The measure of angle MPO is 72°, find the measure of angle PMN.
​

Answer:

Step-by-step explanation:

10

Ws

The annual interest rate is 7.5%.

What is Simple interest?

Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.

The formula for simple interest is:

I = P × r × t

where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.

In this case, we know I = $562.50, P = $1500, and t = 5 years.

we ca substitute values into the formula,

562.50 = 1500× r ×5

Simplifying, we get:

r = 562.50 / (1500 ×5)

r = 0.075

r = 7.5%

Therefore, the annual interest rate is 7.5%.

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Answer:

4.

a.octagon

b.squertagon

c.triangle

t.b

Answer:

The problem with this question is that it is missing an important number, which is the length of the tube. Assuming that the tube is 10 meters long (=1,000 centimeters long)

time (in        distance traveled         distance traveled       distance

seconds)     by particle A in cms     by particle B in cms    between both

                                                                                              particles in cms

1                               97                            49                     854

2                               93                            47                     714

3                               89                            45                     580

4                               85                            43                     452

5                               81                            41                     330

6                               77                            39                     214

7                               73                            37                     104

8                               69                            35                     0

After 8 seconds both particles should meet. Particle A traveled 664 centimeters and particle B traveled 336 centimeters.    

Answer:

To find 29% of 150, we can first express 29% as a decimal by dividing 29 by 100. 29% is the same as 0.29.

Then, we multiply 0.29 by 150 to find the answer:

0.29 * 150 = 43.5

So, 29% of 150 is equal to 43.5.

Here's the work:

29% * 150 = 0.29 * 150 = 43.5

\(\huge\text{Hey there!}\)

\(\mathsf{29\%\ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \times 150}\)

\(\mathsf{= \dfrac{29}{100} \times \dfrac{150}{1}}\)

\(\mathsf{= \dfrac{29(150)}{100(1)}}\)

\(\mathsf{= \dfrac{4,350}{100}}\)

\(\mathsf{= \dfrac{4,350 \div 50}{100 \div 50}}\)

\(\mathsf{= \dfrac{87}{2}}\)

\(\mathsf{= 43 \dfrac{1}{2}}\)

\(\mathsf{= 43.5}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{\dfrac{87}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43 \dfrac{1}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43.5}}\huge\checkmark\)

\(\large\text{Either of those should work because they are all equivalent to each}\\\large\text{other}\uparrow\)

\(\huge\text{Good luck on your assignment \& enjoy your day! }\)

Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Answer:

0.90

Step-by-step explanation:

Just like a decimal to a percentage number, you must multiply by 100. By converting a percentage number to a decimal point, you must divide it by 100. Which means, the decimal must move 2 times.

For example,

0.90 x 100 = 90%

This is decimal to percentage number, but in this case it is percentage to decimal.

90%.

Since the number ended at 0, put the decimal there and move it 2 times to get to your decimal point.

.90 = 0.90

There you'll get your answer! ^^

90% = 0.90

Answer:

\(-0.78 > -\dfrac{5}6 ~~ \text{or}~~-0.78> -0.8\overline 3\)

Step-by-step explanation:

Answer:

-0.78

Step-by-step explanation:

-0.78 and -0.83 With negative you always choose the smaller number because it is closer to 0 or the postive numbers. This makes me pretty sure it is -0.78 correct me if I am wrong.

Go shop Quelenasboutique on Esty!

Answer:

The total cost of adding wallpaper to the room is $487.20

Step-by-step explanation:

Basically, how I got the answer is:

1. The shorter sides of the rectangle are 12 and the longer sides are 14.

2. The formula for a rectangle is A = l x w. The "l" means length and the "w" means width. 14 is the length and 12 is the width. So you should now have A = 14 x 12. If you multiply 14 by 12, you will get 168.

3. Since 1 square foot of carpet costs $2.90, then you should multiply by 168, which will give you $487.20 and that's pretty much it.

Hope this helps! :)

The total cost of adding wallpaper to the room by Mr. Hawkins is $487.20.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given that the shape of the wall that Mr. Hawkins covering with wallpaper is rectangular.

