Answers
Answer:
It is 10²
Step-by-step explanation:
[tex] \frac{ {10}^{3} . {10}^{4} }{ {10}^{5} } = \frac{ {10}^{(3 + 4)} }{ { {10}^{5} }} \\ \\ = \frac{10 {}^{7} }{ {10}^{5} } \\ \\ = {10}^{(7 - 5)} \\ = {10}^{2} [/tex]
Answer:
10²
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
Then
[tex]\frac{10^{3}.10^{4} }{10^{5} }[/tex]
= [tex]\frac{10^{(3+4)} }{10^{5} }[/tex]
= [tex]\frac{10^{7} }{10^{5} }[/tex]
= [tex]10^{(7-5)}[/tex]
= 10²
Related Questions
a bowl contains seven green chips 4 blue chips and 9 red chips find the probability?
Answers
The Probability of picking green chips, blue chips and red chips respectively are 7/20, 1/5, and 9/20.
Number of green chips = 7
Number of blue chips = 4
Number of red chips = 9
Total number of chips = 7+4+9 = 20
Probability of picking green chips = 7/20
Probability of picking blue chips = 4/20 = 1/5
Probability of picking red chips = 9/20
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Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; Y-intercept = 6
What is the equation of the line?
y =
Answers
Answer:
y = -9x + 6
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slopeb = y-interceptTherefore, the equation is y = -9x + 6.
y = -9x + 6
Step-by-step explanation:
Slope-intercept form: y = mx + b where m = slope and b = y-intercept
Our slope is -9 and our y-intercept is 6
Therefore our equation is y = -9x + 6
pls help quickly worth 50 points
Which is the graph of y = |3x| – 2?
On a coordinate plane, a straight line with a positive slope has a y-intercept of (0, negative 2) and an x-intercept of (0.75, 0).
On a coordinate plane, a straight line with a positive slope has no y-intercept and an x-intercept of (2, 0).
On a coordinate plane, an angled line with a minimum value of (0, negative), which is also the y-intercept, has x-intercepts of (negative 0.75, 0) and (0.75, 0).
On a coordinate plane, an angled line with a minimum value of (0.75, 0), has a y-intercept of (0, 2).
Answers
Answer:
C
Step-by-step explanation:
PLEASE HELP FAST!! I CANNOT GET THIS WRONG!!!!
Makayla and David work at a furniture store. Makayla is paid $230 per week plus 7.5% of her total sales in dollars, x, which can be represented by g(x)=230+0.075x. David is paid $321 per week plus 4% of his total sales in dollars, x, which can be represented by f(x)=321+0.04x. Determine the value of x, in dollars, that will make their weekly pay the same.
Answers
Answer:
6
Step-by-step explanation:
you kna mean?
Help (Geomotry)!!!!
Answers
x + 7 + 3x + 20 = 6x - 5
4x + 27 6x - 5
4x - 6x-27-5
-2x = -32
x = -32: (-2)
x = 16
Therefore
MN = 3x + 20 = 3 16+ 2048 + 20 = 68 Answer: MN = 68.
tim x: 3x(x-2) + 2(2-x)=0
Answers
Answer:
Assuming this is the full problem.
3x^2-8x+4
Step-by-step explanation:
Write an absolute value inequality for the graph below. Use x for your variable.
Answers
Answer:
|x| ≥ 7
Step-by-step explanation:
Taking the absolute value means that any value of x will always be positive, meaning that the absolute value of -7 or less would be 7 or greater, which satisfies the inequality above and line graph.
Absolute value is 7 or greater.
What is inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
p ≠ q means that p is not equal to qp < q means that p is less than qp > q means that p is greater than qp ≤ q means that p is less than or equal to qp ≥ q means that p is greater than or equal to qAs, absolute value means that any value of x will always be positive.
So, the absolute value according to -7 or less would be 7 or greater,
Hence, absolute value is 7 or greater.
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#SPJ2
Equation : -2 (4g - 3) = 30
Answers
Answer:
g = -3
Step-by-step explanation:
-2 (4g - 3) = 30
-8g + 6 = 30
-8g = 24
g = -3
Answer:
[tex] \boxed{g = -3} [/tex]
Step-by-step explanation:
[First, distribute the factored term on the left side of the equation (distribution property of equality)]
-2 ( 4g – 3 ) = 30 →
-2 ( 4g ) – -2 ( 3 ) = 30 →
-8g + 6 = 30 →
[Next, subtract 6 from both sides (subtraction property of equality)]
-8g + 6 – 6 = 30 – 6 →
-8g = 24 →
[Finally, divide both sides by -8 to cancel out the coefficient of -8 in -8g and reduce it to solve for g (division property of equality)]
-8g / -8 = 24 / -8 →
g = -3
rovers,United and City are football teams
rovers scored x goals
United scored 8 goals more than rovers
City scored 3 goals less than twice the number of goals scored by rovers
the three teams scored a total of 117 goals
solve to find the value of x
Answers
Based on the information given, the value of x is 28 which means that Rovers scored 28 goals.
