What is the solution to this equation?
16x- 10x + 9 = 99 - 30
O A. x = 11
O B. x = 10
O c. x = 12
O D. x = 13

Answer:

d. 64

Step-by-step explanation:

x^1/2 = 8

Square each side

(x^1/2 )^2=( 8)^2

x = 64

Answer:

r = \(\sqrt{\frac{3V}{4\pi h} }\)

Step-by-step explanation:

V = \(\frac{4}{3}\) πr²h ( multiply both sides by 3 to clear the fraction )

3V = 4πr²h ( isolate r² by dividing both sides by 4πh )

\(\frac{3V}{4\pi h}\) = r² ( take square root of both sides )

\(\sqrt{\frac{3V}{4\pi h} }\) = r

Answer: 4+2y

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Constructing the altitude of triangle ABC from point A, we get that by the Pythagorean theorem,

h^2 = (AC)^2 - (BC/2)^2 -> h=48.

So now, we know that once again by the Pythagorean theorem,

(CD+14)^2 = (AD)^2 - h^2

(CD+14)^2 = 400 -> CD=6

Answer:

35 4/10

Step-by-step explanation:

Answer:

36 4/10 or 36 2/5

Step-by-step explanation:

Answer:

\(3\frac{1}{3}\)

Step-by-step explanation:

Dividing fractions is like multiplying the reciprocal of the second number

For example: \(\frac{36}{3}\) divided by \(\frac{24}{6}\)

Multiply the reciprocal, which is 6/24

\(\frac{36}{3} * \frac{6}{24} ,\) Find divisible diagonal factors. Divide by 3 diagonally and divide by 12 diagonally

\(\frac{3}{1} * \frac{2}{2} = 3\)

You can check by making 36/3 to 12 and 24/6 to 4.

12/4 = 3

In the same way:

\(\frac{4}{3} /\frac{2}{5} = \frac{4}{3} * \frac{5}{2} =\)

Divide by 2 diagonally

\(\frac{2}{3} * \frac{5}{1} =\frac{10}{3} = 3\frac{1}{3}\)

The answer is \(3\frac{1}{3}\)

Hope this helps :)

Have a nice day!

The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

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Answer:

Step-by-step explanation:

Ok look, you gonna laern something’s so basically you can not be a man of a man who is a man of a man and he killed you he was the one he saw him kill him he said it would be a good day he is not the only person who he was killed him in electric he didn’t know what he saw and killed a good man he said was he killed a man he was a good father he said ihe on my way to the hospital was at my moms for my first time here in a good day with him I was with green light blue red white white yellow blue blue orange green yellow blue blue green green orange yellow yellow orange orange brown white yellow yellow white yellow orange yellow yellow green yellow blue blue i was the yellow orange orange yellow orange green yellow blue blue white white blue green green among us

E

Answer:

13

Step-by-step explanation:

The volume of the pyramid can be calculated using the formula:

Volume = (1/3) * base area * height

The base area of the pyramid is equal to the area of one of the square sides, which is:

Base area = 12 in * 12 in = 144 in^2

Therefore, the volume of the pyramid is:

Volume = (1/3) * 144 in^2 * 14 in = 2,688 in^3

Each wax cube has a volume of:

Volume of a wax cube = 6 in * 6 in * 6 in = 216 in^3

To find out how many wax cubes Josiah needs, we can divide the volume of the pyramid by the volume of each wax cube:

Number of wax cubes = Volume of pyramid / Volume of each wax cube

Number of wax cubes = 2,688 in^3 / 216 in^3 = 12.4444...

Since we can't use a fraction of a wax cube, Josiah will need to use 13 wax cubes to make the candle.

Dautienbanchuyenvexophuongtrinhthu1saudothevaophuontrinhthu2,thuchiencacbuoc

chuyenvedoidaularaketquanhe

Answer:

77.00

Step-by-step explanation:

the price is going by 1.50 a year so it would be 77.00 in 2020

19% of people have a dog,24% of people have a cat , and 14% percentage of people have both 62% of people have either a dog or a cat.

To find the percentage of people that have either a dog or a cat, we need to add the percentage of people that have a dog to the percentage of people that have a cat.