The formula to find the area of a rectangular shape is,

Area of a rectangular shape = Length × Width

Given that,

Length of the wall = 14 feet

Width of the wall = 12 feet

Substituting the given measurements to the formula, we get,

Area of the wall = 14 × 12 = 168 feet²

Also, given that,

Cost for each square foot of wall = $2.90

Cost for 168 square feet = $2.90 × 168

                                        = $487.20

Hence the total cost for adding wallpaper to the room is $487.20.

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A line has a slope of –9 and includes the points (–7,u) and (9,9).

The value of u is 153.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

A line has a slope of –9 and includes the points (–7,u) and (9,9).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

-9 = (9 - u)/(9 + 7)

-9 = (9- u)/16

9 - u = -144

u = 153.

Therefore, the value of u is 153.

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Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

\(\huge\textsf{Hey there!}\)

\(\large\text{19, 31, 15, 50, \& 20}\)

\(\large\text{When you see or hear the word \underline{median}, think of the question}\\\large\text{asking you \bf what is the MIDDLE NUMBER.}\large\text{To find the}\\\large\text{middle number you have to put the numbers from descending}\\\large\text{(least/decreasing) or ascending (greatest/increasing) order}\)

\(\large\text{15, 19, 20, 31, \& 20}\)

\(\large\text{Make sure it is even on BOTH SIDES of the DATA SET}\)

\(\large\text{It seems to be even on both sides of the number \bf 20}\large\text{ so \underline{20}}\\\large\text{can be your median/middle number in this given set}\)

\(\boxed{\boxed{\huge\textsf{Answer: the median is \bf 20}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}\)

Explanation:

The first card isn't put back or replaced, so we have 52-1 = 51 cards left over.

We have 4 queens and 52-4 = 48 non queens.

The probability of picking something that isn't a queen on the second selection is 48/51 = 16/17

Answer:

-7/15

Step-by-step explanation:

Find GCF of both denominators

GCF: 15

Multiply 5 to -2 in -2/3 and 3 to 1 in 1/5

This gives you -10/15 + 3/15

Solve

-7/15

Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

The partial sum of the sequence {2, 3, 5, 8, 13, ...} for the first 8 terms is 761/2.

The sequence given is a Fibonacci sequence, where each term is the sum of the previous two terms. To find the partial sum for the first 8 terms, we can use the formula for the sum of a finite geometric series:

Sₙ = a(1 - rⁿ)/(1 - r),

where Sₙ is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = 2, r = 3/2 (since each term is 1.5 times the previous term), and n = 8. Plugging these values into the formula, we get:

S₈ = 2(1 - (3/2)⁸)/(1 - (3/2))

Simplifying the expression, we get:

S₈ = 761/2

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Answer:

E. 38°

Explanation:

A rhombus has 360° interior angle.

Half of the other side has 180° angle.

Solve for x:

sum of interior angles = 180°

x + 14 + x + 14 + x + x = 180°

4x + 28° = 180°

4x = 180° - 28°

4x = 152°

x = 152°/4 = 38°

Sum of half interior angles=180°

So

Option E

The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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Answer:

5

Step-by-step explanation:

Answer:

The median is the middle number; found by ordering all data points and picking out the one in the middle.

You want to put the numbers in order:

47, 49, 49, 50, 52, 57, 57, 57, 61

Then you go one number at a time from both ends until you get into the middle:

47, 49, 49, 50, 52, 57, 57, 57, 61

47, 49, 49, 50, 52, 57, 57, 57, 61

47, 49, 49, 50, 52, 57, 57, 57, 61

47, 49, 49, 50, 52, 57, 57, 57, 61

47, 49, 49, 50, 52, 57, 57, 57, 61

So the answer is 52.

Tip: when you do this and you are left with two numbers that are in the middle, add them and divide them by 2.

Answer:

52

Step-by-step explanation:

Arrange your numbers in numerical order.

Count how many numbers you have.

47, 49, 49, 50, 52, 57, 57, 57, 61

Median = Middle

52 is the number in the middle

We know that \(\log_a(bc)=\log_a(b)+\log_a(c)\).

Using this rule,

\(\log_c(A^5B^3)=\log_c(A^5)+\log_c(B^3)\).

We also know that \(\log_c(a^b)=b\log_c(a)\).

