the initial expression is:
\(\frac{5}{8}=\frac{12}{g}\)and we can operate so:
\(\begin{gathered} g=\frac{12\cdot8}{5} \\ g=\frac{96}{5} \end{gathered}\)There are 6 red marbles, 4 blue marbles, and 15 green marbles in a jar. If you reach in and randomly draw one, what is the probability that you will choose a red marble?
Answer:
6+4+15 = 25 and since there are 6 red marbles the answer is 6/25
Answer:
6 out of 25 chance/ 24%
Step-by-step explanation:
15 + 4 = 19 + 6 = 25
6/25 = 0.24 = 24%
A large pizza has 12 slices. 5 pizzas were shared amongst 3 classrooms. How many pizzas did each classroom receive? Express answer as a mixed number fraction.
Answer:
1 2/3 pizzas
Step-by-step explanation:
12 x 5 = 60
60/3 = 20
20/12 = 1 8/12 = 1 2/3
1 2/3 pizzas
Answer:
Step-by-step explanation:
There are a total of 5 x 12 = 60 slices of pizza.
To divide the 60 slices of pizza equally among 3 classrooms, we can perform the following division:
60 ÷ 3 = 20
Each classroom received 20 slices of pizza.
To express this as a mixed number fraction, we can write:
20 = 18 + 2
So each classroom received 18 slices of pizza and 2/12 (or 1/6) of a pizza.
Therefore, each classroom received 18 1/6 or 18 and 1/6 pizzas
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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What is the value of 5³ ? 15 25 125 625
Answer:125
Step-by-step explanation:
5*5*5=125
Answer:
125Step-by-step explanation:
5*5=25
25*5=125
The function
f(x) = 5sqrt(x + 13) + 5 has an inverse f ^ - 1 * (x) defined on the domain x < 5 Find the inverse. x >= - 13
The inverse function: \(f^{-1} (x) =\) \((\frac{x -5}{5} )^{2} -13\)
The inverse is defined on the domain x < 5 and x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5.
What is a function?A function is a relationship that exists between two sets of numbers, with each input from the first set, known as the domain, corresponding to only one output from the second set, known as the range.
Given function is; \(f(x) = 5\sqrt{(x + 13)} + 5\)
To find the inverse of the given function, we first replace f(x) with y:
⇒ \(y = 5\sqrt{(x + 13)} + 5\)
Subtract 5 from both sides:
⇒ \(y -5 = 5\sqrt{(x + 13)}\)
⇒ \(\frac{(y -5)}{5} = \sqrt{(x + 13)}\)
⇒ \((\frac{y -5}{5} )^{2} = x + 13\)
⇒ \((\frac{y -5}{5} )^{2} -13 = x\)
Now we have x in terms of y, so we can replace x with f⁻¹(x) and y with x to get the inverse function:
f⁻¹(x) = \((\frac{x -5}{5} )^{2} -13\)
The domain of the inverse function is x ≥ 5, because this is the range of the original function, and we were given that the inverse is defined on the domain x < 5. However, we must also exclude the value x = 5, because the denominator of the fraction \((\frac{x -5}{5} )^{2}\) becomes zero at this value. Therefore, the domain of f⁻¹(x) is x > 5.
We were given that x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5. Therefore, the domain of the inverse function becomes the range of the original function, and the range of the inverse function becomes the domain of the original function.
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What is the equation of the line in slope intercept form?
Answer:
y = x + 60
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
S 4xy
when x = 2, y = 5
Answer: 40
Step-by-step explanation:
Plug in the known values:
4(2)(5) = 8(5) = 40
Answer:
its 40 hope this helps you
Step-by-step explanation:
have a nice day/night
I have a circle that has a radius of 8 in. What is the circumference of the circle? What is the area of the circle? ( use 3.14 for pi).Explain your steps. Please Give A clear explanation The best answer gets brainliest.
Answer:
The circumference is 50.24 in. and the area is 200.96 in².
Step-by-step explanation:
The circumference formula is C = 2πr where C = Circumference, π = pi and r = radius. We know that r = 8 and π = 3.14 and that we're solving for C, so we can substitute those values into the equation to get C = 2 * 3.14 * 8 = 50.24 in.
The area formula is A = πr² where A = Area, π = pi and r = radius. Again, we're solving for A and we know that r = 8 and π = 3.14 so A = 3.14 * 8² = 3.14 * 64 = 200.96 in².
Answer:
The circumference is 50.24 in. and the area is 200.96 in².
Step-by-step explanation:
MARK SNOG AS BRAINLIEST
Tori worked 48 hours one week. Her hourly pay for 40 hours is $16.20. Her overtime rate is 1.5. What was her
total pay that week?
a line passeds througt the point (4, -6) and has a slope of -3/4. which is the equation of the line
Answers :
y+7=-4x+32
y=-4x+25 is answer
Step-by-step explanation:
Eq of a line y-p=m(x-q) where (q,p) is any point on the line and m is slope
y-(-7)=-4(x-8)
The spring shown below is sitting on a flat surface and it is pushed together with a weight.
What type of energy does the spring currently have?
A.
elastic potential energy
B.
kinetic energy
C.
gravitational potential energy
D.
chemical potential energy
Help plz
Answer:
its elastic i got it correct trust me also put brainliet plz
Step-by-step explanation:
Two types of tickets are available for a charity ball event: $18 for a reserved seat and $9 for general admission. The number of reserved seats available is 85 less than the number of tickets available for general admission. If the sale of tickets for the day was $3,600, how many seats were allotted for general admission?
Answer:
# of reserved seats = R; # of general admission seats = G
G - R = 85
$18R + $9G =$3600
Multiply 1st equation by 18: 18G - 18R = 1530
Rearrange 2nd equation: $9G + $18R =$3600
Combine the equations: 27 G = 5130
G = 190
R = 105
Step-by-step explanation:
Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124 families and finds that, on average, those families visit a farmers' market 4.2 times per month with a sample standard deviation of 1.3. If Mika wants to be 99% confident (z=2.58) using this sample, what should her margin of error be and what does it mean?
Answer:
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
Step-by-step explanation:
Margin of error
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation and n is the size of the sample.
Standard deviation of 1.3
This means that \(\sigma = 1.3\)
She surveys 124 families
This means that \(n = 124\)
Margin of error and meaning:
\(M = z\frac{\sigma}{\sqrt{n}}\)
\(M = 2.58\frac{1.3}{\sqrt{124}}\)
\(M = 0.3012\)
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
2/5X + 1/4Y = 9/20
2/3X + 5/12 = 3/4
A)X = 0
B)X = 1
C)There are no solutions to the system.
D)There are infinite solutions to the system.
Using Cramer’s Rule, the value of x is 0
How to determine the value of x?We have:
2/5X + 1/4Y = 9/20
2/3X + 5/12 = 3/4
Represent as a matrix
\(\left[\begin{array}{cc}2/5&1/4\\2/3&5/12\end{array}\right] \left[\begin{array}{c}9/20&3/4\end{array}\right]\)
Start by calculating the determinant of the matrix
A = 2/4 * 5/12 - 2/3 * 1/4
Evaluate the product
A = 5/24 - 1/6
Evaluate the difference
A = (5 - 4)/24
|A| = 1/24
Next, replace the last column with the first
\(\left[\begin{array}{cc}9/20&1/4\\3/4&5/12\end{array}\right]\)
Calculate the determinant
|x| = 9/20 * 5/12 - 1/4 * 3/4
Evaluate the product
|x| = 3/16 - 3/16
Evaluate the difference
|x| = 0
The value of x is then calculated as:
x = |x|/|A|
So, we have:
x = 0/(1/24)
Evaluate
x = 0
Hence, the value of x is 0
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0 and no solutions are both wrong, but dont know the acrual answer lol
Sandy used a virtual coin toss app to show the results of flipping a coin 100 times, 500 times, and 1,000 times. Explain what most likely happened in Sandy's experiment.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 100 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 500 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 1,000 flips.
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
If Sandy used a virtual coin toss app to show the results of flipping a coin 100 times, 500 times, and 1,000 times. The things that most likely happened in Sandy's experiment is: C. Sandy's experimental probability was closest to the theoretical probability in the experiment with 1,000 flips.
What is the experimental probability ?Sandy's experimental probability was closest to the theoretical probability in the experiment with 1,000 flips.
This is because as the number of trials increases, the experimental probability tends to as well approach the theoretical probability. The theoretical probability of getting heads or tails in a fair coin flip is always 0.5 or 50%. The larger the sample size, the more likely the experimental probability will be close to the theoretical probability.
Therefore the correct option is C.
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PLZZZZZZZZZZZZZZZ HURRYYYYYYYYYY!!!!!!!!!!!!!!!!!!!!!! plzzzzzzzzzzzzzzzzzzz A girl scout troop is selling cookies. on wednesday, the group set up their stand and sold 1/12 of their boxes in 15 minutes. At this rate how much of their cookies could they sell in one hour
NO LINKS!! URGENT HELP PLEASE!!!
Please help me with Growth rate and Initial Value only
Answer:
growth rate: 4
y-value: 19
equation: y=4x+19
Step-by-step explanation:
Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.
For the question:
The change in y-values is 11-7=4,
and the change in x-values is +1.
Therefore, the growth rate is 4.
\(\hrulefill\)
Initial Value: The initial value of a linear function is the value of the function when x is 0.
In this case, the initial value is 19.
This can be found by looking at the y-value of the point where x is 0.
In this case, the y-value is 19.
\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Using the table you provided, we can find the slope by using two points on the line.
Let’s use (-3, 7) and (1, 23).
The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4
Now,
Taking 1 point (-3,7) and slope 4.
we can find the equation by using formula:
y-y1=m(x-x1)
y-7=4(x+3)
y=4x+12+7
y=4x+19
Therefore, the equation of the given table is y=4x+19\(\hrulefill\)
Answer:
Growth rate: 4
Initial value: 19
Equation: y = 4x + 19
Step-by-step explanation:
The slope of a linear function represents its growth rate.
Therefore, the growth rate of a linear function can be found using the slope formula.
Substitute two (x, y) points from the table into the slope formula, and solve for m. Substituting points (0, 19) and (1, 23):
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)
Therefore, the growth rate of the linear function is 4.
The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.
From inspection of the given table, y = 19 when x = 0.
Therefore, the initial value of the linear function is 19.
To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.
As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:
\(\boxed{y=4x+19}\)
Please help asap!
What does the notation below indicate?
Answer:
Step-by-step explanation:
I reckon C. That symbol in the middle is a congruent angles symbol. hope this helps!
Which postulate or theorem would you use to prove these two triangles congruent?
Answer:
SSS
Step-by-step explanation
youre given only side conguencys, so you cant prove the angles are conguent
need help with asap!!!!!
Answer:
it is right triangle so we have trigonometric ratio: tan(54)=3/x and from that we have x=3/tan(54)
Ribbon wands are made from strips of ribbon tied to sticks. Connie has 84 feet of red ribbon, 48 feet of blue ribbon, and 72 feet of white ribbon. She wants to cut the ribbons into equal lengths that are as long as possible so that no ribbon is wasted
How many pieces of each color will she have?
Answer
Connie can cut the ribbon into 12 foot pieces.
Step-by-step explanation:
For these problems we should find the GCF, which is 12.
42=-7(z-3) what does a equals?
z=-3
Explanation
\(42=-7(z-3)\)
Step 1
divide both sides by -7
\(\begin{gathered} 42=-7(z-3) \\ \frac{42}{-7}=\frac{-7(z-3)}{-7} \\ -6=(z-3) \\ -6=z-3 \end{gathered}\)Step 2
add 3 in both sides
\(\begin{gathered} -6=z-3 \\ -6+3=z-3+3 \\ -3=z \\ \end{gathered}\)so,the answer is
z=-3
Is 3+(−4) the same as −4+3? Explain. 3+(−4) the same as −4+3 because of the Property of Addition.
Answer: The − sign here means subtraction. However, recall that 4 − 7 can be rewritten as 4 + (−7), since subtracting a number is the same as adding its opposite.
Step-by-step explanation:
Yes, 3 + (-4) is the same as -4 + 3, and this is due to the Commutative Property of Addition
Is 3+(−4) the same as −4+3? Explain. 3+(−4) the same as −4+3 because of the Property of Addition.The Commutative Property of Addition states that the order in which numbers are added does not change the result. In other words, when adding two or more numbers, we can change the order of the numbers without affecting the final sum.
So, in the case of 3 + (-4) and -4 + 3:
3 + (-4) = -1
-4 + 3 = -1
Both expressions have the same result of -1, which confirms that they are equal, and it's because of the Commutative Property of Addition.
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Translate therword phrase into an algebraic expression, but do not simplify. four times the quantity of three less than twice x
Answer: 4(3-2x)
Step-by-step explanation:
what is the answer?
If y = -3 cos (2x), then derivative d²y / dx² is 12 cos (2x)
Given,
y = -3 cos (2x)
We have to find derivative d²y / dx²
d²y / dx² = -3 (d² cos x / dx²) = -3 d/dx (d cos 2x / dx)
According to the concept:
d cos x / dx = - sin x
Here,
d cox 2x / dx = - sin 2x
So,
d²y / dx² = (- 3 × 2) d/dx (- sin 2x)
d²y / dx² = -6 (d sin 2x / dx)
d²y / dx² = 2 × 6 cos 2x
d²y / dx² = 12 cos (2x)
That is, if y = -3 cos (2x), then derivative d²y / dx² is 12 cos (2x)
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Answer if you know your right, bur dont answer just for the points
Answer:
c
Step-by-step explanation:
166% is also equal to 1.66 as a decimal. 1 2/3 as a decimal is 1.6666 repeating. It can't be 166% because they are equal.
7/3 is equal to 2 1/3. Without converting it to a decimal, you already know 2 is bigger than 1, so option c is your answer.
Answer:
C.
Step-by-step explanation:
7/3 = 2.3 > 1 2/3
Solve the given equation for x.
2x-B = 10
Answer:
x=5+b/2
Step-by-step explanation:
move all terms that dont contain x to the right, and solve
Answer:
2 times 6-2+10
Step-by-step explanation:
PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
Answer:
Part A: From the table, it is clear that as the number of workers increases, the number of units produced also increases. This indicates a positive correlation between the number of workers and the number of units produced. As the number of workers increases by 10, the number of units produced also increases by 50. This pattern is consistent throughout the data, which supports the conclusion that there is a positive correlation between the number of workers and the number of units produced.
Part B: A function that best fits the data is y = 5x + 2, where y is the number of units produced and x is the number of workers. This function can be determined by using the slope-intercept form of a linear equation (y = mx + b) and substituting the values for the slope and y-intercept from the data. The slope (m) of the function is 5 and the y-intercept (b) is 2.
Part C: The slope of the plot (5) represents the rate of change in the number of units produced for every 1 unit change in the number of workers. In this case, for every 1 additional worker, the number of units produced increases by 5. The y-intercept (2) represents the point at which the line intercepts the y-axis when x = 0. In this case, when there are no workers, 2 units are produced.
Two ordinary fair dice are thrown. The resulting score is found as follows.
• If the two dice show different numbers, the score is the smaller of the two numbers.
• If the two dice show equal numbers, the score is 0.
(i) Draw up the probability distribution table for the score.
The probability distribution table is shown below
How to determine the probability distribution tableFrom the question, we have the following parameters that can be used in our computation:
Dice = 2
This means that
Sample size = 6 * 6
Sample size = 36
So, the number of outcomes is 36
To determine the distribution table, we need to identify that the dice are distinct.
This means that (1, 2) and (2, 1) are not the same outcomes
We can create a probability distribution table for the score by listing all possible outcomes and their probabilities, and then determining the score for each outcome based on the rules given.
So, we have
Outcomes Probability
(1, 1) 1/36
(1, 2) 1/36
(1, 3) 1/36
(1, 4) 1/36
(1, 5) 1/36
(1, 6) 1/36
........
(6, 1) 1/36
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Amy is single with a salary of $50,000. She has been offered a new position that will raise her salary to $53,000.
The cut-off between the 18% and 25% tax brackets is $51,250. How much will her tax liability increase if she accepts the new position?