Answer:
Given
Step-by-step explanation:
When the base is same but the exponents are different, the rule is that a^m/a^n
= a^m-n
So in this case let a be 5, m be 3 and n be 7
5^3/5^7
= 5^3-7
= 5^-4
Which equations are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A -x +0+(- x) = 0−x+0+(−x)=0minus, x, plus, 0, plus, left parenthesis, minus, x, right parenthesis, equals, 0 (Choice B) B -x-(-x) =0−x−(−x)=0minus, x, minus, left parenthesis, minus, x, right parenthesis, equals, 0 (Choice C) C None of the above
Answer:
(B)-x-(-x) =0
Step-by-step explanation:
Option A
Our equation is: -x +0+(- x) = 0
Left Hand Side:
-x +0+(- x) = -x-x=-2x
[tex]($Left Hand Side) $-2x\neq 0$ (Right Hand Side)[/tex]
Option B
Our equation is: -x-(-x) =0
Left Hand Side:
-x-(-x) =-x+x=0
[tex]($Left Hand Side) 0 = 0 (Right Hand Side)[/tex]
Therefore, the equation in Option B is true.
Which is a function represented by the table
A. F(x)=x+5
B.f(x)=x-5
C.F(x)=x+1
D. F(x)=x-1
can someone help asap
Answer:
5.125 = [tex]5\frac{125}{1000}[/tex] = [tex]5\frac{1}{8}[/tex]
Step-by-step explanation:
=> 5.125
Changing this into fraction form:
=> [tex]5\frac{125}{1000}[/tex]
In simplified form:
=> [tex]5\frac{1}{8}[/tex]
1. Evaluate (101.5)? - (100.5)
Why is angle Q congruent to angle MPN and why is angle N congruent to itself. Thank you!
Answer:
<MPN is congruent to <Q because they both are corresponding angles while <N is self congruent because it is common in the two similar triangles.
Solve 15=1.5r+3 check your solution
Answer:
r = 8
Step-by-step explanation:
15 = 1.5r+3
Subtract both sides of the equation by 3.
15-3 = 1.5r+3-3
12 = 1.5r
Divide both sides of the equation by 1.5.
12/1.5=1.5r/1.5
8 = r
r = 8
Answer:
[tex]8[/tex]
[tex]1.5r + 3 = 15 \\ 1.5r = 15 - 3 \\ 1.5r = 12 \\ r = \frac{12}{1.5} \\ r = \frac{120}{15} \\ r = 8[/tex]
Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 4 - (x - 6)2 (5 points)
Answer:
g(x) is always decreasing
Step-by-step explanation:
Step 1: Distribute
g(x) = 4 - (2x - 12)
g(x) = 4 - 2x + 12
Step 2: Combine like terms
g(x) = -2x + 16
Since the line is linear and has a negative slope, it will always decrease when you input either a positive or negative x value. The output y will go lower.
Which of the following is an example of dependent events? A. Drawing a jack from a standard deck of cards and then drawing a six without replacing the jack B. Winning the lottery and getting struck by lightning C. Spinning a 5 on a spinner and getting tails from flipping a coin D. Owning a dog and being in the school chorus
Answer: A. Drawing a jack and drawing a six without replacement
Step-by-step explanation:
A Dependent event means the outcome of one event affects the outcome of the other event.
Options B, C, and D:
The first event is completely unrelated to the second event so those options are Independent events.
Option A:
The first event uses 52 cards. The second event only has 51 cards remaining because we did not replace the first card. The probability of the second event IS affected by the first event so this is a Dependent event.
Note: If the card was replaced before drawing the second card, then it would be an Independent event.
The example for dependent events is (A) Drawing a jack from a standard deck of cards and then drawing a six without replacing the jack.
What are Dependent Events?If the probability of one event of two events is affected by another one then that two events are called dependent events of one another.
What is Probability?The probability of an event is the ratio of the favorable cases for that event to the total number of possible cases under that event.
