Answer:
y + 9 = 1/5(x + 8)
Step-by-step explanation:
Point-slope form: y - y₁ = m(x - x₁)
Substitute the values into the equation.
y - (-9) = 1/5(x - (-8)
y + 9 = 1/5(x + 8)
sin( X+Y ) = cos( X−Y ) = 1,
find the value of X and Y.
answer x = 225 and y = -135
Step-by-step explanation:
x+y = 90 and x= 90-y and x -y = 360 so 90-y -y = 360
there are 120 students in a school marching band. they march in an array with the same number of students in each row. what are the dimensions of the different arrays that the band can form?
Answer:
20 X 6
Step-by-step explanation:
20 X 6 = 120 I'm not smart but this is pretty easy
Work out 5 2 − 3 × 2 × 5 3 ÷ 1 2 3
Answer:
the answer is 49.41463415
Step-by-step explanation: Brainliest please
Find the coordinates on f the point where y-4x=1 crosses the axis
Answer:
The coordinates of the intercepts are (0,1) and [tex]\left(-\frac{1}{4},0\right)[/tex]
Step-by-step explanation:
Intercepts of a Function
Given a function y=f(x), the intercepts with the x-axis, if any, can be found by solving the equation:
y = f(x) = 0
The intercepts with the y-axis can be found by calculating
f(0)
We are given the function
y - 4x = 1
To find the x-intercepts, set y=0:
0 - 4x = 1
Solving:
[tex]x = -\frac{1}{4}[/tex]
For x=0:
y - 4*0 = 1
y = 1
The coordinates of the intercepts are (0,1) and [tex]\left(-\frac{1}{4},0\right)[/tex]
. What is 95% of 180?
Answer:171
Step-by-step explanation:
Solution
=95/100×180
=171
If you found my answer useful then please mark me brainliest.
Tom went bowling with $27 to spend. He rented shoes for $5.75 and paid $4.25 for each game.
.John has $40. He will use some of the money to buy books, and he wants to have at least $10 left to put in his savings account. Each book costs $6. A. Write an inequality to represent this story, using b to represent the number of books John buys. B. Solve the inequality, showing each step of your work. C. In complete sentences, explain what the solution means in the context of the story
Answer:
The required inequality is [tex]40-6b\leq 10[/tex].
Jhon can buy at most 5 books.
Step-by-step explanation:
Consider the provided information.
Part(A)
Let b represent the number of books John buys.
He wants at least $10 in his savings account which means if we subtract the cost of books from $40 we have at least $10 left.
[tex]40-6b\leq 10[/tex]
The required inequality is [tex]40-6b\leq 10[/tex].
Part(B)
[tex]40-6b\leq 10[/tex]
[tex]-6b\leq 10-40[/tex]
[tex]b \leq\frac{30}{6}[/tex]
[tex]b\leq 5[/tex]
Part(C): Jhon can buy at most 5 books.
Tanisha plans to invite 24 people to a snack. Each package contains 8 invitations. How many invitation packages should you buy?
Answer: 3
Step-by-step explanation:
From the question, we are informed that Tanisha plans to invite 24 people to a snack and that each package contains 8 invitations.
The number of invitation packages that should be bought will be the number of people to be invited divided by the invitations in each package. This will be:
= 24/8
= 3 invitation packages
A person invests 9000 dollars in a bank. The bank pays 4.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 12600 dollars?
A=P(1+nr)nt
Answer:
The time required to get a total amount of $ 12,600.00 from compound interest on a principal of $9000 at an interest rate of 4.75% per year and compounded 4 times per year is 7.1 years.
Step-by-step explanation:
Given
Principle P = 9000 dollars
Rate r = 4.75% = 0.0475
Total Amount A = 12600 dollars
compounded quarterly n = 4
To determine:
Time t = ?
Using the equation
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
solving the equation for 't'
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(12,600.00/9,000.00) / ( 4 × [ln(1 + 0.011875/4)] )
t = 7.1 years
Therefore, the time required to get a total amount of $ 12,600.00 from compound interest on a principal of $9000 at an interest rate of 4.75% per year and compounded 4 times per year is 7.1 years.
What is the area of rectangle RSTU? Show step by step!
Plz help me and solve this ASAP! Solve ASAP! Plz! Thank you!
Step-by-step explanation:
We only know 1 side, and that is the width of 4. We only have the diagonals at our side. Half of the diagonal is 5. As a result, the diagonal is 10. I want you to imagine a triangle that has a base of 4 and a hypotenuse of 10. Use the Pythagorean Theorem to find b, or the height.
a² + b² = c²
4² + b² = 10²
16 + b² = 100
100 - 16 = 84
b² = 84
b = √84
b ≈ 9.165
Now we know the length of the rectangle, which is about 9.165. Multiply that by 4 to get the area.
9.165 * 4
36 + 0.4 + 0.24 + 0.020
36.4 + 0.24 + 0.02
36.64 + 0.02
36.66 u²
The area of rectangle RSTU is about 36.66 units squared.
Am I aloud to have head pats and cuddlies from anyone? ^^
Signed~ Deku <3 <3
Answer:Ya <3
Step-by-step explanation:
Evaluate please I need helppppp
Answer:
-5 sorry if it's wrong. I tried.
Answer:
-5
Step-by-step explanation:
MATH HELP!! MARKING BRAINLISEST!! :DD
Answer:
3
Step-by-step explanation:
9514 1404 393
Answer:
3, -1
Step-by-step explanation:
The slope formula is ...
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The values are shown filled in for y2 and y1. The green box is highlighting the location for x2, which the image shows is 3. When completed, the formula will be ...
[tex]m=\dfrac{0-\,-2}{3-\,-1}[/tex]
The first blank shown is filled with x2 = 3.
The second blank shown is filled with x1 = -1.
what is the equation of the blue line?
The answer y = 3x-7 / y = 3(x-4)+5 is wrong
Answer:
y = 4x -3
Step-by-step explanation:
Here, we want to get the equation of the blue line
As we can see, the y-intercept is -3
So we have the equation as;
y = mx -3
To get the value of m which is the slope , we check for any point on the line
That would be;
(1,1)
Let us have this substituted;
1 = m(1) - 3
1 = m -3
m = 1 + 3
m = 4
so the equation of the straight line is;
y = 4x -3
Whats an equation in the form of y=ax+b ?
Answer: Slope-Intercept
A and B are two cylinders that are mathematically similar.
The area of the cross-section
of cylinder A is 18 cm?
18 cm?
B
10 cm
А
5 cm
Work out the volume of cylinder B.
Answer:
Volume of B is 360 [tex]cm^{3}[/tex]
Step-by-step explanation:
It can be observed in the question that the dimensions of cylinder B are twice the dimensions of cylinder A, since both are similar.
Height of B = 2 x height of A
= 2 x 5
= 10 cm
cross sectional area of B = 2 x cross sectional area of A
= 2 x 18
= 36 [tex]cm^{2}[/tex]
Thus,
Volume of B = cross sectional area x height
= 36 x 10
= 360 [tex]cm^{3}[/tex]
Volume of B is 360 [tex]cm^{3}[/tex].
Please help ASAP I need this as soon as some one can help please
Between which two integers is the square root of 275?
13 and 14
14 and 15
15 and 16
16 and 17
Answer:
None
Step-by-step explanation:
A square root has to be two of the same number
The greatest common factor of each term in the expression 60ab- 72b is 12b. Which choice shows the expression written as a product?
A. 12b(5ab - 6b)
B. 12b(5a - 6)
C. 12b(48a - 60)
D. 12b(48ab - 60b)
Answer:
b
Step-by-step explanation:
If the simple interest on $4000 for years is $3600, then what is the interest rate?
Answer:
90%
Step-by-step explanation:
3. Lin is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says that her commission is LaTeX: 5\frac12\%5 1 2 % of the selling price. How much commission will the salesperson earn by selling a couch for $495? How much money will the store get from the sale of the couch?
