Given: EG - diameter m arc FG =41°, m arc EH =53° Find: m∠E, m∠GPF

Answer:

[tex]\boxed{Option \ A}[/tex]

Step-by-step explanation:

y-intercept = b = 2   [y-intercept is when x = 0]

Slope = m = -3/7

Putting this in slope-intercept equation

=> [tex]y = mx+b[/tex]

=> [tex]y = -\frac{3}{7}x + 2[/tex]

Answer:

a

Step-by-step explanation:

Answer: 4^3

(Four cubed or Four to the power of 3)

Step-by-step explanation:

Answer: I’m pretty sure is letter A

Answer:

Geometric sequence

Step-by-step explanation:

Because this is not adding or subtraction, but multiplication, this would be a geometric sequence.

Answer:

Step-by-step explanation:

v = πr²h

To make h the subject divide both sides by πr²

So we have

[tex]h = \frac{v}{\pi {r}^{2} } [/tex]

when

π = 22/7

r = 7

v = 616

We have h as

[tex]h = \frac{616}{ \frac{22}{7} \times {7}^{2} } = \frac{616}{ \frac{22}{7} \times 49} [/tex]

[tex]h = \frac{616}{22 \times 7} = \frac{616}{154} [/tex]

Hope this helps you

Answer:

Step-by-step explanation:

In order to convert a binary number into a decimal, it is expanded in the power of 2. Then, by simplifying the expanded form of the binary number, we obtain a decimal number.

Let's solve:

[tex]1000110[/tex]

[tex] = 1 \times {2}^{6} + 0 \times {2}^{5} + 0 \times {2}^{4} + 0 \times {2}^{3} + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 \times {2}^{0} [/tex]

[tex] = 1 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 1 \times 4 + 1 \times 2 \times 0 \times 1[/tex]

[tex] = 64 + 0 + 0 + 0 + 4 + 2 + 0[/tex]

[tex] = 70[/tex]₁₀

Hope I helped!

Best regards!!

Answer:

2/6 < 4/6 < 5/6

Step-by-step explanation:

2 < 4 => 2/6 < 4/6

4 < 5 => 4/6 < 5/6

=> 2/6 < 4/6 < 5/6

Answer:

2/6, 4/6 5/6

Step-by-step explanation:

Answer:

There will be 128 holes

Step-by-step explanation:

Simply think of each fold as doubling the number of holes.  So since we have 6 folds, that will be 2^6 and then we have 2 holes in those folds, which makes 2*2^6 == 2^7 == 128 holes.  Cheers.

Folding of the paper is an illustration of a geometric sequence

The number of holes in the rectangular paper is 128

The given parameters are:

[tex]\mathbf{h = 2}[/tex] --- holes

[tex]\mathbf{t = 6}[/tex] --- number of times

The sheet was folded in halves i.e. in 2's.

So, the amount of each time is:

[tex]\mathbf{f(t) = 2 \times h^t}[/tex]

Substitute values for h and t

[tex]\mathbf{f(6) = 2 \times 2^6}[/tex]

Evaluate the exponent

[tex]\mathbf{f(6) = 2 \times 64}[/tex]

Multiply

[tex]\mathbf{f(6) = 128}[/tex]

Hence, the number of holes in the rectangular paper is 128

Read more geometric sequence at:

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Explanation:

The median is the center of the distribution. We see that the center of the shark's distribution is to the left compared to the koi's center. Therefore, the shark's median age is smaller. Choice A is one of the answers.

The spread is exactly what it sounds like: how spread out the data is. Mathematically we use the standard deviation, or sometimes the range, to find out how spread out things are. The koi distribution is more spread out. The shark's data is more clumped together. This is why choice B is the other answer.

Center: Sharks have lower median age than Koi.

Spreads: The ages of koi are more spread out.

A dot plot is a standardized way of displaying the distribution of data based on a five number summary.

The center line in the dot plot shows the median for the data .

Spread of data is measured in terms how far the data differs from the mean.

According to the given question

We have a dot plots for the two fishes sharks and Koi.

According to the given dot plot

Most ages of the sharks is lower than the koi.

⇒ Sharks are  lower than koi.

So, the center: Sharks have lower median age than Koi.

Also, the ages of Koi are wide spreading.

⇒ The ages of koi are more spread out

Therefore, Spreads: The ages of koi are more spread out.

Hence, option A and B are correct.

Learn more about dot plot here:

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Answer:

One

Step-by-step explanation:

y = 3 x - 5.

y = -x + 4.

x=9/4 and y=7/4

1 solution (9/4 , 7/4)

For a system of the equation to be an Independent Consistent System, the system must have one unique solution. The system of the equation has only one solution. Thus, the correct option is A.

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

Given the two equations y=3x -5 and y=-x+4. If the two of the equations are plotted on the graph. Then it can be observed from the graph that there is only one intersection between the two lines.

Hence, the system of the equation has only one solution. Thus, the correct option is A.

Learn more about the System of equation:

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Answer:

12.8

Step-by-step explanation:

you have to use the law of sines to calculate it. the measure of angle c is 110 and you have to do

Sin(110)x=17sin(45)

and then it turns into 17sin(45)/sin(110)

then put it into desmos with it being in degrees mode

Answer:

See below

Step-by-step explanation:

Part A:

[tex](x+2)(x+3) = (x+2)(x-3) + y[/tex]

Resolving Parenthesis

[tex]x^2+3x+2x+6=x^2-3x-2x+6+y\\x^2+5x+6 = x^2-5x+6+y[/tex]

Subtracting [tex]x^2[/tex] and 6 to both sides

[tex]5x= -5x+y[/tex]

Adding 5x to both sides

[tex]y = 5x+5x\\y = 10x[/tex]

Comparing it with [tex]y = mx+b[/tex] where m is the slope while b is the y-intercept

So,

Slope = m = 10

Y-intercept = b = 0

Part B:

[tex]x = my+b[/tex]

Subtracting b to both sides

[tex]my = x-b[/tex]

Dividing both sides by m

[tex]y = \frac{x-b}{m}\\ y = \frac{x}{m} - \frac{b}{m}[/tex]

Comparing it with [tex]y = mx+b[/tex] where m is the slope while b is the y-intercept

So,

Slope = m = [tex]\frac{1}{m}[/tex]

Y-intercept = b = [tex]-\frac{b}{m}[/tex]

Answer:

51°

Step-by-step explanation:

A circle has a total of 360 degrees. So,

360 = 62 + 66 + x + 73 + x + 57

Next, combine like terms:

360 = 2x + 258

Next, isolate your variable by subtracting 258 from both sides:

102 = 2x

Finally, divide both sides by 2 to get x:

x = 51

Answer:

x = 51

Step-by-step explanation:

x + 73 + x + 57 + 62 + 66 = 360

2x + 258 = 360

2x = 360 - 258

2x = 102

[tex]\frac{x}{2} =\frac{102}{2}[/tex]

x = 51

Answer:

The mean and variance are known as the parameters of a distribution.

Step-by-step explanation:

The mean and the variance are parameters of a distribution. Parameters are constantly estimated in Statistics using samples of values of a population because they are often unknown.

They characterize a quantitative aspect of a probability distribution, and completely determined the distribution. For example, in the normal distribution, the mean, [tex] \\ \mu[/tex],  and the variance, [tex] \\ \sigma^{2}[/tex], determined this distribution.

Most of the time, the standard deviation, [tex] \\ \sigma[/tex], is more used than the variance because is in the same units that the mean.

In this way, we can say that these parameters "tell us" where the central point of the distribution is (this is the case for the mean), and also, how spread the values of a probability distribution are (the case for variance or the standard deviation).

Answer:

The only way is across.

Answer:

24.8 km

Step-by-step explanation

To do this we would just multiply 24.8 by 10,000 which is 248000 and if we divide that by 10000 (to get km) we would get 24.8km

Answer:

5/15 is the probability of choosing a red marble from the box.

Step-by-step explanation:

We know that,

There are 5 red marbles and 10 green marbles in the box.

Divide the number of events by the number of possible outcomes. This will give us the probability.

P(red marble) = P(5)

Possible outcomes

5 red, 10 green -> 15 possibilities

Probability = [tex]\frac{5}{15}[/tex]

Please leave a 'thanks' if this helped!

The required probability of drawing a red marble the 6th time is 1/2.

Given that,

A box contains 10 red marbles and 10 green marbles.

Sampling at random from this box five times without replacement, you have drawn a red marble all five times.

Without replacing any of the marbles.

We have to determine,

What is the probability of drawing a red marble the 6th time?

According to the question,

There are 10 red marbles and 10 green marbles,

The initial condition is to the same state at every step, so the probability to get a red marble is the same in each sampling  and is equal to the ratio of the number of red marbles to the total number of samples.

Therefore,

The probability of drawing a red marble the 6th time is,

[tex]P = \dfrac{10}{10+10}\\\\P = \dfrac{10}{20}\\\\P = \dfrac{1}{2}[/tex]

Hence, The required probability of drawing a red marble the 6th time is 1/2.

