2^2 times 2^3
a.2^4
b.2^5
c.2^6
d.4^6
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Answer: 2⁵
Explanation: Since these two powers have the same base of 2,
you can multiply them together by simply adding their exponents.
When we do that, we get 2⁵.
A common mistake in this problem would be to multiply
the bases together and give an answer of 4⁵.
The 2's can't be multiplied together however because
they are not coefficients, they are bases.
When applying your exponent rules, your base will never change.
What is the answer for this? Please help
Answer:
A or D maybe
Step-by-step explanation:
I don't really know I'm confused myself
can you help me on part D? dont use advanced math please
Answer:
A. the first quartile represents the median of the lower half of the data set
B. the third quartile represents the median of the upper half of the data set
Step-by-step explanation:
can somebody help? marking brainliest:)
Answer:
23/16
Step-by-step explanation:
23/16+1/16=24/16=3/2
Write three hundred eighty-seven thousandths as a decimal number.
Answer:
0.387
Step-by-step explanation:
Answer:
The answer would be 0.387
At your first job you make $1200 a month of that you save $200 a month. Your goal is to save 20% did you reach your goal?
Answer:
No, you didn't
Step-by-step explanation:
20% of $1200 is:
0.2*$1200 = $240Since you saved $200 and its less than $240 you didn't reach your goal
Hi there!
No:
200 is only 6 parts of 1200 together which means that it can’t be 20% of 1200.
If it was 20% of 1200, it would then be 240 since 240·5=1200...
What this means:
No, did not reach the goal since 20% of 1,200 is 240 and 200 is only 16.67% of $1,200.
So my teacher wants me to Evaluate the expression when x=20 and z=7
z times x=
HELP PLEASE
Answer:
subsitute x for 20 then subsitute z of 7 then solve.
Step-by-step explanation:
There are 7 more girls than boys in an 8th grade class. There are a total of 53 students in this 8th grade class. How many girls are in this 8th grade class
A.)17
B.)21
C.)27
D.)30
Answer:
17
Step-by-step explanation:
I hope it correctly does come true as I am in the process
936 292 round to the nearest hundred thousand
900,000 would be the nearest hundred thousand
sorry if it's wrong, but I did try
Answer:
936,000
Step-by-step explanation:
You are going to round down because 292 is not 500 or higher and if you want to round up it has to be 500 or higher for this problem.
You measure 3 inches between your house and the movie theater. How many miles is in from your house to the movie theater?
Answer:
4.734 * 10^-5 miles
Step-by-step explanation:
Given that:
Distance between House to movie theater = 3 inches
Expressing the distance in miles :
Converting inch to miles
1 inch = 1.578 * 10^-5 miles
3 inches = (3 * 1.578*10^-5)
3 inches = 4.734 * 10^-5 miles
Sara’s ice cream looks pretty normal. It is shaped like a cone topped with a half-sphere. The cone has a height of 9 in and a radius of 4 in.
What is the approximate volume of the whole shape? Round your answer to the nearest tenth. Use 3.14 to approximate pi. (Show your work.)
Answer: 284.7
Step-by-step explanation:
radius of cone and hemisphere are the same
volume of half sphere=(1/2)*(4/3)*[tex]\pi r^{3}[/tex]
=(1/2)*(4/3)*3.14*[tex]4^{3}[/tex] (4*4*4=64)
=133.97333
=133.97
volume of cone= (1/3)[tex]\pi r^{2}[/tex]h
=(1/3)*3.14*[tex]4^{2}[/tex]*9 (4*4=16)
=150.72
total volume=133.97+150.72
=284.69
=284.7
The cost to produce the master disc of a DVD is $2000, while additional discs costs $4 each. Determine a profit function P that results if the DVDs are sold for $15. Find the profit from selling 2800 DVDs.
Find p(x)
Step-by-step explanation:
p(x) = 15x-(2000+4x)
profit is going to be the difference between how much money you get from sales less the cost to make the items
the money you make in this case is $15 times the number of cds you sell, we will call the number of cds x
so 15x is the money from sales
the costs you have are 2000 to create the master and then $4 for every cd you create, so your costs will be 2000+4x
so profit is sales minus costs, therefore we get
p(x) = 15x - (2000+4x)
now to find specifically the profit when we create and sell 2800 cds, x = 2800, so we substitute that value in for x
p(2800) = 15(2800) - (2000+4(2800))
= 42000 - (2000+11200)
= 42000 - 13200
= 28800
The profit of selling 2800 additional DVDs is 28800 dollars.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, The profit function is P, and let no. of DVDs sold is x and the profit on each additional disc is,
= $(15 - 4).
