Answer:
m = - 4, b = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
y = - 4x - 2 ← is in slope- intercept form
with m = - 4 and b = - 2
If f(x)= x-3 over x and g(x)= 5x-4 what is the domain of (f•g)(x)
Answer:
I attached the work to your problem below.
I hope it helps.
In the right triangle shown, m\angle J = 60^\circm∠J=60 ∘ m, angle, J, equals, 60, degrees and JL = 6\sqrt{3}JL=6 3 J, L, equals, 6, square root of, 3, end square root. How long is JKJKJ, K?
Answer:
[tex]|JK|=3\sqrt{3}[/tex]
Step-by-step explanation:
The diagram of the triangle is drawn and attached,
From trigonometric ratios,
[tex]cos \theta =\frac{Adjacent}{Hypotenuse} \\cos60^\circ =\frac{|JK|}{|JL|}\\ 0.5=\frac{|JK|}{6\sqrt{3} }\\$Cross multiply$\\|JK|=0.5*6\sqrt{3}\\|JK|=3\sqrt{3}[/tex]
Answer:
the proof is in the picture
Step-by-step explanation:
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going or
the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of th
population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls.
Answer:
C
Step-by-step explanation:
Because I said so
3x-2= 4x+9/3 whats the solution
Tia and Ken sold snack bars and magazine subscriptions for the school fundraiser. Tia sold 16 snack bars and 4 magazine subscriptions and raised $132. Ken sold 20 snack bars and 6 magazine subscriptions and raised $190. What was the cost of a snack bar and the cost for a magazine subscription?
Answer:
The value of the snack bar is $ 2 and that of the magazine subscription is 25 $
Step-by-step explanation:
We have a system of two equations and two unknowns, which would be the following:
let "x" be the cost of the snack bar
Let "y" be the cost of the magazine subscription
16 * x + 4 * y = 132
20 * x + 6 * y = 190 => y = (190 - 20 * x) / 6
replacing:
16 * x + 4 * (190 - 20 * x) / 6 = 132
16 * x + 126.66 - 13.33 * x = 132
2.66 * x = 132 - 126.66
x = 5.34 / 2.66
x = 2
for "y":
y = (190 - 20 * 2) / 6
y = 25
Which means that the value of the snack bar is $ 2 and that of the magazine subscription is 25 $
A pack of 6 waters costs $5.10. How much does 1 water cost?
So each bottle of water costs $0.85
look at the attached picture
Hope it will help you..
Answer:
85 cents
Step-by-step explanation:
divide 5.10 by 6
a square number whose digits add up to seven.
Answer:
list the squares
1x1=1
2x2=4
3x3=9
4x4=16
16 the answer because 1+6=7
hope this helps if you have any questions you can ask
Step-by-step explanation:
Answer:
4's square number : 16
5's square number : 25
32's square number : 1024
40's square number : 1600
49's square number : 2401
50's square number : 2500
Step-by-step explanation:
I might have missed a few but ...
PLEASE HELP - One of the solutions to the x to the second power -14x + 45 =0 is x=5. What is the other solution?
- I think the answer is either 9 or -9!!! Please tell me what u think, thank u!! Very appreciateddd :))
Step-by-step explanation:
x^2 -14x + 45 =0
look for two numbers that their :
sum= - 14 (-5 & -9)
products = 45 (-5 & -9)
so,
(x-5)(x-9)=0
thus,
x=5, x=9 (ANS)
A card is drawn from a normal 52 card deck. The card number and sum are noted, the card is placed back in the deck, then another card is drawn. Find the probability that a) the first card was a queen and the second card as a 10. b) the first card was the Queen of Hearts and the second card was an 8. c) both cards were Jacks. d) the first card was the 5 of Spades and the second card was the Ace of Hearts.
Step-by-step explanation:
a) There are 4 Queens in a deck, so the probability the first card is a Queen is 4/52 = 1/13.
There are 4 10s in a deck, so the probability the second card is a 10 is 4/52 = 1/13.
The probability of both events is 1/13 × 1/13 = 1/169.
b) There is 1 Queen of Hearts in a deck, so the probability the first card is a Queen of Hearts is 1/52.
