Using the letters suggested, construct a simple formula:
A car travels a km/h for b km and makes another journey at c km/h for d km.
a. Find the total distance (s km) the car travels
b. Find the formula for the Average Speed of the entire journey.
Answer:
Speed = distance / time
Time = distance/ Speed
Distance = Speed x time
How many solutions
Line A: x + y = 2
Line B: 2x + y = 4
Answer:
1 solution (2, 0 )
Step-by-step explanation:
Given the 2 equations
x + y = 2 → (1)
2x + y = 4 → (2)
Subtract (1) from (2) term by term to eliminate y
2x - x + y - y = 4 - 2 , that is
x + 0 = 2
x = 2
Substitute x = 2 into either of the 2 equations and evaluate for y
Substituting into (1)
2 + y = 2 ( subtract 2 from both sides )
y = 0
one solution is (2, 0 )
13 - [(3² x 4) - 30]
Answer:
7
Step-by-step explanation:
13 - [(3² x 4) - 30]
13 - [(9 x 4) - 30]
13 - (36 - 30)
13-6
7
Answer:
7
Step-by-step explanation:
I think the answer you're looking for is 7
Which table represents a function
Answer:
A
Step-by-step explanation:
because it passes the vertical line test and also for every x, there is only one y
Given F(x) = 3x-2 and G(x) = 4-x2. Evaluate 2F(1) - 3G(3).
Answer:
[tex]9x^{2} -34[/tex]
Step-by-step explanation:
Use the given functions to set up and simplify [tex]2F(1)-3G.3.[/tex]
The point in the middle between 3G and 3 is a multiplication sign btw
unction f(x) = (x − 4)(x − 2) is shown. On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0). What is the range of the function? all real numbers less than or equal to 3 all real numbers less than or equal to −1 all real numbers greater than or equal to 3 all
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Answer:
(d) all real numbers greater than or equal to -1
Step-by-step explanation:
The y-value of the vertex at (3, -1) is the minimum of the function. All y-values equal to or greater than -1 are in the range of the function.
y ≥ -1
Solve:
22,064 ÷ 394=
Answer: 56
394 goes into 22064 56 times.
Answer:
0.056
The Answer is 56!!!!
Step-by-step explanation:
(100 POINTS WILL MARK BRAINLIEST FOR ACTUAL ANWSERS) Write an equation in standard form of the ellipse with vertices (0,-2) and (8,-2), and a focus located at (7,-2)
Answer:
(x-4)^2 / 16 + (y+2)^2 / 7 = 1 or 7x^2-56x+16y^2+64y+64=0
Step-by-step explanation:
Either one should be right I think. Hope this helps.
Please help me I've been on this question for like and hour-
Answer:im so sorry i dont know this one
Step-by-step explanation:but i would try adding subtracting or divison
Answer:
21
Step-by-step explanation:
We can use a proportion to solve this problem
8 : 33.6 = 5 : OP
OP = (33.6 x 5)/8 = 21
Consider the sequence 1, 3, 9, 27, 81, … Which statement describes the sequence? The sequence diverges. The sequence converges to 1. The sequence converges to ∞. The sequence converges to –∞.
ANSWER: A
Answer:
a
Step-by-step explanation:
just took it!
Simplify 5 (x + 2) + 2 (x - 5)
Answer: 7x let me know if you need an explantion.
WILL
GIVE
BRAINLIST
FIND THE OPPOSITE OF THE NUMBER
21
Answer:
it's
-21
or 12
which one you mean
A large popcorn bag holds four times as much as a small popcorn bag. At the end of a party,
3 1/3 small bags and 2 1/4 large bags were left.
a) How many small bags would the leftover popcorn fill?
b) How many large bags would the leftover popcorn fill?
Please help me fast, also show all work and steps please:)
Answer:
A] 37 / 3 = 12 1/3 ; B] 37 / 12 = 3 1/12
Step-by-step explanation:
Let small popcorn bag hold = p units popcorn. So, large popcorn bag hold 4 times ie 4p units popcorn.
Left popcorn = 3 1/3 ie 10 / 3 small bags , & 2 1/4 ie 9 / 4 large bags.
