Answer:
b
Step-by-step explanation:
Seeing that all of the numbers are multiple of 5, the answer should be 15 because the other answers don't have 105, 135 or 180 as a multiple
Sphere A has a diameter of 12 and is dilated by a scale factor of one half to create sphere B. What is the ratio of the volume of sphere A to sphere B?
Answer:
VA/VB = 8
Step-by-step explanation:
You have a sphere A with diameter 12, that is, radius 6, which can be written as follow:
[tex]V_A=\frac{4}{3}\pi r_A^3=\frac{4}{3}\pi (6)^3=288\pi[/tex] (1)
The sphere A is dilated by a scale factor of one half to sphere B. Then, you have:
[tex]V_B=\frac{4}{3}\pi r_B^3=\frac{4}{3}\pi (\frac{6}{2})^3=36\pi[/tex] (2)
From the results of equation (2) and (1) you can calculate the ratio VA/VB:
[tex]\frac{V_A}{V_B}=\frac{288\pi}{36\pi}=8[/tex]
The ratio of the volumes of both sphere A and B is 8
Answer:
8:1
Step-by-step explanation:
hope this helps
your cell phone company started a rewards club . for every three texts sent, you get 15 points. you need 1800 points for a price. How many texts do you need to send to get that prize?
Answer:
360 texts
Step-by-step explanation:
You get 15 points for each 3 texts.
That means you get 5 points per text.
1800/5 = 360
Answer: You need to send 360 texts.
Ewen has 48 whistle tiles and 16 blue tiles the cost of each white tile was £2 and the cost of each blue tile was £4 Work out the ratio of the total cost of the white tiles to the total cost of the blue tiles
Answer:
3:2
Step-by-step explanation:
Ewen has 48 white tiles and 16 blue tiles
The cost of each white tile was £2
The cost of each blue tile was £4
Therefore the total cost of 48 white tiles is
= 48×2
= £96
The total cost of 16 blue tiles is
= 16×4
= £64
The ratio of the total cost of the white tiles and blue tile can be calculated by dividing the cost of both tiles by their greatest common factor
The greatest common factor of £96 and £64 is 32
96/32 = 3
64/32= 2
Ratio= 3:2
Hence the ratio of the total cost of the white tiles to the blue tiles is 3:2
I need help with this problem, the picture is attached below. Select the following numbers that cannot represent the area of a polygon.
Answer:
-200, 0 and -5
Step-by-step explanation:
Area can never be zero or negative.
Algebra help please
Answer:
The answer is -p^3 r^5
Hope this helps :)
Answer:
[tex]=-p^3r^5[/tex]
Step-by-step explanation:
[tex]\left(-p\right)^3r^5\\\\\left(-p\right)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\\\left(-p\right)^3=-p^3\\\\=-p^3\\\\=-p^3r^5[/tex]
Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. Table showing 3 steps to solve an equation using the quadratic formula. What are the solutions to the equation?
Answer:
[tex]\underline{x\in\left\{-6\,,\ 1\right\}}[/tex]
Step-by-step explanation:
[tex]x^2+5x-6=0\\\\a=1\,,\ \ b=5\,,\ \ c=-6\\\\x_1=\dfrac{-5-\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5-\sqrt{25+24}}2=\dfrac{-5-\sqrt{49}}2=\dfrac{-5-7}2=-6\\\\x_2=\dfrac{-5+\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5+7}2=1[/tex]
Answer:
Step-by-step explanation: Answer is B-6,1
What is the function below to find f(4) f(x)=1/3•4^x
Answer:
85.33333
Step-by-step explanation:
You would simply substitute 4 whenever there is an x.
f(4) = (1/3) * 4^4
= (1/3) * 16 * 16
= (1/3) * 256
= 256/3
= 85.3333333333333333333333333333333333333
which is about 85.3333, or 85 and 1/3, or 256/3.
Hope this helps!
best path to convert 100 liters to pints?
