Solve for x.
3x + 9
x=
33
27
30

Answer:

60/s or s/60

Quotient means divide so you divide the following, s and 6 by each other.

Step-by-step explanation:

Hope it helps! =D

Answer:

Step 1: Convert every letter grade to its respective points (A=4, B=3, C=2, D=1, F=0.)

Step 2: Add up all the grade points.

Step 3: Divide the added grade points (step 2) by the number of class credits taken

Step-by-step explanation:

hope it helps

Applying the two-tangent theorem, the length of AN is: 21 units.

The two-tangent theorem is a geometric theorem that states that if two tangents are drawn to a circle from a point outside the circle, then the lengths of the tangent segments are equal. This theorem is often used in geometry to find the length of tangent segments and to prove the existence of tangents to circles.

More formally, the two-tangent theorem states that if P is a point outside a circle with center O, and if PA and PB are tangents to the circle from point P, then PA = PB. In other words, the lengths of the two tangent segments are equal.

From the image above, AM and AN are two tangents from the same circle. Also, AN is also tangent with 29 - 2y.

This implies that the three tangents are congruent. Therefore:

6y - 3 = 29 - 2y

6y + 2y = 29 + 3

8y = 32

y = 32/8

y = 4

AN = 6y - 3

Plug in the value of y

AN = 6(4) - 3

AN = 21 units.

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The normal force acting on the body is 49.05N

Data;

To calculate the horizontal force or the force acting on the horizontal plane on the body is given as

\(N + fsin\theta = mg\)

Where N = normal force

Let's substitute the values and solve.

\(N = mg - fsin\theta\\N = (5 * 9.81) - 6 sin (0)\\N = 49.05N\)

The normal force acting on the body is 49.05N

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Answer:

\(x^2-2x+1\)

Step-by-step explanation:

=> (x-1)(x-1)

Using FOIL

=> \(x^2-x-x+1\)

=> \(x^2-2x+1\)

Answer:

\(\boxed{x^2-2x+1}\)

Step-by-step explanation:

\((x-1)(x-1)\)

Apply FOIL Method.

\(x(x-1)-1(x-1)\)

\(x^2-x-x+1\)

Combine like terms.

\(x^2-2x+1\)

a. The coordinates of vertex B is (-3, -4)

b. The coordinates of vertex A' is (3,8)

What do you mean by rotation 180° about the origin?

The rotation of 180° of any coordinate or vertex about the origin means that the coordinates are rotated to the negative axis that is (x, y) >>>>(-x,-y) or (-x,-y) >>>>(x, y).

Solution:

a. Current coordinate of vertex B is (3, 4).

  After rotating it 180° it becomes B (-3 , -4)

b. After translation the coordinates of vertex A is (5-2,4+4)

Coordinates of vertex A is (3,8)

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If ΔA B C is rotated 180° about the origin, the coordinates of B' (-3, -4)

b. The coordinates of vertex A' is (3,8)

What do you mean by rotation 180° about the origin?

The rotation of 180° of any coordinate or vertex about the origin means that the coordinates are rotated to the negative axis that is (x, y) >>>>(-x,-y) or (-x,-y) >>>>(x, y).

Solution:

a. Current coordinate of vertex B is (3, 4).

 After rotating it 180° it becomes B (-3 , -4)

b. After translation the coordinates of vertex A is (5-2,4+4)

Coordinates of vertex A is (3,8)

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roll of fence = 25 ft long

fence needed = 8 yards

First, convert yards to ft

Since 1 yard = 3 ft

8 x 3 = 24 ft

He needs 24 ft of fence and has 25 ft of fence

24 < 25

He has enough

Answer:

191

Step-by-step explanation:

1) Simplify 15-6 to 9

63  + 9 x 14 + 2

2) Simplify 9 x 14 to 126

63 + 126 + 2

3) Simplify 63 + 126 to 189

189 + 2

4) Simplify

191

Answer: x=40/3

Step-by-step explanation: 12=0.9x

0.9x=12

0.9x(10)=12(10)

9x/9=120/9

x=40/3

Answer:

0.9

Step-by-step explanation:

the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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The gradient of the graph which shows the variation in the mean temperature in the Northern Hemisphere is 0.01.

The mean global temperature change between 2006 and 2009 and 2010 and 2013 is 0.05.

The gradient (or slope) of a line can be found using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

In this case, (x1, y1) = (2006, 0.61) and (x2, y2) = (2008, 0.63). Plugging these values into the formula, we get:

m = (0.63 - 0.61) / (2008 - 2006)

m = 0.02 / 2

m = 0.01

Mean temperature change = (Temperature change 2006-2009 + Temperature change 2010-2013) / 2

Mean temperature change = (0.02 + 0.08) / 2

Mean temperature change = 0.10 / 2

Mean temperature change = 0.05

The mean global temperature change between the two periods is 0.05.

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Answer:

4/9 = 1/2 x

Step-by-step explanation:  2.84 sands

Answer:

c = 3

Step-by-step explanation:

\( 32^{2c} = 8^{c + 7} \)

\( (2^5)^{2c} = (2^3)^{c + 7} \)

\( 2^{10c} = 2^{3c + 21} \)

\( 10c = 3c + 21 \)

\( 7c = 21 \)

\( c = 3 \)

For second question :

x + 3 cannot be the factor of this equation because when we divide the equation by itself, we see that the expression x + 3 is not an exact multiple of this equation, that is, it does not have a factor.

Answer:

0.0091 = 0.91% probability that their mean time is less than 9.5 minutes.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean is 10.5 minutes and the standard deviation 3 minutes.

This means that \(\mu = 10.5, \sigma = 3\)

Sample of 50:

This means that \(n = 50, s = \frac{3}{\sqrt{50}}\)

What is the probability that their mean time is less than 9.5 minutes?

This is the pvalue of Z when X = 9.5. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{9.5 - 10.5}{\frac{3}{\sqrt{50}}}\)

\(Z = -2.36\)

\(Z = -2.36\) has a pvalue of 0.0091

0.0091 = 0.91% probability that their mean time is less than 9.5 minutes.

The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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Given:

• Ray ST bisects ∠VSU

• m∠VST = (5x - 3) degrees

• m∠VSU = (9x + 3) degrees

Let;s solve for m∠VST.

Let's first sketch a figure which represents this situation:

Since ST bisects angle VSU, it means ST divides angle VSU exactly by half.

Thus, we have:

m∠VST = m∠TSU

m∠VSU = m∠VST + m∠TSU

m∠VSU = 2(m∠VST)

Now, input the terms into the equation:

Let's solve for x.

Apply distributive property to the right side of the equation:

• Subtract 10x from both sides:

• Subtract 3 from both sides:

• Divide both sides by -1:

Now, to solve for m∠VST, subsitute 9 for x in (5x - 3).

Therefore, the measure of angle VST is 42 degrees.

ANSWER:

42 degrees

\(\dfrac{x+4}{3} =7\)

Multiply both sides by 3:

\((\dfrac{x+4}{3} )\times3=(7)\times3\)

\(x+4=21\)

Subtract 4 from both sides:

\(x+4-4=21-4\)

\(\boxed{x=17}\)

By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.

In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion  \("2x + 3 = 9"\) states that the word  \("2x + 3"\) Corresponds to the number "9".

The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.

For example, in the equations \("x2 + 2x - 3 = 0\)  ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.

Abby, according to the picture, spent:

She spends 25% of her time in school.

She spends 40% of her time at work and 15% of her time on other hobbies.

Therefore, Furthermore, she spends  \(20\) of her time napping.

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Answer:

Options (A), (C) and (E)

Step-by-step explanation:

Given equation is,

-3x + 7 = -5 + x

-3x + 7 - 7 = -5 + x - 7

-3x = -5 + x - 7 Option (C)

-3x = x - 12

-3x - x = -12

-4x = -12 Option (A)

4x = 12 Option (E)

\(\frac{4x}{4}=\frac{12}{4}\)

x = 3

Therefore, Options (A), (C) and (E) are the correct options.

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Answer:

A. Must be even

Step-by-step explanation:

Even number * odd number = even number

V equals 167,47 cubic inches (rounded to two decimal places) .As a result, the cone has a volume of about 167.47 cubic inches.

A three-dimensional object or region's volume is determined by how much space it takes up in space. It is a physical measurement that conveys how much room an item or substance takes up. Depending on the measurement system being utilized, the unit of volume measurement can change. For instance, the unit of volume in the International System of Units (SI) is the cubic meter (m3), although it is measured in cubic feet (ft3) or cubic inches (in3) in the United States.

given

The following formula can be used to determine a cone's volume:

\(V = (1/3) * π * r^2 * h\)

where h is the height of the cone and r is the radius of the cone's circular base.

We may calculate the radius by dividing the circular base's 8-inch diameter by two to get the radius:

r=8/2=4 inches.

We can now change the values in the formula to:

\(V = (1/3) * \pi * 4^2 * 10\)

V = (1/3) * 3.14 * 16 * 10

V equals 167,47 cubic inches (rounded to two decimal places) .As a result, the cone has a volume of about 167.47 cubic inches.

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nAnswer:

32??? i think dont kill me if its wrong

Step-by-step explanation:

Answer:

The area of this triangle is (1/2)(9)(8) = 36.

Step-by-step explanation:

The given quadratic equation is :

\(3x^2 - 2x + 5 = 0\)

We need to solve the given equation. The formula used to solve a quadratic equation is :

\(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

We have, a = 3, b = -2 and c = 5

So,

\(x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(3)(5)}}{2(3)}\\\\x=0.333,4.667\)

Hence, this is the required solution.

Answer:

7 votos

Answer:12Step-by-step explanation:For each of the four triangles you multiply the base (2) by the height (2) and then divide it by 2 which equals 2.

We know, a number is divisible by 9 if the sum of digits is also divisible by 9.

Also, since A is an digit, so A is in between 0 to 9.

2+A+5+A+0+A+2  = 3A + 9

3A + 9 should be divisible by 9.

3A + 9 = 9n

A = (9n -9)/3

For n= 1 :

A = 0

For n=2 :

A = 3

For n= 3 :

A = 9

After this A > 9 which is not accepted.

Therefore, the digit A can be 0, 3 and 9 .

Hence, this is the required solution.

The digit A that makes 2A5A0A2 to be divisible by 99 is;

A = 3

A is a single digit and as such will be between 0 and 9.

Thus, using the principle above;

2 + A + 5 + A + 0 + A + 2  = 3A + 9

3A + 9 must be divisible by 9.

Thus;

3A + 9 = 9x

A = (9x - 9)/3

When x = 1;

A = 0

When x = 2;

A = 3

When x = 3;

A = 9

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Answer:

x= 1/2

Step-by-step explanation: 8x+3y=7

                                            -(4x+3y=5)

                                              4x=2, and you get x=1/2