Answer:
410.4
136.8
Step-by-step explanation:
Because the post office processes 45.6 letters every hour and is open 9 days an hour, it processes 45.6*9, or 410.4 letters per day. Because it is open on Christmas for 3 hours more than normal days(12-9), it produces 45.6*3, or 136.8 more letters on Christmas.
Hope it helps <3
Answer:
A. 410.4 letters
B. 136.8 more letters
Step-by-step explanation:
1.
We know that the post office processes 45.6 letters per hour. If we want to know how many letters they process in 9 hours, we can multiply 45.6 and 9.
45.6 * 9
Multiply
410.4
The post office can process 410.4 letters in 9 hours, therefore A is correct.
2.
The post office still process 45.6 letters per hour, but they are open for 12 hours. First, multiply 12 and 45.6.
12 * 45.6
547.2
We are asked to find how many more letters they can process. We need to find the difference between the letters they normally process and the letters they process on Christmas.
Christmas - normal
They process 547.2 on Christmas and 410.4 normally.
547.2 - 410.4
136.8
They process 136.8 more letters on Christmas. Therefore, choice B is correct. Thank
Find f o g and g o f to determine if f and g are inverse functions. If they are not inverses, pick the function that would be the inverse with f(x). F(x) = -4x + 1; g(x) = (x+1)/4 Choices: a. G(x) has to be: (1-x)/4 b. Inverses c. G(x) has to be: 1/(4 - x) d. G(x) has to be: x/4
Answer:
G(x) = (1 - x)/4
is the inverse function required.
Step-by-step explanation:
Given F(x) = -4x + 1
Let y = F(x)
Then y = -4x + 1
=> y - 1 = -4x
4x = 1 - y
x = (1 - y)/4
That is, the inverse is (1 - x)/4
Therefore, G(x) has to be (1 - x)/4
multiply c^2(c^2-10c+25)
Step-by-step explanation:
c^2( c^2-10c+25)
=c^4 - 10c^3 + 25c^2
The length of a rectangle is 6cm and its width is 4cm. Find the perimeter
Answer: 20cm
Step-by-step explanation:
The perimeter of a rectangle can be calculated as 2(l+w)
2(6+4)
2(10)
20
Hope it helps, and if you want more info on perimeter, just ask <3
Answer:
20 cm
Step-by-step explanation:
Use folmula P=2(l+w)
Calculate NL if a=25, b=27.73, and c=12
Answer:
NL=10.82
Step-by-step explanation:
Start by finding the area of the triangle. We do this by using c as the base.
1/2bh=1/2(12)(25)=150
Now that we know the area is 150, we turn the triangle so b is the base and use the formula again. This time we’re looking for the height, which is NL.
1/2bh=
1/2(27.73)h=150
13.865h=150
h=10.8186
Rounded to the nearest hundredth, it’s NL=10.82
When results from a scholastic assessment test are with their scores are also given. Suppose a test-taker scored at the 78th percentile for their verbal sent to test-takers, the percentiles associated 26) grade and at the 34th percentile for their quantitative grade. Interpret these results.
A) This student performed better than 22% of the other test-takers in the verbal part and better
B) This student performed better than 78% of the other test-takers in the verbal part and better
C) This student performed better than 22% of the other test-takers in the verbal part and better
D) This student performed better than 78% of the other test-takers in the verbal part and better than 66% in the quantitative part. than 34% in the quantitative part.
Answer:
B) This student performed better than 78% of the other test-takers in the verbal part and better than 34% in the quantitative part.
Step-by-step explanation:
In Statistics, Percentile refers to how specific variables can be divided according to the distribution of values in a population of 100 equal groups.
The data value of a given percentile can be determined as 100 times the cumulative relative frequency of that value.
From the given question.
Suppose a test-taker scored at the 78th percentile for their verbal sent to test-takers, the percentiles associated grade and at the 34th percentile for their quantitative grade.
This implies that ;
The student score shows the relation between a particular score of :
78% and the scores of the rest of a group for the verbal test takers &
34% and the scores of the rest of a group for the quantitative test takers.