19% + 24% = 43%

Therefore, 62% of people have either a dog or a cat.

43% of people have either a dog or a cat, but do not have both. We can find this by subtracting the percentage of people that have both a dog and a cat from the total percentage.

43% - 14% = 29%

Therefore, 29% of people have a dog or a cat, but not both.

The complete question is:

Suppoe that 19% of people have a dog,24% of people have a cat , and 14% of people have both dog and cat.

What percentage of people have either a dog nor a cat?

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Answer:

x = 5. The number added to the numerator and to the denominator is 5.

Step-by-step explanation:

Lets start with 3/5. We're going to add the same number to the top and the bottom. We don't know that number, so we use x.

(3+x)/(5+x)

They said that then becomes 4/5.

(3+x)/(5+x) = 4/5

crossmultiply.

5(3+x) = 4(5+x)

use distributive property.

15 + 5x = 20 + 4x

subtract 4x from both sides.

15 + x = 20

subtract 15 from both sides.

x = 5

Check:

(3+5)/(5+5)

= 8/10

= 4/5

The ordered pair notation for UOS is UOS = {(a, b)} .

To express the relation UOS using ordered pair notation, we need to find all the pairs of elements that are related in both U and S.
Looking at U and S:
U = {(a, 6), (d, a)}
S = {(a, b), (d, d)}
We can see that the only pair that is related in both U and S is (a, b). Therefore, the ordered pair notation for UOS is:
UOS = {(a, b)}
Note that we only include the pair that is related in both U and S, even though there may be other pairs that are related in U or S individually.

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Answer:

-4

Step-by-step explanation:

2 1/4 - 7 1/2 = -5.25

-5.25 - (-1 1/4) = -4

Answer:

=24/142

4

=-188/4+111/4

= -7/4 ANS.

MARK ME BRAUNLIST PLZ.

The sum of the first 9 terms of the series 75, 60, 48 can be found using the formula for the sum of an arithmetic series. The sum is equal to the average of the first and last terms, multiplied by the number of terms. Therefore, the sum of the first 9 terms of the series is 367.

The given series is not an arithmetic sequence with a common difference, so we cannot directly apply the formula for the sum of an arithmetic series. However, we can still find the sum by manually adding the terms or by observing a pattern.

The series can be rewritten as 75, 60, 48, 39, 33, 30, 30, 33, 39. From this pattern, we can see that the terms alternate between decreasing and increasing values. The sum of the first 9 terms can be calculated by adding the terms together:

75 + 60 + 48 + 39 + 33 + 30 + 30 + 33 + 39 = 367

Therefore, the sum of the first 9 terms of the series is 367.

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From the given options, the expression ∮C F⋅dr=∫01​∫3π/4π​r2cosθdθdr corresponds to the line integral ∮C F⋅dr in polar coordinates after applying Green's theorem. Thus, option A is correct.

To apply Green's theorem in this case, we need to evaluate the line integral ∮C F⋅dr by converting it to a double integral using polar coordinates.

The line integral is given by:

∮C F⋅dr = ∬D (curl F) ⋅ dA

where D is the region bounded by the curves y = 1 - x^2 and y = |x|, and dA is the area element in polar coordinates.

To find the curl of F, we need to compute its partial derivatives:

∂F/∂x = y + 2x/(1 + x^2)

∂F/∂y = 1 + 4y^3/(1 + y^4)

Now, we can evaluate the line integral by integrating the curl of F over the region D:

∮C F⋅dr = ∬D (curl F) ⋅ dA

Since the line integral is given in polar coordinates, the double integral should also be in polar coordinates.

From the given options, the expression ∮C F⋅dr=∫01​∫3π/4π​r2cosθdθdr corresponds to the line integral ∮C F⋅dr in polar coordinates after applying Green's theorem.

Thus, option A is correct.

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To find the force constant k of the spring, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position.

Hooke's Law can be expressed as:

F = -kx

where F is the force exerted by the spring, k is the force constant (also known as the spring constant), and x is the displacement of the spring.

