Answer:
its C option which is 12
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity in either of the 2 right triangles
a² = (4[tex]\sqrt{3}[/tex] )² + (8[tex]\sqrt{3}[/tex] )² = 48 + 192 = 240 ( take square root of both sides )
a = [tex]\sqrt{240}[/tex] → A
What is the value of x that makes the given equation true?
2(x−8)=x+5x
a x=-4
b x=-16
c x=-2
d x=0
Answer:
x = -4
Step-by-step explanation:
2(x−8)=x+5x
Distribute
2x - 16 = x+5x
Combine like terms
2x-16 = 6x
Subtract 2x from each side
2x-16 = 6x-2x
-16 = 4x
Divide by 4
-16/4 = 4x/4
-4 =x
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{2(x-8)=x+5x }[/tex] [tex]\sf{2x-16=6x }[/tex] [tex]\sf{2x-6x=16 }[/tex] [tex]\sf{-4x=16 }[/tex] [tex]\sf{ x=\dfrac{16}{-4} }[/tex] [tex]\sf{x=-4 }[/tex][tex]\sf{ }[/tex]
1. 80 = -10b
2. 6 = 2n
3. -16r = 32
1.
2.
3.
Answer:
1. - 8
2. 3
3. - 2
Step-by-step explanation:
1.
80 = - 10b
- 10b = 80
b = 80 / - 10
b = - 8
2.
6 = 2n
2n = 6
n = 6 / 2
n = 3
3.
- 16r = 32
r = 32 / - 16
r = - 2
please I really need help with this
Answer:
24
Step-by-step explanation:
(1+25) - (16)(1/8)
26 - 2
24
Cheers
Answer:
24
Step-by-step explanation:
(1+5^2) -16 ( 1/2)^3
PEMDAS
Parentheses first
Exponents in the parentheses
(1+25) -16 ( 1/2)^3
Then add in the parentheses
(26) -16 ( 1/2)^3
Then exponents
(26) -16 ( 1/8)
Then multiply
26 - 2
Then subtract
24
Please help me with this.. and tell correct answer..
Answer:
Step-by-step explanation:
55 +80 + ∠C = 180 {Angle sum property}
135 + ∠C = 180
∠C = 180 - 135
∠C = 45
The side opposite to the biggest angle is the longest side
Biggest angle is ∠B. So the longest side is AC
Smallest angle is ∠C. So, the shortest side is BA
Since a sample data shows that a linear correlation coefficient between two variables is about 0.08, then it rules out a possible causal relationship between the two variables.
Answer:
False
Explanation:
A linear correlation coefficient is used to measure the the level of relationship between two seemingly dependent and independent variables. A relationship exists between two variables in linear correlation if one affects the other, either negatively or positively never zero. If linear correlation has a negative value then one variable increases while the other decreases. If linear correlation coefficient is positive then both variables increase together. If zero then there is no relationship as one variable's increase or decrease has nothing to do with the other. In the case above, correlation is positive at 0.08 hence we can say that there is a relationship between the two variables.
C=-(251x3+281)+3X251-(1-281)
Answer:
-1
Step-by-step explanation:
=-251x3+281 +251x3-1+281
=-1
What is the quotient of the synthetic division problem below, written in polynomial form?
-1| 1 7 15 9 7
Answer:
Step-by-step explanation:
If we have 5 terms to the right of the -1 outside the box thing, that means that our original polynomial is a 4th degree (the degree is one lower than the number of terms in order to allow for the constant which has no variable). Set up the synthetic division as shown in the problem. The rule is to bring down the first term, the 1 to the right of the box, multiply it by the number outside, -1, and put that product up under the next number in line inside the box. Like this:
-1 | 1 7 15 9 7
-1
1
Now add straight down, multiply the sum by -1 and put that product up under the next term in line, the 15:
-1 | 1 7 15 9 7
-1 -6
1 6
Then add straight down again, multiply the sum by -1 and put that product up under the next term in line, the 9:
-1 | 1 7 15 9 7
-1 -6 -9
1 6 9
Then do the same thing. Add straight down, multiply the sum by -1 and put the product up under the next term in line, the 7:
-1 | 1 7 15 9 7
-1 -6 -9 0
1 6 9 0 7
This is the final result. The last number, the 7 is the remainder, but the rest of it makes up what we call the depressed polynomial and is a polynomial that is one degree less than the degree we started with. So this depressed polynomial is a 3rd degree. The numbers are the coefficients on the x terms:
[tex]1x^3+6x^2+9x+0R7[/tex] or more simply stated:
[tex]x^3+6x^2+9xR7[/tex]
add 7 with the diffrence of 12 and 9 =
Answer:
7+3 = 10
Step-by-step explanation:
if I understand the problem strangeness right, and there is nothing missing in it, then this is the simple answer.
