The height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared 32 t 10. What does t represent?.

Using rates and ratio concept, Martine received €175.44 after converting 200 Swiss francs (CHF)

A rate is a ratio that compares two different quantities which have different units. The unit rate is different from that of a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity. In other words, we can say that the second quantity in the comparison is always 1.

To calculate the amount Martine received, we have to use the rate given in the question.

€1 = 1.14 CHF

x € = 200

Cross multiply both sides and solve for x

1 * 200 = 1.14 * x

200 = 1.14x

Divide both sides by the coefficient of x

200 / 1.14 = 1.14x / 1.14

x = 175.44

Martine received €175.44

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Answer:

first number = 7

second number = 11

Step-by-step explanation:

A first number is 4 less than a second number

f = s - 4

Four times the first number is 6 more than twice the second

4f = 2s + 6

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

Substitute for f = s - 4

4(s - 4) = 2s + 6

distribute

4s - 16 = 2s + 6

subtract 2s from both sides

2s - 16 = 6

add 16 to both sides

2s = 22

Divide both sides by 2

s = 11

Substitute for s = 11 in

f = s - 4

f = 11 - 4

f = 7

Answer: To find the equation of a line passing through two points, we can use the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of one of the points, and m is the slope of the line.

To find the slope, we can use the formula:

m = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, let's plug in the values we have:

m = (-8 - 3)/(-8 - (-10)) = (-8 - 3)/2 = -11/2

Now we can use either point to find the equation. Let's use (-10, 3):

y - 3 = (-11/2)(x - (-10))

y - 3 = (-11/2)x - 55/2

y = (-11/2)x - 49/2

So the equation of the line through (-10, 3) and (-8, -8) is:

y = (-11/2)x - 49/2.

The slope of the line that is perpendicular to 6x + 2y = -32 is: 1/3.

The slope of two lines that are perpendicular to each other will always have a product that is equal to -1, which means that their slopes are negative reciprocals to each other.

Rewrite 6x + 2y = -32 in slope-intercept form:

2y = -6x - 32

2y/2 = -6x/2 - 32/2

y = -3x - 16

The slope is -3. Negative reciprocal of -3 is 1/3.

Therefore, the slope of the perpendicular line would be: 1/3.

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Answer:

I only got 8.5 but I could be wrong

Step-by-step explanation:

Answer:

a^2-b^2+2bc-c^2

Step-by-step explanation:

We multiply a with a and negative b with b. Then multiply negative c with c and multiply negative c with negative 2b. After all add/ subtract like terms

Answer:

10 inches by 4 inches

Step-by-step explanation:

Area of envelope, A = 40 in²

Perimeter of envelope, P = 28 in

Area = Length * width, L*W

Perimeter = 2(L + W)

40 = LW - - - (1)

28 = 2(L+W)

28/2 = L+W

14 = L+W - - - (2)

Solving like a quadratic equation ;

We need two numbers whose sum gives 14 and product gives 40

The numbers are 10 and 4

(10*4) = 40 and (10+4) = 14

Answer:

45 degrees

Step-by-step explanation:

180 - 60 - 75 = 45

Angle RVE is the same as angle LVA

Answer:

this might help you....

Answer:

Rotate it so the triangle is pointing down, and that's rotating it 90°

Rotate it so the triangle is pointing to the left, and that's 180°

Rotate it so the triangle is pointing up, and that's 270°

Step-by-step explanation:

Answer:

6^2

Step-by-step explanation:

When they are divided, just subtract the exponents. 5 - 3 = 2

Answer:

C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given information:

- Total sample size (n) = 6,000

- Monitors with no stuck pixels (x = 0) = 4,074

- Monitors with one stuck pixel (x = 1) = 1,153

- Monitors with two stuck pixels (x = 2) = 462

- Monitors with three stuck pixels (x = 3) = 226

- Monitors with four stuck pixels (x = 4) = 85

Step 1: Calculate the probabilities for each value of x.

P(x = 0) = number of monitors with 0 stuck pixels / total sample size

        = 4,074 / 6,000

        = 0.679

P(x = 1) = number of monitors with 1 stuck pixel / total sample size

        = 1,153 / 6,000

        = 0.192

P(x = 2) = number of monitors with 2 stuck pixels / total sample size

        = 462 / 6,000

        = 0.077

P(x = 3) = number of monitors with 3 stuck pixels / total sample size

        = 226 / 6,000

        = 0.038

P(x = 4) = number of monitors with 4 stuck pixels / total sample size

        = 85 / 6,000

        = 0.014

Step 2: Verify that the sum of all probabilities is equal to 1.

P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) = 0.679 + 0.192 + 0.077 + 0.038 + 0.014 = 1

The probability distribution of x is as follows:

x = 0: P(x = 0) = 0.679

x = 1: P(x = 1) = 0.192

x = 2: P(x = 2) = 0.077

x = 3: P(x = 3) = 0.038

x = 4: P(x = 4) = 0.014

The solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the Intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3

Given that the number graph ranges from negative eight to eight on the x-axis and negative eight to eight on the y-axis.

Two lines that are perpendicular to each other intersect at (three, zero). The line with a positive slope is labeled a, and the line with a negative slope is labeled b.

The system is given byx – y = 3 (line a)x + y = 3 (line b)We know that both the lines a and b pass through (3,0).

Let's first find the points of intersection of the line a with the x-axis and the y-axis.

To find the point of intersection of the line a with the x-axis, put y = 0 in the equation x - y = 3x - 0 = 3x = 3So, the point of intersection of line a with the x-axis is (3,0).

To find the point of intersection of the line a with the y-axis, put x = 0 in the equation x - y = 3 0 - y = 3y = -3So, the point of intersection of line a with the y-axis is (0,-3).

Similarly, let's find the points of intersection of the line b with the x-axis and the y-axis.

To find the point of intersection of the line b with the x-axis, put y = 0 in the equation x + y = 3x + 0 = 3x = -3So, the point of intersection of line b with the x-axis is (-3,0).

To find the point of intersection of the line b with the y-axis, put x = 0 in the equation x + y = 3 0 + y = 3y = 3So, the point of intersection of line b with the y-axis is (0,3).

Now, we can plot the graph of the two lines a and b and then find the points of intersection as follows:

Therefore, the solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3.

Hence, the answer is (0, 3).Option B. (0, 3)

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Answer: M(5,7)

Step-by-step explanation:

\(\displaystyle\\C(3,5)\ \ \ \ \ D(7,9)\ \ \ \ \ M(x_M,y_M)=?\\\\M(x_M,y_M)=(\frac{3+7}{2},\frac{9+5}{2})\\\\ M(x_M,y_M)=(\frac{10}{2},\frac{14}{2} )\\\\ M(x_M,y_M)=(5,7)\)

Answer:

The answer is below

Step-by-step explanation:

From the image:

∠P + ∠Q = 180° (consecutive angles are supplementary)

78 + ∠Q = 180

∠Q = 180 - 78

∠Q = 102°

∠RQN = 360° - 305° =(sum of angle in a point)

∠RQN = 55°

∠RQN + ∠RQP = 102°

∠RQP = 102 - 55 = 47°

a) Let PR = x

Using cosine rule:

\(x^2=600^2+950^2-2(900)(600)cos(47)\\\\x^2=485021.9\\\\x=\sqrt{485021.9} \\\\x=696 \ m\)

Therefore PR = 696 m

b) Let ∠RPQ be A°

Using sine rule:

\(\frac{sin(A)}{600} =\frac{sin(47)}{696} \\\\sin(A)=\frac{sin(47)}{696} *600\\\\sin(A)=0.6304\\\\A=sin^{-1}(0.6304)\\\\A=39^0\)

∠RPQ = 39°

Hence the bearing of R from P = ∠NPR = 78° - 39° = 39°

Answer:

The length of each side is three foot.

Step-by-step explanation:

Answer:

1 ft.

Step-by-step explanation:

see attached

Answer:

10

Step-by-step explanation:

7(5) + 2(2-18) + (2+5)

35 + 2(-16) + 7

35 - 32 + 7

=10

The percent of change is approximately -15.5% (rounded to the nearest tenth).

To find the percent change between last year's enrollment and this year's enrollment, we can use the following formula

percent change = [(new value - old value) / old value] x 100%

where "new value" is the enrollment for this year, and "old value" is the enrollment for last year

Plugging in the numbers, we get:

percent change = [(87 - 103) / 103] x 100%

percent change = (-16 / 103) x 100%

percent change = -15.53%

Therefore, the percent of change is approximately -15.5% . This means that there was a decrease of about 15.5% in the enrollment for the drama club from last year to this year.

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Answer:

x = -1

Step-by-step explanation:

17x > -17, Divide both sides by 17

17x / 17 > -17 / 17

x > -1

The value of the given expression, 3^4 + 18 ÷ 3 +2, is 89

From the question, we are to determine the value of the given expression

The given expression is

3^4 + 18 ÷ 3 +2

First, we will write the expression properly

The given expression written properly is

3⁴ + 18 ÷ 3 +2

Using PEMDAS

P - Parentheses

E - Exponent

M - Multiplication

D - Division

A - Addition

S - Subtraction

Then,

3⁴ + 18 ÷ 3 +2

81 + 18 ÷ 3 + 2

81 + 6 + 2

= 89

Hence, the value is 89

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The total mass of the paperclips in the box is 6. 144 × 10^1 mg. Option C

1 mass of a paperclip = 8.0 × 10−4 mg

But there are 7.68 × 104 paperclips = x mg

cross multiply

x = 7.68 × 104 × 8.0 × 10−4 mg

Multiply through

x = 61. 44 × 10^ 4 -4

x = 61. 44 × 1

x = 6. 144 × 10^1 mg

Thus, the total mass of the paperclips in the box is 6. 144 × 10^1 mg. Option C

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Answer:

7.2 kilometers or 7 and 1/5 kilometers

Answer:

36/5 or 7 1/5 kilometers

Step-by-step explanation:

Step 1:

4/5 × 9     Equation

Step 2:

4/5 × 9/1    Turn 9 into a fraction

Step 3:

36/5    Multiply

Answer:

36/5 or 7 1/5

Hope This Helps :)

Answer:

The answer is $860

Step-by-step explanation:

$688÷0.8=$860

Step-by-step explanation:

688 is 80 % of what number, x  ?

     80% is  .80 in decimal

.80 * x  = 688

x = $688/ .8  = $  860 .

Answer:

y-5=1/3(x-6)

Step-by-step explanation:

SO find the slope first

ANd then just fill out the point slope formula

Answer: 260120.3 m to the third power

Step-by-step explanation:

The volume of the given sphere with a radius of 39.6 m is 259,988.38 cubic meters.

What information do we have?

Radius = 39.6 meter

Volume of sphere = (4/3)πr³

Volume of sphere = (4/3)(3.14)(39.6)³

Volume of sphere = (4/3)(3.14)(62099.136)

Volume of sphere = 259,988.38 cubic meter

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O centroid

Step-by-step explanation:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Answer:

n=10

Step-by-step explanation:

first distribute

-3 + 1/2 n = -1/2n + 7

next multiply both sides of the quation by 2

-6+n=-n+14

add n to both sides

-6+n+n=14

add 6 to both sides

n+n=14+6

combine like terms

2n=20

divide both sides by 2

n=10

The response we have is as follows to the query that was asked by equation the number of bacteria in the sample at 10:33 am is approximately 1,365,899.

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 equations in mathematics 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 relationship that exists between both of the phrases that on opposite sides of a letter. Sometimes, the logo along with the particular program are identical. as in 2x - 4 = 2, for example.

We are given that the number of bacteria in the sample (n+1) minutes after the chemical was added is given by:

b(n+1) = K x b(n) ------(1)

where K is a constant.

b(2) = 1,548,800

b(3) = K x b(2)

b(0) = 2,000,000

b(1) = K x b(0)

b(2) = K x b(1) = K^2 x b(0)

K = sqrt(b(2)/b(0))

K = sqrt(1548800/2000000) = 0.8819171

Now we can use equation (1) to find b(3):

b(3) = K x b(2) = 0.8819171 x 1548800 = 1365899.3

Therefore, the number of bacteria in the sample at 10:33 am is approximately 1,365,899.

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