Evaluate the expression 2bc^2 for b = 1. 5 and c = 5

Answer: -39/10 alternative forms : -3 9/10, -3.9

Step-by-step explanation:

Answer:

$6.60

Step-by-step explanation:

1 pound of blueberries = $3.50

if 0.6 pound = 3.50 × 0.6 = 2.10

1 pound of oranges = $2.50

if 1.8 pound = 2.50 × 1.8 = 4.50

Total = $4.60

The inequalities that satisfy this condition is 4x + 8y ≥ 200 and x + y ≤ 60

An inequality is an expression that shows the non equal comparison between two or more numbers and variables.

Let x represent the number of peanuts and y represent the number of cashew nuts.

She must buy a minimum of 10 kg of peanuts and a minimum of 5 kg of cashew nuts. Hence:

x ≥ 10, y ≥5

Also:

x + y ≤ 60

And:

4x + 8y ≥ 200

The inequalities that satisfy this condition is 4x + 8y ≥ 200 and x + y ≤ 60

Find out more on inequality at: https://brainly.com/question/24372553

Solution:

Note that:

First, let's convert the yards into feet.

Now, divide 18 both sides to find the cost of 1 foot.

The price of the twine per foot is $0.16.

The first step is to convert yards to foot: 1 yard = 3 foot

In order to convert yards to foot, multiply 6 by 3: 6 x 3 = 18 foot

The price per foot can be determined by dividing $2.88 by 18 foot

$2.88 / 18 = $0.16

To learn more about division, please check: https://brainly.com/question/194007

Answer:

3. f = gh

4. r = 1/s³

5. y = x[tex]\sqrt{z}[/tex]

6. m = n²/p

7. Inverse variation, s is constant

8. Direct Variation, x is constant

9. joint variation, q and r are both constants

10. Direct variation, r is constant

11. Joint variation, r and h are both constants

12. Inverse variation, x is constant

13. y = kx

17.5 = 21k

k = 21/17.5

y= (21/17.5)*39

y = 46.8

14.

m = kn

209 = 22k

k = 209/22

361 = (209/22)n

n = (361*22)/209

n = 38

The area of the glass in the region BCIH, rounded to the nearest square foot is 11.

The radius of the semicircle is 6 feet and the distance from F to E is 3 feet. The measure of an arc is 45°.

First, the sector is the part of the circle made of the arc of the circle along with its radii. The area of the sector of a circle is represented by

The angle of the sector is 360°

The area of the circle [tex]\rm \pi r^{2}[/tex] and the angle is ∅

The area of the sector,  [tex]\rm A= \frac{\Theta}{360} \times\pi r^{2}[/tex]

Here, the area of the glass in region BCIHis the difference between the area of the sector of region BCIGH and the region HIG.

The area of the region BCIH

[tex]\rm = \frac{\ 45}{360} \times\pi (6^{2} -3^{2} )[/tex]

[tex]\rm = \frac{\ 1}{8} \times\pi (27 )[/tex]

[tex]\rm = 10.5\; ft^{2}[/tex]

Hence, The area of the glass in the region BCIH, rounded to the nearest square foot is 11.

Learn more about the area of the sector here;

https://brainly.com/question/15849991

Answer:

11 ft2

Step-by-step explanation:

hope this helps

Answer:

B, between 3 and 4 miles

Step-by-step explanation:

We know that h is 9.

√1.5*9

1.5*9=13.5

This can be done without a calculator.

if we know that √13.5 is in between √9 and √16 and that √9=3 and that √16 is equal to √4, it can be concluded that the answer is in between 3 and 4.

Answer:

[tex]31 \frac{4}{15}[/tex]

Step-by-step explanation:

(convert the mixed numbers into improper fractions = [tex]a\frac{b}{c} = \frac{a*c+b}{c}[/tex] )

[tex]\frac{4*3+2}{3}*\frac{6*10+7}{10}[/tex]  

Steps if needed:

4*3 = 12+2 =14

6*10=60+7=67

[tex]\frac{14}{3} *\frac{67}{10}=\frac{14*67}{3*10}[/tex]

= [tex]\frac{938}{30}[/tex]

Simplify: Divide by 2

[tex]\frac{469}{15}[/tex] || 938/2 = 469   30/2 = 15

Convert your answer to a mixed fraction

[tex]31\frac{4}{15}[/tex]

469/15 = 31.26....

15*31 = 465

465+4 = 469

So your answer is 31 4/15

1244.57 cm²

Step-by-step explanation:

Given:

Hence, radius will be :

➝ diameter/2

➝ 24/2

➝ 12m

[tex] \: [/tex]

To Find:

Solution:

As, we know:

[tex] \star \quad{ \underline{ \green{ \boxed{TSA_{(cone)} = \pi r( l+r ) }}}} \quad\star \quad[/tex]

Here,

[tex] \rightarrow \: \frac{22}{7} \times 12 \: (21 + 12)[/tex]

[tex] \rightarrow \: \frac{22}{7} \times 12 \: (33)[/tex]

[tex]\rightarrow \: \frac{8712}{7} {cm}^{2} [/tex]

Therefore, Total Surface Area of Cone is 8712/7 cm² or 1244.57cm².

[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]

Step-by-step explanation:

answer is provided in picture

Solution:

It should be noted:

Using the formula:

Correct option is A.

Answer:

Slope is -0.6, hope this helps

Answer:

it would be 800-300 =500.

Answer:

9

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

The LCM of 26 and 32 is 416.

Solution:

Step-1: Plot the points on the graph.

~Graph attached

Step-2: Find the distance by counting

We can see that (-9,6) is 9 units to the left of the origin and 10 units further to reach (10, 6).

Answer:

[tex]\displaystyle f'(x) = -12x^2 + 4x[/tex]

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Calculus

Limits

Differentiation

The definition of a derivative is the slope of the tangent line:                       [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle f(x) = -4x^3 + 2x^2[/tex]

Step 2: Differentiate

∴ the derivative of the given function will be equal to -12x² + 4x.

---

Learn more about derivatives: https://brainly.com/question/25804880

Learn more about calculus: https://brainly.com/question/23558817

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

8 times longer

Step-by-step explanation:

The actual garden is 8 times the blueprint.

Reasoning? 56/7=8

How to check:

Use inverse operations:

7*8=56

The constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

A perfect square trinomial is an algebraic statement with three terms of the type ax²+bx+c. It is calculated by multiplying a binomial with itself.

For the given trinomial to be a perfect square trinomial, the value of the constant term should be such that the value of the term expression must be similar to (a+b)². Therefore,

[tex](a+b)^2=a^2+2ab+b^2[/tex]

            [tex]=x^2+8x+16[/tex]

Now, if we compare the two equations we will understand that the first term of the perfect square trinomial is x, and thus, the last term should 16.

[tex](x+4)^2=x^2+8x+16[/tex]

Hence, the constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

Learn more about Perfect Square Trinomial:

https://brainly.com/question/88561

16 is the constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles will be (x + 4).

A perfect square is a number that may be written as the product of two integers or as the integer's second exponent.

The perfect square obtained from the given equation is  (x + 4).;

On squaring we get;

[tex](x + 4)^2 = x^2 + 8x + 16.[/tex]

16 is the only constant term in the equation.

Hence 16 is the constant term that is necessary to complete the perfect square.

To learn more about the perfect square refer to the link;

https://brainly.com/question/385286

For a standard normal distribution, the approximate value of p

( z≥-1.25 ) is 0.8945.

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.

As we know that Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

It is given that z-score≥-1.25

From the standard normal table, the p-value corresponding to z≥-1.25 is

0.8945.

Therefore, For a standard normal distribution, the approximate value of p ( z≥-1.25 ) is 0.8945.

To get more about standard normal distribution visit:

https://brainly.com/question/6758792

Answer:

89%

Step-by-step explanation:

To make it easy. Hope this helps

Answer:

b = 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 18 ) and (x₂, y₂ ) = (- 3, 8 )

m = [tex]\frac{8-18}{-3-2}[/tex] = [tex]\frac{-10}{-5}[/tex] = 2 , then

y = 2x + b

to find b substitute either of the 2 points into the equation

using (2, 18 )

18 = 4 + b ⇒ b = 18 - 4 = 14

Answer:

gradient = 2

Step-by-step explanation:

calculate the gradient m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (5, 8) ← 2 points on the line

m = [tex]\frac{8-0}{5-1}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Answer:

28.5 units²

Step-by-step explanation:

You are correct.

You divided the figure into a square, a rectangle and a triangle.

You can also just divide into a rectangle and a triangle as I did below, and there are other ways of dividing the figure to find the area.

Bottom rectangle: 8 units by 3 units

Top triangle: base = height = 3 units

total area = area of rectangle + area of triangle

total area = length × width + base × height / 2

total area = 8 units × 3 units + 3 units × 3 units / 2

total area = 24 units² + 4.5 units²

total area = 28.5 units²

Answer:

x=31.66

Step-by-step explanation:

1st i did 600-125=475

so now i have to do 475 divided by 15

that is 31.66

so she has to wait 31.66 weeks to get the $475 dollars she needs

Answer:

50

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Sin 30 degree equals to the fractional value of 1/ 2. In the same way, we can derive other values of sin degrees like 0°, 30°, 45°, 60°, 90°,180°, 270° and 360°.

Answer:Sin 30=1/2

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = - 4n - 10

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₈ = - 42 and a₁₆ = - 74 , then

a₁ + 7d = - 42 → (1)

a₁ + 15d = - 74 → (2)

subtract (1) from (2) term by term to eliminate a₁

8d = - 74 - (- 42) = - 74 + 42 = - 32 ( divide both sides by 8 )

d = - 4

substitute d = - 4 into (1) and solve for a₁

a₁ + 7(- 4) = - 42

a₁ - 28 = - 42 ( add 28 to both sides )

a₁ = - 14

Then

[tex]a_{n}[/tex] = - 14 - 4(n - 1) = - 14 - 4n + 4 = - 4n - 10

Answer:

[tex]a_{n}=-10-4n[/tex]

Step-by-step explanation

[tex]a_{n}=a_{1}+(n-1)d\\Given:a_{8}=-42\\&a_{16}=-74\\Hence: \\a_{8}=a_{1}+7d=-42 (1)a_{16}=a_{1}+15d=-74 (2)\\ \left \{ {{a_{1}+7d=-42} \atop a_{1}+15=-74}} \right. \\(2)-(1):8d=-32\\ d=-32/8 =-4\\Substitute :d=-4 in equation (1)"\\-42=a_{1}+7(-4)\\-42=a_{1}-28\\a_{1}=-14\\Hence:\\a_{n}=-14-(n-1)4\\a_{n}=-14-4n+4\\a_{n}=-10-4n[/tex]

Answer:

5 units

Step-by-step explanation:

Luckily, we don't need to use the distance formula as we just need to find the distance between the x-coordinates. Thus, |4-9| = |-5| = 5, which means that the distance between (4,-3) and (9,-3) is 5 units

Answer:

5

Step-by-step explanation:

Point (4, -3) and point (9, -3) have the same y-coordinate of -3.  Therefore, both points are on the line y = -3.

Any line that is y = {number} is a horizontal line.

Therefore, to find the distance between the points, find the difference between the x-values:

9 - 4 = 5

Therefore, the distance between (4, −3) and (9, −3) is 5