In this scenario, the subway train is brought to a stop by the spring bumper, so the force exerted by the spring is equal to the force required to stop the train. We can use the equation for force to find the force constant.

Given:

Mass of the subway train (m) = 6.00 x 10^5 kg

Initial velocity (v₀) = 0.500 m/s

Displacement (x) = 0.800 m

The force required to stop the train can be calculated using Newton's second law:

F = ma

where F is the force, m is the mass, and a is the acceleration.

In this case, the train is brought to a stop, so its final velocity is zero. The acceleration can be calculated using the kinematic equation:

v² = v₀² + 2ax

Since the final velocity is zero, we can rewrite the equation as:

0 = v₀² + 2ax

Solving for acceleration (a), we have:

a = -v₀² / (2x)

Substituting the given values:

a = -(0.500 m/s)² / (2 * 0.800 m)

a = -0.15625 m/s²

Now, we can calculate the force:

F = ma

F = (6.00 x 10^5 kg) * (-0.15625 m/s²)

F = -9.375 x 10^4 N

According to Hooke's Law, this force is equal to -kx. Comparing the equation with the calculated force:

-9.375 x 10^4 N = -k * 0.800 m

Solving for the force constant (k):

k = (-9.375 x 10^4 N) / (0.800 m)

k = -1.171875 x 10^5 N/m

Therefore, the force constant of the spring is approximately -1.171875 x 10^5 N/m.

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The coordinates of the midpoint of PQ is (5/8, 1/8)

i. To find the slope of the line l1, you can rearrange the equation 4x - 3y + 5 = 0 to the standard form of y = mx+ b, where m is the slope and b is the y-intercept.

4x - 3y + 5 = 0

3y = -4x + 5

y = (-4/3)x + (5/3)

So the slope of the line l1 is m = -4/3.

ii. To find an equation of the line l2, which passes through the point (1, 2) and is perpendicular to the line l1, you can use the slope-intercept form of a line y = mx + b, where m is the slope and b is the y-intercept. Since line l2 is perpendicular to line l1, the slope of l2 is the negative reciprocal of the slope of l1.

m = -1/(-4/3) = 3/4

We can substitute point (1, 2) into the equation

2 = 3/4 * 1 + b

b = 2 - 3/4

So the equation of the line l2 is y = 3/4 x + (2 - 3/4) = 3/4 x + 1/4

iii. To find the coordinates of the point where line l1 crosses the x-axis, we can set y to 0 and solve for x.

y = (-4/3)x + (5/3)

0 = (-4/3)x + (5/3)

x = 5/4

The point where line l1 crosses the x-axis is (5/4, 0)

Similarly, to find the point where line l2 crosses the y-axis, we can set x to 0 and solve for y.

y = 3/4 x + 1/4

y = 3/4 * 0 + 1/4

y = 1/4

The point where line l2 crosses the y-axis is (0, 1/4)

The midpoint of two points can be found by taking the average of the x and y coordinates.

Midpoint of P and Q = ( (5/4 + 0) / 2, (0 + 1/4) / 2) = (5/8, 1/8)

So the coordinate of the midpoint of PQ is (5/8, 1/8).

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Answer:

Step-by-step explanation:

Another name for AXW is <X

The arrow on XW implies that the segment XW is a ray, such that any of the points X or W can be the starting point

Hence, another name for XW is WX

A ray with an endpoint X is a ray that ends at point X

An example of such ray is XY

The arrow on WX implies that the segment WX is a ray, such that any of the points X or W can be the starting point

Hence, another name for WX is XW

The name AXW represents an angle

An angle can be named after its middle point

Hence, another name for AXW is <X

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The radius is approximately 3.78 inches.

We can solve the question using the formula for the surface area of a sphere:

S=4πr^2

We are given that the surface area is 225 square inches, so we can substitute this value into the formula and solve for r:

\(225=4\pi r^2\frac{225}{4\pi}\)

      = r^2

r={{225}{4π}}

approx  3.78

A sphere does not have any edges or vertices, like other 3D shapes. The points on the surface of the sphere are equidistant from the center.

Hence, the distance between the center and the surface of the sphere are equal at any point. This distance is called the radius of the sphere.

The Radius of a circle or sphere is equal to the Diameter divided by 2.

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The indefinite integral \($\int x^2e^{3x^2} dx\) evaluated as an infinite series is \(\frac{x^3}{3} + \frac{3x^5}{2! \cdot 5} + \frac{3^2 x^7}{3! \cdot 7} + \dots$\) and the indefinite integral \($\int x \sin(4x^5) , dx\)evaluated as an infinite series is \(\left(\frac{2}{7}x^7\right) - \left(\frac{4^3}{3! \cdot 13}x^{13}\right) + \left(\frac{4^5}{5! \cdot 19}x^{19}\right) - \left(\frac{4^7}{7! \cdot 25}x^{25}\right) + \ldots$\)

To evaluate the indefinite integral \($\int x^2 e^{3x^2} dx$\) as an infinite series, we can use the power series expansion of the exponential function.

The power series expansion of \(e^u\) is given by \($e^u = 1 + u + \frac{u^2}{2!} + \frac{u^3}{3!} + \dots$\)

Using this expansion, we can rewrite the integrand as \($x^2e^{3x^2} = x^2\left(1 + \left(3x^2\right) + \frac{\left(3x^2\right)^2}{2!} + \frac{\left(3x^2\right)^3}{3!} + \dots\right)$\)

Now, we can integrate each term of the series individually. The integral of \(x^2\) is \((x^3 / 3)\), and the integral of \(x^{2n}\) is \((x^{(2n+1)} / (2n+1)(n!))\) for n > 0.

Therefore, the integral becomes \($\int x^2e^{3x^2} dx = \frac{x^3}{3} + \frac{3x^5}{2! \cdot 5} + \frac{3^2 x^7}{3! \cdot 7} + \dots$\)

To evaluate the indefinite integral \($\int x \sin(4x^5) dx$\) as an infinite series, we can use the power series expansion of the sine function.

The power series expansion of sin(u) is given by \($\int x \sin(4x^5) dx = \int x \left(4x^5 - \frac{(4x^5)^3}{3!} + \frac{(4x^5)^5}{5!} - \frac{(4x^5)^7}{7!} + \ldots \right) dx$\)

Using this expansion, we can rewrite the integrand as \($x \sin(4x^5) = x \left(4x^5 - \frac{(4x^5)^3}{3!} + \frac{(4x^5)^5}{5!} - \frac{(4x^5)^7}{7!} + \ldots\right)$\)

Now, we can integrate each term of the series individually. The integral of \(x(4x^5)\) is \((2x^7)\), and the integral of \(x^(2n+1)\) is \((2x^{(2n+2)} / (2n+2))\) for n > 0.

Therefore, the integral becomes \($\int x \sin(4x^5) , dx = \left(\frac{2}{7}x^7\right) - \left(\frac{4^3}{3! \cdot 13}x^{13}\right) + \left(\frac{4^5}{5! \cdot 19}x^{19}\right) - \left(\frac{4^7}{7! \cdot 25}x^{25}\right) + \ldots$\)

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Answer:

The other person is correct. She didn't correctly distribute 3 to -10. The result would have been 3x - 30 instead of 3x + 30. If you multiply a positive number by a negative number, the answer will be negative. :)

When the weights (in grams) of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6, the sample variance is D. 2.33.

It should be noted that in Mathematics, the variance simply means the average squared deviation of the mean.

From the information, the weights of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6. Therefore, the sample variance will be illustrated thus:

N = number =7

Sum of the numbers = 28

Mean = 28 / 7 = 4

Sample variance will be:

= (4 - 4)² + (2 - 4)² + (5 -4)² + (4 - 4)² +(5 - 4)² +(2 -4)² + (6 - 5)²

= 14 / 6

= 2.33

Therefore, the variance is 2.33.

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Answer: The answer is 4×18= 72

Step-by-step explanation: Since he ate an eighteenth of his biscuits, which in the question is said to be 4 biscuits, an eighteenth of the biscuits he has is 4. There are 18 eighteenths in 1 whole so we multiply 4 by 18 in order to find the answer which is 72

Answer:

angle 8 and angle 5

Step-by-step explanation: