Number17) Find length of CD.

Answer:

4 to the power of 10.

Step-by-step explanation:

A rule is that x to the power of y + x to the power z of must equal x to the power of z+y.

Answer:

Option B

Step-by-step explanation:

4²×4^8

4^(2+8)

4^10

4 to the 10th power

Answer:

Assuming x is the number, then [tex]x=1.6[/tex]

Step-by-step explanation:

If the product of a number and 5 is 8, the equation becomes:

[tex]5x=8[/tex] (assuming x is the unknown number).

We can isolate the variable x by dividing both sides by 5.

[tex]5x\div5 = 8\div5\\x = 1.6[/tex]

Hope this helped!

Answer: x' = 30t

              y' = 20t

Step-by-step explanation:

To find the derivative, multiply the exponent to the leading coefficient and decrease the exponent by 1.

x = 15t²

x' = 2 · 15t²⁻¹

  = 30t¹

  = 30t

y = 10t²

y' = 2 · 10t²⁻¹

   = 20t¹

   = 20t

Answer:

=2ab +abk -2m- mk

= ab(2+k) -m(2+k)

=(2+k)(ab-m)

Step-by-step explanation:

Step-by-step explanation:

1st expression= 6x^2y

2nd expression= 9xy

HCF= 3xy

Answer:

Question (i):

Reduce = 15% of Rs 40 = 0.15 x 40 = Rs 6

Price after reduced = Rs 40 - Rs 6 = Rs 36

Answer: Rs 36

-

Question (ii):

Reduce = 15% x 20.40 = 0.15 x 20.40 = Rs 3.60

Price after reduced = Rs 20.40 - Rs 3.60 = Rs 17.34

Answer: Rs 17.34

-

Answer:

$ 800

Step-by-step explanation:

number of books sold = 50

money earned = $ 890.00

profit = $ 90.00

Then the price of 50 books will be (money earned) - (profit)

= 890 - 90

= 800

So, the cost of 50 books is $ 800

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

Answer:

[tex]\large \boxed{\mathrm{7800 \ brownies}}[/tex]

Step-by-step explanation:

975 brownies are produced per 1 hour.

To find how many brownies are produced in 8 hours, multiply the brownies amount by the hours.

975 × 8 = 7800

7800 brownies will be produced in an 8 hour shift.

Answer:

the answer is 7800

Step-by-step explanation:

975 brownies are created per 60 minutes.

To discover what number of brownies are created in 8 hours, duplicate the brownies sum continuously.

975 × 8 = 7800

7800 brownies will be created in a 8 hour move.

Answer:

nacho taco Guadalupe Juan ching chong

Step-by-step explanation:

Noob

Answer:

The roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2,  are;

x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i

Step-by-step explanation:

The given equation is 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2

Which gives;

3.1·x³ - 2.4·x²+ 6·x - 3 - 4·x² - 3·x - 2 = 0

3.1·x³ - 6.4·x²+ 3·x  - 5 = 0

Factorizing online, we get;

3.1·x³ - 6.4·x²+ 6·x + 3·x - 5 = 3.1·(x - 1.986)·(x² - 0.0784·x + 0.812) = 0

Therefore, the possible solutions are;

x - 1.986= 0 or x² - 0.0784·x + 0.812 = 0

The roots of the equation are x² - 0.0784·x + 0.812 = 0 are;

x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i

Therefore, the roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2,  are;

x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i.

Answer:

24 meters

Step-by-step explanation:

The area of a circle can be found using the following formula.

[tex]a=\pi r^2[/tex]

We know that the area is 144pi m^2.

[tex]a= 144\pi m^2[/tex]

Substitute 144pi m^2 in for a.

[tex]144\pi m^2= \pi r^2[/tex]

We want to find the diameter. First, we must find the radius. We have to get the variable, r,  by itself.

Divide both sides of the equation by pi.

[tex]144\pi m^2/ \pi = \pi r^2 / \pi[/tex]

[tex]144\pi m^2/ \pi = r^2[/tex]

[tex]144 m^2= r^2[/tex]

The variable, r , is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.

[tex]\sqrt{144 m^2} =\sqrt{r^2}[/tex]

[tex]\sqrt{144 m^2} =r[/tex]

[tex]12 m= r[/tex]

The radius of the circle is 12 meters, but the question asks for diameter. The diameter is twice the radius.

[tex]d= r*2[/tex]

The radius is 12 m.

[tex]d= 12 m*2[/tex]

Multiply

[tex]d= 24 m[/tex]

The diameter of the circle is 24 meters.

Answer:

B. Multiply each term in x - 12y = 2 by 4 and add it to the other original equation.

Step-by-step explanation:

The expression are two linear equation and can be solved simultaneously

[tex]x - 12y = 2------------------1[/tex]

[tex]-4x + 7y = 12----------------------2[/tex]

1. we need to multiply each term in eqn 1 by 4 and add it to the other

original equation(2).

[tex]4x - 48y = 8----------------3\\-4x + 7y = 12---------------2\\\\[/tex]

Adding both 3 and 2 we have

[tex]4x - 48y = 8----------------3\\-4x + 7y = 12---------------2\\\\\\[/tex]

2. once we have gotten the value of y

we then substitute it in any of the equations to solve for x

Answer:

(1, 0)

Step-by-step explanation:

x = -b / 2a

x = 2 / 2(1)

x = 2 / 2

x = 1

y = x^2 - 2x + 1

y = (1)^2 - 2(1) + 1

y = 1 - 2 + 1

y = -1 + 1

y = 0

vértice: (1, 0)

Answer:

Step-by-step explanation:

The circumference formula is

C = 2πr. If we are solving the for the radius, and we are using 3.14 for π, we can fill in accordingly:

106.76 = 2(3.14)r and

[tex]\frac{106.76}{2(3.14)}=r[/tex] so

r = 17

Answer:

(x+y)(2x+2y)

Step-by-step explanation:

=2x^2 + 2xy + 2xy + 2y^2

=2x(x+y) + 2y(x+y)

=(x+y)(2x+2y)

Answer

[tex] \boxed{10 \: \: units}[/tex]

Step by step explanation

Let the points be A and B

A ( 5 , 1 ) ⇒ ( x₁ , y₁ )

B ( -3 , -5 )⇒ ( x₂ , y₂ )

Now, let's find the distance between theses two points:

Distance = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]

Plug the values

[tex] \mathsf{ \sqrt{ {( - 3 - 5)}^{2} + {( - 5 - 1)}^{2} } }[/tex]

Calculate

[tex] \mathsf{ \sqrt{ { ( - 8)}^{2} + {( - 6)}^{2} } }[/tex]

Evaluate the power

[tex] \mathsf{ \sqrt{64 + 36} }[/tex]

Add the numbers

[tex] \mathsf{ \sqrt{100} }[/tex]

Write the number in exponential form with a base of 10

[tex] \mathsf {\sqrt{ {10}^{2} } }[/tex]

Reduce the index of the radical and exponent with 2

[tex] \mathsf{10 \: units}[/tex]

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The distance formula is used to determine the distance ( d ) between two points. If the co-ordinates of the two points are ( x₁ , y₁) and ( x₂ , y₂ ) , the distance equals the square root of x₂ - x₁ squared + y₂ - y₁ squared.

Hope I helped!

Best regards!

Answer:

x² + y² = 25

Step-by-step explanation:

The standard form of a circle is (x - h)² + (y - k)² = r² where (h, k) is the center point and r is the radius. In this case, the center is the origin which has coordinates of (0, 0) so h = 0 and k = 0. We know that the radius is 5 so r = 5. Therefore, after plugging in the values of h, k, and r, we get that the answer is x² + y² = 25.

Answer:

6 pepper fruits

Step-by-step explanation:

Given the following :

Fraction of pepper in terms of tomato = 2/3

Number of fruits on pepper plant = 9

Therefore number of pepper fruits on pepper plant:

2/3 * number of tomato fruits

2/3 * 9

(2 * 3) = 6

6 pepper fruits.

Answer: 10, 11, 12

Step-by-step explanation: Think of the integers like this:

1st integer: x

2nd integer: x+1

3rd integer: x+2

That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.

x+x+1+x+2=33.

Simplify:

3x+3=33.

Opposite operations:

3x=-3+33.

To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.

So,

3x=30.

Divide by 3:

x=10.

The first integer, x, equals 10.

To go with the guide that we already created,

1st integer: x=10

2nd integer: x+1=11

3rd integer:x+2=12.

Therefore, the three consecutive integers are 10, 11, and 12.

To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!

Answer:

  10, 11, 12

Step-by-step explanation:

For problems involving consecutive integers, I like to consider their average value. For three consecutive integers, their average will be the middle one. It will be ...

  average = sum / (number of numbers) = 33/3 = 11

The middle number is 11, so the numbers are ...

  10, 11, 12

_____

If you want to write an equation, you can let x represent the middle number. Then the other two are x-1 and x+1, and their sum is ...

  (x-1) +(x) +(x+1) = 33 = 3x

  x = 11   ⇒   x-1 = 10, x+1 = 12

Answer:

Step-by-step explanation:

1/20 of 700:  1/20•700 = 35

700 + n•35 = 1050

n•35 = 350

n = 10

The standard form equation of the line connecting the two points is [tex]2x + y = -2[/tex]

Linear equation in a standard form is given as [tex]Ax + By = C[/tex]

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

[tex]slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

where,

[tex](x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)[/tex]

Substitute

[tex]slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2[/tex]

Step 2: Find the y-intercept (b) of the line by substituting [tex](x, y) = (-3,4)[/tex] and [tex]m = -2[/tex] into [tex]y = mx + b[/tex] (slope-intercept form)

[tex]4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2[/tex]

Step 3: Write the equation of the line in slope-intercept form by substituting [tex]m = -2[/tex] and [tex]b = -2[/tex] into [tex]y = mx + b[/tex]

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

Step 4: Rewrite the equation in standard form [tex](Ax + By = C)[/tex]

[tex]y = -2x - 2\\[/tex]

Add [tex]2x[/tex] to both sides

[tex]2x + y = -2x - 2 + 2x\\2x + y = -2[/tex]

The standard form equation of the points (-3,4) and (2,-6) is [tex]2x + y = -2[/tex]

Learn more about standard form of two points of a linear equation here:

https://brainly.com/question/18446164

Answer:

  (a)  (x -3)^2 = -6(y +5.5)

Step-by-step explanation:

The equation of a parabola can be written as ...

  (x -h)^2 = 4p(y -k)

where (h, k) is the vertex, and p is the distance from the focus to the vertex.

The vertex is half-way between the focus and directrix, so is ...

  (h, k) = (1/2)((3, -7) +(3, -4)) = (3, -5.5)

The focus is at y=-7, and the vertex is at y=-5.5, so the distance between them is ...

  -7 -(-5.5) = -1.5

Then the equation for the parabola is ...

  (x -3)^2 = 4(-1.5)(y -(-5.5))

  (x -3)^2 = -6(y +5.5) . . . . matches the first choice

Answer:

"General Formulas" in mathematics is the general equation you can use for certain things, by just adding the numbers given to the equation so that you can solve the problem.

Form example:

The general formula to find the y-intercept: y=mx+b

Hope this helped!

Have a nice day:)

Answer:

"General Formulas" in mathematics is the general equation you can use for certain things, by just adding the numbers given to the equation so that you can solve the problem.

Step-by-step explanation:

Using function concepts, it is found that:

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

The given function is:

[tex]g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}[/tex]

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

Question a:

The y-intercept is g(0), thus:

[tex]g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5[/tex]

The y-intercept is y = 2.5.

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

Question b:

The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3[/tex]

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[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty[/tex]

Thus, the horizontal asymptote is x = 3.

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Question c:

The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.

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Question d:

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The sketching of the graph is given appended at the end of this answer.

A similar problem is given at https://brainly.com/question/16533631

Supplementary angles are those which sum upto 180°

[tex] \angle 1+\angle2=180^{\circ}[/tex]

Complementary are those which sum to 90°

[tex] \angle 1+\angle2=90^{\circ}[/tex]

so if you know one angle, you can find other.

Answer:Look at my explaination

Step-by-step explanation:The complement of 50 is 90-50 giving us 40degrees

The supplement of 145 is 180-145=35 degrees

The compliment of 27 degrees is 90-27=63 degrees

The supplement of 50 degrees is 180-50=130 degrees

Answer:

13

Step-by-step explanation:

The diagonals of rectangle are equal in length.

Answer:

x=7.5

Step-by-step explanation:

s is for students

d is for days

150 s take 5 days to finish food

if there are 100 s how many days will the same amount of food take

so 150 students × 5 days = 750 equation 1

100 students × x days= 100x equation 2

750 from 1 = 100 x from 2

750÷100=x

x=7.5 days

Answer:

878

Step-by-step explanation:

that is because i know what i am doing.