Answers
Option A: [tex]2^9[/tex]
Option E: [tex]2^{-2}.2^{11}[/tex]
Option F: [tex](2.2.2.2.2)(2.2.2.2)[/tex]
Solution:
Given expression is [tex]2^5.2^4[/tex].
To find which expression is equivalent to the given expression.
Option A: [tex]2^9[/tex]
Using exponent rule: [tex]a^b.a^c=a^{(b+c)}[/tex]
[tex]2^5.2^4=2^{(5+4)}=2^9[/tex]
Therefore [tex]2^9[/tex] is equivalent to the given expression.
Option B: [tex]2^{20}[/tex]
It is not equivalent to the given expression.
Option C: [tex]2.2^9[/tex]
[tex]2.2^9=2^{(1+9)}=2^{10}[/tex]
Therefore, It is not equivalent to the given expression.
Option D: [tex]2^{10}.2^2[/tex]
[tex]2^{10}.2^2=2^{(10+2)}=2^{12}[/tex]
Therefore, It is not equivalent to the given expression.
Option E: [tex]2^{-2}.2^{11}[/tex]
[tex]2^{-2}.2^{11}=2^{(2-11)}=2^9[/tex]
Therefore, It is equivalent to the given expression.
Option F: [tex](2.2.2.2.2)(2.2.2.2)[/tex]
[tex](2.2.2.2.2)(2.2.2.2)=2^5.2^4[/tex]
Therefore, It is equivalent to the given expression.
Hence option A, Option E and Option E are equivalent to the given expression.
Answer:
AEF
Step-by-step explanation:
Related Questions
Which numbers are the means of the proportion shown below?
2/3 = 20/30
Answers
Answer:
The means are 3 and 20.
Step-by-step explanation:
A proportion is simply a statement that two ratios are equal. In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.
Consider given proportion
Here, 2 and 30 are the extremes and 3 and 20 are the means.
Answer:the answer is below
Step-by-step explanation: 3 and 20
Briana has been offered a sales job in another city. The offer was for $42,500 plus 8% of her total sales. In order to make it worth the move, Briana needs to have an annual salary of at least $66,500. What would her total sales need to be for her to move?
Answers
Answer:
[tex]Total\ sales\ should\ be=\$ 300000[/tex]
Step-by-step explanation:
[tex]Let\ her\ total\ sale=x[/tex]
Total Earning:
[tex]The\ offer=\$ 42500\\\\Income\ from\ the\ sales=8\%\ of\ total\ sale\\\\Income\ from\ the\ sales=8\%\ of\ x\\\\Income\ from\ the\ sales=\frac{8}{100}\times x\\\\Income\ from\ the\ sales==0.08x\\\\Total\ earning=Offer+Income\ from\ the\ sales\\\\Total\ earning=42500+0.08x[/tex]
Required Earning=$66500
[tex]To\ move\ that\ city\\\\Total\ earning=required\ earning\\\\42500+0.08x=66500\\\\0.08x=66500-42500\\\\0.08x=24000\\\\x=\frac{24500}{0.08}\\\\x=300000\\\\Total\ sales\ should\ be=\$ 300000[/tex]
Her total sales would need to be at least $300,000 for her to move
Step-by-step explanation:
Briana has been offered a sales job in another city
The offer was for $42,500 plus 8% of her total salesBriana needs to have an annual salary of at least $66,500We need to find what would her total sales need to be for her to move
Assume that her total sales is x
∵ The offer was for $42,500 plus 8% of her total sales
∵ Her total sales = x
- To find her annual salary multiply x by 8% and add the
product to $42,500
∴ Her annual salary = 8% × x + 42,500
∵ 8% × x = [tex]\frac{8}{100}[/tex] × x = 0.08 x
∴ Her annual salary = 0.08 x + 42,500
∵ Briana needs to have an annual salary of at least $66,500
- At least means ≥
∴ Her annual salary ≥ 66,500
- Substitute her annual salary by the expression above
∴ 0.08 x + 42,500 ≥ 66,500
- Subtract 42,500 from both sides of inequality
∴ 0.08 x ≥ 24,000
- Divide both sides by 0.08
∴ x ≥ 300,000
∴ Her total sales ≥ $300,000
Her total sales would need to be at least $300,000 for her to move
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Natasha has a red and a white sweater. She can wear with a blue skirt, yellow skirt and a black skirt. How many different combinations can she make
Answers
Natasha can make 6 different combinations by pairing 2 sweaters with 3 skirts. She can pair each of her red and white sweaters with each of her blue, yellow, and black skirts.
Explanation:Natasha has a red sweater and a white sweater that she wants to pair with a blue skirt, yellow skirt, and a black skirt. To determine the number of different combinations she can make, we use basic combinatorics. Each sweater can be paired with any of the skirts, so we multiply the number of sweaters by the number of skirts.
