14. Jennifer and Francine are running a race where Francine runs the race far faster than Jennifer.
It takes Jennifer just five seconds less than twice Francine's time to finish. If their combined
total time is 86 seconds and frepresents the amount of time it takes Francine to finish, then
which of the following equations models this situation?
(1) ƒ+2(ƒ-5)=86
(3) ƒ+2ƒ-5=86
(2) 2ƒ-5=86
(4) 2f-5=43

The intervals of each behavior of the function are given as follows:

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The measure of angle MTU m∠MTU is 114 degree.

From the figure in the diagram:

Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.

Since, angle STU composes or is the sum of angle STM and angle MTU.

To find angle MTU, simply subract angle STM from angle STU.

m∠STU = m∠STM + m∠MTU

Hence:

m∠MTU = m∠STU - m∠STM

Plug in the given values and simplify

m∠MTU = 145° - 31°

Subtract 31 from 145

m∠MTU = 114°

Therefore, angle MTU measure 114°.

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The  expression that is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power all raised to the third power is; A: 2.1 raised to the fifteenth power divided by 0.9 raised to the twelfth power

We want to find the expression that is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power all raised to the third power.

This can be written as;

(2.1⁵/0.9⁴)³

Now according to laws of exponents;

(a²)³ = a^(2 * 3) = a^(6)

Thus;

(2.1⁵/0.9⁴)³ = [(2.1)⁵*³]/(0.9)⁴*³

= 2.1¹⁵/0.9¹²

Thus, the  expression that is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power all raised to the third power is; A: 2.1 raised to the fifteenth power divided by 0.9 raised to the twelfth power

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Answer:

B

Step-by-step explanation:

Answer: y + 3x + 2 = 0

Step-by-step explanation:

The formula for that is

y - y₁

-------     = -3 where x₁ = -3, y₁ = 7

x - x₁

Therefore cross multiply and solve

y - 7 = -3[( x - (-3)]

y - 7 = -3( x + 3 )

y - 7 = -3x - 9

y + 3x -7 + 9 = 0

y + 3x + 2 = 0

Answer:

y=-3x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option B , C  and E are correct

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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Answer:

9 - 3 ÷ 1/3 + 1 = 1 ( Answer )

Step-by-step explanation:

hope u liked the answer :)

Answer:

3

Step-by-step explanation:

right ya rong you tell me ok

Answer: 9,2

Step-by-step explanation:

a+c=11

a=11-c

22(11-c) + 15c = 228

242-22c + 15c = 228

-7c=-14

C = 2 (two children)

Remember how a + c = 11

a + 2 = 11

A= 9

9 adults, 2 children.

"97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

To calculate the scores that are three standard deviations above and below the mean, we use the formula:

Lower limit = Mean - (Standard Deviation * 3)

Upper limit = Mean + (Standard Deviation * 3)

Given:

Mean = 269

Standard Deviation = 33

Using the formula, we can calculate the limits:

Lower limit = 269 - (33 * 3) = 269 - 99 = 170

Upper limit = 269 + (33 * 3) = 269 + 99 = 368

Therefore, the lower limit is 170 and the upper limit is 368.

To calculate the probability that a female student will have a score between these limits, we need to find the area under the normal distribution curve between the lower and upper limits. This can be calculated using a standard normal distribution table or calculator.

Since the distribution is assumed to be normal, approximately 99.72% of the scores will fall within three standard deviations from the mean. Therefore, the probability that a female student will have a score between these limits is approximately 99.72%.

For a score of 302, which is above the mean of 269, we can calculate the percentage of female students with scores below 302:

Percentage = (1 - Probability) * 100

= (1 - 0.9972) * 100

= 0.0028 * 100

= 0.28%

Therefore, approximately 0.28% of the female students have scores below 302.

It's important to note that the value mentioned, "97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

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Answer:     change in y divided by change in x

Step-by-step explanation:    The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run"

___________

\( \: \)

\(\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}\)

a = 78

b = 62

c = 37

Soo :

ABC = ?

