Answer:
Doubling the radius of a sphere will increase its surface area 4 times
Step-by-step explanation:
The surface area of a sphere with radius r is given by the formula:
[tex]SA = 4\pi r^2[/tex]
Doubling the radius means: r=> 2r
Putting the new radius the new surface area will be:
[tex]SA_1 = 4\pi (2r)^2\\SA_1 = 4\pi (4r^2)\\SA_1 = 4(4\pi r^2)\\SA_1 = 4(SA)[/tex]
The new surface area with double radius is 4 times of the old surface area with r.
Hence,
Doubling the radius of a sphere will increase its surface area 4 times
I need help with Kumon math level I 187 B
Answer:
attached is the answer :)
Step-by-step explanation:
The length of the tangent AB is [tex]\sqrt{2a^{2}+2b^{2} }[/tex] if the radii of the largest circle is a and the radii of the smallest one is b.
What is the tangent?It is a line that touches a single point on the circle.
How to determine the length of that tangent?Firstly we have to draw a perpendicular from O to the radii of the smallest circle. In this way AOLB becomes a rectangle. We let the point where the bisector intersect the radii as L.
OA=a
Lb=a also
O'L=b-a
In triangle OLO' we use pythagoras to calculate the value of OL which wil then equal to AB so,
OL=[tex]\sqrt{(b-a)^{2}+(a+b)^{2} }[/tex]
=[tex]\sqrt{2a^{2}+2b^{2} }[/tex]
It will be the length of AB also.
Learn more about circles at https://brainly.com/question/24375372
#SPJ2
Write an equation in point-slope form and slope-intercept form for the line.
passes through (6, -6), slope = 5
Answer:
y = 5- 36
Step-by-step explanation:
6 is the x
-6 is the y
y=mx+b
so m times x, m is the slope
5 times 6 is 30
-6=30+b
so -36
y=5x-36
SORRY IF IM WRONG I TRIED
Race to get brainliest, need help!
The sum of digits in a two-digit number is 14. If you double the reversed number and add the result to the original number, the sum would be 222. Find the original number
Answer:
Original number is 86
Step-by-step explanation:
Original: 10x + y
Double reversed: 2(10y + x)
Constraints:
x + y = 14 ===> x = 14 - y
2(10y + x) + 10x + y = 222 ===> 21y + 12x = 222
Substitution to find y:
21y + 12x = 222
21y + 12(14 - y) = 222
21y + 168 - 12y = 222
9y + 168 = 222
9y = 54
y = 6
Substitution to find x:
x = 14 - y
x = 14 - 6
x = 8
Original: 10x + y
10(8) + (6)
80 + 6
86
An airplane travels 550 miles from North Carolina to Tennessee in 90 minutes. At this rate, how many minutes will it take the airplane to travel 6,600 miles?
Answer:
It will take 1,080 min or 18 hours
Step-by-step explanation:
Here is why, since 6600 miles is 12 times farther than 550 miles you'd multiply the time it took to go 550 miles by 12 too
You move up 2 units and down 7 units. You end at (1, -2). Where did you start?
(5,-2)
that's all. up and down basically means that the point is moving along the x axis.
Identify the range of the function shown in the graph. 10 B 0 4 2 -10 8 -10 O A. yis all numbers. O B. 4-1,1} C. -1sys 1 O D. y> -1
From the graph, the range of the sine function will be [-1, 1]. Then the correct option is C.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
It is a function that repeats itself in a particular time interval.
The domain means all the possible values of x and the range means all the possible values of y.
From the graph, the curve is a sinusoidal function. The domain of the sine function is all real numbers.
From the graph, the range of the sine function will be [-1, 1]. Then the correct option is C.
The diagram is given below.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ1
point y is between the points X and Z. if XY =3x- 4 , YZ = 2x +3, and XZ =24
Answer:
The numerical value of XY is 11
The numerical value of YZ is 13
Step-by-step explanation:
Given that
XY =3x- 4 , YZ = 2x +3, and XZ =24
As Y is between the points X and Z so the sum of length of XY and YZ will be equal to the length of XZ. Putting this in mathematical form
[tex]XY+YZ = XZ[/tex]
Putting the values
[tex](3x-4) + (2x+3) = 24\\3x-4+2x+3 = 24\\5x-1 = 24\\5x = 24+1 \\\frac{5x}{5} = \frac{25}{5}\\x = 5[/tex]
Now
[tex]XY = 3x-4 = 3(5)-4 = 15-4 = 11[/tex]
[tex]YZ = 2x+3 = 2(5)+3 = 10+3 = 13[/tex]
Hence,
The numerical value of XY is 11
The numerical value of YZ is 13
Which system of linear inequalities has the point (2 ,3 ) in its solution set?
