In a playing card there are 52 cards. (i) '2' of spades: Number of favourable outcomes i.e. '2' of spades is 1 out of 52 cards.
If using the method of completing the square to solve the quadratic equation x^2-9x+2=0 which number would have to be added to "complete the square"?
The number that would have to be added to complete the square is 81/4.
What is a Quadratic Equation ?Quadratic equations are polynomials of degree 2 , It is represwented by ax² + bx +c = 0.
The quadratic equation given is
x² -9x +2 = 0
x² -9x + (81/ 4) - (81/4) + 2 = 0
x² -9x + (9/2)² - (81/4) +2 = 0
(x - 9/2)² - (73/4) = 0
Therefore , 81/4 will be added to complete the square to solve the quadratic equation.
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what is the dependent variable of "i did 60 brush strokes in 1 minute"
The dependent variable is time
How to determine the dependent variable?The statement is given as:
"I did 60 brush strokes in 1 minute"
The dependent variable is the variable that is dependent on the action that is done.
From the statement.
The action is the strokes of brush
And time is dependent on the number of strokes
Hence, the dependent variable is time
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Find the values of x and y.
Answer: is C
Step-by-step explanation:
the area of a right triangle is 6 square units. if the length of one leg is 4, what is the length of the altitude to the hypotenuse?
a) 6/5 d)12/5
b)4/3 e)15/4
c)3/2
The length of the altitude to the hypotenuse of the right triangle is 3 / 5
How to find the altitude of a right triangle?A right triangle has one of it's angle as 90 degrees. Therefore,
area of right triangle = 1 / 2 bh
where
b = baseh = heightHence,
6 = 1 / 2 × 4 × h
6 = 4h / 2
cross multiply
12 = 4h
divide both sides by 4
h = 12 / 4
h = 3 units
Hypotenuse² = 4² + 3²
c² = 16 + 9
c = √25
c = 5
Therefore, the length of the altitude to the hypotenuse of the right triangle is 3 / 5
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5 5/6 + 2 2/3 mixed number
A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 8? Express your answer as a fraction or a decimal
number rounded to four decimal places.
Answer:
Step-by-step explanation:
Nines: (3,6), (4,5), (5,4), (6,3)
Tens: (4,6), (5,5), (6,4)
Elevens: (5,6), (6,5)
Twelves: (6,6)
4 + 3 + 2 + 1 = 10 outcomes possible
36 outcomes total for rolling two dice.
P(sum > 8) = 10/36 or 5/18 simplified.
FIFO and LIFO Costs Under Perpetual Inventory System The following units of an item were available for sale during the year: Beginning inventory 30 units at $40 Sale 21 units at $62 First purchase 30 units at $42 Sale 19 units at $64 Second purchase 26 units at $44 Sale 23 units at $64 The firm uses the perpetual inventory system, and there are 23 units of the item on hand at the end of the year. a. What is the total cost of the ending inventory according to FIFO? $fill in the blank 1 b. What is the total cost of the ending inventory according to LIFO?
The ending inventory using LIFO is $920.
The ending inventory using FIFO is $1,472.
What is the ending inventory?
LIFO means last in first out. It means that it is the last purchased inventory that is the first to be sold. Ending inventory would consist of first purchased inventory.
23 x $40 = $920
FIFO means first in, first out. It means that it is the first purchased inventory that is the first to be sold. Ending inventory would consist of last purchased items in inventory.
23 x $64 = $1,472
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PLEASE HELP
For j(x) = 4x − 2, find j of the quantity x plus h end quantity minus j of x all over h period
4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h end quantity all over h
4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h plus 1 end quantity all over h
4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h minus 1 end quantity all over h
the quantity x minus 2 end quantity times the quantity 4 to the power of h plus 1 end quantity all over h
Step-by-step explanation:
The figure below shows a portion of the graph of the function [tex]j\left(x\right) \ = \ 4^{x-2}[/tex], hence the average rate of change (slope of the blue line) between the [tex]x[/tex] and [tex]x+h[/tex] is
[tex]\text{Average rate of change} \ = \ \displaystyle\frac{\Delta y}{\Delta x} \\ \\ \rule{3.7cm}{0cm} = \dsiplaystyle\frac{f\left(x+h\right) \ - \ f\left(x\right)}{\left(x \ + \ h \right) \ - \ x} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{f\left(x + h\right) \ - \ f\left(x\right)}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x+h-2} \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x-2+h} \ - \ 4^{x-2}}{h}[/tex]
[tex]\\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h}\right) \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h} \ - \ 1 \right)}{h}[/tex]
Roll the number cube below several times to get a sense of its random behavior. What is the probability of rolling a 3?
Step-by-step explanation:
If you roll the die once, the probability of getting a 3 is 1/6
If you roll the die twice and get a three both times, the probability of that happening is 1/6 * 1/6 or 1/36
and so on...
The probability of rolling a 3 is 1/6.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
A number cube is rolled several times.
There are a total of 6 numbers in a number cube.
Total outcomes = 6
We have to find the probability of rolling a 3.
Probability = 1/6
Hence the required probability is 1/6.
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so if you have to do goals what goals are best
It really depends what situation you are trying to set goals at,
Trying to understand math concept or any really concept, I would set little goals such as " Study for 15 mins a day" or something and the big goal would be "UNDERSTAND THE CONCEPT"
for goals, I would set small goals that work towards your main goal.
Answer:
Marriage and Family Harmony. ...
