error of the median is a different measure that is used to estimate the variability of the median of a sample.

When we take a sample from a population, the values of the sample statistics, such as the mean, median, standard deviation, etc., will vary from sample to sample. The distribution of the sample statistics is called the sampling distribution.

The standard deviation of the sampling distribution of the mean is called the standard error of the mean. It is a measure of the variability of the sample means from sample to sample.

To know more about standard deviation,

https://brainly.com/question/23907081

#SPJ11

First you calculate the area of the square, which is 82=64, then you calculate the area of a circle using the formula r2, which gives you 201.06;

you then divide this number by four because you only need the quarter, giving you 50.26. The two regions are added together in the final step, yielding the result

64+50.26=114.2.

All of those points are equally distant from a single point known as the circle's centre, and a circle is a geometric object that follows their paths.

The formula for a quarter circle's area using radius

The area of a circle, A, is equal to r2 if its radius is r.

The size of a quarter circle is then equal to times of A

= ¼ × πr2 = πr2/4

\(114.2cm^{2}\)

Learn more about calculate here:

https://brainly.com/question/30151794

#SPJ1

Answer:

\(\huge\boxed{x^3-y^3=508}\)

Step-by-step explanation:

\(\underline{+\left\{\begin{array}{ccc}x+y=10\\x-y=6\end{array}\right}\qquad|\text{add the sides of the equations}\\.\qquad2x=16\qquad|\text{divide both sides by 2}\\.\qquad\boxed{x=8}\\\\\text{Substitute it to the first equation}\\8+y=10\qquad|\text{subtract 8 from both sides}\\\boxed{y=2}\\\\x^3-y^3=8^3-2^3=512-8=504\)

Answer:

\(x^{2} +2y^{2} +8xy\)

Step-by-step explanation:

\(6x^{2} -4xy + 2y^{2} -5x^{2} +2xy+10xy\)

Okay, so of course you need to add like terms. But where should you start? Well, \(6x^{2}\) and \(-5x^{2}\) are both like terms, so lets add them first.

\(6x^{2} -5x^{2} = x^{2}\)

Also, \(-4xy\), \(2xy\), and \(10xy\) are like terms, so we can add them together too.

\(-4xy + 2xy +10xy = 8xy\)

There isn't anymore like terms, so now we need to put it in simplest form.

\(x^{2} +2y^{2} +8xy\)

Hope this helps! I actually think 2y^2 is before x^2 in the answer, but unless you need it in simplest form it shouldn't matter. Review with your teacher before turning in if you can. :))

The sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.

To determine whether the sequence {an} = {\(8n^4 + n + 1\)} is convergent, we need to examine the behavior of the terms as n approaches infinity.

The sequence {an} is said to be convergent if there exists a real number L such that the terms of the sequence get arbitrarily close to L as n approaches infinity.

To investigate convergence, we can calculate the limit of the sequence as n approaches infinity.

lim(n→∞) \((8n^4 + n + 1)\)

To evaluate this limit, we can look at the highest power of n in the sequence, which is \(n^4.\) As n approaches infinity, the other terms (n and 1) become insignificant compared to n^4.

Taking the limit as n approaches infinity:

lim(n→∞) \(8n^4 + n + 1\)

= lim(n→∞) \(8n^4\)

Here, we can clearly see that the limit goes to infinity as n approaches infinity.

Therefore, the sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.

To learn more about limit of the sequence visit:

brainly.com/question/30647793

#SPJ11

Answer:

h = 16°

Step-by-step explanation:

The total angle of a straight line = 180°.

So we can say that 151° + x = 180°

180° - 151° = x

x = 29°

total angles of a triangle = 180°

∴ 118 + 29 + 2h + 1 = 180

⇒ 148° + 2h = 180°

⇒ 2h = 180° - 148°

⇒2h = 32°

⇒h = 32° ÷ 2

⇒ h = 16°

Therefore, the correct option is C. 2 times the volume of the sphere.

The volume of the foam can be determined by subtracting the volume of the hollow sphere from the volume of the cube.

Let's denote the radius of the sphere as "r" and the side length of the cube as "s". Since the sphere touches each side of the cube, its diameter is equal to the side length of the cube, which means the radius of the sphere is half the side length of the cube (r = s/2).

The volume of the sphere is given by V_sphere = (4/3)πr^3.

Substituting r = s/2, we have V_sphere = (4/3)π(s/2)^3 = (1/6)πs^3.

The volume of the cube is given by V_cube = s^3.

The volume of the foam is the volume of the cube minus the volume of the hollow sphere:

V_foam = V_cube - V_sphere

= s^3 - (1/6)πs^3

= (6/6)s^3 - (1/6)πs^3

= (5/6)πs^3.

Comparing this with the volume of the sphere (V_sphere), we see that the volume of the foam is 5/6 times the volume of the sphere.

To know more about volume,

https://brainly.com/question/29120245

#SPJ11

Answer:

2 hours

Step-by-step explanation:

Let x be the time, in hours, for which the cost of Rollaround and Spinaround are the same.

Rollaround Cost (Cr):    Cr = $5 + $3x

Spinaround Cost (Cs):  Cs = $8 + $1.50x

We want to find the value of x that makes Cr = Cs

Cr = Cs

$5 + $3x = $8 + $1.50x

$1.50x = $3

x = 2 hours

====

CHECK:

Cr = $5+$3(2) = $11

Cs = $8+$1.50(2) = $11

At 2 hours, both cost the same.

Answer:

A= 10 b= 6

Step-by-step explanation:

just got it right on edge2020

To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.



To find the equation of a line parallel or perpendicular to a given line through a specific point, follow these steps:

1. Determine the slope of the given line. If the given line is in the form y = mx + b, the slope (m) will be the coefficient of x.

2. Parallel Line: A parallel line will have the same slope as the given line. Using the slope-intercept form (y = mx + b), substitute the slope and the coordinates of the given point into the equation to find the new y-intercept (b). This will give you the equation of the parallel line.

3. Perpendicular Line: A perpendicular line will have a slope that is the negative reciprocal of the given line's slope. Calculate the negative reciprocal of the given slope, and again use the slope-intercept form to substitute the new slope and the coordinates of the given point. Solve for the new y-intercept (b) to obtain the equation of the perpendicular line.

Remember that the final equations will be in the form y = mx + b, where m is the slope and b is the y-intercept.Therefore, To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.

To learn more about intercept click here

brainly.com/question/29142047

#SPJ11