Using this rule,

\(\log_c(A^5)+\log_c(B^3)=5\log_c(A)+3\log_c(B)\)

Now we know that \(\log_c(A)=2,\log_c(B)=5\) so,

\(5\cdot2+3\cdot5=10+15=\boxed{25}\).

Hope this helps :)

Answer:

12

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

The 7 is in the 10s place so its value would be 70

The 7 is in the tens place, so it represents 70

1379 = 1000 + 300 + 70 + 9

1379 = 1*1000 + 3*100 + 7*10 + 9*1

1379 = 1*10^3 + 3*10^2 + 7*10^1 + 9*10^0

The solution of inequalities is  y≤\(\frac{1}{2}\)x +2 and y> 2x-1.

What is inequality?

The term "inequality" is used in mathematics to describe a relationship between two expressions or values that is not equal to one another. Inequality results from a lack of balance. When two quantities are equal, we use the symbol '=', and when they are not equal, we use the symbol. If two values are not equal, the first value can be greater than (>) or less than (), or greater than equal to () or less than equal to ().

Here the given inequalities is x-2y≥-4 and 2x-y<1.

=>  x-2y+4≥-4+4   and   2x-y +(-1)<1-1

=> x-2y+ 4 ≥ 0 and 2x-y-1<0

=> 2y ≤x+4 and y > 2x-1

=> y≤\(\frac{1}{2}\)x +2 and y> 2x-1

Hence the solution of the inequalities is  y≤\(\frac{1}{2}\)x +2 and y> 2x-1.

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Mr. X reduces his weight in a ratio of 4:17. This means that for every 4 units of weight he loses, his initial weight was divided into 17 equal parts.

To determine the ratio by which Mr. X reduces his weight, we need to compare his initial weight of 85 kg with his target weight of 65 kg.

The reduction in weight is calculated as the difference between the initial weight and the target weight, which in this case is 85 kg - 65 kg = 20 kg.

The ratio can be expressed as a fraction, where the numerator represents the reduction in weight and the denominator represents the initial weight:

Reduction in weight / Initial weight

Substituting the values, we have:

20 kg / 85 kg

Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case:

(20 kg / 5) / (85 kg / 5) = 4/17

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Number of cheesecakes | Number of blocks of cream cheese

Cheesecakes         Blocks of Cream Cheese

      6                                   60

     12                                   120

     18                                   180

     24                                   240

     30                                   300

The table above represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses. It shows that for every 60 blocks of cream cheese, the bakery can make 6 cheesecakes, and as the number of blocks of cream cheese increases, the number of cheesecakes the bakery can make also increases in multiples of 6.

If the bakery can make 6 cheesecakes for every 60 blocks of cream cheese, we can set up a proportion to find out how many cheesecakes they can make using 90 blocks of cream cheese:

6 cheesecakes / 60 blocks of cream cheese = x cheesecakes / 90 blocks of cream cheese

To solve for x, we can cross-multiply:

6 cheesecakes * 90 blocks of cream cheese = 60 blocks of cream cheese * x cheesecakes

540 cheesecakes = 60x

Dividing both sides by 60, we get:

x = 9 cheesecakes

Therefore, the bakery can make 9 cheesecakes using 90 blocks of cream cheese.

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Answer:

my life doesn't make sense

Step-by-step explanation:

Answer:

-22.5

Step-by-step explanation:

-5 divided by 6 is 0.8333 (repeated/round to 0.8) 0.8333 (repeated) times 27 is -22.5 (-22 1/2)

Hope this helps you! :D

Answer:

Step-by-step explanation:

You want the area and volume ratios when two figures have a similarity ratio of 2 : 7.

The ratio of areas is the square of the similarity ratio:

  2² : 7² = 4 : 49

The ratio of volumes is the cube of the similarity ratio:

  2³ : 7³ = 8 : 343

__

Additional comment

It can help to think about the units of area and volume. For linear dimensions in inches, area dimensions are in square inches, and volume dimensions are cubic inches. Any ratio of inches will be squared when those inch dimensions are used for area, and will be cubed when volume is computed.

  side length of a square or cube: smaller: 2", larger: 7"

  area of the square: smaller: 2² in², larger: 7² in² or 4 in² and 49 in²

  volume of the cube: smaller: 2³ in³, larger: 7³ in³ or 8 in³ and 343 in³

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