Here is the calculation:
Number of sweaters: 2 (red and white)Number of skirts: 3 (blue, yellow, and black)Thus, Natasha can make 2 sweaters imes 3 skirts = 6 combinations.
These combinations are:
Red sweater with blue skirtRed sweater with yellow skirtRed sweater with black skirtWhite sweater with blue skirtWhite sweater with yellow skirtWhite sweater with black skirtx=9y
5x+3y= -48
What does x equal?
What does y equal?
Answers
you can plug the x value (9y) into the second equation
5(9y) + 3y = -48
45y + 3y = -48
48y = -48
y = -1
x = 9(-1)
x = -9
Answer:
x = 9
y = -31
Step-by-step explanation:
5x+3y
y = -31
x = 9
plug it in
A scientist studied a population of 300 lizards. It was revealed that 25/300 lizards had red spots on their back. Based on the results of her study, how many lizards in the population did NOT have spots on their backs
Answers
Answer:
[tex]\frac{11}{12}[/tex]
Step-by-step explanation:
300 - 25 = 275
275/300 = 11/12 simplified
Answer:
11/12
Step-by-step explanation:
-4h - 3 < 9
h < 12
h > -3
h < -3
h > -12
Answers
The solution of the inequality is h > -3 ⇒ 2nd answer
Step-by-step explanation:
Let us revise very important notes about solving inequalities
You can add and subtract both sides of inequality by a number without change the sign of inequalityYou can multiply or divide both sides of inequality by a positive number without change the sign of inequalityYou can multiply or divide both sides of inequality by a negative number with change the sign of inequality (-2x < 4 ⇒ ÷ (-2) makes it x > -2)∵ -4 h - 3 < 9
- Start with adding both sides by 3 to separate the variable
in one side and the numerical term in the other side of the
inequality sign
∴ -4 h - 3 + 3 < 9 + 3
∴ -4 h < 12
- Now divide both sides by -4 and use the last note above
∵ -4 ÷ -4 = 1
∵ 12 ÷ -4 = -3
∵ < must change to > (because we divide both sides by (-) number
∴ h > -3
The solution of the inequality is h > -3
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Answer:
h> -3
Step-by-step explanation:
math help
simplify. your awnser should contain only positive exponents with no fractional exponents in the denominator
Answers
The solution using laws of exponents is: [tex]y^{\frac{7}{12} } * z^{\frac{1}{2} }[/tex]
How to use laws of exponents?
Some of the laws of exponents are:
- When multiplying by like bases, keep the same bases and add exponents.
- When raising a base to a power of another, keep the same base and multiply by the exponent.
- If dividing by equal bases, keep the same base and subtract the denominator exponent from the numerator exponent.
The expression we want to solve is given as:
[tex]\frac{(x^{-\frac{3}{2} } y^{\frac{5}{3} } z^{-1})^{-1} }{zx^{\frac{3}{2} } y^{-\frac{1}{4} } * y^{-2} z^{\frac{1}{2} } }[/tex]
Using laws of exponents, we have:
[tex]x^{0} * y^{\frac{7}{12} } * z^{\frac{1}{2} }[/tex]
=[tex]y^{\frac{7}{12} } * z^{\frac{1}{2} }[/tex]
7 is underlined 0.673 is the place value for 7
Answers
Add the linear expressions. 2x + 1 and x + 2
Answers
Answer:
3(x + 1)
Step-by-step explanation:
By adding
(2x + 1) + (x+2)
2x +1 +x +2
3x + 3 or 3(x + 1)
2x +x +1+2
3x +3
You found an apartment you really
like. The rent is $625 per month. This is 25% of your
monthly income. How much is your monthly income?
Answers
Answer:
$2500
Step-by-step explanation:
25% is one fourth of the total monthly income.
If $625 is = x/4 then multiply both sides of the equation with 4
4 × 625 = x/4 × 4 ➡ 2500 = x
X-5/5+10 simplify this algebraic expression
Answers
Answer: X - 5 ÷ 15
Step-by-step explanation: The first step to algebra is to collect like terms. Since X is an a variable, we cannot solve X - 5. But we can solve 5 + 10, since those are both numbers. 5 + 10 is 15. So therefore, your simplified expression would be X -5 ÷ 15.
Hope this helps! Please correct me if I'm wrong! :D
Break 42 into 7 equal fractions
Answers
Answer:
42/7 = 6.00
6.00 x 7 = 42
6.00 is fraction for 42.
Step-by-step explanation:
42 divided b 7 is 6.
What is ×7 9/27 reduced to lowest term
Answers
Answer:
[tex]2 \frac{1}{3} [/tex]
Step-by-step explanation:
Assuming the question is
[tex]7 \times \frac{9}{27} [/tex]
reduced to the lowest term.
We proceed as follows:
[tex]7 \times \frac{9}{3 \times 9} [/tex]
We cancel the common factors to get:
[tex]7 \times \frac{1}{3} [/tex]
This simplifies to
[tex] \frac{7}{3} = 2 \frac{1}{3} [/tex]
Veronica tried to solve an equation step by step. \begin{aligned} 8&=y-4.6\\\\ 8+4.6&=y-4.6+4.6&\green{\text{Step } 1}\\\\ 12.6&=y&\blue{\text{Step } 2} \end{aligned} 8 8+4.6 12.6 =y−4.6 =y−4.6+4.6 =y Step 1 Step 2 Find Veronica's mistake.
Answers
Answer:
she did not make a mistake
Step-by-step explanation:
Answer:
veronica didn't make a mistake.
Step-by-step explanation:
Is 40/48 proportional to 56/42
Answers
Answer:
To find if something is proportional you want to reduce them to there simplest form, so we want to reduce each fraction down
40/48= 5/6
56/42= 8/7
Therefore; these two fractions are not proportional because they reduce to different numbers
Hope this helps ;)
Answer:
no
Step-by-step explanation:
Cross multiply:
40 * 42 = 48 * 56
Simplifying
40 * 42 = 48 * 56
Multiply 40 * 42
1680 = 48 * 56
Multiply 48 * 56
1680 = 2688
Solving
1680 = 2688
Angel walked 1.34 miles from home to school. He then walked 2.12 miles from school to the park. Finally, he walked 1.94 miles from the park back home. Which trip was the furthest distance? Which trip was the shortest distance?
Answers
Answer:
The furthest distance was 2.12 miles from school to the park.
The shortest distance was 1.34 miles from home to school.
The furthest distance was from school to the park, and the shortest distance was from home to school.
Explanation:In order to determine which trip was the furthest distance and which trip was the shortest distance, we need to compare the distances of each trip. Angel walked 1.34 miles from home to school, 2.12 miles from school to the park, and 1.94 miles from the park back home.
Comparing the distances, we can see that the trip from school to the park (2.12 miles) was the furthest distance, while the trip from home to school (1.34 miles) was the shortest distance.
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Sheila mixed 3 ounces of blue paint with
2 ounces of yellow paint. She decided to
create 20 ounces of the same mixture. How
many ounces of yellow paint does Sheila
need for the new mixture?
Answers
Answer:
she needs 6 ouonces of yellow paint
Step-by-step explanation:
she has 5oz, 3 blue: 2 red, she needs 20oz. which means she needs 15oz more. 15/5=3. 3*2=6
Help pls will mark brainlist !! :)
Answers
Answer:
144 cubic inches
Step-by-step explanation:
a=lxwxh a=6*6*4
Yo sup??
we should know that the volume of a cuboid is l*b*h
from the given figure we can say that
l=6 inches
b=6 inches
h=4 inches
therefore
V=6*6*4
=144 inches^3
therefore the correct answer is option C
Hope this helps.
which of the following is not a common procedure leading to foodborne illness:
a. undercooked foods
b. poor personal hygiene
c. overcooked foods
d. food held at improper temp
Answers
C overcooked foods will not
The statement which is not a common procedure leading to foodborne illness is overcooked foods, the correct option is C.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
Four options related to foodborne illness
Now,
Out of the four options you gave only one is not a common procedure leading to foodborne illness:
a. undercooked foods b. poor personal hygiene c. overcooked foods d. food held at improper temperature
Overcooked foods may lose some of their nutritional value or taste but they are unlikely to cause foodborne illness unless they are burned or charred which can produce harmful chemicals such as acrylamide or polycyclic aromatic hydrocarbons (PAHs). However this is not a common procedure leading to foodborne illness compared to the other options.
Therefore, by unitary method the answer will be overcooked foods.
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find the lateral area of the figure
Answers
Answer:
you just have to add or divide
Tanya went to Robs diner for lunch and received the bill for her meal even though the receipt was ripped she still knew that the sales tax was 6.5%. how much is the total for her meal after the sales tax is added to the subtotal of $8.50?
Answers
Answer:
Therefore total for her male after the sales tax is added to the subtotal of $8.50 is = $(8.50+0.55) = $9.05
Step-by-step explanation:
Given the sales tax was 6.5%.
