Answer:
Square root of 8.
Step-by-step explanation:
Given:
Number given : 2 to the power of 3 over 2 equal ...
Using the laws of exponent:
We know that:
⇒ [tex]\sqrt{a} = (a)^1^/^2[/tex] and
⇒ [tex]\sqrt[3]{a}=(a)^1^/^3[/tex]
So,
According to the question:
2 to the power of 3 over 2 = [tex](2) ^3^/^2[/tex]
Using fractional exponent concept where : [tex]\sqrt[y]{a^x} = (a)^x^/^y[/tex]
This can be re-written as:
⇒ [tex](2^3)^1^/^2[/tex] and [tex]\sqrt{2^3}[/tex] that is equivalent to [tex]\sqrt{8}[/tex] as ...[tex]2^3=2\times 2\times 2=8[/tex]
Square root of 8 is our final answer.
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?
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
Learn more:
You can learn more about the word problems in brainly.com/question/10557938
#LearnwithBrainly
find the lateral area of the figure
Answer:
you just have to add or divide
Circle assignment! THANKS so much its worth so much of my grade
Answer:
1. B) Figure B.
2. C) Figure C.
3. D) Figure D.
4. C) Figure C.
Step-by-step explanation:
Given: Radius of Circle A= 4
Radius of Circle B= 5
Radius of circle C= 6
Radius of circle D= 7
Now, finding circumference and area of all the circle.
We know, circumference of circle= [tex]2\pi r[/tex]
Area of circle= [tex]\pi r^{2}[/tex]
Where, r= radius of circle and π = 3.14
First, solving for figure A
Circumference= [tex]2\times 3.14\times 4= 25.12\ cm[/tex]
Area= [tex]3.14\times 4^{2} = 50.24\ cm^{2}[/tex]
Solving for Figure B
Circumference= [tex]2\times 3.14\times 6= 31.4\ cm[/tex]
Area= [tex]3.14\times 5^{2} = 78.5\ cm^{2}[/tex]
Solving for Figure C
Circumference= [tex]2\times 3.14\times 6= 37.68\ cm[/tex]
Area= [tex]3.14\times 6^{2} = 113.04\ cm^{2}[/tex]
Solving for Figure D
Circumference= [tex]2\times 3.14\times 7= 43.96\ cm[/tex]
Area= [tex]3.14\times 7^{2} = 153.86\ cm^{2}[/tex]
∴ 1. Answer is Figure B.
2. Answer is figure C.
3. Answer is Figure D
4. Answer is Figure C.
Why does 5x2/3 =10x1/3
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].
Write an equation in slope-intercept form with a slope of 1 and a y-intercept of (0, -7).
Answer:
y = x - 7
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 = 1 and c = - 7, thus
y = x - 7 ← equation of line
what is 1.498 divived by 30. plz show your work.
Answer:
[tex]0.0749[/tex]
Step-by-step explanation:
[tex]1.498/30[/tex]
To divide the form directly in fraction divide the numerator and denominator by a common number to simplify the values.
Simplifying the value
Removing the decimal in the numerator makes 1000 in denominator
[tex]\frac{1498}{30}*\frac{1}{1000}[/tex]
dividing by a common value i.e 2
[tex]\frac{749}{10}*\frac{1}{1000}[/tex]
Now, removing the decimals from denominator puts the decimal in the numerator gives [tex]0.0749[/tex]
Answer:
1.498 divided by 30 equals 749/15000 OR 0.04993
Step-by-step explanation:
Simply divide as you would a whole number, but place the decimal point above in your answer. So, your first step would be to calculate how many times 30 goes into 149. Your answer will go two places AFTER your decimal point. Then you continue to solve, as you would a whole number!
How can fishermen save gas
A fishermen can save gas by implementing the strategies Plan Efficient Routes, Maintain Proper Boat Speed, Reduce Idle Time, Optimize Load and Equipment and Regular Maintenance
Fishermen can save gas by implementing the following strategies:
Plan Efficient Routes: By planning their fishing trips in advance and mapping out efficient routes, fishermen can minimize the distance traveled and save on gas consumption.
Maintain Proper Boat Speed: Operating the boat at an appropriate speed can significantly impact fuel efficiency.
