complete by using the distributive property (y+3)(y+3)(y+3)
Answer:
y^3+9y^2+27y+27
Step-by-step explanation:
Step 1: Start by understanding FOIL. First. Outer. Inner. Last.
Step 2: In this case we have three sets of parenthesis not 2. So we have to do the same thing but multiply 2 (y+3) sets by y and 3 instead of only multiplying y and 3 by one set.
Step 3: So we get y^3+6y^2+9y+3y^2+18y+27.
This simplifies to y^3+9y^2+27y+27
What is the surface area ,in square meters of the toy box
Answer:426m^2
Step-by-step explanation:
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
Part A: 23
Part B: 13
Part C: Median for the males
Mean for the females
Part D: The day the movie premiered
Process to arrive at the above answers
The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month
The known parameters
The 5 number summary in a are;
[tex]\begin{array}{lcc}\mathbf{Summary}&\mathbf{Males}&\mathbf{Females}\\\\Minimum &0&0\\First \ Quartile, \ Q_1&2&5\\Second \ Quartile, \ median, Q_2&20&7\\Third \ Quartile, Q_3&25&10\\Maximum &50&18\\Outlier&&46\end{array}[/tex]
Part A: The Inter Quartile Range, IQR = Q₃ - Q₁
For the males, we have, IQR = 25 - 2 = 23
Part B: The difference between the median values for the males and females is given as follows;
Difference between median = Q₂ Males - Q₂ Females
∴ Difference between median = 20 - 7 = 13
The difference between the median values for the males and females = 13
Part C:
The distribution of the data for the males is skewed left, with almost all the data in the first half
The better measure of center for the skewed data is the median, given
that three quarter of the data have values that are less than half of the
range of values in the data set, and that the median is close to the third
quartile, the mean will be located further towards the minimum value of
the data than the median
The distribution of the data for the females consists of the interquartile
range located approximately in the middle between the max and the min
values with the median being close to the first quartile, therefore, the
mean will be a better measure of center as it will be located further from
the first quartile and closer midway in the IQR
Part D;
The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered
Learn more about box plots here;
https://brainly.com/question/16171899
https://brainly.com/question/20164121
https://brainly.com/question/17248599
1. Which of these is most likely to describe the number of yards lost in a football game?
A. rational number
B. whole number
C. real number
D. integer
Answer:
Step-by-step explanation:
whole number with the occasional jump into rational numbers when a down like 2nd and 5 1/2 to go.
х
x
320
X=
degrees.
SJSJSJSJS Ja
Answer:
122
Step-by-step explanation:
The exterior angle of a triangle is the sum of the opposite interior agnles
32+90 =x
122 =x
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
[tex] \bf \large \hookrightarrow \: \: x \: = \: 32 \degree \: + \: 90 \degree [/tex]
[tex]\bf \large \hookrightarrow \: \: x \: = \: 122 \degree[/tex]
A. 4√29/ 7 feet
b. 4√5 feet
c.√164 feet
d. 2√41
Answer:
These two triangles are similar triangles. This means that their side lengths are proportional to each other.
Thus, making line segment EC equal to "x", and BC equal to "y" we can write:
8/y = 28/(10+y)
The next step is to get rid of the fractions, which can be done by cross multiplying.
So we have:
8(10+y) = 28(y)
After distribution and some simplification, you should get the value of y.
80+8y = 28y
80 = 20y
80/20 = 20y/20
4 = y
y = 4
Knowing that y = BC, and y = 4, it is clear that BC = 4.
Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.
Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)
In our case, a and b are 8 and 4 (the order doesn't really matter here).
So we have: 8^2 + 4^2 = c^2
64 + 16 = c^2
80 = c^2
c = sqrt 80
c = 4 sqrt 5
And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.
Hope this helps!
the area if the top of a cube is 9 aquare meters . what is the volume of the cube?
Answer:
27 cubic meters
Step-by-step explanation:
For square, length and width is same.
3x3 = 9 square meters
3x3x3 = 27 cubic meters
Volume of a cube = length · width · height, or:
Volume of a cube = length³
We know that a cube is made up of 6 squares, so if the area of one of the squares is 9, we can take the square root to find the sides:
√9 = ±3
(and in this case, you can't have negative measurements, so it's positive.)
Now, all we have to do is cube the side length, so:
3³ = 27.
If you have any questions, feel free to ask! :)
pls help pls pls pls pls
Answer:
B' - (3,1)
C' - (3,8)
D' - (6,-1)
Step-by-step explanation:
[tex]x + 0.25 = -0.25[/tex]
Answer:
x = -0.5
Step-by-step explanation:
x + 0.25 = -0.25
x = -0.25 - 0.25
x = -0.5
Write the equation of the line that passes through the points (4,5) and (4,-6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
x=4
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( -6-5)/(4-4)
= -11/0
This means the slope is undefined
Then means it is a vertical line
Vertical lines are in the form
x = constant
The constant in this case is the x value of the points
x=4
Can you find the area of the figure?
Answer:
Below
Step-by-step explanation:
First I found the area of the triangle on the right
A = bh/2
A = (9)(4.5) / 2
A = 20.25 ft^2
Next, the area of the rectangle in the middle
A = lw
A = (7.5)(9)
A = 67.5 ft^2
And now the area of the right triangle on the left
A = bh/2
A = (5)(9) / 2
A = 22.5 ft^2
Add em all up : 20.25 + 67.5 + 22.5 = 110.25 ft^2
Hope this helps!
find the sum of 56, the product of 18 and - 3 and the positive difference between 52 and 29.... PLEASE
Answer:
25
Step-by-step explanation:
product of 18 and -3=18*-3= -54
positive difference=52-29=23
(18x-3)+56+(52-29)
= -54 + 56 + 23
=25
Cinco litros de agua se divide en cuatro partes iguales, me tomo 2 partes ¿Cuánto me queda?
Answer:
2 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
5 ÷ 4 = 1 [tex]\frac{1}{4}[/tex]
1 [tex]\frac{1}{4}[/tex] × 2 = 2 [tex]\frac{2}{4}[/tex] = 2 [tex]\frac{1}{2}[/tex]
5 - 2 [tex]\frac{1}{2}[/tex] = 2 [tex]\frac{1}{2}[/tex]
respuesta: 2 [tex]\frac{1}{2}[/tex]
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
1)
-2x - 5 = x - 17
-2x - 5 + 5 = x - 17 + 5
* cancel out 5 on each side of equal sign.
2)
-2x = x - 12
-2x - x = x - x - 12
* cancel out x on each side of equal sign.
3)
-3x = -12
-3x/ -3 = -12/-3
* cancel out -3x on each side of equal sign.
4) Simplify
x = 4
Hope this helps, good luck! :)
Have a great day!!
A ball is dropped from the top of a building. The table shows its height in feet above ground at the top of each bounce. What is the height of the ball at the top of bounce 6?
Answer:
89.1
Step-by-step explanation:
As the ball bounces, the height lowers due to gravity, Goes down by 50, 40, 32, 26.6. It should continue to go down.
(If im wrong ill edit the answer.)
Which of the following has all the justifications Kelsey used to solve this equation?
(9th grade Algerbra 1)
Question 13 (5 points)
m_1 = (4x + 9)º and m_2 = (x - 14)° in the given figure. Find x.
Answer:
x=19°
Step-by-step explanation:
Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.
Right angles always add up to 90°.
So, Angle 1 add Angle 2 equals 90°.
4x+9+x-14=90°
Collect the like terms:
Like terms are terms with the same variables and powers.
4x+x=5x
9-14= -5
Form an equation:
5x-5=90°
Do inverse operations to isolate x.
90+5=95°
95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).
So, x=19°
Hope this helps :)
when 1/3k + 1/4k = 1 what is the value of k
Answer:
First of all take lcm u get
4 + 3 / 12k = 1
7 = 12k
k = 7/12
ques solved
Answer:
k = 7/12 or approximately 1.71
Step-by-step explanation:
We first need to convert both fractions denominators to their LCM (Lowest Common Multiple)
Multiples of 4: 4, 8, 12, 16
Multiples of 3: 3, 6, 9, 12
12 is the LCM
Then we convert both fractions to have a denominator of 12. Remember, whatever you do to the numerator must be done to the denominator.