The sales tax for Tanya's meal is [tex]=\$ \frac{6.5}{100}\times 8.50[/tex]
= $0.55
Therefore total for her male after the sales tax is added to the subtotal of $8.50 is = $(8.50+0.55) = $9.05
Solve for n: -4 (3n+3) = 5 (-2-6n) -2
Answers
Answer:
Step-by-step explanation:
-12n - 12 = -10 - 30n - 2
-12n - 12 = -12 - 30n
-12n = -30n
-12n +30n = 0
18n = 0
n = 0
Answer:
-12n- 20 = -10 - 30n - 2
-12n - 20 = -12 - 30n
18n - 20 = -12
18n = 18
n = 1
Which pair of expressions below is equivalent?
A. 9x+2y and 11xy
B. 4x-5y and 5y-4x
C. 5(2x-3y) and 10x-3y
D. X+y+x+y and 2(x+y)
Answers
because you can’t add or subtract unlike terms for A and B meaning the equations wouldn’t change
for C it would be 10x-15y not -3y
D) x+y+x+y=2x+2y
2(x+y)= 2x+2y
Which situation described relates to the graph?
A)A small pizza cost $2, and each topping costs an additional $6.
B)A small pizza cost $4, and each topping costs an additional $2.
C)A small pizza cost $6, and each topping costs an additional $2.
D)A small pizza cost $6 and each topping costs an additional $4.
Answers
Answer:
C) A small pizza cost $4, and each topping costs and additional $2.
Step-by-step explanation:
Answer:
A small pizza cost $6, and each topping costs an additional $2.
Why does 5x2/3 =10x1/3
Answers
Explanation of how to simplify expressions with exponents by subtracting exponents. The answer shows the equivalence of 5×2/3 and 10×1/3.
The expression [tex]( \frac{5 \times 2}{3} )[/tex] equals [tex]( \frac{10}{3} )[/tex]. Let's break it down:
[tex]\( \frac{5 \times 2}{3} \)[/tex] means you multiply 5 and 2 first, which gives you 10, then you divide by 3, resulting in [tex]\( \frac{10}{3} \)[/tex].
However, if you're asking why [tex]\( \frac{5 \times 2}{3} \)[/tex] and [tex]\( 10 \times \frac{1}{3} \)[/tex] are equal, it's because multiplication is distributive over division.
In other words, [tex]\( a \times \frac{b}{c} = \frac{a \times b}{c} \)[/tex].
So, [tex]\( 10 \times \frac{1}{3} \)[/tex] can be written as [tex]\( \frac{10 \times 1}{3} \)[/tex], which simplifies to [tex]\( \frac{10}{3} \)[/tex], the same as [tex]\( \frac{5 \times 2}{3} \)[/tex].
After school, Camille had a science club meeting for 1 hour, followed by a choir rehearsal that lasted for 40 minutes. If Camille got out of school at 2:00 P.M., what time did the choir rehearsal end?
Answers
Answer:3:40 pm
Step-by-step explanation:
Unemployment is the ratio of
A. unemployed workers to employed workers
B. unemployed workers to total workers
C. workers to total population
D. workers to nonworkers
Answers
Answer:
C. Workers to total population.
Unemployment is defined as the condition of people who are able to work but cannot find jobs. The unemployment ratio is most accurately described by option B: 'unemployed workers to total workers'. This does not include people who are not part of the labor force.
Explanation:Unemployment is defined as the condition in which people who are able and willing to work cannot find jobs. In terms of the provided options, unemployment is best defined by option B: 'unemployed workers to total workers'. This is because the unemployment rate is calculated by dividing the number of unemployed individuals by the total number of individuals in the labor force (which includes both the employed and the unemployed) and then multiplying by 100 to get a percentage.
This measure gives a good representation of the number of people who are jobless compared to the overall amount of people who are either working or actively seeking work. It's important to keep in mind that it doesn't include people who are not part of the labor force, like children, retirees, and others who are not looking for work.
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PLZ HELP WILL GIVE 10 PTS + BRAINLIEST THX SO SO SO SO SO SO MUCH!!!!
If (6^2)^p = 6^10, what is the value of p?
a. 2
b. 3
c. 4
d. 5
ty! :D
Answers
Answer:
d. 5
Step-by-step explanation:
House prices in a certain area went
up by 150% between 1995 and 2005.
The price of a house in the area was
£180 000 in 2005.
What was its price in 1995?
Answers
Answer:
£60000
Step-by-step explanation:
The difference of 5 and n cubed
Answers
Answer:
6n
Step-by-step explanation:
Final answer:
The difference of 5 and n cubed is calculated by subtracting n cubed from 5. This involves simple algebraic manipulation.
Explanation:
The difference of 5 and n cubed can be represented as 5 - n³. This means subtracting the cube of the variable n from 5.
To illustrate, if n=2, the calculation would be 5 - 2³ = 5 - 8 = -3.
Therefore, the result of the difference between 5 and n cubed is 5 - n³.