There are 4 8s in a deck, so the probability the second card is a 8 is 4/52 = 1/13.
The probability of both events is 1/52 × 1/13 = 1/676.
c) There are 4 Jacks in a deck, so the probability the first card is a Jack is 4/52 = 1/13.
There are 4 Jacks in a deck, so the probability the second card is a Jack is 4/52 = 1/13.
The probability of both events is 1/13 × 1/13 = 1/169.
d) There is 1 5 of Spades in a deck, so the probability the first card is a 5 of Spades is 1/52.
There is 1 Ace of Hearts in a deck, so the probability the first card is a Ace of Hearts is 1/52.
The probability of both events is 1/52 × 1/52 = 1/2704.
What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)?
O y-4-3(x-1)
0 1-y-3(x-4)
4-4-3(1-x)
1-y, -3(4-x)
Answer:
y-4=3(x-1) A is correct
Step-by-step explanation:
y−y1=m(x−x1) Point slope form
y-4=3(x-1)
Hope this helps! Please mark brainliest :)
Linda is making a line plot of the data below. 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 Which line plot represents the data correctly? A. Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5 and 1 dot on 14.125 is given. B. Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 2 dots on 11.25, 1 dot on 12, 1 dot on 12.5 and 1 dot on 14.125 is given. C. Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5 and 1 dot on 13.75 is given. D. Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 3 dots on 11.25, 1 dot on 12 and 1 dot on 14.125 is given.
The plot Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5, and 1 dot on 14.125 is given to represent the data correctly.
Linda is making a line plot of the data below.
11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12.
What is the measurement of 1 foot in inches?
The measurements 12 inches equals 1 foot
The line plot shows a number line from 10 to 15 which is divided into 20 equal parts.
The dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5, and 1 dot on 14.125 are given.
If we look, there's a point at 10.5, 3 points at 11.25, a point at 12, a point at 12.5, and finally a point at 14.125.
This covers all the data provided.
Therefore option A is correct.
To learn more about the data plot visit:
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Answer:
I’m sorry I really can’t understand the answers but I think it’s a I did it on my test I have proof down there
Step-by-step explanation:
thanks hope it helps have a nice day
20 points if you help please!!!!!!!!!!!!
Answer:
C and E
Step-by-step explanation:
What is the distance between (-6. 2) and (8.10) on a coordinate grid?
Answer:
The distance between 2 points is 16.1 units.
Step-by-step explanation:
You have to apply distance formula using coordinates,
[tex]distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
Let (x1,y1) be (-6,2),
Let (x2,y2) be (8,10)
[tex]distance = \sqrt{ {(8 - ( - 6))}^{2} + {(10 - 2)}^{2} } [/tex]
[tex]distance = \sqrt{196 + 64} [/tex]
[tex]distance = \sqrt{260} [/tex]
[tex]distance = 2 \sqrt{65} [/tex]
[tex]distance = 16.1 \: units \: (3s.f)[/tex]
If x = 3-2√2 ,then find the value of x2 – 1/x2
Answer: - 24√2
Step-by-step explanation: i did the math this is what i got
Hello there!
x^2 - (1/x^2)
x = 3 - 2√2 -- (1)
1/x = 1/( 3-2√2 )
= ( 3 + 2√2 ) / (3 - 2√2 )(3+2√2 )
= ( 3 + 2√2 ) / 3² - ( 2√2 )²
3^2 = 9 and 2√2 ² = 8
= ( 3 + 2√2 ) / ( 9 - 8 )
= ( 3 + 2√2) -- (2)
x - 1/x = 3 - 2√2 - ( 3 + 2√2 )
= 6
= 3 - 2√2 - 3 - 2√2
= - 4√2
x² - 1/x² = ( x + 1/x ) ( x - 1/x )
= 6 × ( - 4√2 )
6 x ( -4√2 ) = -24√2
Find the area of the semicircle. Round your answer to the nearest hundredth.
2 ft
Área: about?
Answer:
The answer would be .39
Step-by-step explanation:
So first we have to know the eqation to finding the area of a semicircle, this would be:
2r x π ÷ 2 (r stands for radius)
Ok so since our diameter is 2 we need to divide that in half to find our radius which we would then get .5
And then you we would fill in the blanks and make our eqaution :
2 x 0.5 x 3.14 ÷ 2 which would give us the answer of .39
i have no idea if this is right so pls lmk!
PLEASEEE HELPPP MEE WITH THIS QUESTION!!!!!!! I REALLY NEED HELP!!!!! PLS ANSWER IT CORRECTLY NO GUESSING PLSS HELP ASAP!!!!!!!
Answer: Because each leaf will not have a single digit.
Step-by-step explanation:
Please help its in math
Answer:
989 in^2
Step-by-step explanation:
The surface area of the larger cube is
SA = 5 s^2 because she will stain all the sides but the bottom one
SA = 5 * 11^2 = 5*121 = 605
The surface area of the smaller cube is
SA = 6s^2 since she will stain all sides
SA = 6* 8^2 =6*64 =384
Add both surface areas together
605+384
989
Answer:
989 square inches
Step-by-step explanation:
Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!
What is the value of x in the equation 3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4
Answer:
-37/68
Step-by-step explanation:
3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4
(21/2x+6)-(1/2+2)=(3/2x-3/8)-1/4
(21/2x-1/2x)+(6-2)=3/2x-3/8-1/4
10x+4=3/2x-5/8
37/8=-17/2x
37/8 (2)=-17/2x(2)
37/4=-17x
37/68=-x
-37/68=x
At the state fair, the giant Ferris wheel takes 48 seconds to make one full rotation. The Ferris wheel has a diameter of 60 ft. and the bottom of the wheel is 8 ft. above the ground. If you are the last person on the Ferris wheel and you board at the bottom, which equation below models your height above the ground as a function of time?
Answer: H = 30ft*cos(2*pi*t/48s + pi) + 38ft.
Step-by-step explanation:
We can use a trigonometric function to model this, let's use:
H = A*cos(w*t) +
where A is a constant, w is the frequency, t is time, and h is of the wheel, this is half the diameter plus the distance above the ground:
30ft + 8ft = 38ft.
A is equal to the radius of the wheel, or half the diameter, A = 60ft/2 = 30ft.
we know that the period is 48 seconds, this means that:
cos(w*0) = cos(w*48s) = 1
then w*48s = 2*pi
w = 2*pi/48s
so now function is:
H = 30ft*cos(2*pi*t/48s) + 38ft.
But we also know that, at t= 0, you must be at the bottom of the wheel, so we must ad a phase of pi to the cosine function
H = 30ft*cos(2*pi*t/48s + pi) + 38ft.
So now when t = 0, we have:
H(0) = 30ft*cos(0 + pi) + 38ft. = 8ft.
[tex]\rm H = 30cos \frac{2 \pi t}{48} + 38 \ ft.[/tex] is the obtained equation below model your height above the ground as a function of time.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given data;
A is a constant,
ω is the frequency
t is the passage of time
h is the wheel's height,
d is the diameter
h = d/2
The equation for the SHM is found as;
y = Acosωt
For the given condition the equation is written as;
H = Acosωt
The distance above the ground;
30ft + 8ft = 38ft.
⇒cos(ωt)
⇒cos(w × 48) = 1
⇒ω×48s = 2π
⇒w = 2π/48s
The obtained function is;
[tex]\rm H = 30cos \frac{2 \pi t}{48} + 38 \ ft.[/tex]
We must add a phase of π to the cosine function since we also know that at time t=0, you must be at the bottom of the wheel.
So now when t = 0, we have:
[tex]\rm H(0) = 30ft\times cos(0 + \pi) + 38ft.\\\\\ H(0) = 8 \ ft.[/tex]
To learn more, about equations, refer;
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The two line plots below show the times that Marco and Antonio ran in ten trials of the 40-yard dash.
antonio's:4.5,4.5,4.6,4.6,4.6,4.8,4.8,5.2,5.2,5.3,5.5
Marcos's:4.8,4.8,4.9,4.9,4.9,4.9,5.0,5.0,5.0,5.1
Which of the following can be inferred from the data?
