Answer:
[tex]\large\boxed{a.\ 7200\pi\ mm^2}[/tex]
Step-by-step explanation:
The formula of a surface area of a cylinder:
[tex]S.A.=2\pi r(r+H)[/tex]
r - radius
H - height
We have r = 40mm and H = 50mm. Substitute:
[tex]S.A.=2\pi(40)(40+50)=80\pi(90)=7200\pi\ mm^2[/tex]
If l ll m, what is the value of x?
Answer:
x = 137
Step-by-step explanation:
∠43° and ∠x° are same side exterior angles as they are on the same side as the transversal but outside the parallel lines. The 2 angles are supplementary, hence
x + 43 = 180 ( subtract 43 from both sides )
x = 137
Based on the information given, the value of x will be 137°.
It should be noted that angles x and 43° are on the same side of the transversal but they're are outside the parallel lines. In this case, the angles are supplementary which means that when they are added together, their total angles equal 180°.
Therefore, the value of angle x will be:
= 180° - 43°
= 137°
Therefore, x is 137°.
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What is (ab-9)(ab+8)
It's an expression that's made out of the product of two binomials.
When the indicated multiplication is carried out, the expression reads:
a²b² - ab - 72
ANSWER
[tex](ab-9)(ab+8) = {(ab)}^{2} - ab - 72[/tex]
EXPLANATION
We want to expand (ab-9)(ab+8)
We use the distributive property to obtain,
[tex](ab-9)(ab+8) = ab(ab+8)-9(ab+8)[/tex]
Expand:
[tex](ab-9)(ab+8) = {(ab)}^{2} +8ab-9ab - 72[/tex]
Combine the middle terms to get;
[tex](ab-9)(ab+8) = {(ab)}^{2} - ab - 72[/tex]
Or
[tex](ab-9)(ab+8) = a^2b^2 - ab - 72[/tex]
Draw 2 cards from a standard deck of 52 cards. What is the probability that the first card is a queen and the second card is a king?
Answer:
4/663
Step-by-step explanation:
There are four queens. The probability that the first card is a queen is 4/52.
There are four kings. There are 51 cards left after the first card has been drawn, so the probability that the second card is a king is 4/51.
Therefore, the probability that the first card is a queen AND the second card is a king is:
P = 4/52 × 4/51
P = 4/663
The probability of drawing a queen first and a king second from a standard deck without replacement is 1/663.
The student is asking about the probability of drawing two specific cards from a standard deck of 52 cards. To calculate this probability, we need to consider the sequence of events without replacement. For the first card to be a queen, the probability P(A) is 4/52 because there are 4 queens in a deck of 52 cards. After drawing a queen, there are now 51 cards left in the deck. The chance that the second card is a king, P(B), is then 4/51, as there are still 4 kings but only 51 cards remaining.
The two events are dependent since the outcome of the first draw influences the second. Therefore, the combined probability of both events occurring is found by multiplying the probabilities of each event:
P(A and B) = P(A) × P(B) = (4/52) × (4/51)
This gives us P(A and B) = 1/13 × 1/51, which simplifies to 1/663.
James's weekly quiz scores are shown in the stem-and-leaf plot below.
If he drops his scores from the first two weeks, his mode score increases by $2$. How much would his mean score increase?
Answer:
By 0.75
Step-by-step explanation:
From the stem-and-leaf plot you can find James's scores:
79, 81, 83, 83, 83, 85, 85, 88, 94, 99.
The mode is 83 (most often score). If he drops his scores from the first two weeks, his mode score increases by 2. This means that the mode became 85 and the data looks like
79, 81, 83, 85, 85, 88, 94, 99.
Now find two means.
1. The old mean:
[tex]\dfrac{79+81+83+83+83+85+85+88+94+99}{10}=\dfrac{860}{10}=86;[/tex]
2. The new mean:
[tex]\dfrac{79+81+83+85+85+88+94+99}{8}=\dfrac{694}{8}=86.75;[/tex]
Thus, the mean will increase by 0.75.
A school typically sells 500 yearbooks in a year for $50 each. The economics class does a project and discovers that they can sell 125 more yearbooks for every $5 decrease in price. The revenue for year book sales is r(x)+(500+125x)(50-5x). To maximize profit, what prices should the school charge for the yearbooks?
Answer:
875 yearbooks.
Step-by-step explanation:
To maximize profit, at $8125 prices should the school charge for the yearbooks
Simplify first the equation,
R(x) = 25000 - 2500x + 6250x - 625x²
Then, we differentiate the equation and equate to zero.
dR(x) = -2500 + 6250 - 1250x = 0
The value of x from the equation is 3.
(1) The price is equal to 50 - 5(3) = $35.
