What is the simplified expression of the following expression?
7
OA.
37 x 7
64 x 7
314
611
OB
OC.
37 + 7
64 + 7
OD
349
628
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Submit
Answers
Please mark as brainliest.
The simplified expression of the following expression is [tex](\dfrac{3^{49}}{6^{28}} )[/tex].
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Rewrite the equation as :
[tex](\dfrac{3^7}{6^4} )^7[/tex]
Multiply both by [tex](\dfrac{3^7}{6^4} )^7[/tex]:
[tex](\dfrac{3^{7 \times 7}}{6^{4 \times 7}} )[/tex]
Use the power rule to combine exponents:
[tex](\dfrac{3^{49}}{6^{28}} )[/tex]
The simplified expression of the following expression as;
[tex](\dfrac{3^{49}}{6^{28}} )[/tex]
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Related Questions
Which of these statements about savings is incorrect? *
1 point
People often believe they are saving when they buy products at a listed
discount, even if they didn't need the product in the first place
It is extremely difficult to open a savings account, as you typically need at
least $10,000 for your initial deposit
Without a vehicle to save (like a savings account), it's much easier to spend
and harder to keep track of finances
Billions of dollars is spent on marketing to persuade consumers to spend
money instead of saving it
dinion in high school and Hust started his
1
Answers
Answer:
The answer is "Option b"
Step-by-step explanation:
The numbering of the choices was defined in the attached file please find it.
In the question except for option b, all choices were correct, that can be defined as follows:
Citizens also believe because they save by buying products at a price, even if the product wasn't required first. It's cheaper to take and tough to maintain track of funds without a way to invest (like a bank account). Billions of lives were expended on ads and convince consumers to invest money in the junior high rather than saving their union so Hust started his career.For a class of students, the association between GPA and SAT math score is roughly linear. The
equation of the least-squares regression line relating y=SAT math score to x = GPA is û = 410.54 + 67.3x. Predict the SAT math score for Jessica, who has a 3.00 GPA.
Answers
Answer:
612.44
Step-by-step explanation:
Given the linear regression equation between SAT score and GPA
y = 410.54 + 67.3x
Where
y = SAT math score ; x = GPA
THE SAT math score for Jessica who has a GPA of 3.00
x = 3
y = 410.54 + 67.3(3)
y = 410.54 + 201.9
y = 612.44
4. On the day Alex was born, his father invested $5000 in an account with a 1.2% annual growth rate.
Answer the questions below.
(a) Write a function, A(t), that represents the value
of this investment t years after Alex's birth.
(b) Use your equation to determine how much the
investment will be worth when Alexander turns
21
Answers
Answer:
Answer:
A) A(t) = 5000(1 + 0.012)t
B) A(t) = 106260
Step-by-step explanation:
A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.
B) When we plug 21 into the equation, we get 106260.
I hope this helps!
Solve for p.
i = prt
p = i-rt
p = (rt)/i
p = i/(rt)
Answers
Answer:
[tex] \sf p = \dfrac{i}{rt} [/tex]
Step-by-step explanation:
Solve for p:
[tex] \longrightarrow [/tex] i = prt
i = prt is equivalent to prt = i:
[tex] \longrightarrow [/tex] prt = i
Divide both sides by rt:
[tex] \longrightarrow [/tex] [tex] \sf \dfrac{prt}{rt} = \dfrac{i}{rt} [/tex]
[tex] \sf \dfrac{prt}{rt} = p: [/tex]
[tex] \longrightarrow [/tex] [tex] \sf p = \dfrac{i}{rt} [/tex]
Given ac is perpendicular to cb and cx is perpendicular to ab, prove angle 2 is congruent to angle 3.
Answers
Answer:
Step-by-step explanation:
Given in the question,
AC ⊥ BC and CX ⊥ AB
m∠ACB = 90°
m∠ACX = 90° - m∠3
Now by applying the property of interior angle of triangle,
m∠CAX + m∠CXA + m∠ACX = 180°
m∠2 + 90° + (90°- m∠3) = 180°
m∠2 + 180° - m∠3 = 180°
m∠2 - m∠3 = 0
m∠2 = m∠3
Therefore, m∠2 ≅ m∠3.
