Answer:
B. 8
Step-by-step explanation:
This is because a 6-8-10 right triangle (a variation of a 3-4-5 right triangle) is a Pythagorean Triple.
To show that the answer 8 works:
a^2+b^2 = c^2
6^2+b^2 = 10^2
36+b^2 = 100
b^2 = 64
b = sqrt64 = 8
Answer:
x=8
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
6^2 + x^2 = 10 ^2
36+ x^2 = 100
Subtract 36 from each side
x^2 = 64
Take the square root of each side
x = 8
Solve the inequality -2x < 5, illustrating your solution on a number line.
Is -6 a solution of the inequality?
Answer:
No.
Step-by-step explanation:
Let's first and try to isolate x.
-2x < 5
(Divide by -2)
x > -5/2 ( < changes to > b/c it was divided by a negative)
x > -2.5
Since x is all values greater than -2.5, -6 is not within those bounds.
Thus, -6 is not a solution to the inequality.
Hope that helps!
Simplify the expression x5 • x7.
Answer:
x12
Step-by-step explanation:
When multipling numbers that are the same with exponent you can just add the exponents.
so x5*x7=x12
(It would be subtraction if there was division)
Hope this helped you and feel free to ask questions!
Answer:
x^12
Step-by-step explanation:
When multiplying exponents, the rule below is followed.
[tex]x^a * x^b= x^{a+b}[/tex]
Basically, the base remains the same, but the numbers in the exponents are added.
We are given:
[tex]x^5*x^7[/tex]
We leave the base (x)as is, and add the numbers in the exponents (5 and 7).
[tex]x^5*x^7\\[/tex]
[tex]x^{5+7[/tex]
[tex]x^{12}[/tex]
The expression [tex]x^5*x^7\\[/tex] can be simplified as: [tex]x^{12{[/tex]
Six less than the quotient of a number and 4 is 15.
Answer:6 ÷ 4x = 15
Step-by-step explanation:
six is less than the quotient and quotient mean division, replace a number with a variable and put it with four and the you would put equal 15
Answer:
x=84
Step-by-step explanation:
x÷4-6=15
x÷4=21
x=84
The useful life of an electrical component is exponentially distributed with a mean of 1000 hours a. What is the probability the circuit will last more than 2000 hours?
Answer:
0.865
Step-by-step explanation:
To solve for the probability we would be using the formula:
F(x) = 1 - e^−λx
Therefore, P(x > 2000) = F(x) = 1 - e^−λx
Mean = 1000 hours
λ = 1/mean = 1/1000 hours
x= 2000 hours
F(x) = 1 - e^−(1/1000)2000
F(x) = 1 - e^−2
= 0.8646647168
Therefore, the probability the the circuit will last at least 2000 hours = 0.865
In simplest form what is 1/9 + 3 5/8
Answer:
There you go mate!
Step-by-step explanation:
What is the y-intercept of the function f(x) = –2/9x + 1/3?
Answer:
The y-intercept is 1/3
Step-by-step explanation:
The y-intercept of the function is 1/3 because if u put into form y=mx+b then the b is the y-intercept.
Answer:
1/3
Step-by-step explanation:
For this formula you look at the b value from the formula y = mx + b where in this case b = 1/3
Please answer this now in two minutes
Answer: b=46
Step-by-step explanation:
b+33 = b-13 + b the exterior angle is the sum of two interior angles.
so they have to equal each and solve for b
b+33=b -13 + b
b +33 = 2b -13
+ 13 +13
b+ 46 = 2b
-b -b
46 = 1b
b=46
NEED HELP NOW!!! Need help finding vertex form
Answer:
y = (x-.5)^2 -12.25
Step-by-step explanation:
first, find the vertex
x from (x,y) = -b/2a
ax^2-bx - c
1x^2-1x -12
-1/2(-1) = -1/-2 - 1/2
(1/2,y) then use x value to find y value
y = 1/2^2 - 1/2 - 12
y = .25 -.5 - 12 = -12.25
(.5,-12.25) input values into this formula:
y = a(x-h)^2 + k where h = x-value and k = y-value. use same a value = 1
y = (x-.5)^2 -12.25
What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth. Triangle Q R S is shown. Angle Q R S is 80 degrees. The length of Q R is 2.4 and the length of Q S is 3.1. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction 2.2 units 2.4 units 3.0 units 3.3 units
Answer: 2.4 UNITS
Step-by-step explanation:
The sine rule :
Sine A / a = Sine B / b = Sine C / c
From the diagram attached :
QR = s = 2.4 ; QS =r = 3.1 ; RS =q =?
