Answer: The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a sphere (V) = 4/3 π radius³
Replacing with the values given and solving for V (volume)
V = 4/3 (3.14) 5³ = 4/3 (3.14) 125= 523.33 cubic centimeters
The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.
Feel free to ask for more if needed or if you did not understand something.
a parabola in the coordinate plane passes through the points (-4,7) (3,0) (8,10). When the quadratic function associated with this parabola is expressed as f(x)=ax^2 + bx +c what is the value of c
0
3
3 9/13
8
Answer:
c = 0
Step-by-step explanation:
A 3-variable linear system of equations is constructed after replacing known values for x and y:
[tex]16\cdot a - 4 \cdot b + c = 7[/tex]
[tex]9\cdot a + 3\cdot b + c = 0[/tex]
[tex]64\cdot a + 8\cdot b + c = 10[/tex]
After making algebraic manipulation, the following solution is found:
[tex]a = \frac{1}{4}[/tex] and [tex]b = -\frac{3}{4}[/tex] and [tex]c = 0[/tex]
The value of c is 0.
A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the
average desired retirement age, with a standard deviation of 3.4 years. A 96% confidence interval for desired retirement age of all college students is:
54.30 to 55.70
54.55 to 55.45
54.58 to 55.42
54 60 to 55.40
Answer:
96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].
Step-by-step explanation:
We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the average desired retirement age, with a standard deviation of 3.4 years.
Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample average desired retirement age = 55 years
[tex]\sigma[/tex] = sample standard deviation = 3.4 years
n = sample of seniors = 101
[tex]\mu[/tex] = true mean retirement age of all college students
Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.
So, 96% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.114 < [tex]t_1_0_0[/tex] < 2.114) = 0.96 {As the critical value of t at 100 degree
of freedom are -2.114 & 2.114 with P = 2%}
P(-2.114 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.114) = 0.96
P( [tex]-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.96
P( [tex]\bar X-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.96
96% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.114 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.114 \times {\frac{s}{\sqrt{n} } }[/tex] ]
= [ [tex]55-2.114 \times {\frac{3.4}{\sqrt{101} } }[/tex] , [tex]55+2.114 \times {\frac{3.4}{\sqrt{101} } }[/tex] ]
= [54.30 , 55.70]
Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].
Which statement belongs in Step 4?
Answer:
Step-by-step explanation:
TQ = QR
Ray t bisects TR. TR is divided into two equal parts
easy question!!
how can i do this! need step by step explanation.
help!! will give the brainliest
Answer: 1+log3(10)
Step-by-step explanation:
Answer:
[tex]6[/tex]
Step-by-step explanation:
[tex]\log _3\left(27\right)+\log _2\left(8\right)\\\log _3\left(27\right)=3\\\log _3\left(27\right)\\\mathrm{Rewrite\:}27\mathrm{\:in\:power-base\:form:}\quad 27=3^3\\=\log _3\left(3^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _3\left(3^3\right)=3\log _3\left(3\right)\\=3\log _3\left(3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _3\left(3\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3\\=3[/tex]
[tex]\log _2\left(8\right)=3\\\log _2\left(8\right)\\\mathrm{Rewrite\:}8\mathrm{\:in\:power-base\:form:}\quad 8=2^3\\=\log _2\left(2^3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _2\left(2^3\right)=3\log _2\left(2\right)\\=3\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _2\left(2\right)=1\\=3\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=\\=3\\=3+3\\Simplify\\=6[/tex]
Evaluate
12^-8 over 12^-9=
Answer:
12
Step-by-step explanation:
We know that a^b / a^c = a^ (b-c)
12 ^ -8 / 12 ^ -9
12 ^ (-8 - -9)
12 ^ (-8+9)
12 ^ 1
12
Answer:
The Answer is 12. (Someone deleted my answer because I didn't show any work.)
Step-by-step explanation:
1. 12^-8/12^-9 --> 12^-8-(-9)
2. 12^-8+9
3. 12^1= 12
4. Therefore the answer is 12.
What is the method given in this article for adding several polynomials?
Answer:
No options given. But there are two methods of adding polynomials; The horizontal method, and the vertical method.
Step-by-step explanation:
The options are not stated here. However, there are two methods of adding polynomials; The horizontal method, and the vertical method.