Answer:
Step-by-step explanation:
Given linear inequalities of the point (2,3)
So.
(X-2)(X-3)=0
x^2-2x-3x+6=0
x^2-5x+6=0
It's solutions is x^2-5x+6.
Yen paid $10.50 for 2.5 pounds of pretzels. What price did she pay for each pound of pretzels?
The first step is to
by a power of 10, so the divisor is a whole number.
The next step is to
, by figuring out how many times 25 goes into 105.
The first step is to multiply by a power of 10, so the divisor is a whole number.
The nest step is to divide, by figuring out how many time 25 goes into 105 .
Step-by-step explanation:
i took the exam now
How much would 7 bottles of water cost
Answer:
$5.25
Step-by-step explanation:
You have saved $1500 to buy a TV you notice the store is offering one year same as cash deal you can take the TV home today and pay nothing until one year from now when you’re out of the store $1500 purchase price if your savings account earns 5% a year what is the NPV of this offer
Answer:
The net present value of 1,500 a year from now at 5% interest is $1,428.57.
Step-by-step explanation:
NPV = 1,500 / 1.05 = 1,428.57
I need step by step help how to work this out
Answer:
31.73
Step-by-step explanation:
[tex]3x^{2} +5y[/tex]
x = 2.1
y = 3.7
Substitute;
[tex]3(2.1)^{2} +5(3.7)=3(4.41)+18.5=13.23+18.5=31.73[/tex]
A company sells 14 types of crackers that they label varieties 1 through 14, based on spice level. What is the probability that the purchase results in a selection of a cracker with an odd number, or a number greater than 11?
Answer:
The required probability is [tex]\mathit{\frac{9}{14}}[/tex]
Step-by-step explanation:
Probability: Rule of Addition
The probability that Event A or Event B occurs is equal to the probability that Event A occurs plus the probability that Event B occurs minus the probability that both Events A and B occur. It can be calculated as follows:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
There are 14 types of crackers the company sells, numbered from 1 to 14. The sample space for purchasing one cracker is:
[tex]\Omega=\{1,2,3,4,5,6,7,8,9,10,11,12,13,14\}[/tex]
There are n=14 possible choices.
The favorable cases for a cracker with an odd number are:
A = {1,3,5,7,9,11,13}
There are 7 favorable cases.
The favorable cases for a cracker with a number greater than 11 are:
B = {12,13,14}
There are 3 favorable cases.
The cases which are common to both events are:
A ∩ B= {13}
There is 1 case.
The probability of each event is:
[tex]\displaystyle P(A)=\frac{7}{14}=\frac{1}{2}[/tex]
[tex]\displaystyle P(B)=\frac{3}{14}[/tex]
[tex]\displaystyle P(A\cap B)=\frac{1}{14}[/tex]
Therefore:
[tex]\displaystyle P(A\cup B)=\frac{1}{2}+\frac{3}{14}-\frac{1}{14}[/tex]
Adding the fractions:
[tex]\displaystyle P(A\cup B)=\frac{7+3-1}{14}=\frac{9}{14}[/tex]
The required probability is [tex]\mathbf{\frac{9}{14}}[/tex]
Convert 4B from hexadecimal to decimal.
Answer:
75
Step-by-step explanation:
Please please help me get the anwser I just want the anwser I got a 33.3 on my last attempt and this is my last please :( I will literally give you 87 points I need help ASAP please I set it to 87 points please take Time and anwser correctly or I will report please :( I only have 11/6/2020
Answer: A
Step-by-step explanation:
Answer:
Its b
Step-by-step explanation:
which of the following coordinates planes shows the graph function y - 3 = -2 (x + 2)
Answer:
download math space that will help you more then any one can right now it's in the play store and your welcome
Step-by-step explanation:
if u take a pic of any math problem it will solve it
Find the quotient.
0.63
_____
-0.7
Answer:
- 0.9
Step-by-step explanation:
your welcome.what is quotient?a result obtained by dividing one quantity by another.
Living with parents: 36% of the nations young adults ages 18-31
Evaluate 10,5p + 9,71 when p = 6 and r=7
10.5() +9,7
467.9
10.50 +97([] = []+679
what is four-fifths of two thirds?
Answer:
The word "of" in the question means multiply, so you need to multiply these two fractions.
