Answer:
[tex]y = \frac{3}{4}x -3[/tex] --- Slope intercept
[tex]4y - 3x =- 12[/tex] --- Standard form
Step-by-step explanation:
Given
The attached linear graph
Required
The equation
Select any two points on the line
[tex](x_1,y_1) = (0,-3)[/tex]
[tex](x_2,y_2) = (4,0)[/tex]
Next, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{0 --3}{4 - 0}[/tex]
[tex]m = \frac{3}{4}[/tex]
The slope intercept is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = \frac{3}{4}(x - 0) -3[/tex]
[tex]y = \frac{3}{4}(x) -3[/tex]
[tex]y = \frac{3}{4}x -3[/tex]
Multiply through bu 4
[tex]4y = 3x - 12[/tex]
Subtract 3x from both sides
[tex]4y - 3x =- 12[/tex] --- Standard form
Find the surface area of the sphere. Round your answer to the nearest hundredth.
A≈1052.09
Hope you have a great life
when accessing your credit card ,information online you cannot
Answer:
C. make purchases
Step-by-step explanation:
took the test
2/3 a minus 1/6 equals 1/3 what is a
Answer:
a = 3/4.
Step-by-step explanation:
2a/3 - 1/6 = 1/3
Multiply thru by the LCD 6:
4a - 1 = 2
4a = 3
a = 3/4.
SOLVE THE SYSTEM USING SUBSTITUTION
HURRY ILL GIVE BRAINLIEST!!!!
What is the area of the given trapezoid?
9)
2.9 km
5.6 km
10.9 km
O 38.64 km2
O 19.3 km2
O 77.28 km?
O 46.44 km2
PLEASE HELP
Answer:
38.64 km^2
Step-by-step explanation:
The formula for the area of a trapezoid is:
[tex]\frac{(b_{1}+b_{2})*h}{2}[/tex]
Where b1 and b2 are the bases and h is the height. We are given 2.9 and 10.9 as the bases and 5.6 as the height. We can plug these values into the formula:
[tex]\frac{(2.9+10.9)*5.6}{2}[/tex]
After entering the expression in the calculator, you get:
38.64 km^2
This is the first option.
Please somebody help me out!!
Answer:
See below.
Step-by-step explanation:
These work just like ordinary algebraic expresssions, except you have to remember always: i^2 = -1 i squared is negative one!
(4 - 3i)(4 + 3i) "FOIL" the expression to get 16 - 3i + 3i - 9i^2. But i^2 = -1, so this is the same as 16 - 3i + 3i + 9. Combine like terms.
Ans. 25
(4 - 3i)(i) Distribute the i to the two terms of the binomial.
4i - 3i^2 = 4i - 3(-1)
Ans. 4i + 3
(6i)(4 + 3i) = (6i)(4) + (6i)(3i) = 24i + 18i^2 = 24i + 18(-1)
Ans. 24i -18
(6i)(i) = 6i^2 = 6(-1)
Ans. -6
(-5)(4 + 3i) = -20 - 15i That's it; there's no i^2 to deal with.
Ans. -20 - 15i
(-5)(i) = -5i Again, that's all there is to it.
Ans. -5i
Ami needs to divide these base-ten blocks into 5 equal groups.
Describe a model that would show how many are in each group.
The model will contain
ten and
ones in each group.
Step-by-step explanation:
The model will contain 1 ten and 4 ones in each group.
How can you check the sample space of a probability model?
Answer: The sample space S for a probability model is the set of all possible outcomes. For example, suppose there are 5 marbles in a bowl. One is red, one is blue, one is yellow, one is green, and one is purple.
Step-by-step explanation: Hope this helped :)
Which of the following relation is a function.
Answer:
Which of the following relations is a function- A
Determine which relation is a function- A
Step-by-step explanation:
A function is a type of relationship where x's do not repeat. So, to solve find where each y has a unique x value. In the first question, A is correct because the x values; -3, 0, 2; never repeat. Then, on the next question A is correct because it is a relation written in slope-intercept form, which is a type of function notation.
