30 points.!
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths place.
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Answers
Answer:
The first one is 7.8
The second one is 3.3 x 10^3
The third one is 2.1 x 10^-3
The fourth one is 3.7
Hope that helps! :)
Step-by-step explanation:
The tiles are matched for the exponential equations as:
a) ( 8.6 x 10⁷ ) x ( 9.1 x 10⁻⁸ ) = 7.8
b) ( 6.9 x 10⁵ ) x ( 4.8 x 10⁻³ ) = 3.3 x 10³
c) 2.1 x 10⁻³
d) 3.7
Given data:
The exponential equation is represented as A
Now, the value of A is
From the laws of exponents , mᵃ×mᵇ = mᵃ⁺ᵇ
a)
A = ( 8.6 x 10⁷ ) x ( 9.1 x 10⁻⁸ )
So, on simplifying the equation:
A = ( 8.6 x 9.1 ) x ( 10⁷⁻⁸ )
A = 78.26 x 10⁻¹
A ≈ 7.8
b)
A = ( 6.9 x 10⁵ ) x ( 4.8 x 10⁻³ )
So, on simplifying the equation:
A = ( 6.9 x 4.8 ) x ( 10⁵⁻³ )
A = 33.12 x 10²
A ≈ 3.3 x 10³
c)
[tex]A=\frac{(3.7*10^{2})*(4.6*10^{-3})}{(1.4*10^{-6})*(5.7*10^{8})}[/tex]
On simplifying:
A = ( 17.02 / 7.98 ) x 10⁻³
So, A ≈ 2.1 x 10⁻³
d)
[tex]A=\frac{(3.1*10^{5})*(5.3*10^{-9})}{(7.3*10^{2})*(6.1*10^{-7})}[/tex]
On simplifying:
A = ( 16.43 / 44.53 ) x 10
A ≈ 3.7
Hence , the exponential equations are solved.
To learn more about exponents click :
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Related Questions
find the area of the figure. please need help
Answers
Answer:
24
Step-by-step explanation:
For each fraction, select the most appropriate estimate. 36 40 choose.. 1 3 choose.. 70 100 choose.. 1 8 choose.. Options: Closest to 0 Closest to one half Closest to 1
Answers
Answer:
Convert each fraction to its percentage form:
= 36 / 40
= 90%
= 1/3
= 33.3%
= 70/100
= 70%
= 1 / 8
= 12.5%
Looking at the percentages:
= 36 / 40 is closest to 1.
= 1/3 and 70/100 are closest to one half which is 50%
= 1/8 is closest to 0.
help i’ll give brainliest
Answers
Answer:
the last one
Step-by-step explanation:
it's going right 6 so its increasing and going down it's decreasing by 3
Answer:
Each x-coordinate decreased by 6, and each y-coordinate increased by 3.
Step-by-step explanation:
The x coordinates went back 6, and the y coordinates went upward by 3.
if the width of a football field is (x-3) and the length is (4x-3), what is the area? need before 1:40 on 3-19-2021
Answers
Answer:
4x² - 15x + 9
Step-by-step explanation:
To find the area of a rectangle, you multiply the length by the width.
length: 4x - 3
width: x - 3
Multiply these expressions.
(4x - 3)(x - 3)
To multiply two binomials, you want to FOIL them
FOIL: first | outer | inner | last
(4x - 3)(x - 3)
F: 4x • x = 4x²
O: 4x • -3 = -12x
I: -3 • x = -3x
L: -3 • -3 = 9
Combine these values.
4x² - 12x - 3x + 9
Combine the variables that can be combined.
4x² - 15x + 9
This is the area as an expression.
Hope this helps!
hey I'm chloe can you help me, i will give Brainlest, Thank you :)
Cylender A has a radius of 4 inches and height of 2 inches. Cylinder B has a radius of 2 inches. What is the height of cylinder B if both cylinders have the same volume?
Answers
Answer:
Cylinder B: The height would be 8 inches.
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
V = A * h
CA = 4² = 16 * 2 = 32π
CB = 2² = 4 * 8 = 32π
solve the system of equations algebraically y = 4x + 2 y = -2x + 6
Answers
Answer:
x=-3
y=12
Step-by-step explanation:
y=4x+2y
-y=4x
y=-4x
y=-2x+6
-4x=-2x+6
-2x=6
x=-3
y=-4x
y=-4(-3)
y=12
Brillianst!!! please!!!
The solution to the system of equations is:
x = 2/3 and y = 14/3
We have,
Since both equations are equal to y, we can set them equal to each other and solve for x:
4x + 2 = -2x + 6
Adding 2x and subtracting 2 from both sides, we get:
6x = 4
Dividing both sides by 6, we get:
x = 2/3
Now that we have a value for x, we can substitute it into either equation to find the corresponding value of y.
Let's use the first equation:
y = 4x + 2
y = 4(2/3) + 2
y = 8/3 + 2
y = 14/3
Therefore,
The solution to the system of equations is:
x = 2/3 and y = 14/3
Learn more about solutions of equations here:
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how do you prove something as a parallelogram?
Answers
What is the area of the image below?
I will mark brainliest!!!
Answers
Answer:
116 square cm
Step-by-step explanation:
Find the area of each shape
7*10=70
4*4=16
1/2(15)*4=30
70+16+30=116
James had a collection of 400 baseball cards at the beginning of the summer. After the summer, James had traded some of his baseball cards and now he has only 388 baseball cards. What is the percent decrease of his baseball card collection?
Answers
Answer:
3%
Step-by-step explanation:
Explain how you would find 90% of 120 will give brainliest if correct
Answers
12
Explanation:
Turn 90% into a decimal , 0.9
Multiple it by 120, 120x0.9=108
Now that we know 108 is 90% of 120
subtract it to see the remaining amount, 120-108=12
Hope this helps!
A sports tournament has d teams. Each team has 15 players. Using d, write an expression for the total number of players in the tournament.
Answers
Answer:
d x 15=total players.
Step-by-step explanation:
dx15=total number of players in the tournament.
Answer:
15d
Step-by-step explanation:
If there are d teams and 15 people in each team d x 15 = 15d
Find the exact value of cos0. Express your answer as a fraction.
Answers
Trigonometric Functions -
[tex] \cos = \frac{adjacent}{hypotenuse} [/tex]
Find the opposite side, first of all.
Pythagorean Theorem -
[tex]a^{2} + b^{2} = c^{2} [/tex]
Input the hypotenuse and opposite sides to find b^2.
[tex]49 + {b}^{2} = 64[/tex]
Minus 49 from equations to get b^2 by itself.
[tex] {b}^{2} = 15[/tex]
Square root b^2 and 15 to get b by itself.
[tex]b = \sqrt{15} [/tex]
Now we can get to the trigonometry functioms!
[tex] \frac{ \sqrt{15} }{8} [/tex]
Divide them up, then find the percentage!
48% or...
[tex] \frac{ \sqrt{15} }{8} [/tex]
Fay has treated a triangular prism and a triangular pyramid. The bases of the solids are congruent and their heights
have the same measure. Which of the following is true?
1
A The volume of the pyramid will be the volume of the prism.
2
1
B The volume of the prism will be the volume of the pyramid.
3
1
The volume of the pyramid will be the volume of the prism.
The volume of the prism will be 2 times the volume of the pyramid.
Answers
find the value of x3-1 if x= 0, 1,-1
Answers
Step-by-step explanation:
Given
x³ - 1
When x = 0
0³ - 1 = - 1When x = 1
1³ - 1 = 0when x = - 1
( -1)³ - 1 = - 2Hope it will help :)❤
$3.16. What is the unit price? *
Answers
Joey’s mom baked (20) cookies. That night, there were 14 cookies left. What percentage of the cookies were eaten?
Help me
Answers
Answer:
30%
Step-by-step explanation:
20 cookies in total - 14 remains = 6
6 / 20 = 0.3
0.3 = 30%
Justin's pay is represented by this line graph.
Pay (dollars)
300
280
260
240
220
200
180
160
140
120
100
80
60
40+
20+
0
10 20 30 40
Time Worked (hours)
How much is Justin paid for one hour of work?
$6.50
$7.50
$8.00
Answers
Roland bought 6 tickets for him and his family to attend the high school basketball game. He bought a combination of student tickets for $3 each and adult tickets for $5 each. If he spent a total of $24 on the tickets, which system of equations could be used to find the number of student tickets, x, and the number of adult tickets, y, he bought?
Answers
Answer:
RM 21 for student and for adults
a basket contains oranges, apples, and pears. the ratio of oranges to apples is 3:8 and the ratio of oranges to pears is 3:4. What is the ratio of oranges to the total number of fruits in the basket?
Answers
Answer: 3:15
Step-by-step explanation: you add up all the fruits which is 3,8,4. You put the 3 first because that’s what’s first. If it says to something first then you do it.
make p the subject of the formula A=p+prt÷100
Answers
Answer:
p = a - prt x 100
Step-by-step explanation:
a = p + prt ÷ 100
a - prt = p ÷ 100
a - prt x 100 = p
Hope this helps. :)
If AACD ~ AABE, find the value of x.
Answers
9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Corresponding sides are proportional.
BE/CD = AE/AD
20/(3x+8) = (x-1)/(x-1+27)
20(x+26) = (3x+8)(x -1)
In standard form, this is ...
3x^2 -15x -528 = 0
x^2 -5x -176 = 0 . . . . . . divide by 3
(x -16)(x +11) = 0 . . . . . . . factor
x = 16
__
This is the positive value that makes the product zero. x=-11 will also make the product 0, but gives negative segment lengths in the geometry. It is an extraneous solution.
Of the last 6 trains to arrive at Norwood Station, 3 were on
time. What is the experimental probability that the next train
to arrive will be on time?
write the answer as a decimal rounded to the nearest tenth
Answers
Answer:
5/6 chance
Step-by-step explanation:
Michaela caught 3 fish, which weigh a total of 19 1/2 pounds. One fish weighs 7 5/8 pounds and another weighs 5 3/4 pounds. How does the third fish weigh? i’m in fifth grade.
Answers
Answer:
ANSWER: 6 1/8
Step-by-step explanation:
Steps:
7 5/8 + 5 3/4
7 5/8 + 5 6/8
12 11/8
13 3/8
19 1/2 - 13 3/8
19 4/8 - 13 3/8
6 1/8
ANSWER: 6 1/8
You deposit $200 in an account earning 8% interest compounded annually. How much will you have in the account in 20 years?
Answers
You would have saved up $932, gaining a total of $732 saved in interests
can someone please Solve this equation for me 2x – 3 = 9
Answers
Answer:
x=6
Step-by-step explanation:
Hello There!
Our whole objective is to isolate the variable (x) by using inverse operations
2x-3=9
to get rid of the -3 we add 3
Remember whatever we do to one side we have to do to the other side so we add 3 to each side
-3+3 cancels out
9+3=12
now we have
12=2x
now to get rid of the 2 we divide by 2
so we divide each side by 2
2x/2=x
12/2=6
we´re left with
x=6
[tex] \frac{2}{2m - 1} - \frac{1}{m + 2} = 1 \frac{2}{3} [/tex]
Answers
Answer:
m = 1
Step-by-step explanation:
2(m+2) - (2m-1) = 5
(m+2)(2m-1) 3
2m² -1m + 4m -2 = 3
2m² + 3m - 5 = 0
(2m+5)(m-1) = 0
m = 1 This is the only value that satisfies the equation
m = -5/2
A grocery store surveys 200 random customers to see how frequently they will buy Charlie’s Chocolate Cereal. The results indicate that 30 people will buy the cereal monthly.
Estimate the number of customers that will buy the cereal monthly if 20,000 people shop at the store each month.
Answers
Answer:
6.7
Step-by-step explanation:
or 6.666666666666666666
Answer:
3000 peeps
Step-by-step explanation:
So, if 30 out of the 200 people buy the cereal, i would make a ratio. 30:200
Divide the 200 by 20,000, which is 100 and multiply that by 30, which is 3,000. so it is 3,000 indeed.
Find the total surface area of a cuboid whose length,breadth,and height are 9cm,7cm,and 4cm respectively.pls help me guys.and I will make you brainliest.it is not false I am saying true
Answers
Answer:
length=9 cm breadth=7cm height=4cm area of a cubid=: we know that area of a cuboid= 252
Answer:
254
Step-by-step explanation:
Length : a
Width : b
Height : c
Surface : s
s = 2(ab + bc + ca)
s = 2(9x7 + 7x4 + 4x9)
s = 2(63 + 28 + 36)
s = 2(127)
s = 2 x 127
s = 254
An angle measures 56° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
62,118
Step-by-step explanation:
Let one angle = x
So, other angle = x +56
x +x +56 = 180 {Combine like terms}
2x + 5 6 = 180 {Subtract 56 form both sides}
2x = 180 - 56
2x = 124 {Divide both sides by 2}
x = 124/2
x = 62
Other angle = 62 + 56 = 118
Find the area of the polygon.
2cm 2cm 3m
Answers
Answer:
If its a specific shape then probably the formula would be different.
If it were to be a parallelogram then multiply all given lengths
2 x 2 x 3 = 12cm