2/3 x 4/5 = 8/15
Step-by-step explanation:
Hope you have a great day ;-)
Answer:
8/15
Step-by-step explanation:
This is the answer because:
1) Four-fifths of two thirds basically means 4/5 x 2/3 because "of" in math usually means multiplication.
2) 4/5 x 2/3 = 4 x 2/ 5 x 3 = 8/15
Therefore, the answer is 8/15.
Hope this helps!
If f(3) = 2, find f^-1(2)
Help pls
Answer:
[tex]f^{-1}[/tex](2) is 3
Step-by-step explanation:
In the function f(x) = y, its inverse is f(y) = x
So to find the inverse of a function switch x and y
Example:
In f(1) = 2, x = 1 and y = 2
Its inverse is [tex]f^{-1}[/tex](y) = x
Then, [tex]f^{-1}[/tex](2) = 1
Let us use this rule to solve the question
∵ f(3) = 2
∴ x = 3 and y = 2
→ To find its inverse switch x and y
∵ [tex]f^{-1}[/tex](y) = x
∴ [tex]f^{-1}[/tex](2) = 3
The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k:
Answer:
3
Step-by-step explanation:
H is a horizontal shift to the right. The graph went over 2, so h=2. From there the graph went up 3 (vertical shift) so K=3
Just answer number 1
M<7=30 ,m<2 ?
Answer:
Step-by-step explanation:
1). ∠7 ≅ ∠ 2 (alternate exterior)
m∠7 = m∠2 = 30°
2). ∠4 and ∠1 are supplementary angles
m∠1 = 180° - 72° = 108°
What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.
x = -3
x =
x = 3
x = 6
Answer:
x = 3 x = ‐1/4
Step-by-step explanation:
Was right on the quiz
Answer:
x = 3 x = ‐1/4
Step-by-step explanation:
the first one is also right!!
Find the value of x in the triangle shown below.
X=?
Answer:
68
Step-by-step explanation:
Given triangle is an isoceless 56=56
So
X+56+56=180
X=180-112
X=68
So value is X is 68
PBS News Hour reported in 2014 that 39.4% of Americans between the ages of 25 and 64 have at least a two-year college degree.† Assume that 55 Americans between the ages of 25 and 64 are selected randomly.
(a) What is the expected number of people with at least a two-year college-degree?
(b)What are the variance and standard deviation for the number of people with at least a two-year college degree? (Round your answers to four decimal places.)
Answer:
Mean = 22
Variance = 13.1320
Standard Deviation = 3.6238
Step-by-step explanation:
From the question, we can deduce that
n = 55 (sample)
p = 39.4% (proportion of those within the given range)
Solving (a): Expected Value, E(x)
This is calculated using the following formula.
E(x) = np
Substitute values for n and p
E(x) = 55 * 39.4%
E(x) = 55 * 0.394
E(x) = 21.67
E(x) = 22 ---- Approximated
Hence, the expected number of people is 22
Solving (b): Variance (σ²) and Standard Deviation (σ)
σ² is calculated as thus:
σ² = np(1 - p)
σ² = 55 * 39.4% * (1 - 39.4%)
σ² = 55 * 0.394 * (1 - 0.394)
σ² = 55 * 0.394 * 0.606
σ² = 13.13202
σ² = 13.1320 ---- Approximated
σ is calculated as follows:
σ = √σ²
Substitute value for σ²
σ = √13.13
σ = 3.6238 ----- Approximated
A single card is drawn from a standard 52 card deck.
Work out the probability of choosing the "6 of hearts".
Give your answer in its simplest form.
Answer:
No. of 6 of hearts = 1
Total no. of cards = 52
Probability = 1/52
Hope it helps....... pls mark as brainliest
This is the likelihood or chance that an event will occur. The probability of choosing the "6 of hearts" is 1/52
What is probabiility?This is the likelihood or chance that an event will occur. Mathematically;
Probability =expected/total
Since a standard deck of card contains 52 cards, hence total outcome is 52 cards
No. of 6 of hearts is 1 from the deck of cards
Pr(choosing 6 of hearts) = 1/52
Hence the probability of choosing the "6 of hearts" is 1/52
Learn more on probability here: https://brainly.com/question/7965468
#SPJ2
Please help I’ll mark brainliest, also tell me why you got that answer please
Answer:
D
Step-by-step explanation:
I did the math on paper and I got d
Wear a mask when spraying insecticides. right or not
Answer:
right. because if the insecticides gets in your mouth, it will infiltrate your lungs and you will suffocate.
Step-by-step explanation:
what model represents 0.6 -0.43 of a shaded part
Answer:
0.6 - 0.43 = 0.17