To know more about Probability click the link given below.

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Answer:

Afful is 21 and Naomi is 13.

Step-by-step explanation:

Let [tex]A[/tex] represent the age of Afful and [tex]N[/tex] represent the age of Naomi.

The sum of their ages is 34. In other words:

[tex]A+N=34[/tex]

In 5 years time, Afful will be two times the age of Naomi now. In other words:

[tex]A+5=2N[/tex]

Solve for the system. Substitute.

[tex]A+N=34\\A=34-N\\34-N+5=2N\\39=3N\\N=13\\\\A=34-N\\A=34-(13)\\A=21[/tex]

Afful is currently 21 and Noami is currently 13.

Answer:

Naomi=x

Afful=2x

In 5 years time= +5

So Naomi=x+5

and and Afful=2x+5

=x+5+2x+5=34

=3x+10=34

Subtract 10 on both sides

3x=24

Divide 3 on both sides

X=8

Check:

X=8

Naomi=16

In 5 years

=16+5=21

Naomi=8+5=13

13+21=34

Hope this helps

Step-by-step explanation:

Answer:

The vertex is ( -5,0)

Step-by-step explanation:

The vertex form of a parabola is

y = a( x-h) ^2 +k

where ( h,k) is the vertex

y=2(x+5)^2

y=2(x - -5)^2 +0

The vertex is ( -5,0)

Answer:

vertex = (- 5, 0 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = 2(x + 5)² , that is y = 2(x + 5)² + 0 ← is in vertex form

with (h, k) = (- 5, 0 )

Answer: 19440 minutes

Step-by-step explanation:

Hi there! Hopefully this helps!

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

Answer: There are 19440 minutes in 324 hours.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Since there are 60 minutes in each hour, we need to multiply the time value by 60. Like this:

324 x 60 = 19440.

Answer:

Sequence B, Sequence A, Sequence C

Step-by-step explanation:

Data obtained from the question include the following:

Sequence A: 160, 40, 10, 2.5,

Sequence B: -21, 63, -189, 567, ...

Sequence C: 8, 12, 18, 27

Next, we shall determine the common ratio of each sequence. This is illustrated below:

Common ratio (r) is simply obtained by dividing the 2nd term (T2) by the 1st term (T1) or by dividing the 3rd term (T3) by the 2nd term (T2). Mathematically, it is expressed as:

r = T2/T1 = T3/T2

For sequence A:

160, 40, 10, 2.5

2nd term (T2) = 40

Ist term (T1) = 160

Common ratio (r) =..?

r = T2/T1

r = 40/160

r = 1/4

r = 0.25

Therefore, the common ratio is 0.25.

For sequence B:

-21, 63, -189, 567

2nd term (T2) = 63

Ist term (T1) = -21

Common ratio (r) =..?

r = T2/T1

r = 63/-21

r = - 3

Therefore, the common ratio is - 3.

For Sequence C:

8, 12, 18, 27

2nd term (T2) = 12

Ist term (T1) = 8

Common ratio (r) =..?

r = T2/T1

r = 12/8

r = 3/2

r = 1.5

Therefore, the common ratio is 1.5.

Summary:

Sequence >>>>> Common ratio

A >>>>>>>>>>>>> 0.25

B >>>>>>>>>>>>> - 3

C >>>>>>>>>>>>> 1.5

From the above illustration,

Ordering the sequence from least to greatest common ratio, we have:

Sequence B, Sequence A, Sequence C.

Answer:

V = 225 cm²

Step-by-step explanation:

The volume of a prism is the product of the base's area and the height

the base of this prism is triangular

the area of a triangle is given by the formula :

b is the base(6cm) and h the height (5cm)

So the volume is

Answer:

225 cm³

Step-by-step explanation:

Area of cross-section × length = Volume of a triangular prism

Area of cross-section is the area of the triangle section.

Area of cross section:

5 × 6 × 0.5

30 × 0.5

= 15

Calculate volume:

15 × length

15 × 15

= 225

Answer:

[tex]x^2 + y^2 + 4x + 4y = -119/16[/tex]

Step-by-step explanation:

The axes x and y are calibrated in 0.25

If the circle is carefully considered, the radius r of the circle is:

r = -1.25 - (-2)

r = 0.75 units

The equation of a circle is given by:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex]

The center of the circle (a, b) = (-2, -2)

Substituting  (a, b) = (-2, -2) and r = 0.75 into the given equation:

[tex](x - (-2))^2 + (y - (-2))^2 = (3/4)^2\\\\(x + 2)^2 + (y + 2)^2 = (3/4)^2\\\\x^2 + 4x + 4 + y^2 + 4y + 4 = 9/16\\\\x^2 + y^2 + 4x + 4y + 8 = 9/16\\\\16x^2 + 16y^2 + 64x + 64y + 128 = 9\\\\16x^2 + 16y^2 + 64x + 64y = -119\\\\x^2 + y^2 + 4x + 4y = -119/16\\[/tex]

Answer:

Step-by-step explanation:

The cost of the new car is $20,000.

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $20000

r = 0.05/12 = 0.0042

n = 12 × 5 = 60

Therefore,

P = 20000/[{(1+0.0042)^60]-1}/{0.0042(1+0.0042)^60}]

20000/[{(1.0042)^60]-1}/{0.0042(1.0042)^60}]

P = 20000/{1.286 -1}/[0.0042(1.286)]

P = 20000/(0.286/0.0054012)

P = 20000/52.95

P = $378

Ahmed will pay $378 each month

The total payment is

378 × 60 = $22680

The amount that Ahmed will pay in interest is

22680 - 20000 = $2680

Answer:

A ( -4, -7)

Step-by-step explanation:

if you translate -1, three units to the left u get -4 and then when u go nine units down u get -7 do it on a grid and u will see wut im talkin about : )

Answer:

A.

Step-by-step explanation:

Answer:

100 degrees

Step-by-step explanation:

360-260=100

Answer:

x=100

Step-by-step explanation:

130+130+x=360

260+x=360

x=100

Have a great and magnificent day

Answer:

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

Step-by-step explanation:

Cost of k key chain=$2.49

Cost of p photo frames=$2.49

Cost of a T-shirt=$5.99

Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt

=2.49k + 2.49p + 5.99

Factorise

2.49 is common to both k and p

=2.49(k + p) + 5.99

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

Answer:

The probability that a man in this age category does NOT die of cancer during the course of the​ year is 0.997.

Step-by-step explanation:

Suppose the probability of an event occurring is [tex]P_{i}[/tex].

The probability of the given event not taking place is known as the complement of that event.

The probability of the complement of the given event will be,

[tex]1 - P_{i}[/tex]

In this case an events X is defined as a man, aged 55​ - 59, will die of cancer during the course of the year.

The probability of the random variable X is:

[tex]P (X) = \frac{300}{100000}=0.003[/tex]

Then the event of a man in this age category not dying of cancer during the course of the​ year will be complement of event X, denoted by X'.

The probability of the complement of event X will be:

[tex]P(X')=1-P(X)[/tex]

          [tex]=1-0.003\\=0.997[/tex]

Thus, the probability that a man in this age category does NOT die of cancer during the course of the​ year is 0.997.

Answer:

$181,432,754

Step-by-step explanation:

We use the formula for compound interest here, to determine the amount

Mathematically, that would be;

A =I (1 + r/n)^nt

where A is the amount which we want to calculate

I is the initial amount which is $90,000

r is the rate = 23.24% = 23.24/100 = 0.2324

n is the number of times per year the interest is compounded = 12 (compounded monthly)

t is the number of years = 2014 - 1981 = 33

Substituting these values, we have;

A = 90,000(1 + 0.2324/12)^(33 * 12)

A = 90,000(1 + 0.0194)^396

A = 90,000(1.0194)^396

A = 181,432,754.27210504

Which is approximately $181,432,754 to the nearest whole dollars

Answer:   [tex]y=\sqrt{x-3}-5[/tex]

Step-by-step explanation:

The vertex form of a square root equation is: [tex]y=a\sqrt{x-h}+k[/tex] where

Input: h = 3 (3 units right) and k = -5 (5 units down) into the vertex form:

[tex]y=\sqrt{x-(3)}+(-5)\\\\y=\sqrt{x-3}-5[/tex]

The resulting equation is: [tex]h(x) = \sqrt{x - 3} - 5[/tex]

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

This question is solved using the translation concept.

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

Original function:

[tex]f(x) = \sqrt{x}[/tex]

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

Translated 3 units to the right

This is f(x - 3), so:

[tex]g(x) = f(x - 3) = \sqrt{x - 3}[/tex]

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

Translating 5 units down

This is g(x) - 5, so:

[tex]h(x) = g(x) - 5 = \sqrt{x - 3} - 5[/tex]

Which is the resulting equation.

The image at the end of this answer compared the graph of the original function, in red, with the translated, in blue.

A similar question is given at https://brainly.com/question/23630829.