a shape has a volume of approximately 133 cubic units which of the following is the best represent the radius of the sphere

Answer:

x=180-125

=55

z=55

y=180-(55+55)

y=70

Let's start by defining some variables:

Let's call "P" the number of phones sold.

Let's call "A" the number of accessories sold.

From the problem, we know that:

Kylie earns a $15 commission for every phone she sells, so the commission she earns from selling phones is 15P.

Kylie earns a $2 commission for every accessory she sells, so the commission she earns from selling accessories is 2A.

Kylie made a total of $352 in commission, so we can write the equation:

15P + 2A = 352

We also know that Kylie sold 6 more accessories than phones, so we can write:

A = P + 6

Now we can substitute the second equation into the first equation and solve for P: 15P + 2(P + 6) = 352

15P + 2P + 12 = 352

17P = 340

P = 20

So Kylie sold 20 phones. We can use the second equation to find the number of accessories sold:

A = P + 6

A = 20 + 6

A = 26

Answer:

20 phones 26 accessories

Step-by-step explanation:

300÷15=20

52÷2=26

The percentage of the students who did not go on the trip will be 40%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that a school has 120 students. On Friday, 72 students went on a field trip.

The number of the students who did not go to the trip are:-

N = 120 - 72 = 48

The percentage will be calculated as:-

Percentage  = 48 / 120

Percentage = 0.4 x 100

Percentage = 40%

Therefore, the total of 40% of the students will not have attended the trip.

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a) The set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.

To find the set of values of k for which the line and curve meet at two distinct points, we need to solve the equation:

x^2 - kx + 2 = 3kx - 2k

Rearranging, we get:

x^2 - (3k + k)x + 2k + 2 = 0

For the line and curve to meet at two distinct points, this equation must have two distinct real roots. This means that the discriminant of the quadratic equation must be greater than zero:

(3k + k)^2 - 4(2k + 2) > 0

Simplifying, we get:

5k^2 - 8k - 8 > 0

Using the quadratic formula, we can find the roots of this inequality:

\(k < (-(-8) - \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = -2/5\\ or\\ k > (-(-8)) + \sqrt{((-8)^2 - 4(5)(-8)))} / (2(5)) = 2\)

Therefore, the set of values of k for which the line and curve meet at two distinct points is k < -2/5 or k > 2.

b) To find the two values of k for which the line is a tangent to the curve, we need to find the values of k for which the line is parallel to the tangent to the curve at the point of intersection. For m to be the slope of the tangent at the point of intersection, we need to have:

2x - 4 = m

3k = m

Substituting the first equation into the second, we get:

3k = 2x - 4

Solving for x, we get:

x = (3/2)k + (2/3)

Substituting this value of x into the equation of the curve, we get:

y = ((3/2)k + (2/3))^2 - k((3/2)k + (2/3)) + 2

Simplifying, we get:

y = (9/4)k^2 + (8/9) - (5/3)k

For this equation to have a double root, the discriminant must be zero:

(-5/3)^2 - 4(9/4)(8/9) = 0

Simplifying, we get:

25/9 - 8/3 = 0

Therefore, the constant term is 8/3. Solving for k, we get:

(9/4)k^2 - (5/3)k + 8/3 = 0

Using the quadratic formula, we get:

\(k = (-(-5/3) ± \sqrt{((-5/3)^2 - 4(9/4)(8/3)))} / (2(9/4)) = -1/3 \\or \\k= 4/3\)

Therefore, the two values of k for which the line is a tangent to the curve are k = -1/3 and k = 4/3. To show that the two tangents meet on the x-axis, we can find the x-coordinate of the point of intersection:

For k = -1/3, the x-coordinate is x = (3/2)(-1/3) + (2/3) = 1

For k = 4/3, the x-coordinate is x = (3/2)(4/3) + (2/3) = 3

Therefore, the two tangents meet on the x-axis at x = 2.

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Answer:

1. 68

2. Net gain of 6 yards

3. 7684 ft

Step-by-step explanation:

1.

Walmart’s stock price started at $70. It went up by $2, then went down $4

Final stock = \(70+2-4=68\)

2.

A football team gains 5 yards, then loses 2 yards, then gain another 6 yards, then loses 3 yards

Here,

\(5-2+6-3=6\)

So, net gain of 6 yards

3.

Difference in elevation of Mt. Blum at 7,677 feet above sea level and New Orleans at −7 ft  below sea level = \(7677-(-7)=7677+7=7684\,\,ft\)

Answer:

The cost would be $7,087.50

Step-by-step explanation:

Area = l×w

15×21= 315 ft^2

315×22.50= 7087.5

Answser its c        the expressions are no equivalent even though ella got the same result when she substituded zero for f

Step-by-step explanation:

this is correct for egenuity october 2020 d is wrong

Answer:

its C

Step-by-step explanation:

The first statement is given, the second statement is true because they are vertically opposite angles and the third statement is true by SAS congruency of triangles.

What is congruence of triangles?

Two triangles that are congruent will have precisely the same three sides and three angles.

The dimensions of the triangles' sides and angles determine whether two or more triangles are congruent. A triangle's size is determined by its three sides, and its shape by its three angles. Pairs of corresponding sides and corresponding angles in two triangles are said to be equal if they are congruent. They share a similar size and shape. In triangles, there are numerous congruence conditions.

The first statement is true because this is already given in the question.

The second statement is true because ∠KLJ and ∠MLN are vertically opposite angles and we know that vertically opposite angles are always equal. Therefore, the second statement is true.

The third statement is true because of the SAS congruency of triangles.

As we are given ratio of two sides equal to ratio of corresponding sides and the angle between the sides to be equal.

Hence, the two triangles are congruent.

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To find the critical value for testing the owner's hypothesis about the median number of newspapers sold per day, we need to perform a hypothesis test using the sign test.

The sign test is a non-parametric test used to compare medians. In this case, we are testing whether the median number of newspapers sold per day is equal to 67. Since we have a sample size of 20, we need to find the critical value associated with the binomial distribution for n = 20 and a significance level of α = 0.05.

To find the critical value, we use the binomial distribution and the cumulative distribution function (CDF). The critical value is the largest value k for which P(X ≤ k) ≤ α.

Using a statistical table or software, we find that P(X ≤ 3) = 0.047 and P(X ≤ 4) = 0.088. Since P(X ≤ 3) is less than α = 0.05, but P(X ≤ 4) is greater than α = 0.05, the critical value is 3.

Therefore, the correct answer is A) 4, which represents the number of days with a median number of newspapers sold less than or equal to 67.

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Based on the provided information, the individual has chosen Alaska and Delaware from their first name, and Montana and Iowa from their last name as potential states to compare to Massachusetts.

The objective is to compare these states to Massachusetts and determine if there is a better place to live.

To compare the chosen states to Massachusetts, several factors can be considered such as cost of living, job opportunities, quality of education, healthcare, climate, recreational activities, and cultural attractions. It would be beneficial to gather data on these factors for each state and compare them to Massachusetts.

For example, the individual could compare the cost of living index, median household income, unemployment rate, and educational opportunities in Alaska, Delaware, Montana, and Iowa with those of Massachusetts. They could also examine the climate and outdoor recreational activities available in each state.

Additionally, the individual can research the healthcare systems, cultural diversity, and community amenities in each state to evaluate the overall quality of life.

By analyzing these factors and comparing them to Massachusetts, the individual can determine if any of the chosen states offers better opportunities and a higher quality of life. It is important to consider personal preferences and priorities when making such a decision.

Ultimately, through thorough research and evaluation of various factors, the individual can make an informed decision about whether there is a better place to live than Massachusetts among the selected states.

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Answer:

\(\displaystyle \sqrt{34}\:units ≈ 5,8\:units\)

Step-by-step explanation:

No matter what happens to the shape, except for dilation, the sise will be the same, so just insert the lengths of the altitude and base into the formula, no matter if it is point D or B because of the Reflexive Property:

\(\displaystyle a^2 + b^2 = c^2 \\ \\ 3^2 + 5^2 = c^2 → 9 + 25 = c^2 → 34 = c^2 \\ \\ \sqrt{34} = \sqrt{c^2} \\ \\ 5,830951895 ≈ c → 5,8 ≈ c\)

I am joyous to assist you at any time.

Answer:

All you have to do is add exponents when multiplying like monomials. So it's just 4^2

i hope this helps<3 :)

Answer:

4^7 x 4^-5

4^(7-5)

4^2

16

The sum of money that can be divided between two parts = Rs 200

Adding three times the smaller part to half of the larger part then its will always be less than Rs 200

Let The smaller part = Rs S

The larger part = Rs L

The sum of parts = Rs 200

Larger + Smaller = Rs 200

L+S=200---------------(1)

And, Adding three times the smaller part to half of the larger part then the result will always be less than Rs 200

(3S+1/2× L)-200 = 0

3S+ L/2=200                    

6S+L=400 --------(2)

Solving eq 1 and eq 2

(6S+L)-(L+S)=400 - 200

(6S-S )+(L-L )=200

5S+0=200

S = 200/4

∴Smaller = S=Rs40

Now, Plug the value of S into eq 1

L+S = Rs 200

L+40 = Rs 200

L = 200 - 40

L = Rs 160

Larger = L= Rs160

Hence, the larger part is Rs 160 and the smaller part is Rs 40      

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Answer: Online

Step-by-step explanation:

Find the unit price

(multiply 12.51 and 20.70 by 100 to make it easier to divide)

12.51 divided by 3 = 417

20.70 divided by 5 = 414

Hope this helps!

Given equation g = x-1/k in terms of x would be x = 1 + gk

for given question,

we have been given an equation g = x-1/k

Dyani began solving the equation g = x-1/k for x by using the addition property of equality.

We solve given equation for x.

⇒ g = x-1/k                      ..........(Given)

⇒ gk = (x - 1/k)k               .........(Multiply both the sides by k)

⇒ gk = x - 1

⇒ gk + 1 = x - 1 + 1           .........(Add 1 to each side)

⇒ gk + 1 = x

⇒ x = 1 + gk

Therefore, given equation g = x-1/k in terms of x would be x = 1 + gk

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Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

Two Angle whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

If ∠ 8 is supplementary to ∠ 9, then line x and y must be parallel lines wheres line s is the transverse line.

∠ 7 = ∠ 4.

Now, ∠ 7 = ∠ 2 and ∠ 4 = ∠ 9.

So, ∠ 2 = ∠ 3 {supplementary angles}

Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

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Answer:

KJ = 40

Step-by-step explanation:

Usinh the similarity factor, LJ is similar with PR and QR is similar to KJ

and the similarity ratio is 56/42 = 4/3

which means KJ/30 = 4/3 cross multiply expressions

KJ = 40

The graph of f(x) consists of four line segments that can be represented by four equations, each describing a different section of the graph. Let's call these equations f1(x), f2(x), f3(x), and f4(x). To find g(x), we need to integrate f(t) with respect to t from some lower limit a to x, where a is the left endpoint of the interval on which f(x) is defined.

For example, suppose that f(x) is defined on the interval [0, 4] and is given by the following equations:

f1(x) = 0 for 0 ≤ x < 1
f2(x) = 2x - 2 for 1 ≤ x < 2
f3(x) = -2x + 6 for 2 ≤ x < 3
f4(x) = 0 for 3 ≤ x ≤ 4

Then, g(x) = x - 4f(t)dt for a = 0 and x between 0 and 4. We can break this integral into four parts corresponding to each of the line segments in f(x). For example, to find the first part of g(x), we integrate f1(t) from 0 to x:

g1(x) = x - 4(∫₀ˣ 0 dt) = x

Similarly, we can find the other parts of g(x) by integrating the corresponding line segments:

g2(x) = x - 4(∫₁ˣ (2t - 2) dt) = x² - 8x + 12
g3(x) = x - 4(∫₂ˣ (-2t + 6) dt) = -x² + 10x - 20
g4(x) = x - 4(∫₃ˣ 0 dt) = x

So, the function g(x) is a piecewise-defined function consisting of four different quadratic equations. It requires breaking down the problem into different parts, describing the equations for each section of the graph, and then finding the integral for each part to determine the function g(x).

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so you write 16 but i don't speak English very good i want help you 2(6+3)-2 ok you you going multiplying 2×6=12+6=18-2=16 so 16

Answer:

D: 7c + 9t

Step-by-step explanation:

I assume c = car and t = truck

Since it costs 7 dollards PER car and 9 dollars PER truck, you would use 7c+9c as the equation.

Answer:

soooo u do dis and dat and OPE lookit the time

Dum Step-by-step explanation:

looks like its time to act dum ayy friend me. im givin out free points every weekday. if its friday, i do it every hour, called free point friday. check me out.

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. Hence:

Rate of the machine = 3 pounds / 20 seconds = 0.15 pound per second

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

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The Random Variable that should be considered continuous is "The time it takes for a randomly chosen athlete to run 200 meters" , the correct option is (c) .

In the question ,

four random variables are given , we have to select the random variable that is continuous .

A Continuous Random Variable is a random variable X , which can take any value in its domain or in an interval or the union of intervals on the real line is called Continuous random variable .

For Example : weight of middle aged people lying between 40 Kg and 150 Kg .

From the given options ,

the option (c) , the time taken for a randomly chosen athlete to run 200 meters is a interval of time ,

So ,it is can be called as Continuous Random Variable .

Therefore , the option that represents Continuous Random Variable is option(c) .

The given question is incomplete , the complete question is

Which of the following random variables should be considered continuous ? Select one:

(a) The number of cars owned by a randomly chosen adult male

(b) The number of orders received by a mail-order company in a randomly chosen week

(c) The time it takes for a randomly chosen athlete to run 200 meters  

(d) The numbers of brothers a randomly chosen person has .

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The Electron Geometry Chart is a visual representation of the arrangement of electrons in a molecule. It is used to predict the molecular shape and the bond angles of a molecule based on its electron-group geometry.

Electron geometry is a term used to describe the arrangement of electron groups around a central atom in a molecule. This arrangement is important in determining the molecular shape and the bond angles of the molecule, which can affect its physical and chemical properties.

The Electron Geometry Chart provides a simple and visual way of understanding the arrangement of electrons in a molecule. It shows the number of electron groups surrounding a central atom and the shape that they form.

The chart also shows the bond angles between the electron groups and the central atom, which can be used to predict the molecular shape of the molecule.

The value of the Electron Geometry Chart lies in its ability to help students and scientists understand the relationship between the electron arrangement in a molecule and its molecular shape and bond angles.

By using the chart, students can develop a deeper understanding of molecular geometry and its impact on the physical and chemical properties of a molecule.

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Answer:

126

Step-by-step explanation:

Hello,

If the question is simplify then

we suppose x not equal to 5 and x not equal to -5

\(\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\=\dfrac{(x-5)^2}{(x-5)(x+5)} \\\\=\dfrac{x-5}{x+5} \\\\\)

else

if the question is to find the euclidian 's quotient then

\(\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\= 1 + \dfrac{-10x+30}{x^2-25} \\\\=1-\frac{10}{x+5} \\\)

euclian's quotient is 1

remainder is -10/(x+5)

Out of the 20,000 athletes, 788 can be expected to test positive for drugs during the Olympics.

During the Olympics, all athletes must pass a mandatory drug test administered by the International Olympic Committee before they are permitted to compete. Assuming a 1% drug use rate among 20,000 athletes, we can expect about 200 athletes to actually use drugs (1% of 20,000). With a 97% accurate drug test, 3% of the test results will be inaccurate.
Out of the 200 athletes using drugs, 97% will test positive, which equals 194 athletes (0.97 * 200). However, there are also 19,800 athletes not using drugs (20,000 - 200). Out of these, 3% will falsely test positive, which equals 594 athletes (0.03 * 19,800).
Therefore, approximately 788 athletes (194 + 594) can be expected to test positive for drugs during the Olympics.

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approximately probability is 194 athletes can be expected to test positive for drugs out of a total of 20,000 athletes.

What is Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability was introduced in mathematics to predict how likely events are to occur.

To determine the approximate number of athletes expected to test positive for drugs out of a total of 20,000 athletes, we can calculate it based on the given accuracy rate of the drug test and the rate of drug use among athletes.

The rate of drug use among athletes is given as 1 athlete per 100, which can also be expressed as a probability of 1/100 or 0.01. This means that the probability of an athlete using drugs is 0.01.

The accuracy rate of the drug test is stated as 97%, which can be expressed as a probability of 0.97. This means that the probability of a drug test correctly identifying an athlete who is using drugs is 0.97

Now, we can calculate the expected number of athletes who will test positive for drugs using these probabilities.

Expected number of athletes testing positive = Total number of athletes * Probability of drug use * Probability of accurate drug test result

Expected number of athletes testing positive = 20,000 * 0.01 * 0.97

Expected number of athletes testing positive = 200 * 0.97

Expected number of athletes testing positive ≈ 194

Therefore, approximately probability is 194 athletes can be expected to test positive for drugs out of a total of 20,000 athletes.

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Answer:

1 metro hace 100 cm

Step-by-step explanation:

100* 10^-2m