The radius of the sphere of surface area 320 cm² is 5.04 cm.
What is a radius?A radius is defined as half of a diameter. The unit of radius is meter.
To calculate the radius of the sphere, we use the formula below.
Formula:
r = √(A/4π)....................... Equation 1Where:
r = Radius of the sphereA = Surface area of the sphereπ = PieFrom the question,
Given:
A = 320 cm²π = 3.14Substitute these values into equation 1
r = √[320/(3.14×4)]r = √(25.48)r = 5.04 cmHence, the radius of the sphere is 5.04 cm.
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72 is 120% of what number?
Answer:60 percent
Step-by-step explanation:
Step 1) 72 = 120% × Y
Step 2) 72 = 120/100× Y
Multiplying both sides by 100 and dividing both sides of the equation by 120 we will arrive at:
Step 3) Y = 72 × 100/120
Step 4) Y = 72 × 100 ÷ 120
Step 5) Y = 60
Write the equation of a line that goes through point (0, -8) and has a slope of 0
Answer:
Step-by-step explanation:
y + 8 = 0(x - 0)
y + 8 = 0
y = -8
A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to flour tortillas is 3:4. What is the ratio of flour tortillas
to total tortillas?
4:10
3:7
3:10
4:7
4:7
Step-by-step explanation:
The ratio of the number of corn tortillas to flour tortillas is 3:4. So this means there are at least 3 corn tortillas and 4 flour tortillas.
We need to add 3 and 4 to see the simplified total of tortillas. 3+4=7.
There is a total of 7 tortillas regardless of their type.
Now we just need to compare this with the number they already gave us for flour tortillas, which is 4.
4:7 or 4 flour:7 in total
The ratio of flour tortillas to total tortillas is 4:7.
Simplify: 9( 1 - r ) + 3r
Answer:
9-6r
Step-by-step explanation:
9(1−r)+3r
Use the distributive property to multiply 9 by 1−r.
9−9r+3r
Combine −9r and 3r to get −6r.
Answer: 9−6r
Answer:
-6r + 9
Step-by-step explanation:
9( 1 - r ) + 3r
9 - 9r + 3r
9 - 6r
So, the answer is -6r + 9
x^5=243
what is the formular to the equation.
Answer:
x = 3
Step-by-step explanation:
x^5 = 243
Take the fifth root of each side which is the same as raising each side to th 1/5 power. Also, 243 = 3^5.
x^5 = 3^5
(x^5)^(1/5) = (3^5)^(1/5)
x = 3
Answer:
3
Step-by-step explanation:
x^5= 243
I guess we're looking for x
so what we do is just find the fifth root of 243
and that's 3
7+(24/6)+(3²/3)+10 need help solveing it out
Answer: 24
Step-by-step explanation:
7+(24/6)+(3²/3)+10
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.
7+24/6+3^1+10 Also when I say 3^1 I mean 3 and the exponent is 1
Divide 24 by 6 to get 4.
7+4+3^1+10
Add 7 and 4 to get 11.
11+3^1+10
Calculate 3 to the power of 1 and get 3.
11+3+10
Add 11 and 3 to get 14.
14+10
Add 14 and 10 to get 24.
Calculate the height (in m) of a cliff if it takes 2.41 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.14 m/s. (Enter a number.)
How long (in s) would it take to reach the ground if it is thrown straight down with the same speed? (Enter a number.)
The height of the cliff is 7.57m and the time to reach the ground when thrown straight down is 0.814s
What is motion under gravity?Motion under gravity refers to the movement of an object whose vertical motion is affected by the presence of gravity. The force that attracts objects downwards is GRAVITY. In fact, gravity works towards the centre of the Earth.
When an object is moving upward,it is moving against gravity and when it is moving down it is moving with gravity.
from equation of motion
H= ut-1/2gt^2( the object is moving upward)
where h is the height of the cliff and u is the initial velocity and g is acceleration due to gravity
(g=10ms^-2).
therefore h= 8.14×2.41-(1/2×10×2.41)
= 19.62-12.05
h= 7.57m
when the object is thrown Down,
V = u + gt
u will be 0 at top before coming down
V = gt
t= 8.14/10
= 0.814s
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A system of equations is created by using the line represented by 2 x + 4 y = 0 and the line represented by the data in the table below.
x
y
–1
8
3
–4
5
–10
6
–13
What is the x-value of the solution to the system?
A specific X-value for the solution ,-4 is not equal to -3/2.
The x-value of the solution to the system of equations, we need to solve the given equation and the line represented by the data in the table. Let's begin by examining the first equation, 2x + 4y = 0.
We can rewrite this equation in terms of y:
4y = -2x
y = (-2/4)x
y = (-1/2)x
Now, let's use the data from the table to create a system of equations:
For the first data point (-1, 8):
y = (-1/2)x
8 = (-1/2)(-1)
8 = 1/2
Since 8 is not equal to 1/2, the first data point does not satisfy the equation.
For the second data point (3, -4):
y = (-1/2)x
-4 = (-1/2)(3)
-4 = -3/2
Again, -4 is not equal to -3/2, so the second data point does not satisfy the equation.
We can continue this process for the remaining data points, but from the information given, it seems that none of the data points satisfy the equation. Therefore, there is no solution to the system of equations.
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The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0008. Suppose the sample variance for 30 parts turns out to be s2 = 0.0009.
Required:
Use α = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
\(H_0: \sigma^{2} \leq 0.0008\\\\H_a: \sigma^{2} > 0.0008\)
The testing states value is:
\(\to x^2=\frac{(n-1)s^2}{\sigma^2}=32.6250\)
therefor the \(\rho - \ value = 0.2931\)
Through out the above equation its values Doesn't rejects the H_0 value, and its sample value doesn't support the claim that although the configuration of its dependent variable has been infringed.
T/F the condition probability of a given b must be smaller than the intersection of the same two events a and b
The condition probability of a given b must be smaller than the intersection of the same two events a and b:
This statement is False.
The condition probability of event "b" given event "a" (P(b|a)) must be less than or equal to the probability of event "b" (P(b)). This is because the occurrence of event "a" restricts the sample space to only those outcomes that belong to event "a", and thus the probability of event "b" given event "a" cannot be greater than the unconditional probability of event "b".
The concept of conditional probability is used to describe the probability of an event given that another event has already occurred.
The formula for conditional probability is
P(b|a) = P(a and b) / P(a),where P(b|a) represents the probability of event "b" given that event "a" has already occurred.
In order for this to be meaningful, it is required that P(b|a) <= P(b). This means that the probability of event "b" given that event "a" has already occurred cannot be greater than the unconditional probability of event "b".
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Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
given that f(x)=4x-3 and g(x)= (2x-1)/3 solve for g(f(2))
To solve g(f(2)), we need to solve for f(2) as:
f(x) = 4x - 3
Replacing x by 2, we get:
f(2) = 4(2) - 3
f(2) = 8 - 3
f(2) = 5
Now g(f(2) is equal to g(5), so:
\(g(x)=\frac{2x-1}{3}\)So, replacing x by 5, we get:
\(\begin{gathered} g(x)=\frac{2(5)-1}{3} \\ g(x)=\frac{10-1}{3} \\ g(x)=\frac{9}{3} \\ g(x)=3 \end{gathered}\)Answer: g(f(2)) = 3
Find the slope of the line if it exists.
Answer:
The slope would be \(-\frac{4}{3}\)
Step-by-step explanation:
simplify √([2m5z6]/[ xy])
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
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Pls help I am falling
Answer:
152.98 square m but u can round off and write 153 square m
Step-by-step explanation:
A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, not replacing it, and then choosing a red marble?
Answer:
if its fractions then 1/4 if its percentage then 25%
Step-by-step explanation:
Who wants brainilest
Answer: I do, do you have a question
Answer:
e
Step-by-step explanation:
What type of association does the graph show?
A. positive nonlinear
B. positive linear
C. negative nonlinear
D. negative linear
Answer:
B. Positive linear
Step-by-step explanation:
First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive
Write 0.000000624 in scientific notation
Answer:
6.24 x \(10^{-7}\)
Step-by-step explanation:
0.000000624 in scientific notation is 6.24 x \(10^{-7}\)
Answer:
Step-by-step explanation:
The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.
Suppose the original quantity is $30 and the new quantity is $39. Estimate the percent change. Is this an example of a percent increase or a percent decrease?
Answer:
Step-by-step explanation:original quantity = $30
New quantity = $39
increase amount = 39-30 = 9
Percent change:
30 x = 9
x = 9/30
x = 0.3
0.3x 100 = 30%
Since the quantity grows, it's a percent increase.
Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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WILL GIVE BRAINLIEST ONLY IF IT IS RIGHT! Isabella grows several varieties of pepper plants. The following dot plots show the numbers of peppers, rounded to the nearest 5, per plant for different varieties. Each dot represents a different plant.
Order the varieties from least to greatest typical number of peppers per plant.
Put the graph with the least typical value on top.
Answer: Banana has the lowest value, and habanero has the greatest value
Step-by-step explanation:
there. :)
after i put the answer first but its fine it is JUST a app
:|
A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. An adult ticket costs twice as much as a student ticket.
a. Write a system of linear equations that represents this situation. Let x represent the cost of an adult ticket and y represent the cost of a student ticket.
System of equations: x=
x+
y=1040
Question 2
b. What is the cost of each ticket?
The cost of an adult ticket is $
.
The cost of a student ticket is $
.
The system of linear equations, that models the problem is represented as x = 2 and 64x + 132y = 1040 while the cost of adult and student tickets is $8 and $4 respectively.
System of Linear EquationThe system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.
Let;
x = cost of adult tickety = cost of student ticketa)
x = 2y ...eq(i)
64x + 132y = 1040 ...eq(ii)
b)
From equation (i)
64(2y) + 132y = 1040
y = 4
Put y = 4 into equation (i)
x = 2(4)
x = 8
The cost of adult ticket is $8 and student ticket is $4
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HELPP PLEASEE 10 PONITS !!
Which inequality is represented by this graph?
Answer:
x is greater than or equal to four because it is a closed circle and shading to the right which is up
Step-by-step explanation:
Answer: The answer you are looking for is D.
Step-by-step explanation: The closed circle meaning more than or equal to, therefore meaning it is x is greater than or equal to 4.
Martha ate 1/2 pint of chocolate ice cream Frankie ate 3/4 pint of strawberry ice cream how much more ice cream did Frankie eat than Martha
Answer:
1/4
Step-by-step explanation:
You need to subtract 1/2 from 3/4. To do this, you need to have the same denominator for both fractions. 1/2 can become 2/4.
3/4 - 2/4 = 1/4
Answer:
Frankie ate 1/4 pint more ice cream than Martha.
Step-by-step explanation:
1/2 is equal to 2/4.
3/4 - 2/4 = 1/4.
If map=1, Prove that
1+
It man
Itntpt 1tpam
+
Answer:
hi I didn't understand the question
can you please help me to understand.
I will try to give my best
make x the subject
m= n+x/p
m = n+ x/p
m (*p) = n (*p) + x/p (*p)
mp = np + x
x= mp - np
x= p ( m - n)
20. Music Two fifths of the instruments in the
marching band are brass, one third are
percussion, and the rest are woodwinds.
a. What fraction of the band is
woodwind
Answer:
4/15
Step-by-step explanation:
2/5 = 6/15
1/3 = 5/15
6/15 + 5/15 = 11/15
15/15 - 11/15 = 4/15
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Given: A (-3, 5) and B (4, -2), what is the length of AB?
After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.
The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)
Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:
d = √( (4 - (-3))² + (-2 - 5)² )
= √(7² + (-7)²)
= √(98 + 49)
= √147
= 12.124
Therefore, the length of AB is approximately 12.124 units.
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Express 0.00212 in scientific notation.
Answer:
2.12x10 to the -3rd power
Step-by-step explanation:
To put this into scientific notation, you first have to get a number that is not 0 in the one's place by moving the decimal:
0.00212
0002.12
It moved three places to the right, so the exponent will be negative:
2.12x10 to the -3 power
That is your answer
Hope this helps!