Answer:
115.7 km/h
Step-by-step explanation:
velocity = distance/time
velocity = (0.9 km)/(28 s) = 0.032143 km/s
The velocity is 0.032143 k/s. The question is answered, but since km/s is not a common unit of speed, we can convert to a more common unit of speed such as km/h.
velocity = (0.9 km)/(28 s)[(3600 s)/(1 h)] = 115.7 km/h
Events A and B are mutually exclusive. Find the missing probability.
P(A) = 3/10 P(B) = ? P(A or B) = 4/5
1/2
2/3
1/5
3/10
Answer:
1/2
Step-by-step explanation:
As they are mutually exclusive P(A and B) = 0 therefore the probability of P(A or B)= P(A) + P(B). Just do 4/5-3/10= 5/10=1/2
The value for P(B) is 1/2.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
P(A) = 3/10, P(B) = ?, P(A or B) = 4/5.
As they are mutually exclusive P(A and B) = 0
So, P( A or B)
4/5 = P(A) + P(B)
4/5 = 3/10 + P(B)
P(B) = 4/5 - 3/10
P(B) = 5/10
P(B) = 1/2.
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Give your best conclusion to the following statement: "Distance between two points on the coordinate plane is related to the pythagorean theorem because..."
Answer:
the Pythagorean formula is a²+b²=c², which is a and b are the x and y distances between points and c is the hypotenuse, which is the distance.
Step-by-step explanation:
Jessica uses 9.6 pints of blue paint and white paint to paint her bedroom walls 4/5 of this amount is blue paint in the rest as white paint how many pints of white paint did she use to paint her bedroom walls express your answer in fraction form
Answer:
Step-by-step explanation:
9.6/5=1.92
1.92= 1 23/25
or 48/25
A bag contains 19 cards numbered 1 through 19. A card is randomly chosen from the bag. What is the probability that the card has an even number on it? Write your answer as a fraction in simplest form. willllll get brainest
Answer:
[tex]\dfrac{9}{19}[/tex]
Step-by-step explanation:
It is given that there are a total of 19 cards ({1,2,3,4, ...... ,19}).
Let S be the set of total cards.
S ={1,2,3,4, ...... ,19}
Total number of observations, n(S) = 19
Even number of cards is the set {2,4,6,8,10,12,14,16,18}
Total number of cards with even number on it = 9
Let E be the event of selecting a card with even number on it.
n(E) = 9
Probability of an event A can be formulated as:
[tex]P(A) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
In this case, formula of P(E) is:
[tex]P(E) = \dfrac{n(E)}{n(S)}[/tex]
[tex]\Rightarrow \dfrac{9}{19}[/tex]
The probability that the card chosen at random is an even number is:
[tex]\dfrac{9}{19}[/tex]
The probability that the card will have an even number will be 0.4737.
From the information given, we are informed that a bag contains 19 cards numbered 1 through 19. Based on the information, the even numbers will be 2, 4, 6, 8, 10, 12, 14, 16, and 18. Therefore, the probability of having when numbers will be:= 9/19 = 0.4737
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In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league. What does the solution of the system represent in this context?
y=35x
y=-0.05(x-400)^2+9,492
the number of sweatshirts that generate the maximum income
the number of sweatshirts that generate the minimum cost
the number of sweatshirts for which the difference between cost and income is greatest.
the number of sweatshirts for which cost and income are equal
Answer:
The number of sweatshirts for which cost and income are equal
Step-by-step explanation:
Let y₁ represent the revenue from selling "x" sweatshirts and y₂ represent the cost of producing "x" sweatshirts, solving the system:
[tex]y_1=35x\\y_2=-0.05(x-400)^2+9,492\\y_1=y_2\\35x=-0.05(x-400)^2+9,492\\-0.05(x-400)^2-35x+9,492=0[/tex]
The solution of the equation above yields the number of sweatshirts for which the cost of production (y₂ ) is equal to the revenue from sales (y₁).
Therefore, the solution represents the number of sweatshirts for which cost and income are equal .
The number of sweatshirts for which cost and income are equal and this can be determined by using the substitution method.
Given :
In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league.The following steps can be used in order to determine the solution of the system of the equation:
Step 1 - Write the given system of equations.
[tex]y = 35x[/tex] ---- (1)
[tex]y = -0.05(x - 400)^2+9492[/tex] ---- (2)
Step 2 - Now, substitute the value of 'y' in equation (2).
[tex]35x = -0.05(x - 400)^2+9492[/tex]
Step 3 - Simplify the above equation.
[tex]35x = -0.05x^2-8000+40x+9492[/tex]
Step 4 - Now, write the above equation in generalized quadratic form.
