Answer:
R = 16 inStep-by-step explanation:
The formula of a Surface Area of a sphere:
[tex]S.A.=4\pi R^2[/tex]
R - radius
We have
[tex]S.A.=1024\pi\ in^2[/tex]
Substitute:
[tex]4\pi R^2=1024\pi[/tex] divide both sides by π
[tex]4R^2=1024[/tex] divide both sides by 4
[tex]R^2=256\to R=\sqrt{256}\\\\R=16\ in[/tex]
To find the radius of a sphere when you are given the surface area, you can use the formula for the surface area of a sphere, which is:
\[ \text{Surface area of a sphere} = 4 \pi r^2 \]
where \( r \) is the radius of the sphere. Now, let's solve for \( r \) using the surface area provided:
We are given that the surface area is \( 1024 \pi \) square inches, so we set that equal to the formula for the surface area:
\[ 1024 \pi = 4 \pi r^2 \]
To solve for \( r^2 \), we first divide both sides of the equation by \( 4 \pi \):
\[ \frac{1024 \pi}{4 \pi} = \frac{4 \pi r^2}{4 \pi} \]
On simplifying the left-hand side and cancelling \( 4 \pi \) from the right-hand side, we get:
\[ 256 = r^2 \]
Now, to solve for \( r \), we take the square root of both sides:
\[ r = \sqrt{256} \]
This results in:
\[ r = 16 \]
So, the radius of the sphere is 16 inches.
find the range
3, -9, 7, -1, 5, -4, 2
Answer:
16
Step-by-step explanation:
to find the range, you have to subtract the smallest number from the biggest number.
In this case 7-(-9)
7-(-9)=16
range=16
Answer:
16
Step-by-step explanation:
The range is the difference between the greatest number and the least number.
The greatest number here is 7.
The least number here is -9
Now, Subtract the least number from the greatest number:
7 - (-9) = 16
Hence the range is 16.
Pamela wants to learn more about the career preferences of students in her school. She interviews a number of students from the advanced science classes. Why is this sample likely to be biased?
A. Advanced science students may not have clear career preferences.
B. The numbers of boys and girls in the advanced science classes are not equal.
C. Advanced science students are not representative of all the students in the
school.
D. It is too early for students to have career preferences while still in school.
Answer:
C.
Step-by-step explanation:
Answer:
I hope this helps
Step-by-step explanation:
Imagine that you are an elementary-school math teacher. You need to develop a lesson plan for teaching measurement and will be using items such as rulers and three-dimensional geometric shapes. Describe the strategies you will use to adjust instruction to include a student who has a visual disability
I don’t see what you trying to explain
When teaching measurement to a student with a visual disability, use tactile materials, auditory cues, non-visual measurement tools, real-world examples, and encourage peer collaboration.
Explanation:When teaching measurement to a student with a visual disability, it is important to use alternative methods of instruction that focus on touch and auditory experiences. Here are some strategies you can use:
Provide tactile materials: Allow the student to explore three-dimensional geometric shapes with their hands. You can use manipulatives or 3D models to enhance their understanding.Use auditory cues: Describe the measurements using clear and precise language. For example, instead of saying 'This object is 5 centimeters long', say 'This object is as long as five paperclips.' This helps the student form a mental image.Include non-visual measurement tools: Utilize tools like braille rulers, talking calculators, or measuring tapes with tactile markings. This allows the student to independently measure objects.Provide real-world examples: Relate measurements to everyday situations. For example, you can discuss the length of a classroom desk or the volume of a water bottle. This helps the student connect measurement concepts to their own experiences.Encourage peer collaboration: Pair the student with a sighted buddy who can assist them during hands-on activities. This promotes inclusive learning and allows the student to engage with their peers.Learn more about How to adjust instruction for a student with a visual disability in math measurement lessons here:https://brainly.com/question/39515127
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In Galveston, Texas there is a beautiful attraction called the Rainforest Pyramid which contains man plants and a variety of rainforest animals. The builders needed to calculate the volume of the squar pyramid to plan the climate control system. The length of the base is approximately 69.6 yards and the height is 33 yards. Which of the following is the closest estimate of the volume?
Answer:
53,286 yards
Step-by-step explanation:
69.6x69.6x33/3
The volume of the square pyramid is [tex]53,286[/tex] yards.
