For number of bags, divide total area by the area 1 bag can cover.
480 / 12 = 40 total bags.
Now for total weight, multiple total bags by weight per bag:
40 bags x 40 pounds = 1,600 total pounds.
A = 40 bags
B = 1,600 pounds
A lab technician is dividing a cell that has a diameter of 4.32×10−4 4 . 32 × 10 - 4 millimeters. Each of the new cells has a diameter measuring exactly one half of the diameter of the original cell. Which is the diameter of a new cel
Answer:
Bottom right option
Step-by-step explanation:
To find this, we can calculate:
1/2 * 4.32 * 10⁻⁴
= (1/2 * 4.32) * 10⁻⁴
= 2.16 * 10⁻⁴
The diameter of a new cell is 2.16×10−⁴millimeters
First step is to calculate 4.32×10−⁴ to the original numbers
4.32×10−⁴ =0.000432
Second step is to determine the diameter of a new cell
New cell diameter=0.000432×1/2
New cell diameter=0.000216
New cell diameter=2.16×10−⁴millimeters
Inconclusion The diameter of a new cell is 2.16×10−⁴millimeters
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I would like to have some help please! ❤ thank youu I need help on the 2 question that is "write three expressions containing exponentz so that each expression equals 81."
Answer:
Below
Step-by-step explanation:
Notice that 81 = 9 * 9
So here is the first expression:
● 9^2
9 is 3^2 so 9^2 is 3^4
That's another expression
● 3^4
81 = 9*9 = 3*3*3*3 = 3^3 *3
That's another expression
● 3*3^3
You can keep manipulating the product and create many expressions like:
● 3^2 * 3^2
● 9 * 3^2
a grandfather purchased a brand new car in 1958 for $2500.the car depreciated $325 a year. what would the car be worth 4 years after it was bought?
Answer:
$1200
Step-by-step explanation:
Since the value of the car depreciates $325 a year.
After 4 years it would be 1300, becuase $325 × 4 = $1300.
So, $2500 - $1300 = $1200
3 to the power of 5 equals 243. Explain how to use that fact to quicky evaluate 3 to the power of 6.
Answer:
3^6 = 729
Step-by-step explanation:
3 to the power of 5 equals 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Symbolically, we have:
3^5 = 243 (given)
Multiplying both sides by 3, we get:
3^6 = 3(243)
If you want to take this further, multiply 3(243): 3^6 = 729
The value of [tex]3^6[/tex] is 729.
Important information:
[tex]3^5=243[/tex]Exponents:We need to find the value of [tex]3^6[/tex].
Using the rules of exponents, we get
[tex]3^6=3^{5+1}[/tex]
[tex]3^6=3^{5}*3^{1}[/tex] [tex][\because a^{m+n}=a^ma^n][/tex]
[tex]3^6=243*3[/tex]
[tex]3^6=729[/tex]
Therefore, the value of [tex]3^6[/tex] is 729.
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A car dealer just took delivery on forty new cars. He plans to put four of these cars on display at the front of the lot. In how many ways can the dealer combine four of the forty cars if order is not important? A.1,096,680 B.45,695 C.91,390 D.2,193,360
Answer:
B
Step-by-step explanation:
8. Mark chose a number between 0.437 and 0.436 and multiplied it by 4. Then, he
subtracted 20 from this product. Next, he took three-fourths of this difference and got y.
Finally, he took the original number, added twelve to it, tripled it, and subtracted it from y.
What was his final answer?
A. -56
B. -51
C. 16
D. 21
E. Not enough information
Answer:
y=¾(4x-20)
y=3x-15
Final answer= y - 3(x+12)
=y - 3x-36
=3x-15-3x-36
= -51
Answer:
The answer is -51
Step-by-step explanation:
Which expression can be used to find the surface area of the following triangular prism? *picture of a triangular prism* Choose 1 answer: (Choice A) 24+24+ 120+160+20024+24+120+160+20024, plus, 24, plus, 120, plus, 160, plus, 200 (Choice B) 24+20024+20024, plus, 200 (Choice C) 24+24+200+120+12024+24+200+120+12024, plus, 24, plus, 200, plus, 120, plus, 120 (Choice D) 48+48+120+160+20048+48+120+160+200
Answer:
A. 24+24+120+160+200
Step-by-step explanation:
Surface area of the triangular prism= addition of the area of each shape that forms the prism
There are two triangles
Area of a triangle=1/2*base*height
=1/2*8*6
=1/2*48
=24
Area of two triangles=24+24
There are 3 rectangles with different dimensions
Back rectangle=length×width
=20×6
=120
Bottom rectangle=length ×width
=20x8
=160
Top rectangle=length × width
=20×10
=200
Surface area =Area of two triangles + Back rectangle + Bottom rectangle + Top rectangle
=24+24+120+160+200
Find the area of the ACTUAL gym
Step-by-step explanation:
The three main types of exercise are cardiovascular exercise, strength training and stretching. All three types of exercise are important for physical fitness. Cardiovascular aerobic exercise is repetitive, rhythmic exercise that increases your heart rate and requires you to use more oxygen.
Answer:
6.67
Step-by-step explanation:
PLEASE HELP FOR FINAL!! H(x)= -|x+1| + 3
Answer:
H(2)= 0 , so x = 2 is the correct answer
Step-by-step explanation:
Given:
H(x)= -|x+1| + 3
Computation:
By putting x = 0,1,2
H(x)= -|x+1| + 3
H(0)= -|0+1| + 3
H(0)= -1 + 3
H(0)= 2
H(x)= -|x+1| + 3
H(1)= -|1+1| + 3
H(1)= -2 + 3
H(1)= 1
H(x)= -|x+1| + 3
H(2)= -|2+1| + 3
H(2)= -3 + 3
H(2)= 0
Circles
1. RS and ST are tangent lines. Find the value of x.
R
9x - 30
c.
S
3x
T
Answer:
x = 15
Step-by-step explanation:
9x-30 = 3x (tangent lines are congruent)
- move the variables to one side
9x-3x=30
6x=30
x=5
--------------
9(5)-30=3(15)
45-30=15
15=15
Done!
1. Association Suppose you were to collect data for each pair of
variables. You want to make a scatterplot. Which variable would
you use as the explanatory variable and which as the response
variable? Why? What would you expect to see in the scatter-
plot? Discuss the likely direction, form, and strength.
a) Apples: weight in grams, weight in ounces
b) For each week: ice cream cone sales, air-conditioner sales
c) College freshmen: shoe size, grade point average
d) Gasoline: number of miles you drove since filling up, gallons
remaining in your tank
Tyler needs to get the windows in his new home cleaned. The cleaning company needs to know the total number of window panes before it can tell him how much the job will cost. There are 12 windows, each with four window panes across and four window panes down. Tyler can find the total number of window panes by multiplying the number of windows by the number of panes in each window. The total number of window panes is an expression with a whole-number exponent. Write an expression with exponents to find the total number of panes in 12 windows.
Answer:
I believe it's (4^2)*12
Step-by-step explanation:
To find the correct amount of the window panes there are, we have to find how much window pains are in each of the window's. So we have a 4 by 4 so that's 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes
Hope this helps! ∪ω∪
in the figure above, pqrs is a parallelogram. What is the value of x?
Answer:
x = 162 degrees.
Step-by-step explanation:
m < RSP = 180 - 72
= 106 degrees (adjacent angles)
m < Q = m < RSP ( Opposite angles in a parallelogram are equal).
So m < Q = 180 degrees.
m < x = 360 - 90 - 108
= 360 - 198
= 162 degrees.
Using the appropriate angle theorems, the value of the angle, x in the parallelogram would be 162°
At angle S :
S + 72 = 180 (sum of straight line angles)
S = 180° - 72°
S = 108°
S = Q (opposite angles of a parallelogram)
Q = 108°
Hence,
Q + x + right angle = 360° (sum of angles at a point)108° + x + 90 = 360
x = 360 - (108 + 90)
x = 162°
Hence, the value of x is 162°
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A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. When comparing the shape of the two sets of data, what conclusion can someone draw? The students tend to have fewer siblings than the teachers. The teachers tend to have fewer siblings than the students. Both the students and the teachers have a wide range of siblings. Both sets of data have the same shape. the answer is- a. The students tend to have fewer siblings than the teachers.
Answer:
A. The students tend to have fewer siblings than the teachers.
Step-by-step explanation:
First we need to draw the dot plots correctly. If you count both sides they have 20 each.
Now, clearly none have fewer nobody here yet has more or less but going on to the next step.
Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14. And so on.
On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.
So the answer is A. The students tend to have fewer siblings than the teachers.