[tex]0.05x^2-5x-1492=0[/tex]
From the above steps, it can be concluded that the correct statement is given by option D).
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Can you please help please and i will give you a Brainiest please
Answer:
5 grams
Step-by-step explanation:
5*9=45
Answer:
I think the answer is 5 grams
Sorry if it is not correct
Step-by-step explanation:
I think that it is 5 grams because 45 ÷ 9= 5
Which of the following is not a step when drawing an angle?
A. Draw perpendicular lines
B. Draw a ray
C. Make a mark at the correct point on the protractor
D. Connect the mark and the vertex with a line
Answer:
A. Draw perpendicular lines
Step-by-step explanation:
Perpendicular lines are lines that intersect at a 90 degree angle. Unless you are constructing a right angle - or 45 degree angle - you would not need to draw perpendicular lines.
Therefore, answer A is correct.
A sporting goods factory puts out 98 playground balls in each shipment. Each ball costs $2. What is the total cost of playground balls in three shipments? ENTER NUMBERS ONLY
Answer:
$588
Step-by-step explanation:
As each shipment has 98 balls, to determine the total cost of playground balls in three shipments, you have to multiply 98 for 3. Then, after determine the amount of balls in the three shipments, you have to multiply that for the price of each ball:
Total amount= 98*3= 294
Total cost= 294*$2= $588
The total cost of playground balls in three shipments is $588.
There are two numbers such that sum of the numbers is 22 and the difference of their squares is 44. Find their difference.
Answer:
10 and 12
Step-by-step explanation:
12^2=144
10^2=100
144-100=44
Answer:
12 and 10
Step-by-step explanation:
I used just x and y for the two different variables
so
22= x+y
44 = x^2 - y^2
its a simultaneous equation now, so you're able to use that from there
Write an addition equation or a subtraction equation to describe the diagram
Answer:
add the diagram
Step-by-step explanation:
Select the solutions to this quadratic equation:
x2−6x+8 = 0
X=2
x=4
x=0
x=-2
x=1
Answer:
X=2
Step-by-step explanation:
A number cube has faces labeled 1–6. What is the probability of rolling a 2 on the number cube, and then landing on a 3 on this spinner? A spinner containing 6 equal regions containing the following numbers as labels: 2, 2, 3, 3, 6, and 6.
A. 2/6
B. 3/6
C. 1/18
D. 3/36
will give brainliest and 50 points.
Answer:
c
Step-by-step explanation:
use multiplication rule.
1/6 for landing a 2 on the cube and 1/3 for landing a 3 on the spinner
Daniel borrowed $5000 from the bank for 2 years at 9% simple interest per annum. Calculate how much interest Daniel is charged.
Answer:
Daniel is charged $900
Step-by-step explanation:
This is because 9 percent of 5000 is 450. Multiply 450x2 and get 900.
Let a and b be real numbers, where a + b +0.
Which of the following functions could represent
the graph on the right?
f(x) = x (x – a)(x – b)2
f(x) = (x – a)(x – b)2
f(x) = x(x – a)º(x – b)
f(x) = x2(x -a) 2x - b)2
Answer: The first one (A) f(x)= x (x-a)(x-b)²
Step-by-step explanation: Trust me, it’s right
Answer: the first option A
Step-by-step explanation:
what is the formula for figuring out the area of a circle?
Answer:
The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.
Step-by-step explanation:
Answer:i believe it is length times width
Step-by-step explanation:
please help with this problem.
square root of 172 ?
Answer:
13.1148770486
.....................,...
Mr. Smith received a phone call from the bank manager. His bank balance had dropped to - $15 (he had overdrawn his account by $15). Mr. Smith rushed to the bank and deposited $25 into his account. What was Mr. Smith’s new balance after making the $25 deposit?
Answer:
$10
Step-by-step explanation:
(-15) + 25 = 10
Help me if you don't understand 7, leave it. Thanks!
If 5x−4y=22 and 3x+6y=30, what is the value of x−5y
Answer:
-4 See Below:
Step-by-step explanation:
When you have a system of equations, you need to solve for one variable, and subsitute that variable into the other equation to solve for the other variables value.
3x +6y = 30 In this case, it would be easier to solve for x.
3x= 30-6y Divide both sides by 3
x= 10-2y
Now we substitute for x in the other equation.
5x- 4y = 22
5(10-2y)-4y=22
50-10y-4y=22
50-14y=22 Add 14y to both sides
50= 14y + 22 Subtract 22 from both sides
28 = 14y Divide by 14 on both sides.
y = 2
Substitute y=2 and solve for x.
x = 10- 2y
x= 10-2*2
x= 10-4
x= 6
Now we know y=2 and x=6, so we can substitute them into x-5y to find its value.
x - 5y
= 6-5*2
=6-10
= -4
Will mark as brainliest if correct
Answer:
X = 1.09
Step-by-step explanation:
6 to the 1.09th power is 7.04993094301076 so when it is rounded it is 7.