= (78)(62)(37)

= 178.932✔

ABC

= (78)(62)(37)

= 78 × 62 × 37

= 178.932

Answer:

Yes

Step-by-step explanation:

When you divide it, it has no remainder.

Hope this helps

Answer:

yes it is as when you divide it it has no remainder

Answer:

c

Step-by-step explanation:

multiply 14 and 6 to find the area of base

hope this helps :)

Answer:

450 dollars

Step-by-step explanation:

After answering the given query, we can state that Therefore, for a equation premium of $1480, the business must select 12 units of policy A and 22 units of policy B.

A mathematical equation is a process that links two statements and indicates equality with the equals sign (=). A mathematical assertion that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the connection between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular program are identical. as in 2x - 4 = 2, for example.

Consider the following: units purchased for policy A = x, units purchased for policy B = y.

thus, given the information---

10000x+15000y<=450000

180000x+120000y<=4800000

Re: Simplifying

2x+3y<=90

3x+2y<=80

Once the disparities are graphed --

extremes are (0,30), (27,0), and   (12,22)

(50x plus 40y) is the objective function.

Value of the objective function at different extremes---

(0,30)-------30*40=1200

(27,0)-------27*50=1350

(12,22)-----12*50+22*40=1480------ideal position

Therefore, for a premium of $1480, the business must select 12 units of policy A and 22 units of policy B.

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Step-by-step explanation:

Answer:

\(-\frac{9}{1}\)

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

Answer:

step by step you said answer step by step that's your answer

Step-by-step explanation:

step by step you said answer step by step that's your answer

Answer:

C. a quadratic function with a negative value of a

Step-by-step explanation:

It is likely that a quadratic function with a negative value of a would be the best model for this data, as it would represent a parabolic shape that can accommodate a downward trend, followed by an upward trend, in the stock price. The value of "a" determines the direction of the parabola, with a negative value resulting in a downward-facing parabola, which is appropriate for a stock price that starts low and increases over time. This type of function would provide a good fit for the data, especially if there are fluctuations or ups and downs in the stock price over time.

Answer:23

Step-by-step explanation:10 people make up 30 percent so we have 33 people . 33 - 10 = 23

Answer:

6

Step-by-step explanation:

Changing the question into an equation format :

20/x = 10/3

Multiply x on both sides :

20 = 10x/3

Multiply both sides by 3 :

60 = 10x

Divide both sides by 10 :

6 = x

x = 6

The number must be 6, but let's check:

20/6

Simplify fraction by finding common multiple:

2

20/6 ÷ 2/2 = 10/3

Same as question so ✅

Hope this helped and have a good day

Answer:

6

Step-by-step explanation:

1. 20 / x = 10 / 3

2. Cross multiply 20 time 3 and 10 times x to get 60 = 10x

3. Divide both sides by 10

4. x=6

Given statement solution is :- The Sketch Graph is a straight line with a negative slope. It passes through the points (-3, 2.5), (-2, -2.5), (-1, -2.5), and (0, -5). The line is interrupted at x = 1 .

To sketch the graph of the equation 2y + 5x + 10 = 0 within the given range of x, we first need to rearrange the equation to solve for y:

2y = -5x - 10

Dividing both sides by 2:

y = (-5/2)x - 5

Now, let's plot the graph:

Choose some x-values within the range [-3, 1) to find their corresponding y-values.

Let's choose x = -3, -2, -1, 0.

For x = -3:

y = (-5/2)(-3) - 5

= (15/2) - 5

= 7.5 - 5

= 2.5

For x = -2:

y = (-5/2)(-2) - 5

= 5/2 - 5

= 2.5 - 5

= -2.5

For x = -1:

y = (-5/2)(-1) - 5

= 5/2 - 5

= 2.5 - 5

= -2.5

For x = 0:

y = (-5/2)(0) - 5

= 0 - 5

= -5

Plot the points (-3, 2.5), (-2, -2.5), (-1, -2.5), and (0, -5) on the graph.

