Given:
Consider the given expression is
[tex]5^{-\frac{5}{2}}\times 5^{\frac{9}{2}}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]5^{-\frac{5}{2}}\times 5^{\frac{9}{2}}[/tex]
Using properties of exponents, we get
[tex]=5^{-\frac{5}{2}+\frac{9}{2}}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]=5^{\frac{-5+9}{2}}[/tex]
[tex]=5^{\frac{4}{2}}[/tex]
[tex]=5^{2}[/tex]
[tex]=25[/tex]
Therefore, the simplified form of given expression is 25.
If 5 candy bars weigh 40 ounces, what is the weight of 15 candy bars in
ounces
Answer:
Try 120
Step-by-step explanation:
5 times 8 equal 40
15 times 8= 120
Two points, a and b, are graphed on the number line below. Maynard says there is not
enough information to write an inequality statement comparing a and b. Which statement
explains whether or not Maynard is correct?
Answer:b
Step-by-step explanation:
Maynard is incorrect on the number line a is to the left of b thus a < b can be represented thus option (A) is correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given number line,
If a number is going to the left of a number line then it will become lower and lower.
Since a is on the left of b so a < b.
It is also obtained that a is less than 0 so it will be negative while b will be positive since all negative value is less than positive thus a < b will be correct.
Hence "Maynard is mistaken since an is to the left of b on the number line, which can be expressed as a b".
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Which statement is correct?
A 10 quarts > 2.5 gallons
B 10 quarts < 2.5 gallons
C 10 quarts = 2.5 gallons
Answer:
the answer is C
Step-by-step explanation:
2.5 gallons are equal to 10 quarts
Patrick is responsible for choosing the company his local community group will use for having T-shirts printed. He must choose between Initial Me and Monogram Mania. Both companies charge an initial set-up fee and then charge per T-shirt printed.
The graph shows the cost of purchasing T-shirts from Initial Me and the cost of purchasing T-shirts from Monogram Mania.
Which statements are true about Initial Me and Monogram Mania?
Select each correct answer.
Initial Me charges $8 per T-shirt printed.
The two companies will cost the same if 130 T-shirts are purchased.
Patrick should choose Initial Me because it will cost less regardless of the number of T-shirts printed.
Monogram Mania charges less per T-shirt printed than Initial Me charges.
The initial fee charged by Monogram Mania is $50.
The initial fee charged by Initial Me is $80.
Give too the most brainlyist
Answer:
1. Initial Me charges $8 per T-shirt printed.
2. Monogram Mania charges less per T-shirt printed than Initial Me charges.
The answer is Monogram Mania charges less per T-shirt printed than Initial Me charges.
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: Two T-shirt brands Initial me and monogram mania
Clearly from the graph we can observe that the slope of monogram is not as steep as initial me which indicates that Monogram Mania charges less per T-shirt printed than Initial Me charges.
Hence, The answer is Monogram Mania charges less per T-shirt printed than Initial Me charges.
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Which description best compares the graphs of the two functions below I ready
Answer:
Some of your pic is cut off so it's difficult to give the exact answer. But if you plot the points from the table you get that the equation for that set of data is linear and is y = 1/3x -2. This tells me that the y-intercepts are the same for both equations, so your answer is not the first or the third. Because the slope of the function A is 3 and for B is 1/3, the line for function A is steeper, the second of your choices above.
Find a current example of a linear optimization model used in your industry. Describe the industry's needs, including any unique factors, how the linear optimization model was used, and the problem or challenge it addressed. Would you suggest a different model be used
Answer:
Follows are the explanation to the given question:
Step-by-step explanation:
Its determination of inventory amounts for various products. Its demand is an excellent illustration of a dynamic optimization model used in my businesses. Throughout this case, its store has restrictions within this room are limited. There are only 100 bottles of beverages to be sold, for instance, so there is a market restriction that no one can sell upwards of 50 plastic cups, 30 power beverages, and 40 nutritional cokes. Throughout this situation, these goods, even the maximum quantity supplied is 30, 18, and 28. The profit for each unit is $1, $1.4, and $0.8, etc. With each form of soft drink to also be calculated, a linear extra value is thus necessary.
Without completing decide whether the value of each expression is on is much smaller than 1 close to 1 or much greater than 1
Answer:
Step-by-step explanation:
1) Larger
2) Less/Close
3) Less
4) Less
5)Less
6) Close
here is a tip if you need help with a question use
the mathhhhhh wayyyy
-2 1/4 divided by (-1 1/2)
Answer:
1.5
Step-by-step explanation:
Answer:
1 1/2
Step-by-step explanation:
-2 1/4 = [tex]-\frac{(2*4)+1}{4}= -\frac{9}{4}[/tex]
-1 1/2 = [tex]-\frac{(1*2)+1}{2}=-\frac{3}{2}[/tex]
-2 1/4 ÷ -1 1/2 = [tex]-\frac{9}{4} * -\frac{2}{3}[/tex]
= [tex]\frac{3}{2}[/tex]
= 1 1/2
Use KCF method
Keep the first number.
Change division to multiplication
Flip the second number
Tv= $350 discount = 25%
which equation has x=5 as the solution?
1. x + 15 = 10
2. 2x = 5
3. 2x = 10
Answer:
Number 3
Step-by-step explanation:
2 * 5 = 10
Answer: Answer 3
Step-by-step explanation:
2(5)=10
10=10
Carlos is shopping for school supplies. He bought a pencil box for $3, and he also needs to buy notebooks. Each notebook is $2. Let represent the total cost of the supplies and be the number of notebooks Carlos buys.
1) Determine which variable is independent and which is dependent.
2) Write an equation that models the situation.
please help me this is due today
Answer: y = 2x + 3, The notebooks are independent and the total price is dependent.
4) Alen has been saving for a video game. Last year it cost $28. This year it
Costs $36. Find the percent of change in the cost, round to the nearest
Whole percent
Answer:
15% i think
Step-by-step explanation:
I HOPE ITS HELP
Benjamin correctly graphed the quadratic function y = -3x2 + 5. Which of these is true of Benjamin's graph? A. The graph of the function is a line. B. The graph has a vertex at (0, -5). C. The graph has a maximum value at (0, 5). D. The graph is much wider than the original parent function y = x2.
Its C the graph has a maximum value at (0,5)
The graph has the shape of a parabola with vertex (maximum value) at point (0, 5)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the quadratic function y = -3x² + 5:
The graph has the shape of a parabola with vertex (maximum value) at point (0, 5).
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Find the area of the trapezoid,
21 m
7 m
21 m
o
A. 1543.5 m
<
OB. 220.5 m?
C. 294 m?
O D. 588 m?
1. 014 Answered
Please help
Answer:
The answer is 294 which is C
Step-by-step explanation:
someone please help....
Asap ILL GIVE 20 points
Answer:
5Y+8
Step-by-step explanation:
Answer:5 y +40
Step-by-step explanation: you do 5 times y which is 5y and do 5 times 8 which is 40. And add them together.
The measure of is 150°. What is the value of ?
30°
90°
120°
210°
it is 120 value...............................
help me pls need help
Answer:
I
Step-by-step explanation:
A cookie factory makes 5 types of cookies. Each day,
the factory makes 610,298 of each type of cookie.
How many cookies does the factory make each day?
Plz help
Answer:
3,051,490 cookies/day
Step-by-step explanation:
Do 610,298 x 5
Answer:3,051,490
Step-by-step explanation:
They make 610,298 of each type of cookie. There are 5 different cookies. So there are 5 groups of 610,298. 610,298×5=3,051,490.
I hope I helped, have an awesome day!! :3
Find the unit rate. 75 minutes for 3 assignments
Answer:
25 minutes per assignments
Step-by-step explanation:
you just divide 75 but 3 to know how much it take to do one assignment
What is the value of (-1/2)^-4?
O-16
1/16
1/16
O 16
Answer: answer is 16
Step-by-step explanation:
Got it right on edge
11)
linear function
ху
94
30
-3
-4
-9-8
The values in the table represent a linear function. How does the value of y change in relation to a change in the
value of x?