Reduce Idle Time: Minimizing idle time while on the water can help save gas.
Optimize Load and Equipment: Carrying excessive weight on the boat can increase fuel consumption.
Regular Maintenance: Keeping the boat and engine properly maintained is essential for fuel efficiency.
Utilize Wind and Tides: When feasible, fishermen can take advantage of wind and tidal currents to reduce reliance on the engine.
Share Resources: Collaborating with other fishermen or joining fishing cooperatives can help share resources and reduce individual fuel consumption.
To learn more on Resources click:
https://brainly.com/question/31971940
#SPJ6
Will has 40 state quarters if 3/5 of his quarters are dated 2005 what is the value of the quarters from 2005?
Will has 24 quarters from 2005, which means the total value of these quarters equals to $6.
Explanation:Will has 40 state quarters in total. If 3/5 of them are from 2005, this simply means that you need to find 3/5 of 40. So, we multiply 40 by 3/5:
40 * 3/5 = 24.
So, Will has 24 quarters from the year 2005.
Next, to find the value of these quarters, remember that each quarter is worth 25 cents (or $0.25 in dollar form). Therefore, we multiply the number of quarters (24) by the value of each quarter (.25):
24 * 0.25 = $6.
So, the total value of the quarters from 2005 is $6.
Learn more about Proportional Reasoning here:https://brainly.com/question/28001172
#SPJ12
Write the expression in complete factored form. 4a(x-9)-7(x-9)=
Answer:
[tex]4a(x-9)-7(x-9)=(x-9)[4a-7][/tex]
Step-by-step explanation:
we have the expression
[tex]4a(x-9)-7(x-9)[/tex]
Factor the term (x-9)
so
[tex](x-9)[4a-7][/tex]
therefore
[tex]4a(x-9)-7(x-9)=(x-9)[4a-7][/tex]
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.
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.
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.
Answer:
she did not make a mistake
Step-by-step explanation:
Answer:
veronica didn't make a mistake.
Step-by-step explanation:
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)
Simplify the expression. 28 + 18 ÷ 6 • (–3)
19 27 –23 –93
What is ×7 9/27 reduced to lowest term
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]
Is 40/48 proportional to 56/42
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
If y = 2x - 1 and (3, 5) and (4.7) are part of the pattern then what is the y coordinate of (5, _ )?
Answer:
y = 9
Step-by-step explanation:
Substitute the x- coordinate of the point into the equation and solve for y, that is
y = 2(5) - 1 = 10 - 1 = 9
Thus point is (5, 9 )
What is 35 divided by 3.14
Which equation can be used to find 40 percent of 25?
Answer:
a=40% · 25
a=0.40 · 25
0.40 · 25= 10
a=10
Step-by-step explanation:
Answer:
Would be 25/10
Step-by-step explanation:
solve y= 2/3x +7 and 3y= 2x -3
Answer:
The system has no solution
Step-by-step explanation:
we have
[tex]y=\frac{2}{3}x+7[/tex] ----> equation A
[tex]3y=2x-3[/tex]
Isolate the variable y
Divide by 3 both sides
[tex]y=\frac{2}{3}x-1[/tex] ------> equation B
Compare equation A and equation B
Both lines have the same slope and different y-intercept
so
Line A and Line B are parallel lines
The lines do not intersect
therefore
The system has no solution, because both lines are parallel
see the attached figure to better understand the problem
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
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 skirtWhat is the significance of the point of intersection of a pair of simultaneous equations
Answer:
The point of intersection gives the solution set(s) of the associated system.
Step-by-step explanation:
If we have a pair of simultaneous equations in 2 variables in x and y, then the point of intersection is the ordered pair (x,y).
This could be a unique intersection, only one point or infinitely many intersection.
This gives us the solution of the simultaneous equations.
Therefore the significance of the point of intersection of a pair of simultaneous equations is that, it gives us the solution set(s) of the associated system.
On Tuesday James bought seven CDs. On Wednesday half of all the CDs that he had were destroyed. On Thursday he had 12 left. How many did he have on Monday?
Answer:
He have 17 CDs on Monday.
Step-by-step explanation:
Given:
On Tuesday James bought seven CDs. On Wednesday half of all the CDs that he had were destroyed. On Thursday he had 12 left.