Answer:
[tex]\boxed{211.34 pints}[/tex]
Step-by-step explanation:
The best path for converting liters to pints is:
=> Multiply the liters by 2.1134
So,
100 liters = 100*2.1134 pints
=> 211.34 pints
Answer:
100L=211.338 Pints
Step-by-step explanation:
1L=2.11338 Pints
2.11338✖️100=move two decimal places to the right because of 2 zeros.
=211.338.
Hope this helped!
A box has a volume of 5m³. The box will be enlarged by a scale factor of 2. What will the volume of the new box be?
Answer:
40m³
Step-by-step explanation:
[tex]\sqrt[3]{5}[/tex] = 1.709975947
1.709975947 × 2 = 3.419951893
3.419951893³ = 40
Answer:
volume of the box multiply scale factor
=5 × 2
=10m
I just failed a test cansomeone explained to me what inequalitys are
Answer:
An inequality is a relation which makes a non equal comparison between two of more numbers or other mathematic equations. > I'd greater than < is less than = equal to. ≥ is greater than or equal ≤ less than or equal to. = equal to ≠ not equal
Step-by-step explanation:
Inequality- is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
This distance-time graph represents a journey made by Jo.
a)What did Jo do at minute 10?
b) At what speed was Jo moving for the last 30 mins of the journey?
Answer:
Jo started decelerating at the 10th minute
His average speed for the last 30 minutes of the journey is 4/30 km/minute
Step-by-step explanation:
To get what Jo did at 10 minute, we look at the graph.
At the 10th minute, we can see that we have a sharp turn from the top to the zero position at the 20th minute
so we can say that Jo started deceleration at the 10th minute
For the last 30 minutes of the journey, he travelled a distance of 4km
So, mathematically, his average speed will be;
Distance/ time = 4km/30 minutes = 4/30 km/minute
The slope of a straight portion of the given distance time graph gives Jo's
speed in the region where the slope is calculated.
(a) What Jo did in minute 10 is; turn round and start to move back to his starting point.(b) Jo's speed in the last 30 minutes of the journey is 8 km/hr.Reasons:
(a) From the distance time graph which gives the distance from the starting point, we have;
At minute 5, Jo's distance from the starting point is 0.5 km.
At minute 10, Jo's distance from the starting point is 1 km.
At minute 15, Jo's distance from the starting point is 0.5 km.
Therefore;
Jo turned round and started a journey back to his starting point at minute 10
(b) Jo's speed in the last 30 minutes of the journey is given by the ratio of
the rise and run of the graph as follows;
60 minutes = 1 hour
30 minutes = 0.5 hour
[tex]Speed = \dfrac{4 \, km - 0 \, km}{60 \, min - 30 \, min} = \dfrac{4 \, km - 0 \, km}{1 \, hr - 0.5 \, hr} = \dfrac{4 \, km}{0.5 \, hr} = 8 \, km/hr[/tex]
Jo's speed the last 30 minutes of the journey = 8 km/hr.
Learn more here:
https://brainly.com/question/13095673
a bricklayer needs to order 6 300kg of building sand write 6300kg in grams in standard form
Answer:
1,800,000
Step-by-step explanation:
6x300=1800 kilograms
1800x1000=1,800,000
What is g(x)?
O A. g(x) = -lxl
O B. g(x) = -X
O C. g(x) = -2^x
O D. g(x) = -x^2
Explanation:
The V shape implies we are dealing with absolute value. So the answer must be choice A as its the only function that has absolute value. The negative out front flips the parent function f(x) = |x| over the x axis. Normally |x| is always positive (assuming x is not zero), so -|x| is always negative for nonzero x values.
Extra info: an absolute value graph is a piecewise function of two separate linear functions. In this case, the left branch is y = x and the right branch is y = -x.
Doughnuts at one shop cost £1.20 each.
Doughnuts at a second shop cost 25% more.
