A student saves $15 per week toward the purchase of a guitar. Her grandmother gives her $50 to help her reach her goal, which function can be used to find the amount in dollars the student has saved after x weeks?

Answer:

108 cm^2

Step-by-step explanation:

Answer:

5 copies

Step-by-step explanation:

19 ÷ 195

answer x 60

Answer:

10.26secs

Step-by-step explanation:

Let's start by converting 3minutes 15seconds to second

How

60secs=1min

Xsec=3mins

Let's cross multiply

x=60×3

X=180secs

180+15

195secs

So 19 copies=195 secs

1copy=x sec

Cross multiply

19x=1×195

19x=195

Divide both sides by 19

X=10.26secs

Final Answer:

The surface area of the triangular prism is 156 cm².
Option C (156 cm²) is the correct answer.

Explanation:

To find the surface area of a triangular prism, you need to calculate the areas of all the faces and sum them up. The surface area will include the areas of:
- The two triangular bases, and
- The three rectangular sides.

Since the sides of the triangular bases are 3 cm, 4 cm, and 5 cm, and it is mentioned that they form a right triangle, we can consider those lengths to be the sides of a right-angled triangle where 3 cm and 4 cm are the perpendicular sides, and 5 cm is the hypotenuse. The length (height) of the prism is 12 cm.

1. Calculate the area of one triangular base:
  The area of a right-angled triangle can be calculated using the formula:
  Area = (Base * Height) / 2
 
  In our case, the base and height correspond to the two sides that are perpendicular to each other, which are 3 cm and 4 cm, respectively:
  Area_triangle = (3 cm * 4 cm) / 2
  Area_triangle = 12 cm² / 2
  Area_triangle = 6 cm²

  Since there are two identical triangular bases, we double the area:
  Total_area_triangles = 2 * Area_triangle
  Total_area_triangles = 2 * 6 cm²
  Total_area_triangles = 12 cm²

2. Calculate the area of the three rectangular sides:
  Each rectangle side is formed by the length of the prism and one of the sides of the triangle. There are three sides, so we have three rectangles:
  Rectangle 1 (Side a): Area = side_a * length = 3 cm * 12 cm = 36 cm²
  Rectangle 2 (Side b): Area = side_b * length = 4 cm * 12 cm = 48 cm²
  Rectangle 3 (Side c): Area = side_c * length = 5 cm * 12 cm = 60 cm²

  Now sum the areas of the rectangles:
  Total_area_rectangles = Rectangle 1 + Rectangle 2 + Rectangle 3
  Total_area_rectangles = 36 cm² + 48 cm² + 60 cm²
  Total_area_rectangles = 144 cm²

3. Sum up the areas of the triangular bases and rectangles to get the total surface area:
  Total_surface_area = Total_area_triangles + Total_area_rectangles
  Total_surface_area = 12 cm² + 144 cm²
  Total_surface_area = 156 cm²

Therefore, the surface area of the triangular prism is 156 cm².
Option C (156 cm²) is the correct answer.

Answer:

33 degrees

Step-by-step explanation:

Because of the little square in the corner of the triangle, you know that that angle is 90 degrees. Since the second angle is 57 degrees and all of the interior angles of a triangle add up to 180 degrees, the final angle is 180-90-57=33 degrees. Hope this helps!

Answer:

33

Step-by-step explanation:

the interior angle measure of all triangles is 180

you add the right and (90 degrees) to the 57 and subtract that from 180

this will get you 33

Answer: fourths

Step-by-step explanation:

Answer:

Line 1   Associative Additive inverse

Line 2  Associative, Additive inverse within brackets only and distributive.

Line 3 Associative

Line 4 is the Associative answer to 1

Step-by-step explanation:

Whilst we divide negative numbers as an inverse multiplication.

Where 4.5 x a negative 4 of the sum -1 would decrease by 2 decimals to 0.04 and so would the 5, they become additive inverse.

They can only be distributive if there are 2 multipliers.

Answer:

Mean= 8.5

Median= 6

Step-by-step explanation:

3,4,5,6,6,7,9,28

Median= Middle (If two middle number, add and divide by 2)

Mean= (3+4+5+6+6+7+9+28) ÷8

Answer:

44

Step-by-step explanation:

Answer:44

Step-by-step explanation:

2(10)+4(6)

20+24

=44

Answer:

Answer is "A cylinder and two cones"

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

Answer:

0.33

Step-by-step explanation:

because 0.45 plus 0.22 is 0.67 which means the other probability is 0.33.

The probability of dying from some other cause will be 0.33. Probability always lies between 0 and 1.

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

The given data in the problem is;

P(A) is the probability of dying from cardiovascular disease = 0.45

P(B) is the  probability of dying from cancer = 22

P is the probability of dying from some other cause =?

The probability of dying from some other cause will be found as;

[tex]\rm P =1- P(A)+P(B) \\\\ \rm P =1- 0.45+0.22 \\\\ \rm P =0.33[/tex]

Hence the probability of dying from some other cause will be 0.33.

To learn more about the probability refer to the link;

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Answer:

y=6

Step-by-step explanation:

y² - 10y + 24

factor: y - 4

24 / -4 = -6

y - 6 is the other factor.

(y-4)(y-6) ⇒ y(y-6) -4(y-6) = y² - 6y -4y + 24 ⇒ y² - 10y + 24

please mark as brainliest plzzzzzzzzz

The other factor of the expression y² - 10y + 24, other than y - 4, is y - 6. The expression can be factored as (y - 4)(y - 6).

The given expression is y² - 10y + 24. You have given that one factor is (y - 4). To find the other factor of the equation, we can divide the whole equation by (y - 4). By doing this, we find out that the other factor is (y - 6).

So, the expression y² - 10y + 24 can be factored as (y - 4)(y - 6).

This concludes that other than (y - 4), the other factor of the expression y² - 10y + 24 is (y - 6).

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Answer:

she will use 900 ounces for 9 people

Step-by-step explanation:

Answer:

900 ounces

Step-by-step explanation:

you would take 300 and divide it by 3 because thats how many people were listed, then you would get 100 per person as a unit rate. Multiply 100 by 9 and you have your answer!

Answer:

The correct Awnser is Awnser choice C. (Or third one)

Answer:c)72

Step-by-step explanation:u got it right on ape

Answer:

D

Step-by-step explanation:

We know that an arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is always constant.

−5, −7, −10, −14, −19, …

Here difference between -5 and -7 is -2

But difference between -10 and -7 is -3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

1.5, −1.5, 1.5, −1.5, …  

Here difference between 1.5 and -1.5 is 3

But difference between -1.5 and 1.5 is 3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

4.1, 5.1, 6.2, 7.2, …  

Here difference between 4.1 and 5.1 is 1

But difference between 6.2 and 5.1 is 1.1

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

−1.5, −1, −0.5, 0, …

Here difference between -1.5 and -1 is 0.5

But difference between -1 and -0.5 is 0.5

⇒ Difference is constant.

Therefore, this sequence represents an arithmetic sequence.

plz mark brainliest

Answer:

D.−1.5, −1, −0.5, 0, …

Step-by-step explanation:

Answer:85

Step-by-step explanation:

Use PEMDAS (Parentheses Expinents Multiplication Divison Addition Subtraction) in that order to solve in the correct order

Answer:

85

Step-by-step explanation:

first you have to reduce the factor with 2, them multiply the numbers.

Calculate the difference (when there is a "-" in front of an expression in parenthesis, change the sign of each term of the expression)

Multiply the numbers

Calculate the sum of the positive numbers

now, solution: 85

Answer:

Step-by-step explanation:

It is eqivilent to 37.5

I think you meant to say "equivalent" instead of "equipment"

To find equivalent fractions to 3/8, you would multiply top and bottom by the same number.

If we multiply the top and bottom by 5 for instance, then

3*5 = 15

8*5 = 40

So 3/8 is equivalent to 15/40

--------------

Another example: multiply top and bottom by 9

3*9 = 27

8*9 = 72

This means 3/8 is equivalent to 27/72

-------------

Now let's say you were asked if 15/40 was equivalent to 3/8

To check this, you would assume they are equal, then cross multiply like so

15/40 = 3/8

15*8 = 40*3 ... cross multiply

120 = 120

Since we end up with the same thing on both sides, we have confirmed that 15/40 = 3/8 is a true equation.

Answer: 2, and 33

Step-by-step explanation:

Answer:

the greatest common factor is 18

Answer:

So you would think 6 hours= 11$ so 6x11=66 now 73-66= 7 so her tip was 7 dollars

please mark me brainliest

Step-by-step explanation:

Answer:

1.16

Step-by-step explanation:

she earned 66 dollers the hour then she got and extra 1.16 for tip the hour and 7 dollers of tip the whole 6 hours

please mark brainliest

Answer:

1) B. on, 2) D. 19.2, 3) C. 0

Step-by-step explanation:

1) The value of y according to the regression line is:

[tex]y = 3.2\cdot (8) - 6.4[/tex]

[tex]y = 19.2[/tex]

Hence, the point (8,19.2) is on the least-squares regression line.

2) The value of y according to the regression line is 19.2.

3) The residual is the difference between the value from the regression line and the real value. In this case, the residual value is 0.

Final answer:

The data point (8,19.2) lies on the least-squares regression line. The value of the least-squares regression line at x=8 is 19.2. Hence, the residual of the data point (8,19.2) is 0.

Explanation:

The data point (8,19.2) is on the least-squares regression line since when we substitute x=8 into the equation y=3.2x−6.4, we get y=3.2(8)−6.4 which simplifies to y=25.6−6.4, yielding y=19.2, which is exactly the y-value of the given data point.

The value of the least-squares regression line at x=8 is therefore 19.2 which corresponds to option D.

Since the observed y-value is exactly predicted by the regression line at this x-value, the residual for the data point (8,19.2) is 0, which represents the difference between the observed y-value and the value predicted by the regression formula. Therefore, option C is correct for the residual.

Work Shown:

a = 3 and b = 4 are the two legs

c = x is the unknown hypotenuse

Use the pythagorean theorem to solve for c

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

c^2 = 25

c = sqrt(25)

c = 5

This question involves using the Pythagorean theorem to find the length of the hypotenuse of a right triangle. Given the lengths of the sides as 3 and 4, we find that the hypotenuse (denoted as 'x') is 5.

The subject of this question is mathematics and it is related to finding the length of the hypotenuse of a right triangle using the Pythagorean theorem. In the case of this problem, the two sides of the triangle are given (3 and 4) and the hypotenuse (x) is what we are solving for.

The Pythagorean theorem is as follows: a² + b² = c². In this notation, a and b are the lengths of the two sides, and c is the length of the hypotenuse. Given that a is 3 and b is 4, to find out x (or c in the formula), we square each of those values (3² + 4²) and get 9 + 16, respectively. This means x² = 25, so the value of x (the hypotenuse) is √25, which equals 5.

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Answer: 48

5+8=13

78 divided by 13 equals 6

6 x 8(long side)=48

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

90 degree CW

Step-by-step explanation:

Since the point is at (24, -15) and was rotated to (-15, -24):

x, y  -->   y, -x

This is a 90 degree rotation clockwise

Answer:

28.75

Step-by-step explanation:

15 + 8+ 8 + 5+ 2= 38%

Net pay = 100 - 38 = 62%.

100- 5 = 95%

575 times 95%= 546.25.

575 - 546.25= 28.75.

Given a decay rate of 2.5% per year for a radioactive element, the half-life of this element, calculated using first-order kinetics, would be approximately 27.7 years.

The question seeks to find the half-life of a radioactive element given a decay rate of 2.5% per year. To solve this, we need to utilize the concept of first-order kinetics which is used to model radioactive decay.

First, we express the decay rate as a decimal, thus 2.5% is 0.025. To find the half-life or T1/2, we can make use of the formula T1/2 = ln(2) / k, where k is the decay constant or rate.

By inserting the values into this formula, it would be T1/2 = ln(2) / 0.025 which gives us approximately 27.7 years (rounded to one decimal place) as the half-life of the given radioactive element.

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The half-life is 27.7 years.

Half-life is the time required for half of the radioactive atoms to decay in a sample. In this case, the decay rate k = 2.5% is equivalent to 0.025 in decimal form.

By using the formula t1/2 = ln(2) / k, we can calculate the half-life.

Plugging in k = 0.025,

t1/2 = ln(2) / 0.025

= 27.7 years.

Therefore, the half-life of the element is approximately 27.7 years.

Complete Question:

The decay rate, k, for a particular radioactive element is 2.5%, where time is measured in years. Find the half-life of the element.

The half-life is  ___  years. (Round to one decimal place as needed.)

Answer:

48 ft cubed or 576 in cubed

Step-by-step explanation:

The volume of the water is 2304 in cubed. you multiply 12 in by 24 in by 8 in.

the rock makes the water go up 2 in. You then multiply 12 in by 24 in by 10 in. This will equal 2880 in cubed.

2880-2304=

576 in. cubed or 48 ft. cubed

Answer:

You should move 3 places horizontally, and 4 places vertically.

Step-by-step explanation:

Final answer:

To plot the point (3,4) on a scatter plot, you should follow:

Explanation:

To plot the point (3,4) on a scatter plot, you should follow these steps:

First, move three places horizontally from the origin along the x-axis; this represents the x-coordinate of the point. Next, from that position, move four places vertically along the y-axis; this represents the y-coordinate of the point.

By doing this, you will have plotted the point (3,4) correctly on the scatter plot.

This process is based on the convention that the first number in the ordered pair (x,y) corresponds to the horizontal (x-axis) movement while the second number corresponds to the vertical (y-axis) movement.

Therefore, plotting a point on a scatter plot or any Cartesian plane involves finding the x-coordinate on the x-axis and then finding the y-coordinate on the y-axis and marking the point where these two meet.

Answer:

(3x+7)(x+3)

Step-by-step explanation:

Factors 3x^2+16x+21

3x^2+16x+21

=(3x+7)(x+3)

Answer:

[tex]3 {x}^{2} + 16x + 21 \\ 3 {x}^{2} + 9x + 7x + 21 \\ 3x(x + 3) + 7(x + 3) \\ = (3x + 7)(x + 3)[/tex]

Answer:

A

Step-by-step explanation:

i promise it's A.

Mona is hang gliding 1.25 kilometers above sea level and a whale is 0.2 kilometers below sea level. The total distance between them is the sum of both distances, which is 1.45 kilometers.

The distance between Mona and the whale is given by the sum of 2 distances. One is Mona's altitude above sea level (5/4=1.25 kilometers) and the other is the whale's depth below sea level (0.2 kilometers). Both values should be added because both distances are defined with respect to the sea level, and their signs indicate direction rather than distance. Therefore, the expression that represents the distance between Mona and the whale is 1.25 km+0.2 km = 1.45 km, where 1.25 km is the distance Mona is gliding above the sea level and 0.2 km is the distance the whale is under the sea level.

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