A. Antonio runs the race faster than Marco on average.
B. Marco always runs a better time than Antonio.
C. Marco is more likely than Antonio to improve after a poor race.
D. Antonio's average time is about 5.1 seconds,
Step-by-step explanation:
The answer is A
Bcz In a race runs faster whoever does it in less time
Which is greater, 4.87 x 10^9 or 9.212 x 10^8?
please helpp
Answer: 4.87 x 10^9 is greater than 9.212 *10^8
Step-by-step explanation:
4.87 x 10^9 is greater than 9.212 *10^8 because it has the greater exponent.
4.87 * 10^9 = 4,870,000,000
9.212 *10^8= 921,200,000
4,870,000,000 > 921,200,000
What is the volume of a sphere whose radius is 6 yards
Answer:
[tex] 904.32 \: {yard}^{3} [/tex]
Step-by-step explanation:
[tex] V_{sphere} = \frac{4}{3} \pi {r}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times {6}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times 216 \\ \\ = \frac{4 \times 3.14 \times 216}{3} \\ \\ = \frac{2,712.96}{3} \\ = 904.32 \: {yard}^{3} [/tex]
Identify the zero(s) of [tex]f(x)=4x^{2} - 20x - 56[/tex]. -- Urgent 10 minutes! Many points!
Answer:
x = - 2, x = 7
Step-by-step explanation:
Given
f(x) = 4x² - 20x - 56
To find the zeros let f(x) = 0, that is
4x² - 20x - 56 = 0 ( divide through by 4 )
x² - 5x - 14 = 0 ← in standard form
(x - 7)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 7 = 0 ⇒ x = 7
What is 3x²-2 if x is -3
Answer:
Step-by-step explanation:
3x² -2 =3*(-3)²-2=3*9 - 2
= 27 - 2
= 25
Is 313756 divisible by 9?
Answer:
No.
Step-by-step explanation:
313756 is not divisible by 9 .
Easy way to find it out. - 313756
3+1+3+7+5+6 = 25
25 is not divisible by 3...so , it is not divisible by 9 too
Hope it helps you
What concept did the founders of the united states borrow from the ancient greeks?
*Some help please?*
The graph of g(x) is a transformation of the graph of f(x)=3^x.
Enter the equation for g(x).
g(x) =
Answer:
I'm sorry this is kind of a hard question
The radius of a circle is 2 units.what is it’s circumference
Answer:
see below
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * pi *2
C = 4pi
Let pi = 3.14
C = 4 * 3.14
C =12.56
Using the pi button
C =12.56637061
Answer:
12.571428...units or [tex]\frac{88}{7}[/tex]
Step-by-step explanation:
Circumference of a circle= [tex]2\pi r[/tex]
Radius(r)= 2 units
∴Circumference= [tex]2*\frac{22}{7}*2 units[/tex]
= [tex]\frac{88}{7} units[/tex]
= 12.571428.....units
An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will go down by a dollar. Thus, if 22 copies are made, each will sell for $98. How many copies should he make to maximize his sales?
Answer:
60 copies
Step-by-step explanation:
Answer: 60 copies
Step-by-step explanation:
A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round your answer to the nearest tenth. The perimeter of the fountain is about a feet.
complete question:
A fountain is made up of two semicircles and a quarter circle. The diameter of the semicircles is 10 ft. Find the perimeter of the fountain. Round your answer to the nearest tenth. The picture is represented below.
Answer:
The perimeter of the fountain = 47.1 ft
Step-by-step explanation:
The fountain has 2 semi circle from a smaller circle with the diameter represented as 10 ft and a quarter circle from a bigger circle with the radius equals to 10 ft.
The perimeter is the distance around the fountain.The perimeter is the circumference in circular perspective. Therefore,
perimeter for a full circle = 2πr
Half circle = 2πr/2 = πr
For 2 half circle = πr + πr = 2πr
For 2 half circle = 2πr
r = 10/2 = 5
perimeter for 2 half circle = 2 × 5 × 3.14 = 31.4 ft
Perimeter for the quarter circle
r = 10 ft
Quarter circle perimeter = 1/4 × 2πr = πr/2
Quarter circle perimeter = (3.14 × 10)/2
Quarter circle perimeter = (31.4)/2
Quarter circle perimeter = 15.7 ft
The perimeter of the fountain = 15.7 ft + 31.4 ft = 47.1 ft
Answer:
47.1
Step-by-step explanation:
47.1
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