z varies directly as x^2. When z = 96 when x = 4, find z when x = 3

Answer:

0

Step-by-step explanation:

Let's make substitution as:

then

Solving the first equation for x and the second one for y:

And

Now, sum of x and y:

Therefore:

Answer is zero

Answer:

create a proportion

Step-by-step explanation:

.7/.1 = x/1

.1x = .7

Answer:

DE

Step-by-step explanation:

D)9x + 6y = 3(3x + 2y)

E)9a + 6b + 3c = 3(3a + 2b + c)

there have the same concept

3*3x equals 9x and 3*3a is 9a

A pilot is flying over the ocean. She determines the angles of depression to the two ships are 49 and 68 as shown. The plane is 4 miles from A. The ships are 3.8 miles apart from each other.

In ΔABC,

There are two ships at point A and B in the ocean(a flat water level).

A pilot is flying at point C over the ocean.

Angle of depression from C to A = 49°

Angle of depression from C to B = 68°

Since, DE || AB

Hence because of alternate interior angles are equal.

Therefore, ∠DCA = ∠BAC = 49°, and

∠ECB = ∠ABC = 68°

Now in ΔABC, sum of three inside angles in a triangle is 180°.

Hence, ∠A + ∠B + ∠C = 180°

49° + 68° + ∠C = 180°

∠C = 180° - 49° - 68° = 63°

Now, in ΔABC ∠A = 49°, ∠B = 68°, ∠C = 63°

Distance of A to C = AC = b = 4

By using sine rule, \(\frac{a}{SinA} = \frac{b}{SinB} =\frac{c}{SinC}\)

\(\frac{a}{Sin49\textdegree} = \frac{4}{Sin68\textdegree} =\frac{c}{Sin63\textdegree}\)

⇒ \(\frac{4}{Sin68\textdegree} =\frac{c}{Sin63\textdegree}\)

⇒ \(\frac{4}{0.9271} =\frac{c}{0.891}\)

⇒ c x 0.9271 = 0.891 x 4

⇒ c x 0.9271 = 3.564

⇒ c = \(\frac{3.564}{0.9271}\)

⇒ c = 3.8442

Rounding off to the nearest tenth of a mile,

c = 3.8

Therefore, distance between two ships = AB = c = 3.8 miles

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Answer: 384 calories

Step-by-step explanation:

Answer:

7335

Step-by-step explanation:

The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

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Answer:

First, we need to convert 1,200 meters to inches:

1,200 meters * 39.3701 inches/meter = 47,244.12 inches

Next, we need to find the circumference of the wheel:

Circumference = π * Diameter

Circumference = 3.14 * 12 inches

Circumference = 37.68 inches

To find the number of revolutions, we can divide the total distance traveled (47,244.12 inches) by the distance traveled per revolution (37.68 inches):

47,244.12 inches ÷ 37.68 inches/revolution ≈ 1,254 revolutions

Rounding to the nearest whole number, it will take approximately 1,254 revolutions of the wheel to travel 1,200 meters on a child's bicycle.

Answer:

distributive property

Step-by-step explanation:

i think its distributive property

Answer: 4000

Step-by-step explanation:

With the help of substitution of equations we can say that the value of

x=6 and y = 9.

A mathematical statement known as an equation consists of two algebraic expressions separated by equal signs (=) on either side.

It demonstrates the equality of the relationship between the printed statements on the left and right.

Left side equals right side in all formulas.

To find the values of unknowable variables, which stand in for unknowable quantities, you can solve equations.

A statement is not an equation if it lacks the equals sign.

When two expressions have the same value, a mathematical statement known as an equation will include the symbol "equal to" between them.

According to our question-

x= y+3

putting the value of x in equation

y+3= 12-2y

y+2y=12-3

3y=9

y=9/3

y=3

now putting the value of y in ,

x=y+3

x=3+3

x=6

Hence, With the help of substitution of equations we can say that the value of

x=6 and y = 9.

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It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

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Answer:

3 nights

Step-by-step explanation:

If it took her 2 nights just to do 6 which means 3 the first night and 3 the 2nd night so she would do 3 another night and that would equal 9.