Number of goals scored by Rovers = x
United scored 8 goals more than rovers. This will be = x + 8
City scored 3 goals less than twice the number of goals scored by rovers. This will be: = 2[x} - 3 = 2x - 3
Since the three teams scored a total of 117 goals, this will be:
x + x + 8 + 2x - 3 = 117
Collect like terms
4x = 117 - 8 + 3
4x = 112
x = 112/4
x = 28
The value of x is 28
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50 km/h to miles per hour
Answers
31.069 miles per hour
Write the rational numbers whose multiplicative inverse are themselves
Answers
Answer:
the rational numbers whose multiplicative inverse are themselves are 1& -1.hope it helps .stay safe healthy and happy.The senior classes at High School A and High School B planned separate trips to the state fair. The senior class at High School A rented and filled 13 vans and 6 buses with 278 students. High School B rented and filled 10 vans and 12 buses with 428 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Answers
Answer:
8 students in van, 29 students in bus
Step-by-step explanation:
To find the number of students in each van and bus, we can use system of equations to solve. Our first step is to create one equation for High School A and B. Let's use x for vans and y for buses, but ultimately, the variables don't matter that much.
High School A: 13x+6y=278
High School B: 10x+12y=428
Let's use elimination method to solve. We would multiply the first equation by 2.
26x+12y=556
10x+12y=428
Now that the 12y is the same in both equations, let's eliminate y by subtracting the 2 equations.
26x+12y=556
-(10x+12y=428)
16x=128
With 16x=128 left, we can just solve for x.
16x=128 [divide both sides by 16]
x=8
Now that we have x=8, we can plug that into the equations above to find y.
13(8)+6y=278 [multiply]
104+6y=278 [subtract both sides by 104]
6y=174 [divide both sides by 6]
y=29
With x=8 and y=29, we know that there are 8 students in each van and 29 students in each bus.
Step-by-step explanation:
Let,
No. of students in vans = x
No. of students in bus = y
In case 1
13x + 6y = 278(1)
In case 2
10x + 12y = 428(2)
On multiplying eq. 1 by 2
2(13x + 6y) = 2(278)
26x + 12y = 556 (3)
On subtracting 2 and 3
26x + 12y - (10x + 12y) = 556 - 428
26x + 12y - 10x - 12y = 128
16x = 128
x = 128/16
x = 8
From 1
13(8) + 6y = 278
104 + 6y = 278
6y = 278 - 104
6y = 174
y = 174/6
y = 29
What is the equation of the line that passes through the point (6,3) and has a slope
of -1/3?
Answers
Answer:
y = - [tex]\frac{1}{3}[/tex] x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{3}[/tex] , then
y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute (6, 3 ) into the partial equation
3 = - 2 + c ⇒ c = 3 + 2 = 5
y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line
Which is an equivalent form of the expression 1800(1.2)-t?
Answers
Answer:
2160 - t
Step-by-step explanation:
1800(1.2)-t
2160 - t
Solve the blank boxes on the graph and answer the question in red
Answers
Answer:
I can’t see the red question.
Step-by-step explanation:
(4) ^ (1/3) * (3 ^ (1/3) * 3 ^ (1/2)) ^ 7 / (9 ^ (3/4))
Answers
Answer:
Here is your answer . Hope this helps.
divide 6q by q please solve this and help me to get out of this
Answers
Step-by-step explanation:
the answer is 6
please mark me brainliest
Answer:
[tex] \frac{6q}{q} \\ \frac{6 \times q}{q} \\ when \: q \: is \: divided \: by \: q \: then \: the \: remainder \: is \: 1 \\ 6 \times 1 \\ 6[/tex]
write an expression that means the same as the sentence. "the sum of sixteen and g is equal to seventy divided by seven. "
Answers
16+g=70/7
Explanation:
. . .