1/3 x 4/4 = 4/12
1/4 x 3/3 = 3/12
The equation is now: 4/12k + 3/12k = 1
Add up both variables to get: 7/12k = 1
Divide both sides by 7/12: (12/7)7/12k = 1(12/7)
k = 12/7 or approximately 1.71
I need help with A-I on #1
Answer:
1a. 104
1b. 8x
1c. 13y
1d. xy
1e. 3+y
1f. x+7
1g. x-y
1h. x divided by y
1i. x+3
1j. 3x
1k. y-5
1l. 1/5y
2a. 26
2b. x+9
HELPPP!
Suppose that you head an insurance company. Your most popular insurance policy has a premium of $600 and a deductible of $1,000. This insurance policy provides your state’s minimum coverage of $30,000 for injury or death to one person, $50,000 for injury or death to two or more people, and $10,000 for damage to property, which is called 30/50/10 coverage. Assume that, on average, 2 of your 100 customers have an accident every year. One of the accidents causes damage to property and the other causes injury or death to one person. Both drivers file for the maximum claims
Now assume that you are one of the customers purchasing this popular insurance policy with the company. Considering only your premiums, deductible, and claims, what is the break-even period after which you could make a $10,000 claim for property damage without the insurance company suffering a loss? Explain your answer.
Considering only this customer's premiums, deductible, and claims, the break-even period after which the customer could make a $10,000 claim for property damage without the insurance company suffering a loss is 15 months.
At this break-even period, the company will not make a profit or a loss.
Data and Calculations:
Monthly insurance premium payable = $600 (assumed to be paid monthly)
Deductible on the insurance policy = $1,000
Minimum coverage = 30/50/10
Coverage for injury or death to one person = $30,000
Coverage for injury or death to two or more people = $50,000
Coverage for damage to property = $10,000
Average accidents every year = 2
Total claims cost to the insurance before deductibles = $40,000 ($30,000 + $10,000)
Break-even period = 15 ($10,000 - $1,000)/$600
This break-even period is computed by deducting the deductible from the claim that the customer makes, and then dividing the result by the monthly insurance premium.
Thus, the customer could make a $10,000 claim for property damage without the insurance company suffering a loss after 15 months' break-even period.
Learn more about break-even here: https://brainly.com/question/22875945
Solve for X. Geometry
Answer:
x=12
Step-by-step explanation:
LM + MN = LN
2x-16 + x-9 = 11
Combine like terms
3x-25=11
Add 25 to each side
3x-25+25 = 11+25
3x = 36
Divide by 3
3x/3=36/3
x = 12
solve for the measure of a
Answer:
Step-by-step explanation:
The supplement of the exterior angle is 180 - 75 = 105
In a cyclic quadrilateral (a four sides figure where all the vertices touch the circumference of a circle), the opposite angles are supplementary. Therefore <a = 180 - 105 = 75
But I think you already knew that.
A side of the triangle below has been extended to form an exterior angle of 72°. Find the value of xx
x + 20 = 72
x + 20 - 20 = 72 - 20
x = 52
Answer:
x=52
Step-by-step explanation:
The exterior angle of the triangle is equal to the sum of the opposite interior angles
72 = 20+x
72-20 = 20+x-20
52 =x
Which of these is NOT an integer
A) 3 raised to the power of -5
B) -3 raised to the power of 5
C) (1/3) raised to the power of -5
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option A
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Option A:}}\\\\3^{-5}\\\\\rightarrow \frac{1}{3^5}\\\\\rightarrow \frac{1}{243}\\\\\ \text{This is \textbf{NOT} an integer.}}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Option B:}}\\\\-3^5\\\\\rightarrow -3 * -3 * -3 * -3 * -3 \\\\\rightarrow \boxed{-243}\\\\\\\text{This \textbf{IS} an integer.}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Option C:}}\\\\\frac{1}{3}^{-5} \\\\\rightarrow \frac{1}{(\frac{1}{3})^5}\\\\\rightarrow \frac{1}{\frac{1}{243} }\\\\\rightarrow \boxed{243}\\\\\\\text{This \textbf{IS} an integer.}[/tex]
⸻⸻⸻⸻
[tex]\text{Option \textbf{A} does not simplify into an integer.}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
AHHH PLEASE HELP MEH
Evaluate (cot90)(cos45) + sec45 exactly. No decimals allowed, rationalize if necessary
Answer: [tex]\sqrt{2}[/tex]
======================================================
Explanation:
Rewrite each trig function terms of sine and/or cosine. Then use the unit circle to find that,
[tex]\cot(90^{\circ})\cos(45^{\circ}) + \sec(45^{\circ})\\\\\frac{\cos(90^{\circ})}{\sin(90^{\circ})}\cos(45^{\circ}) + \frac{1}{\cos(45^{\circ})}\\\\\frac{0}{1}*\frac{\sqrt{2}}{2} + \frac{1}{(\sqrt{2})/2}\\\\\frac{2}{\sqrt{2}}\\\\[/tex]
Now rationalize the denominator
[tex]\frac{2}{\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2*2}}\\\\\frac{2\sqrt{2}}{\sqrt{4}}\\\\\frac{2\sqrt{2}}{2}\\\\\sqrt{2}[/tex]
Which is the exact value of [tex]\sec(45^{\circ})[/tex]
The portion [tex]\cot(90^{\circ})*\cot(45^{\circ})[/tex] evaluates to 0 and goes away.
Which transformation can NOT be used to prove that ABC is congruent to
DEF?
O A. dilation
B. rotation
C. reflection
ОО
D. translation
Answer
A. dilation
Step-by-step explanation:
if we dilate the diagram it will be enlargedd so cannot be proved as congruent
The transformation that can not be used to prove that ABC is congruent will be dilation. The correct option is A.
What is transformation?Transformation a process by which one figure, expression, or function is converted into another one of similar value. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
When the triangle is rotated its original shape and size will not change it only changes its position then the triangle will remain congruent.
When the triangle is reflected it means that its mirror image is formed then the size and shape will again remain unchanged the triangle will be congruent.
When the triangle is translated then also its size will not change only it changes its position. The triangle will be congruent.
When the triangle is dilated it means that the shape of the triangle is increased or decreased then the triangle will not be congruent when it is dilated.
To know more about dilation follow
https://brainly.com/question/3457976
#SPJ5
Electric company charges Jerome $0.05 per kilowatt-hour (kWh) of energy he uses in his house. If Jerome was charged $36 by the electric company, how many kilowatt-hours of energy did Jerome use?
Answer:
720kWh
Step-by-step explanation:
36/.05=720
I NEED HELP ASAP ITS FOR MY SCHOOL WORK AND I CANT FIGURE THIS OUT
Answer:
28.
megabyte- [tex]10^6[/tex]
terabyte- [tex]10^{12}[/tex]
gigabyte- [tex]10^9[/tex]
For [tex]10^6, 10^9, 10^{12},[/tex] and [tex]10^{15}[/tex], put the 1, and add the exponent # of 0s.
29.
The cube is 6×6×6 or 216 in. It would be 6³, because the 6 is multiplied 3 times.
30.
a. 10
b. 5120
I hope this helps!
pls ❤ and mark brainliest pls!
Answer:
Question 28
megabyte: 10⁶
terabyte: 10¹²
gigabyte: 10⁹
Question 29
6³
Question 30
a. 20
b. 5,120
Which graph represents the solution set of this inequality?
Answer:
C
Step-by-step explanation:
5a + 18 < -27
5a < -45
a < -9
Graph C matches the solution set of this inequality.
Write 0.15 as a fraction in simplest form. 0.15 =
Step-by-step explanation:
0.15 as a Fraction in simplest form to convert 0.15 to a fraction and simplify to the lowest form.
Working:
0.15 = 15/100
So the simplest form is :
0.15 = 3/20