300(1.08)^5
440.798423
two similar cups are 3 cm and 5 cm deep if the larger cup
s hold 675 cm cube of water what is the volume of the smaller one
Answer:
145.8
Step-by-step explanation:
l.s.f for the two is 3:5
volume scale factor will be 3³:5³ which us 27:125
so 27×675 / 125
= 145.8
If 1 and -1 are the zeroes of the polynomial p(x) = ax 3 + x 2 − 2x + b, find the values of a and b
Answer:
a = 2, b = -1Step-by-step explanation:
p(x) = ax³ + x² - 2x + b
p(1) = a(1)³ + 1² - 2•1 + b = a + 1 - 2 + b = a + b - 1
a + b - 1 = 0 ⇒ b = 1 - a
p(-1) = a(-1)³ + (-1)² - 2(-1) + b = -a + 1 + 2 + b = - a + b + 3
- a + b + 3 = 0 ∧ b = 1 - a
- a + (1 - a) + 3 = 0
- a + 1 - a + 3 = 0
-2a + 4 = 0
-2a = -4
a = 2
b = 1 - 2 = -1
a box of 15 cookies costs 9$ what is the price of 1 coockie
Answer:0.60$
Step-by-step explanation:
15=9$
1=0.60$
Answer:
60 cents
Step-by-step explanation:
If two 2x2 matrices are inverses of each other, then multiplying them will result in what matrix below?
inverse of a matrix A is defined as [tex] AA^{-1}=I[/tex]
where I is the identity matrix of the respective order.
factorise [tex]x^{2} - 121[/tex]
Answer:
(x+11)(x-11)
Step-by-step explanation:
Hello!
We are given the expression x²-121, and we want to factor it
The expression is a difference of squares expression.
The formula for the difference of squares is written as a²-b² can be factored as (a-b)(a+b)
121 is 11 squared, and x² is x squared
So that means that a=x, and b=11 in this case
Now substitute those values into the formula
a²-b²=x²-121=(x+11)(x-11)
Hope this helps!
Answer:
(x-11)(x+11)
Step-by-step explanation:
x^2 -121
x^2 -11^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(x-11)(x+11)
Indi, Mark, and Tess each pick a slip of paper with a subtraction
expression written on it. The person holding the card with the
greatest value wins a prize. Who wins the prize?
Answer:
Tess wins the prize.
Step-by-step explanation:
[tex]\boxed{\text{Indi}: 2-3}[/tex]
[tex]\boxed{\text{Mark}: -7-(-4)}[/tex]
[tex]\boxed{\text{Tess}: -1-(-7)}[/tex]
The expression of Indi's card is 2 - 3 = -1
The expression of Mark's card is -7 - (-4) = -7+4= -3
The expression of Tess's card is -1 - (-7) = -1+7= 6
Dawn and Jackson have baseball cards in the ratio of 2:3. Together, they have a total of 60 baseball cards. How many baseball cards does each child have?
Answer:
24 and 36
Step-by-step explanation:
2x + 3x = 60
5x = 60
x = 12
Dawn has 2(12) = 24
Jackson has 3(12) = 36
Step-by-step explanation:
To find the number of baseball cards each person received we must first find the total parts
That's
2 + 3 = 5
For Dawn
Dawn's part is 2
We have
2/5 × 60
= 24 baseball cardsFor Jackson
Jackson's part is 3
That's
3/5 × 60
= 36 baseball cardsHope this helps you
A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31
Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)
Answer:
Hello,
Step-by-step explanation:
Part A:
Yes
Since
y=f(x)
f(0)=4
f(1)=7 : f(1)=f(0)+1*3
f(2)=10= 7+3 : f(2)=f(1)+3 =f(0)+2*3
f(3)=13=10+3: f(3)=f(2)+3=f(0)+3*3
...
f(9)=31=28+3=f(8)+3=f(0)+9*3
f(n)=f(0)+n*3=4+n*3
Part B: y=3x+4
Part C: slope=3 , y-intercept=4
The slope indicate the grow of the plant (how many cm does it grow in function of the height it receives)
y-intercept indicate the original height of the plant.
Answer ASAP please!
Which of the following statements is correct?
A :sin 42° = cos 52°
B:sin 90° = cos 90°
C:cos 30°= sin 70%
D:sin 80º = cos 10°
E:cos 60°= cos 30
Answer:
D
Step-by-step explanation:
A. Sin 42=0.669
Cos=52=0.617
B. Sin 90=1
cos 90=0
C. cos30=0.866
sin 70=0.940
D. sin80=0.985
cos 10=0.985
Two times the difference of a number and
nine is thirty-six.