Answer:
i. Salesperson's commission = $27.225
ii. Amount for the store = $467.775
Step-by-step explanation:
The commission of the salesperson = [tex]5\frac12\%[/tex] of selling price
Price of a couch = $495
Salesperson's commission = [tex]5\frac12\%[/tex] of $495
= [tex]\frac{11}{200}[/tex] x 495
= 27.225
Salesperson's commission = $27.225
Amount that the store would get from the sale = selling price - commission
= $495 - $27.225
= $467.775
The store would get $467.775 from the sale of the couch.
giving 20 points pls help me asap
Answer:
fishy camera
Step-by-step explanation:
most distance in feet from surface
The fish camera is furthest from the surface of the water.
which set of numbers could be the size lengths of a right triangle
Answer:
a
Step-by-step explanation:
3x4=12
12/2=6
3,4,6
GUYSSSS PLEASEEEEEEEEEE HELP!!!!!! Your friend is using Descartes’ Rule of Signs to find the number of negative real roots of [tex]x^{3} +x^{2} +x+1=0[/tex]. Describe and correct the error. Correct answer will get brainliest.
Answer:
your answer should be a
Step-by-step explanation:
What is the slope of the line?
Answer:
-2/3
Step-by-step explanation:
Visibly we can see the line passes through (0,3) and (3,1)
The equation for slope is [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}} = \frac{3-1}{0-3}= \frac{-2}{3}[/tex]
I hope this helps! :)
Answer:
Slope = -2/3
Step-by-step explanation:
Rise over run, pick one point of intersection
Go up 2, go to the left until you reach another point of intersection, which is 3 units.
At a basketball game, 65% were supporting the home team, while 35% were supporting the visiting team. If 882 attending the game supported the visiting team, what was the total number of people at the game
Answer: 2520
Step-by-step explanation:
Given: Number of people supported the visiting team = 882
Let x = Total number of people at the game.
As per given,
35% of x = 882 [35% were supporting the visiting team]
[tex]\Rightarrow\ 0.35x=882\\\\\Rightarrow\ x=\dfrac{882}{0.35}\\\\\Rightarrow\ x= 2520[/tex]
Hence, the total number of people at the game = 2520 .
You and your friend skate at the same rate. You complete 8 laps in 13 minutes. How long does your friend take to complete 16 laps?
Find (fºg)(1)
f(x) = x² - 1
g(x) = √x
A.0
B.1
C.4 √2
D. √8
Given:
The function are
[tex]f(x)=x^2-1[/tex]
[tex]g(x)=\sqrt{x}[/tex]
To find:
The value of [tex](f\circ g)(1)[/tex].
Solution:
We have,
[tex]f(x)=x^2-1[/tex]
[tex]g(x)=\sqrt{x}[/tex]
We need to find the value of [tex](f\circ g)(1)[/tex].
[tex](f\circ g)(1)=f(g(1))[/tex] [tex][\because (f\circ g)(x)=f(g(x))][/tex]
[tex](f\circ g)(1)=f(\sqrt{1})[/tex] [tex][\because g(x)=\sqrt{x}][/tex]
[tex](f\circ g)(1)=f(1)[/tex]
[tex](f\circ g)(1)=(1)^2-1[/tex] [tex][\because f(x)=x^2-1][/tex]
[tex](f\circ g)(1)=1-1[/tex]
[tex](f\circ g)(1)=0[/tex]
The value of [tex](f\circ g)(1)[/tex] is 0.
Therefore, the correct option is A.
Who walks faster if hichman walks 84 feet in 7 seconds or Brittany who walks 110 feet in 20 Second
Answer:
Hichman will walk faster.
Step-by-step explanation:
Hichman walks 84 feet in 7 seconds and Brittany walks 110 feet in 20 Second.
We need to say who walks faster.
For Hichman,
Distance, d = 84 feet and time, t = 7 s
Speed,
[tex]v_H=\dfrac{d}{t}\\\\v_H=\dfrac{84}{7}\\\\=12\ ft/s[/tex]
For Brittany,
Distance, d = 110 feet and time, t = 20 s
Speed,
[tex]v_B=\dfrac{d}{t}\\\\v_B=\dfrac{110}{20}\\\\=5.5\ ft/s[/tex]
It can be seen that speed of Hichman is 12 ft/s and the speed of Brittany is 5.5 ft/s. It is clear that the speed of Hichman is more than that of Brittany. Hence, Hichman will walk faster.
Help show your work to
Answer:
1/3 + 1/4 = ?
(1/3 x 4/4) + (1/4 x 3/3)=?
I multiplied like so in order to get equal denominators
4/12+3/12=7/12
Step-by-step explanation: