Please give me an answer with an explanation.

Answer:

x=50° and y=45°

Step-by-step explanation:

x=QU(90°)-QP(40°)

x=50°

y=SU(90°)/2

y=45°

Answer:

option 4

Step-by-step explanation:

\(m \angle MNO = \frac{1}{2} \times m MN\\\\\)

              \(= \frac{1}{2} \times 150 \\\\= 75^ \circ\)

The correct option is the Measurement and Comparison strand.

When families play "fill and dump" activities and explore large and small objects with children, they are likely extending learning in the Measurement and Comparison strand of the mathematics curriculum. This strand involves understanding and using concepts of size, weight, capacity, and length to compare, measure, and describe objects and events. Activities like filling and dumping containers of different sizes and comparing the quantities of objects can help children develop their understanding of these concepts and their ability to compare and measure objects.

The Number and Quantity strand involves understanding and using numbers and number concepts to count, compare, and describe quantities. The Geometry and Spatial Thinking strand involves understanding and using geometric concepts and spatial reasoning to describe, analyze, and compare shapes and spatial relationships. The Mathematical Reasoning strand involves using logical thinking and problem-solving skills to make sense of mathematical ideas and solve problems. All of these strands are important for children's overall mathematical development and can be supported through a variety of activities and experiences.

Answer:

15 shirts

Step-by-step explanation:

Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same

A: 12.5 + 0.40x

B: 14.75 + 0.25x

12.5 + 0.40x = 14.75 + 0.25x

subtract 12.5 from both sides:

12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5

0.40x = 2.25 + 0.25x

subtract 0.25x from both sides:

0.40x - 0.25x = 2.25 + 0.25x - 0.25x

0.15x = 2.25

divide both sides by 0.15:

0.15x/0.15 = 2.25/0.15

x = 15

EXPLANATION

The percentage of error is given by the following formula:

%Error = (Accepted value - experimental value)/Accepted value

We have that:

Accepted value = 17.7

Experimental value = 18.4

Substituting terms:

%Er

Answer:4%

Step-by-step explanation:Percent Error=

actual

∣experimental−actual∣

​

×100

The formula

∣

18.4

−

17.7

∣

17.7

×

100

17.7

∣18.4−17.7∣

​

×100

Plug in values

∣

0.7

∣

17.7

×

100

17.7

∣0.7∣

​

×100

Subtract

0.7

17.7

×

100

17.7

0.7

​

×100

Take the absolute value

0.039548

×

100

0.039548×100

Divide

3.9548

3.9548

Multiply by 100

4

%

4%

We follow the inclusive rule, The answer to the question is (A) that is

if y>=10 and y <=50

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number you may imagine is a real number.

The intervals used are:

(a , b) , All the numbers between a & b without including them.

[a, b] , All the numbers between a & b including them.

y lies in [10,50].

And since it means that it includes 10 and 50 and all the numbers between them.

The final answer is (A) that is if y>1=10 and y <=50.

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Percentile 15  

z-Score -1.036

The value of x in the chord of the circle using the chord-chord power theorem is 0.

The chord-chord power theorem simply state that "If two chords of a circle intersect, then the product of the measures of the parts of one chord is equal or the same as the product of the measures of the parts of the other chord".

From the figure:

The first chord has consist of 2 segments:

Line segment 1 = 27

Line segment 2 = ( x + 16 )

The second chord also consist of 2 sgements:

Line segment 1 = 24

Line segment 2 = ( x + 18 )

Now, usig the Chord-chord power theorem:

27( x + 16 ) = 24( x + 18 )

Solve for x:

27x + 432 = 24x + 432

27x - 24x = 432 - 432

3x = 0

x = 0

Therefore, the value of x is 0.

Option D) 0 is the correct answer.

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The side x of the triangular base prism is 0.4 centimetres.

The diagram above is a triangular prism. The triangular base of the prism is a right triangle. Therefore, the unknown side x can be found using Pythagoras's theorem,

c²= a² + b²

where

Therefore,

x² = 0.5² - 0.3²

x² = 0.25 - 0.09

x = √0.16

x = 0.4 cm

Therefore,

x = 0.4 centimetres.

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Answer:

Step-by-step explanation:

Answer:

21 miles

Step-by-step explanation:

1.5+2+1.75=5.25 but since it says total miles in 4 weeks

The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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Answer:

Concept: Depreciation

Answer:$21900

Step-by-step explanation:

Answer:

Thus, for making installment payments, the credit card holder incurred the additional cost of Option D.

Step-by-step explanation:

The credit card holder paid an additional D. $559.56 over the 12 months versus paying the balance in full before the end of the first month.

How is the additional payment determined?

The additional payment made by the credit card holder results from paying installments instead of clearing the balance in the first month.

Installment plans attract finance charges at an annual percentage rate (APR), which increases the total amount paid.

Therefore, the additional payment is the difference between the total installment payments and the credit card balance at the beginning of the first month.

N (# of periods) = 12 months

I/Y (Interest per year) = 11.99%

PV (Present Value) = $6,299.59

PMT (Periodic Payment) = $-350

Results:

FV = $3,009.15

Sum of all periodic payments = $3,850 ($350 x 11)

Total Interest = $559.57

The total amount paid over the 12 months = $6,859.15 ($3,009.15 + $3,850)

The total amount paid in full in the first month = $6,299.59

Additional payment made via installments = $559.56 ($6,859.15 - $6,299.59)

Thus, for making installment payments, the credit card holder incurred the additional cost of Option D.

