What is the y-intercept of this equation?
5x + 4y = 8
Answer:
2
Step-by-step explanation:
5x + 4y = 8
5*0 + 4y = 8
y = 8/4
y=2
Is 28 square foot rational
Answer:
Yes.
Step-by-step explanation:
A rational number is a number that is a result when you divide two integers.
Solve for x. Show your work.
In circle L with m
90
60
30
15
Answer:
B. 60°
Step-by-step explanation:
minor arc KM = 2×30° = 60°
-3x+15y=-30
-4x+5y=5
Answer:
(-5,-3)
Step-by-step explanation:
The answer is (-5,-3)
9 weeks 2 days = ?
days?
Answer:
9weeks 2days = (9 × 7) + 2 = 63 +2=65 days
Step-by-step explanation:
Answer:
65 days
Step-by-step explanation: 7 days in a week so times that by 9 because its 9 weeks and that is 63 and add 2 more days
If a is negative, then
is negative.
The question is in the photo, that answer is not correct. At least I do not know if it is.
Answer:
Step-by-step explanation:
To get the solution lying in the shaded region,
Justify the equation with the given options,
Option (1)
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
For (1, 1),
[tex]\frac{1^2}{16}+\frac{1^2}{4}\leq 1[/tex]
[tex]\frac{1}{16}+\frac{1}{4}\leq 1[/tex]
[tex]\frac{1+4}{16}\leq 1[/tex]
[tex]\frac{5}{16}\leq 1[/tex]
True.
Therefore, point (1, 1) justifies the equation.
Option (2)
For (4, 1),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{4^2}{16}+\frac{1^2}{4}\leq 1[/tex]
[tex]1+\frac{1}{4}\leq 1[/tex]
[tex]1\frac{1}{4}\leq 1[/tex]
False.
Therefore, point (4, 1) doesn't justify the equation.
Option (3)
For (-1, 2),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{(-1)^2}{16}+\frac{(2)^2}{4}\leq 1[/tex]
[tex]\frac{1}{16}+1\leq 1[/tex]
[tex]1\frac{1}{16}\leq 1[/tex]
False.
Therefore, point (-1, 2) doesn't justify the equation.
Option (4)
For (2, -2),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{2^2}{16}+\frac{(-2)^2}{4}\leq 1[/tex]
[tex]\frac{1}{4}+1\leq 1[/tex]
[tex]1\frac{1}{4}\leq 1[/tex]
False.
Therefore, point (2, -2) doesn't justify the equation.
Option (1) will be the answer.
¿Qué gráfica se utiliza puntos para representar los datos y luego se unen por
segmentos?
Answer:
English plss
Step-by-step explanation:
someone please help me
Answer:
3rd
Step-by-step explanation:
PLS PLS PLS HELP I WILL MARK BRAINLIEST :)))
Answer:
28.3
Step-by-step explanation:
the formula for area is πr²
where π is 3.14
r is 3
area= 3.14 x 3²
area= 3.14 x 9
area= 28.28 approximately 28.3
-f(x) = 2x + 15,f(6)
Answer:
−f(x)=2x+90f
Step-by-step explanation:
Find the area of the following surfaces using an explicit description of the surface.
The paraboloid z=2(x2+y2), for 0<=z<=8.
Answer:
68.47
Step-by-step explanation:
Given that:
The surface of the paraboloid [tex]z = 2(x^2 +y^2) \ for \ 0 \le z \le 8[/tex]
TO find the area of the given paraboloid, we need to first determine [tex]z_x \ and \ z_y[/tex].
This is because the surface area can be determined by using the formula:
[tex]\int \int _R \sqrt{z_x^2+z_y^2+ 1}\ dA[/tex]
Thus;
[tex]z_x = \dfrac{\partial }{\partial x}(2 ( x^2 +y^2) )[/tex]
[tex]z_x = 4x[/tex]
[tex]z_y = \dfrac{\partial }{\partial y }(2(x^2 +y^2))[/tex]
[tex]z_y = 4y[/tex]
Now;
[tex]\sqrt{z_x^2 + z_y^2 +1 } = \sqrt{(4x)^2 + (4y)^2+1 } \\ \\ \implies \sqrt{16x^2+16y^2+1}[/tex]
[tex]\implies \int \int \sqrt{16x^2 +16y^2+1}\ d x dy \\ \\ \implies \int \int \sqrt{16(x^2+y^2)+1 } \ dxdy[/tex]
Using the polar coordinate since the paraboloid shows the projection of a circle with [tex]x^2+y^2 =4[/tex]
[tex]\int \int \sqrt{16(x^2+y^2)+1 } \ dxdy = \int^{2 \pi}_{0} \ \int^{2}_{0} r \sqrt{16r^2+1} \ dr d\theta \\ \\ \implies \dfrac{1}{48} \Big ( ( 16r^2 +1 )^{\dfrac{3}{2}}\Big) ^2_0 \ \ \int ^{2 \pi}_{0} \ d \theta \\ \\ \implies \dfrac{2 \pi}{48} \Big ( (65^{\dfrac{3}{2}} -1 ) \Big) \\ \\ \implies \dfrac{2 \pi}{48}(523.046) \\ \\ \implies \mathbf{68. 47}[/tex]
Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to
Spend exactly $80. How many miles can he drive?
Answer: 0
Step-by-step explanation:
Answer:
500 miles
Step-by-step explanation:
20 + .12m = 80
.12m = 60
m = 60/.12
m = 500
There are 67 cards in a card game deck.
How many cards in 4 decks?
Answer:
67*4 = 268 cards
hope this helps
Step-by-step explanation:
Answer:
you just need to *
Step-by-step explanation:
67 * 4 = 268!
have a lovely day and god bless you and ur family ! hope this helped
-lei
Brenda recorded the amount of time it took to cook potatoes in a microwave.
Are the data proportional? How do you know?
Answer:
Yes. As we can see, there is a clear pattern for what we see. For every potato, we have to cook it for an extra 5 minutes. Thus, as the data is constant in the pattern, it is proportional.
Answer:
Yes, the data is proportional. We know this because, in each scenario, the input is multiplied by 5 to produce the output.
Step-by-step explanation:
2 × 5 = 10
3 × 5 = 15
5 × 5 = 25
Researchers at a major car company have found a function that relates gasoline consumption to speed for a particular model of car. In particular, they have determined that the consumption, C, in liters per kilometer, at a given speed, s. is given by a function C = f(s), where s is the car's speed in kilometers per hour.
Required:
a. What are the units on f'(s)?
b. Data provided by the car company tells us that f(80) = 0.015, f(90) = 0.02, and f(100) = 0.027. Use this information to estimate the instantaneous rate of change of fuel consumption with respect to speed at s = 90
Answer:
(a) The units of f'(s) is kilometer per liter
(b) [tex]\triangle = 2.22 * 10^{-4}[/tex]
Step-by-step explanation:
Given
[tex]C = f(s)[/tex]
[tex]f(80) = 0.015, f(90) = 0.02, f(100) = 0.027[/tex]
Solving (a): Unit of f'(s)
From the question, we understand that:
[tex]C = f(s)[/tex]
and
[tex]C = Litre/km[/tex] --- units
f'(s) is the inverse of C.
Hence:
i.e.
[tex]f'(s) = C^{-1}[/tex] --- units
So, we have:
[tex]f'(s) = (Litre/km)^{-1}[/tex]
[tex]f'(s) = Km/Litre[/tex]
Solving (b): Instantaneous rate of change at:
[tex]s = 90[/tex]
We have:
[tex]C = f(s)[/tex]
The change is calculated as:
[tex]\triangle = \frac{f(s)}{s}[/tex]
Substitute 90 for s
[tex]\triangle = \frac{f(90)}{90}[/tex]
Given that: [tex]f(90) = 0.02[/tex]
[tex]\triangle = \frac{0.02}{90}[/tex]
[tex]\triangle = 0.000222[/tex]
[tex]\triangle = 2.22 * 10^{-4}[/tex]
What is the volume of this triangular pyramid?
