the answer is 3 and thats cause if you were to multiply 12x75 you get 900, and if 1 gallon of paint covers 400 square feet then you will need 3 gallons to get to 900. so there for the answer is 3
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Two functions are by f(x)=3x+18(x)= 2 x1. Find (g.f) (x).
The (g.f)(x) of the two functions is:
(g.f) (x) = 6x + 37
How to find (g.f)(x) of the two functions?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
To find (g.f) (x), follow the steps below:
1. Substitute the value of f(x) into the function g(x).
2. Then simplify the expression.
That is:
f(x) = 3x+18
g(x) = 2x+1
Thus, we have:
(g.f) (x) = g(f(x))
(g.f) (x) = g(3x+18)
(g.f) (x) = 2(3x+18) + 1
(g.f) (x) = 6x+36 + 1
(g.f) (x) = 6x + 37
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Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 70 feet?
Group of answer choices
439.6 feet
3846.5 feet
109.9 feet
1758.4 feet
The Distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.
The distance the handler will move from the starting point to the return point when creating an arc of a circle with a radius of 70 feet, we need to find the length of the arc.
The formula to calculate the length of an arc is given by:
Length of arc = (θ/360) * 2πr
Where:
θ is the central angle of the arc (in degrees)
r is the radius of the circle
In this case, since the handler is creating a full circle, the central angle is 360 degrees.
Length of arc = (360/360) * 2π * 70
Length of arc = (1) * 2π * 70
Length of arc = 2π * 70
Length of arc = 140π
To find the approximate value in feet, we can use the approximation π ≈ 3.14159.
Length of arc ≈ 140 * 3.14159
Length of arc ≈ 439.8204 feet
Therefore, based on the given theory and using a circle with a radius of 70 feet, the distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.
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Find the 19th term in the geometric sequence, the first term being a=4 and the common ratio being r=2
The 19th term of a geometric sequence is 1048576.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
a = 4 and r = 2
The nth term of a geometric sequence.
= a\(r^{n-1}\)
Now,
The 19th term of a geometric sequence.
= a\(r^{n-1}\)
Substituting a and r values.
= 4 x \(2^{19 - 1}\)
= 4 x \(2^{18}\)
= 4 x 262144
= 1048576
Thus,
The 19th term of a geometric sequence is 1048576.
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HELP ASAP
In the diagram, m ZAFB = 78°
Which angle is supplementary to ZAFB and what is its measure?
Answer:
Angle AFE = 102(degree symbol)
Step-by-step explanation:
supplementary means two angles that add up to 180
hope this helps! :)
Answer:
The angle supplementary to ∠AFB is ∠EFA.
The reason why this is, is because a supplementary angle consists of two angles that have a sum of 180°.
Supplementary angles combine to form a straight line.
In this case, ∠EFA is the supplement of ∠AFB because, ∠EFA is the other part of the angle, AFB, that creates a full straight line(180°).
And to find the value of m∠EFA you would need to arrange an equation.
Since we know that the given angle measure of AFB is 78°, ∠EFA would have to equal a different measure so that both measures will have a sum of 180°.
We will consider the value of m∠EFA to be 'x' in our equation, so;
x + 78 = 180°
Solve for x:-
-78 -78
x = 102°, therefore m∠EFA = 102°.
Information
In the scalene triangles shown, angle P is congruent to angle J.
Two scalene triangles. Small triangle P Q S and large triangle J K L. Angle P is congruent to angle J.
Question
Which statement will prove that triangle P Q S is similar to triangle J K L?
Answer options with 4 options
A.
angle Q is congruent to angle L
B.
angle Q is congruent to angle S
C.
StartFraction P Q over J K EndFraction is congruent to StartFraction Q S over J L EndFraction
D.
StartFraction P Q over J K EndFraction is congruent to StartFraction P S over J L EndFraction
PQ/JK is congruent to PS/JL. Option D is the correct option.
What is the scalene triangle?
A scalene triangle is a triangle with three different side lengths and three different angle measurements. However, the sum of all the interior angles of the scalene triangle is unaffected by the various measurements. Scalene triangles satisfy the angle sum property of triangles because the sum of their three interior angles is always 180 degrees.
Given that △JKL and △PQS are two triangles.
Angle P is congruent to angle J.
Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
△JKL and △PQS are similar triangles if
1) angle K is congruent to Q
or,
2) angle L is congruent to S
or,
3) PQ/JK = QS/KL = PS/JL
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18) Jacob is trying to decide whether to attend akeshore University or Bayside University. He
likes both schools equally, and both schools sent him letters of acceptance. Recently
Lakeshore University raised its tuition by 6%. Which statement is most reasonable in this
situation?
a) Jacob should attend Bayside University since it will be less expensive.
b) Jacob should gather more information about tuition before making a decision.
c) Jacob should not worry about a 6% tuition increase since this is a small percent.
Answer: B
Step-by-step explanation: Jacob doesn't know either colleges' actual price. Bayside could still be equal to or more expensive than Lakeshore.
What two numbers multiply to -35 and add to get -18
he two numbers that multiply to -35 and add to get -18 are -5 and 3.
To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.
Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:
-5 + 3 = -2
So, -5 and 3 are the two numbers that multiply to -35 and add to -18.
Find the zeros of g(x)=2x^2+32
Answer:
x = 4i, − 4i
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x
x = 4i, − 4i
translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5
Answer:
x=2
Step-by-step explanation:
10 - (x + 3) = 5
To solve for x, we can start by simplifying the left side of the equation:
10 - (x + 3) = 5
10 - x - 3 = 5
7 - x = 5
Next, we can isolate x on one side of the equation by subtracting 7 from both sides:
7 - x = 5
7 - x - 7 = 5 - 7
-x = -2
Finally, we can solve for x by dividing both sides of the equation by -1:
-x = -2
x = 2
Therefore, the solution to the equation is x = 2.
Simplify: 3h - 2 - 8h
Answer:
-5h - 2
Step-by-step explanation:
3h - 2 - 8h
We can simplify this expression by combining like terms.
Like terms are terms that have the same variable and exponent. ( variables are represented by letter, the variables in this case are just h )
The terms 3h and -8h have the same variable ( h ) and exponent ( 1 ) making them like terms hence, we can combine them or add them together
3h + (-8h) = -5h
The simplified version of 3h - 2 - 8h is -5h - 2
Modern Electronics offers a one-year monthly installment plan for a big screen TV. The payment for the first month is $62, and then it increases by 4% each month for the rest of the year. Which expression can be used to find the total amount paid in the first 12 months?
The expression of total amount paid in the first 12 months for the big screen TV is C. \(\frac{62*(1 - 1.04^{12})}{(1-1.04)}\)
How to find expression of total amount paid in the first 12 months?To find the expression of the total amount paid in the first 12 months, we can use the formula for the sum of a geometric series which states: S = a(1-r^n) / (1-r)
Data:
First term (a) is $62
Common ratio (r) is 1.04
We have 12 terms (n) in the series.
Substituting the values, we get:
\(S = 62*(1 - 1.04^{12}) / (1-1.04)\\S = 62 * 15.0258054642\\S = 931.59993878\\S = $931.60\)
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Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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Please help ASAP!
Thank you
Graph y = 2x - 5 using the
interactive graphing calculator.
Which of the following statements
are true?
O The line increases from left to
right.
The line crosses the x-axis at
2.5.
The line crosses the y-axis at
5.
As the input increases, the
output decreases.
O The line does not enter
quadrant Il at all
O The line increases from the left to right
O The line crosses the x-axis at 2.5
O The line does not enter quadrant II at all...
...Are your answers
Answer:
A, B, E
Step-by-step explanation:
Dylan took an applicant-paid job through an employment agency. The job pays $395 per week. Dylan must pay a fee to the agency. The fee is 20% of his first 4 weeks pay. How much does Dylan owe the employment agency?
Answer:
Dylan owed a $1,264 fee, and earned $316
Step-by-step explanation:
First find out how much money he gets in 4 weeks without the fee
395 times 4 = $1,580
Then multiply 1,580 by the .2 percent he owes the eployment agency
$316
(He gets $316 for working for 4 weeks minus the fee) Subtract the payment without the fee by the payment with the fee to find out how much the fee was.
Dylan owe the employment agency $316
First we need to calculate the amount that Dylan will earn for the first 4 weeks. This will be:
= Weekly earnings × Number of weeks
= $395 × 4
= $1580
Since Dylan pays 20% to the employment agency, then the amount owed will be:
= 20% × $1580
= 0.2 × $1580
= $316
In conclusion, Dylan owe the employment agency $316.
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emma ray and norman shared 4/5 of a pizza. Do you think thet had 1/3 each? yes or no?
No, because 4/5 divided by 2 is 2/5 which does not equal 1/3 :)
3/4-1/2 find the different
Answer:
1/4
Step-by-step explanation:
3/4-1/2=
you must multiply the denominator and numerator of 1/2 by 2 to get your common denominator.
3/4-2/4=
1/4
The tree in Mary’s backyard is 7.1 m high. How high is it in centimeters?
Answer:
701 cm
Step-by-step explanation:
cm =m * 100.0000
cm =7.1 * 100.0000
cm =710.0000
evaluate (mn)(x) for x= -3
(mn)(-3) =
Answer:
-3mn
Step-by-step explanation:
Does "greater than" sign and "not equal to" sign denote the same thing?
Hello!
The "greater than sign" means one number is greater than the other.
Example: 4>2 (4 is greater than 2)
The "not equal to sign" means one number is not equal to another one.
Example: 15\(\neq\)17 (15 is not equal to 17)
Hope this helps!
~Just a determined gal
#CarryOnLearning
\(MysteriousNature\)
no they dont
greater than sign denotes that the first digit is greater than the other digit
what is - 9 1/8 as a decimal number
Answer:
-9.125
Step-by-step explanation:
Answer:
It is -9.125.
Step-by-step explanation:
Please mark me Brainliest
Solve.
t2 - 6t = 0
The solution(s) to T is
Answer:
Step-by-step explanation:
t(t - 6) = 0
t = 0
t - 6 = 0
t = 6
hey can anyone help me with this question???
what us 247 x 45,729.
(i will mark brainliest for best answer:)
Answer: 11,295,063
Step-by-step explanation:
By what percent will the fraction increase if its numerator is increased by 60% and denominator is decreased by 20% ?
Answer:
100%
Step-by-step explanation:
Start with x.
x = x/1
Increase the numerator by 60% to 1.6x.
Decrease the numerator by 20% to 0.8.
The new fraction is
1.6x/0.8
Do the division.
1.6x/0.8 = 2x
The fraction increased from x to 2x. It became double of what it was. From x to 2x, the increase is x. Since x was the original number x is 100%.
The increase is 100%.
Answer:
33%
Step-by-step explanation:
let fraction be x/y
numerator increased by 60%
=x+60%ofx
=8x
denominator increased by 20%
=y+20%of y
so the increased fraction is 4x/3y
let the fraction is increased by a%
then
x/y +a%of (x/y)=4x/3y
or, a%of(x/y)=x/3y
\(a\% = \frac{x}{3y} \times \frac{y}{x} \)
therefore a=33
anda%=33%
what is 87 squared + 73 cubed
Answer:
The correct answer is 396586
Step-by-step explanation:
Answer:
7642
Step-by-step explanation:
!! NEED HELP ASAP !! 35 POINTS!! Which shapes are similar to shape A?
The shapes which are similar to shape A are the shape in pink color, the shape in blue color inside the square and the shape in voilet color inside the square.
From the given figure, we can find the similar shapes
From shape A to shape in pink color, the translation is rotation about the origin at 90° counterclockwise.
From shape A to shape the shape in blue color inside the square, the translation is diminishment with the scale factor 0.5 and opposite rotation about an origin 90° clockwise.
From shape A to the shape in voilet color inside the square, the translation is enlargement with the scale factor 1.5 and opposite.
What is a scale factor?Shapes in various dimensions are scaled using the scale factor. In geometry, we study a variety of two- and three-dimensional geometrical shapes. A measurement for similar figures that appear the same but have distinct scales or measures is the scale factor.
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hey Plz help me fast it's important.
Answer:
Step-by-step explanation:
a) 52 is divisible by 4 and 5 - 2 = 3
b) 63 is divisible by 9 and 3*2 = 6 -> ten digit
c) 50 is divisible by 10 and 5 + 0 = 5
d) 72 is divisible by 6 and 7*2 = 14
If you tossed two coins simultaneously 400 times, would you expect the deviation to be greater or less than it was in tossing them 40 times? Explain.
Yes, the deviation is greater than it was in tossing them 40 times.
What is Standard Deviation?A standard deviation (or σ) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out.
Given:
n= 400 trials
Tossing 2 coins 400 times gives 800 trials
so, \(\sigma_1\)² = np(1- p)
= 800 x 1/2 x 1/2
\(\sigma_1\) = √200
\(\sigma_1\) = 10√2
Now, n=40
and, \(\sigma_2\)² = np(1- p)
= 80 x 1/2 x 1/2
\(\sigma_2\) = √20
\(\sigma_2\) = 2√5
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A car is purchased for $17,500. After each year, the resale value decreases by 20%. What will the resale value be after 5 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
17,500*20%= 3,500 of decrease each year by 5 (3,500x5) 17,500
17,500-17,500= o resale value
Step-by-step explanation: