In cashing a check for $220, Christina asked for the whole amount in $10 and $20 bills. She received a total of 13 bills, four of them being $10 bills.
O True
O False

The measure of the reference angle for a -287° angle is 17°.

To measure of the reference angle for a -287° angle

1. Determine the quadrant: First, we need to identify the quadrant in which the angle -287° lies.

  - In the standard coordinate plane, angles between 0° and 90° are in the first quadrant, between 90° and 180° are in the second quadrant, between 180° and 270° are in the third quadrant, and between 270° and 360° are in the fourth quadrant.

  - Since -287° falls in the third quadrant, we know that the reference angle will be found in the first quadrant.

2. Find the corresponding acute angle: To find the reference angle, we need to find the acute angle that has the same trigonometric values as the given angle.

  - To do this, we can add 360° to the given angle (-287° + 360° = 73°). This gives us an equivalent positive angle in the same position.

3. Determine the reference angle: Now that we have the positive equivalent angle (73°), we can find the reference angle by subtracting it from 90° (90° - 73° = 17°).

Therefore, the measure of the reference angle for a -287° angle is 17°.

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Answer: First One.

Step-by-step explanation: The first and last options are acceptable, since a line of best fit needs to be as close to all the points as possible (ignoring any anomalies/outliers) but in an exam question the first line of best fit looks slightly better.

Answer:

42.92

Step-by-step explanation:

Answer:

14 miles

Step-by-step explanation:

If 600 pounds of the material are initially put into the vault, then 252.3784 pounds will be left after 100 years.

The given function is

A=A(0)e ^{−0.00866x}

, where x is the number of years since the material was put into the vault.

If 600 pounds of the material are initially put into the vault, then we have to find how many pounds will be left after 100 years.

The function is A=A(0)e ^{−0.00866x}.

where A(0) is initial material in pounds i.e. A(0)=600 and x is the number of years i.e. x=100. So

A = 600*e ^{−0.00866*100}

A = 600*e ^{−0.866}

A = 600*0.4206

A = 252.3784

Hence, if 600 pounds of the material are initially put into the vault, then 252.3784 pounds will be left after 100 years.

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The right question is:

Solve the problem. The function

A=A(0)e ^{−0.00866x}

models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 600 pounds of the material are initially put into the vault, how many pounds will be left after 100 years?

Answer:

6.00$

Step-by-step explanation:

43.27 rounds down to 40.00.

15% of 40.00 is 6.00

For the given scenario, the distance traveled by the first car after t seconds is 10t^2+50t meters, while the distance traveled by the second car is not provided. Therefore, the exact distance between the two cars cannot be determined without additional information.

To find the distance between the two cars, we need to know the distance traveled by the second car after t seconds. Without this information, we cannot determine the distance between the two cars at any given time. However, we can make some general observations about the situation.

If the second car travels a greater distance than the first car, the distance between the two cars would increase over time. Conversely, if the second car travels a shorter distance than the first car, the distance between them would decrease over time. Additionally, if the second car travels the same distance as the first car, the distance between the two cars would remain constant.

In conclusion, without knowing the distance traveled by the second car, we cannot determine the exact distance between the two cars at any given time. However, we can make some general observations about the situation based on the relative distances traveled by the two cars.

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Answer:

(30, 0) and (0, 50)

Step-by-step explanation:

( 0 , y ) are coordinates of y-intercept.

( x , 0 ) are coordinates of x-intercept.

25x + 15y = 750

25(0) + 15y = 750 ⇒ y = 50

( 0 , 50 ) are coordinates of y-intercept.

25x + 15(0) = 750 ⇒ x = 30

( 30 , 0 ) are coordinates of x-intercept.

The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.

To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.

76 rounds to 80   since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5

So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230

To find the actual sum of the numbers, we simply add them together without rounding:

76 + 6 + 25 + 5 + 10 + 87 = 209

The complete question is: 76. 6 25. 5 10. 87 =

What was Sela's estimate and what is the actual sum of the number?

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Answer:

A. 23×10^3

B. 11×10^4



Your answer would be B, 11x10^4.

Step-by-step explanation:

To find your answer you can evaluate each equation and compare your answers.

A:

10^3 = 1,000

23•1,000 = 23,000


B:

10^4 = 10,000

11•10,000 = 110,000

End Result:

110,000 > 23,000

Therefore your answer would be choice B.








Have a great rest of your day.

From the one and only,
Mr. Universe

Answer:

A:

10^3 = 1,000

23•1,000 = 23,000

10^4 = 10,000

11•10,000 = 110,000

110,000 > 23,000

Answer: 1.8 temperature change each day

Step-by-step explanation:

5.4 ÷ 3 = 1.8

1.8 = Average temperature change for each day.

Answer:

112

Step-by-step explanation:

Let's consider a large circle with a radius of 10 units and a smaller circle with a radius of 5 units, both centered at the same point.

To find the probability that a randomly chosen point inside the large circle will also be inside the smaller circle, we can compare the areas of the two circles.

The area of the large circle is given by:

\(\(A_{\text{large}} = \pi \times \text{radius}_{\text{large}}^2 = \pi \times 10^2 = 100\pi\)\)

The area of the smaller circle is:

\(\(A_{\text{small}} = \pi \times \text{radius}_{\text{small}}^2 = \pi \times 5^2 = 25\pi\)\)

Therefore, the probability of a point chosen inside the large circle also being inside the smaller circle is:

\(\(P = \frac{A_{\text{small}}}{A_{\text{large}}} = \frac{25\pi}{100\pi} = \frac{1}{4}\)\)

So, the probability is \(\(\frac{1}{4}\)\) or 25%.

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the outlier may also affect the median, as the median value corresponds to the midpoint of the data set.

An outlier is an observation that differs significantly from other observations in a data set. The range of a data set measures the difference between the highest and lowest values in the set. When an outlier is included as the minimum value of the data set, the range of the data set increases due to the large difference between the outlier and the other data points. Therefore, the outlier had the most effect on the range of the data set.

The outlier had an impact on other measures of variability as well. For example, the inclusion of the outlier may increase the variance of the data set. This is because the outlier increases the difference between all the observations and the mean, thus increasing the variability of the data set. The outlier also affects the interquartile range, as it increases the difference between the upper and lower quartiles. In addition, the outlier may also affect the median, as the median value corresponds to the midpoint of the data set.

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Answer: 1st option, 3rd option, 1st option

Step-by-step explanation:

Answer:

108 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon with n sides is

(n - 2)180.

The measure of each angle of a regular polygon with n sides in

[(n - 2)180]/n.

In this case, n is 5 for a pentagon.

[(n - 2)180]/n = [(5 - 2)180]/5 = [(3)180]/5 = 540/5 = 108

Answer: 108 deg

As a child, Mary despised her stringent upbringing;

however, as she grew older she began to appreciate

her grandmother’s strict  discipline.

The correct option is B.

Discipline - despised is the past tense of despise meaning - to feel contempt or a deep repugnance for something or someone. Discipline, on the other hand, is the process of teaching people to follow rules while using punishment to enforce compliance.

Although flexibility is not typically considered a benefit of discipline, being disciplined now will result in flexibility later. However, being rigid will result from being strict. Build the proper systems in your life by working hard to do so, but realize that the system itself won't ultimately matter.

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Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

\( \tan(41°) = \frac{26}{x} \)

\(0.869 \times x = 26\)

\(x = \frac{26}{0.869} \)

Therefore, The value of x is 29.90.

Hope it helps...

Answer:

a_48000cm^3

b_48000000mm^3

Step-by-step explanation:

first of all, let's find the base area:

Ab=((b+B)h)/2=((10cm+30cm)20cm)/2=400cm^2

then, to find the volume, we need to multiplicate the base area to the height of the prism:

V=Ab*H=400cm^2*120cm=48000cm^3=48000000mm^3

The rate of interest for simple compounding if Louis is offered an interest rate of 6.35% for an investment with continuous compounding, is 0.0656 or 6.56%, so option D is correct.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

Louis is offered an interest rate of 6.35% for an investment with continuous compounding,

Here, P will be the same, the amount will be the same and the time period will be the same then,

The amount in simple compounding = The amount in continuous compounding

\(P(1 + r)^t = Pe^{rt}\)

Here, r is the rate of interest for simple compounding,

\(1 + r = e^{0.0635}\)   (All same quantities get canceled)

r = 1.0656 - 1

r = 0.06556

r = 0.0656

r = 6.56%

Thus, the rate of interest for simple compounding is 6.56%.

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9514 1404 393

Answer:

  C.  D"(0, -1)

Step-by-step explanation:

The attachment shows the two transformations. The original figure is in quadrant III, so rotating it 270° CCW will put the first image in quadrant II. Translating it down and right will move most of it to quadrant IV.

As you can see in the attachment, the location of D" is now (0, -1).

Answer: True

Step-by-step explanation:

Answer: No

Step-by-step explanation:

Definitely not.

The measure for each interior angle of triangle CAT is given as follows:

The angle measures are obtained considering that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angles of triangle CAT, along with their measures are obtained as follows:

Considering that the sum of these three measures is of 180º, the value of x is obtained as follows:

15x + 5x + 40 + 10x + 20 = 180

30x = 120

x = 120/30

x = 4.

Then the angle measures are obtained as follows:

The problem is given by the image presented at the end of the answer.

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Answer: The answer is D

Step-by-step explanation:

Based on the given conditions, formulate: 9÷(6+10+9)

Calculate the sum or difference: 9/16+9

Calculate the sum or difference:9/25

Multiply a number to both the numerator and the denominator:9 x 4/25 x 4

Calculate the product or quotient: 36/100

Rewrite a fraction with denominator equals 100 to a percentage is 36%

therefore  the percentage of the students preferred netball is 36%.

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In regression, the equation that describes how the response variable (y) is related to the explanatory variable (x) is option (b) the regression model

The regression model describes the relationship between a dependent variable (also known as the response variable, y) and one or more independent variables (also known as explanatory variables or predictors, x). It is used to predict the value of the dependent variable based on the values of the independent variables.

The regression model can take different forms depending on the type of regression analysis used, such as linear regression, logistic regression, or polynomial regression.

The correlation model, on the other hand, refers to the correlation coefficient, which is a statistical measure that describes the strength and direction of the linear relationship between two variables. The correlation coefficient can be used to assess the degree of association between two variables, but it does not provide information on the nature or direction of the relationship, nor does it allow for the prediction of one variable from the other.

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Answer:

it has solution...........,......

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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The interest earned on a deposit of $750 for 30 months at an interest rate of 2% would be $37.50.

The question asks us to calculate the interest earned on a deposit of $750 at an interest rate of 2% for a period of 30 months.

First, we need to determine the amount of interest earned per year. At an interest rate of 2%, the yearly interest earned would be 0.02 x $750 = $15.

Since the deposit is for 30 months, we need to determine the proportion of a year that this represents. There are 12 months in a year, so 30 months is equivalent to 30/12 = 2.5 years.

Therefore, the interest earned over 30 months would be (2.5 x $15) = $37.50. Thus, the interest earned on a deposit of $750 for 30 months at an interest rate of 2% would be $37.50.

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Answer:

No, because two points with the same y value have different values.