Here analyzing the given choices we get,
(A) If we draw a jack from a standard deck of cards that is containing 52 cards.
And then we draw a six replacing without that jack card then it affects the probability as the total number of cards for this event reduces from 52 to 51.
So these two events are dependent events.
(B) Winning a lottery and getting struck by lighting are completely two different events from a different field, so they are independent.
(C) Spinning a 5 on a spinner cannot affect getting tails from flipping a coin. So they are not dependent on events.
(D) Owning a dog cannot affect being in the school chorus so they are independent (not dependent).
Hence the correct answer is (A).
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Which numbers are the means of the proportion shown below
A. 2 and 30
B 2 and 20
0.3 and 30
D. 3 and 20
Answer:
2 and 30
Step-by-step explanation:
2/3=20/30
2 and 30 means the extremes and 3 and 20 are the means
Na Campanha contra fome , foram arrecadados 1480 quilo de açúcar, 1207 kg de açúcar e 678 quilos de feijão. Quantos quilos de mantimento foram arrecadados?E ajudem por favor Não esqueção do cálculo por favor
Answer:
3,365 quilo
Step-by-step explanation:
Aqui, temos a tarefa de calcular os quilos de mantimentos coletados.
Para conseguir isso, o que fazemos é somar todos os quilos que temos aqui.
Matematicamente, isso representaria 1480 kg de açúcar + 1207 kg de açúcar + 678 kg de feijão = 1480 + 1207 + 678 = 3,365 kg de mantimentos
What is f(x)=x2-8x+11 written in vertex form
Please help :( I don’t know this one:/
Answer:
i think is D
Step-by-step explanation:
because 2×7=21
3×21=63
and the parent still going
Answer:
its d
Step-by-step explanation:
its d cuz if you multiply 2 × 7 it will equal to 21
and then when you multily them both youll
get 63 3×21=63
help :rewrite 2.267 repeating 67 as a simplifed answer
Answer:
449/198 or 2 53/198
Step-by-step explanation:
2. 2676767 = x
10x= 22. 67676767
1000x= 2267. 676767
1000x-10x= 2267.676767- 22.67676767
990x= 2245x= 2245/990x= 449*5/5*198x= 449/198 x= 2 53/198Answer:
Step-by-step explanation: First, create an equation that represents the repeating decimal that you want to convert to a fraction
x = 2.267267.... (1)
There are 3 repeating decimals, multiply both sides of the equation by 103 = 1000 so that both equations have the same repeating digits to the right of the decimal point
1000x = 2267.267267... (2)
Subtract the equation (1) from equation (2)
1000x
x =
= 2267.267267...
2.267267...
999x = 2265
Solve for the x in the equation to determine the equivalent fraction.
x =
2265
999
Since the greatest common factor of 2265 and 999 is 3, we can simplify the fraction and show the same amount
2265
999
=
2265 ÷ 3
999 ÷ 3
=
755
333
Therefore, 755/333 is simplified fraction of 2.267 repeating. Since this is an improper fraction, converted to mixed number is:
755
333
= 2
89
333
Therefore, 2.267 repeating as a fraction is 755/333 and It is written as 2 89/333 in mixed number form.
The length of a newborn baby has been found to be 0.99m +18, where m is the number of months since birth. a. By how much is the length of the baby increasing per month? The baby is increasing by .99 inches per month. b. How much was the initial length of the baby at birth?
Answer:
The intial length of the baby was 18in.
Step-by-step explanation:
We see that she already has 18 in the problem and is added to how much is grown every month.
A shop sells posters in different sizes. The height (h) and width (w) of each poster are linked by the formula h=2.5w -5 What is the width of a poster that is 10 cm high?
Answer: 6 cm
Step-by-step explanation:
Hi, to answer this question we simply have to substitute h=10 (height) in the formula given:
h=2.5w -5
Replacing:
10= 2.5w-5
Solving for w (width)
10+5=2.5w
15 =2.5w
15/2.5=w
w =6 cm
In conclusion, the width of a poster that is 10 cm high is 6 cm.
Feel free to ask for more if needed or if you did not understand something.
What is 5 superscript 6 written in expanded form? 5 + 5 + 5 + 5 + 5 + 5 5 times 5 times 5 times 5 times 5 times 5 6 + 6 + 6 + 6 + 6 6 times 6 times 6 times 6 times 6
Answer:
5 times 5 times 5 times 5 times 5 times 5
Step-by-step explanation:
[tex]5^6=\boxed{5\times 5\times 5\times 5\times 5\times 5}[/tex]
An exponent is used to signify repeated multiplication. It tells how many times the base is a factor of the product. Here, the base is 5, and it occurs 6 times in the product.
Answer:
5 times 5 times 5 times 5 times 5 times 5
Step-by-step explanation:
A car is traveling at a rate of 100 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answer:
62mph
Step-by-step explanation:
Answer: 250 miles
Step-by-step explanation:
100 kph = 62.5 mph
In 4 hours, the car will travel
62.5 x 4 = 250 miles
The sum of x and y is 7. The value of y is three more than the value of x. Write a system of equations to model this.
Answer:
x+y=7
y= x+3
Step-by-step explanation:
i just took the test
The system of the equation that represents the given condition will be x + y = 7 and y = x + 3. And the solution is (2, 5).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of x and y is 7. The value of y is three more than the value of x. Then the equation is given as,
x + y = 7 ...1
y = x + 3 ...2
From equations 1 and 2, then we have
x + x + 3 = 7
2x = 4
x = 2
Then the value of the variable 'y' will be given as,
y = 2 + 3
y = 5
The system of the equation that represents the given condition will be x + y = 7 and y = x + 3. And the solution is (2, 5).
More about the solution of the equation link is given below.
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Convert 0.396 to a fraction in its simplest form
Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b? 1. -15 2. -9 3. 3 4. 9
Answer:
-9
Step-by-step explanation:
What b represents here is the y intercept.
The first thing we will do here is to find the slope.
Mathematically;
m = (y2-y1)/(x2-x1)
Plugging the values;
m = (12-3)/(7-4) = 9/3 = 3
The equation can thus be written as;
y = 3x + b
To get b, we can use any of the points since they lie on the line
Let’s use point M
Substitute the values of x and y in the equation
3 = 3(4) + b
3 = 12 + b
b = 3-12 = -9
Answer:
B) -9
Step-by-step explanation:
Please mark as brainlest!!
What is the vertex and x intercepts of y=x^2-2x-35 Just answers pls :)
Answer:
x-int: (-5, 0), (7, 0)
vertex: (1, -36)
Step-by-step explanation:
Easiest and fastest way is to simply graph the equation and find what it's asking.
Ali and Beth divide £280 in the ratio 2 : 5
Work out how much each person gets.
Answer:
Ali =£80
Beth = £200
Step-by-step explanation:
In the picture
I hope it helps
Which of the binomials below is a factor of this trinomial?
6x2 - 6x - 72
O A. x-2
O B. x+ 2
O C. X-4
O D. X+4.
Answer:
C. x - 4
Step-by-step explanation:
The best way to do this is to first take out GCF
6(x² - x - 12)
Then we factor
6(x - 4)(x + 3)
We can now see our answer.
Answer:
6 ( x-4) (x+3)
Step-by-step explanation:
6x^2 - 6x - 72
factor out a 6
6 ( x^2 - x - 12)
What 2 number multiply to -12 and add to -1
-4*3 = -12
-4+3 = -1
6 ( x-4) (x+3)
Write this number using standard notation,
1.5 x 10 to the 6th power
Type the correct answer, then press Enter.
Hey there! :)
Answer:
1,500,000.