What is volume of the square pyramid?
The volume of a square pyramid is one-third of the product of the area of the base and the height of the pyramid.
[tex]V=\frac{1}{3} b^{2} h[/tex]
From the given,
The length of the base [tex]b[/tex] is [tex]$69.6\,\text{yards}$[/tex].
Height [tex]h[/tex] is, [tex]$33\,\text{yards}$[/tex].
We have to find [tex]V[/tex].
So,
[tex]$V=\frac{1}{3}{{\left( 69.6 \right)}^{2}}\cdot 33$[/tex]
[tex]$\therefore V=53286$[/tex]
Hence, the volume of the square pyramid is [tex]53,286[/tex] yards.
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Can 5, 6 and 30 squared form a right triangle?
Answer:
no
Step-by-step explanation:
A triangle is equal to 180.
5²+6²=30²
25+36=900
61=900
No solution
Answer:
No; it cannot form a right triangle
Step-by-step explanation:
Use the Pythagorean theorem.
5 squared + 6 squared ≠ 30 squared
25 + 36 ≠ 90000
61 ≠ 90000
Also, note that that the sum of the two shorter lengths have to be greater than the longer length to form any kind of triangle.
Attempt TOT
Find the mean of the following data set.
42, 45, 58, 63
Answer:
52
Step-by-step explanation:
The mean is calculated by finding the sum of all the values and dividing it by the number of values there are in total :)
42 + 45 + 58 + 63 = 208
208 ÷ 4 = 52
PLEASE PLEASE HELP!! 30 POINTS!!
What is an approximate average rate of change of the graph from x=8 to x=13, and what does this rate represent?
There is no rate of change.
x=8 and x=13 are horizontal lines going to infinity and negative infinity, its valid for all reals on those 2 lines.
I'm guessing you left out some information on what kind of interpretation you want of these straight lines.
The areas of the square and the rectangle are equal.
What is the value of x?
Answer:
x=12
Step-by-step explanation:
Area of the square
A = x^2
Area of the rectangle
A = (2x-8) (x-3)
Foil
A = 2x^2 -6x -8x +24
= 2x^2 -14x+24
The areas are equal
x^2 = 2x^2 -14x+24
Subtract x^2 from each side
x^2 - x^2 = 2x^2-x^2 -14x+24
0 = x^2 -14x -24
Factor
0 = (x-12) (x-2)
Using the xero product property
x-12= 0 x-2 =0
x=12 x=2
But looking at the rectangle
x-3 is a side length
2-3 is negative so x cannot equal 2
x=12
What is the area of the gray triangle shown?
Answer:
The area of the triangle is basically half the area of the square, so we only need to find the area of the square and divide it by 2:
S = (15 · 15)/2 = 112.5 (square units)
Answer:
112.5 square units
Step-by-step explanation:
Area = 1/2bh
where b = 15 and h = 15 (you can look at the graph)
So A = 1/2(15)(15) = 225/2 = 112.5 square units
Answer
112.5 square units
An Internet and cable-television supplier surveyed a random sample of their customers. The results are shown in the table.
Which statement about the two-way frequency table is true?
Answer:
Step-by-step explanation:
the survey represents quantative data
The statement which is true about the frequency is About one-fourth of the cable-television customers are not satisfied.
The correct option is (D).
What is frequency?Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.
The first statement doesn't satisfy.
The second statement is wrong because the greatest customers of cable television are not satisfied.
The third statement is also wrong because the customers surveyed for the cable television is less than half the total customers surveyed
The fourth statement is correct because,
=[tex]\frac{1}{4}[/tex] * 1109
= 277.25 which is very close to 285.
Hence, About one-fourth of the cable-television customers are not satisfied.
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Not sure what to do here
neither tbh lol and yea ok
Find the missing angle measures And explain how please
Check the picture below.
helped needed! 20 points and brainliest of answered right !
Answer:
1. Cluster sampling
2. When finding a fair sample
3. Simple random sampling
Please Help knoe timed and will give thanks and brianlesst
Using the above table, Saturn is about how many times larger than Mars?
You will end up with a big ugly decimal. Round your answer to the nearest whole number.
Answer:
Step-by-step explanation:
To get the answer just use the numbers from the table which you have stated and you are right, you do get a long decimal.
