What is the image of (-7,-4) after a dilation by scale factor of 5 centered at the origin

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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There are a total of 70 lattice paths that start at (2, 2) and end at (10, 10).

To find the number of lattice paths between two points, you can use the formula:
n! / (k! * (n-k)!)
In this case, the total number of steps needed to get from (2, 2) to (10, 10) is 8 steps to the right and 8 steps up, for a total of 16 steps. So n = 16.

The number of steps in one direction (either right or up) is 8, so k = 8.
Plug in these values to the formula:
16! / (8! * (16-8)!)
= 16! / (8! * 8!)
= 20922789888000 / 40320 * 40320
= 70

So there are 70 lattice paths between (2, 2) and (10, 10).
I hope this helps! Let me know if you have any further questions.

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Answer: D

Step-by-step explanation: 2,6

It will take approximately 23.8 years for Jack to accumulate enough money to buy the Rolls-Royce Phantom and win Jill's hand in marriage.

To calculate the number of years it will take for Jack to accumulate enough money to buy the Rolls-Royce Phantom, we can use the concept of compound interest and the future value formula.

The future value (FV) of an investment can be calculated using the formula:

\(FV = PV * (1 + r)^n\)

Where:

FV = Future value

PV = Present value (initial investment)

r = Annual interest rate

n = Number of years

In this case, Jack's present value (PV) is $59,680, and the expected annual return (r) is 4% (or 0.04).

Let's substitute these values into the formula and solve for n:

$330,000 = $59,680 *\((1 + 0.04)^n\)

Divide both sides of the equation by $59,680:

$330,000 / $59,680 =\((1 + 0.04)^n\)

Simplify:

\(5.516 = 1.04^n\)

To solve for n, we can take the logarithm of both sides:

\(log(5.516) = log(1.04^n)\)

Using logarithm properties, we can bring down the exponent:

log(5.516) = n * log(1.04)

Now, divide both sides by log(1.04) to isolate n:

n = log(5.516) / log(1.04)

Using a calculator, evaluate the right side of the equation:

n ≈ 23.8

Therefore, it will take approximately 23.8 years for Jack to accumulate enough money to buy the Rolls-Royce Phantom and win Jill's hand in marriage.

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Jack asked Jill to marry him, and she has accepted under one condition: Jack must buy her a new $330,000 Rolls-Royce Phantom. Jack currently has $59,680 that he may invest. He has found a mutual fund with an expected annual return of 4 percent in which he will place the money. How long will it take Jack to win Jill's hand in marriage? Ignore taxes and inflation. The number of years it will take for Jack to win Jill's hand in marriage is years. (Round to one decimal place.)

Answer:

y = \(\frac{3}{4}\) x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = \(\frac{3}{4}\) and b = - 2 , then

y = \(\frac{3}{4}\) x - 2 ← equation of line

Answer:

Your answer will be 70s-70

Step-by-step explanation:

according to bodmas

hope this helped you

Answer:

\(\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}\)

\(7(10s - 10) \\ = (7 \times 10s) - (7 \times 10) \\ = 70s - 70 \\ = 70(s - 1)\)

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Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

The angle congruent to ∠BAD in isosceles triangle BDC is ∠BCD. Congruent angles refer to angles that have the same measure. In other words, they have equal angles.

In an isosceles triangle, two sides are equal in length, and the angles opposite those sides are congruent. In triangle BDC, since it is isosceles, we can determine the congruent angles.

∠BCD is the angle opposite the equal sides BC and CD. Therefore, ∠BCD is congruent to ∠BDC.

∠BAD is an angle formed by the side BA and the side AD in triangle BDC. Since triangle BDC is isosceles, BD is also equal to DC. Therefore, ∠BCD is also congruent to ∠BDC.

Hence, ∠BCD is the angle in triangle BDC that is congruent to ∠BAD.

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Given:

In \(\Delta DE F,EM=12,FJ=60,MK=11\).

M is the centroid of the triangle DEF.

To find:

The lengths of MJ, DM and EL.

Solution:

We know that the centroid is the intersection points of medians of a triangle and centroid divides each median in 2:1.

M is the centroid of the triangle DEF. It means DK, EL, FJ are medians and M divides these segments in 2:1.

It is given that \(FJ=60\).

\(MJ=\dfrac{1}{2+1}FJ\)

\(MJ=\dfrac{1}{3}(60)\)

\(MJ=20\)

Therefore, the length of MJ is 20 units.

Let DM and MK are 2a and a. It is given that, \(MK=11\). Then

\(a=11\)

Now,

\(DM=2a\)

\(DM=2(11)\)

\(DM=22\)

So, the length of DM is 22 units.

Let EM and ML are 2a and a. It is given that, \(EM=12\). Then

\(2a=12\)

\(a=\dfrac{12}{2}\)

\(ML=6\)

Now,

\(EL=EM+ML\)

\(EL=12+6\)

\(EL=18\)

So, the length of EL is 18 units.

The linear function passing through these points is given as follows:

y = x/3 - 2.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope m of a linear function is the rate of change, and it means that when x is increased by one, y is increased by a fixed amount, which is the slope.

For this problem, we have that when x increases by 3, y increases by 1, hence the slope m is given as follows:

m = 1/3.

