The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant height.solve the formula for h if b=3

Answer:

415 miles

Step-by-step explanation:

Start with the speed equation:

speed = distance/time

Now solve the speed equation for distance:

distance = speed × time

Apply the speed equation solved for distance to the two parts of the trip.

4 hours at 55 mph:

distance = 55 mph × 4 hours = 220 miles

3 hours at 65 mph:

distance = 65 mph × 3 hours = 195 miles

Add the two distances to find the total distance:

total distance = 220 miles + 195 miles = 415 miles

Answer: 415 miles

Answer:

415 miles

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.

How far did he drive?

d=rt

For the first part of the trip:

d = 55 * 4 = 220 miles

For the second part of the trip:

d = 65*3 =195 miles

Add the miles together

220+195 = 415 miles

Answer:

(0,2)

(3,0)

Step-by-step explanation:

Answer:

To solve this problem, we need to integrate the derivative f'(x) to obtain the function f(x).

∫f'(x) dx = ∫(4x - 3) dx

f(x) = 2x^2 - 3x + C

where C is the constant of integration.

To find the value of C, we need to use the fact that f(0) = 5. Substituting x = 0 into the above equation, we get:

f(0) = 2(0)^2 - 3(0) + C = C

Therefore, C = 5.

Hence, the function f(x) is:

f(x) = 2x^2 - 3x + 5

Now, we can find f(5) and f(-1) and compute their difference:

f(5) - f(-1) = (2(5)^2 - 3(5) + 5) - (2(-1)^2 - 3(-1) + 5)

f(5) - f(-1) = (50 - 15 + 5) - (2 + 3 + 5)

f(5) - f(-1) = 35 - 10

f(5) - f(-1) = 25

Therefore, f(5) - f(-1) = 25.

Answer:

Step-by-step explanation:

Divide it into a 3-by-3 square and a right triangle with legs that are 3 and 4.

area of square = 3² = 9 units²

area of triangle = ½×4×3 = 6 units²

total area = 9+6 = 15 units²

Answer:

Step-by-step explanation:

20 Min=30% complete

40 min=60% complete

60 min (1 hr)= 90% complete

67 min=100% complete

Answer:

Brand Z

Step-by-step explanation:

Set up all of them up as a fraction x/y where x is the fluid ounces and y is the cost.

Next, find the values of all the fractions and note them down.

Brand Z had the highest cost per fluid ounce of 2, and therefore is the correct answer.

Answer:

Brand w.

Step-by-step explanation:

First thing you want to do is divide your fluid ounces by your given cost. Which ever is greatest is your answer.

Brand w: 20/12.00 = 1.66

Brand x: 15/11.25 = 1.33

Brand y: 10/6.50 = 1.53

Brand z: 5/2.50 = 2.00

Brand w has the greastest price per fluid ounce compared to the rest of the brands.

Answer:

\(7x^2-2x-2\)

Step-by-step explanation:

\(-3x^2+9+10x^2-11-2x\)

Combine like terms:

\(10x^2-3x^2-2x+9-11\)

Simplify:

\(7x^2-2x-2\)

Hope this helps!

Answer: 7x^2 - 2x - 2

Step-by-step explanation:

in this expression, all you have to do is combine like terms. those are -3x^2 and 10x^2, 9 and -11.

-3x^2 + 9 + 10x^2 - 11 - 2x     rearrange to make easier

-3x^2 + 10x^2 - 2x + 9 - 11     combine like-terms

7x^2 - 2x - 2

Answer:

B import food from other countries

Answer:

uhgilhnl

Step-by-step explanation:

Answer:

The answer written in my book is:

(−1)!2

Step-by-step explanation:

Answer:

Part A. Company A: 20h+100

           Company B: 40h

Part B. After 3 hours: Company B is cheaper

           After 5 hours: Both companies would cost as much

          After 10 hours: Company A is cheaper

Part C. He would have to rent the bounce house for at most 5 hours before it becomes more expensive than Company A, because both companies would charge as much money at 5 hours.

Part A.

Company A: 20h+100

Company B: 40h

Part B.

After 3 hours: Company A costs more than Company B.

After 5 hours: The cost for both companies is the same.

After 10 hours: Company B costs more than Company A.

Part C. Ali would have to rent for at most 5 hours the bounce house from Company B for before it becomes less expensive to rent from company A.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

Ali wants to rent a bounce house for the cookout.

Part A.

Company A rents a bounce house for a $100 rental fee plus $20 per hour. Company B rents a bounce house for $40 per hour.

Let h = the number of hours the bounce house is rented.

The expression that shows the cost of renting a bounce house from each company is,

y = 20h + 100 and y = 40h.

Part B.

If x = 3 hours,

then y = 20(3) + 100 = $160 and y = 40(3) = $120.

Company A costs more than Company B.

If x = 5 hours,

then y = 20(5) + 100 = $200 and y = 40(5) = $200.

The cost for both companies is the same.

If x = 10 hours,

then y = 20(10) + 100 = $300 and y = 40(10) = $400.

Company B costs more than Company A.

Part. C.

Ali would have to rent at most 5 hours the bounce house from Company B before it becomes less expensive to rent from company A.

Therefore, all the solutions to the condition are given above.

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The value of y = 9/2

How to determine this

Inverse Proportion occur when one quantity increases, the other decreases. It is said to be in inverse proportion if an decrease in one leads to a decrease in the other quantity and a decrease in one leads to an decrease in the other quantity.

Let x and y be two quantities and assume that x is decreasing when y is increasing and vice versa.

The formula is,

If y is inversely proportional to x

= y ∝ 1/x

y = k/x

where y = 3

x = 9

3 = k/9

cross multiply

k = 27

Given x = 6 and y = ?

where y = k/x

y = 27/6

y = 9/2

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Answer: B i think

Step-by-step explanation:

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.

Work Shown:

\(a^2 + b^2 = c^2\\\\b^2 = c^2 - a^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{29^2 - 21^2}\\\\b = \sqrt{841-441}\\\\b = \sqrt{400}\\\\b = 20\\\\\)

I applied the pythagorean theorem.

Given the information stated in the question, we can derive the two following equations:

Step 1: Write out the information in form of mathematical equation.

Step 2: We solve the simultaneous linear equations to get the number of sheep and chickens:

Step 3: We get the number of chicken by substituting 7 for s in equation 1:

Hence, there are 7 sheep and 14 chickens on Farmer Colin's farm.

Answer:

obviously 8.4 is bigger than 2.4

Answer:

Domain: x \(\geq\) -5

Range: y \(\geq\) -3

Step-by-step explanation:

The domain is all the possible inputs or x value.  x will be greater than -5.

The range is all of the possible outputs or y value.   y will be greater than -3

Answer:

Domain:  [-5, ∞)

Range:  [-3, ∞)

Step-by-step explanation:

The given graph shows a continuous curve with a closed circle at the left endpoint (-5, -3) and an arrow at the right endpoint.

A closed circle indicates the value is included in the interval.

An arrow shows that the function continues indefinitely in that direction.

The domain of a function is the set of all possible input values (x-values).

As the leftmost x-value of the curve is x = -5, and it continues indefinitely in the positive direction, the domain of the  graphed function is:

The range of a function is the set of all possible output values (y-values).

From observation, it appears that the minimum y-value of the curve is y = -3. The curve continues indefinitely in the positive direction in quadrant I. Therefore, the range of the graphed function is:

Answer:

Step-by-step explanation:

Degree means highest exponent.  got it?

Answer:

  (c)  8x^2 -32x +32, repeated root is x=2.