the difference of 12 and 9 is 12-9 = 3.
and then adding this 3 to 7 is 7+3 =10
Answer:
10
Step-by-step explanation:
The difference of 12 and 9 is 3.
Now,
If we add 7 to 3, the answer is 10.
can i get some help. did it 3 times and still not sure.
Answer:
18
Step-by-step explanation:
The height of the cone is 8, and the diameter is 3. This means that the radius is 3/2, or 1.5. We can plug everything into the formula (using 3 for pi):
[tex]\frac{3(1.5)^2(8)}{3}[/tex]
We can cancel out the 3 from the numerator and the denominator, so we are left with 1.5^2 times 8. 1.5 squared is equal to 2.25, and 2.25 times 8 is equal to 18.
Which of the following could be the first step in solving the equation below ? 5 ^ x = 21
Answer:
D
Step-by-step explanation:
usually when your variable is an exponent you always take the log of both sides.
The possible first step of solving the equation is log 5^x = log 21
How to determine the first step?The equation is given as:
5^x = 21
Take the logarithm of both sides of the equation
log 5^x = log 21
The above represents the possible first step of solving the equation
Hence, the possible first step of solving the equation is log 5^x = log 21
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Find the value of x.
A. 70
B. 30
C. 65
D. 40
Answer:
Option (A)
Step-by-step explanation:
From the figure attached,
By applying triangle sum theorem in ΔBCP,
m∠CBP + m∠CPB + m∠BCP = 180°
15° + 20° + m∠BCP = 180°
m∠BCP = 145°
m∠ACB + m∠BCP = 180° [Linear pair of angles are supplementary]
m∠ACB + 145° = 180°
m∠ACB = 35°
Since, ∠ACB is the inscribed angle and AB is the intercepted arc.
Therefore, m(arc AB) = 2m(∠ACB)
m(arc AB) = 2 × 35°
= 70°
Therefore, Option (A) is the correct option.
If f(x)= 2x^2+1, what is f(x) when x=3
Hey there!
f(x) = 2x^2 + 1
y = 2x^2 + 1
y = 2(3)^2 + 1
3^2
= 3 * 3
= 9
y = 2(9) + 1
2(9) = 18
y = 18 + 1
y = 19
Answer: y = 19
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The answer is:
f(3) = 19
Work/explanation:
To evaluate the function, I plug in 3 for "x" :
[tex]\rm{f(x)=2x^2+1}[/tex]
[tex]\rm{f(3)=2(3)^2+1}[/tex]
Then, I square 3:
[tex]\rm{f(3)=2\times9+1}[/tex]
Take caution here; we do not add 9 + 1, we multiply 2 times 9 first, and only then, we add 1.
[tex]\rm{f(3)=18+1}[/tex]
[tex]\rm{f(3)=19}[/tex]
Hence, the answer is f(3) = 19.Does anyone know how to do these?
Answer:
D.
Step-by-step explanation:
f(x) = [tex]\sqrt[3]{4x}[/tex]
g(x) = 2x + 3
[tex]\frac{f}{g}[/tex] (x) = 'f' divided by 'g'
[tex]\frac{\sqrt[3]{4x} }{2x+3}[/tex] Substitute.
x cannot be -[tex]\frac{3}{2}[/tex] because that would create a zero in the denominator.
That's a no-no.
It makes it 'undefined'
HELP QUICK PLEASE!
Given: AC BD and AD BC
B
D
What postulate could prove DCA ACDB
O Side-Side-Side
O Side-Angle-Side
Angle-Side-Angle
Angle-Angle-Side
Answer:
Step-by-step explanation:
Side - side - side. In fact the two triangles have the side CD in common
Ronald's home is located 33 miles west and 56 miles north from his hotel. Find the distance from his hotel to his home.
The distance from his hotel to his home is 89 miles.
What is the distance?Distance is defined as an object's entire movement without regard for direction. The distance can be defined as how much ground an object has covered regardless of its starting or ending place.The quantity of space between two things, or the state of being far apart, is defined as distance. A five-foot gap between two tables is an example of distance. The disparity between two sides of an issue is an example of distance.Solution -Given - Ronald's home is located 33 miles west and 56 miles north of his hotel.
To find the distance between Ronald's hotel to his home, add the distance.
∴ [tex]33 + 56 = 89[/tex]
Therefore, the distance from his hotel to his home is 89 miles.
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A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 12 ft from the
side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
Answer:
open degrees
Step-by-step explanation:
because I am added all the numbers so it comes
I can't understand that question
What should be subtracted from thrice the rational number -8/3 to get
5/2?
Answer: -21/2 or -10.5
Step-by-step explanation:
Let x be the number that is going to be subtracted from the rational number
3 × (-8/3) - x = 5/2 ⇒ Write the equation
-8 - x = 5/2 ⇒ Do multiplication
-8 - x + x = 5/2 +x ⇒ Add x on both sides
-8 = 5/2 + x ⇒ Simplify
-8 - 5/2 = 5/2 + x - 5/2 ⇒ Subtract 5/2 on both sides
x = -21/2 = -10.5 ⇒ Simplify
Hope this helps!! :)
Please let me know if you have any questions
Select the relationship that does represent a function.
Answer:
c
Step-by-step explanation:
(6x^2-4x-5)(2x^2+3x)
Answer:
[tex]\left(6x^2-4x-5\right)\left(2x^2+3x\right)[/tex]
[tex]=6x^2\cdot \:2x^2+6x^2\cdot \:3x+\left(-4x\right)\cdot \:2x^2+\left(-4x\right)\cdot \:3x+\left(-5\right)\cdot \:2x^2+\left(-5\right)\cdot \:3x[/tex]
[tex]=6\cdot \:2x^2x^2+6\cdot \:3x^2x-4\cdot \:2x^2x-4\cdot \:3xx-5\cdot \:2x^2-5\cdot \:3x[/tex]
[tex]=12x^4+10x^3-22x^2-15x[/tex]
OAmalOHopeO
Which of the following points is not a solution of the inequality y ≥ |x| + 3?
(-3, 6)
(0, 4)
(-3, 0)
========================================================
Explanation:
If we plug the coordinates of point A into the inequality, then we get
y ≥ |x| + 3
6 ≥ |-3| + 3
6 ≥ 3 + 3
6 ≥ 6
Which is true. Since we're looking for a non-solution, we rule out choice A.
You should find choice B is a similar story to choice A, so we can rule this out as well.
-----------
Choice C is the answer because
y ≥ |x| + 3
0 ≥ |-3| + 3
0 ≥ 3 + 3
0 ≥ 6
which is false.
Check out the graph below and notice how point C is not in the shaded solution region, and it's not on the boundary either. This is a visual way to quickly find the answer.
The boundary line y = |x|+3 is solid because of the "or equal to". We shade above the boundary line due to the greater than sign.
PLEASE ANSWERRRRR UR SO COOL IF YOU DOOOO PLSSSS
Answer:
3x-7y and -7y+ 3x
Step-by-step explanation:
3x + (-7y) = (-7y) + 3x
Answer:
Step-by-step explanation:
The first set of expressions are equivalent; they are identical except for order of the terms.
What is the volume of the cylinder below?
A. 196pi units3
B. 784pi units3
C. 98pi units 3
D. 112pi units 3
Answer:
196π units^3
Step-by-step explanation:
The volume of a cylinder is:
πr^2h
SINCE, there is no given pi, the formula will be:
r^2h
Use the formula on the given dimensions:
r^2h
= (7^2) 4
= (49) 4
= 196
So we could just leave the final answer as:
196π
The real volume will be solved once π is given.
I hope I helped!
The volume of the cylinder given is 196 π, Option A is correct.
The volume of the cylinder is given by V=πr²h
Where r is radius of cylinder and h is the height of the cylinder.
V is the volume
r=7
h=4
Now plug in these values in volume formula.
V=π(7)².4
=π.49.4
V=196π
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The length of a boat in scale drawing is 8 in. Find the length of the actual
boat if the scale is 1 in = 3 ft.
A)24 in
B.)24 ft
C.) 8 ft
D.) 11 in.
Answer:
B. 24 ft
Step-by-step explanation:
1 in = 3ft
8 in must equal 24 ft since 8 in x 3 ft is 24 ft. So, B.
The length of the boat will be equal to 24 ft.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that:-
The length of a boat in scale drawing is 8 in. Find the length of the actual boat if the scale is 1 in = 3 ft.The actual length will be calculated as follows:-
1 in = 3 ft.
8 in = 8 x 3 ft
8 in = 24 ft.
Therefore the length of the boat will be equal to 24 ft.
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Carol wants to build a fence around her
garden to prevent rabbits from eating the
plants. The fencing costs $15 per metre.
How much will it cost to enclose a square
garden with an area of 81 m2?
(Hint: Area of a square = 5?, perimeter of a
square = 4s)
Answer:
540$
Step-by-step explanation:
9x9 = 81
9 + 9 + 9 + 9 = 36
36 x 15 =540
What is the measure of n
Answer:
n = [tex]\sqrt{32}[/tex]
Step-by-step explanation:
The 2 right triangles inside the larger right triangle are similar , so corresponding sides are in proportion
[tex]\frac{8}{n}[/tex] = [tex]\frac{n}{4}[/tex] ( cross- multiply )
n² = 32 ( take the square root of both sides )
n = [tex]\sqrt{32}[/tex]
Can someone help me with this math homework please!
Answer:
The graph for a member's yearly cost for total game tokens purchased would have a y-intercept of (0, 60). However, the nonmember's yearly cost would have a different y-intercept of (0,0). This is because the member's yearly cost has a yearly initial fee of $60, while as the nonmember yearly cost doesn't include an inital fee. Also, the graph for the nonmember's yearly cost would be steeper than the member's graph because the slope 1/5 is greater than 1/10.
Hope this helps (●'◡'●)
The fractions 1/10 and 1/5 convert to 0.1 and 0.2 respectively.
So the equations y = (1/10)x+60 and y = (1/5)x are the same as y = 0.1x+60 and y = 0.2x in that order.
We see that the nonmember cost graph is steeper since the slope 0.2 is larger than 0.1; the further we move away from 0, the steeper the slope. A steeper slope means that you pay more per token. This is the unit cost.
Specifically, you would pay 0.20-0.10 = 0.10 more dollars per token if you are a nonmember compared to if you are a member.
---------------------------
Also, notice that the y intercepts of y = 0.1x+60 and y = 0.2x are 60 and 0 in that order. The members pay an up front fee of $60 before they can buy any tokens. Nonmembers don't have to pay an upfront cost.
Visually, the graph for the members will be much higher up compared to the nonmembers graph. Both lines are increasing, but the members graph is increasing less overall. At some point, the two lines intersect. After this point, it makes more sense to be a member.
Please help!! I have no idea how to do this
Answer:
i have also no idea but plz mark me as brainlist
An experiment consists of rolling a six sided die to select a number between between 1 and 6 and drawing a card at random from a set of 10 cards numbered 1,2,3,...10. Which event definition corresponds to exactly one outcome of the experiment?
Answer:
Man this is confusing
Step-by-step explanation:
How many index laws are there?
Answer:
There are three laws of indices.
need help asap pleaseeeeeeeeeeeeeeeeeeeeeeeeeee
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
9514 1404 393
Answer:
4a. 177
4b. 248
5a. 27
5b. 9
5c. 12
Step-by-step explanation:
4.a) x is 3/4 of 1/2 of all, so is 3/8 of all.
x = 3/8·472
x = 177
b) x is 2/5 of 2/3 of all, so is 4/15 of all.
x = 4/15·930
x = 248
__
5.Elaine gave her grandmother 3/4 of 48 = (3/4)(48) = 36 of the flowers. Then Elaine had 48 -36 = 12 flowers left.
Her grandmother gave 1/4 of 36 flowers = (1/4)(36) = 9 of the flowers to her neighbor. Elaine's grandmother has 36 -9 = 27 flowers now.
Elaine's grandmother has 27 flowersthe neighbor has 9 flowersElaine has 12 flowers