find the measure of angle b ​

Step-by-step explanation:

The area A of the tire in contact is 7"×5" = 35 sq inches and we know that each tire has a pressure of 30 psi so the weight of the car in tons is

\(W = \dfrac{APN}{2000} = \dfrac{(35\:\text{in}^2)(30\:\text{lbs/in}^2)(4)}{2000}\)

\(\:\:\:\:\:= 2.1\:\text{tons}\)

The rate of change of the volume is 871.2 ft³/sec

Rate of change of volume is the change in volume with time.

The rate of change of radius is 6 feet per second.

rate of change in volume = dv/dt

rate of change in radius = dr/dt

to find radius of the sphere;

V = 4/3 πr³

163 = 4/3 x3.14r³

r³ = 163× 3)/4×3.14

r³ = 488/12.56

r³ = 38.85

r = 3.4 feet

therefore

dr/dt = 1/4πr² × dv/dt

= 6 = 1/4×3.14× 3.4² × dv/dt

dv/dt = 6×4× 3.14× 3.4²

dv/dt = 871.2 feet³ per second

therefore the rate of change of the volume is 871.2 feet³ per second

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Answer:

If im right the correct answers should be A, B and F

Answer:

I believe it is 24

Step-by-step explanation:

(2) (-3) (-4)

(-6) (-4)

24

The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.

The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:

5.3 × x > 5.3 ÷ 5.3 × k

We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:

5.3 ÷ 5.3 × k = k × 1 = k

Substituting this into our equation, we get:

5.3 × x > k

We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.

The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.

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As I understand, you want to write a diameter, that currently is in scientific notation, in standard notation.

The standard notation is 0.0000084

First, scientific notation is a way to write really long numbers (particularly those that have a lot of zeros) in a shorter way.

The general form is:

Ax10^n

If n is positive, we add n zeros at the right of our number.

If n is negative, we add n zeros to the left.

Here we have:

8.4x10^-6

So n is negative, meaning that we need to add the zeros at the left (also remember to correctly change the position of the decimal point) we will get:

8.4x10^-6 = 0.0000084

This is the measure in standard notation.

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Answer:

Step-by-step explanation:

A range

Answer:

C

Step-by-step explanation:

it goes in 0.1

hope it helps

Answer:

b

Step-by-step explanation:

count halfway to the number line which is 0.5 and then go back which is 0.45

A ray BD bisects ∠ABC so that m∠ABD = 5y – 3 and m∠CBD = 2y +12. Then, the value of y is 5.

An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts. In geometry, we usually divide a triangle and an angle by a line or ray which is considered an angle bisector.

Since we have been given that ray BD bisects ∠ABC so that m∠ABD = 5y – 3 and m∠CBD = 2y +12.Then, m∠ABD = m∠CBD.

So, 5y – 3=2y +12

5y-2y=12+3

3y=15

y=5

Therefore, the value of y is 5.

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The complete question is

Ray BD is inside ∠ABC so that m∠ABD = 5y – 3 and m∠CBD = 2y +12. Find the value of y.

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer:

85.95

Step-by-step explanation:

If the local tax was 8% and we want to know what is was without the tax then we need to do 93.42 times .92

\(93.42*.92=85.9464\)

Since money only goes to the hundredths place we need to round there

\(85.95\)

Based on the amount that Adrian spent in total, the cost without taxes was $86.50.

The cost of the clothes was $93.42 including tax.

Assuming the original cost is x, the equation is:

Total cost = Original cost x ( 1 + tax)

Solving would give:

93.42 = x × (1 + 8%)

93.42 = 1.08x

x = 93.42 / 1.08

= $86.50

In conclusion, the cost without taxes was $86.50.

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The Equation of bisector 5x-7y+3=0 which is a straight line.

A straight line that divides an angle of a triangle in equal value.

The line that lies perpendicular to a side and goes through the midpoint of its length.

Given, coordinate H (-7,2), K (3, -4) and L (5,4)

we plot a triangle HKL with this point.

midpoint of side HK is found by (-7+3)/2 and (2-4)/2

hence, midpoint of HK is (-2,-1) is denoted by P

the perpendicular bisector of side HK means a straight line from the midpoint of HK to the point L(5,4). The bisector line PL divide the angle HLK.

so, the equation of bisector is y-y₁ = (y₂-y₁)/(x₂-x₁)[x-x₁] because the bisector line passes through the point P(-2,-1) and L(5,4)

  y-(-1) = [4-(-1)]/[5-(-2)]× [x-(-2)]

y+1 = 5/7×(x+2)

7y+7= 5x+10

5x-7y+3=0

hence, the equation of bisector is 5x-7y+3=0

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Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

we know that "x" and "y" are encapsulating a function in "t" terms, so then we'll do implicit differentiation on the equation.

\(x^2+3y=4\implies \stackrel{chain~rule}{2x\cdot \cfrac{dx}{dt}}+3\cfrac{dy}{dt}=0\implies 2x\cdot \cfrac{dx}{dt}=-3\cfrac{dy}{dt} \\\\\\ \\\stackrel{\textit{"x" with respect to "t"}}{\cfrac{dx}{dt}=-\cfrac{3}{2x}\cdot \cfrac{dy}{dt}}~\hspace{10em}\stackrel{\textit{"y" with respect to "t"}}{-\cfrac{2x}{3}\cdot \cfrac{dx}{dt}=\cfrac{dy}{dt}}\)

Answer:

#15   x ≈ 20.5

Step-by-step explanation:

To find missing sides

1) find the reference angle

2) identify the information that is needed ( what are you given - opposite side, adjacent side, hypotenuse)

3) use that information to set up the trigonometric equation

#10

angle is 64, opposite side is 42, adjacent side is x

so you use tangent

tangent 64 = 42/x           multiply by x

x tangent 64 = 42           divide by tangent 64

x = 42/tangent 64

x ≈ 20.5

First, calculate the average of the salaries from the last three years:

Next, calculate the percentage that Mrs. Brown will get, multiplying 1.8% times the amount of years that she worked:

Finally, calculate what is 50.4% of the average income equal to:

Therefore, the pension is equal to $19,016

For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.

f(x) = 7/8x² - 14

Substitute f(x) with 0 -

0 = 7/8x² - 14

Add 14 to both sides -

7/8x² = 14

Multiply both sides by 8/7 -

x² = 16

Take the square root of both sides -

x = ±4

Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.

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Arc length = Θ x 2pi r

Where:

Central angle = Θ = angle /360 = 124/360

r = radius = 9 m

Replacing:

Arc length = (124/360) x 2 x 3.14 x 9 = 19.48 m

The solution of 5√3 × 3√12 = 30√3.

Square root of a number is defined as the number in which the multiplication by itself gives the original number. That is the square root of 9 would be = 3 in which when multiplied by itself gives the original number being 9.

Other examples include √ 4 = 2, √ 25 = 5, √100 = 10.

To simplify the give expression;

5√3 × 3√12= 5√3 × 3√4×3

= 5√3 × 3×2√3

= 5√3 × 6 √3

= 30√3.

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Step-by-step explanation:

a) We are going g to use the definition of tangent to find x:

\(\tan{18°} = \dfrac{opp}{adj} = \dfrac{15}{x}\)

\(\Rightarrow x = \dfrac{15}{\tan{18°}} = 46.2\)

b) To solve this problem, we are going to use the definition of cosine:

\(\cos{70°} = \dfrac{adj}{hyp} = \dfrac{x}{46}\)

\(\Rightarrow x = 46\cos{70°} = 15.7\)

Answer: 1 + 2 x 4x+1=10

Step-by-step explanation: 4x^2 + 5x+1 x x^2-4= also= 10

Answer:

option A

Step-by-step explanation:

X- axis

A . the x-axis

Step-by-step explanation:

The lines never meet

If a rectangle has a perimeter of 48 in. the length and width are scaled by a factor of 2.5, the perimeter of the resulting rectangle is 225 inches.

Let L be the length of the original rectangle and W be the width. Then, the perimeter of the original rectangle is P = 2L + 2W = 48 inches.

If we scale the length and width by a factor of 2.5, we get a new length of 2.5L and a new width of 2.5W. The perimeter of the new rectangle would be:

P' = 2(2.5L) + 2(2.5W)

= 5L + 5W

To find the new perimeter, we need to find the new values of L and W. Since the length and width are scaled by the same factor, we can write:

2.5L = kL

2.5W = kW

where k is the scaling factor.

Since the new rectangle is scaled by a factor of 2.5, k = 2.5. Therefore:

L' = 2.5L = 2.5(12) = 30 inches

W' = 2.5W = 2.5(6) = 15 inches

The new perimeter is:

P' = 5L' + 5W'

= 5(30) + 5(15)

= 225 inches

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The solution is, in PRYZ square, the value of m∠YKZ = 90.

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.

here, we have,

Remember that

In a Square

All sides are equal

Diagonals bisect each other perpendicularly

so

Find out KY

In the right triangle RYK

Applying the Pythagorean Theorem

RY^2=RK^2+KY^2

substitute given values

13^2=5^2+KY^2

KY^2=13^2-5^2

KY^2=144

KY=12

Find out PK

Remember that

Diagonals bisect each other perpendicularly

that means

PK=KY=12

Remember that

Diagonals bisect each other perpendicularly

so, that means

m∠YKZ = 90

Hence, The solution is, in PRYZ square, the value of m∠YKZ = 90.

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The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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Answer:

a) [-9,8)

b) [-5,5]

c) (-4,0), (1,6)

d) [-9,-4), (6,8)

e) [0,1]

f) just the y-value: 5;  as a point: (-8,5)

g) just the y-value: -5;  as a point: (-4,-5)

Step-by-step explanation:

a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).

b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.

For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.

c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?

d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?

e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?

f) Look for the highest non-infinity point on the graph

g) Look for the lowest non-infinity point on the graph