Answer:
the answer is 7
Step-by-step explanation:
log10(6x)=log10(7)
x•log10(6)=log10(7)
x = log10(7)/log10(6)
this works because of
logb(x y) = y ∙ logb(x)
I figured this out from the internet!!
source:TigerAlegbra
Solve using the quadratic formula.
9x to the exponent of two+ x - 9 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals
rounded to the nearest hundredth.
Answer:
This is not really an answer but if you photomath and type in the problem for example “9x^2+x-9=0” you’ll be able to find your answer easily
Step-by-step explanation:
From which set of dimensions could a triangle be constructed?
side length of 7
side length of 8
side length of 15
side length of 8
side length of 5
side length of 14
side length of 6
side length of 3
side length of 10
side length of 2
side length of 6
side length of 7
) Intro
Done
Answer:
Step-by-step explanation:
answer is d- side length of 2 side length of 6 side length of 7
Answer:
It’s D.
Step-by-step explanation:
“Side length of 2, side length of 6, side length of 7”
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One and seventy six hundredths in decimal
Answer:
1.76
Step-by-step explanation:
Answer:
1/76
Step-by-step explanation:
answer please very quickly
"What is the theoretical probability of rolling a prime number on a standard number cube?"
Answer:
There are three prime numbers and 3 even numbers on a number cube, so the probability of each is 3/6 = 1/2
Step-by-step explanation:
Probability of rolling a prime number on a standard number cube is [tex]\frac{1}{2}[/tex] or 0.5.
What is theoretical probability?The theoretical probability is defined as the ratio of the number of favorable outcomes to the number of possible outcomes.
Numbers on a cube are {1, 2, 3, 4, 5, 6}
Total number of favorable outcomes = 6
Number of prime numbers in {1, 2, 3, 4, 5, 6} are {2, 3, 5}.
Number of favorable outcomes = 3
Probability of rolling a prime number on a standard number cube
P = [tex]\frac{Number of favorable outcomes}{Total number of favorable outcomes }[/tex]
P = [tex]\frac{3}{6}[/tex]
P = [tex]\frac{1}{2}[/tex]
Hence, probability of rolling a prime number on a standard number cube is [tex]\frac{1}{2}[/tex] or 0.5.
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Express the required calculation in terms of it and then round to the nearest tenth.
How much fencing is required to enclose a circular garden whose radius is 20 meters?
There are of fencing required.
(Simplify your answer. Type an exact answer in terms of 7.)
There are approximately
of fencing required.
(Round to the nearest tenth as needed.)
Answer:
126m
Step-by-step explanation:
The circumference of the circle would be the amount of fencing required for the circular garden.
Circumference, C = 2πr
π = [tex]\frac{22}{7}[/tex]
C = 2*20*[tex]\frac{22}{7}[/tex]
C = 125.71 m
We need 125.71 meters to fence the garden.
What is the length of a radius of the circle represented by the equation
x2 + y2 - 4x - 4y + 4 = 0?
A) 2 units
B) 4 units
C) 8 units
D) 16 units
Answer:
A) 2 units
Step-by-step explanation:
Given;
x² + y² - 4x - 4y + 4 = 0
Consider general circle equation;
(x - h)² + (y - k)² = r²
where;
(h , k ) is the center of the circle
r is the radius of the circle
x² + y² - 4x - 4y + 4 = 0
subtract 4 from both sides of the equation
x² + y² - 4x - 4y = - 4
square half of coefficient of x and y, and add them to both sides of the equation
x² + - 4x + (-2)² + y² - 4y + (-2)² = - 4 + (-2)² + (-2)²
factorize x and y
(x - 2)² + (y - 2)² = - 4 + 4 + 4
(x - 2)² + (y - 2)² = 4
(x - 2)² + (y - 2)² = 2²
Compare this final equation to general equation of a circle
(x - 2)² + (y - 2)² = 2²
(x - h)² + (y - k)² = r²
r = 2
Thus, the length of a radius of the circle is 2 units
rational or irrational?
Answer:
irrational
Step-by-step explanation:
sqrt(8) = sqrt(4) sqrt(2) = 2 sqrt(2)
sqrt(8) /3 = 2 sqrt(2)/3 which is an irrational number
sqrt(16) =4 which is rational
irrational + rational = irrational
Find the solution set of the inequality 52-3x<-14
Answer:
x>22
Step-by-step explanation:
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RIGHT ANswer trust me