A)
for every change in x by -6, y changes by 4
B)
for every change in x by 6, y changes by -4
for every change in x by -4, y changes by-6
D)
for every change in x by-6, y changes by -4
Answer:
For every change in x by -6, there is a corresponding change in y by -4
Step-by-step explanation:
Given
x ---- y
9 --- 4
3 --- 0
-3 -- -4
-9 -- -8
Required
Determine the rate of change
To do this, we simply get an expression for the slope.
Take any two corresponding x and y values.
[tex](x_1,y_1)= (9,4)[/tex]
[tex](x_2,y_2)= (3,0)[/tex]
The slope (m) is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{0 - 4}{3 - 9}[/tex]
[tex]m = \frac{- 4}{-6}[/tex]
This can then be represented as:
[tex]\frac{y_2 - y_1}{x_2 - x_1} = \frac{- 4}{-6}[/tex]
It means that:
For every change in x by -6, there is a corresponding change in y by -4
Help with this please!!!!!
In the given figure ΔEGH ≈ ΔEDF (similar triangle) thus, the measure of the GH will be 47.
What is symmetry?If two figures look an exact shape but their size could be small or big then both figures are called similar figures.
For example, a square with a side of 10 cm and another with a side of 20 cm both square will be similar.
When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.
The given triangles ΔEGH ≈ ΔEDF therefore, the ratio of the corresponding sides must be the same.
EH/EF = GH/DF
EH/(EH + HF) = (3x - 4)/(9x - 59)
EH/(2EH) = (3x - 4)/(9x - 59)
1/2 = (3x - 4)/(9x - 59)
9x - 59 = 2(3x - 4)
9x - 59 = 6x - 8
9x - 6x = -8 + 59
3x = 51
x = 17
Therefore,GH = 3(17) - 4 = 47
Hence "In the given figure ΔEGH ≈ ΔEDF (similar triangle) thus, the measure of the GH will be 47".
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Sandy purchases her college books for the upcoming semester. She has to pay $98
for a biology book, $38 for a used poetry book, and $74 for a trigonometry
textbook. If the sales tax rate is 7.5%, how much tax will Sandy pay?
Step-by-step explanation:
98+38+74=210
210 divided by 100= 2.1
2.1 times 7.5= $15.75
Sandy will pay $15.75 dollars in tax
Answer:
15.75
Step-by-step explanation:
is the triangle congruent to triangle a? if so how?
Answer:
Step-by-step explanation:
1 and triangle A is congruent by Angle Side Angle congruent.
2 and triangle A is congruent by Side Side Side congruent.
3 and triangle A is congruent by Angle Side Angle congruent.
Anybody can help with these 2 I would really appreciate it for my last grade
Answer:
575x.25=143.75 575-143.75=$431.25
21.95x.15=$3.29 tip total bill $25.24
Step-by-step explanation:
given the parralegram find the measure of
Answer:
can i get a picture??-
Step-by-step explanation:
List the numbers of any angles that are congruent to the given angle
Answer:
3 4 and 5
Step-by-step explanation:
The two lines are equal so 3 = 95 and 5 is opposite of 95 and 4 is opposite of 3.
Y=3x-1 is dilated by a scale factor of 4 and center at the origin what is the equation that represents the image of the line after the dilation
Answer: x=1/3y+1/3
Step-by-step explanation: Step 1: Flip the equation. 3x−1=y Step 2: Add 1 to both sides. 3x−1+1=y+1/3x=y+1 Step 3: Divide both sides by 3. 3x/3 = y+1/3 x= 1/3 y+ 1/3
PLZ HELP
-3/8 divided by -1/4
-3/8 ÷ -1/4 = -3/8 *-4/1= 12/8 = 1 4/8, 1 1/2
Ciana wants to buy a shirt that regularly cost 30$.It is on sale for 40$ off. How much is Ciana saving on the shirt?Please help ASAP
Answer:
I think you meant 40% off. If so...
Step-by-step explanation:
First, you have to turn 40 into a decimal - .40.
Then you multiply 30*.40 and get 12.
Subtract 12 from 30 since you are saving 12 dollars.
This means you spend $18 and saved $12.
So, your final answer would be $12.
Hope this helps :)