Step-by-step explanation:

A quadratic with repeated roots will be a multiple of a perfect square trinomial. The form of it will be ...

  a(x -b)² = ax² -2abx +ab² = a(x² -2bx +b²)

Dividing by the leading coefficient will leave a monic quadratic whose constant is a (positive) perfect square, and whose linear term has a coefficient that is double the root of the constant.

__

Dividing by the leading coefficient gives ...

  x^2 -18x -81 . . . . . a negative constant

__

Dividing by the leading coefficient gives ...

  x^2 -2x +3 . . . . . . constant is not a perfect square

__

Dividing by the leading coefficient gives ...

  x^2 -4x +4 = (x -2)^2 . . . . . has a repeated root of x=2

__

Dividing by the leading coefficient gives ...

  x^2 -1.2x -0.36 . . . . . . a negative constant

__

The x-coefficient is not 2 times the root of the constant.

  14 = √196 ≠ 2√196

Answer:

3.1) Para calcular la mediana de la lista de datos, primero debemos ordenarlos de menor a mayor:

2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10

Como la lista tiene un número impar de elementos (35), la mediana es el valor central de la lista, es decir, el elemento en la posición 18. En este caso, el valor de la mediana es 6.

3.2) Para calcular la media y la mediana mediante una tabla de frecuencias, primero debemos determinar las frecuencias de cada valor en la lista:

Valor Frecuencia

2 5

4 8

6 9

8 5

10 8

La media se calcula sumando todos los valores y dividiendo entre el número total de elementos:

media = (25 + 48 + 69 + 85 + 10*8) / 35 = 5.8

Para calcular la mediana, primero debemos determinar el valor que ocupa la posición central de la lista. Como el número total de elementos es impar, ese valor es el que ocupa la posición (n+1)/2, donde n es el número total de elementos. En este caso, ese valor es el que ocupa la posición (35+1)/2 = 18.

Luego, debemos encontrar el valor que ocupa la posición 18 contando los valores de la tabla de frecuencias. Podemos hacer esto sumando las frecuencias hasta alcanzar o superar la posición 18:

Valor Frecuencia Frec. Acumulada

2 5 5

4 8 13

6 9 22

8 5 27

10 8 35

Como la posición 18 está dentro del intervalo correspondiente al valor 6, la mediana es 6.

The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

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Kennedy took a taxi from.her house tonthe airport. The taxi company charged a pick up fee of $3.20 plus $3.75 per mile. The total fare was $14.45 not including the tip. Write and solve an equation to determine the number of miles in the taxi ride.

Answer:

3

Step-by-step explanation:

672

1) Let's find the Least Common Divisor of

2) Let's factor 56, 96

3)So the LCD, also called LCM of those denominators (56 and 96) is 672, and with this LCD we can add or subtract those fractions.

Answer:

B.

Step-by-step explanation:

the x intercept passes through -5 and the y intercept passes through 3

Answer: Reconcile

Step-by-step explanation:

Using the normal distribution, the z-score of the height of a women 5.5 feet tall is 0.51.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Considering that each feet has 12 inches, the parameters are given as follows:

\(X = 5.5 \times 12 = 66, \mu = 64.1, \sigma = 3.7\)

Hence the z-score is found as follows:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (66 - 64.1)/3.7

Z = 0.51

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The solution to the polynomial equation 8x⁴ - 32x² = 0 by factoring are x = 0 or x = -2 or x = 2

To solve the equation 8x⁴ - 32x² = 0 by factoring, we can factor out the greatest common factor of the terms:

8x²(x² - 4) = 0

Now we can use the difference of squares identity to factor the quadratic expression:

8x²(x + 2)(x - 2) = 0

Using the zero product property, we know that the product of two factors is zero if and only if at least one of the factors is zero.

Therefore, we can set each factor equal to zero and solve for x:

8x² = 0 or x + 2 = 0 or x - 2 = 0

Solving for x, we get:

x = 0 or x = -2 or x = 2

So the solution set for the equation is {0, -2, 2}.

To check the solution, we can substitute each value into the original equation and verify that it equals zero.

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