What is the solution set to this equation?
log4 (x + 3) + log4x =1
A. x=0
B. x=1
C. x=1 and x= -4
D. x=-3 and x=0
Answers
Answer:
B
Step-by-step explanation:
Using the rules of logarithms
log x + log y = log (xy)
[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]
Given
[tex]log_{4}[/tex] (x + 3) + [tex]log_{4}[/tex] x = 1 , then
[tex]log_{4}[/tex] x(x + 3) = 1
x(x + 3) = [tex]4^{1}[/tex] = 4
x² + 3x = 4 ( subtract 4 from both sides )
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
However, x > 0 , thus x = 1
Help me out plzzzzzz
Answers
Answer:
∠1 = 56
Step-by-step explanation:
To find ∠1 we need to
∠1 + ∠2 = ∠ABD
∠1 + 17 = 75
∠1 = 75 -17
∠1 = 56
what is ⅓ + ⅒? please
Answers
Answer:13 over 30
13/30 or 0.433
Step-by-step explanation:
Can someone please help me with this? Can someone please explain too?
It's a little bit urgent, please help. Thank you.
Answers
Answer:
1. A
2. D
3. D
Step-by-step explanation:
For one & two: Basically, what you do is you replace the Xs from the answers with all the set of numbers given from the question. You then see after you test the numbers w/ the answers it'll help you find the correct answer.
For three: Using all the numbers starting from zero to the left you use it to solve the problem by utilizing those numbers and replacing it w/ the Xs as explained above to find your answer.
This is my test question Round 1.391 to the nearest hundredth and I’m have a hard time I don’t understand I need the answer!!!
Answers
Answer:
1.39
Step-by-step explanation:
nearest hundredth is 9
therefore 1.39 ig
Answer:
1.39
Step-by-step explanation:
0.090 is the hundreth. If the number in the thousandths spot is less than 5, which it is, you round back to 0.090
If a man earns 90cents every 3 minutes and he works for a day shift of 5hours how much will he earn in that time?
my answer is 9000cents per 5 hours which is also $90 per 5 hours
Answers
Answer:
It is 9000 cents or $90 total for 5 hours
Step-by-step explanation:
find the cube root of 5832
Answers
Answer:
18
hope it helps
1.) -6v²w³ (v² - 11v²w⁵ + 6w⁴)
2.) -10x⁴y⁴ (x⁴ - 4x⁴y⁴ + 4y³)
Answers
2) -10x^8y^4 + 40x^8y^8 - 40x^4y^7
please help I’m pretty sure the answers are right I just need a reasoning for my answer like a paragraph of my explanation.
Answers
The explanation for c: This triangle is possible since the sum of its three angles is 180 degrees.
Step-by-step explanation:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side;a+b > c
a+c > b
b+c > a
If this is true for all three combinations of added side lengths, then you will have a triangle.A)triangle is possible with these measurements
2+3 >4
2+4> 3
3+4>2
B)triangle is not possible with these measurements
2+3 >6
2+6> 3
3+6>2
C)triangle is possible with these measurements
90+45+45=180 degrees(sum of interior angles of a triangle is 180 degrees)
180=180
D)triangle is not possible with these measurements
90+60+60=180(sum of interior angles of a triangle is 180 degrees)
90+120 =210 degrees
sum of interior angles of the triangle is more than 180 degrees
Therefore it is not a triangle
helpppppppppppp fast ill mark you brainlist or whatever !!! hurry i have one try
Elisa withdrew $22 at a time from her bank account and withdrew a total of $198. Frances withdrew $45 at a time from his bank account and withdrew a total of $270. Who made the greater number of withdrawals? (select) made the greater number of withdrawals, because she made withdrawals, while (select) only made withdrawals.
Answers
Step-by-step explanation:
Elisa made the greater number of withdrawals, because she made 9 withdrawals, while Frances only made 6 withdraws.
In triangle ABC, the length of side AB is 12 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?
A.
3 inches
B.
34 inches
C.
31 inches
D.
15 inches
Answers
Answer:
12,04
Step-by-step explanation:
17^2 - 12^2 (pythagoras theorem)
=145
=square root of 145
=12.04 (rounded off)
Algebra 1
David has a savings account that currently has $25. He spends $5 per week.
Х У
-2
0 25
1
4
Fill in the rest of the table.
Answers
Answer:
35,25,20,5
Step-by-step explanation:
X.......Y
-2.....35 ( Assuming he has been spending 5$ a week we can backtrack)
0........25 ( given)
1.........20 ( he has spent 5)
4..........5 ( 5*4=20-25=5)
