If m1 + m3 = 151°, what is m2?
A.
153°
B.
29°
C.
32°
D.
119°

Answer:

B (22%) is the answer.

Skills needed: Financial Math, Percentage Computations

Step-by-step explanation:

1) First, let's calculate the cost of the extended warranty. That would be the new price minus the old price.

    - This is due to the fact that the new price is phone + warranty, while the old price is just the phone.

    - So \(\text{new price } - \text{old price} = 289-225=64\)...warranty=64$

2) The warranty is 64 dollars. To find out what percent of the cost it takes up, we do \(\frac{warranty}{totalprice}\) --> In this case, the \(totalprice\) is the new price, since the warranty is included in this price.

    - Our fraction would be: \(\frac{64}{289}\)

    - Divide this out, you get a decimal of: 0.2214...

    - To get a percent, multiply by the decimal by 100, and it is \(22.14\)%

22.14 rounds to 22, so 22% is the answer, and that is b.

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A) 28% not B.

Step-by-step explanation:

Answer:

67.3684% or 67%

Step-by-step explanation:

percent increase = 100 X (final amount-initial amount)/(initial amount)

so

percent increase = 100 X (159-95)/95

159 - 95 = 64

64/95 = 0.6736842105263158

0.6736842105263158 X 100 = 67.36842105263158

Answer:

67% increase

159 is 167% of 95, which means this is a 67% increase.

Step-by-step explanation:

For no.4

m= -2/3

x=-60

y=10

now

y=mx+b

or,

10=-2x/3+b

or, 30=-2(-60)+3b

or, 30 = 120+3b

or,

3b = -90

so, b = -30

now

y=mx+b

or, y = -2x/3-30

for no.4 the equation would be

y = -2x/3 - 30

Answer:

Every number on the left is multiplied by 8 to equal the number on the right.

Step-by-step explanation:

Answer:

year 2 = 136

year 3 = 182

year 6 = 228

year 7 = 251

Answer:

Square root2 /3

Step-by-step explanation:

1. Multiply both numerator and denominator by square root of 2.

2. Square root 2 times itself is just 2 that so denominator is 5-2

3. 1 times Square root 2 is just Square root 2. So numerator is Square root 2

4. 5-2=3 so final answer is Square root 2 over 3

Answer:

Step-by-step explanation:

The table when completed looks like this:

x -2 -1 0 1 2

f(x) 4 2 1 2 4.

The graph is provided in the attachment.

A function is a relation between a dependent variable (say f(x) ) and an expression of an independent variable (say x), used to determine the value of a dependent variable from a given value of an independent variable.

We have been given a function,

\(f(x) = \left \{ {{\frac{1}{2}^{x} , x \leq 0} \atop {2^{x}, x > 0 }} \right.\)

We are asked to determine the value of f(x) when x = {-2, -1, 0, 1, 2}

For  the values of x ≤ 0, we will take f(x) = (1/2)ˣ.

∴ f(-2) = (1/2)⁻² = 2² = 4

f(-1) = (1/2)⁻¹ = 2¹ = 2

f(0) = (1/2)⁰ = 1

Now, for the values of x > 0, we take f(x) = 2ˣ

∴ f(1) = 2¹ = 2

f(2) = 2² = 4

We can design the table now as

x -2 -1 0 1 2

f(x) 4 2 1 2 4.

We plot these points on the graph: (-2, 4), (-1, 2), (0, 1), (1, 2), (2, 4).

The graph is attached.

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Answer:

yes, y=2x-3 is linear

2x - y = 3  Standard Form

Step-by-step explanation:

since both the 'x' and 'y' variables have one as their exponents then this represents a linear equation

standard form: Ax + By = C

y = 2x - 3

subtract 2x from each side to get:

-2x + y = -3

divide each term by -1 to get (this is done so the leading coefficient is not negative)

2x - y = 3  Standard Form

Answer:

Yes, it's a linear equation. The standard form is 2x - y = 3.

Step-by-step explanation:

The equation y = 2x - 3 is in slope-intercept form. Slope-intercept form applies to linear equations/functions.

To convert slope-intercept into standard:

1. Subtract 2x from both sides.

2. Multiply everything by -1.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

 ~ ren ⚘

Answer:

Step-by-step explanation:

The second is a Uniform distribution with a minimum value of 50 and a maximum value of 100, where all values have equal frequencies.

Frequency distribution is a statistical representation of the number of occurrences of each value in a set of data. Let's consider the given set of values and describe two types of distributions for it.

Distribution Type 1: Normal Distribution with mean = 75 and standard deviation = 25.

This distribution follows a bell-shaped curve that is symmetric around the mean value of 75. The standard deviation of 25 indicates that the data is spread out with a moderate amount of variability. The highest frequency occurs at the mean value of 75, and as we move away from the mean in either direction, the frequency gradually decreases. The distribution provides information about how the values are distributed around the mean.

Distribution Type 2: Uniform Distribution U[50, 100].

This distribution is characterized by a rectangular shape, where all values have the same frequency. In this case, the minimum value is 50, and the maximum value is 100, resulting in a range of 50. The frequencies are uniform throughout the distribution, meaning that each value has the same frequency. In this case, since there are seven values in the set, each value has a frequency of 1/7.

To summarize, the given set of values can be represented by two different distributions. The first is a Normal distribution with a mean of 75 and a standard deviation of 25, which shows the overall pattern and spread of the data.

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Answer:

Random samples are more likely to contain data that can be used to make predictions about a whole population. The size of a sample influences the strength of the inference about the population.