So, total popcorn left = Sum( No. of popcorn in each bag x no of bags) = [ 10 p / 3 ] + [ (9 x 4) p / 4 ] = 10p / 3 + 9p = (10p + 27p) / 3 = 37p / 3
A] Small bags for left popcorn = Total left popcorn / Per small bag popcorn = ( 37p / 3 ) / (p) = 37 / 3 = 12 1/3
B] Large bags for left popcorn = Total left popcorn / Per large bag popcorn = ( 37p / 3 ) / (4p) = 37 / 12 = 3 1/12
Mathematics
10³x10³x10²
Answer:
100,000,000/10^8
Step-by-step explanation:
10^3 = 1000
10^3 = 1000
10^2 = 100
Therefore,
= (1000) x (1000) x (100)
= (100,000) x (100)
= 100,000,000
or
= 10^8
Help please this is for an important test
A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.
What is the probability that the first three students all randomly select a pen with blue ink?
A. 1/4
B. 1/27
C. 1/64
D. 1/220
We have 12 pens in total
P(first three pens are blue with replacement) = 3/12 * 3/12 * 3/12 =
(1/4) * (1/4) * (1/4) =
1/ 64
The required probability that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.
Given that,
A cup on the teacher's desk contains 12 pens. There are 3 pens with blue ink and 9 pens with black ink. One student at a time selects a pen at random to sign the attendance sheet and then puts the pen back in the cup.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total number of sample = 12
Favorable outcome = 3
Required probability that the first three students all randomly select a pen with blue ink = 3 / 12 × 3 / 12 × 3 / 12
= 1 / 64
Thus, the required probability that the first three students all randomly select a pen with blue ink is 1/64. option C is correct.
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Can somebody help, will give brainliest
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Answer:
c = 2segments 10, 8, 6 (top down)Step-by-step explanation:
The sum of top and bottom bases is twice the midsegment.
(c² +6) +(c² +2) = 2(4c)
2c² -8c +8 = 0 . . . . . . . . . subtract 8c
2(c -2)² = 0 . . . . . . . . factor
c = 2 . . . . . . the value that makes the binomial be zero
The value of c is 2; the segment lengths (top-down) are 10, 8, 6.
Solve (x + 4)2 – 3(x + 4) – 3 = 0 using substitution. u = x + 4 Select the solution(s) of the original equation.
Answer:
-7
Step-by-step explanation:
2(x+4)-3(x+4)-3=0
2x+8-3x-12-3=0
-x+8-15=0
-x-7=0
+7 +7
-x=7
/-1 /-1
x=-7
--
hope it helps
Answer:
B and D buster
Step-by-step explanation:
Find the volume of a sphere with a diameter of 6.2 in.
Answer: its 23 meters
Step-by-step explanation:
The volume of a sphere with a diameter of 6.2 in is 39.72π
What is the volume of the sphere?The volume of a sphere is defined as the total amount of capacity applied in a sphere that can be calculated using the volume formula for the sphere which is V = (4/3)πr3.
The radius of the sphere is;
[tex]\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{6.2}{2}\\\\Radius=3.1[/tex]
The volume of the sphere is;
[tex]\rm Volume =\dfrac{4}{3}\pi r^3\\\\Volume =\dfrac{4}{3}\pi (3.1)^3\\\\Volume = 39.72\pi[/tex]
Hence, the volume of a sphere with a diameter of 6.2 in is 39.72π.
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At the end of each day of a bowling competition, half of the bowlers are eliminated until a winner is determined. There are 320 bowlers on day 1 of the competition. Which equation represents the number of bowlers, y, on the day x of the competition
Answer:
Step-by-step explanation:
Y= 320(1.5)^x-1
In this exercise we have to use the data informed in the text and perform the assembly of an equation in this way we find that:
[tex]Y=320(0.5)^X-1[/tex]
Some data were informed in the text for this equation to be written, so:
Y: the number of bowlersX: on the day320 bowlersNow writing the equation representing the given information is:
[tex]Y=320(0.5)^X-1[/tex]
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Suppose two rectangles have the same area. Must they have the same length and width? Explain.
Answer:
no
Step-by-step explanation:
Two rectangles having the same area do not need to have the same length and width. The length and width of the rectangle are just factor pairs of the number that is the area. For example, if the area was 12, the side lengths would be 1 and 12, 2 and 6, or 3 and 4. As you can see, those aren't the same lengths and widths. A rectangle may be 1x12 and another may be 3x4, but they have the same area.