5.69*10^26 / 6.42 * 10^23 = 886.29
which rounds to 886
-2(-3)(-1)(-4)= evaluate
Multiply from left to right (although you don't have to do this I just personally find it easier)
(-2 * -3)(-1)(-4)
(6)(-1)(-4)
^^^A negative times a negative is a positive
(6* -1)(-4)
(-6)(-4)
^^^Positive times a negative is a negative
(-6 * -4)
(24)
-2(-3)(-1)(-4) = 24
Hope this helped!
~Just a girl in love with Shawn Mendes
Which equation when graphed has X-intercepts at (8,0) and (-2, 0) and a y-intercept at (0-48)?
Answer:
[tex]y=3x^{2}-18x-48[/tex]
Step-by-step explanation:
we know that
The equation of a vertical parabola in factored form is equal to
[tex]y=a(x-x1)(x-x2)[/tex]
where
a is a coefficient
x1 an x2 are the roots or x-intercepts
In this problem we have
[tex]x1=8,x2=-2[/tex]
substitute
[tex]y=a(x-8)(x+2)[/tex]
with the y-intercept (0,-48) find the value of a
substitute
[tex]-48=a(0-8)(0+2)[/tex]
[tex]-48=-16a[/tex]
[tex]a=3[/tex]
The equation is equal to
[tex]y=3(x-8)(x+2)\\ \\y=3(x^{2}+2x-8x-16)\\ \\ y=3(x^{2} -6x-16)\\ \\y=3x^{2}-18x-48[/tex]
Answer: fx=3(x-8)(x+2) or answer C
Step-by-step explanation:
bc i said so
A city has a population of 390,000 people. Suppose that each year the population grows by 8.75%. What will the population be after 12 years?
After 12 years, the population will be approximately 993,993 people.
The city's current population is 390,000 and it grows at a rate of 8.75% each year. To find the population after 12 years, we use the formula for exponential growth:
P(t) = P° × (1 + r)t
Where:
P(t) is the future populationP° is the initial populationr is the annual growth rate (expressed as a decimal)t is the number of yearsFirst, convert the growth rate to decimal form:
8.75% = 0.0875
Next, apply the exponential growth formula:
P(12) = 390,000 × [tex](1 + 0.0875)^{12}[/tex]
P(12) = 390,000 × [tex]( 0.08750)^{2}[/tex]
Using a calculator, we get:
P(12) = 390,000 × 2.5487
P(12) = 993,993
Find the value of m23-m21.
Answer:
M2
Step-by-step explanation:
duh
Write and solve the equation and then check your answer.
A number increased by twenty-six is forty-two.
Which statements are correct? Check all that apply.
This is an addition problem.
This is a subtraction problem
The correct equation is s + 26 = 42.
The correct equation is s – 26 = 42.
To solve the equation, add 26 to both sides.
To solve the equation, subtract 26 from both sides.
Answer:
I think the answer would be C
"The correct equation is s+26=42"
Step-by-step explanation:
You would have to take whatever number s represents and add it by 26 to get 42, so the correct equation would be s+26=42 because you have to take whatever number s is and add it by 26 to get the answer.
Answer:
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Step-by-step explanation:
QUICK ON A TIMER!!!
Using distributive property, which of the following expressions is equivalent to 6(3 + 6 y)?
A. 9 + 6Y
B. 18 + 6 y
C. 9 + 12y
D. 18 + 36y
Answer:
D. 18+36y
Step-by-step explanation:
Because you would simply multiply each of the numbers in the parenthesis by the number outside, to get D.
Answer:
D. 18 + 36y
Step-by-step explanation:
Distributive property
The multiplication of a number by a sum is equal to the sum of the multiplications of that number for each of the addends.
6(3 + 6y) = (6)(3) + (6)(6y)= 18 + 36y
The Lin family bought a dozen bagels. They ate 1/4 of the bagels today and 5/12 of the bagels yesterday. What fraction of the bagels did they eat in all? Explain how you found your answer.
Answer:
2/3
Step-by-step explanation:
To be able to find what the total fraction of bagels eaten, the fractions need to have common denominators. To do this, you multiply 1/4 by 3 in both the numerator and the denominator. Now that the two fractions have the same denominator, you can add the fraction's numerator to get the total fraction, 8/12. However, 8/12 can be simplified more, so you divide by 4 and end up with 2/3.
identify the period of the graph
ANSWER
The period is 4π
EXPLANATION
The period refers to the interval on which the graph completes one full cycle.
In other words, it is the interval on which the graph repeats itself.
From the graph, the function repeats itself after every 4π units.
Therefore the period is 4π
Please help will give brainliest
The domain is the set of all real numbers
ANSWER
All real numbers.
EXPLANATION
The given relation is
R={(x,y):y=-x²}
The domain refers to the x-values for which the relation is defined.
This relation is defined by the polynomial
[tex]y = - {x}^{2} [/tex]
Polynomials are defined for all real numbers.
The domain is all real numbers.
The Sun is v kilometers from the upper edge of the Earth's atmosphere and q kilometers from the surface of the Earth.
Which of the following expressions always represents the distance between the Earth’s surface and the upper edge of the Earth's atmosphere?
Answer:
q - v
Step-by-step explanation:
v = distance between Sun and atmosphere
q = distance between Sun and surface of Earth
So the distance between the atmosphere and the surface of the earth is the difference between them. Since q > v:
d = q - v
Tasha is buying a cd that is regularly $12.99 and is on sale for 1/4 off.
9.74$
IS the final answer
Question 2 options: 2(3x + 5 ) = 6x + 10
Answer:
Infinitely many solutions / All real numbers
Step-by-step explanation:
2(3x+5)=6x+10
Then, Distribute
6x+10=6x+10
Therefore, it is infinitely many solutions / all real numbers
For this case we must solve the following equation:
[tex]2 (3x + 5) = 6x + 10[/tex]
We apply distributive property to the left side of the equation:
[tex]6x + 10 = 6x + 10[/tex]
It is observed that we have an identity, that is, the terms on the right side are equal to the terms on the left side of the equation. Then, the equation has infinite solutions
Answer:
Infinite solutions
What is the domain of the square root function graphed below?
ANSWER
[tex]x \geqslant 3[/tex]
EXPLANATION
The domain of a function refers to the set of x-values for which the graph of the function exists.
From the graph provided, the graph of the function exists for x-values greater than or equal to 3.
Therefore the domain of the square root function graphed is
[tex]x \geqslant 3[/tex]
The correct choice is the fourth option.
Write the equation of the graphs below and explain
Answer:
y = 3√(x+3) -2
Step-by-step explanation:
The given points seem to match those of (half) a parabola that opens to the right. The parent function would be ...
x = y^2
or ...
y = √x . . . . . gives the upper half of the parabola only
It seems to have a vertical expansion by a factor of 3 and a translation of the vertex from (0, 0) to (-3, -2). The transformed function is then ...
y = 3√(x +3) -2
_____
We have transformed the parent function using ...
y = a·f(x-h) +k
where a is the vertical expansion factor, h is the horizontal translation, and k is the vertical translation.
What is the exact volume of the cylinder? Enter your answer, in terms of π , in the box. 5cm 15cm
radius is half the breadth of box ie 2.5 cm height of cylinder is length ie 15 cm
so volume of cylinder =pi(r^2)h
ie 93.75pi cm^3
The exact volume of the cylinder is 93.75pi cm^3.
The question is incomplete the complete question is,
What is the exact volume of the cylinder? Where radius is 5cm and height is 15cm. Enter your answer, in terms of π, in the box.
We have given that,
The radius is half the breadth of the box ie 2.5 cm height of the cylinder is length ie 15 cm.
We have to determine the volume of a cylinder
What is the formula of the volume of a cylinder?Volume of the cylinder =pi(r^2)h
Use the given value in the above formula so we get,
[tex]V=\pi (2.5)^2(15)\\[/tex]
V= 93.75pi cm^3
Therefore the exact volume of the cylinder is 93.75pi cm^3.
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graph y = 3^x + 1 as a translation of its parent function
Answer:
Shift the parent function to the left by one unit
Step-by-step explanation:
The given function is [tex]y=3^{x+1}[/tex]
The parent function is [tex]y=3^x[/tex]
The transformation applied to the parent function to obtain the given function is of the form,[tex]f(x+1)[/tex], which is a horizontal shift to the left by one unit.
To graph [tex]y=3^{x+1}[/tex] we shift the graph of [tex]y=3^x[/tex] to the left by one unit.