Step-by-step explanation:
Convert to standard notation by first deriving the value of 10 to the exponent given:
[tex]10^{6} = 1,000,000[/tex] (6 zeros)
Multiply:
1.5 × 1,000,000 = 1,500,000
can someone help please
Answer:
11/8 or, 1 and 3/8
Step-by-step explanation:
First, we have to make both the denominators the same. In this case, we can multiply 3/4 by 2, to make 4, the denominator, into 8. What we do to the denominator, we must do to the numerator! So, we multiply 3 by 2, and get 6!
Now we have, 5/8 + 6/8, which equals 11/8! Which can also be simplified to 1 and 3/8 (because the numerator is larger than the denominator)
Hope this helps! :)
Write your own word problem and share it with the group. Then translate your problem into its resulting math equation. What steps would you then follow to solve for the variable?
Step-by-step explanation:
Word Problems are mathematical problems presented in complete languages, rather than in mathematical notations.
Example:
A certain number is divided by half, the result is added to itself to give 6, what is the number?
Solution:
- Let the number be x
- Divide x by half:
In word problem, extra caution is to be taken, as misinterpretation can be very chaotic. Dividing a number by 2, is totally different from dividing the number by half.
4 divided by 2 is 4÷2 = 2
4 divided by half is 4÷½ = 4×2/1 = 8
2 and 8 are different, reason to be cautious.
So dividing x by half, we have:
x ÷ 1/2 = x × 2/1 = 2x.
- Now, what we have is
2x + x = 6
Solving this equation, we can obtain the value of x.
2x + x = 6
3x = 6
Dividing both sides by 3
3x/3 = 6/3
x = 2.
Therefore, the solution to the word problem is x = 2.
Melanie needs to cut a carpet with two angles that each measure 80° and two angles that each measure 100°. Name the quadrilaterals that could be the shape of the carpet.
Answer:
can be parallelogram as parallelogram has 2 pairs of parallel sides . this means angles of 2 sides will be the same
What are the asymptote and the Y intercept of the function shown in the graph f(x)=3(0.2)^x+2
the asymptote is y = 2 and the y - intercept is (0,5)
What is asymptote function?An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique. That is, as approaches from either the positive or negative side, the function approaches positive or negative infinity.
According to the question
The function reaches the y-axis at the point (0,5).
The asymptote is the line that the function follows but never quite reaches. In this case, the function follows the path of y = 2. However, it never exactly fits the line.
The y-intercept is (0,5) and the asymptote is y = 2. The answer, then, is B.
Hence, the asymptote is y = 2 and the y - intercept is (0,5)
To learn more about asymptote function from here
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Question is down below, best answer gets Brainliest! Good luck!
Answer:
976cm^2
Step-by-step explanation:
Surface area:
Ara of cross section x 2 = 1/2 x 2 x 14 x 24 = 14 x 24 = 336
Area of base = 14 x 10 = 140
area of slope x 2 = 25 x 10 x 2 = 500
Total surface area = 500+140+336 = 640 + 336 = 973cm^2
Answer:
976 cm^2
Step-by-step explanation:
Area of triangle: 1/2bh
Area of rectangle b×h
2 Triangular ends 12×14=168 each So 336
2 sides 10×25=250 each So 500
1 base 10×14=140
Add: 140+500+336=976 square centimeters
Which of the following theorems verifies that ABC~WXY?
Answer:
ABC~WXY by AA
Step-by-step explanation:
In ΔABC
∠B = 90°
∠A = 27°
To Find ∠C
Angle sum property: The sum of all angles of triangle is 180°
∠A+∠B+∠C=180°
27°+90°+∠C=180°
∠C=180°-117°
∠C=63°
In ΔWXY
∠X = 90°
∠Y = 63°
We will use angle sum property
So, ∠W+∠Y+∠X=180°
90°+63°+∠W=180°
∠W=180°-(90°+63°)
∠W=27°
So, ∠A=∠W
∠B =∠X
∠C = ∠Y
So, ABC~WXY by Angle - Angle property.
Hence ABC~WXY by AA