Enter the unknown value that makes this statement true:
100% of ____ is 50.

Answer:

Please check the explanation.

Step-by-step explanation:

As the given graph includes distance 'd' at the y-axis and time 't' at the x-axis.

so from the distance-time graph, it is clear that the graph includes 5 chunks.

The first chunk of the graph indicates that the object has started traveling. And the distance 'd' is being covered in time 't', as the slope is upward, hence the speed of the object is increasing.

The second chunk of the graph indicates the no distance is being covered. It means the object is at rest.

The third chunk of the graph indicates that the distance 'd' is being covered in time 't', as the slope is again upward, hence the speed of the object is increasing and the object has started traveling.

The fourth chunk of the graph indicates that the slope is downward, and the object has started traveling to get back to the destination, and eventually, the object has reached the starting point.

Answer:B

Step-by-step explanation:

The explicit formula for the sequence is \(a_n = 125 \times (\frac{1}{5})^{n-1}\).

A geometric sequence is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed constant. This fixed constant is called the common ratio and is denoted by the letter r.

\(\mathrm{ \large{a_n }= a_1 \times r^{n-1} }\)

where aₙ is the nth term of the sequence, a₁ is the first term of the sequence, r is the common ratio, and n is the position of the term in the sequence.

The common ratio of a geometric sequence determines how quickly the terms increase or decrease. If the common ratio is greater than 1, the terms will increase exponentially. If the common ratio is between 0 and 1, the terms will decrease exponentially. If the common ratio is negative, the terms will alternate between positive and negative values.

The sum of a finite geometric sequence can be calculated using the formula:

\($\mathrm{S_n = a_1 \times \frac{1-r^n}{1-r}}\)

Geometric sequences have applications in many areas of mathematics and science, including finance, physics, and computer science. They are used to model exponential growth and decay, as well as to analyze patterns in data and algorithms.

The given sequence is a geometric sequence with a common ratio of 1/5. The first term is 125.

The explicit formula for a geometric sequence is given by:

\(\mathrm{ \large{a_n }= a_1 \times r^{n-1} }\)

where a₁ is the first term and r is the common ratio.

Substituting the given values, we get:

\(a_n = 125 \times (\frac{1}{5})^{n-1}\)

Hence, the explicit formula for the sequence is  \(a_n = 125 \times (\frac{1}{5})^{n-1}\).

To know more about sequence visit:

brainly.com/question/28615767

#SPJ1

Answer:

the answer is -3

Step-by-step explanation:

1. add the -4 to 10 (-10 + 4)

2. -6= 2a

3. divide both sides by 2

4. -3= a

hope this helps

Therefore, based on the obtained z statistic of -1.99 and an alpha level of 0.05, the researcher should reject the null hypothesis.

To determine the decision based on the obtained z statistic and alpha level, we compare the z statistic with the critical values.

Since it is a two-tailed test, we need to divide the alpha level by 2 to allocate equal portions in both tails. Thus, for an alpha level of 0.05, each tail has an alpha of 0.025.

Looking up the critical value corresponding to an alpha of 0.025 in a standard normal distribution table, we find that the critical value is approximately ±1.96.

Comparing the obtained z statistic of -1.99 with the critical values, we can make the following decision:

Since -1.99 falls outside the range of -1.96 to +1.96, we reject the null hypothesis.

To know more about null hypothesis,

https://brainly.com/question/32071570

#SPJ11

Answer:

15. x = 4

16. x = 7

Step-by-step explanation:

15.

CD/ ED = DG / DF

48 / (5x - 2) = 40 / (2x + 7)

48 (2x + 7) = 40 (5x - 2)

96x + 336 = 200x - 80

200x - 96x = 336 + 80

104x = 416

x = 4

16.

ST / PL = TU / LM

(x + 1) / 72 = (2x - 3) / 99

99 (x + 1) = 72 (2x - 3)

99x + 99 = 144x - 216

144x - 99x = 99 + 216

45x = 315

x = 7

Answer:

15.  x = 4

16.  x = 7

Step-by-step explanation:

Similar Triangles

In similar triangles, corresponding sides are always in the same ratio.

