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»Evaluate (8+t)³ - 6 when t = 2.
The value of the expression is
Practice: Numeric and Algebra

Answer:

x = 15 , y = 15√(2)

Step-by-step explanation:

The triangle is isosceles where two angles are the same which mean two sides are also the same.

x = 15°

Pythagorean Theorem: a^2 + b^2 = c^2

15^2 + x^2 = y^2

15^2 + 15^2 = y^2

225 + 225 = y^2

450 = y^2

y = √(450) = 15√(2)

Answer:

x=15 and y=15root2

Step-by-step explanation:

tan45=p/b

1=x/15

x=15

again for right angle trangle

h=root (p+b)

=15root2 ans

Answer:

17963.13

Step-by-step explanation:

Answer:

4(2k + j) = 8k + 4j

Step-by-step explanation:

4(2k + j)

Distribute in the 4.

4 * 2k + 4 * j

Multiply 4 and 2k.

8k + 4 * j

Multiply 4 and j.

8k + 4j

Answer:

Step-by-step explanation:

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

First, multiply by expand.

→ 4*2k=8k

→ 4*j=4j

Rewrite the problem down.

= 8k+4j

[tex]\Longrightarrow: \boxed{\sf{8k+4j}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

The answer is B, [3,10].

Step-by-step explanation:

The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by

[tex]f_{\mathrm{AROC}[a,b]} = \dfrac{f(b)-f(a)}{b-a}[/tex]

So for f(x) = x² on [1, 5], the AROC of f is

[tex]f_{\mathrm{AROC}[1,5]} = \dfrac{5^2-1^2}{5-1} = \dfrac{24}4 = \boxed{6}[/tex]

Answer:

5/12

Step-by-step explanation:

The odds for the die are 5 positive out of 6 possible outcomes

-- 2,3,4,5,6 are the positive outcomes - the ones you want - but there are a total of 6 outcomes or ways the die could land

The odds for the coin are 1 positive outcome out of 2 possible outcomes (heads or tails)

Once you have 5/6 for the die and 1/2 for the coin, you multiply them together.

The probability that a randomly selected employee has received the 5-year gift is 39.29%

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a randomly selected employee has received the 5-year gift = number of employees who have received the gift / total number of employees

11/28 x 100 = 39.29%

To learn more about probability, please check: https://brainly.com/question/13234031

Answer:

2. The change in expected height for every one additional centimeter of femur length.

Step-by-step explanation:

1. The expected height for someone with a femur length of 65 centimeters.

Doesn't make sense, that would be height value when centimeters = 65.

2. The change in expected height for every one additional centimeter of femur length.

Makes sense, for every increase in one additional centimeter, we can expect the height to be proportional to the slope.

3. The femur length for someone with an expected height of 2.5 centimeters.

Doesn't make sense, the linear relationship relies on the femur length to get the height.

4. The change in expected femur length for every one additional centimeter of height.

Doesn't make sense, again, the linear relationship relies on the femur length.

The Blue line is the translate in the direction of red line by,and therefore has equation y=3(x-4)+5

Answer:

C=31.4mm

Step-by-step explanation:

Circumfrence formula: π*diameter

diameter =10mm (picture)

C=10mm*3.14

C=31.4 mm

Answer:

31.42

Step-by-step explanation:

use the formula C=2πr

Answer:

Hence, the height of the trapezoidal base is 7.2 ft.

Step-by-step explanation:

The height of the trapezoidal base is 7.2 ft.

Step-by-step explanation:

Consider the provided information.

The volume of trapezoidal prism is the area of the cross-section × the length.

Where B is the area of base, H is the length and V is the volume.

The length of the prism is 25.2ft and volume is 1279.152

Hence, the base area is 50.76 ft².

The base is trapezoid.

The area of trapezoid is

Substitute B=50.76,  in above formula.

Hence, the height of the trapezoidal base is 7.2 ft.