Example: Suppose we want to add the polynomials (3x³ + 5x² + 56) + (16x² + 3x) + (4x³ + 4)
Horizontal method
(3x³ + 5x² + 56) + (16x² + 3x) + (4x³ + 4)
First collect the like terms
3x³ + 4x³ + 5x² + 16x² + 3x + 56 + 4
= 7x³ + 21x² + 3x + 60
Vertical method
3x³ + 5x² +...........56
+ ......16x² + 3x
4x³ +...................... 4
...................................................
7x³ + 21x² + 3x + 60
These two methods both yield the same results.
Question 4
What do you observe about the distances between the three pairs of corresponding vertices for each movement? Based on your observations,
how would you define a translation? How can you extend what you know about the vertices of a shape to all the points on a shape during a
translation?
Answer:
The distances between the three pairs of corresponding vertices for each movement must be equal. That is, if you translate points A to A', B to B', et cetera, the distance between A and A', and B and B' are the same.
A translation is a rigid transformation that moves vertices of a figure a fixed distance.
In a general way, a translation moves all points on a shape a fixed distance.
Answer:
Each distance between the three pairs of corresponding vertices is the same. Based on this observation, a translation is a transformation in a coordinate plane that moves the vertices of a shape a fixed distance. In fact, a translation moves all points on a shape a fixed distance.
Sample answer for Edmentum and Plato Users
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Which integer is the following number closest to?*
(33
02
3
O
Answer:
لافصرقغه3ق3
Step-by-step explanation:
4ل5خ2ىاق
Solve the following system of equations.
2x + 5y = 19
x - 2y = - 4
Answer:
Step-by-step explanation:
｡☆✼★ ━━━━━━━━━━━━━━ ☾
2x + 5y = 19
x - 2y = -4
Multiply the second equation by 2
2x - 4y = -8
Now we have:
2x + 5y = 19
2x - 4y = -8
Subtract the second eq from the first to get:
9y = 27
/ 9
y = 3
Now substitute this value into one of the first equations
x - 2(3) = -4
x - 6 = -4
x = 2
Thus, your answer would be option B
Have A Nice Day ❤
Stay Brainly! ヅ
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an item is regularly priced at $27. kaitlin bought it on sale for 35% off the regular price. how much did kaitlin pay
Answer:
Kaitlin paid $17.55
Step-by-step explanation:
1.00 - 0.35 = 0.65
$27 (0.65) = $17.55
Solve x/2 + y/3 = 1 for x .
A. y = -5x + 3
B. y = 5x + 3
C. y = -5x - 3
D. y = 5x - 3
Answer:
x= −2/3y+2
Step-by-step explanation:
Which graph represents data points that have no correlation?
Answer:
Scatterplots
Step-by-step explanation:
If there is no apparent relationship between the two variables, then there is no correlation. Scatterplots can be interpreted by looking at the direction of the line of best fit and how far the data points lie away from the line of best fit
Bernice found that the slope of a trend line is –3 and a point on the trend line is (8, 10). She wanted to find the equation of the trend line. Her work is shown below. 1. y = negative 3 x + b. 2. 8 = negative 3 (10) + b. 3. 8 = negative 30 + b. 4. 8 + 30 = negative 30 + 30 + b. 5. 38 = b. Examine Bernice’s steps.In which step did she make an error? In step 1,she used the wrong equation. In step 2,she switched the x and y coordinate values. In step 3,she needed to add -3 and 10 In step 4,she needed to -30 on both sides
Answer:b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I took the assignment
What are the zeros of A(x) = x(x-7)?
O A. x = 0 only
O B. X = 7 only
O c. x = 0 and x = -7
O D. x = 0 and x = 7
Answer:
x=0 x=7
Step-by-step explanation:
A(x) = x(x-7)
Set equal to zero
x(x-7) =0
Using the zero product property
x=0 x-7 =0
x=0 x=7
What is the value of x? 12x+34=9
A.1612
B.1634
C.1612
D.412
Answer:
The answer is none of the above. x= -2.08
Step-by-step explanation:
Answer: you cant have a answer because it needs to be (-) or (/) not (+)
Step-by-step explanation:
I need to find the equation of the line
Answer:
y= -3x + 7
That is the answer.
Calculate the perimeter of the following figure.
Answer:
29 inches
Step-by-step explanation:
4 + 7 + 4 + 11 = 29 inches
What is the approximate distance from one corner of the soccer field to the opposite corner?
Answer:
116.62 yards
Step-by-step explanation:
information that we have about the soccer field:
length: [tex]l=100yards[/tex]
width: [tex]w=60yards[/tex]
the line that crosses from one corner to another is the hypotenuse of a right triangle that is formed with the sides [tex]l[/tex] and [tex]w[/tex].
So if we call this distance [tex]h[/tex], by the Pythagorean theorem we will obtain that:
[tex]h^2=l^2+w^2[/tex]
solving for [tex]h[/tex]:
[tex]h=\sqrt{l^2+w^2}[/tex]
substituting the known values:
[tex]h=\sqrt{100^2+60^2} \\h=\sqrt{10,000+3,600}\\ h=\sqrt{13,600}\\ h=116.62yards[/tex]
the approximate distance from one corner to the opposite corner found by the Pythagorean theorem is: 116.62 yards
Answer:
117
Step-by-step explanation:
ZE and ZF are vertical angles with mZE=81 +8 and mZF=2.0 + 38.
What is the value of x?
Enter your answer in the box.
X=
Write the expression in exponential form.
log 3^9= 2
Answer: 3^2
Step-by-step explanation:
remember logb a=n <---> a=b^n
so therefor the answer is log3 9=2 ---> 9 = 3^2
whats the surface area?
Answer:
95cm
Step-by-step explanation:
3.5 x 4 = 14
14/2 = 7
5 x 4= 20
5 x 4= 20
Add up all the answers to find the surface area
you get 95cm
What is the range of possible sizes for side x?
(3x+4)–(2x+9)=15
Help meeeeeeeeeeeee.
Answer:
x=30
Step-by-step explanation:
you distribute the negative to 2x and 19
3x+4-2x-19=15
then you combine like terms
x-15=15
you add 15 to both sides
x=30
Answer:
x = 20
Step-by-step explanation:
We are given the equation ( 3x + 4 ) – ( 2x + 9 ) = 15;
( 3x + 4 ) - ( 2x + 9 ) = 15 ⇒ Take ( ) out, through distribution of - 1,
3x + 4 - 2x - 9 = 15 ⇒ Subtract 4 from either side,
3x - 2x - 9 = 11 ⇒ Combine like terms,
x - 9 = 11 ⇒ Add 9 on either side,
Solution; x = 20
need help plzz helpp will give brainliest!!!
Answer:
12%
Step-by-step explanation:
1,020/8,500= ?/100
correct me if i am wrong
Answer:
Hello There the Correct answer is D. 12%
All you really need to do is Divide 1,020 8,500 and you will get 12. So the answer is D.
Ms. Peterson wrote the expression below on the chalkboard for her class. She asked the students to write an equivalent expression using no more than one set of parentheses.
4(3x+5y+2z)+3(x−z)
• Tom wrote 12x+20y+8z
• Jenna wrote 5(3x+4y+z)
• Chris wrote 15x+20y−5z
Which, if any, of the three students wrote an expression that is equivalent to Ms. Peterson’s expression?
Answer _______ wrote an equivalent expression.
Show your work to prove which expressions, if any, are equivalent.
Use the substitution method to solve the system of equations. Choose the correct ordered pair. 2x-y=8 y=x-3
Answer:(5,2)
Step-by-step explanation:
what is the radius of a circle thats 16 units?
Answer:
2.54648ft.
Step-by-step explanation:
r=8/[tex]\pi[/tex](ft.) therefore, the radius of the circle when its circumference is 16 feet is r≈2.54648ft.
Answer:
r =8
Step-by-step explanation:
Therefore, C = π d .
We know that the circumference, C , is 16 π , so we can say that:
16 π = π d
We can divide both sides by π to see that 16 = d .
We now know that the diameter of the circle is 16 .
We also know that the diameter has twice the length of the radius.
In equation form: 2 r = d
2 r = 16
r = 8
An expression that is equivalent to 12-16x
Answer: an expression equivalent would be 4(3-4x)
Answer:
4(3-4x)
I hope I helped you! Please mark me brainiest if I am correct. Thanks!
PLEASE HELP ASAP 5TH GRADE
Answer:
C
Step-by-step explanation:
10*(1/7)=10/7. A and B are false.
A product comes from multiplying. D is false.
Please mark as Brainiest! :)
Have a nice day.
Every day you play a random song from your library, which includes 200 songs. What is the PROBABILITY that both today and tomorrow the first song that plays is one of your top 10 favorite songs?
To find probability, you must divide the number of events by the number of possible outcomes.
An event (or favorable outcome) is an outcome that is desired.
An outcome is one of many things that could happen.
Since the events occur two times, they must be doubled.
In this case, there are 400 possible outcomes and 20 number of events.
400 ÷ 20 = 0.05The probability of you playing one of your top 10 favorite songs for 2 days is 0.05.