200 students were asked to name their favorite science class. The results are shown in the two-wayfrequency table. Use the table to answer the following question.Favorite Science Class

Answer:

x= -12

Step-by-step explanation:

3(x+7)+6= -9

3x+21+6= -9

subtract 6 from both sides that gives you your equation that you can work with.

3x+21= -15

then subtract 21 from both sides that gives you

3x/3 = -36/3

the 3 cancels out and leaves you with -36 divided by 3

your answer is -12

\(\text {Hello! The answer to your problem is...}\)

\(\fbox {x=-12}\)

\(\text {Your 1st Step is to Simplify the Equation}\)

\(\text {(3)(x)+(3)(7)+6=-9 (Distribute)}\)

\(\text {3x+21+6=-9}\)

\(\text {(3x)+(21+6)=-9 (Combine Like Terms)}\)

\(\text {3x+27=-9}\)

\(\text {Your 2nd Step is to Subtract 27}\)

\(\text {3x+27-27=-9-27}\)

\(\text {3x=-36}\)

\(\text {Your 3rd/Final Step is to Divide 3}\)

\(\text {3x/3=-36/3}\)

\(\fbox {x=-12}\)

\(\text {Best of Luck!}\)

\(\text {-LimitedX}\)

Answer:

i hope this answer helps ok

199,999,998,648,000

The equation that links x and y is \(y=(\frac{1}{3} )x+3\) if x is 3,6,9,12,15 & y is 4,5,6,7,8.

The definition of the an equation in algebra is a mathematical assertion that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical equation is a statement that two numbers or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts. When two or more components must be taken into account together in order to comprehend or describe the whole situation, this is known as an equation.

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Answer:

  13 ft

Step-by-step explanation:

We assume your height formula is intended to be ...

  h(t) = -16t² +20t +7

This will have its maximum value at ...

  t = -b/(2a) = -20/(2(-16)) = 5/8

The height at that time is ...

  h(5/8) = (-16(5/8) +20)(5/8) +7 = 10(5/8) +7 = 106/8 = 53/4 = 13 1/4 . . . ft

To the nearest whole foot, the diver will reach a height of 13 ft above the pool.

_____

Additional comments

The standard form quadratic can be described as ...

  f(x) = ax² +bx +c

The extreme value occurs at ...

  x = -b/(2a)

This can also be written as ...

  f(x) = (ax +b)x +c

which can make it easier to evaluate for some numerical value of x.

Answer:

8 degrees now and the change would be a 3 degree difference

Answer:

D

Step-by-step explanation:

yt = 2

the ratio is 1:25

2×25=50

Question: "Which of the following assessment types has the greatest effect on your overall grade?"

Answer: "Out of all the assessment types, 'tests' have the greatest effect on your overall grade as a student. Hence, Option D would be the best choice."

The  assessment types has the greatest effect on your overall grade is test.

The following information should be considered;

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Answer:

use a calculator

Step-by-step explanation:

its not that hard

Solving the literal equation for x, x = 4 - y

What is Equation ?

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14. Algebraic equations in mathematics frequently contain one or more variables.

Given equation,

2x+5y=3y+8

solving for x

Lets take y on one side and x on the other side

so,

2x = 3y - 5y + 8

2x = -2y + 8

2x = 8 - 2y

Dividing both side by 2

x = 4 - y

Hence ,The solution of the given equation for x will be x = 4 - y

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The functions that are shown on the graph are:

                              f(x) = x2

                             f(x) = mx + b

     where 'm' and 'b' are real numbers.

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Answer:

x = - 0.5

\(x=-\frac{1}{2}\)

Step-by-step explanation:

2x + 5 = 4

2x + 5 - 5 = 4 - 5

2x = - 1

2x ÷ 2 = - 1 ÷ 2

x = - 0.5

Answer:

Inscribed angle

Step-by-step explanation:

Central angles have the vertex as the center of the circle, and chords are not angles

(a) One 10-pound bag of flour with 38 cups is not enough for the recipe that requires 50 cups.

(b) Approximately 13.2 pounds of flour will be needed for the recipe.