Now, to find the CDs he have on Monday.
Let the CDs he have on Monday be [tex]x.[/tex]
So, on Tuesday as James bought 7 CDs:
[tex]x+7.[/tex]
Now, on Wednesday half of all the CDs that he had were destroyed:
[tex]\frac{x+7}{2}[/tex]
As, given on Thursday he had left CDs = 12.
According to question:
[tex]\frac{x+7}{2}[/tex] [tex]=12[/tex]
Multiplying both sides by 2 we get:
[tex]x+7=24[/tex]
Subtracting both sides by 7 we get:
[tex]x=17.[/tex]
Therefore, he have 17 CDs on Monday.
The computer store pays its employees $150 per day plus a commission of 15% of their sales. Teagan wants to make at least $450 today. Which equation will help Teagan determine how much he has to sell today? A. 0.15x + 150 ≥ 450 B. 150 – 0.15x ≥ 450 C. 450 – 0.15x ≥ 150 D. 0.15x – 450 ≥ 15
The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today ⇒ A
Step-by-step explanation:
The given is:
The computer store pays its employees $150 per day plus a commission of 15% of their salesTeagan wants to make at least $450 todayWe need to find which equation will help Teagan to determine how much he has to sell today
Assume that he has to sell by $x today
∵ The store pays $150 per day plus a commission of 15%
of their sales
∵ Teagan's total sales = x
- Multiply 15% by x, then add the product by 150
∴ Teagan makes = 15% × x + 150
∵ 15% × x = [tex]\frac{15}{100}[/tex] × x = 0.15 x
∴ Teagan makes = 0.15 x + 150
∵ Teagan wants to make at least $450 today
- At least means ≥
∴ Teagan makes ≥ 450
- Substitute Teagan makes by 0.15 x + 150
∴ 0.15 x + 150 ≥ 450
The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today
Learn more:
You can learn more about the linear inequality in brainly.com/question/6703816
#LearnwithBrainly
Answer:
you mean A
Step-by-step explanation:
The difference between of two numbers is 9. If the large number is one more than twice the smaller number, find the larger number.
The larger number is 17
Solution:
Let "x" be the larger number
Let "y" be the smaller number
The difference between of two numbers is 9
Therefore,
larger number - smaller number = 9
x - y = 9 -------- eqn 1
The large number is one more than twice the smaller number
Larger number = 1 + 2(smaller number)
x = 1 + 2y ------ eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
1 + 2y - y = 9
1 + y = 9
y = 9 - 1
y = 8
Substitute y = 8 in eqn 1
x - 8 = 9
x = 8 + 9
x = 17
Thus the larger number is 17
PLZ HELP!!! I need the answer by tomorrow. I will give points cuz I don't know how to mark the brainliest.
Answer:
U'(-5, -2), V'(-3, -1), W'(-3, 3), Z'(-5, 6).
Plot these points. Then connect them to form trapezoid U'V'W'Z'.
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?
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
Please answerrrr I need it desperately please EXPLAIN. I WILL PUT YOU AS A BRANLIEST ANSWER IF YOU EXPLAIN AND TRY YOUR BEST!!!!! Good luck and remember to EXPALIN.
Answer:
Option B
see the attached figure
Step-by-step explanation:
we know that
Opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0
so
In this problem
The opposite of -1/2 is 1/2
so
point M is 1/2 ----> point M is located in the interval (0,1)
The opposite of 5/2 is -5/2
so
point N is -5/2 ----> point M is located in the interval (-3,-2)
therefore
The correct answer is the option B
math help
simplify. your awnser should contain only positive exponents with no fractional exponents in the denominator
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
Rosa enlarged an image on the copy machine. The actual measurement was 3.6 inches by 6 inches. The enlarged version is 6 inches by another measurement. What is the length of the new image?
Answer:
10
Step-by-step explanation
6/3.6=1.6 or 1 2/3
1.6*6=10
Answer:Start by enlarging the picture 2 inches by 3 inches up to 150%. This leads to a 3 inch by 4.5 inch picture. Eduardo wants to enlarge the picture to 4 inches by 6 inches. 4/3 = 1.33 6/4.5= 1.33 Therefore, the two whole number percents are 150% and 133%.