What is the difference in the cost of doughnuts at the two shops?
4⋅f(6)−6⋅g(5) need help asap
Answer:
6
Step-by-step explanation:
From the blue graph of f(x) we can see that the function value is -6 when x = 6. Similarly, g(5) = -5.
Then: 4*f(6) - 6*g(5) becomes:
4*(-6) - 6*(-5), or
-24 + 30 = 6
The value of ⋅f(6)−6⋅g(5)= 6
What is Composition of function?An operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).
Given:
From the blue graph we can see that
f(x)= -6 when x = 6.
Similarly, g(5) = -5.
thus,
4*f(6) - 6*g(5)
=3 4*(-6) - 6*(-5)
=-24 + 30
= 6
Learn more about this concept here:
https://brainly.com/question/20379727
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Identify the area of sector AMC in terms of pi and rounded to the nearest hundredth.HELP PLS
Answer:
Step-by-step explanation:
The formula for the area of a sector is
[tex]A=\frac{\theta}{360}*\pi r^2[/tex] where θ is the measure of the central angle and r is the radius.
Our central angle is a right angle and the radius is 4, so filling in the formula looks like this:
[tex]A=\frac{90}{360}*\pi (4)^2[/tex] and
[tex]A=\frac{1}{4}*\pi (16)[/tex]
16 divides by 4 evenly, so
A = 4π.in²
If we multiply 4 by the value of π and then round, that number, to the nearest hundredth, is
A = 12.57 in²
Write in figures;Nine million twenty thousand four hundred and six and twenty seven thousandths.
Answer:
9,020,406.27
Step-by-step explanation:
Answer:
9,020,406.27
Step-by-step explanation:
what’s the correct answer ? help !!
Answers:
a) 6h + 2k
c) 2k + 6h
Step-by-step explanation:
2(3h + k)
Distribute 2 to all the terms in the bracket.
2(3h) + 2(k)
6h + 2k or 2k + 6h
Answer:
The answers are a and c
Step-by-step explanation:
Expand the expression
2(3h + k)
6h + 2k
Since addition is commutative it can also be written as
2k + 6h
Hope this helps
first chance you get the best marks
Answer:
First box and last box.Step-by-step explanation:
It is the first box.Distribute 7 to the first number
7 * -3/4 = -21/4
-21/4 = 5 -1/4
Distribute 7 to the second number
7 * -3
= -21
Put the numbers together
5 -1/4x -21 is the answer.It is also the last box.They separated the parenthesis.
So it is still 7 * -3/4
and
7*-3.
Hope this helps,
Kavitha
Philip Drinks 2/3 pint of water for each mile he runs. How many pints of water will he drink if he runs 4 1/2 miles? Please answer this as qucikly as you can.
Hey there! I'm happy to help!
To find our answer, we simply multiply the amount of water per mile by the number of miles to find the total amount Phillip drank!
2/3×4 1/2=3
Therefore. Phillip will drink 3 pints of water if he runs 4 1/2 miles.
Have a wonderful day! :D
What's the correct answer to this? Having some trouble
Answer:
D
Step-by-step explanation:
10 dimes = 1.00
3 nickels =15 cent
Answer:
B. 5 nickles and 9 dimes
Step-by-step explanation:
For this problem, the answer needs to both be equivalent to $1.15 and have a total of 14 nickels and dimes.
B is the only answer choice that has a total of 14 nickels and dimes and is equivalent to $1.15:
9 nickels+5 dimes=total of 14 coins while 5 nickels (25 cents) and 9 dimes (90 cents) is equivalent to $1.15.
Pablo generates the function f (x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence. Which is an equivalent representation?
Answer:
f(x + 1) = Five-halves f(x) (A)
Question:
The complete question as found in brainly( ID:13525864) is stated below.
Pablo generates the function f(x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence.
Which is an equivalent representation?
f(x + 1) = Five-halvesf(x)
f(x) = Five-halvesf(x + 1)
f(x + 1) = Three-halvesf(x)
f(x) = Three-halvesf(x + 1)
Step-by-step explanation:
f(x) = (3/2)(5/2)^(x-1)
Where 3/2 = three-halves and 5/2 = (five-halves)
To determine an equivalent representation, let's assign values to x to see the outcome and compare it with the options.
f(x) = (3/2)(5/2)^(x-1)
For x = 1
f(x) = (3/2)(5/2)^(1-1) = (3/2)(5/2)^(0)
f(x) =(3/2)(1) = 3/2
For x = 2
f(x) = (3/2)(5/2)^(2-1) = (3/2)(5/2)^(1)
f(x) =(3/2)(5/2)
So from the above assigned values
f(x=1) = 3/2
f(x=2) = f(x + 1) = f(1 + 1)
f(x + 1) = (3/2)(5/2)
Since f(x) = 3/2
f(x+1) = (3/2)(5/2) = f(x) × 5/2 = 5/2f(x)
From the options, an equivalent representation: f(x + 1) = Five-halves f(x)
(A)
Answer:
f(x + 1) = [tex]\frac{5}{2}[/tex]f(x)
Step-by-step explanation:
Use the Factor Theorem to determine which of the following are NOT factors of 3x^4 - 5x^3 - 71 x^2 + 157x + 60 a. x - 3 c. x - 2/3 b. x + 1/3 d. x - 4
Answer:
c. x - 2/3
Step-by-step explanation:
The given equation is f(x) = [tex]3x^4 - 5x^3 - 71 x^2 + 157x + 60[/tex]
To test if the given equations are factors of the polynomial, check if the remainder is equal to zero if substituted into the equation.
For x - 3, x = 3
Substituting x = 3 into the given polynomial:
[tex]f(3) = 3(3)^4 - 5(3)^3 - 71 (3)^2 + 157(3) + 60\\f(3) = 0[/tex]
x - 3 is a factor
For x - 4, x = 4
Substituting x = 4 into the given polynomial:
[tex]f(4) = 3(4)^4 - 5(4)^3 - 71 (4)^2 + 157(4) + 60\\f(4) = 0[/tex]
x - 4 is a factor
For x - 2/3, x = 2/3
Substituting x = 2/3 into the given polynomial:
[tex]f(2/3) = 3(2/3)^4 - 5(2/3)^3 - 71 (2/3)^2 + 157(2/3) + 60\\f(2/3) = 132.22[/tex]
x - 2/3 is not a factor
For x + 1/3, x = -1/3
Substituting x = -1/3 into the given polynomial:
[tex]f(-1/3) = 3(-1/3)^4 - 5(-1/3)^3 - 71 (-1/3)^2 + 157(-1/3) + 60\\f(-1/3) = 0[/tex]
x + 1/3 is a factor
If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ b f(x) dx a ≤ M(b − a). Use this property to estimate the value of the integral. π/9 5 tan(3x) dx π/12 (smaller value) (larger value)
Answer: the value of the integral is in the range:
0.006 ≤ int ≤ 0.008
Step-by-step explanation:
First, we have the function
5*tan(3x), and the range in this case is: pi/12 ≤ x ≤ pi/9
Then, the first step is find the maximum and minimum of f(x) in this range.
We know that between 0 and pi/2, tan(x) is a growing function, then
then the limits are
5*tan(3*pi/9) = 5*tan(pi/3) = M= 0.091
5*tan(3*pi/12) = 5*tan(pi/4) =m = 0.069
Then the value of the integral is between:
0.069*(3.14/9 - 3.14/12) ≤ int ≤ 0.091*(3.14/9 - 3.14/12)
0.006 ≤ int ≤ 0.008
please help me Which of the following choices will evaluate the function ƒ(x) = -(-x), when x = -3? 3 -1 -3 None of these choices are correct.
Answer:
-3
Step-by-step explanation:
Given the function f(x) = -(-x)
we want to evaluate f(-3)
What we do simply here is substitute the value of -3 for x in the equation
That would be ;
f(-3) = -(-(-3)) = -(3) = -3
Please help me……………………………………………………………
Hey there! :)
Answer:
x = -6.
Step-by-step explanation:
Given:
[tex]\sqrt[3]{5x-4} = \sqrt[3]{7x + 8}[/tex]
Cube both sides:
5x - 4 = 7x + 8
Subtract 5x from both sides:
-4 = 2x + 8
Subtract 8 from both sides:
-12 = 2x
x = -6.
Plz please help❤️ With only 5 please
Answer:
4. -1/2 and 2
5. N and R
Step-by-step explanation:
Well if you want me too do 5 I’ll do 4 too.
So for #4 it’s actually pretty simple we just have to seperate y that’s it.
So first we have to get y by itself by subtracting 3x to the other side so the equation looks like this now [tex]6y=-3x+12[/tex].
Now we have to take away the 6 and to do that we divide it to all the numbers and variables. Which gets us [tex]y=-1/2x+2[/tex].
So m and b are -1/2 and 2.
So we have to graph y = -1/2x + 2 so look at the image below.
So looking at the image we can see it passes through the points N and R.
Answer:
The line passes through points N and R.
Step-by-step explanation:
I graphed the equation on the graph below.
In arguing against the death penalty, Amnesty International has pointed out supposed inequities, such as the many times a black person has been given the death penalty by an all-white jury. If jurors are selected randomly from an adult population, find the probability that all 12 jurors are white when the population is (a) 90% white and (b) 50% white.
Answer:
(a) 0.2824
(b) 0.0002441
Step-by-step explanation:
Assuming that the population is large enough to behave as a binomial distribution (between whites and non-whites), the probability of 12 out of 12 juros being white is:
[tex]P(w=12) = p(w)^{12}[/tex]
Where p(w) is the proportion of the population that is white:
(a) for p = 0.90
[tex]P(w=12) = 0.90^{12}\\P(w=12) =0.2824[/tex]
The probability is 0.2824.
(b) for p = 0.50
[tex]P(w=12) = 0.50^{12}\\P(w=12) =0.0002441[/tex]
The probability is 0.0002441.
How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?
Answer:
I guess that we want to create 4 digit numbers that are divisible by 5, only using the odd numbers in the image.
We know that a number is divisible by 5 only if the last digit (the units digit) is a zero or a five, in the image we only have a five, so our 4-digit numbers need to end with a five, so we have a digit fixed in five and the other 3 digits can be other numbers.
We have two different approaches to this:
First, if each odd number can be used only once, we already used the five, so we can use the other 4 numbers.
Then, for the first digit, we have 4 options.
for the second digit, we have 3 options (because we already used one)
for the third digit, we have 2 options (because we already used 2)
then the number of combinations is equal to the product of the number of options for each selection:
C = 4*3*2 = 24 combinations.
The second approach is If the numbers in the image can be repeated (for example, 5555 or 3435 are allowed)
we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third, we also have 5 options, then, with the same reasoning as above, we have:
C = 5*5*5 = 25*5 = 125 combinations.
A box contains 10 red , 3 blue, and 7 white balls , two balls are drawn at random from the box on after the other without replacement. What is the probability that both balls are of the same colour
Answer:
P(XX) = 69/190
Step-by-step explanation:
Given:
20 balls, 10R, 3B, 7W.
Two taken without replacement.
Find probability of two identical colours.
P(XX)
Solution:
We use the multiplication rule for the probability of each of the 2 draws
P(RR) = 10/20*9/19 = 90/380
P(BB) = 3/20*2/19 = 6/380
P(WW) = 7/20*6/19 = 42/380
Probability of drawing two identical coloured balls
P(XX) = (90+6+42)/380 = 138/380 = 69/190