Translate into an equation
Twice means muliply by 2
The difference of a number and 7 means subtract a number/variable and 7
Is equal to 9 means =9
2(X - 7) = 9
What the answer question
Answer:
Surface area = 373.66Step-by-step explanation:[tex]T.S.A = \pi r(r+l)\\l = 10mm\\r = 7mm\\\\T.S.A = 3.14 \times 7(7 + 10)\\= 21.98(17)\\T.S.A = 373.66\\\\T.S.A = 373.66[/tex]
The inverse of the function graphed below is a function.
A. True
B. False
Answer:
B. False
Step-by-step explanation:
We are given a graph of a function. Shown graph represents a function because there is only unique value of y for each unique value of x.
So, it would pass the vertical line test.
All the vertical lines on the graph would cross the graph at only single point (unique) point.
But if we draw the inverse function graph, each of (x,y) coordinate would switch to (y,x) and the graph would flip to right side.
And if we draw any vertical line on the graph, it could cut the graph at two or more points.
Therefore, it would not pass the vertical line test and it would not be a graph of a function.
The inverse of the function graphed below is not a function as it fails to pass the horizontal test. Hence, B. False is the right option.
What is a function?A function is a relation between a dependent and an independent variable, say y and x respectively, written as y = f(x). Any such relationship will be called a function if and only if, there is only one value of y corresponding to every x.
We check for a graphed relation to be a function using the vertical test.
When is the inverse of a function also a function?The inverse of a function, say y = f(x), is given as x = f⁻¹(y), is also a function when f⁻¹(y) passes the vertical test, or simply y = f(x) passes the horizontal test.
What are vertical and horizontal tests?Vertical test: In the test, vertical lines are taken parallel to the y-axis, and the number of the intersection of the given graph of the relation to this line is tested. If the intersections on every vertical line ≤ 1, then the given relation passes the test, and it is a function.Horizontal test: In the test, horizontal lines are taken parallel to the x-axis, and the number of the intersection of the given graph of the relation to this line is tested. If the intersections on every horizontal line ≤ 1, then the given relation passes the test, and its inverse is a function.How to solve the given question?In the question, we are asked to tell whether the inverse of the given function graphed is also a function or not.
To check if the inverse is a function, we perform the horizontal test.
The given graph fails to pass the horizontal test, as for almost every line, the graph intersects two times to the line.
For example, the horizontal line y = 5, the graph intersects at two points.
Thus, the inverse of the function graphed below is not a function as it fails to pass the horizontal test. Hence, B. False is the right option.
Learn more about functions and inverse of functions at
https://brainly.com/question/3831584
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Plzz help me with this question
Answer:
4
Step-by-step explanation:
The degree is equal to the largest exponent on a variable. In this instance, it is 4.
Which of the following represents the set in words?
{x | x ≤ 0}
all negative integers
None of these
all positive integers
all negative real numbers
all positive real numbers
Answer:
It's actually: None of these.
Think about it: In this case we have an inequality, of x ≤ 0.
This basically means, that x can be less than OR equal to 0.
But 0 is neither negative or positive, so we can eliminate the following answer choices:
- all positive integers
- all negative real numbers
- all positive real numbers
- all negative integers
And we are left with "None of these"
Let me know if this helps!
Option B is correct. None of these options is the right answer since zero is neither an integer nor a real number
Before we can decide which option is correct, first we must integers and real numbers are.
Integers are whole numbers. They can either be positive and negative.Real numbers are numbers that are both whole numbers and fractions.zero is neither positive nor negative integerGiven the set of numbers {x | x ≤ 0}. The set of numbers in the set will be all integers less than zero including zero (zero is not an integer)
Hence the set of numbers are not all negative integers since 0 is not a negative integer.
They are not all positive integers rather they are mostly negative integers
They are not all positive and negative real values because zero is not a real integer.
Hence we can conclude that None of the options is correct.
Learn more here: https://brainly.com/question/2691012
The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of days and a standard deviation of days. (a) What is the minimum pregnancy length that can be in the top % of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom % of pregnancy lengths? (a) The minimum pregnancy length is 280 days.
Answer:
(a) 283 days
(b) 248 days
Step-by-step explanation:
The complete question is:
The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 268 days and a standard deviation of 12 days. (a) What is the minimum pregnancy length that can be in the top 11% of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths?
Solution:
The random variable X can be defined as the pregnancy length in days.
Then, from the provided information [tex]X\sim N(\mu=268, \sigma^{2}=12^{2})[/tex].
(a)
The minimum pregnancy length that can be in the top 11% of pregnancy lengths implies that:
P (X > x) = 0.11
⇒ P (Z > z) = 0.11
⇒ z = 1.23
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\1.23=\frac{x-268}{12}\\\\x=268+(12\times 1.23)\\\\x=282.76\\\\x\approx 283[/tex]
Thus, the minimum pregnancy length that can be in the top 11% of pregnancy lengths is 283 days.
(b)
The maximum pregnancy length that can be in the bottom 5% of pregnancy lengths implies that:
P (X < x) = 0.05
⇒ P (Z < z) = 0.05
⇒ z = -1.645
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-1.645=\frac{x-268}{12}\\\\x=268-(12\times 1.645)\\\\x=248.26\\\\x\approx 248[/tex]
Thus, the maximum pregnancy length that can be in the bottom 5% of pregnancy lengths is 248 days.
in the expretion7to the third power-4*3+8 the firstt operation is
Answer:
7³
Step-by-step explanation:
Using PEMDAS, we see that E (which stands for exponents) comes before M (which stands for multiplication) and A (which stands for addition) so the first operation you should do is 7³.
The roots of $x^2+8x+4$ are the same as the roots of $Ax^2+Bx+1$. What is $A+B$?[tex]The roots of $x^2+8x+4$ are the same as the roots of $Ax^2+Bx+1$. What is $A+B$?[/tex]
Answer:
4.5
Step-by-step explanation:
Hello, please consider the following.
First of all, let's assume that A is different from 0.
[tex]x^2+8x+4\\\\\text{It means that the sum of the zeroes is -8 and the product is 4}\\\\Ax^2+Bx+1=A(x^2+\dfrac{B}{A}x+\dfrac{1}{A})\\\\\text{So the sum of the zeroes is } -\dfrac{B}{A} \text{ and the product is }\dfrac{1}{A}\\\\\text{It comes.}\\\\-\dfrac{B}{A}=-8 <=> \dfrac{B}{A}=8\\\\\dfrac{1}{A}=4[/tex]
So,
[tex]A=\dfrac{1}{4}\\\\B=\dfrac{8}{4}=2\\\\A+B=\dfrac{1+8}{2}=\dfrac{9}{2}=4.5[/tex]
Thank you.
URGENT PLEASE ANSWER !!
Answer:
(C) [tex]y = 2x+5[/tex]
Step-by-step explanation:
Looking at this graph, we can see that the slope of it is 2. We know this because for every time x increases by 1, y increases by 2.
We also know that the y-intercept of this graph is 5, since it intercepts the y-axis at the value 5.
We can easily create an equation with this info.
[tex]y = 2x + 5[/tex].
Hope this helped!
Answer:
C. y= 2x+5
Step-by-step explanation:
y=mx+b
(+b) is y- intercept
(mx) is the slope.
plot the y- intercept first which the line starts at (0,5)
since the slope isn't a fraction you turn it into one which would be
[tex] \frac{2}{1} [/tex]
6(n+1) n=9 plz help me
Answer: 60
Step-by-step explanation:
So easy so the n is 9 so 9 plus 1 is 10 6(10) then multiply so 60
solving polynomial(2x+8)(-3y-8)
Answer:
-6xy - 16x -24y -64
Step-by-step explanation:
(2x+8)(-3y-8) =
To find the answer,
First multiply, the first number on both sides,
2x * -3y = -6xy
Then the first number on the left side and the second number on the right side,
2x * -8 = -16x
Then the second number on the left side and the first number on the right side,
8 * -3y = -24y
Then the second number on the left side and the second number on the right side,
8 * -8 = -64
Now add all the answers,
-6xy -16x -24y -64
Answer:
-6xy-16x-24y-64
Step-by-step explanation:
(2x+8)(-3y-8)
Foil
First 2x*-3y = -6xy
outer -8*2x = -16x
inner -3y *8 = -24y
last -8*8 = -64
Add them together
-6xy-16x-24y-64
find each rate and unit rate.
a. 420 miles in 7 hours
b. 360 customers in 30 days
c. 40 meters in 16 seconds
d. 7.96 for 5 pounds
Answer:
c is the answer
Step-by-step explanation:
Answer:
Answers Work
a.60 miles in one hour 420/7
b.12 customers in one day 360/30
c.2.5 meters in I second 40/16
d.$1.59 for 1 pound 7.96/5
Step-by-step explanation:
Jasper’s new copier can produce a copy every 0.57 seconds. Jasper calculates that it will take 6.57 seconds to produce 6 copies.
What error did Jasper make?
He placed the decimal point incorrectly after he multiplied.
He multiplied the time to produce one copy by 6 instead of 12.
He added 6 and 0.57 instead of multiplying.
He found the time to produce 57 copies instead of 6.
It takes 0.57 seconds per copy and he made 6 copies.
6 + 0.57 = 6.57
He added 6 and 0.57 instead of multiplying.
The easiest way to figure this out would be to do the problem by ourselves:
0.57 · 6 = 3.42, so it will take about 3.5 seconds.
We can say that Jasper got a way different answer, so it must be something wrong with the way he multiplied. When we look through the answers and we see that rather than multiplying, Jasper added, so our answer is:
He added 6 and 0.57 instead of multiplying.
reduce 63/72 to its lowest terms
Answer:
7/8
Step-by-step explanation:
63 ÷ 9/72 ÷ 9
= 7/8
Answer:
7/8
Step-by-step explanation:
63/9 = 7
72/9 = 8
then:
63/72 = 7/8
What is the median of this data set? O A) 88 OB) 87 OC) 75 OD) 95
Answer: B) 87
Step-by-step explanation:
First, order the values from least to greatest:
75, 80, 87, 88, 95
Next, find the value that lies in the middle
75, 80, 87, 88, 95
Therefore, 87 is the median.
Answer:
B: 87
Step-by-step explanation:
Sorry for this very late response. But if anyone wasn't sure if the answer 87 is correct, it is. I can confirm this because I just took the test. I hope I could help! (:
Can someone explain probability with permutations and combinations and explain where they are applied?
Answer:
If the order doesn't matter then we have a combination, if the order do matter then we have a permutation. One could say that a permutation is an ordered combination. The number of permutations of n objects taken r at a time is determined by the following formula: P(n,r)=n!
Step-by-step explanation:
To calculate the probability of a combination, you will need to consider the number of favorable outcomes over the number of total outcomes. Combinations are used to calculate events where order does not matter. In this lesson, we will explore the connection between these two essential topics.
Answer:
combination : If the order of numbers or operations does not matter
Permutation : when the order of numbers matter ( common example most teachers use : a code of 4 numbers has to be in a certain order and the numbers are from 0 to 9 , how many permutation can you make if you use the number one time)
P=n!/(n-r)!
n! ( are number from 0-9 we have 10 numbers)
r is the number of digits in the code = 4
n!=10*9*8*7*6*5*4*2*1
(n-r)!=(10-4)!=6!=6*5*4*3*2*1
P=5040 ways ( if the order matter)
If the order does not matter
Combination C(n,r)=n!/(n-r)!r!
C(10,4)=(10*9*8*7*6*5*4*2*1)/[(6*5*4*3*2*1)(4*3*2*1)]
Suppose when the price of gasoline is $3.50 per gallon the total amount of gasoline purchased in the United States is 6 million barrels per day. When the price of gas decreases to $3 per gallon the total amount of gasoline purchased is 8 million barrels per day. Based on these numbers and using the midpoint formula the percentage change in price is:
Answer:
Slope is -.25 =
Minus 25%
Step-by-step explanation:
x1 y1 x2 y2
6 3.5 8 3
(Y2-Y1) (3)-(3.5)= -0.5 ΔY -0.5
(X2-X1) (8)-(6)= 2 ΔX 2
slope= - 1/4
B= 5
Y =-0.25X +5
The percentage change is -25% the price of fuel is decreased by 25%.
What is the equation of a line?The equation of line is given as,
y = mx + c
Where m is the slope and c is the y-intercept.
Let the data is
x₁= 6 , y₁ = 3.5
x₂ = 8 , y₂ = 3
Calculate the change,
(Y₂ -Y₁ ) = (3)-(3.5)
ΔY = -0.5
(X₂-X₁) = (8)-(6)
ΔX = 2
Calculate the slope,
Slope = ΔY/ ΔX
Slope = -0.5 / 2
Slope = - 1/4 = -0.25
The equation formed by using the above data is,
Y =-0.25X +5
Therefore, the percentage change is -25% the price of fuel is decreased by 25%.
More about the equation of line link is given below.
https://brainly.com/question/21511618
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What is the slope of the line that
passes through these two points?
(0, 2)
(3, 8)
Remember, given two points,
(x1, yı)
Slope
rise (y2-yı)
(X2,92) run (x2-x1)
Simplify your answer completely.
Enter
Answer:
2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
m = ( 8-2)/(3-0)
= 6/3
= 2
Answer:
2
Brainliest, please!
Step-by-step explanation:
(0, 2)(3, 8)
y = +6
x = +3
y/x = 6/3 = 2
X+2/x-2 - x+3/x-1 solve
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Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]x+\frac{2}{x} -2-x+\frac{3}{x} -1[/tex]
[tex]= \frac{-3x + 5}{x}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
The water level was - 4
feet before rainy season.
After rainy season the
water level was 4 feet.
By how much did the
water level change?
Any help is appreciated!!!
A rectangular school yard has a perimeter of 114 meters and an area of 702 square meters. What are the dimensions of the school yard?