How do l do this question new topic

Answer: 3

Step-by-step explanation:

Answer:  3

Step-by-step explanation:

16/4=unit rate =4

1 in 4 hour

3 for 12 hours

The length of OM, given that the triangles are similar to each other, is calculated as: 14.4.

Similar triangles are triangles that have the same shape but may have different sizes. They have the same angles, but the lengths of their sides are proportional. This means that corresponding sides of similar triangles are in proportion, and the ratio of their corresponding sides is constant.

Since triangle JKL is similar to triangle MNO, therefore:

JK/MN = JL/MO

Substitute:

5/24 = 3/x

Cross multiply:

5x = 72

5x/5 = 72/5

x = 14.4

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Answer:

Step-by-step explanation:

a. Sara's estimate is reasonable because:

Dan has biked for 7 days so far, 29 miles for 3 days and 32 miles for 4 days.

If you round 29 and 32 up and down respectively to 30, then Dan will of have ridden about 30 * 7, or 120 miles so far. 300-120 is 80, so that is a good estimate.

b. If x stands for the miles Dan still needs to bike, then:

(29*3) + (32*4) + x = 300

c. 87 + 128 + x = 300

x = 85

Answer:

51

Step-by-step explanation:

3x+4y^2

3(5)+4(3)^2

3(5)+4(9)

15+36

51

Answer: 51

Step-by-step explanation:

let's bear in mind that on the III Quadrant, sine and cosine are both negative, whilst on the IV Quadrant, sine is negative and cosine is positive, that said

[tex]\cos(\alpha )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\hspace{5em}\textit{let's find the \underline{opposite side}} \\\\\\ \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{5}\\ a=\stackrel{adjacent}{3}\\ o=opposite \end{cases} \\\\\\ o=\pm \sqrt{ 5^2 - 3^2} \implies o=\pm \sqrt{ 16 }\implies o=\pm 4\implies \stackrel{IV~Quadrant }{o=-4} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\tan(\beta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\implies \tan(\beta )=\cfrac{\stackrel{opposite}{-4}}{\underset{adjacent}{-3}} \\\\[-0.35em] ~\dotfill\\\\ \tan(\alpha + \beta) = \cfrac{\tan(\alpha)+ \tan(\beta)}{1- \tan(\alpha)\tan(\beta)} \\\\\\ \tan(\alpha + \beta)\implies \cfrac{ ~~\frac{-4}{3}~~ + ~~\frac{-4}{-3} ~~ }{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \cfrac{0}{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \text{\LARGE 0}[/tex]

Answer:

12x² + 12xh + 4h² - 5

Step-by-step explanation:

f(x + h) - f(x) / h

= [4(x + h)³ - 5(x + h)] - [4x³ - 5x] / h

= [4x³ + 12x²h + 12xh² + 4h³ - 5x - 5h] - [4x³ - 5x] / h

= 4x³ + 12x²h + 12xh² + 4h³ - 5x - 5h - 4x³ + 5x / h

= 12x²h + 12xh² + 4h³ - 5h / h

= 12x² + 12xh + 4h² - 5

Hope this helps :)

Answer: 40

Step-by-step explanation:

a(2) + b(2) = c(2)

a(2) + 9(2) = 11(2)

121 - 81 = 40

The zeros of the polynomial are given as follows:

Option B: (3,0) and (-2,0)

The zeros of a polynomial function are the values of the independent variable (usually denoted by x) that make the function equal to zero. In other words, they are the values of x for which the function crosses the x-axis.

The values of x for which the graph of the polynomial crosses the x-axis are given as follows:

x = -2 and x = 3.

At these points, the y-coordinate is of zero, hence the points on the graph are given as follows:

(3,0) and (-2,0).

Meaning that the correct option is given by option B.

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Answer:

7

Step-by-step explanation:

if you add 7 4's you get 28.

4+4=8+4=12+4=16+4=20+4=24+4=28

now if you count all the single 4's then you will get 7

Answer:

Step-by-step explanation:

The theoretical probability of an event is the number of favorable outcomes over the total number of possible outcomes. In this case, the total number of possible outcomes is 2, since each camper can either swim or hike. The number of favorable outcomes for swimming is also 2 (heads on a coin flip). Therefore, the theoretical probability of swimming is 2/2 or 1/2.

The experimental probability of an event is the number of times the event occurred in the experiment divided by the total number of trials. In this case, there were 12 students who chose to swim out of 40 total students. Therefore, the experimental probability of swimming is 12/40 or 3/10.

Comparing the two probabilities, we see that the theoretical probability of swimming is 1/2 while the experimental probability of swimming is 3/10. Therefore, the statement "The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 12 over 40" is true.

The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 12 over 40.

The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 12 over 40. (option b)

The theoretical probability of an event is calculated based on the assumption of equal likelihood for all possible outcomes. In this case, since each student flips a fair coin, there are two equally likely outcomes: heads (swimming) and tails (hiking). Therefore, the theoretical probability of swimming (P(swimming)) is 1/2, and the theoretical probability of hiking is also 1/2.

However, the experimental probability is determined by the actual outcomes observed in the experiment. According to the data provided, out of the 40 students, 12 students got heads (swimming) and 28 students got tails (hiking). To find the experimental probability of swimming, we divide the number of students who swam by the total number of students:

12/40 = 0.3.

The theoretical probability of swimming, P(swimming), is one half (0.5), but the experimental probability is 28 over 40 (0.7).

The theoretical probability of swimming, P(swimming), is one half (0.5), but the experimental probability is 12 over 40 (0.3).

The theoretical probability of swimming, P(swimming), is 12 over 28 (~0.4286), but the experimental probability is one half (0.5).

The theoretical probability of swimming, P(swimming), is 28 over 40 (0.7), but the experimental probability is one half (0.5).

Out of these options, the correct one is the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 12 over 40. (option b).

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Answer:

A. 1/2

D. 0.000003

E. 1.5

Step-by-step explanation:

The inequality 5 + x > 5 can be simplified as follows:

5 + x > 5

x > 5 - 5

x > 0

The range of the function for one day of work is 75 ≤ y ≤ 425. So, correct  option is B.

In mathematics, a function is a mathematical object that takes an input (or several inputs) and produces a unique output. It is a relationship between a set of inputs, called the domain, and a set of outputs, called the range.

Formally, a function f is defined by a set of ordered pairs (x, y) where x is an element of the domain, and y is an element of the range, and each element x in the domain is paired with a unique element y in the range. We write this as f(x) = y.

The linear function that models the daily cost of hiring an electrician can be written as:

y = 50x + 75

where x is the number of hours worked by the electrician and y is the cost in dollars.

Since the electrician works a maximum of 7 hours per day, the domain of the function is 0 ≤ x ≤ 7.

To find the range of the function, we can substitute the maximum and minimum values of x into the function and see what values of y we get:

When x = 0 (no hours worked), y = 50(0) + 75 = 75.

When x = 7 (maximum hours worked), y = 50(7) + 75 = 425.

Therefore, the range of the function for one day of work is:

75 ≤ y ≤ 425

So the answer is (B) 75 ≤ y ≤ 425.

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Answer:

$6235 1

' 1 . ' 8

Answer:

Step-by-step explanation:

Answer:

i did this in 8th grade. (I'm homeschooled)

Step-by-step explanation:

Heres the best i got

Answer:

Step-by-step explanation:

Answer:

= 3x - 5/(6x)

Step-by-step explanation:

El triple de x es: 3x

La expresión es:

3x - 5/(6x)

The values of y and z which makes triangle (△) QRS exactly the same (≅) as triangle (△) WVX is

We must note here that the sign, ≅ means exactly the same. Thus,

Line VW = Line QR

The following were obtained from the question:

Line VW = Line QR

31  = y + 20

Collect like terms

y = 31 - 20

y = 11

Thus, the value of y is 11

We can obtain the value of z as follow:

Line QS = Line WX

y + 3z + 28 = 6y + z - 5

11 + 3z + 28 = 6(11) + z - 5

11 + 3z + 28 = 66 + z - 5

3z + 39 = z + 61

Collect like terms

3z - z = 61 - 39

2z = 22

Divide both sides by 2

z = 22 / 2

z = 11

Thus, the value of z is 11

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The type of transformation represented in the figure is the translation transformation i.e. (c) none of these

Given the triangles ABC and A'B'C'

The transformation between the triangles is translation

The translation transformation is a type of transformation that moves an object without changing its size, shape, or orientation.

This transformation involves sliding an object in a particular direction by a certain distance, either horizontally or vertically.

In this case, the direction is horizontally and vertically

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The calculated sum of the infinite series represented as 72 - 36 + 18 - 9 +... is 48

Given that we have the following infinite series

72 - 36 + 18 - 9 +...

In the above series, we have the following parameters

Initial value, a = 72

Common ratio, r = -36/72

When the above are evaluated, we have

Initial value, a = 72

Common ratio, r = -0.5

The sum of the infinite series is then calculated as

Sum = a/(1 - r)

When values are substituted, we have

Sum = 72/(1 + 0.5)

Evaluate

Sum = 48

Hence, the sum is 48

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Answer:

Step-by-step explanation:

We can use the market-to-book ratio to calculate the company's market price per share.

Market-to-book ratio = Market value per share / Book value per share

Book value per share = Shareholder equity / Number of shares outstanding

We are given the market-to-book ratio as 2.60, and the shareholder equity as R1000 000. We can calculate the book value per share as follows:

Book value per share = R1000 000 / Number of shares outstanding

To calculate the number of shares outstanding, we can use the earnings per share (EPS) formula:

EPS = Earnings / Number of shares outstanding

We are given the earnings per share as R2.50, and the earnings after interest and taxes as R600 000. Substituting these values, we get:

R2.50 = R600 000 / Number of shares outstanding

Solving for Number of shares outstanding:

Number of shares outstanding = R600 000 / R2.50 = 240,000 shares

Now, we can calculate the book value per share:

Book value per share = R1000 000 / 240,000 = R4.17 per share

Finally, we can calculate the market value per share using the market-to-book ratio:

Market-to-book ratio = Market value per share / Book value per share

2.60 = Market value per share / R4.17

Market value per share = 2.60 x R4.17 = R10.83 per share

Therefore, the company's market price per share is R10.83.

Answer:

48 cookies were in the bag.

Step-by-step explanation:

It said 12 was 25%, so you want to multiply it by 4 to get 100% and 100% of the bag was 48 cookies.

Answer: sorry I can't see it.

Step-by-step explanation:

Answer:

To evaluate this limit, we can factor out the highest power of x from the numerator and denominator, which is x^14. Then, we can divide both the numerator and denominator by x^14. This gives:

lim x→∞ (6x^14 + 8x^11 + 37x^14) / x^14

= lim x→∞ (6x^14 / x^14 + 8x^11 / x^14 + 37x^14 / x^14)

= lim x→∞ (6 + 8 / x^3 + 37)

= 6 + 0 + 37 (since as x approaches infinity, 8/x^3 approaches zero)

= 43

Therefore, the value of the limit is 43.

The zeros of the function H(x) = (3x - 4)(x + 2)^2(x - 5) are (4/3, 0), (-2, 0), and (5, 0).

To find the zeros of the function H(x), we need to find the values of x that make the function equal to zero.

H(x) = (3x - 4)(x + 2)^2(x - 5)

Setting H(x) equal to zero, we have:

(3x - 4)(x + 2)^2(x - 5) = 0

Using the zero product property, we can see that H(x) will be equal to zero when any of the factors are equal to zero.

So, the zeros of the function H(x) are:

3x - 4 = 0, which gives x = 4/3

x + 2 = 0, which gives x = -2

x - 5 = 0, which gives x = 5

Therefore, the zeros of the function H(x) are (4/3, 0), (-2, 0), and (5, 0).

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The value of x in the figure such that Ray YU is an angle bisector is 18 degrees

Given

The figure

Such that Ray YU is an angle bisector

An angle bisector is a line or a ray that divides an angle into two equal parts or halves.

In other words, an angle bisector divides an angle into two smaller angles with equal measures.

The point where the angle bisector intersects the opposite side is the angle bisector point

This means that

2x = 36

So, we have

x = 18

Hence, the value of x in the figure is 18

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The product is decreased by a factor of 16.

What is a factor?

In mathematics, a factor is a number or quantity that, when multiplied with another number or quantity, produces a given result. For example, in the expression 3 x 4 = 12, 3 and 4 are factors of 12. Factors can also refer to algebraic expressions, where they are the expressions that are multiplied together to obtain a larger expression.

Let's say we have two numbers, A and B, and we want to find the product of A and B.

The product of A and B is AB.

If we decrease A by a factor of 2, the new value of A becomes A/2. If we decrease B by a factor of 8, the new value of B becomes B/8.

So the new product of A/2 and B/8 is:

(A/2)(B/8) = AB/16

Therefore, the product is decreased by a factor of 16.

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Answer:

2.25

Step-by-step explanation:

9 × 250 m = 2250 mL

1 L = 1000 m

2250 mL × (1 L)/(1000 mL) = 2.25 L

Step-by-step explanation:

the answer will be 1272.7cm3

the formula of the volume of the cylinder is pie×radius squared×height so,

we will get the radius and the radius is half of the diameter and the diameter is 9 so 9÷2=4.5 and then it will be squared so it will be 20.25cm2 and so we will write it this way

3.14×20.25×20=1271.7cm3

hope this helped

xoxo adham

[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}[/tex]