The t statistic used to determine whether the slope is significant is 6.709 when applying regression analysis to sales data (in $1,000s) and advertising data (in $100s).

Given that,

The following information was discovered after applying regression analysis to sales data (in $1,000s) and advertising data (in $100s).

y=12+1.8x

n=17

SSR=225

SSE=75

S₀₁=0.2683

We have to find what is the t statistic used to determine whether the slope is significant.

We know that,

Given by, the t test is used to determine whether the slope is significant.

t= b1/s.e

Where b1= slope of the given regression line

s.e= standard error of the line ( Sb1)= 0.2683

The regression line is given by

Y=12+1.8X

X is the independent variable here, and Y is the dependent variable.

Intercept = 12

Slope = 1.8

The t test is used to determine whether the slope is significant.

t= b1/s.e=1.8/0.2683= 6.7089=6.709

Therefore, The t statistic used to determine whether the slope is significant is 6.709 when applying regression analysis to sales data (in $1,000s) and advertising data (in $100s).

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Answer:

1

Step-by-step explanation:

1.  One way to do this is converting both into improper fractions.  To do this, multiply the whole number by the denominator and add that to the numerator.

2 3/5 --> 2*5 is 10 --> 10+3 is 13.  --> 13/5

2.  This leaves us with 13/5 - 8/5

3.  Subtract the numerators

13/5 - 8/5 = 5/5

4.  Simplify.  If the numerator is the same number as the denominator, it's a whole number.

5/5 = 1

Answer:

As = 256\(\pi\) or 804.25cm

Step-by-step explanation:

By formula As = \(4\pi r^{2}\)

As = 256\(\pi\) or 804.25cm

Answer:

The ratios are proportional ratios

Answer:

Step-by-step explanation:

The ratios are proportional

\(\dfrac{5}{12}=\dfrac{5*2}{12*2}=\dfrac{10}{24}\)

Step-by-step explanation:

the square root of 5 can be written as 5 ^ (1/2).

We can then multiply the exponents, so it's 9/2.

So the answer could be written as 5 ^ (9/2).

Answer:

Step-by-step explanation:

To find the coterminal angle with 887, we can add or subtract any multiple of 360°.

Adding a multiple of 360°:

887 + n(360)

where n is an integer.

Subtracting a multiple of 360°:

887 - n(360)

where n is an integer.

To find the angle between -0° and -36°, we need to subtract a multiple of 360° from 887 to get an angle between -0° and -36°.

887 - n(360) = -x

where x is the angle between -0° and -36°.

We can solve for x:

x = 887 - n(360)

We want x to be negative, so we need to choose a value of n such that 887 - n(360) is less than 0.

If we set n = 3, then:

x = 887 - 3(360) = 47

So, the angle between -0° and -36° that is coterminal with 887 is 47 degrees.

Answer:

9 cups = 21.2929 deciliters

Step-by-step explanation:

Hope this helps!

The percentage of people taking the test who score above 654 is 15.87%

From the question, we have the following parameters that can be used in our computation:

Mean = 550

Standard deviation = 104

Score = above 654

The z-score is calculated as

z = (Score - Mean)/Standard deviation

Substitute the known values in the above equation, so, we have the following representation

z = (654 - 550)/104

Evaluate

z = 1

The percentage of people taking the test is then calculated as

P = p(z > 1)

So, we have

P = 0.15866

Express as percentage

P = 15.87%

Hence, the percentage is 15.87%

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Answer:

A

Step-by-step explanation:

For a right triangle

\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)

This is the same as the other triangle because they are the same size because of congruency

Area of the rectangle

\(a^2+b^2=c^2\\\)

\(\sqrt{(10.4^2+15.3^2} =c\)

\(c= 18.5\)

18.5 x 7 = 129.5

Add them all up

129.5+79.56+79.56= 288.62

La ecuación cuadrática y² - 8 es una diferencia de cuadrados, cuya forma es (y + 2√2) · (y - 2√2).

Tenemos una ecuación cuadrática de la forma y² - a², donde a es un número real. Según el álgebra de los números reales, esta expresión si corresponde a una diferencia de cuadrados, definida a continuación:

y² - a² = (y + a) · (y - a)

Si tenemos a² = 8, entonces a = √8 = 2√2 y se tiene la siguiente expresión:

y² - 8 = (y + 2√2) · (y - 2√2)

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Answer:

not equivalent

equivalent

not equivalent

Step-by-step explanation:

25 is by itself already 5²

therefore

\( {25}^{m} = {5}^{2m} \)

when we divide one time by 5, we simply take away 1 from the power making it

\( {5}^{2m - 1} \)

the other options are wrong

\( {25}^{m - 1} \)

would be right, if we have

\( {25}^{m} \div 25\)

but we don't.

and

\( {25}^{2m - 1} \)

would even square

\( {25}^{m} \)

and then divide by 25. no, the original excision is nothing like that.

The current market price for the bond is $870 the yield to maturity is 14.13%

The approximate yield to maturity of this bond is 11.25%, which is above the annual coupon rate of 10% by 1.25%. You can then use this value as the rate (r) in the following formula: C = future cash flows/coupon payments. r = discount rate (the yield to maturity)

knowing that:

the formula is:

\(P = (C / (1 + r))^1 + (C / (1 + r))^2 + ... + (C + F) / (1 + r)^n\)

Putting the values:

\($870 = (130 / (1 + r))^1 + (130 / (1 + r))^2 + ... + (130 + 1,000) / (1 + r)^13\)

Using the math we find that the percentage is  approximately 14.13%;

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