When x = 0, y = -2, hence the intercept b is given as follows:

b = -2.

Hence the function is given as follows:

y = x/3 - 2.

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Answer:

the answer is 114,210..................

(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.

A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.

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The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

The confidence interval for the proportion of orders shipped late is 2.763 and 2.523

We are to going to construct a 95% confidence interval, so here the value is x, divided by n.

That is 120 divided by 1000

120/1000= 0.12

Capital value = 1 - 0.12

                      = 0.88

So definitely we are going to right here for this confidence interval must be written as on.

Confidence interval must be written as a cap plus minus go alpha by 2 multiplied by under root of 0.12 multiplied by 0.88 and this must be divisible by n, which is 1000 points.

So if I write here for this, this is 0.12 plus minus

x = 0.12

n = 1000

s = 0.88 = 0.8

z = 95 = 99

Formula to calculate the confidence interval

CI = x ± zs/ √n

    =0.12 ± 95 × 0.88/√1000

    = 0.12 ± 2.643

     = 2.763 and 2.523

Therefore the confidence interval is 2.763 and 2.523.

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Answer:

we need more information

Answer:

\(10.67\pi\) OR \(33.49\)

Step-by-step explanation:

Volume of a Sphere: \(\frac{4}{3} *\pi*r^3\)

Radius = 2

\(\frac{4}{3} *\pi*r^3\)

\(\frac{4}{3} *\pi*2^3\)

\(\frac{4}{3} *\pi*8\)

\(10.67\pi\)

OR

\(\frac{4}{3} *\pi*r^3\)

\(\frac{4}{3} *3.14*2^3\)

\(\frac{4}{3} *3.14*8\)

\(\frac{4}{3} *25.12\)

\(33.49\)

Hope this helps!

The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .

In the question,

few statements about Correlation is given ,

we need to find the statement that is True .

we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,

the correlation can be negative , positive or 0 ,

and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .

So , from the above information about Correlation ,

we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "

Therefore , the statement in option (c) is True  .

The given question is incomplete , the complete question is

Select the statement below that is true about correlations.

(a) Correlations can only be negative

(b) Correlations are a measure of how much one variable changes as the other variable changes

(c) Correlations are a measure used to determine the degree to which two variables are related.

(d) Correlations are a measure of causation between two variables

(e) A negative correlation implies no relationship between variables

(f) Correlations can only be positive .

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Answer:

B. 63°

Step-by-step explanation:

The distance around a circle is 360°

This means that 297° + n = 360°

Equation:

297 + n = 360

We can find the value of n by subtracting:

297 + n = 360

-297        -297

n = 63

Therefore, the value of n is 63 degrees.

The definition of percent helps you write fraction and decimal equivalents by understanding that "per cent" means "per hundred".

For example, if you are asked to write the fraction and decimal equivalent of 25%, you would divide 25 by 100 to get the fractional equivalent of ¼, and divide 25 by 100 to get the decimal equivalent of 0.25.

The decimal equivalent of a fraction or percentage is the numerical value expressed in decimal form. For example, the decimal equivalent of 1/2 is 0.5 and the decimal equivalent of 25% is 0.25. Decimal equivalents are useful for calculations and can be used to convert fractions and percentages into decimal form.

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Answer:

1, -3, 9, -27, (81),-243,729,-2187

Step-by-step explanation:

81 is the answer

Answer:

81, - 243, 729

Step-by-step explanation:

There is a common ratio between consecutive terms in the sequence, that is

r = - 3 ÷ 1 = 9 ÷ - 3 = - 27 ÷ 9 = - 3

Thus to obtain a term in the sequence multiply the previous term by - 3

- 27 × - 3 = 81

81 × - 3 = - 243

- 243 × - 3 = 729

Answer:

XY i think

Step-by-step explanation:

Answer:

See attached image.

Step-by-step explanation:

See attached image.

Answer: 6 inches

Step-by-step explanation:

Road in inches = 1 ⁴/₅

Road in miles = 1 ¹/₅

Inches per mile = 1 ⁴/₅ / 1 ¹/₅

= 1.5 inches

If the road is 4 miles long, on the map it would be;

= 1.5 * 4

= 6 inches

The values that are included in the random variable of the experiment that include rolling one 6-sided die and one 10-sided die are 10, 14 and 16

The experiment elements are given as:

The sample spaces of both dice are:

6-sided = {1, 2, 3...., 6}

10-sided = {1, 2, 3...., 10}

When the outcomes of both dice are added, we have:

Sample space = {2, 3, 4, 5, 6, 7, 8, 9, .............. 16}

Minimum = 2

Maximum = 16

This means that the values that are included in the random variable are in the range 2 - 16 i.e. starting from 2 and ending in 16

Hence, the values that are included in the random variable of using one 6-sided die and one 10-sided die and rolling them together are 10, 14 and 16

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The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

Answer:

6

Step-by-step explanation:

We need to solve the equation .The given equation is ,

→ 8 - 6x = -28

→ -6x = -28-8

→ -6x = -36

→ x = -36/-6

→ x = 6

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

Answer:

Step-by-step explanation:

What do you need help with. I will do it