Answer:

y = -x - 4

Step-by-step explanation:

y = mx + b

m = rise/run = -5/5 = -1

b = y-intercept = (0, -4)

Answer:

x = 14,641

Step-by-step explanation:

[tex] \sqrt{x} = 121 \\squaring \: both \: sides \\ \implies \: {( \sqrt{x}) }^{2} = {(121)}^{2} \\ \\ \implies \: x = 14,641[/tex]

Answer:

1. Reflection across y=0

2. Shifted 6 units right

Answer:

Step-by-step explanation:

A translation of 6,-6  followed by a rotation of 180 degrees

Answer:

768 Square Inches

Step-by-step explanation:

10x18 = 180 (2 rectanlge faces)

12x8 = 96 (2 triangles)

12x18 = 216 (bottom face)

216 + 96(2) + 180(2) =

768

Answer:

96

Step-by-step explanation:

First solve (10-7)

Then use 21 and ÷ it by 3

Add 89 + 7 and then you'll get your answer

Answer:

I can't understand

Step-by-step explanation:

=========================================================

Explanation:

In this case,

Divide A/B to find the experimental probability of landing inside the figure

A/B = (5,710)/(10,000) = 0.571

There's about a 57.1% chance of landing inside the figure.

The entire region is 15 units by 40 units, giving an overall area of 15*40 = 600 square units.

Roughly 57.1% of this total area would be taken up by the irregular figure

57.1% of 600 = 0.571*600 = 342.6 which rounds to 343

The area of the irregular region is about 343 square units

Answer:

Yes, the equation represents a linear relationship.

Step-by-step explanation:

If you graph it, it is a line.

Also, the exponent on the x and the y is exactly 1. There are no variables in the denominator, nor inside a radical. There are no squared, cubes or higher exponents. All these things will make an equation NOT linear.

Answer:

B

Step-by-step explanation:

17<9 + x

group like them

17-9 < x

the sign changes due to the negative

8>x

Answer:

differentiation

Step-by-step explanation:

maths class

1.427381

the nearest hundredth thousandths place.

if the the number right to the hundred thousandths place is 5 or more round up, if not keep it as it is.

= 1.42738

therefore, 1.427381 rounded to the nearest hundred thousandths is 1.42738

The answer is 1.42738

Answer + Step-by-step explanation:

let x be the time that Eric spends running

    y be the time that Eric spends walking

a) the statement “Eric runs and walks for a total of 12 minutes to reach his goal” is equivalent to the equation: x + y = 12

b) the coordinates of the intersection point are (5.333...  ,  6.666...)

Interpretation:

the time that Eric spends running is 5.333... minutes  

the time that Eric spends walking  is 6.666... minutes

Answer:

Given equation:

[tex]200x+80y=1600[/tex]

where:

If Eric runs and walks for a total of 12 minutes, then:

[tex]x+y=12[/tex]

To graph:

[tex]200x+80y=1600 \implies y=20-\dfrac{5}{2}x[/tex]

[tex]\textsf{x-intercept}: \quad 20-\dfrac{5}{2}x=0 \implies x=8 \implies (8,0)[/tex]

[tex]\textsf{y-intercept}: \quad 20-\dfrac{5}{2}(0)=20 \implies (0,20)[/tex]

[tex]x+y=12 \implies y=12-x[/tex]

[tex]\textsf{x-intercept}: \quad 12-x=0 \implies x=12 \implies (12,0)[/tex]

[tex]\textsf{y-intercept}: \quad 12-0=12 \implies (0,12)[/tex]

Point of intersection (equate equations):

[tex]\begin{aligned}20-\dfrac{5}{2}x &=12-x\\20-12 &=\dfrac{5}{2}x-x\\8&=\dfrac{3}{2}x\\16 &=3x\\x &=\dfrac{16}{3}\end{aligned}[/tex]

[tex]y=12-\dfrac{16}{3}=\dfrac{20}{3}[/tex]

[tex]\implies \left(\dfrac{16}{3},\dfrac{20}{3}\right)[/tex]

The point of intersection tells us that Eric runs for 16/3 mins and walks for 20/3 minutes.

Answer:

4.796

Step-by-step explanation: