HELP HELP HELP HELP!!!

Answer:

35) 352.14

36) 329.8

37) 339.4

38) 319.4

Answer:

89 meters tall

Step-by-step explanation:

Create and use the ratio between the shadow and the object given in the problem. If a pole is 3.4 m tall and it's shadow is 1.37 m long. The ratio between the shadow and the object is 340 : 137 in terms of [length of the shadow : length of the object].

Denominator = bottom number of a fraction.

Numerator = top number of a fraction.

To get from one to the other, just convert the ratio into a fraction where the numerator corresponds to what you are converting to. This is because the length of the shadow × length of the object / length of the shadow = length of the object. The denominator cancels.

Just as the length of the object × length of the shadow / length of the object = length of the shadow.

So since 35.75 represents the length of the shadow, you multiply this by 340 / 137 which is 88.7226277372... ≈ 89 meters which is the length of the actual object (to the nearest meter, or whole meter).

Answer:

10log10(3)abc

The equivalent expression for the log function log3(a^5bc^2) is  5log3a+log3b−2log3c

Logarithmic functions are expressed as the inverse of exponential functions.

Given the logarithmic expression

log3(a^5bc^2)

Since product are written in form of addition, hence;

log3(a^5bc^2) = log3(a^5) + log3(b) + log3(c^2)

The power will be carried to the back of the log function;

log3(a^5bc^2) = 5log3(a) + log3(b) + 2log3(c)

This gives the equivalent expression for the log function log3(a^5bc^2)

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The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Answer:

1. Hn (nth term of H) = 4n - 2

This works for every number. Way to find the definition for the nth term of an arithmetic sequence where d is the common difference and a is the first term of the sequence:

dn - (d - a)

In this case, 4 is the common difference and the first term is 2 so it's 4n - (4 - 2) which is 4n-2.

2. Hn = ad(n–1) where d is the common ratio and a is the first term.

Step-by-step explanation:

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The value of the inverse of the equation is this: x³ -3 = y

To find the inverse of the equation follow these steps:

1. Replace H(x) with y.

y = (x + 4)³ - 1

2. Interchange the values of X and Y.

X = (y + 4)³ - 1

3. Find the cube root of both sides

x³ = y + 4  - 1

4. Find the value of y

x³ - 4 + 1 = y

x³ -3 = y

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Answer:

4.6666(repeating)

Step-by-step explanation:

Answer:

x=69°  y=69°

Step-by-step explanation:

Angle x is an alternate angle so it is equal to the angle above it (69)

Angle y is in a co-interior angle so you do the equation 180-111 which equals 69°

Answer:

this equation has 1 answer

Step-by-step explanation:

x = 2

Answer:

49.45mph

Step-by-step explanation

3 hours 28 min needs to be changed to decimal form so to do that we take 28/60 to get .466 so the new time for the second part of the trip is 3.466 hours.

from their you can add the distances of each part of the trip and divide that by the total time to get your average speed of 49.45mph

((rate1 x time1) + (rate2 x time2)) / (time1 + time2)

((37 x 2.1) + (57 x 3.466)) / (2.1 + 3.466)

(77.7 + 197.562)/ (5.566)

49.45mph

Answer:

4.8*10^7

Step-by-step explanation: You chose the right answer. Hint plug it exactly like it is in the calculator and change your mode to scientific notation. That’s what I did

Based on the distance that Jill is above sea level, and the distance of the whale, the difference in elevation is 1.35 km.

Jill's elevation relative to sea level is:

= +5/4 km

The whale's elevation relative to sea level is:

= - 0.1 km

The difference is therefore:

= 5/4 - (-0.1)

= 1.25 + 0.1

= 1.35 km

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The horizontal cross section of a rectangular prism will always be a rectangle. If the base is a square, the cross-section can also be a square.

The definition of a prism is that the cross-section parallel to the base will be uniform.

Therefore, the cross section of a rectangular prism that is sliced horizontally is a rectangle.

The distance between point P and line L is 16/9√(13).

To find the distance between point P and line L, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is as follows:

Let P = (x1, y1) be the point and L be the line ax + by + c = 0. Then the distance between P and L is:

|ax1 + by1 + c|/√(a² + b²)

To find a, b, and c for the given line, we need to put it in slope-intercept form y = mx + b by solving for y.

2x - 3y = 12=> 2x - 12 = 3y=> (2/3)x - 4 = y

The slope of the line, m, is the coefficient of x, which is 2/3. Therefore, the line is:

y = (2/3)x - 4The values of a, b, and c are: a = 2/3b = -1c = -4

Now we can substitute the coordinates of P and the values of a, b, and c into the formula for the distance between a point and a line.

Let P = (3, 5).|a(3) + b(5) + c|/√(a² + b²)= |(2/3)(3) - 1(5) - 4|/√[(2/3)² + (-1)²]= |-4/3 - 4|/√(4/9 + 1)= 16/9√(13).

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Answer:

12.64 (unrounded)

Step-by-step explanation:

formula; a^2+b^2=c^2

you have your given which is 3 and hypotenuse of 13

plug in 3^2+b^2=13^2

solve 9+b^2=169

subtract   9 to the right side

169-9=160

bring down b^2=160

get rid of the square so \(\sqrt{160}\)

which will be 12.64 unrounded

Using the fact that ∠A is congruent to ∠B and ∠C is a complement of ∠A, we determined that the measure of ∠B is 65° based on the given measure of ∠C as 25°.

If ∠A is congruent (≅) to ∠B and ∠C is a complement of ∠A, we can use the properties of complementary angles to find the measure of ∠B.

Given that m∠C = 25° and ∠C is a complement of ∠A, we know that ∠A + ∠C = 90°.

Since ∠A is congruent to ∠B, we can replace ∠A with ∠B in the equation:

∠B + ∠C = 90°.

Substituting the given value, we have:

∠B + 25° = 90°.

To isolate ∠B, we subtract 25° from both sides of the equation:

∠B = 90° - 25°.

Simplifying, we get:

∠B = 65°.

Therefore, the measure of ∠B is 65°.

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(a) The inequality equations for the given shop are x + y ≤ 50 denotes the number of wakeboards and surfboards combined (no more than 50) and 150x + 100y ≥ 3000 denotes the earnings of the shop.

(b) The two possible combinations of wakeboard and surfboard are:

10 surfboards and 40 wakeboards i.e., 10 + 40 ≤ 50 and

30 surfboards and 20 wakeboards i.e., 30 + 20 ≤ 50

An inequality equation is the mathematical representation of two expressions comparatively related to each other. I.e., In the inequality equation, unlike the normal equation, the expressions are not always equal but they are either less or more.

It is given that,

The price for a surfboard is $150 and the price for a wakeboard is $100.

Consider the number of surfboards = x and the number of wakeboards = y.

The shop owner can make no more than 50 wakeboards and surfboards combined.

So, we can write this as

x + y ≤ 50....(1)

He wants to make at least $3000 a month. So, we can write this as

150x + 100y ≥ 3000....(2)

Thus, the two inequality equations form a system of inequalities.

When they graphed, we get the possible combinations of the number of surfboards and the number of wakeboards.

The graph for the obtained inequalities is shown in the figure below.

From the graph, we can choose any of the combinations that are in the intersection of both graphs of the system.

Here, take (10, 40) and (30, 20) coordinates that are considered from the intersecting area of both inequalities.

Here, the first inequality equation x + y ≤ 50 is considered for the first quadrant only I.e., 0 < x + y ≤ 50. This is because the number boards should always be positive values.

Therefore, the possible combinations of surfboards and wakeboards that he need to sell to make at least $3000 are

10 surfboards + 40 wakeboards

or

30 surfboards + 20 wakeboards

(There are some more combinations we can get from the graph).

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Answer:

13

Step-by-step explanation:

3n=12+1=13

The smallest number that will make it divisible by 11 is n = 2 and the number is A = 7,01,69,302

Given data ,

Let the missing number be represented as n

Now , the value of the original number is A = 7,01,69,30*​

where * represents = n

To make a number divisible by 11, the difference between the sum of the digits in the odd-numbered positions and the sum of the digits in the even-numbered positions must be a multiple of 11.

On simplifying the equation , we get

To make the difference between the sums a multiple of 11, we need to add the smallest digit to the end. The smallest digit is 8

Hence , the number that is divisible by 11 is 7,01,69,302

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The car uses gas at a rate of 26 miles per gallon.

Distance refers to the measurement of how far apart or how much space exists between two objects or points. It can be measured in various units such as meters, kilometers, feet, miles, etc., and can be calculated using different methods depending on the context and purpose of the measurement.

To find the rate at which Lucy's car uses gas, we need to divide the distance traveled by the amount of gas used.

First, we need to convert the mixed number of distance traveled to an improper fraction:

19 1/2 = (2 * 19 + 1) / 2 = 39/2

Now we can divide the distance traveled by the amount of gas used:

Rate = Distance traveled / Amount of gas used

Rate = (39/2) / (3/4)

Reciprocal:

Rate = (39/2) * (4/3)

We can simplify this expression by canceling out the factor of 2 in the numerator and the denominator:

Rate = 39 * 2 / 3 = 26

Therefore, the car uses gas at a rate of 26 miles per gallon.

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The solution to the equation 3x = 8 - 2x is x = 1.6.

To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:

Express the equation in the form of y = f(x). Rearrange the equation:

3x + 2x = 8

5x = 8

x = 8/5 or 1.6

Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.

Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.

The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).

Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.

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The equation of each line that satisfies the given conditions are:

1. y - 2 = 5/2(x - 3)

2. y - 4 = m(x + 3)

3. y = -3x + 5

1. Given the points, (3, 2) and (5, 7), find the slope (m):

Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)

m = 5/2

Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):

y - 2 = 5/2(x - 3)

2. Given:

A point = (-3, 4)

Slope (m) = 2

Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):

y - 4 = m(x + 3) [equation of the line]

3. Given:

Slope (m) = -3

Y-intercept (b) = 5

Substitute m = -3 and b = 5 into the equation y = mx + b:

y = -3x + 5

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If regular pay applies to anything up to 40 hours. After 40 hours, he makes overtime pay on the remaining hours. his gross pay be for last week is: b. $550.

Gross pay can be defined as the entire salary of an employee before deduction.

Regular pay last week = 40 hours × 10

Regular pay last week = $400

Overtime pay last week = (50 hours - 40 hours) × 15

Overtime pay last week = 10× 15

Overtime pay last week= $150

Gross pay = $400 + $150

Gross pay = $550

Therefore the gross option is B.

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If you're looking for x, then:

2 = |x|-1

lxl-1 = 2

lxl-1+1=2+1

lxl=3

so x = -3, x=3

Answer:

Mobile Plus

Step-by-step explanation:

647.2 is your answer

may you please help me with my newest question?

9514 1404 393

Answer:

  560 m

Step-by-step explanation:

Jill's distance is given as 250 m.

John's distance can be computed as ...

  distance = speed × time = (70 m/min)(3 min) = 210 m

Suzy's distance is given as 100 m.

Then the total distance is ...

  250 m + 210 m + 100 m = 560 m

The distance traveled is 560 m in this relay.

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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