Therefore; we can conclude that ;
This student performed better than 78% of the other test-takers in the verbal part and better than 34% in the quantitative part.
(Sorry for the spam, making sure these are right) One zero of the polynomial function f(x)=x^3-9x^2+20x is x=0. What are the polynomial function? Choices:
Replace f(x) with 0 and solve for x. We do this because the x intercepts always occur when y = 0. Keep in mind that y = f(x).
f(x)=x^3-9x^2+20x
0=x^3-9x^2+20x
x^3-9x^2+20x = 0
x(x^2-9x+20) = 0 .... factor out GCF x
x(x-5)(x-4) = 0 ... factor the stuff inside
x = 0 or x-5 = 0 or x-4 = 0 ... zero product property
x = 0 or x = 5 or x = 4
The roots or zeros are 0, 5, 4Answer: Choice DWhat the answer now fast
Answer:
t=11.6
Step-by-step explanation:
sin 43=opp/hyp
sin 43=t/17
t= sin43*17
t=11.6
NEED HELP ASAP!! IF YOU KNOW HOW TO DO IT GO AHEAD BUT IF YOU DONT, DONT ANSWER
Answer:
the second one.its a parallelogram
PLEASE HELP MEE I need help finding x a b and c
Answer:
Step-by-step explanation:
Because of the Isosceles Triangle Theorem, both the base angles of that triangle measure a. We also know that a + b = 180 because of the definition of supplementary angles. So we have 2 equations from that info. First is the fact that
a + 7x = 180 and the second is
2x + a + a = 180 because of the Triangle Angle-Sum Theorem. If the left side of the first equation = 180 and the left side of the second equation also = 180, then by the transitive property of equality,
a + 7x = 2x + a + a and
a + 7x = 2x + 2a and
5x = a. Now that we know that a = 5x, we go back to our triangle and fill in 5x as a:
5x + 5x + 2x = 180 (the Triangle Angle-sum Theorem again) and
12x = 180 so
x = 15. If x = 15, then
a = 5(15) = 75,
b = 7(15) = 105, and
c = 2(15) = 30
Making Purchasing decision.
Q1) A restaurant meal usually cost Nu 80. A special rate of Nu 60 is offered for lunch on Thursday only. Calculate the percent discount.
Answer:
25%
Step-by-step explanation:
Given that a restaurant meal usually cost Nu 80 but on Thursdays it cost Nu 80.
To determine the discount, we have to find the ratio between the difference between the usual cost and the cost on Thursday to the usual cost of meals. It is given by:
Percent discount = (Usual cost - Cost of meal on Thursday)/ Usual cost × 100%
Percent discount = (80 - 60) / 80 × 100% = 20 / 80 × 100%
Percent discount = 25%
two regular polygons are such that the ratio of the measures of their interior angles is 4:3 and the ratio between their number of sides is 2:1 find the number of sides of each polygon
hey mate, here is ur answer in the attachment!
What is the answer now in two minutes
Answer:
sqrt(6)
Step-by-step explanation:
In a 45-45-90 right triangle, the ratio of the lengths of the sides is
1 : 1 : sqrt(2)
u = sqrt(3) * sqrt(2) = sqrt(6)
Answer:
√6 meters
Step-by-step explanation: In a 45° right triangle, the two sides of the 90° angle are equal. a^2+b^2=c^2
2(√3)^2 = 6
√c^2 = √6.
which of the binomials below is a factor of this trinomial? x^2 + 5x - 36 A. x - 5 B. x - 9 C. x + 9 D. x^2 + 5
===============================================
Explanation:
Think of two numbers that multiply to -36 and also add to 5. Put another way: think of two factors of -36 that add to 5.
Those two numbers are 9 and -4 since
9 times -4 = -36
9 plus -4 = 5
So we have x^2 + 5x - 36 factor into (x+9)(x-4)
x+9 is one factor
x-4 is the other factor
-------
Alternatively, you can use a graphing tool to locate the x intercepts, and that will in turn lead to the factorization. Or you could use the quadratic formula to get the job done. Completing the square is yet another tool to use. So there are multiple approaches.
If an object is propelled upward from a height of 72 feet at an initial velocity of 90 feet per second, then its height h after t seconds is given by the equation h = − 16 t 2 + 90 t + 72 . After how many seconds does the object hit the ground?
Answer:
6.34 seconds.
Step-by-step explanation:
The object will hit the ground when h = 0.
-16t^2 + 90t + 72 = 0
8t^2 - 45t - 36 = 0
We can then use the quadratic formula to solve.
[please ignore the A-hat; that is a bug]
[tex]\frac{45±\sqrt{45^2 - 4 * 8 * -36} }{2 * 8}[/tex]
= [tex]\frac{45±\sqrt{2025 + 1152} }{16}[/tex]
= [tex]\frac{45±\sqrt{3177} }{16}[/tex]
= [tex]\frac{45±56.36488268}{16}[/tex]
(45 - 56.36488268) / 16 = -0.7103051678
(45 + 56.36488268) / 16 = 6.335305168
Since the time cannot be negative, the object will hit the ground after about 6.34 seconds.
Hope this helps!
Please answer this in two minutes
Answer:
k = 4Step-by-step explanation:
It is half of equilateral triangle where 2√3 is its hight so:
[tex]2\sqrt3=\frac{k\sqrt3}2\\\\4\sqrt3=k\sqrt3\\\\k=4[/tex]
A regular admission for a movie is k8 per ticket seniors only pay k6 per ticket if the revenue for a movie totaled k1440 for an audience of 190 how many seniors attended?
Answer:
Step-by-step explanation: wjbsgstexrczlkcidgxtftwdcwdkfmw,d,f
Mr. Duncan bought a table at a discount if 30% thus saving $42. what was the marked price of the table?
Answer:
$140
Step-by-step explanation:
if 30% of full price = $42 then 100% = 42/0.3 = 140
Answer:
$140
Step-by-step explanation:
1. Set up the equation
[tex]\frac{42}{x}[/tex] = [tex]\frac{30}{100}[/tex]
Percentage is out of 100 this equation says 42 of x number is equal to 30%.
2. Cross multiply
30x = 4200
3. Solve for x by dividing both sides by 30
x = 140
Instructions: Find the measure of the indicated angle to the
nearest degree
Answer:
The answer is
31°Step-by-step explanation:
Let the unknown angle be x
To find x we use cosine
cos∅ = adjacent / hypotenuse
From the question
The hypotenuse is 56
The adjacent is 48
So we have
cos x = 48/56
cos x = 6/7
x = cos-¹ 6/7
x = 31.003
x = 31° to the nearest degree
Hope this helps you
a sector with a radius of 12cm has an area of 60pi cm what is the central angle in radians
Answer:
5/6π.
Step-by-step explanation:
The following data were obtained from the question:
Radius (r) = 12 cm
Area (A) = 60π cm²
Centre angle in radian (∅) =...?
Since we are to look for the centre angle in radian, the area of the sector will be given by:
A = ½r²∅
Inputting the values of the area, A and radius, r, the centre angle, ∅ can be obtained as follow:
A = ½r²∅
60π = ½ × 12² × ∅
60π = ½ × 144 × ∅
60π = 72 × ∅
Divide both side by 72
∅ = 60π/72
∅ = 5/6π
Therefore, the centre angle measured in radian is 5/6π.
Campus rentals rent 2 and 3 bedroom apartments for 700$ and 900$ a month respectively. Last month they had six vacant apartments and reported $4600 in lost rent. How many of each type of apartment were vacant?
Answer:
2 - bedroom apartment = 4
3 - bedroom apartment = 2
Step-by-step explanation:
Given the following :
2 - bedroom apartment = $700 / month
3 - bedroom apartment = $900 / month
Last month:
Number of vacant apartment = 6
Amount of Lost rent = $4600
Let a = 2 - bedroom apartment and b = 3 - bedroom apartment
Vacant apartment :
a + b = 6 - - - (1)
Lost rent :
700a + 900b = 4600 - - - (2)
From (1),, a = 6 - b
Substitute a = 6 - b into (2)
700(6 - b) + 900b = 4600
4200 - 700b + 900b = 4600
4200 + 200b = 4600
200b = 4600 - 4200
200b = 400
b = 400/200
b = 2
From (1) ;
a + b = 6
a + 2 = 6
a = 6 - 2
a = 4
a = 2 - bedroom apartment = 4
b = 3 - bedroom apartment = 2
in a certain game, points you win are positive numbers and points you lose are negative numbers. What is the value of the series plays: win 8, lose 7, will 11, lose 2?
a -15
B -4
C 4
d 12
Answer:
4
Step-by-step explanation
+8 + (-7) + (+11) + (-2)= 4
The value of the series plays is 10.
--------------------------
In this question, we have to find the total amount of points, considering the number of points on each series.
Win 8: Add 8 points.Lose 7: Subtract 7 points.Win 11: Add 11 points.Lose 2: Subtract 2 points.--------------------------
The total is:
[tex]T = 8 - 7 + 11 - 2 = 1 + 9 = 10[/tex]
10 points.
A similar question is given at https://brainly.com/question/14350453
plzzzz answer right away will mark BRAINLIST AND FIVE STARS PLUS THANKS What is the constant of proportionality in the equation y = StartFraction x over 9 EndFraction? 0 StartFraction 1 over 9 EndFraction StartFraction 8 over 9 EndFraction 1
Answer:
Proportionality Constant = k = [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Equation is:
[tex]y = \frac{x}{9}[/tex]
=> [tex]y = (\frac{1}{9} ) x[/tex]
Comparing it with [tex]y = kx[/tex], where k is the proportionality constant, We get:
Proportionality Constant = k = [tex]\frac{1}{9}[/tex]
Answer:
[tex]{\sf \frac{1}{9}}[/tex]
Step-by-step explanation:
y and x are the directly proportional quantities.
[tex]\sf y=kx[/tex]
The constant of proportionality is k.
The equation is:
[tex]\sf y=\frac{x}{9}[/tex]
[tex]\sf y=\frac{1}{9} x[/tex]
The value of k in this equation is:
[tex]\sf k= \frac{1}{9}[/tex]
Need Help ASAP!!!! thanks
Answer: 35 m3
Step-by-step explanation:
Hi, to answer this question, first we have to calculate the base of the pyramid:
Base area = 1/2x base length x height
Base area = 1/2 x 6 x 5 = 15 m2
Volume of a pyramid = 1/3 x base area x height
Replacing with the values given:
V = 1/3 x 15 x 7 = 35 m3
Feel free to ask for more if needed or if you did not understand something.
ANY JESUS HELPERS PLEASE HELP The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below: Step 1: 2(y + 4) = 4y Step 2: 2y + 6 = 4y Step 3: 2y = 6 Step 4: y = 3 Which of the following explains how to correct Step 2 and shows the correct value of y? The equation should be y + 4 = 4y after division by 2; y = 5 The equation should be y + 4 = 4y after division by 2; y = 2 2 should be distributed as 2y + 8; y = 4 2 should be distributed as 2y + 8; y = 2
Answer:
2 should be distributed as 2y + 8; y = 4
Step-by-step explanation:
2(y + 4) = 4y
Distribute
2y + 8 = 4y
Step 2 is incorrect because the added instead of multiplied
Continuing on to correct the problem
Subtract 2y from each side
2y+8-2y = 4y-2y
8 = 2y
Divide by 2
8/2 = 2y/2
4 =y
Answer:
2 should be distributed as 2y + 8; y = 4
Step-by-step explanation:
Step 2 is wrong.
2(y + 4) = 4y
The step to solve is to expand brackets or distribute 2, not divide both sides by 2.
2y + 8 = 4y
Subtract both sides by 2y.
8 = 2y
Divide both sides by 2.
4 = y
A right prism has a base in the shape of an octagon. The side length of the octagon is 4 inches. The length of the apothem is 4.83 inches. The height of the prism is 12 inches. What is the volume of the prism? Round your answer to the nearest whole number. cubic inches
Answer:
927 cubic inches
Step-by-step explanation:
The area of the octagonal base is ...
A = (1/2)Pa
where P is the perimeter, and 'a' is the apothem. Using the given numbers, the base area is ...
A = (1/2)(8·4)(4.83) = 77.28 . . . square inches
The volume of the prism is given by ...
V = Bh
where B represents the area of the base, and h is the height.
V = (77.28 in^2)(12 in) = 927.36 in^3
The volume of the prism is about 927 cubic inches.
the answer on edg is 927
1/6.43 +2/3.56 +1/8.51 use reciprocal table.Correct answer only
Answer:
0.8348Step-by-step explanation:
Given the expression 1/6.43 +2/3.56 +1/8.51, If 'a' is a number, the reciprocal of such number is 1/a. According to the question, the reciprocal of 6.43, 3.56 and 8.51 are 1/6.43 and 1/3.56 and 1/8.51 respectively.
1/6.43 = 0.1555
2/3.56 = 2 * 1/3.56
= 2 * 0.2809
= 0.5618
1/8.51 = 0.1175
Taking the sum of the reciprocals;
1/6.43 +2/3.56 +1/8.51 = 0.1555 + 0.5618 + 0.1175
1/6.43 +2/3.56 +1/8.51 = 0.8348
Hence, the sum of 1/6.43, 2/3.56 and 1/8.51 is 0.8348
Find the greatest number of children to whom 125 pens 175 pencil can be divided equally.
Answer:
25 children
So , each child will get 25 pens and 7 pencils
You have to find the highest common factor of 125 and 175 which is 25 and then you have to multiply it by those two numbers to find how may pens and pencils will be given to 1 child
Hope this helps and pls mark as brianliest :)
which line segment could be a midsegment of ∆abc
Answer:
[tex]\overline{DF}[/tex] could be a midsegment of ∠ABC.
Step-by-step explanation:
A midsegment of a triangle must be two things:
1. Parallel to the 3rd side, in this case, [tex]\overline{AD}[/tex].
2. Half the length of the 3rd side, in this case, [tex]\overline{AD}[/tex].
Since we don't know the lengths, we can only go off of 1. There is only one line that is parallel to [tex]\overline{AD}[/tex] and it is [tex]\overline{DF}[/tex].
Hope this helped!
Find the largest integer which belongs to the following interval: (−∞; 31]
Answer:
The largest integer that belongs to the interval (-∞, 31] is 31
Step-by-step explanation:
The given interval is (-∞, 31], from which the round bracket indicates that the number next to the bracket is not included in the inequality while the square [] (closed) bracket indicates that the number next to the bracket is included in the inequality
Therefore, 31 is inclusive in the inequality while -∞ is excluded.
The find the largest integer that belongs to the interval (-∞, 31] the numbers are arranged on the number line as follows
The numbers presented in number line form -∞, .....-1, 0, 1, 2,..., 31
Giving 31 as the largest integer in the inequality
Need help please can you answer it how the question is telling you
Answer:
243 m³
Step-by-step explanation:
The volume of a rectangular pyramid is given by:
[tex]V = \frac13lwh[/tex]
Where
l = length = 9m
w = width = 9m
h = height = 9m
so the volume is 1/3*9*9*9 = 243 m³
Answer:
243
Step-by-step explanation:
The formula for the volume of a square-based pyramid is
[tex]V=\frac{lwh}{3}[/tex]
[tex]l[/tex] = length
[tex]w[/tex] = width
[tex]h[/tex] = height
[tex]V=\frac{9 \times 9 \times 9}{3}[/tex]
[tex]V=\frac{729}{3}[/tex]
[tex]V=243[/tex]
The area is 243 cubic meters.