Answer:
The sum is A
Step-by-step explanation:
Just ma duty to help the community
Using the function f(x)=-x^2+8x-13 find f(4)
Answer:
f(4) = 3
Step-by-step explanation:
f(x) = -[tex]x^{2}[/tex] + 8x - 13
To find f(4), substitute 4 for all instances of x:
f(4) = -(4[tex])^{2}[/tex] + 8(4) - 13
Simplify the exponent:
f(4) = -16 + 8(4) - 13
Multiply:
f(4) = -16 + 32 - 13
Combine terms:
f(4) = 3
Answer:
3
Step-by-step explanation:
You plug in 4.
f(4)= -(4)^2+8(4)-13
f(4)= -16+32-13
f(4)= 16-13
f(4)=3
The ratio of boys to girls in the ninth grade is 7 to 9. there are 218 girls set up a proportion to model this information
Answer:
24.2
Step-by-step explanation:
Please help me on this question
Answer:
DE = 13.4 cm (to 1 decimal place)
Step-by-step explanation:
Given: ABCD is a square
BC = AC = 12 cm (opposite sides of a square are congruent)
E is midpoint of BC (given)
BE = EC = 12/2 = 6 cm
CD = AB = 12 cm (opposite sides of a square are congruent)
angle ECD is a right angle (interior angles of a square are 90 deg.)
Consider right triangle ECD
DE = sqrt(EC^2+CD^2) ............. pythagorean theorem
= sqrt(6^2+12^2)
= sqrt ( 36+144 )
= sqrt (180)
= 2 sqrt(45)
= 13.416 (to three dec. places)
Round 18.049 to the nearest tenth.
Answer:
18.0
Step-by-step explanation:
Note the tenth place value (underlined and bolded): 18.049
Look at the number to the direct right of the tenth place value (or the hundredth place value in this case). It is a 4.
Note the rules of rounding. If the number:
1) is 5 or greater, round up.
2) is 4 or less, round down.
In this case, it is 4, so you will round down.
18.049 rounded to the nearest tenth is 18.0
~
Answer:
18.0
Step-by-step explanation:
first time i put 18 and it was wrong so
complete the table of values for y=-x^2+2x+1
Answer:
-1=-2
4=-7
Step-by-step explanation:
for x=-1
y=(-1^2)+(2*-1)+1
y=-1-2+1
y=-2
for x=1
y= (-1^2)+(2*1)+1
y= -1+2+1
y=2
for x=4
y=(-4^2)+(2*4)+1
y=-16+8+1
y=-7
Calculate the area of the circle to the nearest hundredth of a square unit. Approximate as 3.14. a. 124.63 cm 2 b. 124.6 cm 2 c. 39.56 cm 2 d.19.78 cm 2
Answer:
[tex]124.63[/tex]
Step-by-step explanation:
[tex]a = \pi \times r {}^{2} = \pi \times (6.3) {}^{2} = \pi \times 39.69[/tex]
[tex]\pi \times 39.6 = 3.14 \times 39.69 = 124.63[/tex]
Hope this helps ;) ❤️❤️❤️
The area of circle will be;
⇒ 124.63 cm²
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The radius of circle = 6.3 cm
Now,
Since, The radius of circle = 6.3 cm
We know that;
Area of circle = π r²
Hence, We get;
⇒ Area of circle = 3.14 × 6.3²
= 3.14 × 39.69
= 124.63 cm²
Thus, The area of circle will be;
⇒ 124.63 cm²
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Among the licensed drivers in the same age group, what is the probability that
a 57-year-old was involved in an accident? Use the table below.
Drivers in
Age group accidents
(thousands)
19 and under 2150
20-24
2620
25-34 3740
35-44 3220
45-54 3030
55-64
1990
65-74
790
75 and over 560
Drivers in
fatal
accidents
5,400
8.700
10.700
9600
9400
6500
3800
4300
Licensed
Drivers
(thousands)
10,034
17.173
35,712
40,322
40,937
30,355
17,246
13,321
Answer:
The probability that a 57-year-old was involved in an accident is 0.0656.
Step-by-step explanation:
We are given the data for the drivers involved in an accident of different age groups.
And we have to find the probability that a 57-year-old was involved in an accident.
From the table given to us, it clear that a 57-year-old driver will lie in the age group of 55 - 64.
Now, the number of licensed drivers in the age group of 55 - 64 are 30,355 (in thousands).
The point to be noted here is that the data given of drivers in accidents (thousands) will include the data of drivers in fatal accidents.
So, the number of 57-year-old drivers involved in accidents are 1990 (in thousands).
The probability that a 57-year-old was involved in an accident is given by;
= [tex]\frac{1990}{30,355}[/tex]
= [tex]\frac{398}{6071}[/tex] = 0.0656 or 6.56%
help meplz i want help i bad
Answer:
.00002
Step-by-step explanation:
2 * 10 ^-5
Move the decimal 5 places to the left since the exponent is negative
2.
We will need to add zeros on the left Add 4 zeros since we can move it one place already
.00002
Answer:
(D) 0.00002
Step-by-step explanation:
Let's first forget about the 2 in the expression and focus on [tex]10^{-5}[/tex].