Draw a straight line passing through these points. Since the range for x is (-3, 1), the line should be dotted or interrupted at x = 1.

The resulting graph should look like this:

yaml

Copy code

       |    

   *   |    

       |   *  

       |      

-------+-------

       |      

       |

Note: The Sketch Graph is a straight line with a negative slope. It passes through the points (-3, 2.5), (-2, -2.5), (-1, -2.5), and (0, -5). The line is interrupted at x = 1 since it is not included in the given range.

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The volume of the empty space in the can is approximately 10549.36 cm³

A sphere is a three-dimensional geometrical shape that is perfectly symmetrical, meaning it has the same shape and size at any orientation. The volume of a sphere can be calculated using the formula V = (4/3) × π × r^3, where V is the volume of the sphere, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the sphere.

The volume of one ball can be calculated using the formula for the volume of a sphere:

V_ball = (4/3)πr³

where r is the radius of the ball.

For this particular ball, the radius is 3.3 cm, so

V_ball = (4/3)π(3.3)³ = 150.532 cm³ (rounded to three decimal places

To accommodate 5 balls in the can, the height of the can needs to be 10 times the radius of each ball, which is 3.3 cm, so the height of the can is 33 cm.

The volume of the can can be calculated using the formula for the volume of a cylinder:

V_can = πr²h

where r is the radius of the can and h is the height of the can.

Since the radius of the ball and the inside radius of the can are the same, the radius of the can is also 3.3 cm.

V_can = π(3.3)²(33) = 11209.226 cm³ (rounded to three decimal places)

To calculate the volume of the empty space in the can, we need to subtract the total volume of the 5 balls from the volume of the can:

V_empty = V_can - 5V_ball

V_empty = 11209.226 - 5(150.532) = 10549.36 cm³ (rounded to two decimal places)

Therefore, the volume of the empty space in the can is approximately 10549.36 cm³

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Answer: x= -3

Step-by-step explanation:

Answer:

my nemis Büşra ❤️ Canlarım benim

Answer:

See explanation below

Step-by-step explanation:

Explain what is the difference between the solutions to 2x=10 and 2x > 10

Given the equations;

2x  = 10

x = 10/2

x = 5

For the equation 2x > 10

x > 10/2

x > 5

The first equation has only one solution which is 5 while the second equation has infinite number of solutions since the values of x can take any value that is greater than 5

Answer:

which one substitution or elimination

Step-by-step explanation:

Substitution: (-1,-3 )

Elimination: (-1,-3)

i hope this helps you :)

Please mark me brainlest

Step-by-step explanation:

\(see \: if \: 10 \: are \: left \: then \: we \: hve \: spent \\ 250 - 10 = 240 \: dollars \\ \)

hence

\(six \: flasks \: cost \: 240 \: dollars \\ so \: if \: we \: divide \: 240 \: by \: 6 \: we \: get \: 40 \: \\ \)

so one flask costs 40$

Answer:

beleive the anser is 12 try that

Step-by-step explanation:

The vοlume οf the prism is 14 cubic feet.

A three-dimensiοnal structure having six rectangular faces is called a prism. It is alsο knοwn as a rectangular cubοid οr a rectangular parallelepiped.

The prism is cοmpletely filled with 1750 cubes that have an edge length οf 1/5 ft. This means that the vοlume οf each cube is \((1/5)^3 = 1/125\) cubic feet.

Tο find the vοlume οf the prism, we can divide the tοtal vοlume οf the cubes by the number οf cubes:

Vοlume οf prism = (Vοlume οf οne cube) x (Number οf cubes)

Vοlume οf prism = (1/125) x 1750

Vοlume οf prism = 14 cubic feet

Therefοre, the vοlume οf the prism is 14 cubic feet.

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