We need to find the angle RQS
using Sine rule :
Sine R / r = Sine S / s
Sin 80° / 3.1 = sin S / 2.4
0.9848077 / 3.1 = sin S / 2.4
Sin S × 3.1 = 0.9848077 × 2.4
Sin S = 2.3635386 / 3.1
Sin S = 0.7624318
S = Sin^-1(0.7624318)
S = 49.67°
Therefore, form using ;
A + B + C = 180° ( SUM of angles in a triangle)
SQR = 180° - (QRS + QSR)
= 180° - ( 80 + 49.67)° = 50.33°
Q = 50.33°
THEREFORE,
Sine Q / q = Sin S / s
Sin 50.33° / q = Sin 49.67° / 2.4
0.7697339 / q = 0.7623295 / 2.4
0.7623295q = 0.7697339 × 2.4
q = 1.84736136 / 0.7623295
q = 2.4233108
q = Segment RS = 2.4units
Answer:
B) 2.5 is the right answer
Step-by-step explanation:
i got 100%
a cyclist travels 3 miles in 15 minutes. what is her average speed in mph
Answer:
12 mph
Step-by-step explanation:
If she travels 3 miles in 15 minutes she travels 3 * 4 = 12 miles in one hour so the answer is 12 mph.
Answer:
Your average speed was 12.0 Miles per hour (mph)
Step-by-step explanation:
Time spent
0
hours
15
minutes
0
seconds
How much distance did you cover during that time?
3
SIMPLIFY: N10 over N2 PLEASE HELP!!!! ASAP!!!
Answer:
N^8.
Step-by-step explanation:
[tex]\frac{N^{10}}{N^2}[/tex] = [tex]N^{10 - 2}[/tex] = [tex]N^8[/tex]
Hope this helps!
I need help fast!!! pls help will mark BRAINLIEST
Answer:
the y intercept is same for both
Step-by-step explanation:
that is the only answer
Answer:
Last 2 choices
Step-by-step explanation:
Points on the graph:
(-2, 4) and (0, -4)
y=mx+bm= (y2-y1)/(x2-x1)=(-4-4)/(0+2)= -4y= -4x+bTo find b, using the first point
b= y+4x= 4-2*4= -4So the equation for the graph is:
y= -4x-4=============
1. The slope is positive. no, it is -4 for both
2. Lines are same, so answer is no
3. yes
4. yes
Find the midpoint between the following points using the Midpoint
Formula (*
2
Solution
1. Given: (-10, 2) and (3,5), the midpoint is (
...
2. Given: (3, 6) and (7,6) the midpoint is (
Answer:
1 number ans (-3.5,3.5)
2 number ans(5,6)
Step-by-step explanation:
mid point formula is( X 1 + X 2 by 2 , Y1 + Y2 by 2 )
PLEASE ANSWER WILL MARK BRAINLIEST PLEASE ASAP -6/5-2/3v+4/15+1/3v
I'm assuming that you want me to solve for v, so I'll do that.
-6/5 - 2/3v + 4/15 + 1/3v
step 1: we have to make sure that the two fractions have the same denominator, so when they have the same denominator, the equation will look like this:
-18/15-2/3v+4/15+1/3v
step 2: so now, we can solve and say that -18/15+4/15 = -14/15
step 3: our equation now looks like this: -14/15 - 2/3v + 1/3v. we can tell that the two v's have the same denominator so you can solve them.
-2/3v + 1/3v = -1/3v
step 4: -14/15 - 1/3v = 0
-14/15 - 1/3v + 1/3v = 1/3v (we're doing this because we need to get -1/3 to the other side of the equal sign and as soon as we do, the sign switches).
IF YOU DON'T WANT TO FIND THE V, YOUR ANSWER IS -1/3v - 14/15If you want to find v, then, your answer is: v = -14/5Please make this the Brainliest if it helped! Thanks :)
Plz help also can you plz explain
Answer:
-1, 1
Step-by-step explanation:
what is 1/3 of -3 and 3
What is the inverse of the function f(x) = one-quarterx – 12?
