Answer: 0.24z
Step-by-step explanation: If you make 24% a decimal you will get 0.24. Then you make your equation 0.24z or 0.24 x z .
What values of y and z make
The values of y and z which makes triangle (△) QRS exactly the same (≅) as triangle (△) WVX is
y = 11z = 11How do i determine the value of y?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 = 31Line QR = y + 20Value of y =?Line VW = Line QR
31 = y + 20
Collect like terms
y = 31 - 20
y = 11
Thus, the value of y is 11
How do i determine the value of z?We can obtain the value of z as follow:
Line QS = Line WXLine QS = y + 3z + 28Line WX = 6y + z - 5Value of y = 11Value of z =?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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determine what type of transformation is represented
The type of transformation represented in the figure is the translation transformation i.e. (c) none of these
Identifying the type of transformation representedGiven 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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Evaluate the following limit. Enter the exact answer in fraction form, if necessary.
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.
Simplificacion de 18/25
Answer:
Step-by-step explanation:
Ici, nous allons réduire la fraction 18/25 aux termes les plus bas et la convertir en un nombre fractionnaire, si nécessaire.
Dans la fraction 18/25, 18 est le numérateur et 25 est le dénominateur.
On commence par trouver le plus grand diviseur commun de 18 et 25, qui est 1. Ensuite, on divise 18 et 25 par le plus grand diviseur commun pour obtenir la plus petite expression, écrite comme suit :
(18 ÷ 1) / (25 ÷ 1)
= 18/25
A bank account gathers compound interest at a rate of 5% each year. Another bank account gathers the same amount of money in interest by the end of each year, but gathers compound interest each month. If Abraham puts £4300 into the account which gathers interest each month, how much money would be in his account after 2 years and 5 months? Give your answer in pounds to the nearest 1p.
Answer:
$6235 1
' 1 . ' 8
Answer:
Step-by-step explanation:
Question 14
Josh used the zeros of a polynomial to sketch the following graph of the function.
based on the graph above what are the zeros of the polynomial?
help me pls D:
quiz
The zeros of the polynomial are given as follows:
Option B: (3,0) and (-2,0)
What are the zeros of the polynomial?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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Grace The Brand Jewelry generated the following information from its financial statements:
Earnings after interest and taxes R600 000
Earnings per share R2,50 per share
Shareholder equity R1000 000
Market to book ratio 2,60
What is the company’s market price per share?
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.
im confused can anyone help me on this question?
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
Marissa ate 4 hot dogs every 16 hours. At that rate, how many would she eat in 12 hours?
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
Find the volume of this cylinder.
Give your answer to 1 decimal place.
20 cm
9 cm
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
PLEASE HELP ASAP DUE IN A HOUR
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:
help plsssss… i don’t understand & or know how to do it
Answer: sorry I can't see it.
Step-by-step explanation:
How will the product change if one number is decreased by a factor of 2 and the other is decreased by a factor of 8 ?
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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Which of the following values of x makes this inequality true? Circle all that apply
5 + x > 5
A.1/2
B. -10
C. -5
D. 0.000003
E. 1.5
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
At summer camp, 40 students are divided in two groups for swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking.
Outcome Frequency
Swimming 12
Hiking 28
Compare the probabilities and determine which statement is true.
The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 28 over 40.
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 12 over 28, but the experimental probability is one half.
The theoretical probability of swimming, P(swimming), is 28 over 40, but the experimental probability is one half.
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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Create a list of 3 numbers in which the mean is 15
Please help me to answer the question
The range of the function for one day of work is 75 ≤ y ≤ 425. So, correct option is B.
Describe Function?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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I need help finding the regression equation pls!
Answer:
i did this in 8th grade. (I'm homeschooled)
Step-by-step explanation:
Heres the best i got
Do you guys know the answer please help?
The value of x in the figure such that Ray YU is an angle bisector is 18 degrees
How to determine the value of x in the figureGiven
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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Write an equation to determine each unknown length. Then, solve the equation. Round your answer to the nearest tenth, if necessary.
X=___ Round to the nearest tenth (One number after the decimal)
Answer: 40
Step-by-step explanation:
a(2) + b(2) = c(2)
a(2) + 9(2) = 11(2)
121 - 81 = 40
Elena drinks 9 glasses of water during the day. Each glass is 250 milliliters. How many
liters of water does Elena drink during the day? Explain or show your reasoning.
Spar
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
Which of the following completes the equation 30 100 + 9 10 ?
The expression that completes the equation the result of 30/100 + 9/10 is 1.2.
What fundamental equation format is used?The typical form for linear equations with two variables is Ax+By=C. For instance, the linear equation 2x+3y=5 is in standard form. When attempting to solve problems containing two linear equations, this form is also quite helpful.
We must multiply the values of 30 and 100, then add the resulting product to the resulting product of the values of 9 and 10 in order to complete the equation 30 100 + 9 10.
The result of multiplying 30 by 100 is:
30 x 100 = 3000
The result of adding 9 and 10 is:
9 x 10 = 90
Thus, we must combine these two items to finish the equation:
3000 + 90 = 3090
30100 + 910 = 3090, which is the expression that completes the equation.
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the complete question is:
complete the equation
[tex]\frac{30}{100}+\frac{9}{10}[/tex]
Answer:
The answer is 39/100
Step-by-step explanation: Nothing more.
h (x) = (3x - 4) (x + 2)^2 (x - 5)
• (2, 0)
• (-3/4, 0)
• (4/3, 0)
• (5, 0)
The zeros of the function H(x) = (3x - 4)(x + 2)^2(x - 5) are (4/3, 0), (-2, 0), and (5, 0).
Calculating the zeros of the polynomial functionTo 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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Dan is training for a bike race. He wants to bike 300 miles over the next couples of weeks. Dan biked 29 miles a day for 3 days. Then, he biked 32 miles a day for 4 days. How many more miles does he still have to bike to get to his goal of 300 miles?
A. Sara estimated that Dan would need to bike about 80 more miles to get to his goal of 300 miles. Is this a reasonable estimate? Why or why not?
B. Write an equation for this problem with a letter standing for the unknown quantity.
C. Solve the problem. Show your work.
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
Calculate the length between the points (2, 3)
and (5. 7)
A. 3
B. 4
C. 5
D. 6
Use the distributive property to multiply the expression 9(7m+2)
Answer:
63m+18
Step-by-step explanation:
9*7m is 63m and 9*2 is 18
Combine them and you get 63m+18!
What is the sum of the infinite series:
72 - 36 + 18 - 9 +...
The calculated sum of the infinite series represented as 72 - 36 + 18 - 9 +... is 48
Calculating the sum of the infinite seriesGiven 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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HELP! triangle JKL is similar to triangle MNO. Find OM. round your answer to the nearest tenth if necessary
The length of OM, given that the triangles are similar to each other, is calculated as: 14.4.
What are Similar Triangles?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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Find the differance quotient of y=4x³-5x
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 :)
Find an equation of the line described below. Write the equation in slope intercept form( solved for y) when possible through (8,5) and (5,8)
[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]