5 yd
3 yd
3 yd
Answer:
45
Step-by-step explanation:
volume=length x width x height
5x3x3=45
ASAP PLS HELP!!! Find the value of x
A)127
B)147
C)53
D)None of these answer
E)37
Answer:
should be C
Step-by-step explanation:
They are congruent
In the picture, the angle diagnoly across from the 4th angle is congruent (or equal to) the angle making 5 and that angle congruent.
Meiko is hanging a picture-collage on her wall. It is in the shape of a parallelogram. How much wall area will it cover?
A parallelogram has a base of 18 inches and a height of 28 inches.
156 in.2
252 in.2
504 in.2
576 in.2
Answer:
504 in.^2
Step-by-step explanation:
Area = base times height
Answer:
1,080 in.2
1,260 in.2
✔ 1,620 in.2
2,160 in.2
or C for the lazy people, don't sweat it - im lazy too
A researcher posts a newspaper advertisement offering $20 in exchange for participation in a short study. The researcher accepts the first five people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) It is not a valid sample because it is only a short study. It is a valid sample because money was offered to participants. It is a valid sample because the first five people were selected to participate. It is not a valid sample because it is not a random sample of the population.
Answer:
C : VALID
Step-by-step explanation:
Find the surface area of the triangular prism shown below.
Answer:
150ft²
Step-by-step explanation:
surface area = (2×½×8×3)+(8+5+5)×7
= 24+126
= 159 ft²
Which number is an integer?
Answer:
0
Step-by-step explanation:
0 is an integer.
plz mark as brainliest
A pet store is selling dogs for $140 and cats for $70. If 28 pets were sold and the
receipts were $3360, how many cats were sold?
8
Step-by-step explanation:
8 × $70 = $560
20 × $140= $2800
$560 + $2800 = $3360
Which equation represents a line which is parallel to the y-axis?
a) x= 1/4y
b) x= -7
c) y= 2
d) y= x
Answer:
b) x = -7
Step-by-step explanation:
x = -7 is a vertical line
vertical lines are parallel to the y axis
Given that A, O & B lie on a straight line segment, evaluate
x
.
Answer:
Step-by-step explanation:
It is the same way:
we know that
if A , O and B lie on a straight line segment
then
∡AOY+∡YOZ+∡ZOB=180°
so
3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°
the answer is
x=36°
please mark me as brainliest
Pleaseeeeeeeeee helppppp
The population of the world in 1987 was 5 billion and the growth rate was estimated at3 percent per year.the population size (in billions) can be modeled by the formula A = 5(1.03)t where t is the number of years after 1987. Find the projected world population in 1995 . Give your answer in terms of billions of people.
Answer:
6.3 billion people
Step-by-step explanation:
[tex]A=5(1.03)^t[/tex]
The "base year" is 1987 when there were 5 billion people. That year corresponds to t = 0 (t measures years after 1987)
That makes 1995 = 1995 - 1987 = 8, so t = 8.
Evaluate [tex]A=5(1.03)^8 \approx 6.3[/tex]
Can anyone please help me
Answer:
-5
-8
49
Step-by-step explanation:
if a circle has a enter of (-5,-8) the first part looks like
(x+5)²+(y+8)²
to find the radius just plug in x=2 and y= -8
(2+5)²+(-8+8)²
7²+0=49
Find the values of the variables
Answer:
[tex]x = 7[/tex]
[tex]y =16[/tex]
Step-by-step explanation:
Given
The attached image
Required
Find x and y
From the sign on each line, we have:
[tex]y - 4 = x + 5[/tex]
[tex]2x + 5 = x + 12[/tex]
Collect like terms
[tex]2x-x=12 - 5[/tex]
[tex]x = 7[/tex]
We have: [tex]y - 4 = x + 5[/tex]
Substitute [tex]x = 7[/tex]
[tex]y - 4 = 7+5[/tex]
[tex]y - 4 = 12[/tex]
So:
[tex]y = 12+4[/tex]
[tex]y =16[/tex]