Hey there! :)
Answer:
y = 4x + 48
Step-by-step explanation:
Original equation:
y = 1/4x -12
Switch 'x' and 'y' to solve for the inverse:
x = 1/4y - 12
Add 12 to both sides:
x + 12 = 1/4y - 12 + 12
x + 12 = 1/4y
Multiply both sides by 4:
4(x+12) = y
4x + 48 = y
The inverse is y = 4x + 48
Answer:
4x + 48
Step-by-step explanation:
f(x) = 1/4x - 12
y = 1/4x - 12
Add 12 to both sides.
y + 12 = 1/4x
Multiply both sides by 4.
4y + 48 = x
Switch variables.
4x + 48 = y
Please answer this question fast in two minutes
Answer:
A
Step-by-step explanation:
There isn’t enough info provided
PLEASE PLEASE PLEASE I BEG YOUWhich graph is a function of x? On a coordinate plane, a vertical line is at x = negative 3. On a coordinate plane, a v-shaped graph opens up. On a coordinate plane, a parabola opens to the right. On a coordinate plane, one curve opens to the left and another curve opens to the right.
Answer:
On a coordinate plane, a v-shaped graph opens up.
Step-by-step explanation:
If you can draw a vertical line that intersects the graph in more than one place, the graph is NOT a function.
It appears your only function is ...
On a coordinate plane, a v-shaped graph opens up.
Answer:
On a coordinate plane, a v-shaped graph opens up.
Step-by-step explanation:
Good luck everybody and have a great day :D
Can anybody help me solve this math problem?
Answer:
Step-by-step explanation:
It appears from our choices that this is a linear function, a line in the form
y = mx + b
We need to first find the slope. The 3 coordinates are (4, 66), (5, 77), (6, 88).
Using the slope formula twice to make sure this is in fact linear:
and between the next set of coordinates:
Since the slopes are the same, this is in fact linear. Using that slope along with 1 of the points in the point-slope formula for a line:
y - 66 = 11(x - 4) and
y - 66 = 11x - 44 and
y = 11x + 22, choice C.
y = 11x + 22
I need help with this please
Hey there! :)
Answer:
0.3.
Step-by-step explanation:
Looking at the row for "Less than 80° F", the column for "Rain" shows a 0.3 probability in the table. Therefore:
The probability of rain on a day less than 80°F is 0.3.
Find the gradient of the line segment between the points (1,2) and (2,3)
Answer:
gradient = 1
Step-by-step explanation:
Calculate the gradient using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (2, 3)
m = [tex]\frac{3-2}{2-1}[/tex] = 1
Answer:
1
Step-by-step explanation:
the gradient = difference between coordinate y/difference between coordinate x
(3-2)/(2-1)=1
If 5x is a positive odd number, how many even numbers are between 5x and 5x + 6?
A) 1
B) 2
C) 3
D) 4
Answer:
C
Step-by-step explanation:
If 5x is a positive odd number, using 1 for x would satisfy this.
So the number of even numbers between 5(1) and 5(1)+6 would be the numbers between 5 and 11.
You have 6, 8, 10 between those numbers that are even
If you chose 3 for x instead:
5(3) and 5(3)+6 ; 15 and 21
These also have 3 even numbers between them, being 16, 18, and 20
There will be 3 even numbers between 5x an 5x+6 , Option C is the correct answer.
What is an Odd Number ?An Odd Number is a number which is not divisible by 2.
It is given that
5x is a positive odd number
Every alternate term from the next term of 5x will be an even number
Upto 5x+6 , there will be
5x+1 , 5x+3 , 5x+5
For checking , let x = 1
The number will be 5 , the even number between 5 and 5+6 = 11 is asked
6 , 8 , 10
Therefore there will be 3 even numbers between 5x an 5x+6 , Option C is the correct answer
To know more about Odd Number
https://brainly.com/question/24158168
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Angles ABC and DEF are complementary angles. If angles abc is 68 degrees, how many degrees is angle DEF show your work.
Which fraction is graphed ?
Answer: B is the correct choice
Step-by-step explanation:
The values are essentially the same. You need to recognize how the symbols in the expressions match up with the symbols on the graph.
The open circle on the right end of the parabola means the function is less than (not including) 2 so <2 for that part.
The solid circle at the left of the line means f(x) includes all the values to the right are greater than or equal to 2 so ≥2 for that part.
A 20kg solution is 15% alcohol. How much water should I add to make an 8% alcohol solution?
Answer:
17.5 kg of water.
Step-by-step explanation:
The amount of alcohol in the 15% solution = 20*0.15 = 3kg.
If 3 kg is equivalent to 8% solution
then 100% is 3*100 / 8 = 37.5 kg.
So the amount of water to be added to make 8% solution = 37.5 - 20
= 17.5 kg.
Find x A. 46–√ B. 32 C. 43–√ D. 6–√
Answer:
[tex]\textbf{A. }4\sqrt{6}[/tex]
Step-by-step explanation:
The hypotenuse of the isosceles right triangle is √2 times the length of one leg, so is 6√2.
The hypotenuse of the 30°-60°-90° right triangle is 2/√3 times the length of the longer leg.
[tex]x=\dfrac{2}{\sqrt{3}}\cdot 6\sqrt{2}\\\\=\dfrac{(2\sqrt{3})(6\sqrt{2})}{3}\quad\text{rationalize the denominator}\\\\\boxed{x=4\sqrt{6}}[/tex]
this is question What is the place value of the 8 in 4.328 (a)Thousands (b) Hundreds (c)Hundredths (d)Thousandths
Answer:
The answer is d
Step-by-step explanation:
The place value of the 8 is 8/1000 or 0.008 or 8 thousandths in 4.328.
What is the place value strategy?The place value of a digit is determined by the position of the digit relative to the decimal point. In a number with a decimal point, the digits to the left of the decimal point represent whole numbers, and the digits to the right of the decimal point represent fractions.
here, we have,
Each place to the right of the decimal point represents a fraction that is one-tenth the size of the place to its left. For example, the hundredth place is one-tenth the size of the tenth place, the thousandth place is one-tenth the size of the hundredth place, and so on.
In the number 4.328, 8 is in the thousandth place, which is the third place to the right of the decimal point.
Thus, the place value of the 8 is 0.008, or 8 thousandths.
Learn more about the place value strategy here:
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BRAINLIEST! will give BRAINLY! can someone please explain, I don't understand how to do this.
Answer:
101.58 in
Step-by-step explanation:
The ramp r is the hypotenuse of a right triangle with the ground and 28 in height being the legs.
The angle of elevation 16° is the angle inside the triangle opposite the 28 in height.
Using the sine ratio in the right triangle, then
sin16° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{28}{r}[/tex] ( multiply both sides by r )
r × sin16° = 28 ( divide both sides by sin16° )
r = [tex]\frac{28}{sin16}[/tex] ≈ 101.58 in
Answer:
The 3rd answer
Step-by-step explanation:
Help please❤️ With at least some plzzz urgent
Answer:
a. A/B = 7/3
b. (p,q) = (4,0)
c. (p,q) = (0,2)
Step-by-step explanation:
We have the line as:
21x-6y-15 = 0
The general form of the equation of a straight line is;
y = mx + c
Where m is the slope and c is the y -intercept
writing the above in this manner, we have
6y = 21x -15
Now let’s divide through by 6;
y = 21x/6 -15/6
y = 7x/3 -5/3
Since in the general equation of a straight line, the coefficient of x is the slope, this means that our slope is 7/3 which makes A = 7 and B = 3
Considering the equation;
3x + 6y = 12
Expressing in the general form, we have
6y = 12-3x
divide through by 6
y = 12/6 -3x/6
y = 2-0.5x
Now we want to find the x intercept. At the x-intercept, the value of y = 0
Thus 0 = 2-0.5x
0.5x = 2
x = 2/0.5 = 4
so (p,q) = (4,0)
For the y intercept
y = 2-0.5x
Obviously the y intercept here is 2, so the coordinates of the y-intercept here is (0,2) = (p,q)
Consider event A and event B. What is the probability that event B occurs, given that event A has already occurred? A. P(B A) P(A) ∙ P(B) B. P(B A) P(A) C. P(B A) P(B) D. P(B A) P(B)
Answer:B
Step-by-step explanation: