Answer:
When raised to the power of 4, the binomial (4 + y) expands to:
[tex]y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]
Step-by-step explanation:
[tex](4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]
if x =20 and y =40 then x and y are
Answer:
Are directly proportional
411/3 + 388 = n - 79
Answer:
411/3 + 388 = 525 -79=446
Step-by-step explanation:
A pair of boots has an original price of $95. They are on sale for 35 percent off. What number can you multiply $95 by to equal the discounted price of $61.75? 0.35 0.60 0.65 0.95 I WILL GIVE BRANLIEST
Answer:
it will be 0.65
Step-by-step explanation:
Answer:
The Answer is .35 or 35%
Step-by-step explanation:
A music store marks up the instruments it sells by 30%.
If the price tag on a trumpet says $104, how much did the store pay for it?
A. $ 58.50
B. $ 80
C. No, it did not mark up 30%.
Step-by-step explanation:Since,
A. We have,
Mark up percentage = 30%
Actual price = $ 45,
B. We have,
SP = $ 104,
C. We have,
AP = $ 75,
SP = $100,
Thus, mark up percentage =
= 33.33 %
Hence, store did not mark up the price by 30%.
When rolling two 6-sided dice, what is the probability of rolling a sum of 7 and 11?
Answer:
We have two 6-sided dice.
Each one of them has 6 possible outcomes.
The total number of outcomes for the pair, will be equal to the product between the numbers of outcomes for each one of them
Then the total number of outcomes is:
C = 6*6 = 36.
The number of outcomes where the sum of the dice are 7 are:
1 and 6
6 and 1
2 and 5
5 and 2
3 and 4
4 and 3
So we have 6 outcomes where the sum of both numbers is equal to 7.
The probability of rolling a pair such that the sum is equal to 7, is equal to the quotient between the number of outcomes that meet this condition (6) and the total number of outcomes (36)
The probability is:
P = 6/36 = 1/6
Now let's do the same for 11.
The outcomes where the sum is 11 are:
5 and 6
6 and 5
So we have two outcomes.
In this case, the probability will be:
P = 2/36 = 1/18
Given the third term is 12 and the rate of change is 3. What is the first 5 terms ?
Answer:
6, 9, 12, 15, 18
Step-by-step explanation:
If the third term is 12, then to find the first term subtract 3 twice (or just subtract 6) to get 6. To find the rest of the terms add 3 accordingly. The equation to find this would be:
a_n = 6 + (n-1)3
What’s the area? Please help :)
Answer:
252 sq. in.
Step-by-step explanation:
divide it into sections like this
12*15=180
3*6=18
6*9=54
then add it all together. sometimes it is more complicated, but as long as none of the divided parts overlap this will be correct for any shape, as long as you account for the whole shape.
Write fifty three hundredths in standard form
Answer:
53/100 or 0.53 i think thats right
how to write exponents
Answer:
[tex]2\cdot2\cdot2[/tex] = [tex]2^{3}[/tex]
Step-by-step explanation:
[tex]---------------------------------[/tex]
[tex]Writing[/tex] [tex]exponents[/tex] [tex]is[/tex] [tex]fairly[/tex] [tex]easy.[/tex]
[tex]Here's[/tex] [tex]an[/tex] [tex]example:[/tex]
[tex]5\cdot5\cdot5\cdot5\cdot5[/tex] = [tex]5^{5}[/tex] [tex]because[/tex]
[tex]there[/tex] [tex]are[/tex] [tex]5[/tex] [tex]fives[/tex] [tex]that[/tex] [tex]are[/tex] [tex]being[/tex] [tex]multiplied.[/tex]
[tex]---------------------------------[/tex]
[tex]Always[/tex] [tex]remember,[/tex] [tex]you[/tex] [tex]don't[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]whole[/tex] [tex]number[/tex] [tex]by[/tex] [tex]the[/tex] [tex]exponent.[/tex]
[tex]---------------------------------[/tex]
[tex]Here's[/tex] [tex]an[/tex] [tex]example:[/tex]
[tex]6^{7}[/tex] [tex]does[/tex] [tex]not[/tex] [tex]equal[/tex] [tex]42[/tex] [tex]because[/tex] [tex]you[/tex] [tex]have[/tex] [tex]to[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]6[/tex] [tex]the[/tex] [tex]number[/tex] [tex]of[/tex] [tex]times[/tex] [tex]it[/tex] [tex]says[/tex] [tex]on[/tex] [tex]the[/tex] [tex]exponent.[/tex]
[tex]Which[/tex] [tex]means[/tex] [tex]you[/tex] [tex]multiply[/tex] [tex]the[/tex] [tex]six,[/tex] [tex]seven[/tex] [tex]times.[/tex]
[tex]---------------------------------[/tex]
Hope this helps! <3
[tex]---------------------------------[/tex]
Write the linear equation in slope-intercept form, 3x − y = 7
Answer the following question:
Answer:
perimeter is the total length of all the sides. So 2x+2x+10 =4x+10=2x+5
The table below shows some prices at a produce stand.
Produce Price per Pound
Onions $2.25
Yellow Squash $2.99
Spinach $4.00
Potatoes $2.50
Florence wants to spend no more than $4 on onions. Will she be able to buy 1.9 pounds of onions? Complete the explanation. Enter your answer as a decimal rounded to tenths.
HELPPPPP PLEASE!
15.) whats the approximately measure of one interior angle of the regular polygon shown
16.) the shape in the figure is a square . Use the properties to determine the value of X
Answer:
15) For a regular polygon of N sides, the measure of one interior angle is:
A = (N - 2)*180°/N
In this case, the figure has 11 sides, then we have N = 11, and the measure of each interior angle will be:
A = (11 - 2)*180°/11
A = 9*180°/11 = 147.27°
Rounding to the first decimal after the decimal point, we get:
A = 147.3°
Then the correct option is B.
16) We know that the length of all the sides of a square is the same.
In the image, we can see that the length of the right side is 4, and the length of the top side is 2x + 4
And those lengths must be the same, then we have the equation:
2x + 4 = 4
subtracting 4 in each side of the equation we get:
2x + 4 - 4 = 4 - 4
2x = 0
The only solution for this equation is x = 0.
Then the correct option is C
Robyn likes to read novels that have 400 pages or fewer. Which inequality represents the number of pages, p, in the novels she likes to read? A. p ≤ 400 B. p ≥ 400 C. p > 400 D. p < 400
Answer:
A
Step-by-step explanation:
P represents the page of number and she likes to read FEWER than 400 or equal to it. P < 400 says that she likes to read pages that are fewer or equal to 400 pages.
The inequality that represents the number of pages p is p ≤ 400.
Option A is the correct answer.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Number of pages = 400 or fewer
This means,
Number of pages ≤ 400
Thus,
p ≤ 400
where p is the number of pages.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
Sale! 25% OFF of the original price! Laura wants to buy a sleeping bag. The original price is $56. How much will Laura pay if she buys it during the sale.
Answer:
$14
Step-by-step explanation:
56 × 0.25 = 14
to check this, you can divide 14 ÷ 56 = 0.25
to turn a percentage into a decimal, just divide it by 100
HELP URGENT !!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
3.7+3.-1=
help I have a homework and I don't know the answer
Answer:
the solution is 5.7
3.7+3-16.7-15.7
which expression is not equivelent to 2/3 x 4
Answer:
8/3Step-by-step explanation:
[tex]\frac{2}{3} \times 4\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\times c=\frac{a\times c}{b}\\\\\frac{2}{3}\times \:4=\frac{2\times \:4}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:\\2\times \:4=8\\\\=\frac{8}{3}[/tex]
solve the following question
9514 1404 393
Answer:
π/3
Step-by-step explanation:
The given integral does not exist. We assume there is a typo in the upper limit, and that you want the integral whose upper limit is (√3)/2.
It is convenient to make the substitution ...
x = sin(y) . . . . so, y = arcsin(x)
dx = cos(y)·dy
Then the integral is ...
[tex]\displaystyle\int_0^{\sqrt{3}/2}{\dfrac{\cos{y}}{\sqrt{1-\sin^2{y}}}}\,dy=\int_0^{\sqrt{3}/2}{dy}=\left.\arcsin{x}\right|\limits_0^{\sqrt{3}/2}\\\\=\arcsin{(\sqrt{3}/2)}=\boxed{\dfrac{\pi}{3}}[/tex]
In how many different ways can you arrange 6 flower vases on a table?
Answer:
720
Step-by-step explanation:
To solve a problem like this, you do: !6
This basically means 6*5*4*3*2*1
6*5 = 30
30*4=120
120*3=360
360*2=720
720*1=720
Triangle ABC is reflected across the y-axis to form the triangle A'B'C', then dilated
with a factor of 1/3 to form triangle A"B"C". Which of the following statements is
true for AABC and AA"B"C'?
O A) AABC and AAB"C" are similar triangles.
B)
There's not enough information to identify whether AABC and AA"B"C" are
congruent or similar.
C) AABC and AA"B"C"are congruent triangles.
D AABC and AA"B"C" are neither similar nor congruent.
Given:
Triangle ABC is reflected across the y-axis to form the triangle A'B'C'.
Then dilated with a factor of 1/3 to form triangle A"B"C".
To find:
The correct statement for triangles ABC and A"B"C".
Solution:
We know that reflection is a rigid transformation, it means size and shape of the figure remains same after reflection.
So, figures are always congruent to their images after reflection.
[tex]\Delta ABC\cong Delta A'B'C'[/tex] ...(i)
Dilation is not a rigid transformation. Here, shape remains same nut the size is different.
So, figures are always similar to their images after dilation.
[tex]\Delta A'B'C'\sim \Delta A"B"C"[/tex] ...(ii)
Using (i) and (ii), we get
[tex]\Delta ABC\sim \Delta A"B"C"[/tex]
ΔABC and ΔAB"C" are similar triangles.
Therefore, the correct option is A.
Why do we say that the sun is the driving force for (it causes) the weather?
The sun evenly heats up the Earth causing winds.
The sun affects land and water the same way.
The sun supplies the energy (radiation) that drives the water cycle.
The sun evenly heats up the Earth causing water currents.
Answer: The sun supplies the energy (radiation) that drives the water cycle.
Step-by-step explanation:
Option A is wrong because the Sun does not evenly heat up the Earth. The Earth is spherical so the sun heats up some areas more than others.
Option B is wrong as well because the sun does not affect the land and the water the same way.
Option C is correct because radiation from the sun is what causes evaporation in the water cycle.
Option D is wrong because as shown in the first option, the sun does not evenly heat up the Earth.
Find the missing side ?
Answer:
37
Step-by-step explanation:
Please help these are two different questions !
Answer:
120 Girls
Step-by-step explanation:
First, you have to combine the dark shade girls and the light shade girls together to get 7.
Then, you should divide 210 by 7, to get 30
Finally, using 30 as your multiplier,
you go and multiply 30 x 4 to get 120 girls :D
match the equation with its graph . identify the slope and y-intercept y= -2/3x+1
Answer:
the slope is -2/3x and the y intercept is 1
Step-by-step explanation:
The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of the rectangle.
Step-by-step explanation:
Let the width=x
Length =6x-4
As we know that in a rectangle
[tex]{\boxed{\sf Area=LB}}[/tex]
Substitute the values[tex]\hookrightarrow\sf x (6x-4)=20 [/tex]
[tex]\hookrightarrow\sf 6x^2-4x=20 [/tex]
[tex]\hookrightarrow\sf 6x^2-4x-20=0 [/tex]
Here a=6, b=-4, c=-20.use quadratic formula[tex]\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}[/tex]
A Polynomial, p(x), has zeros when x = -2, x = 1/3, X = 3. What could be the equation of p(x)?
Answer:
(x+2)(x-1/3)(x-3)
Step-by-step explanation:
This could be a possible equation, the signs of the of the roots are always the opposite in the equation form.
where do i place the dots/arrows? will give brainliest!!!
Answer:
Step-by-step explanation:
first 95 x 60 (60 because there is 60 minutes in an hour) then multiply that number by 10 then start ploting the numbers up for example it goes 57,000 then multiply that by 2 and keep ploting.
An athlete takos 10 rounds of a rectangular park 10 m long and 30 m
wide Find the total distance covered by him.
Answer:
area of rectangular park is 2(l+b)2(10+30)2×4080m²total distance = 10×80m² = 800m²You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.015. Can you be confident that your predicted value will be reasonably close to the actual value?
a. Yes, because the correlation is close to zero, it is strong.
b. Yes, No, because the correlation is close to zero, it is strong.
c. No, because the correlation is close to zero, it is weak.
d. No, because the correlation is negative, it is weak.
Answer:
Following are the solution to this question:
Step-by-step explanation:
For this set, the correlation coefficient is = -0.015.
It shows that financial variables have trust issues. Once a price rises, the other one is decreasing the value of -0,015 shows, that there are several fewer associations in the set of data among x and y and between y values. This interaction also can range between -1 to 1, to 0 being completely unrelated. But you'd never be sure, in this situation, 0.015 is very similar to 0.
It means that your prediction is nothing better than just a wild choice. Its odds of an estimated value being relatively close to the actual result are therefore much smaller as the points are it's hardly the best match.