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

Vertical x= -5, x= -3, Horizontal y=3x-4 (slant)

Answer:

3（x-10) (x-2)

Step-by-step explanation:

3x² - 36x+60

3(x² - 12x+20)

Answer:

the slope and m is 2 and the y intercept is 4

Step-by-step explanation:

Remember y=mx+b

Answer:

2nd chioce

Step-by-step explanation:

Answer: Simplify:

"The sum of m and 3" => m + 3

"[the whole] divided by" => (m + 3)/

"The difference of m minus 3" => m - 3

(m + 3)/(m - 3) is your answer

Answer:

25, 5

Step-by-step explanation:

The given statement: n(n+1)(2n+1) is divisible by 6 for all positive integers n.

Step-by-step explanation: We need to prove that n(n+1)(2n+1) is divisible by 6 for all positive integers n using mathematical induction.

Step 1: First, lets prove the statement for the smallest possible value of n. The smallest value of n is 1. So, let's check whether the given statement is true for n = 1 or not.

\(LHS = 1(1+1)(2*1+1) = 6\)

It is divisible by 6. Hence, the statement is true for n=1.

Step 2: Let's assume that the statement is true for n=k. So, we can say that n(n+1)(2n+1) is divisible by 6 for n=k. i.e., n(n+1)(2n+1) = 6a (for some integer a).

Step 3: We need to prove the statement is true for n=k+1.

So, we need to prove that (k+1){(k+1)+1}[2(k+1)+1] is divisible by 6

Using the assumption we made in step 2.

\(LHS = (k+1){(k+2)}[2k+3] = (k+1)(k+2)(2k+3)LHS = (2k+3)k(k+1)(k+2)LHS = 2[k(k+1)(k+2)] + 3[k(k+1)]\)

Now, k(k+1)(k+2) is divisible by 6 using the assumption made in step 2.

So, LHS = 2[k(k+1)(k+2)] + 3[k(k+1)] is also divisible by 6.

Hence, the statement is true for n=k+1.

Step 4: Using steps 1 to 3, we can say that the given statement is true for n=1 and if it is true for n=k, then it is also true for n=k+1.

Hence, by mathematical induction, we can say that the statement is true for all positive integers n.

Hence, it is proved that n(n+1)(2n+1) is divisible by 6 for all positive integers n.

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Answer:

X=13

Step-by-step explanation:

Answer:

To find the area of a triangle, we can use the formula:

Area = (base * height) / 2

To find the area of triangle ABC, we first need to find the base and the height.

Since angle B is 75 degrees, we can use the fact that the sum of the angles in a triangle is 180 degrees to find the measure of angle A: 180 - 75 - 90 = 15 degrees.

Then, we can use the fact that the measure of an angle in a triangle is proportional to the length of the side opposite that angle to find the length of side AC:

AC/AB = m∠A/m∠B

AC = (m∠A/m∠B) * AB

Substituting, we get:

AC = (15/75) * 12 = 3

Now that we know the base and the height of the triangle, we can use the formula to find the area:

Area = (3 * 12) / 2 = 18

Therefore, the area of triangle ABC is 18 square cm.

1. Desk: Estimate around 70 centimeters.
2. Whiteboard: Estimate around 120 centimeters.
3. Bookshelf: Estimate around 150 centimeters.

In the classroom, you can find three items that are longer than 10 centimeters and smaller than 100 centimeters.

To find three items in the classroom that fit the given criteria, you can think of common objects that are larger than 10 centimeters and smaller than 100 centimeters. Some examples include desks, whiteboards, and bookshelves. By estimating their lengths, we can approximate their sizes within the given range.

The estimates provided are just rough approximations to give you an idea of their lengths.

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Answer:

All solutions

Step-by-step explanation:

Move the y from one side onto the other

-2x+ y= -1

+2x       +2x

y= 2x -1

4x- 2(2x- 1)= 2

4x- 4x+ 2= 2

0= 0

All solutions

The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.

The equation of a circle with centre (a,b) and radius r is given by (x-a)^2 + (y-b)^2 = r^2.

C1 has centre (0,0) and radius 2, so its equation is (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4.

C2 touches the x and y axes each in one point, so it must have a centre on the line y=x and a radius equal to the distance from the centre to either of those points of tangency. Since the centre of C2 is on the line y=x and it is in the first quadrant, the coordinates of the centre are (1,1). The distance from the centre to the point of tangency on the x-axis is 1, so the radius is 1. The equation of C2 is (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.

Therefore, The equations of the two circles are (x-0)^2 + (y-0)^2 = 2^2 or x^2 + y^2 = 4 and (x-1)^2 + (y-1)^2 = 1^2 or (x-1)^2 + (y-1)^2 = 1.

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Answer:

942.5 cm3

Step-by-step explanation:

Answer:

94%

Step-by-step explanation:

First you multiply 188 to 100, which is 18800. Then you divide that with 200. The number you get is your answer.

?/100 = 188/200 The ? is the percentage.

The equation of the parabola using vertex form in the graph is given as; y = (-19/9)(x + 3)².

For the given question;

The curve on the graph in the vertex form is defined by the the equation;

y = a( x – h) 2 + k

Where, (h,k) are the vertex of the curve.

From the graph.

Vertex (h,k) = (-3, 0)

Point = (x, y) = (0, -19)

Put the values in the curve.

y = a( x – h)² + k

-19 = a( 0 – (-3))² + 0

Solving.

a = -19/9

Now, the put the value of a in the equation of parabola.

y = (-19/9)(x + 3)² + 0

y = (-19/9)(x + 3)²

Thus, the equation of the parabola in the graph is given as; y = (-19/9)(x + 3)².

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Answer:

5x+3y-1475=0

Step-by-step explanation:

if this helps please mark brainliest <3

Answer:

the answer is 42

Step-by-step explanation:

12-6+(14-8)^2

12-6(6)^2

12-6+36

=42

Answer:20

Step-by-step explanation:

y=1/2x+10

1/2x=y-10

x=2y-20

y=2x-20