If we have 10 to a positive number, that many times the decimal place will move to the right. It's the opposite for 10 to the power of a negative number.
The decimal place will move 5 places to the LEFT.
So:
[tex]0000010\\\\0.00001[/tex]
Now we remember the two, and multiply this by two to get 0.00002.
Hope this helped!
Find the distance between (4.9) and (5, 12)
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
[tex]\sqrt{(x_{2} - x_{1}) ^ {2} + (y_{2} - y_{1}) ^ {2}}[/tex]
[tex]\sqrt{(5-4) ^ {2} + (12 - 9) ^ {2}} = \sqrt{1^{2}+3^{2}} = \sqrt{10}[/tex]
write the fraction for each of the following do number 3 and 4 thanks
Answer:
7
Step-by-step explanation:
Find the value of x.
Answer:
27
Step-by-step explanation:
By the theorem of intersecting secant and tangent out side of a circle, we have:
[tex] {60}^{2} = 48 \times (48 + x) \\ 3600 = 48 \times (48 + x) \\ \frac{3600}{48} = 48 + x \\ 75 = 48 + x \\ 75 - 48 = x \\ x = 27 \\ [/tex]
Kitty buys hot chocolate sachets. There are 14 hot chocolate sachets in a small box. A small box costs £3.49. Kitty uses 3 hot chocolate sachets each day. Work out the how much Kitty spends on hot chocolate sachets in a four-week period.
Answer:
24.43
Step-by-step explanation:
first find the price of One sachets
next Find the no. of sachets consumed for four weeks..
and at last the product of the price of one sachet and no. of sachets consumed will give the answer...
Mathematical operation are above...
PLS HELP ME WITH THIS QUESTION, ANYTHING REALLY HELPSS!!!!
Answer:
x = 75
Step-by-step explanation:
FGE is a straight line so it equals 180 degrees
FGA + AGC + CGE = FGE
x + 90 + 15 = 180
Combine like terms
x+ 105 = 180
Subtract 105 from each side
x = 180-105
x = 75
Answer:
x = 75º
Step-by-step explanation:
The Vertical Angle Theorem shows that:
∠CGE ≅ ∠DGF
So:
∠DGF = 15º
∠AGD = 90º
90º - 15º = 75º
x = 75º
If you transform x2 + y2 = 25 into 4x2 + 4y2 = 25, which option below describes the effect of this transformation on the radius? A. It multiplies the radius by 2. B.It multiplies the radius by 4. C.It divides the radius by 4. D.It divides the radius by 2.
Answer:
C. It divides the radius by 4.
Step-by-step explanation:
We have x2 + y2 = 25.
If all terms were multiplied by 4, we would have 4x2 + 4y2 = 100. But, the radius is 25 units. 100 / 25 = 4. So, the radius was divided by 4.
Hope this helps!
Can you solve this???
BAE + HEG = 180°
124 + 2x+6 = 180°
2x+6 = 56
x = 50/2
x = 25°
Reason:
Given
HEG = EAD since they are corresponding angles
EAD + EAB = 180° since they are supplementary angles.
xx
Please help me with this I will give u 100 points
Answer:
see below
Step-by-step explanation:
Video Game
20% off means you pay 80%
80 dollars * 80% =
80 * .80 = 64
Movie ticket
14 original price
Sale price = 11.40
14* p% = 11.40
Divide each side by 14
p% = 11.40/14
p% =81.4285714
You paid 81 3/7%
The discount is 100 -81 3/7%
18 4/7 % discount
Laptop
1000 original price
Sale price = 750
1000 * p% = 750
p% = 750/1000
p% =75%
You paid 75%
The discount is 100 -75%
25 % discount
Answer:
Below
Step-by-step explanation:
First item)
The original price of the video games is 80$ wich is 100%
This item has a 20% discount.
Let x be the value of the dicount in dollars.
● 80 => 100
● x => 20
● x =(80×20)/100 = 16$
So the amount of the discount is 16$.
● 80-16 = 64 $
So the amount that was paid is 64$
■■■■■■■■■■■■■■■■■■■■■■■■■■
Second item):
The price that was paid is 11.2$out of 14$ initially.
Let x be the percentage of 11.2
● 14$ => 100%
● 11.2$ => x
● x = (11.2×100)/14 = 80%
● 100-80 = 20%
So the percentage of discount was 20%
■■■■■■■■■■■■■■■■■■■■■■■■
Third item):
The laptop was boughr for 750$ out of 1000$ initially
No need to do calculations here.
Notice that: 750/1000 = 3/4 = 0.75 = 75%
● 1000-750 = 250
So 250 is the amount discounted wich is 25% of 1000$