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

SAT SCORE :

421

375

585

693

608

392

418

484

725

506

613

706

366

GPA:

2.93

2.87

3.03

3.42

3.66

2.91

2.12

2.50

3.24

1.97

2.73

3.88

1.58

Using the online linear regression calculator ; the regression model obtained is :

ŷ = 0.00345X + 1.00301

0.00345 = slope or gradient

1.00301 = intercept ; where the regression line crosses the y axis

X = independent variable or predictor variable ; y = dependent variable or predicted variable

The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

Answer:

a = ±10/9

Step-by-step explanation:

\(-100+81a^2=0\\81a^2=100\\a^2=\frac{100}{81}\\\sqrt{a^2}=\sqrt{\frac{100}{81} }\\a=10/9\\a=-10/9\)

GOOD MORNING AND CONGRATULATIONS ON YOU GRADUATING :D

Answer:

12

Step-by-step explanation:

The figure is a right triangle with hypotenuse = QS

The  base from the graph = 4 units
(or you can just subtract the x-coordinates 2 - (-2) = 4)

The height from the graph is 3 units
(Or you can subtract the y-coordinates: 1 - (-2) = 3)

Since this is a right triangle the square of the hypotenuse = sum of squares of the other two sides

QS² = 3² + 4² = 9 + 16 = 25

QS, the hypotenuse = √25 = 5

The perimeter = sum of the sides = 3 + 4 + 5 = 12 units

Answer:

y = -2x - 2

Step-by-step explanation:

y = Mx + c

4 = -2(-3)+ c

4 =6+ c

c = -2

2/3 of 35 is 23. Kofi is 23.

Given the system of equations:

To solve this system, we first convert it in slope-intercept form:

We see that these lines must be parallel since they have the same slope (-3/2). The graph of the equations are:

Parallel lines never touch each other, so there is no solution for the system.

Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

The solution of the compound inequality is x < 3/4 or x >2.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A compound inequality:

4x - 5 < -2 or x + 1 > 3.

Solving inequality,

4x < -2 + 5 or x > 2

4x < 3 or x > 2.

x < 3/4 or x >2.

Therefore, the solution is x < 3/4 or x >2.

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Answer:

A:  16.2% (if you need it rounded, it is 16%)

B: 43.2% (if you need it rounded it is 43%)

Step-by-step explanation:

We need to find the candy bar percentage rate so we divide the amount of candy bars, by the total about of treats collected.

15 + 7 + 8 + 6 + 1 = 37

Now we divide the cady bars by the total amount:

6/37 = 16.2%

Now we do the same thing again but this time with the apples and gum:

16/37 = 43.2%

You did it!

Have a great day!!

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Using the formula of volume of cylinder, the percentage of the total capacity is 64.3%

The first step is to find the volume of the cylinder, which is given by the formula:

V = πr^2h

where r is the radius of the cylinder (which is half the diameter), and h is the depth of the water.

We are given that the diameter is 14 ft, so the radius is 7 ft. The depth of the water is 9 ft. Substituting these values into the formula, we get:

V = π(7 ft)^2(9 ft) = 2204.4 cubic feet

Next, we need to find the volume of the water in the tank. Since the tank is cylindrical and the circular cross-sections are vertical, the volume of the water will also be a cylinder with radius 7 ft and height 9 ft. Using the same formula as above, we get:

V(water) = π(7 ft)^2(9 ft) = 1385.44 cubic feet

Finally, we can calculate the percentage of the total capacity that is being used by dividing the volume of the water by the total volume of the tank and multiplying by 100.

Total capacity of the tank can be calculated by finding the volume of the cylinder with height 14 ft and radius 7 ft.

V(total) = π(7 ft)^2(14 ft) = 2155.13 cubic feet

Therefore, the percentage of the total capacity that is being used is:

percentage = (V(water) / V(total)) * 100 = (1385.44 / 2155.13) * 100 ≈ 64.3%

Rounded to one decimal place, the answer is 64.3%.

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Answer:

multiply 0.85x40

Step-by-step explanation: