Solution
\(\begin{gathered} Given\text{ }\sqrt[3]{1080} \\ =\sqrt[3]{2^3\cdot \:3^3\cdot \:5} \\ =\sqrt[3]{2^3}\sqrt[3]{3^3}\sqrt[3]{5} \end{gathered}\)Solving,
\(\begin{gathered} =2\cdot \:3\sqrt[3]{5} \\ =6\sqrt[3]{5} \end{gathered}\)Hence, the student made their first mistake at step 4
And the mistake is, making 5^1/3 = 5
A typist type 1800 words in 1 hour. find the number of words she can type per minute.
Answer:
1800/60=30
Step-by-step explanation:
Answer:
the first answer is correct
usa a straightedge and a compass to construct a segment of length ab+cd ILL GIVE BRAINLIEST
Step-by-step explanation:
To create a perpendicular bisector, you need a compass, a straightedge, and a pencil. As well as the line segment AB drew down.
1> You start by opening the compass and stretching it to a width greater than half the length of AB.
2> Then you simply place one point of the compass on the line segments A. From here, you move the compass and draw arcs above and below the line AB.
3> Without moving the compass measure, remove it from point A and place it onto point B. You basically repeat step 2 by drawing arcs above and below the line again.
4> If you've done it right, the arcs should be in the middle, X and Y, and using a straightedge/ruler you draw a line that goes vertically through where they connect.
and that should be your perpendicular bisector using segment AB.
PLS HELP ME WITH THIS QUESTION PLS SHOW YOUR WORKING OUT
The maximum volume of the cylinder is approximately 1257 cubic centimeters.
What is the maximum volume of the cylinder?The volume V of a right circular cylinder with radius r and height h is given by:
V = πr²h
Substituting the given expressions for the radius and height of the cylinder, we get:
V = πx²(800/πx - x)
Simplifying the expression, we get:
V = 800x - πx³
To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:
dV/dx = 800 - 3πx² = 0
3πx² = 800
x² = 800/3π
x ≈ 6.43
Substituting this value of x back into the expression for V, we get:
V ≈ 1257
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Find the number of students in the class if 2/3 of the students are girls and the number of boys is 21.
Which of the following is the value of sin -1(square root 2/2)
The value of sin -1(square root 2/2) is π/4 or 45 degrees.
Describe Inverse Sine?Inverse sine, also known as arcsine, is a trigonometric function that is the inverse of the sine function. It is denoted as sin^-1(x), where x is a number between -1 and 1.
The inverse sine function is used to find the angle in a right triangle that has a given sine value. In other words, if we know the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle, we can use the inverse sine function to find the measure of that angle.
The inverse sine function returns an angle in radians, which can be converted to degrees if needed. It has a domain of -1 ≤ x ≤ 1 and a range of -π/2 ≤ sin^-1(x) ≤ π/2.
Like other inverse trigonometric functions, the inverse sine function is a multivalued function. This means that for a given value of x, there can be multiple angles that satisfy sinθ = x. To address this, the principal value of the inverse sine function is defined as the angle between -π/2 and π/2 that satisfies sinθ = x.
The inverse sine function has many applications in mathematics, physics, engineering, and other fields. It is used in the calculation of angles in a variety of contexts, such as in the design of structures and in the analysis of wave phenomena. It is also used in calculus and other advanced mathematics courses to solve integrals and differential equations.
To see why, we can use the definition of the inverse sine function, which gives us the angle whose sine is equal to the input value. In this case, we have:
sin -1(square root 2/2) = θ
where sin(θ) = square root 2/2.
We know that the sine of 45 degrees (or π/4 radians) is also equal to square root 2/2. Therefore, we have:
sin(45 degrees) = square root 2/2
Taking the inverse sine of both sides gives us:
sin -1(square root 2/2) = 45 degrees = π/4
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Decide whether the rates are equivalent. Maria saves $50 in 4 months.
Ralph saves $60 in 5 months
Answer:
The rates are not equivalent since Maria saves $0.50 more per month than Ralph.
Step-by-step explanation:
We can determine if two rates are equivalent by comparing the rates at which they save per month.
Maria's savings per month:
Both 50 and 4 can be divided by 2, which gives us 25/2. As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.
Ralph's savings per month:
Both 60 and 5 can be divided by 5, which gives us 12. Thus, Ralph saves $12 per month.
Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.
6,370 x 30 find the products
Answer: The product of 6,370*30 is 191,100
15 points help with math pls
Answer:
b or c i think
Step-by-step explanation:
not for sure just a guess
A copy machine makes 44 copies per minute. How many copies does it make in minutes 5 and 15 seconds?
Answer:
231
Step-by-step explanation:
5 minutes + 15 seconds = 5.25 minutes
44 × 5.25 minutes = 231 copies
you have 51 coins in your pocket, all dimes and quarters. You have $10.20. How many dimes and quarters do you have?
To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.
To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.
We know that there are 51 coins in total, so we can write the equation: d + q = 51.
We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.
To solve this system of equations, we can use substitution or elimination. Let's use substitution:
Rearrange the first equation to solve for d: d = 51 - q.
Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.
Simplify and solve for q: 510 - 10q + 25q = 1020.
Combine like terms: 15q = 510.
Divide both sides by 15: q = 34.
Now substitute this value back into the first equation to solve for d: d + 34 = 51.
Subtract 34 from both sides: d = 17.
Therefore, you have 17 dimes and 34 quarters.
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Use the stem-and-leaf plot to list the actual data entries. What is the maximum data entry? What is the minimum data entry? Key: 2 | 6 equals 26 2 6 3 2 4 1 2 2 5 6 6 8 5 0 1 1 2 3 3 3 4 4 4 4 5 6 6 8 9 6 8 8 8 7 3 8 8 8 3
Answer:
The minimum data entry is, 26.
The maximum data entry is, 83.
Step-by-step explanation:
The stem-and-leaf plot provided is:
2 | 6
3 | 2
4 | 1 2 2 5 6 6 8
5 | 0 1 1 2 3 3 3 4 4 4 4 5 6 6 8 9
6 | 8 8 8
7 | 3 8 8
8 | 3
As it is mentioned that 2 | 6 equals 26, the data is:
S = {26, 32, 41, 42, 42, 56, 56, 68, 50, 51, 51, 52, 53, 53, 53, 54, 54, 54, 54, 55, 56, 56, 58, 59, 68, 68, 68, 73, 78, 78, 83}
The data is arranged in ascending order.
The minimum data entry is, 26.
The maximum data entry is, 83.
suppose that a population parameter is .7 and many samples were taken. if the size of each sample is 30 what is the standard error
The standard error is 0.0912.
The standard error (SE) is a measure of the precision of the sample mean estimate compared to the true population mean. To calculate the SE, we use the formula SE = standard deviation / square root of sample size.
In this scenario, the population parameter is 0.7, and the sample size is 30. If we assume that the sample mean is an unbiased estimator of the population mean, then the SE can be calculated using the above formula. However, we do not know the standard deviation of the population, so we use the sample standard deviation as an estimate.
Assuming the sample is large enough to assume normality, the formula becomes SE = \(\sqrt{(0.7*0.3)/30}\) = 0.0912. Therefore, the standard error for a sample size of 30 is 0.0912. This means that if we were to take multiple samples of size 30 from the same population, the standard deviation of the means of those samples would be around 0.0912 away from the population parameter of 0.7 on average.
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Please help and answer all questions from the attachments. Will give brainliest to correct answers from attachments.
Answer:
See attachments
Step-by-step explanation:
Hope this helps.
which set of numbers are equivalent
0.32 , 32% , 1/32
0.45 , 50% ,49/50
0.30, 30% , 30/300
0.15 , 15% , 30/200
i will give you 40 pionts
Each number in a list of numbers is 3 more than the number before it. The first number in the list is -4. What is the fifth number?
A 8
B. 7
C. 6
D. 5
Answer: it’s A
Step-by-step explanation: Because you add three each time, so starting from -4 you go to -1 and then 2 and then 5 and then the fourth number 8
The fifth number in the list of numbers is 8.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The first number in the list is -4.
Each number is 3 more than the number before it.
This means,
Second number = -4 + 3 = -1
Third number = -1 + 3 = 2
Fourth number = 2 + 3 = 5
Fifth number = 5 + 3 = 8
Thus,
The fifth number is 8.
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ill mark you as brainliest if you get this correct
Answer:
a) 72
b) 9
c) 9
d) 54
Step-by-step explanation:
a) 12 * 6 = 72
b) 3 * 6 = 18. 18 ÷ 2 = 9
c) 3 * 6 = 18. 18 ÷ 2 = 9
d) 72 - 18 = 54
Equivalent fraction 44/100
Answer:
11/25
Step-by-step explanation:
Both 44 and 100 can be divided by 4 wich can give you 11/25
Answer:
0.44
Step-by-step explanation:
NASA is building a satellite that is roughly the shape of a sphere. If the satellite weighs 14.25 pounds per cubic foot before launch, and has a diameter of 4.7 feet, what is the total weight in pounds of the satellite on Earth? Use π = 3.14.
Answer:
774 lb
Step-by-step explanation:
weight = volume * density
radius = diameter/2
volume = (4/3)πr^3
volume = (4/3)(3.14)(4.7/2 ft)^3
weight = (4/3)(3.14)(4.7/2 ft)^3 * 14.25 lb/ft^3
weight = 774 lb
Consider h(x) = 3x^2 +2x - 8
Identify its vertex and y-intercept.
Show all steps
Algebra 2
Answer:
Vertex: \((-\frac{1}{3},-\frac{25}{3})\)
Y-intercept: \((0,-8)\)
Step-by-step explanation:
The x-coordinate of the vertex would be \(x=\frac{-b}{2a}\) and the y-coordinate of the vertex is whatever the output is given the value of x.
Therefore, the x-coordinate of the vertex is \(x=\frac{-b}{2a}=\frac{-2}{2(3)}=\frac{-2}{6}=-\frac{1}{3}\)
This means the y-coordinate of the vertex is \(y=3x^2+2x-8=3(-\frac{1}{3})^2+2(-\frac{1}{3})-8=3(\frac{1}{9})-\frac{2}{3}-8=\frac{1}{3}-\frac{2}{3}-8=-\frac{1}{3}-8=-\frac{1}{3}-\frac{24}{3}=-\frac{25}{3}\)
So, the vertex is \((-\frac{1}{3},-\frac{25}{3})\)
The y-intercept of a function is the y-value at which x=0, or the y-value when the function crosses the y-axis. Therefore, if we plug x=0 into the function, we see that \(h(0)=3(0)^2+2(0)-8=0+0-8=-8\), so our y-intercept is -8 or (0,-8).
I attached a graph below to help you visualize the vertex and y-intercept given the function.
PLEASE HELP GIVING BRAINLIEST
Answer:
(-5-3/2,3+1/2)
(-13/2,7/2)
option A is correct
Step-by-step explanation:
Hope it helps
Answer:
v - w =
-5 - 3/2 = -13/2
and ;
3-(-1/2)
3+1/2= 7/2
therefore we get the answer
{ -13/2 , 7/2 }
option A is answer
Solve (u + 2) ^ 2 - 8= 0 , where u is a real number. Simplify your answer as much as possible . If there is more than one solution, separate them with commas. If there is no solution, click "No solution."
The equation is given as
\((u+2)^2-8=0\)Before we begin solving, we need to expand the equation:
\(\begin{gathered} (u+2)(u+2)-8=0 \\ u^2+2x+2x+4-8=0 \\ u^2+4x-4=0 \end{gathered}\)We can solve the equation using the quadratic formula:
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)where
\(\begin{gathered} a=1 \\ b=4 \\ c=-4 \end{gathered}\)Substituting, we have
\(\begin{gathered} u=\frac{-4\pm\sqrt[]{4^2-(4\times1\times-4)}}{2\times1} \\ u=\frac{-4\pm\sqrt[]{32}}{2} \end{gathered}\)Therefore, we can calculate the values of u to be
\(\begin{gathered} u=\frac{-4+\sqrt[]{32}}{2} \\ u=-2+2\sqrt[]{2} \end{gathered}\)or
\(\begin{gathered} u=\frac{-4-\sqrt[]{32}}{2} \\ u=-2-2\sqrt[]{2} \end{gathered}\)Therefore, the roots are given as
\(u=\mleft\lbrace-2+2\sqrt[]{2},-2-2\sqrt[]{2}\mright\rbrace\)The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10). On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8). On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10).
The graph is shown in the attached image.
Magan invested $210 in an account paying an interest rate of 95%
compounded quarterly. Myesha invested $210 in an account paying an
interest rate of 9% compounded continuously. After 9 years, how much
more money would Myesha have in her account than Magan, to the nearest
dollar?
The Magan has more money in her account than Myesha by $450,189 (rounded to the nearest dollar).
Define the term compound interest?Compound interest is a sort of interest that is computed on both the principal—the amount borrowed or invested at the start—and the interest that has accrued over time.
For Magan's account:
Principal amount (P) = $210, Interest rate (r) = 95% = 0.95
Number of compounding periods (n) per year = 4 (quarterly),
Time (t) = 9 years
Amount in Magan's account after 9 years would be: (compound interest)
\(A = P(1 + \frac{r}{n} )^{nt}\)
= $210 × (1 + 0.95/4)⁴*⁹
= $210 × (1.2375)³⁶ = $210 × 2145.98
A = $450,657 (rounded to the nearest cent)
For Myesha's account:
Principal amount (P) = $210, Interest rate (r) = 9% = 0.09, time is same
The amount in Myesha's account after 9 years would be:
\(A = P(1 + \frac{r}{n} )^{nt}\)
A = $210 × (1 + 0.09/4)⁴*⁹ = $468 (rounded to the nearest cent)
The difference in the amounts is = $468 - $450,657 = -$450,189
This means that Magan has more money in her account than Myesha by $450,189 (rounded to the nearest dollar).
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Magan invested $210 in an account that offers a 95% interest rate. Let me provide a brief explanation of the situation.
When Magan invests $210 in the account, the bank or financial institution agrees to pay an interest rate of 95% annually on the invested amount. Interest is essentially the cost of borrowing money, and in this case, it's the reward Magan receives for lending their funds to the bank.
To calculate the amount of interest earned after one year, you would multiply the principal amount ($210) by the interest rate (95%).
In this case, it would be\( $210 * 0.95 = $199.50\).
This means that after one year, Magan would have earned $199.50 in interest on their initial investment.
Adding the interest earned to the original investment, Magan's account balance after one year would be
\( $210 + $199.50 = $409.50.\)
It's important to note that this calculation assumes that the interest is only compounded annually. If the interest were compounded more frequently, the final balance would be different.
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can someone help me with this?
A boat rental company charges $1,200 per week to rent a boat, plus an additional $215
each time the customer refills the boat's gas tank. Which equation represents the total cost
c of renting a boat for 1 week and refilling the gas tank g times?
C = (1.200 215g) x 7
C = 1.200 2159
C =1.200 x 7 - 2159
C =11.200- 21519
c=1,200+215g
Step-by-step explanation:
so 1,200 each week so 1,200 per seven days. g is how many times they fill up the gas tank and the cost is 250 each time. So you have to multiply 215 by g and then add 1,200.
Identify the correct equation of the graph
Answer:
The correct function is
\(f(b) = {b}^{2} - 4\)
Which of the following shows the proper Order of a food chain?
Answer:
c) producers herbivores carnivores decomposers
Step-by-step explanation:
Producers are at the bottom of the food chain, plants are natural producers and provide food and nutrients to consumers. Herbivores nourish on plants and insects. Predators prey on herbivores or other predators. Decomposers is When an animal dies, scavengers and decomposers break them down.
Answer:
The answer is option 3 .
Step-by-step explanation:
Producers – produce its own food Herbivores – eat only plants, feed on producersCarnivores – eat both plants and animals, feed on herbivores Decomposer – decompose the dead organisme.g
Grass -> Zebra -> Hyena -> Mushroom / Fungi
Julian wants to share 36 cookies equally among 4 friends who are sitting next to him. Then, 2 more friends join them.How many fewer cookies will each friend now get if Julian shares them equally with all the friends?cookies
In the first scenario, Julian wants to share 36 cookies equally among 4 friends:
\(\frac{36}{4}=9\)In this case, each friend has 9 cookies.
However, with 2 more friends, Julian needs to share the cookies equally among 6 friends:
\(\frac{36}{6}=6\)Now, his friends only have 6 cookies. As a result:
\(9-6=3\)Their friends will have three fewer cookies.
CAN SOMEONE PLEASE HELP me with the correct answer!!!!! I need this done please help like please
Las ecuaciones de la demanda y la oferta de cierto producto están dadas por espacio 4 q al cuadrado más p al cuadrado igual 1405 y p igual q más 10 donde p está en dólares por unidad y q está en unidades. Para un precio de 27 dólares por unidad, determine el gasto real del consumidor.
The actual consumer spending at a price of $27 per unit is $268.26.
How to calculate the priceSubstitute the given price into the supply equation to get the corresponding quantity supplied:
p = q + 10
27 = q + 10
q = 17
Substitute q = 17 into the demand equation to get the corresponding price:
4q² + p² = 1405
4(17)² + p² = 1405
p² = 1405 - 1156
p² = 249
p = 15.78
The actual consumer spending can be calculated by multiplying the quantity demanded by the price:
Actual consumer spending = quantity demanded x price per unit
= 17 x 15.78
= $268.26
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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.