If the line that connects the boat to the parasail is reeled in by 20
meters and the angle of elevation changes to 38° from the boat, how
many meters above the lake is the man to the nearest tenth of a
meter?
A)
67.4 m
B)
85.6 m
9
86.3 m
D)
177.9 m
Answer:
A) 67.4 m
Step-by-step explanation:
Let "x" represent how many meters above the lake is the man
Reference angle = 32°
Opposite = x
Hypotenuse = 129.5 m
Apply ye trigonometric function SOH:
Sin 32° = Opp/Hyp
Son 32 = x/129.5
129.5 × sin 32° = x
x = 68.6245447
This is close to A) 67.4 m
The question is ...(see the picture)
Thank you very much!!
Answer: [tex]3x^{-2.5}[/tex]
Step-by-step explanation:
Given
Expression is
[tex]\dfrac{12\sqrt{x}}{4x^3}[/tex]
Using exponent property [tex]x^a\cdot x^b=x^{a+b}[/tex]
Writing expression in the form of [tex]k\cdot x^n[/tex]
[tex]\Rightarrow \dfrac{12\sqrt{x}}{4x^3}=\dfrac{3\times 4}{4}\times \dfrac{x^{0.5}}{x^3}\\\\\Rightarrow \dfrac{3\times 4}{4}\times x^{0.5-3}\\\\\Rightarrow 3x^{-2.5}[/tex]
Equation: -5 3/4- 3 1/2 Please help meh.
Answer:
[tex]-9\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]-5\frac{3}{4}-3\frac{1}{2}[/tex]
Step 1: Factor out the common term [tex]-1[/tex]
[tex]=-\left(5\frac{3}{4}+3\frac{1}{2}\right)[/tex]
Step 2: Add the whole numbers
[tex]5 + 3 = 8[/tex]
Step 3: Combine the fractions:
[tex]\frac{3}{4}+\frac{1}{2} = \frac{5}{4}\\\\=-\left(8+\frac{5}{4}\right)[/tex]
Step 4: Convert the improper fractions to mixed numbers
[tex]\frac{5}{4} = 1\frac{1}{4}\\\\=-\left(8+1\frac{1}{4}\right)[/tex]
Step 5: Add the numbers
[tex]8 + 1 =9 \\\\=-9\frac{1}{4}[/tex]
Therefore, the answer to the equation is [tex]-9\frac{1}{4}[/tex] in fraction, and decimal; [tex]9.25[/tex]
Use the following number line to determine if the expressions are true or false.
I need help question attached. 20 point!
Answer:
[tex]45\:\mathrm{in}[/tex]
Step-by-step explanation:
The volume of a square pyramid is given by [tex]V=\frac{1}{3}\cdot s^2\cdot h[/tex]. Substituting given values, we have:
[tex]3,840=\frac{1}{3}\cdot 16^2\cdot h,\\h=\frac{3,840\cdot 3}{256}=\boxed{45}[/tex]
Answer:
30 in.
Step-by-step explanation:
[tex]h=3\frac{V}{a^{2} }[/tex]
[tex]h=3\frac{3840}{16^{2} }[/tex]
45.12
That is not an option, so go with the closest one 30 in.
Need help plz I’ll give you Brainly
the simple interest on a sum of money is 25% of the rate percent per annum find the rate
si =25%*p
rate =term=t
from si= ptr/100
term = rate = 5
What is the 100th term of this sequence?
an= -7n+ -5
The stadium vending company finds that sales of hot dogs average 35,000 hot dogs per game when the hot dogs sell for $2.50 each. For each 25 cent increase in the price, the sales per game drop by 2000 hot dogs. Determine a function R x that models the total revenue per game, where x is the number of $0.25 increases in the price of a hot dog.
Answer:
A function R x that models the total revenue per game is as follows:
Rx = 87,5000 + 3,750x – 500x^2.
Step-by-step explanation:
Based on the information in the question, we have:
Rx = Total revenue per game
x = Number of $0.25 increases in the price of a hot dog
Average sales of hot dogs = 35,000
Effect of each 25 cent increase in the price on average sales = 35,000 - 2000x
Effect of each 25 cent increase in the price on selling price = 2.5 + 0.25x
Therefore, we have:
Rx = (35,000 - 2000x)(2.5 + 0.25x)
This can be solved further by opening the brackets as follows:
Rx = 87,5000 + 8,750x - 5,000x - 500x^2
Rx = 87,5000 + 3,750x – 500x^2
Therefore, a function R x that models the total revenue per game is Rx = 87,5000 + 3,750x – 500x^2.
Find the area of the parallelogram in square meters
Answer: 27
Step-by-step explanation:
9*3
A square pyramid is rotated about a line perpendicular to the base and through the vertex. What angle of rotation maps the pyramid onto itself?
30º
45º
60º
90º
Answer:
I think the answer is 30°. Please tell me if I'm wrong.
Answer: 90 Degrees
Step-by-step explanation:
I upped the steaks plz answer this, I will give brainiest
Answer:
[tex] \displaystyle x = \frac{3}{4} [/tex]
Step-by-step explanation:
we are given that
[tex] \displaystyle P = \left(x, - \frac{ \sqrt{7} }{4} \right)[/tex]
we want to figure out x
remember that,
In unit circle x coordinate is considered cos and y coordinate is considered sin
so in order to figure out x we should figure out the value of cos to do we can consider Pythagoras trig indentity
given by
[tex] \displaystyle \sin ^{2} ( \theta) + { \cos}^{2} ( \theta) = 1[/tex]
we are given sin=-√7/4 thus
substitute:
[tex] \displaystyle \left( - \frac{ \sqrt{7} }{4} \right) ^{2} + { \cos}^{2} ( \theta) = 1[/tex]
simplify square:
[tex] \displaystyle \frac{7}{16} + \cos ^{2} ( \theta) = 1[/tex]
move left hand side expression to right hand side and change its sign:
[tex] \displaystyle \cos ^{2} ( \theta) = 1 - \frac{7}{16} [/tex]
simplify Substraction:
[tex] \displaystyle \cos ^{2} ( \theta) = \frac{9}{16} [/tex]
square root both sides:
[tex] \displaystyle \cos ^{} ( \theta) = \pm\frac{3}{4} [/tex]
since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable
hence,
[tex] \displaystyle x = \frac{3}{4}[/tex]
I need help for this question
The line passes through points (2,7) and (4,8)
Answer:
Explanation:
hope it will helps please heart my answer!
3. Shyann is flipping a quarter and flips 8 tails in a row. Should the next flip most likely be a
heads to balance it out? Explain your reasoning.
What is formula for area of the base of a cylinder? A) Area = Pi/r. B) Area= Pi *r C) A= Pi* r ^. or. (r*r). D) A= diameter* radius
Answer:
The formula for the area of the base of a cylinder is π r²
This is part two of the problem go check part one so it makes sense
Answer:Execute Order 66
Step-by-step explanation:
Answer:
Step-by-step explanation:
Assuming that the original figure is the black one
Area of the original figure = 2 x 3 = 6
A (0,1) -> A’ (0,3)
B (2,1) -> B’ (6,3)
C (2,4) -> C’ (6, 12)
D (0,4) -> D’ (0,12)
AB = 6
BC = 9
Area of the final figure = 9 x 6 = 54
b)
area of the final figure = 9 x area of the original figure
c)
true, because their side are proportional
Question 26 of 40
How does the graph of f(x) = -45% - 3 differ from the graph of g(x) = -45%?
O A. The graph of f(x) is shifted three units to the right of the graph of
g(x).
O B. The graph of f(x) is shifted three units down from the graph of
g(x).
C. The graph of f(x) is shifted three units to the left of the graph of
g(x).
O D. The graph of f(x) is shifted three units up from the graph of g(x).
In a certain Algebra 2 class of 30 students, 14 of them play basketball and 10 of them play baseball. There are 14 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Help a man out
Complete steps to find x
+( 7×+24)=128
Answer:
8x=104
Step-by-step explanation:
The answer above is the question simplified down
The fish population is decreasing at a rate of 3% per year. In 2002 there were about 1600 fish. Find the fish population in 2010. Round to the nearest whole number
Answer:
Population of fish in