Answer:
50 square centimeters
Step-by-step explanation:
Long means length, and we know the length of the label, 10 centimeters. That means the width is half of 10 centimeters, or 5 centimeters. Now, we multiply 10 and 5 to get 50. That means the area of the label is 50 square centimeters
which equation represents the function?
Answer:
[tex]y = \frac{5}{3}x +9[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation
First: We calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (-6,-1)[/tex]
[tex](x_2,y_2) = (0,9)[/tex]
The slope becomes:
[tex]m = \frac{9-(-1)}{0 - (-6)}[/tex]
[tex]m = \frac{9+1}{0+6}[/tex]
[tex]m = \frac{10}{6}[/tex]
[tex]m = \frac{5}{3}[/tex]
The equation is then calculated as:
[tex]y - y_2 = m(x-x_2)[/tex]
So, we have:
[tex]y - 9 = \frac{5}{3}(x - 0)[/tex]
[tex]y - 9 = \frac{5}{3}x[/tex]
Make y the subject
[tex]y = \frac{5}{3}x +9[/tex]
ULT ma
4. Write an expression, then evaluate.
a. 1/4of the sum of 18 and 6
Answer: Required expression: [tex]\dfrac14\times(18+16)[/tex]
Result: [tex]\dfrac{17}{2}[/tex]
Step-by-step explanation:
Given phrase: [tex]" \dfrac14\text{ of the sum of } 18\text{ and }6. "[/tex]
Required expression: [tex]\dfrac14\times(18+16)[/tex] ['+' used to express sum, 'x' used in place of 'of']
Since 18+16 = 34
Then,
[tex]\dfrac14\times(18+16)=\dfrac14\times34 \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}[/tex]
Hence, [tex]\dfrac14\times(18+16)=\dfrac{17}{2}.[/tex]
5x5x5x5x5x5=... plz answer
Answer: 15,625
Step-by-step explanation: 5x5x5x5x5x5= 15,625
Solve the system by substitution.
-5x+3y=2
Y=2x
Answer:
2 is the required answer.
Step-by-step explanation:
Solution:
Given:
-5x+3y=2..............(i)
Putting the value of y=2x in the equation (i); we get:
i.e -5x+3×2x=2
or, -5x+6x=2
or, x=2
i.e. x=2
y=2x=2×2=4
Help me please!! And have a good day
Plot 5 in the complex plane.
answer is there a photo or something we can see
Step-by-step explanation:
because just saying plot 5 doesn't make sense so we probably need a photo or more information
Read the problem and examine the diagram.
Of all the students in the school band, 6 play the trumpet. They represent 10% of the
total number of students in the band. How many students are in the band?
Which choice is NOT a correct way to check your answer?
A. The answer should be 10% of 6.
B. The answer multiplied by 10% should be 6.
C. 10% of the answer should be 6.
D. 6 should be 10% of the answer.
Answer:
Option A: The answer should be 10% of 6 is the correct answer.
Step-by-step explanation:
Given that:
6 students play trumpet. As they represent 10% of the total students.
Let,
x represent the number of students in the band.
10% of x = 6
By solving this, we will get the value for number of students in the band.
As x will be our answer,
The choices B, C and D are correct in the given scenario.
However,
10% of 6 cannot be the solution to the problem.
Hence,
Option A: The answer should be 10% of 6 is the correct answer.
Jim is a 60-year-old Anglo male in reasonably good health. He wants to take out a $50,000 term (that is, straight death benefit) life insurance policy until he is 65. The policy will expire on his 65th birthday. The probability of death in a given year is provided by the Vital Statistics Section of the Statistical Abstract of the United States (116th Edition).
x = age 60 61 62 63 64
P(death at this age) 0.01030 0.01357 0.01609 0.01981 0.02362
Jim is applying to Big Rock Insurance Company for his term insurance policy.
(a) What is the probability that Jim will die in his 60th year? (Round your answer to five decimal places.)
Using this probability and the $50,000 death benefit, what is the expected cost to Big Rock Insurance?
$
(b) Repeat part (a) for years 61, 62, 63, and 64.
Year Expected Cost
61 $
62 $
63 $
64 $
What would be the total expected cost to Big Rock Insurance over the years 60 through 64?
$
(c) If Big Rock Insurance wants to make a profit of $700 above the expected total cost paid out for Jim's death, how much should it charge for the policy?
$
(d) If Big Rock Insurance Company charges $5000 for the policy, how much profit does the company expect to make?
$
The probabilities are solved and:
a) The expected cost at the age 60 is $ 515.
b)
Year Expected Cost
61 $678.50
62 $804.50
63 $990.50
64 $1181
c) The policy should be priced at $4869.50.
d) The company expects to make a profit of $830.50.
Given data:
(a)
The probability that Jim will die in his 60th year is given as 0.01030.
The expected cost to Big Rock Insurance can be calculated by multiplying the probability of death at age 60 by the death benefit of $50,000:
Expected Cost at age 60 = (0.01030) * ($50,000)
Expected Cost at age 60 = $515
(b)
Expected Cost at age 61 = (0.01357) * ($50,000) = $678.50
Expected Cost at age 62 = (0.01609) * ($50,000) = $804.50
Expected Cost at age 63 = (0.01981) * ($50,000) = $990.50
Expected Cost at age 64 = (0.02362) * ($50,000) = $1181
Year Expected Cost
61 $678.50
62 $804.50
63 $990.50
64 $1181
(c)
The total expected cost to Big Rock Insurance over the years 60 through 64 can be obtained by summing up the individual expected costs:
Total Expected Cost = $515 + $678.50 + $804.50 + $990.50 + $1181 = $4169.50
To make a profit of $700 above the expected total cost, Big Rock Insurance should charge:
Policy Price = Total Expected Cost + Profit
= $4169.50 + $700
= $4869.50
Therefore, the policy should be priced at $4869.50.
(d)
If Big Rock Insurance charges $5000 for the policy, the expected profit can be calculated as:
Expected Profit = Policy Price - Total Expected Cost
= $5000 - $4169.50
= $830.50
Hence, the company expects to make a profit of $830.50.
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The probabilities are solved and
a) The expected cost at the age 60 is $ 515.
b)
Year/Age Expected Cost
61 $678.50
62 $804.50
63 $990.50
64 $1181
c) The policy should be priced at $4869.50.
d) The company expects to make a profit of $830.50.
How to compute the probability, expected cost, policy price and expected profit.(a) The probability that Jim will die in his 60th year is given as 0.01030.
The expected cost to Big Rock Insurance can be calculated by multiplying the probability of death at age 60 by the death benefit of $50,000 -
Expected Cost at age 60 = (0.01030) * ($50,000)
= $515
(b)
Expected Cost at age 61 = (0.01357) * ($50,000) = $678.50
Expected Cost at age 62 = (0.01609) * ($50,000) = $804.50
Expected Cost at age 63 = (0.01981) * ($50,000) = $990.50
Expected Cost at age 64 = (0.02362) * ($50,000) = $1181
Thus,
Year/Age Expected Cost
61 $678.50
62 $804.50
63 $990.50
64 $1181
(c)
The total expected cost to Big Rock Insurance over the years 60 through 64 can be obtained by summing up the individual expected costs:
Total Expected Cost = $515 + $678.50 + $804.50 + $990.50 + $1181
= $4169.50
To make a profit of $700 above the expected total cost, Big Rock Insurance should charge -
Policy Price = Total Expected Cost + Profit
= $4169.50 + $700
= $4869.50
Thus it is correct to state that the policy should be priced at $4869.50.
(d) If Big Rock Insurance charges $5000 for the policy, the expected profit can be calculated as:
Expected Profit = Policy Price - Total Expected Cost
= $5000 - $4169.50
= $830.50
Hence, the company expects to make a profit of $830.50.
Learn more about probability at:
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solve the literal equation
6/p=x+a for p
Write an equation for the nth term of
the arithmetic sequence:
15,28,41 ....
Answer:
The equation for the nth term of the given arithmetic sequence is: [tex]\mathbf{a_n=13n+22}[/tex]
Step-by-step explanation:
We need to write an equation for the nth term of the arithmetic sequence:
15,28,41 ....
The equation for arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]
Where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is first term and d is common difference
In the given sequence we have:
a₁ = 15
a₂ = 28
We can find common difference using the formula:
[tex]a_n=a_1+(n-1)d\\Put\: n=2, a_2=28\: and\: a_1=15\\a_2=a_1+(2-1)d\\28=15+d\\d=28-15\\d=13[/tex]
So, the common difference d is 13
Now, equation for nth term will be:
[tex]a_n=a_1+(n-1)d\\Put\:a_1=15, d=13\\a_n=15+(n-1)13\\Solving:\\a_n=15+13n-13\\a_n=13n+2[/tex]
So, the equation for the nth term of the given arithmetic sequence is: [tex]\mathbf{a_n=13n+22}[/tex]
where n=1,2,3..
Write an algebraic expression for
the verbal expression:
"5 times the sum of a squared and
b minus 3 times the sum of
a and b".
Answer:
"5 times the sum of a squared and b minus 3 times the sum of
a and b".
5(a²+b) - 5(a+b)which can be simplified such as:
[tex]5\left(a^2+b\right)-5\left(a+b\right)=5a^2-5a[/tex]
Step-by-step explanation:
Given the verbal expression
"5 times the sum of a squared and b minus 3 times the sum of
a and b".
BREAKIN DOWN THE STATEMENT:
The sum of 'a' Squared and 'b' = a²+b
5 times the sum of a squared and b = 5(a²+b)The sum of a and b = a+b
3 times the sum of a and b = 5(a+b)Now, "5 times the sum of a squared and b minus 3 times the sum of
a and b".
5(a²+b) - 5(a+b)Let us simplify the algebraic expression
[tex]5\left(a^2+b\right)-5\left(a+b\right)[/tex]
[tex]=5a^2+5b-5a-5b[/tex]
simplify
[tex]=5a^2-5a[/tex]
Thus,
[tex]5\left(a^2+b\right)-5\left(a+b\right)=5a^2-5a[/tex]
A homeowner is mixing vinegar with water to dissolve calcium deposits
around a bathroom sink. The original formula calls for 10 ounces of vinegar
mixed with 30 ounces of water. The homeowner wants to make a stronger
mixture by adding more vinegar (variable v). Which equation will show
"total water / total vinegar"
30/(10 + v)
(30 + v) / 10
(30 + v) / (10 + v)
30/10
Answer:
get good buddy
Step-by-step explanation:
Answer:
30/(10 + v)
Step-by-step explanation:
The original formula calls for 30 ounces of water and 10 ounces of vinegar. To make it stronger they are only adding an unknown amount of vinegar (v).
PLEASE I NEED THIS ANSWER AND IM OUT OF SCHOOL FOR THE WEEKEND
Answer:
11
Step-by-step explanation:
A triangle has 180 degrees, and two of them are given, so you subtract them from 180 to 110. But since it is 10x, you have to divide by 10 to get your answer.
(hope this helps!)
a telephone pole casts a 10 food shadow. A horse that stands 5.5 feet tall casts a 2.5 foot shadow. How tall is the pole?
Answer:
72
i think i remember doing this
Question 10
2 points
Save Answer
Donald, owner of Dallas Company, begin accounting for bad debts expense. Assume that Dallas Company has total revenues of $79,000 during 2019 and the Accounts Receivable balance on
December 31 2019. is $42.000
Assume that Dallas Company has one account receivable of $4,850 determined to be uncollectable, what journal entry is made to write of the uncollectable account?
Answer:
Allowance for doubtful account Dr 4850 , To Account receivable Cr 4850
Step-by-step explanation:
Journal Entry Debit Credit
Allowance for doubtful account $4850
To Account receivable $4850
A debit to the allowance for doubtful accounts is to reduce the allowance balance that was previously established and a credit to the accounts receivable is to remove the amount that will not be collected.
pls help!
15 boxes of apples weighs 840 pounds. If the weight of the apples is proportional to the number of boxes then how many pounds does 28 boxes weigh?
Answer:
4,704 pounds
Step-by-step explanation:
make a ratio
boxes of apples:pounds
15:840
28:x
cross multiply:
15x = 23520
x = 4,704
hope this helps!
15y + (x + 9y) = ? someone halp
Answer:
x = -24ySimplifying
15y + (x + 9y) = 0
Remove parenthesis around (x + 9y)
15y + x + 9y = 0
Reorder the terms:
x + 15y + 9y = 0
Combine like terms: 15y + 9y = 24y
x + 24y = 0
Solving
x + 24y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-24y' to each side of the equation.
x + 24y + -24y = 0 + -24y
Combine like terms: 24y + -24y = 0
x + 0 = 0 + -24y
x = 0 + -24y
Remove the zero:
x = -24y
Simplifying
x = -24y
Step-by-step explanation:
1. Hannah added 5 marbles to her bag of marbles as shown in the model below.Create an equation using the model shown ( remember to use a variable for the unknown quantity). Explain the first step needed in order to solve your equation. How many marbles (m) did Hannah originally have in her bag?
Answer: Poop man
Step-by-step explanation: You throw your poop
How many buttons are there in a Fionas Fashion shirt , and how many buttons are there in a jacket ?
Answer:
842
Step-by-step explanation:
Fiona's Fashion Store is world renowned for its buttoned uniforms. A collection of 36 shirts and 42 jackets contains 842 buttons. Additionally, a collection of 6 shirts and 7 jackets contains 137 buttons.
Let f(x) = 5x +1.
Find f(2)
Answer:
f(2) =11
Step-by-step explanation:
Explanation:-
Given the function f(x) = 5x+1
Put x = 2
f(2) = 5(2)+1
⇒ f(2) = 10 +1
⇒ f(2) =11
Hi everyone! I have a question!
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations.) THANKS!!!!!!
Answer:
7π
Step-by-step explanation:
SO first find the area of the whole circle
which has a radius of 3
a=πr^2
So 3^2=9
9π
Now the two circles which are the same in area due to having the same radius
so if you plug in the 1 for radius the answer would just be π or 1π
now multiply that by 2 becuase there are 2 identical circles
π*2=2π
Now subtract
9π-2π=7π
Answer:
Step-by-step explanation:
area of unshaded circle:
A=π*r^2=π*1=π
we have 2 circles so the area of both circles are 2π
area of the large circle is A(l)=Π*3^2=Π*9=9Π
area of the shaded region: A(s)=9Π-2Π=7Π
Write the expression with fewer terms.
10−2
Answer:
8
Step-by-step explanation:
（10-2 is 8)
Hope this helps!
Find the solution to each number sentence below:
(1) - 10 + 15 = _______
(2) 28 + (-29) = _______
(3) -40.5 + (-0.5) = ______
(4) 50 - (- 5) = ______ (5) 100 - 255 = ______
(Hint: take away a negative means adding the opposite)
Answer:
1. 5
2. -1
3.-41
4. 55
5.-155
Step-by-step explanation:
Answer:
1) 5
2) -1
3) - 41
4) 55
5) -155
x is 4 more than
thrice of y
Answer:
x is 4 more than thrice of y[tex] \huge \boxed{x = 3y + 4}[/tex]
You have the same bowl, with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. You take out an orange candy
from the bowl. What is the new probability that you will draw another orange candy?
А 1/5
B 1/6
С 1/8
D 5/24
Answer:
A. 1/5
Step-by-step explanation:
The chances of drawing another orange would be 20%. And since means 1/5 in fraction form, A. is the answer.
is a spray bottle a gallon pint quart or cup
Answer:
most bottles are
about 2 pints
Step-by-step explanation:
Plz mark brainliest!
Answer:
I depends on the size a big can have 2 cups ,a medium can have 1 cup and the small has 2 pints
Step-by-step explanation:
HELP ASAP Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)?
Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Answer:
The last one: Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Step-by-step explanation:
To get to (-3 1/2, -2), you would have to go left 3 1/2 units, and down 2 units.
Express 2700 as a product of prime numbers.
Answer:
9669
Step-by-step explanation:
69
In ΔFGH, f = 83 inches, g = 11 inches and ∠H=60°. Find the length of h, to the nearest inch.
Answer: 78
Step-by-step explanation:
The length of h to the nearest inch is 78 inches.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given that, In ΔFGH,
f = 83 inches, g = 11 inches and ∠H = 60°.
Using the law of cosines,
h² = f² + g² - 2fg cos(H)
Substituting,
h² = 83² + 11² - (2 × 83 × 11) cos (60°)
= 7010 - (1826 × 1/2)
= 7010 - 913
= 6097
h = √6097 = 78.083 inches ≈ 78 inches
Hence the length of h is 78 inches.
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Find the slope of the linear function.
12x = -10 + 2y
Slope =
Blank 1: