Answers
Answer:
4 to the power of 8
Step-by-step explanation:
if they have the same base number with a exponent u can add the exponenets together to simplify it but if they dont have the same base number you can not add the exponents together
Answer:
b.
[tex] {4}^{8} [/tex]
Step-by-step explanation:
With the same base you just add the exponents.
Related Questions
In your own words, explain HOW to find the standard deviation of this data set. (20 points). What does the standard deviation tell you about this data? (20 points). Dr. Cwetna recorded all of the grades on a unit test on the chart below. plz somebody help I need this by today.
Answers
if -5 is a root of the quadratic equation 2x2+px-15=0 and the quadratic equation p(x^2+x)+k=0 has equal roots. find the value of k
Answers
Answer:
k= 7/4
Step-by-step explanation:
2x²+px-15=0
One of roots is -5, then:
2*(-5)²- 5p -15 =050 -5p - 15= 05p= 35p=7----
p(x²+x)+k=0
replacing value of p:
7(x²+x)+k=07x²+7x+k=0it has equal roots, then the discriminant is zero:
b² - 4ac=0
7²-4*7*k=07 -4k=04k=7k= 7/4Write the following Arithmetic Sequence using a Recursive Formula: an = -8 + 2(n - 1)
a. a1 = 2, an = an+1 - 8
b. a1 = -8, an = an+1 + 2
c. a1 = 2, an = an-1 - 8
d. a1 = -8, an = an-1 + 2
Answers
Answer:
d) a1 = -8, an = an-1 + 2
Step-by-step explanation:
The formule is:
an = a1 + r*(n - 1)
So:
an = -8 + 2(n - 1)
a1 + r*(n - 1) = -8 + 2(n - 1)
⇒ a1 = - 8 ∧ r = 2
Finally:
r = an - an-1
an = 2 + an-1
The arithmetic sequence using a Recursive Formula is defined as
aₙ = a₍ₙ₋₁₎+2
What is the Recursive Formula?A recurrence relation is an equation that uses a rule to generate the next term in the sequence from the previous term or terms.
Given that, Arithmetic Sequence defined by a Recursive Formula:
aₙ = -8 + 2(n - 1)......(i)
The explicit formula of an AP is
aₙ = a₁ + (n-1)d
Comparing the equations, we get,
a₁ = -8 and d = 2
Now, the recursive formula of an AP is
aₙ = a₍ₙ₋₁₎ +d
Put d = 2,
aₙ = a₍ₙ₋₁₎ +2
Hence, The arithmetic sequence using a Recursive Formula is defined as aₙ = a₍ₙ₋₁₎+2
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In the proportion 15/3 = v/7 , which number is equal to y in the proportion ?
Answers
Answer:
3
Step-by-step explanation:
Answer:
y=3
Step-by-step explanation:
If Max is opening a bank account and he deposits $1500 and it has compound interest at a 9%, how much money will he have 8 years if the interest compounds semi-annually?
Answers
Answer:
$3,033.56
Step-by-step explanation:
(see attached for reference)
The formula for compound interest is given by
A = P [ 1 + (r/n) ]^(nt)
Where,
A = final amount (we are asked to find this)
P = principal = given as $1500
r = annual interest rate = 9% = 0.09
n = 2 (for compounding semi-annually)
t = time, given as 8 years
Substituting the above into the equation:
A = P [ 1 + (r/n) ]^(nt)
A = 1500 [ 1 + (0.09/2) ]^[(2)(8)]
A = 1500 [ 1.045) ]^[16]
A = $3,033.56
Jade and Fred sit on opposite ends of a 16-foot seesaw. Jade weighs 45 pounds
and Fred weighs 50 pounds. Where would Cynthia have to sit to balance the
seesaw if she weighs 30 pounds? (The fulcrum is at the center.)
Answers
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C? A. (2, -1) B. (5, -3) C. (2, -3) D. (7, -1)
Answers
Answer:
A.
[tex]Point\ C = (2,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (2,-6)[/tex]
[tex]B = (10,2)[/tex]
[tex]m:n = 5:3[/tex]
Required
Determine the coordinates of C
Since, point D divides line AB in ratio, 5 : 3;
We start by calculating the coordinates of D;
This is done as follows;
[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where
[tex](x_1,y_1) = (2,6)[/tex]
[tex](x_2,y_2) = (10,2)[/tex]
[tex]m:n = 5:3[/tex]
[tex]D(x,y) = (\frac{5 * 10 + 3 * 2}{5+3},\frac{5 * 2 + 3 * -6}{5+3})[/tex]
[tex]D(x,y) = (\frac{50 + 6}{8},\frac{10 - 18}{8})[/tex]
[tex]D(x,y) = (\frac{56}{8},\frac{-8}{8})[/tex]
[tex]D(x,y) = (7},-1)[/tex]
Since AC is vertical
Then, Point C has the same x coordinate as A
[tex]x-coordinate = 2[/tex]
Similarly;
Since CD is horizontal
Then, Point C has the same y coordinate as D
[tex]y-coordinate = -1[/tex]
Hence,
[tex]Point\ C = (2,-1)[/tex]
Answer:
Option A
Step-by-step explanation:
A. (2, -1)
Penny received an unexpected $5,000.00 gift from a distant relative. She invests it in a mutual fund that increases the value of the original investment by 8% each year. In 15 years, Penny hopes to have $40,000 available to make a down payment on a house. How much would she need to invest right now in order to have enough for her down payment in 15 years?
Answers
Answer:
Penny would need to put in ~ $18,181.82
Step-by-step explanation:
Using the equation [tex]A = P(1+rt)[/tex]
Where A = the total
P is equal to the starting amount
r is equal to the rate (percent)
and t is equal to the total time.
We can put in:
A = $40,000
r = 0.08 (8%)
t = 15
[tex]40,000 = P(1 +(0.08* 15))\\40,000 = P(1+1.2)\\40,000 = P(2.2)\\\frac{40,000}{2.2} = P\\ \frac{200,000}{11} = P\\P = $18181.8181818181...[/tex]
Round to the nearest whole cent
P = $18,181.82
WILL MARK BRAINLIEST! Identify and explain each example as Newton’s First, Second, or Third law of motion. I pull on the Earth because Earth pulls on me. Answer 1 Choose... The velocity of a falling object isn’t constant because Earth’s gravity exerts a force on it. Answer 2 Choose... If air resistance is ignored, the acceleration of a falling object is equal to the ratio of the force of gravity to mass. HELP PLZ!!!
Answers
Answer:
1.) Newton 3rd law
2.) Newton 1st law
3.) Newton 2nd law.
Step-by-step explanation:
1.) I pull on the Earth because Earth pulls on me. This can be identified as Newton 3rd law of motion. The law state that, in every action, there must be equal and opposite reaction.
As the earth pulls on you, the reaction to that action which is equal and opposite is you pulling back on earth.
2.) The velocity of a falling object isn’t constant because Earth’s gravity exerts a force on it. This can be identified by Newton 1st law of motion which state that: an object will continue to be at rest or in a linear motion except an external force act on it.
The velocity of a falling object suppose to be constant if there is no external force. But it isn’t constant because Earth’s gravity exerts a force on it.
3.) If air resistance is ignored, the acceleration of a falling object is equal to the ratio of the force of gravity to mass. This can be identified by Newton 2nd law of motion which state that: The rate of change in momentum is proportional to the applied force. Or
F = ma
Where F = applied force
M = mass of the object
a = acceleration
If air resistance is ignored,
F = mg
where g = acceleration due to gravity.
Answer:
1. Newton 3rd law
2. Newton 1st law
3. Newton 2nd law.
Step-by-step explanation:
Which graph represents the solution to this system of inequalities? y 2x – 4 A. B. C. D.
Answers
Answer:
I mean you dont got no graph
Step-by-step explanation:
butttttt.....
The graph wit a straight line that intersects the y-axis at -4 and goes up by 2 and to tha right by 1.
Answer:
Theres no graph
Step-by-step explanation:
Vhen 2.0 moles of magnesium reacts, how many liters of oxygen gas, O2, are needed at STP conditions?