(c) Less than a gallon of milk is needed for the recipe, as it requires 1 1/2 cups.

(d) The cafeteria has enough sugar from its 1.5-kilogram bag (approximately 3.3 pounds) for the recipe's 0.5 pounds.

(e) The cafeteria will make $87.50 if they sell all 175 pancakes at $0.50 per pancake.

(a) To determine if one 10-pound bag of flour containing 38 cups is enough for the recipe, we need to calculate how many cups of flour are required to feed 75 people. The original recipe feeds 6 people and requires 4 cups of flour. We can set up a proportion:

6 people / 4 cups = 75 people / x cups

Cross-multiplying, we get:

6x = 4 * 75

6x = 300

x = 50

Since we need 50 cups of flour to feed 75 people, one 10-pound bag with 38 cups of flour will not be enough.

(b) If one 10-pound bag of flour contains 38 cups, we can calculate the weight of flour needed for the recipe. We already determined that we need 50 cups of flour. Using the ratio of 10 pounds to 38 cups, we can set up a proportion:

10 pounds / 38 cups = y pounds / 50 cups

Cross-multiplying:

10 * 50 = 38y

500 = 38y

y ≈ 13.2

Rounding to the nearest tenth, we need approximately 13.2 pounds of flour for the recipe.

(c) The recipe calls for 1 1/2 cups of milk. To determine if we need more or less than a gallon (which is equivalent to 16 cups) of milk, we compare the quantities:

1 1/2 cups < 16 cups

Therefore, we need less than a gallon of milk for this recipe.

(d) The cafeteria has a 1.5-kilogram bag of sugar, which is approximately 3.3 pounds (1.5 kg * 2.2 lbs/kg). We need 0.5 pounds of sugar for the recipe. Since 0.5 pounds is less than 3.3 pounds, the cafeteria has enough sugar to make the recipe.

(e) The original recipe makes 14 pancakes. To determine the total number of pancakes needed for 75 people, we can set up a proportion:

6 people / 14 pancakes = 75 people / x pancakes

Cross-multiplying:

6x = 14 * 75

6x = 1050

x = 175

Therefore, the cafeteria needs to make 175 pancakes. If they plan to charge $0.50 per pancake, the total revenue can be calculated by multiplying the number of pancakes by the price:

175 pancakes * $0.50/pancake = $87.50

Thus, the cafeteria will make $87.50 if they sell all the pancakes made for 75 people.

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Answer:

A) 10/3

Step-by-step explanation:

substitute the y statement into the x statement and solve regularly.

3x = 2(-6x + 18) + 14

3x = -12x + 36 + 14

3x = -12x + 50

15x = 50

x = 10/3

Hope this helps. Pls give brainliest.

Answer:

Yes. Prowess leads to a sense of pride.

Step-by-step explanation:

Answer:

Apx 7.79$

Step-by-step explanation:

Please brainliest

a. To find the function s(t) representing the distance of the stone above the ground at any time t before it hits the ground, we can use the equation of motion for free fall:

s(t) = s0 + v0t + (1/2)at^2

where s(t) is the distance at time t, s0 is the initial height, v0 is the initial velocity, a is the acceleration due to gravity, and t is time.

Given:

s0 = 238.5 meters (height of the building)

v0 = -13 meters per second (negative sign indicates downward direction)

a = 9.8 meters per second squared (acceleration due to gravity)

Plugging in these values, we have:

s(t) = 238.5 - 13t + (1/2)(9.8)t^2

b. To find how long it takes for the stone to reach the ground, we set s(t) equal to zero and solve for t:

238.5 - 13t + (1/2)(9.8)t^2 = 0

This is a quadratic equation, which can be solved using the quadratic formula. However, since we're only interested in the positive root (time cannot be negative), we can use the positive root of the quadratic equation:

t = (-b + √(b^2 - 4ac))/(2a)

Plugging in the values from our equation, we get:

t = (-(-13) + √((-13)^2 - 4(1/2)(9.8)(238.5)))/(2(1/2)(9.8))

= (13 + √(169 - 4(1/2)(9.8)(238.5)))/(9.8)

Simplifying the expression inside the square root:

t = (13 + √(169 - 981(238.5)))/(9.8)

Calculating the square root and dividing by 9.8 will give us the time it takes for the stone to reach the ground in seconds.

c. The velocity at which the stone reaches the ground is given by the equation:

v(t) = v0 + at

At the moment the stone hits the ground, t is the time we calculated in part b. Plugging in the values, we have:

v(t) = -13 + 9.8t

Calculating the value of v(t) using the calculated time t will give us the velocity in meters per second.

Note: Since the calculation involves square roots and arithmetic operations, the final answers for parts b and c may be rounded to one decimal place as requested.

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Answer:

yes

Step-by-step explanation:

The graph represents a function because it passes the vertical line test

From the complete question, the given graph is a linear graph

All linear graphs represent a function

This is so because they have constant slopes, and they pass the vertical line test

Hence, we can conclude that the graph represents a function

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Answer:

idek

Step-by-step explanation:

Total distance of the triathlon race is 23.34 kilometers.

Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

The total distance of the race is 23.34 kilometers.

Reg enters a triathlon race.

He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km

Total distance = 23.34 km.

The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.

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Answer:

6 seconds

Step-by-step explanation:

The computation of the number of second would be

In the case when the ball would hit the ground, the ball height would be zero

So the following equation would be

\(0 = -(x -2)^2 + 16\\\\(x -2)^2 = 16\\\\x - 2 = \sqrt{16}\\\\x -2 = 4\\\\x = 6\)

So the number of seconds is 6

Answer:

9+k-17

Step-by-step explanation:

sum of 9 and k

9+k

minus 17

9+k-17

Answer:

you would need a square and a rectangle to equal that

Step-by-step explanation:

Answer:

   ∠e = 32°

   ∠d = 69°

   ∠f = 79°

Step-by-step explanation:

       Angle e and 32° are vertical angles, so this means that ∠e = 32° because vertical angles are congruent.

       Next, a straight line is equal to 180°, and angle e is equal to 32°, so we can write the following equation to solve for angle f:

69° + e + f = 180° ➜ 69° + 32° + f = 180° ➜ 101° + f = 180° ➜ f = 79°

       Lastly, angle d and 69° are also vertical angles, so this means that ∠d = 69° because vertical angles are congruent.

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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The solution set of the inequalities can be identified by investigating the coefficient of x^2

The graph of a parabola is represented by a curve as used in the graphs attached in the equation

Parabolic graphs are also called graph of quadratic equation

The equation is usually in this form

y = ax^2 + bx + c

when it is "y =" it is a vertical parabola the graph will either opens up or down

The coefficient  of "x^2" which is "a" says if the curve opens upwards or downwards. when a is:

y > x^2 - 1 "a" is positive hence opens upwards

y ≤ -x^2 + 4  "a" is negative hence opens downwards

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If triangles 1 and 2 are similar then ratio of two sides is 25:52

A triangle is a polygon with edges and three terminals. It belongs to the basic geometric shapes. A triangle containing the angles A, B, and C is referred to by the term ABC.

Any three Euclidean points that are not collinear result in a triangle and a rectangle. In other words, any triangle is exclusively covered by that plane and is contained within that plane.

We know that any two triangles are similar by three axioms:

SSS , AAS , SAS or AAA axiom of similarity.

In the Euclidean plane, every triangle is contained within a single plane, but in higher-dimensional Euclidean spaces, this is no longer the case. This article addresses triangles in terms of geometry, more specifically the Euclidean plane, unless otherwise stated.

ratio of the sides of two triangle are in same ration when the triangles are similar

Now given ratio is 25:52, hence the ratio of the sides will be same.

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an=an-1+6, written in explicit formula when a = 9 is aₙ = 9n+5

An explicit formula is given as aₙ= a + (n - 1) d

where,

aₙ = nth term of the arithmetic sequence

a = the first term of the arithmetic sequence

d = the common difference

Given: aₙ = an-1+6 ;a1= 9

Substitute a = 9 into the equation:

aₙ = 9n-1+6

aₙ = 9n+5

Therefore, an=an-1+6, when a = 9 written in explicit formula, is aₙ = 9n+5

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