What is the solution set for
3x 2 + 48 = 0 ?
O {6.9, -6.9}
O {4, -4}
O {21, -21]
O {41 , -4; }
Answers
Answer:
{ 4i, - 4i }
Step-by-step explanation:
Given
3x² + 48 = 0 ( subtract 48 from both sides )
3x² = - 48 ( divide both sides by 3 )
x² = - 16 ( take the square root of both sides )
x = ± [tex]\sqrt{-16}[/tex] = ± 4i
solution set is { - 4i, 4i }
A line has a slope of 2 and a y-intercept of -5. What is its equation in slope-intercept form?
Answers
Answer:
y=2x-5
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answers
what is the standard form for the equation y=-5x+8
Answers
Answer
5x+y=8
Step-by-step explanation:
[tex]y + 5x = 8[/tex] is a standard form of equation.
What is standard form?
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. If the equation is given in this form, finding both points of intersection (x and y) is quite easy. This form is also very useful for solving systems of two linear equations.
By some examples,we can understand the concept more easily.
Example -1,
[tex]2x + 3y = 2[/tex] is a standard form of equation.
Example -2,
[tex]5x + 7y = 2[/tex] is a standard form of equation.
Example -3,
[tex]5x = y - 5[/tex] is not a standard form of equation.
Given equation is [tex]y = - 5x + 8....(1)[/tex]
We want to find standard form for the given equation.
Now,
[tex]y = - 5x + 8[/tex]
We are separating variable and constant part.
[tex]y + 5x = 8[/tex]
According to rule,it is a standard form of equation.
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Apply the distributive property to create an equivalent expression. (4b + 2e + 3) 3 =
Answers
Answer:
12b+6e+9
Step-by-step explanation:
You multiply 3 with every number inside the parentheses.
(3x4b)=12b
(3x2e)=6e
(3x3)=9
whats the slope of (-1,4) and (-2,5)
Answers
Answer:
the slope is -1
Step-by-step explanation:
rise over run
Rob buys 50 feet of border to place around the ceiling of a room. The ceiling is shaped like a square with sides that are 10.8 feet long. How many feet of border will Rob have left?
Answers
Answer:
Step-by-step explanation:
Rob needs 43.2 feet of border to place around the ceiling and Rob will have 6.8 feet of border left after placing it around the ceiling.
What is distance?
Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet. Distance is a scalar quantity, meaning it has only magnitude and no direction.
The perimeter of the ceiling is equal to the total length of border that Rob will need. The perimeter of a square is given by the formula P = 4s, where s is the length of one side of the square.
In this case, the length of one side of the square ceiling is 10.8 feet, so the perimeter is:
P = 4s = 4(10.8) = 43.2 feet
Therefore, Rob needs 43.2 feet of border to place around the ceiling.
Since he has purchased 50 feet of border, he will have:
50 - 43.2 = 6.8 feet
Rob will have 6.8 feet of border left after placing it around the ceiling.
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Please help me with this one please, I've been having trouble figuring this one out.
Answers
Answer:
y = - 2x - 1
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (2, - 3)
m = [tex]\frac{-3-5}{2+2}[/tex] = [tex]\frac{-8}{4}[/tex] = - 2
The line crosses the y- axis at (0, - 1) ⇒ c = - 1
y = - 2x - 1 ← equation of line
I hope this helps
Multiply (x − 4)(x2 − 3x + 5).
Answers
Answer:
x3−7x2+17x−20
Step-by-step explanation
BTW the 3 and the 2 are like the tiny numbers at the top cuz i don't know how to do that on a computer
Solve the system of equations.
9x + 4y = 6
9x + 5y = -33
X =
y =
Answers
Answer x= 18 y=-39
Step-by-step explanation:
Why would a deferred annuity or annuities due be preferred as a retirement investment?
Answers
I believe the answer is: The tax deferred nature.
Investment is considered to has tax deferred nature if the tax payment for the investment can be made years later after its due. This favoured as a retirement plan because it make the investors have more money to spend during the productive years prior to retirement.
Plz help with these 2 questions plz it depends on my grade
for the penny one i need the equation for one of the answers
Answers
Answer:
Yes
Step-by-step explanation:
2 pennies and 3 dimes = 60 cents
I penny = 1 cent
1 dime = 10 cents
A rectangle has a perimeter of 104 feet. If the
width of the rectangle is one more than twice its
length, determine the dimensions of the
rectangle.
Answers
Answer:
w=35, L = 17
Step-by-step explanation:
the perimeter is all sides added together to total 104. so,
2L + 2W= 104
the width is one more than twice it's length, so W = 2L + 1
plug that into first equation.
2L + 2(2L+1)=104
distribute:. 2L + 4L + 2= 104 and continue to solve for L
6L + 2= 104 subtract 2 from both sides.
6L = 102, divide both sides by 6
L = 17. so the length is 17 ft. now use that number to put it in our equation for width, W= 2L + 1
W= 2(17)+1
W = 35
Evaluate the following expression. Type your answer as a number.
8 + 23 - (4 × 3) =
the 23 is a exponet jus to let you know
Answers
its 2
Hope this helps! <3
An office manager buys 34 chairs for the new office. Each chair costs $205. What is the total amount the office manager pays for chairs? Enter your answer in the box. $_____________
Answers
Answer:
so each chair will cost 205
205 will be our cost C this is our dependent due to the entire cost being base on how many chairs that will get order
the independent variable will be how many chairs that will be ordered and there are 34 chairs being ordered
34*205= 6970
the total cost will be 6970
Explain the steps to solve for g in the equation -1/3g+5=2
Answers
Answer:
g=9
Step-by-step explanation:
-1/3x9=-3+5=2
Steven is making bags of trail mix for hiking club. He will use 23 ounces of walnuts, 11.2 ounces of almonds, and 14.3 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?
Answers
Answer:
1.94 ounces are in each bag.
Step-by-step explanation:
The total ounces of nuts in the bag is calculated as:
23 ounces of walnuts + 11.2 ounces of almonds + 14.3 ounces of cashews = 48.5 ounces.
From the question we are told that these amounts make 25 bags.
The number of ounces that are in each bag is calculated as:
25 bags = 48.5 ounces
1 bag = x ounces
Cross Multiply
25 bags × x ounces = 1 bag × 48.5 ounces
x ounces = 1 bag × 48.5 ounces/25 bags
x ounces = 1.94 ounces
Therefore, there are 1.94 ounces in each bag
for expressions a-e select yes or no to indicate whether each expression is equivalent to 3(x + 2).
A. 3x + 2 Yes_ No_
B. 3(2 + x) Yes_ No_
C. 3x + 2x Yes_ No_
D. x + 2x + 2 + 4 Yes_ No_
E. x + x + x + 1 + 1 + 1 + 1 +1 +1 Yes_ No_
Answers
Answer:
A. No
B. Yes
C. No
D. Yes
E. Yes
Step-by-step explanation:
3(x + 2) = 3x + 6
A. 3x + 2 is not 3x + 6
B. 3(2 + x) = 6 + 3x is equal to 3x + 6
C. 3x + 2x is not the same as 3x + 6
D. x + 2x + 2 + 4 = 3x + 6 is equal to 3x + 6
E. x + x + x + 1 + 1 + 1 + 1 + 1 + 1 = 3x + 6 is the same as 3x + 6
Your neighbor leaves his yard, which is 120 ft from the bus stop. He begins to
walk toward you at the bus stop and then passes you. He walks at a speed of
4 ft/s. His distance d from you after t seconds is given by d = 1120 - 4tl. After
how many seconds is your neighbor 30 ft from you?
Answers
Answer:
22.5 seconds and 37.5 seconds
I hope this is helpful!
3. In the figure shown, a circle with center O and radius of length 3 units is
inscribed in a square. What is the area of the shaded region? *
A. 3.86 square units
B. 7.73 square units
C. 28.27 square units
D. 32.86 square units
Answers
Answer:
C
Step-by-step explanation:
To find the area of a circle, take its radius (3) and square it. In this case, 3 times 3 = 9. Then, you multiply the answer by pi, which rounds to 3.14, but is more like 3.14159265......etc, etc. There is a rhyme for that: May I have a large container of coffee beans? Where the length of each word is a number of pi. Anyway, most people would write 9pi, but this is asking for the exact answer, so you can do 3.14 times 9, which equals roughly 28.27. Hope this helped!
Determine if the two triangles are congruent.
Answers
Answer:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Step-by-step explanation:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Graph each linear equation that passes through the given pair of points. Use graph paper.
1. (2,2) and (4,5)
2. (0,1/2) and (2,3/2)
3. (-1,2) and (5,0)
4(-5,-3) and (-3,5)
Answers
Answer:
The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.
But let's be more complete:
Let's find the equations for each line:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
1) Here the points are (2,2) and (4,5)
then the slope is:
a = (5 - 2)/(4 - 2) = 3/2
y = (3/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)
2 = (3/2)*2 + b
2 = 3 + b
2 - 3 = b
-1 = b
y = (3/2)*x - 1
2) Here the points are (0,1/2) and (2,3/2)
then the slope is:
a = (3/2 - 1/2)/(2 - 0) = 1/2
y = (1/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)
1/2 = (1/2)*0 + b
1/2 = b
y = (1/2)*x + 1/2
3) Here the points are (-1,2) and (5,0)
then the slope is:
a = (0 - 2)/(5 + 1) = -1/3
y = (-1/3)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)
2 = (-1/3)*-1 + b
2 = 1/3 + b
2 - 1/3 = b
5/3 = b
y = (-1/3)*x + 5/3
4) Here the points are (-5,-3) and (-3,5)
then the slope is:
a = (5 + 3)/(-3 + 5) = -4
y = -4*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)
5 = -4*-3 + b
5 = 12 + b
5 - 12 = b
-7 = b
y = -4*x - 7
Now that we have all the equations, we can find the graphs.
where the colors are:
(4) green
(3) orange
(2) Blue
(1) Gray.
Giving brainiest explain answer
Answers
Answer:
B.) Carrier B
Step-by-step explanation:
The unit rate would be [tex]c = 12t[/tex]. Since the cost for 2 minutes is $0.24 it is easy to figure out that for 1 minute it would be $0.12.
Might be a bit confusing, but hope it helps.
HELP ASAP!! WILL GIVE BRAINLIEST ❤️
Find the slope of the line passing through the given points using the slope formula. Enter the slope in
simplest form. Describe the slope as positive, negative, zero, or undefined.
(-5. 19) and (-1,7)
Answers
Answer:
[tex]m=-3[/tex]
The slope is negative.
General Formulas and Concepts:
Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 19)
Point (-1, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7-19}{-1-(-5)}[/tex]Simplify: [tex]m=\frac{7-19}{-1+5}[/tex]Subtract/Add: [tex]m=\frac{-12}{4}[/tex]Divide: [tex]m=-3[/tex]Student answers 90% of the questions on the math exam correctly if she answers 27 questions correctly how many questions are on exam
Answers
Answer:
30 questions
Step-by-step explanation:
if you cross multiply and divide like this,
[tex]\frac{27}{x}= \frac{90}{100}[/tex]
27 x 100 = 2700
2700 / 90 = 30
you'll get ; 30 !
Answer:
There are 30 total questions on the exam
Explanation:
90% = 0.9
0.9 x TOTAL = 27
27/ 0.9 = TOTAL
30 = TOTAL