- Mg (3) + O2(g) → 2 Mgo (3)
Answers
Answer:
22.4 litres
Step-by-step explanation:
Reaction:
2Mg (s) + O2 (g) → 2 MgO (s)
From the reaction, we know that 2 moles of Mg (s) react with 1 mol of O2
STP conditions mean:
absolute temperature of 273.15 K absolute pressure of 1 atmUsing the equation of state for ideal gases:
PV = nRT
where P is the absolute pressure, T is the absolute temperature, n are the moles, V is the volume, and R is the gas constant = 0.082 atm*L/(mol*K). Solving for V and replacing:
V = nRT/P
V = 1*0.082*273.15/1
V = 22.4 litres
suppose that y varies inversely with x. use the information to find k, and then choose the equation of variation. x = 28 when y = 2 A. k=56, y 56/2 B. k = 14 y = x/14 C. k = 56, y = 56x D. k = 14. y = 14/x
Answers
Answer: A
Step-by-step explanation:
Given that y varies inversely with x, that is,
y ∝ 1/xyou will introduce constant k when the proportionality constant sign is changed to equality sign.y = k(1/x)when x = 28, y = 2substitute x and y into the formula to get k2 = k(1/28)open the bracket and cross multiplyk = 56substituting k back into equation givesy = 56/xoption A should be the answer. but it wasn't written clearlyPlz help me. Geometry
Answers
Answer:
B
Step-by-step explanation:
Since opposite angles in a parallelogram are congruent, ∠B = ∠D which means:
5y + 31 = 96
5y = 65
y = 13°
Additionally, opposite sides of a parallelogram are congruent, therefore AB = CD which means:
x² - 18 = 7x
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
x = 9° or -2°
Answer:
Step-by-step explanation:
SINCE IT IS A PARALLELOGRAM,
AB=CD
and B = D
therefore x= 9, y=13
hope it helps
How many 4-digit numbers can be formed using only the digits 9, 8 and 7?
Answers
Answer:
There are 81 numbers
Step-by-step explanation:
Imagine that you have 4 boxes (one for each digit). In each box, you only have 3 choices for what digit you will do. You have to multiply all of the options (3*3*3*3) and you get 81.
4a-5=3 simplify this pleaseeee
Answers
Answer:
Hey there!
Given Equation
4a-5=3
Add 5 on both sides
4a=8
Divide by 4 on both sides
a=2
Hope this helps :)
Answer:
a= 2Step by step explanation
4a - 5 = 3
Add 5 on both sides:
4a - 5 +5 = 3 + 5
Simplify
4a = 8
divide both sides by 4
4a/4 = 8/4
Simplify
a = 2
Hope this helps...
Good luck on your assignment..
Express 3*(4*5) as a common fraction given a*b= ab/a+b .
Answers
Answer:3 ⋅ ( 4 ⋅ 5 ) = 23 a ⋅ b = a ( b a ) + b = a = 2
Step-by-step explanation:
The common fraction for the given expression is 60/47.
What is a fraction?A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.
Given that an expression, 3*(4*5) such that, a*b= ab/a+b
Solving the expression as per the given formula,
4*5 = 4×5/(4+5) = 20/9
Now,
3*(4*5) can be written as, 3*20/9
Therefore,
3*20/9 = 3×20/9/(3+20/9)
= 20/3×9/47
= 60/47
Hence, the common fraction for the given expression is 60/47.
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SOMEONE PLEASE HELP!!!!!!!!!
Solve 2 x - 1 < 7 and 5x + 3 < 3.
A. {x l x < 0}
B. {x l x < 4}
C. {x l 0 < x < 4}
Answers
Answer:
Step-by-step explanation:
2x - 1 < 7
Add 1 to both sides
2x - 1 + 1 < 7+1
2x < 8
Divide both sides by 2
2x/2 < 8/2
x < 4
5x + 3 < 3
Subtract 3 form both sides
5x + 3 - 3 < 3-3
5x < 0
x < 0
x <4 & x < 0
So, solution ,
{x / x< 0 }
Answer:
A. {x l x < 0}
Step-by-step explanation:
2 x - 1 < 7 and 5x + 3 < 3.
Solve one inequality at a time
2 x - 1 < 7
Add 1 to each side
2 x - 1+1 < 7 +1
2x <8
Divide by 2
2x/2 <8/4
x <4
Now solve the other
5x + 3 < 3
Subtract 3
5x +3-3 < 3-3
5x<0
x <0
Recombine
x<4 and x<0
We go with the more restrictive and merge the overlapping interval since we have an and
x<0
Hey guys please help find the area
Answers
Answer: 120 inches
Step-by-step explanation: because 12 times 10 is 120
−5+(−5r)+10 answer plz
Answers
Answer:
-5r + 5
Step-by-step explanation:
We simply simplify by adding like terms. Only thing we can combine are the constants -5 and 10, which we get 5. So then our answer is -5r + 5.
Answer:
5(1-r)
Simplified expression 5-5r
Step-by-step explanation:
The sum of two angles formed by the intersection of two lines is 50°. Find the measures of the angles.
Answers
Answer:
The measure of the angle will be 25°
Step-by-step explanation:
when two lines intersect each other, four angles are formed . Two of these angles are equal and the other two angles are also equal. The equality of the of these angles is due to the fact that they are vertically opposite angles.
Vertically opposite angles are equal. Since the sum of two angles formed due to the intersection of the two lines is equal to 50° , the two angles should be equal(vertically opposite angles).
The angles will be 50/2 = 25°. Each angle will be 25°. If we want to find the other 2 angles formed by the intersection we subtract 50 from 360°. we will get 310. The angles will be 310/2 = 155°. Generally the angles formed from the intersection of this 2 lines will be 25°, 25°, 155° and 155°.
Answer:
25 degrees
Step-by-step explanation:
justt trust me
WILL MARK THE BRAINLIEST need answered asapThere are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the number of oak trees on the property? StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction StartFraction 100 times 5 Over 20 times 5 EndFraction = StartFraction 500 Over 100 EndFraction StartFraction 20 times 4 Over 25 times 4 EndFraction = StartFraction 80 Over 100 EndFraction StartFraction 20 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 5 Over 25 EndFraction
Answers
Answer:
20% of 25 trees=25*20/100=5 trees.
Step-by-step explanation: i hope this helps
C
:)hope this helps :)
Are triangles DEF and LNM similar if LN equals 4, MN equals 3, DE equals 12, and FE equals 9? Yes, by the SAS Similarity Postulate Yes, by the SSS Similarity Postulate No, the corresponding sides are not proportional No, there is not enough info
Answers
Answer:
yes, sas
Step-by-step explanation:
12:4 and 9:3 are the same ratio so the sides are proportional. Since they have a congruent angle too, the answer is yes by the SAS Similarity Postulate.
Which lines have a slope of 1/2?
Answers
Answer:
c and d
Step-by-step explanation:
rise/run
for every 2 that c and d progress positive on the x-axis, it only rises 1 on the y-axis
Find the distance between the points (–15, 3) and (–9, 8). A) units B) units C) units D) units
Answers
Answer:
√61
Step-by-step explanation:
d=√(x2 - x1)^2 + (y2 - y1)^2
√(-9-(-15))^2 + (8-3)^2
√61
The distance between points P(-15, 3) and Q(-9, 8) is √61 units.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
The given points are,
P(-15, 3) and Q(-9, 8).
The distance between two points A(x₁, y₁) and B(x₂, y₂)
Distance
= √(x₂ - x₁)² + (y₂ - y₁)²
To find the distance between points PQ,
Use formula
PQ = √(-9 - (-15))²+(8 - 3)²
= √(-9 + 15) ²+(5)²
= √(6) ²+(5)²
= √36 + 25
= √61
The required distance between given points is √61 units.
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In a cookie-eating contest, Luke ate 8 cookies in 1 minute and 30 seconds. At this rate, how many cookies will he eat in 3 minutes and 45 seconds?
Answers
Answer:
20 cookies
Step-by-step explanation:
Change from minutes and seconds to seconds
1 minute 30 seconds = 90 seconds
3 minutes 45 seconds = 3 *60 +45 = 180+45 = 225 seconds
Now we can use ratios to solve
8 cookies x cookies
------------- = -----------------
90 seconds 225 seconds
Using cross products
8 * 225 = 90x
Divide each side by 90
1800/90 = 90x/90
20 =x
Solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth.
Answers
Answer:
x≈14.28
Step-by-step explanation:
cos32° = 12/x
so : x= 12/cos32° = 12/0.84 = 14.28
I tried to do this but it makes it wrong :,(
Answers
Answer:
177.8cm
tell me if it's right :)
Step-by-step explanation:
Last week Fred had 47 dollars. He washed cars over the weekend and
now has 50 dollars. How much money did he make washing cars?
Answers
Answer:
fred made 3 dollars
Step-by-step explanation:
47+3=50
What is an equation of the line that passes through the points (-7, -6) and
(-1,0)?
Answers
Answer:
equation of line:
y = mx+c
1) find the gradient, m
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{ - 6 - 0}{ - 7 - ( - 1)} [/tex]
[tex]m = 1[/tex]
2) find y-intercept, c using coordinate (-1,0)
y = mx + c
0 = 1(-1)+ c
-1 + c = 0
c = 1
the equation of line: y = x + 1
Help please and explain it
i posted this one before but it got deleted somehow
Answers
Answer:
2) [tex]\frac{1}{4} c[/tex]
3/4 of the cyclists did not finish, thus 1/4 did.
3) [tex]59-t[/tex]
56 people were on the bus. 3 people got on(56+3=59). Then t people got off(-t)
4) [tex]\frac{G}{30}[/tex]
Out of 30 people, g of the are girls
5) [tex]\frac{16}{c}[/tex]
Out of c people, 16 are boys
Hope it helps <3