Order these numbers from least to greatest: 5, 0, 1, -13 -1-1
Answer:
-1 1/2, -1, 0, 1/2, 1
Step-by-step explanation:
No file, guessing, or random answers
a population has a standard deviation of 20.2. what is the standard error of the sampling distribution if the sample size is 121? round your answer to two decimal places.
A) 1.84
B) 1.44
C) 1.55
D) 1.68
Answer:
A) 1.84
Step-by-step explanation:
I just took the quiz
The standard error of the sampling size is 121 is 1.84
What is standard error?"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."
"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:
σx = σ / sqrt(n)."
Given,
Standard deviation of the sample is 20.2
and sample size is = 121
Standard error is = [tex]\sigma/\sqrt(n)[/tex]
i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84
Hence, option A is true.
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Question 1
Simplify the following arithmetic expression without using a calculator:
1/2 + 7/8 X 49/8 = 7/2 - 3/32
12-1/2 x 271/2
Answer:
0 = 0 = 0 = 0 = 0 < 1/
2
< 7/
8
< 7/
2
< 49/
8
< 12 < 271/
2
0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1/
2
is less than 7/
8
is less than 7/
2
is less than 49/
8
is less than 12 is less than 271/
2
0/
8
= 0/
8
= 0/
8
= 0/
8
= 0/
8
< 4/
8
< 7/
8
< 28/
8
< 49/
8
< 96/
8
< 1084/
8
Step-by-step explanation:
I need help ASAP!!!!!! Calculate the slope of the line through the points (-1, 1) and (4, 0).
A. 5x
B.-1/5
C.1/5
D.-5
Answer:
B. -1/5
Step-by-step explanation:
To find the slope we place (0-1) over (4- (-1))
If x= 2/3 and x = – 3 are roots of the quadratic equations ax2 + lx + b = 0, find the values of a and b.
Answer:
Step-by-step explanation:
ax² + 7x + b
Substituting 2/3 in equation
4a/9 + 14/3 +b = 0
4a/3 + 14 + 3b = 0
4a + 42 + 9b = 0 ------> (i)
Substituting -3 in equation
9a - 21 + b = 0
81a - 189 + 9b = 0 ------> (ii)
Elimination method
a = 3
substituting in any equation
b = -6
sine is positive in
Your answer:
o the 1st and 2nd quadrants
O the 1st and 3rd quadrants
o the 1st and 4th quadrants
o the 2nd and 3rd quadrants
Please help
Answer:
sin is only positive in 1st and 2nd quadrants
Step-by-step explanation:
As you may know, sine is defined as y-term or value in (x, y). You can go see a unit circle.
Remember that sine is y while cosine is x.
Since sine is y, It'd be a horizontal line. And since it's a horizontal line, it intersects two points in a unit circle.
Q1 and Q2 both are positive while Q3 and Q4 are negative.
Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack. She chooses one pencil at random, puts it back, and then chooses another pencil .
The probability that Chloe chooses a blue pencil and then a red pencil is
The probability that Chloe chooses the yellow pencil and then a blue pencil is
No links please :)
Answer:
A) P(chooses a blue pencil and then a red pencil) = 5/27
B) P(chooses yellow then blue) = 5/81
Step-by-step explanation:
She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack
Thus;
total number of pencils = 3 + 5 + 1 = 9 pencils
A) probability that she chooses a blue pencil and then a red pencil;
P(blue) = 5/9
Now she puts it bag after choosing which means the sum is back to 8 pencils.
Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3
Thus;
P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3
P(chooses a blue pencil and then a red pencil) = 5/27
B) probability that Chloe chooses the yellow pencil and then a blue pencil;
Similar to A above;
P(yellow) = 1/9
P(blue) = 5/9
P(chooses yellow then blue) = 1/9 × 5/9
P(chooses yellow then blue) = 5/81
¿Cuál de las siguientes respuestas es equivalente a 5 km?
(3 puntos)
50.000 metros
500 metros
5.000 metros
0.005 metros
Answer:
5
[tex] 5 \times 100 = 500[/tex]
Item 2
Jake ran 145 meters before lunch and 389 meters after lunch.
How many kilometers did Jake run in all?
A. 0.00534 km
B. 0.0534 km
C. 0.534 km
D. 5.34 km
can I get help with this 3m⁵ x 3m⁷