If ΔCDG ~ ΔEDF then:

From inspection of the given diagram:

Therefore:

\(\implies \sf CD : ED = DG : DF\)

\(\implies 48 : (5x-2) = 40 : (2x+7)\)

\(\implies \dfrac{48}{(5x-2)} = \dfrac{40}{(2x+7)}\)

\(\implies 48(2x+7)=40(5x-2)\)

\(\implies 96x+336=200x-80\)

\(\implies 416=104x\)

\(\implies x=\dfrac{416}{104}\)

\(\implies x=4\)

If ΔSTU ~ ΔPLM then:

From inspection of the given diagram:

Therefore:

\(\implies \sf ST : PL = TU : LM\)

\(\implies (x+1) : 72 = (2x-3) : 99\)

\(\implies \dfrac{(x+1)}{72}= \dfrac{(2x-3)}{99}\)

\(\implies 99(x+1)=72(2x-3)\)

\(\implies 99x+99=144x-216\)

\(\implies 315=45x\)

\(\implies x=\dfrac{315}{45}\)

\(\implies x=7\)

Answer: 31 students

Step-by-step explanation:

Because the class has 93 students, and there are a total of 124(70+54) classes taken, 124-93 students, or 31 students taking both classes.

Hope it helps <3

Answer:

A)  x = -9, x = 8

B)  x = 2, x = 10

C)  x = -6, x = 10

D)  x = -8, x = -3

E)  x = -8, x = 9

Step-by-step explanation:

\(\boxed{\begin{aligned}&\textsf{Given}: \quad &x^2+x-72& =0\\&\textsf{Rewrite the term in $x$}: \quad &x^2+9x-8x-72& =0\\&\textsf{Factor the first two and last two terms}: \quad &x(x+9)-8(x+9)& =0\\&\textsf{Factor out $(x+9)$}: \quad &(x-8)(x+9)& =0\\&\textsf{Apply the zero-product property}: \quad &(x-8) &=0 \implies x=8\\&&(x+9)&=0 \implies x=-9\\&\textsf{Therefore, the roots are}: \quad & x&=-9,\;8\end{aligned}}\)

\(\boxed{\begin{aligned}&\textsf{Given}: \quad &x^2-12x+20&=0\\&\textsf{Rewrite the term in $x$}: \quad &x^2-10x-2x+20& =0\\&\textsf{Factor the first two and last two terms}: \quad &x(x-10)-2(x-10)& =0\\&\textsf{Factor out $(x-10)$}: \quad &(x-2)(x-10)& =0\\&\textsf{Apply the zero-product property}: \quad &(x-2) &=0 \implies x=2\\&&(x-10)&=0 \implies x=10\\&\textsf{Therefore, the roots are}: \quad & x&=2,\;10\end{aligned}}\)

\(\boxed{\begin{aligned}&\textsf{Given}: \quad &x^2-4x-60&=0\\&\textsf{Rewrite the term in $x$}: \quad &x^2-10x+6x-60& =0\\&\textsf{Factor the first two and last two terms}: \quad &x(x-10)+6(x-10)& =0\\&\textsf{Factor out $(x-10)$}: \quad &(x+6)(x-10)& =0\\&\textsf{Apply the zero-product property}: \quad &(x+6) &=0 \implies x=-6\\&&(x-10)&=0 \implies x=10\\&\textsf{Therefore, the roots are}: \quad & x&=-6,\;10\end{aligned}}\)

\(\boxed{\begin{aligned}&\textsf{Given}: \quad &x^2+24&=-11x\\&\textsf{Add $11x$ to both sides}: \quad &x^2+11x+24&=0\\&\textsf{Rewrite the term in $x$}: \quad &x^2+8x+3x+24& =0\\&\textsf{Factor the first two and last two terms}: \quad &x(x+8)+3(x+8)& =0\\&\textsf{Factor out $(x+8)$}: \quad &(x+3)(x+8)& =0\\&\textsf{Apply the zero-product property}: \quad &(x+3) &=0 \implies x=-3\\&&(x+8)&=0 \implies x=-8\\&\textsf{Therefore, the roots are}: \quad & x&=-8,\;-3\end{aligned}}\)

\(\boxed{\begin{aligned}&\textsf{Given}: \quad &x^2-x-72& =0\\&\textsf{Rewrite the term in $x$}: \quad &x^2-9x+8x-72& =0\\&\textsf{Factor the first two and last two terms}: \quad &x(x-9)+8(x-9)& =0\\&\textsf{Factor out $(x-9)$}: \quad &(x+8)(x-9)& =0\\&\textsf{Apply the zero-product property}: \quad &(x+8) &=0 \implies x=-8\\&&(x-9)&=0 \implies x=9\\&\textsf{Therefore, the roots are}: \quad & x&=-8,\;9\end{aligned}}\)

Answer:

Approximately what will be saved will be 8.00

Step-by-step explanation:

Here, we want to know the amount that the customer will save

Firstly, we need to know the amount that all will cost

Mathematically, that will be;

24 + 16.12 + 10.5 = 50.62

The amount to be discounted is 15% of this

That will be 15% of 50.62

= 15/100 * 50.62

= 7.593

Answer:

Black socks pairs = 7

Brown socks pairs = 3

White socks pairs = 8

P(not black) = ?

First, you need to add the brown & white socks pairs,

\(3 + 8 = 11\)

Then you need to add the total number of socks pairs,

\(7 + 3 + 8 \\ = 7 + 11 \\ = 18\)

P(not black)

\( = \frac{11}{18} \)

Step-by-step explanation:

solution given:

total pair of socks[S]=(7+3+8)=18

total pair of black socks[B]=7

total pair of brown socks [C]=3

total pair of white socks[W]=8

total no of orange marbles[O]=2

now

the P( not black) =?

we have

P( not black) =1-\( \frac{n[B]}{n[S]} \)

P( not black) =1-\( \frac{7}{18} \)

P( not black) =\( \frac{18-7}{18} \)

P( not black) =\( \frac{11}{18} \)

so 11/18 is a required probabilty.

Answer:

to calculate the circumference of a circle is to multiply the diameter of the circle with π (pi). the circumference can be calculated by multiplying 2 x radius with π ( pi ) (π=3.14)

I believe it will help you

Hey there!

3(7n + 6) - 5n

= 3(7n) + 3(6) - 5n

= 21n + 18 - 5n

= 16n + 18

Therefore, your answer should be:

16n + 18

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

\(\text {Hello! Let's Solve this Problem!}\)

\(\text {\underline {The First Step is to Flip the Equation}}\)

\(\text {Before: -3+2v=-7}\\\text {After: 2v-3=-7}\)

\(\text {\underline {The Next Step is to Add both sides by 3}}\)

\(\text {-3+3=0 (this cancels out)}\\\text {-7+3=-4}\)

\(\text {Your New Problem Is: 2v=-4}\)

\(\text {\underline {The Final Step is to Divide both sides by 2}}\)

\(\text {2v/2=0 (This cancels out. Leaving v by itself)}\\\text {-4/2=}\)

\(\text {Your Answer Would Be:}\)

\(\huge\boxed {v=-2}\)

\(\text {Best of Luck!}\)

To find the slopes of the traces to the surface given by z = 10 - 4x² - y² at the point (1, 2), we need to calculate the partial derivatives dz/dx and dz/dy at that point. Slope of traces x and y was found to be -4 , -8.

The first partial derivative dz/dx represents the slope of the trace in the x-direction, and the second partial derivative dz/dy represents the slope of the trace in the y-direction. To calculate dz/dx, we differentiate the given function with respect to x, treating y as a constant:

dz/dx = -8x

To calculate dz/dy, we differentiate the given function with respect to y, treating x as a constant:

dz/dy = -2y

Now, substituting the coordinates of the given point (1, 2) into the derivatives, we can find the slopes of the traces:

dz/dx = -8(1) = -8

dz/dy = -2(2) = -4

Therefore, at the point (1, 2), the slope of the trace in the x-direction is -8, and the slope of the trace in the y-direction is -4.

learn more about partial derivative here:

https://brainly.com/question/28750217

#SPJ11

Answer: you have to divide each side by 8, not 4. If you divide by 4, you get 2x = 1

The correct answer would be 1/2

The area of the region R is 4/3 square unit, while the value of c is 2 - √3.

To find the value of c for which the two subregions have the same area, we need to first find the points of intersection of the given curves.

Setting y = 2x - x^2 = 0, we get x = 0 and x = 2. So the curves intersect at the points (0,0) and (2,0).

Now, we can set up the integral to find the area of the region R:

A = ∫[0,2] (2x - x^2) dx

A = [x^2 - (x^3/3)]|[0,2]

A = (4/3) square units

Next, we need to find the value of c for which the two subregions of R have the same area. Let (a, 2a - a^2) be the point where the line y = cx intersects the curve y = 2x - x^2.

So we have:

2a - a^2 = ca

Rearranging, we get:

a^2 - 2a + c = 0

Using the quadratic formula, we get:

a = (2 ± √(4 - 4c))/2 = 1 ± √(1 - c)

Since a > 0, we must choose the positive root.

Now, we can set up the integrals to find the areas of the two subregions of R:

A1 = ∫[0,a] (2x - x^2 - cx) dx

A2 = ∫[a,2] (2x - x^2 - cx) dx

Setting A1 = A2, we get:

∫[0,a] (2x - x^2 - cx) dx = ∫[a,2] (2x - x^2 - cx) dx

Solving for c, we get:

c = (2a - a^2)/(2a - 2)

Substituting a = 1 + √(1 - c), we get:

c = 2 - √3

Therefore, the value of c for which the two subregions of R have the same area is 2 - √3.

Learn more about area of regions here:

https://brainly.com/question/31377501

#SPJ1

The value of tensions are:

T₁ = 231/74

T₂ = -329/66

T₃ = 8/33

We can use Gaussian elimination to solve the system of equations:

5T₁ + 3T₂ + 5T₃ = 70

T₁ + 2T₂ + 4T₃ = 24

4T₁ + 2T₂ = 40

First, we'll use the third equation to eliminate T₂ from the first two equations:

4T₁ + 2T₂ = 40   (equation 3)

T₁ + 2T₂ + 4T₃ = 24   (equation 2)

Multiplying the third equation by 2 and subtracting it from the second equation:

T₁ + 2T₂ + 4T₃ = 24   (equation 2)

- 8T₁ - 4T₂ = -80   (2 × equation 3)

------------------------

-7T₁ + 4T₃ = -56

Now we have two equations:

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

-7T₁ + 4T₃ = -56   (from previous step)

Multiplying the first equation by 7/5 and adding it to the second equation:

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

-7T₁ + 4T₃ = -56   (from previous step)

------------------------

T₁ + 7T₃ = 14

Now we can use the third equation to eliminate T₂ from the first equation:

4T₁ + 2T₂ = 40   (equation 3)

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

Multiplying the third equation by 3/2 and subtracting it from the first equation:

4T₁ + 2T₂ = 40   (equation 3)

-11T₁ - T₃ = -35   (3 × equation 3 - 5 × equation 1)

Now we have two equations:

T₁ + 7T₃ = 14   (from previous step)

-11T₁ - T₃ = -35   (from this step)

Multiplying the second equation by -7 and adding it to the first equation:

T₁ + 7T₃ = 14   (from previous step)

74T₁ = 231

Therefore, T₁ = 231/74.

Substituting this value back into the equation T₁ + 7T₃ = 14, we get:

(231/74) + 7T₃ = 14

7T₃ = (74/231) × 20

T₃ = 8/33

Finally, substituting T₁ = 231/74 and T₃ = 8/33 into the equation -11T₁ - T₃ = -35, we get:

-11(231/74) - (8/33) = -329/66

Therefore, T₂ = -329/66.

So, the tensions are: T₁ = 231/74 T₂ = -329/66 T₃ = 8/33

Learn more about Gaussian elimination visit:

https://brainly.com/question/14529256

#SPJ4

The Answer is (x+9)^2

Answer:

-81/20

Step-by-step explanation:

The transformations that take place on the parent function F=f(x)=log(x) to achieve the graph of g(x)=log(-3x-6)-2 are horizontal compression and vertical shift.

The transformations are a horizontal compression and a vertical shift.

Therefore, the transformations can be expressed mathematically as follows:

g(x) = log(-3x - 6) - 2

= log(-3(x + 2)) - 2

= log(1/3)log(-3(x + 2)) - 2

Therefore, the transformations are a horizontal compression by a factor of 1/3 and a vertical shift downwards by 2 units.

Learn more about transformations at brainly.com/question/29788009

#SPJ1

Using the empirical rule, we can estimate that approximately 97.5% of the students have GPAs that are greater than 1.66 at this university.

The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

To apply this rule to the given scenario, we first need to calculate how many standard deviations away from the mean a GPA of 1.66 is.

Z = (X - μ) / σ

Where X is the GPA in question, μ is the mean (2.56), and σ is the standard deviation (0.45).

Z = (1.66 - 2.56) / 0.45 = -2

This tells us that a GPA of 1.66 is 2 standard deviations below the mean.

Now, using the empirical rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Since a GPA of 1.66 is 2 standard deviations below the mean, we can conclude that only about 2.5% (half of the remaining 5%) of the students have a GPA lower than 1.66.

Therefore, the percentage of students who have GPAs that are greater than 1.66 would be approximately 97.5%.

To know more about empirical rule, refer to the link below:

https://brainly.com/question/18025920#

#SPJ11

The Nitrogen is commonly considered as a Trigonal Pyramidal molecule .

In a Trigonal Pyramidal arrangement, there are three atoms attached to the central atom at the corners of a triangular plane, with the fourth atom attached above or below the plane.

This molecular geometry is commonly observed in compounds where the central atom has five valence electrons, such as nitrogen in its most common oxidation state of +3.

The Nitrogen in this oxidation state forms compounds like nitrogen triiodide (NI₃) and nitrogen trioxide (NO₃), which have a trigonal pyramidal geometry.

Therefore , Yes , Nitrogen is trigonal pyramidal .

Learn more about Trigonal Pyramidal here

https://brainly.com/question/28358543

#SPJ4

The correct answer is:

The results of the ANOVA indicate that both Kia and Honda have significantly better gas mileage than Ford.

Given is an information about,
Least Squares Means

Adjustment for Multiple Comparisons: Tukey-Kramer

We need to identify the correct answer from the options given.

So, from the table we can conclude that "the results of the ANOVA indicate that both Kia and Honda have significantly better gas mileage than Ford."

This can be inferred from the comparison of LSMEAN numbers in the table.

The LSMEAN number for Ford is 1, for Honda it is 2, and for Kia it is 3. Comparing the values in the table, we can see that the Pr > t values for the comparisons between Ford and both Honda and Kia are less than the significance level (0.05).

This indicates that there are significant differences in gas mileage between Ford and both Honda and Kia, suggesting that both Honda and Kia have significantly better gas mileage than Ford.

Hence the correct option is 4th.

Learn more about Least Squares Means click;

https://brainly.com/question/13838716

#SPJ4

Complete question is attached.

Answer:

The solution will go from NO common solutions to infinite solutions between the 2 parallel lines.

Step-by-step explanation:

In the original case all solutions for equation 1 are above line 1 (y >) and all solutions for equation 2 are below line 2 (y <), so there is no overlap and therefore no common solutions. When reversed, all solutions for line 1 are below line 1 and all solutions for line 2 are above line 2. So the overlap is everything between the two lines.

Answer:

The shaded area would reverse on both inequalities.  

The graphs do not overlap until the signs are reversed.  

There are an infinite number of solutions in the system once the signs are reversed.

There are no solutions before they are reversed.

Step-by-step explanation:

edge 2021

The dimensions of the vertical cross section of the prism is D = 5 in x 4 in

Given data ,

Let the prism be represented as A

Now , the value of A is

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Now , the length of the cross section of prism is L = 5 inches

And , the height of the cross section = height of the prism

where the height of the prism H = 4 inches

Hence , the dimension of the cross section is D = 5 in x 4 in

To learn more about surface area of prism click :

https://brainly.com/question/9183590

#SPJ1

Answer:

the answer to your question is B $3.60

Answer:

15 is 30% of 50 :D

Step-by-step explanation:

Answer:

(-1,-1)

Step-by-step explanation:

Because that is where the dot is.

Hope this helps :)

Answer:

That would be -2, -2

Step-by-step explanation:

This is because if you go left or right it changes the x in (x,y). And when you move up or down it changes the y. So 5 seven units to the left is like 5 - 7 which is -2. And one unit up from -3 is -3 + 1 which is -2. Then you get your answer which is (-2,-2)

Answer:

D. -0.25 0.25

Step-by-step explanation:

Based on the numbers marked on the horizontal number line, the statement that is true is:

D. -0.25 0.25

The numbers marked on the number line indicate that the interval between -0.25 and 0.25 is represented.