= $11.
∴ The profit function p is,
P = 11x - 2000.
So, the profit by selling 2800 additional discs is,
P = 11(2800) - 2000.
P = 30800 - 2000.
P = 28800 dollars.
learn more about function here :
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In AEFG, the measure of ZG=90°, FG = 5.6 feet, and EF = 9.7 feet. Find the measure of ZE to the nearest tenth of a degree.
Answer: 35.3
Step-by-step explanation:
Answer:
35.3
Step-by-step explanation:
find the equation of the line shown:
Answer:
Y= -1/2x -1
Step-by-step explanation:
The expression 7kl – 3k(4k + 2l) is equivalent to:
Answer:
- 12k² + kl
Step-by-step explanation:
Given
7kl - 3k(4k + 2l) ← distribute parenthesis by - 3
= 7kl - 12k² - 6kl ← collect like terms
= - 12k² + kl
19. What would a dog of 20 kg mass weigh on the moon where the acceleration due to gravity is 9moon - 1.6 m/s?? A. 200 N B. 320 N C. 12.5 N D. 32 N
Answer:
below
Step-by-step explanation:
32N D.
f and g are such functions that f(x)=3/x^2 and g(x)=2x^3.
(A) Find f(-4)
(B) Find fg(1)
Step-by-step explanation:
cluldnt get the answer for one
What is a reasonable estimate for 2,590 divided by 15? Please explain.
Answer:
172.7
Step-by-step explanation:
2590 divided by 15 = 172.6666667
7 is greater than five so the 6 gets rounded up which makes the answer 172.7!
2590 divided by 15 can be calculated by division operation and it will be equal to 172
What is division?Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.
We denote division by '÷' this symbol.
To divide 2,590 by 15, we can think of it as breaking up 2,590 into 15 equal parts. Each of these parts will have a value of 172, since 2,590 divided by 15 is equal to 172.
In mathematical terms, division is the inverse operation of multiplication. When we divide 2,590 by 15, we are asking, "How many times does 10 fit into 2,590?" The answer is 50, so 2,590 divided by 15 is equal to 172.
So, in summary, 2,590 divided by 15 is equal to 172, and this means that 2,590 can be evenly divided into 15 parts, each of which has a value of 172.
To know more about division check:
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A car magazine reports the number of miles driven for different amounts of gas for car C. How many miles does the car travel on 2 gallons of gas?
1. 100 miles in 2 gallons
2. 50 gallons in 2
3. 10 in 2
ANSWER NOW PLZ
Answer:
2. 50 gallons in 2 miles.Step-by-step explanation:
By closely observing the graph, we can see that the blue line of the graph meets both points, 2 gallons and 50 miles.
I would appreciate it if you would please mark me brainliest!
Caroline took a math test and got 15 out of 25 correct. What was the percent of questions she got
correct
Answer:
60 %
Step-by-step explanation:
15/25 = 60/100 = 60 %
Hope that helps!
Answer:
all you have to do is divide, 15÷25 which is 0.6 and 0.6= 3/5
Add the following Expressions ( Step by step )
the first person to answer the both will be marked as brainliest
Answer:
1. x³y² + 4x²y³ + 7y⁴ + x⁴
2. a² + b² + c² + 2ab + 2bc + 3ca
Step-by-step explanation:
1. x³y² + x²y³ + 3y⁴ and x⁴ + 3x²y³ + 4y⁴
= x³y² + x²y³ + 3y⁴ + x⁴ + 3x²y³ + 4y⁴
= x³y² + x²y³ + 3x²y³ + 3y⁴ + 4y⁴ + x⁴
= x³y² + 4x²y³ + 7y⁴ + x⁴
2. a² + 3ab - bc, b² + 3bc - ca and c² + 3ca - ab
= a² + 3ab - bc + (b² + 3bc - ca) + (c² + 3ca - ab)
= a² + 3ab - bc + b² + 3bc - ca + c² + 3ca - ab
= a² + b² + c² + 3ab - ab + 3bc - bc + 3ca - ca
= a² + b² + c² + 2ab + 2bc + 3ca
What is the vertical asymptote?
Answer: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of rationals.)
Step-by-step explanation:
Answer:
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of rationals.)
I hope it's helpful!
What is the volume of a cone with a diameter of 8 in and a height of 5 in?
Answer:
V=80π/3 or V=83.78
Step-by-step explanation:
The volume is
V=πr^2h/3
r=4 (because the radius is half the diameter)
h=5
V=π16*5/3
V=80π/3
Answer:
83.73
Step-by-step explanation:
volume = (1/3) · π · r2 · h
volume = (1/3) x 3.14 x 4^2 x 5
volume = (1/3) x 3.14 x 16 x 5
3.14 x 16 x 5 = 251.2
1/3 x 251.2
83.73
50,60,72 find the 8th term airthmetic and geometric sequence
Answer:
8th term is 179.15904
Step-by-step explanation:
The sequence is geometric with a common ration = 6/5
r = 60/50 = 72/60 = 6/5
Use the formula
[tex]a_{n} = ar^{n - 1}[/tex]
In your case a = 50, r = 6/5 and n = 8
[tex]a_{8} = 50(6/5)^{8 - 1} \\ = 50(6/5)^{7} \\ = 50(279936/78125)\\ = 179.15904[/tex]
answer pls. question in photo
Answer:
-The answer is =19400
Step-by-step explanation:
i hope this helps
PLEASE HELP ASAP!!
What set of transformations is performed on ABDC to form A′B′D′C′?
A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin
A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin
Answer:
b
Step-by-step explanation:
xhxhdjdhxhdhehrhfhchxhdjeurjr
Solve the linear system of equations using addition. Graph the equations to verify your solution. -4x = y + 3 y=-4x - 3
-4x = y + 3
y = -4x - 3 => 4x = -y - 3
-4x = y + 3
4x = -y - 3
----------------
0 = 0 (always true)
All Real Numbers
Answer:
x = x, y = -3 - 4x
Step-by-step explanation:
Subtract y from both sides of the equation.
-4x - y = 3
y = -4x - 3
Add 4x to both sides of the equation.
-4x - y = 3
y + 4x = -3
-4x - y = 3
Reorder the polynomial.
Add the two equations together to eliminate y from the system.
-4x - y = 3
+ 4x + y = -3
0 = 0
Since 0 = 0, the equations intersect at an infinite number of points.
Infinite number of solutions.
Solve one of the equations for y.
y = -3 - 4x
The solution is the set of ordered pairs that make y = -3 - 4x true.
Point form: (x, -3 -4x)
Equation Form: x = x, y = -3 - 4x
good luck, i hope this helps :)
I need help with part a to this question
Answer:
x : __ - 2 __ -1 ___0 ___ 1 ___ 2 ___ 3
y: ___ 5___ 2___ 1 ___ 2____5 ___ - 3
Step-by-step explanation:
Table of values for part A
Equation : y = x² + 1
x : __ - 2 __ -1 ___0 ___ 1 ___ 2 ___ 3
y: ____ ___ ___ 1 __ ___5 __ - 3
Substitute the value of x to obtain the missing values _
x = - 2
y = (-2)² + 1 = 4 + 1 = 5
x = - 1
y = (-1)² + 1 = 1 + 1 = 2
x = 1
y = (1)² + 1 = 1 + 1 = 2
What is 75 equal to?
A.
785
B.
5 x 5 x 5 x 5 x 5 x 5 x 5
O c.
7 x 7 x 7 x 7 x7
OD. 57
Answer:
C
Step-by-step explanation:
It is C
It means 7 x 5
you have the 7 add up 5 times
Each quadrilateral below is a parallelogram. Find the missing measures
Answer:
GH = 13
FG = 20
<F = 78
<G = 102
<H = 78
Step-by-step explanation:
Since there are 5 measures that are missing, we will do each one in a different part.
1. The side length of GH is 13. Since this is a parallelogram, the opposite side of your original side is congruent, meaning that its the same. So, knowing that the opposite of FI is GH, we can say that GH is 13 units long.
2. We can use the same logic for number 2, when finding FG. Since HI is 20. we can say that since the corresponding side is also congruent to our original length, they are equivalent. Basically meaning they are the same
3. a. For finding F, we will need to use a different method. Since a parallelogram is somewhat like a transversal we can use that to our advantage. (If you don't know what a transversal it, look at part B instead) Since we know that angle I is 102, and both line FG and HI are parallel, the angles are basically adjacent, when switched. So we should see that it would have to be 78. Meaning that F is 78.
3. b. If you don't understand what a transversal is, we can still figure it out. Knowing that the figure is a closed shape, along with knowing that its a parallelogram, we can say that if we were to sum the angles F and I, we would get 180. 180-102=78, so F is 78.
4. Since we can use a transversal or just pure logic to say that angle G and I are equivalent, meaning that G is 102.
5. This one is exceptionally simple, just for the fact that we have answered the previous questions. We have H left, which is not only equivalent to F, but using 3. b. we can say that its would only make sense that H is 78 as well, to sum up that half to 180.