(2) The possible maximum revenue:
R(x) = 2500 - 2500(3) + 6250(3) - 625(3²) = $8125
(3) number of yearbooks sold:
500 + 125(3) = 875 yearbooks
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A bank is offering a loan to account holders. If they pay the full amount off in 14 months they are charged no interest. Denise needs a $6500 loan to get a new car, in order for her to avoid interest charge how much will she have to pay back each month?
Final answer:
Denise will need to pay $464.29 each month for 14 months to repay a $6500 loan and avoid any interest charge.
Explanation:
To calculate how much Denise will need to pay each month to avoid an interest charge on her $6500 loan, we simply divide the total loan amount by the number of months she has to repay the loan.
So, the monthly payment Denise needs to make is $6500 divided by 14 months:
$6500 ÷ 14 months = $464.29 per month (rounded to two decimal places).
To repay the full amount in 14 months and avoid any interest, Denise will need to pay $464.29 each month.
what is the scientific name for the study of shopping
Buyology
Hope I helped with this clever pun I’ve said since high school
The required scientific name for the study of shopping is termed oniomania.
What are scientific names?Scientific names are used to provide a name to an organism or object such that two individuals can be sure that they are referring to the same organism.
Oniomania, the scientific name for the study of shopping,
Oniomania shows a strange instinct for buying things. It is an addiction to shopping.
Thus, the required scientific name for the study of shopping is termed oniomania.
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Please hurry and help meeeeeee
Answer:
d
Step-by-step explanation:
plug the answers in
The answer to the problem is b
what is 2x-9y=14 need immediate help
Let's solve for x.
2x−9y=14
Step 1: Add 9y to both sides.
2x−9y+9y=14+9y
2x=9y+14
Step 2: Divide both sides by 2.
2x /2
= 9y+14 /2
x= 9 /2 y+7
We need to solve for x.
2x - 9y = 14
Move the 9y to the right side and use inverse operations.
2x = 14 + 9y
Divide both sides of the equation by 2.
x = 7 + 9/2y or x = 7 + 4.5y
I will attach a picture of the graph as well in case that’s what you were looking for.
Write the algebraic expression that matches each graph:
Answer:
y=absolute value of x-1 Looks kind of like y=Ix-1I
Step-by-step explanation:
Answer:
y= IX+1I
Step-by-step explanation:
In these cases +1 is to the left and minus one is to the right
need an answer asap!!! brilyent to the right answer :)
The probability of winning a game is 10%. How many times should you expect to win if you play 80 times?
(A)10 times
(B)13 times
(C)8 times
(D)5 times
Answer:
c
Step-by-step explanation:
10% is equivalent to .10.
.1 *80 is 8.
you can also do it 10% is 1/10 of 100, so find 1/10 of 80, and you get the answer, 8.
a hose is at a canstant rate of 15 litters per min what is the amount of litters in 7 min
Answer: 105 liters on 7 min.
Step-by-step explanation:
Since the unit rate of the liters to minutes is 15:1. Since its 15 liters in 1 minute you would have to multiply 15 by 7, and your answer would be 105 liters in 7 minutes.
Remember to multiply the unit rate by the min. or units.
find the area of the shaded region. round to the nearest hundredth where necessary.
Answer:
this is no picture or any thing to help me to give you a answer
Step-by-step explanation:
Answer:
I am sorry but you don't have a picture.
Step-by-step explanation:
can someone please help me
Answer:
[tex]r(9p+10)(p+7)[/tex]
Step-by-step explanation:
First, we can factor out an r.
[tex]9p^2r+73pr+70r \\ \\ r(9p^2+73p+70)[/tex]
Then, we can factor this out.
[tex]r(9p+10)(p+7)[/tex]
helppppppppp asappppp pleaseeeee 10 pointssssss
a box of cereal contains 15 ounces of cereal there are 9 servings of cereal in the box each serving of cereal has 140 calories which expression could you use to find the number of calories in 1 ounce of cereal
A 140 - 15 * 9
B 15 * 140 / 9
C (9 * 140) / 15
D 15 * 9 / 140
Answer:
(9 * 140) / 15
Step-by-step explanation:
For each serving it is 140 calories, and there is 9 servings in that cereal. So you want to multiply 9 by 140. And there are 15 ounces in the box so the amount of total calories are to be divided by 15. Thus C should be the right answer.
Complete the two-way frequency table below. The table shows that, of 40 students in a physical education class, 16 play football, 9 play basketball, and 4 play both sports. How many students in this class do not play football or basketball?
Football Do Not Play Football Total
Basketball 4 9
Do Not Play Basketball
Total 16 40
A.) 19
B.) 21
C.) 4
D.) 17
i tried working this out but it doesnt make sense, at least the table doesnt... did you make this question up or get it off of a school assignment??
Answer: Option A; 19
Step-by-step explanation:
The data is:
We have 40 students.
16 play football
9 play basketball
4 play bot sports.
We want to find the number of students that do not play either sport, for this we should add the number of students that play football and the number of students that play basketball, subtracting the number of students that play both sports (because we sill be counting those two times, this is because those 4 students are included in the 16 for football and also in the 9 for basketball.)
N = 16 + 9 - 4 = 12 + 9 = 21
the number of students that do not play basket or football is equal to:
40 - N = 40 - 21 = 19
The correct option is A
Simplify -8+6i/4-2i
Answer:
-1.1+0.4i
Step-by-step explanation:
Multiply the numerator and the denominator by [tex]4+2i:[/tex]
[tex]\dfrac{-8+6i}{4-2i}\cdot \dfrac{4+2i}{4+2i}=\dfrac{-32-16i+24i+12i^2}{4^2-(2i)^2}\ \ [\text{use formula }a^2-b^2=(a-b)(a+b)]\\ \\=\dfrac{-32+8i-12}{16-4i^2}\ \ [\text{remember }i^2=-1]\\ \\=\dfrac{-44+8i}{16+4}\\ \\=\dfrac{-44+8i}{20}\\ \\=-\dfrac{11}{10}+\dfrac{4}{10}i\\ \\=-1.1+0.4i[/tex]
Answer:
−11
5
+
2
5
i
Step-by-step explanation:
My brother is in 6th grade and needs help with his math. I tried to help but I can't find any answers on it.
Answer:
Question 1) 17.4
Question 2) 1.7
Question 3) 2.8
Question 4) 8.6
Step-by-step explanation:
Mean absolute deviation is the average distance between the data points from the set to the mean point of the data set. It shows the variability in data or how much the data points are spread.
method to calculate Mean absolute deviation:
a. calculate mean
b. calculate absolute deviation of each data point
c. add all the deviations
d. divide absolute deviation by number of points
mean absolute deviation = ∑l[tex]x_{i}[/tex]-xl / n
The given problem has four sub-parts
Solution 1:
Mean= (78+99+90+80+55+56+102+88+60+42)/10
= 750/10
= 75
Mean absolute deviation= ( I 78-75 I + I 99-75 I+I 90-75 I + I 80-75 I +
I 55-75 I + I 56-75 I + I 102-75 I + I 88- 75 I +
I 60-75 I + I 42-75 I) /10
= (174)/10
= 17.4
Solution 2:
Mean = (10+13+7+12+9+8+12+10+11+13)/10
= (105)/10
= 10.5
Mean absolute deviation = ( I 10-10.5 I + I 13-10.5 I + I 7-10.5 I + I 12-10.5 I +
I 9-10.5 I + I 8-10.5 I + I 12-10.5 I + I 10-10.5 I +
I 11-10.5 I + I 3-10.5 I) /10
= 17/10
= 1.7
Solution 3:
Mean= (1+7+10+5+3+3+6+12+9+4)/10
= 60/10
= 6
Mean absolute deviation = ( I 1-6 I + I 7-6 I + I 10-6 I + I 5-6 I + I 3-6 I +
I 3-6 I + I 6-6 I + I 12- 6 I + I 9-6 I + I 4-6 I) /10
= (28)/10
= 2.8
Solution 4:
Mean= (30+46+25+45+18+25+15+32+40+24)/10
= 300/10
= 30
Mean absolute deviation = ( I 30-30 I + I 46-30 I + I 25-30 I + I 45-30 I +
I 18-30 I + I 25-30 I + I 15-30 I + I 32-30 I +
I 40-30 I + I 24-30 I) /10
= (86)/10
= 8.6
!
what is the length of GH to the nearest tenth of a meter
tan 45° = x/10
1 · 10 = x
10 = X
GH = 10
Answer:
The correct answer is actually 13.7
Step-by-step explanation:
I'm taking the test now
13. Andi can rent a furnished apartment for $605 per
month. The landlord requires first and last months'
rent plus a security deposit of $300. How much will
Andi have to pay before she can rent this
apartment?
$300
$2,115
$1,210
$1,510
$605
Answer:
$1,510
Step-by-step explanation:
Multiply $605 × 2 to get first and last month rent total. =$1,210
Then add $1,200 +$300(security deposit)=$1,510 total deposit to acquire the apartment
Answer:
Andi have to pay $1,510.
Step-by-step explanation:
Andi can rent a furnished apartment for = $605 per month
with a security deposit = $305
Her landlord requires first and last months' rent plus a security deposit.
Andi have to pay = first month rent + last month rent + security deposit.
= $605 + $605 + 300 = $1,510
Andi have to pay $1,510 before she can rent this apartment.
write the equation of a line in slope intercept form that has slope of 6 and has a y- intercept of 1/2
Answer: y = 6x+1/2
Step-by-step explanation: y=mx+b
b is intercept
m is slope
Answer:
y = 6x + 1/2
Step-by-step explanation:
Slope intercept form is
y=mx+b where m is the slope and b is the y intercept
y = 6x + 1/2
If f(x) = x-1/3 and g(x) = 3x+1 , what is the domain of (f*g)(x) ?
Answer:
-∞ < x < ∞
Set of all integers
Step-by-step explanation:
Given in the question two functions
f(x) = [tex]x^{\frac{1}{3} }[/tex] = ∛x
g(x) = 3x + 1
(f*g)(x)
f(g(x))
∛(3x+1)
Domain of (f*g)(x)
In function ∛(3x+1) , variable x can be any integer.
so, the domain is set of all integers
-∞ < x < ∞
3/4=9/x ASAP help now!!!
Cross multiply [tex]\frac{3}{4} = \frac{9}{x}[/tex].
3x = 4 * 9
3x = 36
Divide both sides by 3.
[tex]\frac{3x}{3} =\frac{36}{3}[/tex]
x = 12
A- a regular heptagon
B- an irregular convex heptagon
C-an irregular concave heptagon
D- a complex heptagon
Answer:
C. an irregular concave heptagon
Explanation:
Before we begin, we should define the terms used in the choices given:
1- Heptagon: It is the polygon that has 7 sides
2- Regular heptagon: It is a 7-sided polygon in which all sides are equal and all angles are equal
3- Irregular heptagon: It is a 7-sided polygon in which neither the sides nor the angles are equal
4- Concave heptagon: It is a 7-sided polygon in which one or more of its angles are more than 180°
5- Convex heptagon: It is a 7-sided polygon in which all its angles are less than 180°
6- Complex heptagon: It is a 7-sided polygon whose dimensions are in the complex plane
Now, let's check the given diagram:
It is a 7-sided polygon, therefore, it is a heptagon
It's sides as well as its angles are not equal, therefore, it is an irregular heptagon
It has interior angles measuring more than 180°, therefore, it is a concave heptagon
Its dimensions are not in the complex plane, therefore, it is not a complex polygon
Based on the above, the best choice is:
C. an irregular concave heptagon
Hope this helps :)
A heptagon is a seven-sided polygon. Regular heptagons have all equal sides and angles, irregular convex heptagons have unequal sides but all angles less than 180 degrees, irregular concave heptagons have at least one interior angle more than 180 degrees while complex heptagons have intersecting sides.
Explanation:In mathematics, a heptagon is a seven-sided polygon. A- A regular heptagon is a heptagon in which all seven sides and all seven angles are congruent, meaning they are of equal length or degree. B- An irregular convex heptagon has seven sides, but they are not all equal, however, all its interior angles are less than 180 degrees. C- An irregular concave heptagon is also an irregular heptagon, but at least one of its interior angles is more than 180 degrees. D- A complex heptagon is a heptagon with sides that intersect each other, but this is not a standard classification in geometry.
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find the diameter of a circle f a circle with an area of 676pie square centimeters.
[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=676\pi \end{cases}\implies 676\pi =\pi r^2\implies \cfrac{676\pi }{\pi }=r^2 \\\\\\ 676=r^2\implies \sqrt{676}=r\implies 26=r~\hspace{10em}\stackrel{\textit{diameter = 2r}}{52}[/tex]
THIS WILL GIVE YOU BRAINLIEST AND 5 STARS!!!!!!
What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?
-1/2
2
-2
1/2
Alright, so it would be -2 since on a coordinate grid you have the x and y axis. The slope of the line that passes through (-2, 2) and (-4, -2) would be -2.
I hope this helps!~ c:
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (- 4, - 2)
m = [tex]\frac{-2-2}{-4+2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2
The radius of a circle is 6 inches what is the circumference?
The answer is 37.6991 i hope i answered your question
What is the most specific name for quadrilateral PQRS?
It’s hard to help, since there’s no picture :/
Which of the following data is used to determine credit scores? A. who stays with you at your current residence B. the location of your current residence C. the length of stay at your current residence
Answer:
The length of stay at your current residence is used to determine credit scores. On most credit applications and applications in general, this question is asked to help the lender look up information about your history of payments. When a lender asks this question they are able to determine how long you typically stay in one place, and look up bills at that residence to make sure they are paid on time before giving out a loan. They can also use this information to determine a credit score based on what is being paid on time, late or not at all.
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Step-by-step explanation:
what is the mean of the values in the stem-and-leaf plot into your answer in the Box
Answer:
Step-by-step explanation:
you need more information bu the stem-leaf is meant to split the number