Proper Mindset and Balance. ...
Commitment to Improved Physical Health. ...
Career Passion and Personal Satisfaction. ...
Develop Empathy and Gentleness. ...
Financial Stability. ...
Service and Social Responsibility.
Consider the following couple, who are engaged to be married. Assume that each person takes one exemption and the standard deduction. Answer the questions below using the tax rates in the table to the right.
The income tax of Rebecca and Steve will be $27020 and $20625.
How to illustrate the tax?Rebecca has an income of $96500. The income tax will be:
= 28% × $96500
= 27020
Steve has an income of $82500. The income tax will be:
= 25% × $82500
= 20625
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Marlon's TV plan costs $40.66 per month plus $6.71 per first-run movie. How many first-run movies can he watch if he wants to keep his monthly bill to be a maximum of $100?
Answer:
He can watch 8 movies
Step-by-step explanation:
100-40.66=59.34
6.71 x 8 = 53.68
therefore the most amount of movies he can watch is 8
will give brainliest
Answer:
Step-by-step explanation:
3 gallons of milk having a hole in it and leaking at the rate of 1.5 ounces a second for 2 minutes. How much milk is left at the end?
Answer: 1.59375. Round to 1.6 if need be.
Step-by-step explanation:
Their are 384oz in 3 gallons (multiply gallons by 128)
Their are 120 seconds in 2 minutes (multiply minutes by 60)
Multiply 1.5 * 120 = 180 to get how many oz have drained after 2 minutes.
Subtract 384 - 180 = 204 to get how many oz left in the milk container.
Convert 204oz to gallons by dividing by 128. 204 / 128 = 1.59375gallons.
A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for each burrito.
Money made from selling burritos is positive. The cost of making burritos is negative. Profit is the money left after paying the costs.
How much profit would the restaurant make by selling 100 burritos?
Answer these questions to find out.
1. How much money would the restaurant take in by selling 100 burritos
Answer:
1. How much profit would the restaurant make by selling 100 burritos?
Answer: The restaurant would make $550
2. How much money would the restaurant take in by selling 100 burritos
Answer: The restaurant would take in $800
Step-by-step explanation:
First we have to add all the negatives.
-1.50 + -1.00
= -2.50
Now that we have that, we just need to multiply both the 8 dollars and the -2.50 by 100.
8 * 100 = 800
-2.50 * 100 = -250
Now we have the answer for the second question.
The restaurant would take in $800 before the cost of the ingredients.
But now we need to find the profit. (Which is the amount of money they made minus the cost of the ingredients and meat)
800 - 250 = 550
So the restaurant will make $550 in profit.
Hope this helped! :D
Answer:
$550
Step-by-step explanation:
100 POINTS!!! A group of students were asked if they carry a credit card. The responses are listed in the table. If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.
Answer:
0.350 (3 d.p.)
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Let P(A) = probability that the student is a freshman
Let P(B) = probability that the student owns a credit card
Use the given table to calculate the probability that the student is a freshman:
[tex]\implies \sf P(A)=\dfrac{60}{100}=0.6[/tex]
And the probability that the student is a freshman and owns a credit card:
[tex]\implies \sf P(A \cap B)=\dfrac{21}{100}=0.21[/tex]
To find the probability that the student owns a credit card given that the they are a freshman, use the conditional probability formula:
Conditional Probability Formula
The probability of B given A is:
[tex]\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}[/tex]
Substitute the found values into the formula:
[tex]\implies \sf P(B|A)=\dfrac{0.21}{0.6}=0.35[/tex]
Therefore, the probability that the student owns a credit card given that they are a freshman is 0.35
Adrian exercised three days during the past week. He exercised 58 minutes and 45 seconds during the
first day, 40 minutes and 40 seconds on the second day, and 20 minutes and 35 seconds on the third
day. How many hours did he spend exercising during the week?
Answer:
2h 1' 1"
Step-by-step explanation:
1h = 1 hora
1' = 1 minute
1" = 1 secind
The sum of the three days is:
58' 45"
+ 40' 40"
20' 36"
= 118' 121"
118' 121" = 118' + 121"
1' = 60"
121" = 120" + 1" = (120/60) + 1 = 2' + 1"
Then:
118' + 121" = 118' + 2' ´+ 1" = 120' + 1"
1 h = 60'
(120/60) + 1 = 2h + 1'
then:
118' + 121" = 2h + 1' + 1"
= 2h 1' 1"
Here is a right-angled triangular tile.
A hollow shape is made using four of these
triangular tiles and four square tiles.
Work out the perimeter of the hollow shape.
The perimeter of the hollow shape is 16d + 4(a + b + c)
How to determine the perimeter?The question is incomplete, and the missing parameters cannot be found.
So, I will give a general explanation on how to determine perimeter.
The given information are:
4 right triangles4 squaresThe perimeter of a right triangle that has sides a, b and c is:
P = a + b + c
Since there are 4 triangles, the perimeter of the 4 triangles is:
P = 4(a + b + c)
The perimeter of a square that has side length d is:
P = 4d
Since there are 4 squares, the perimeter of the 4 triangles is:
P = 4 * 4d
P = 16d
Add the perimeters of the squares and the triangles
P = 16d + 4(a + b + c)
Hence, the perimeter of the hollow shape is 16d + 4(a + b + c), where a, b, c and d are the unknown variables
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Giving brainliest :)
Answer:
3
Step-by-step explanation:
first find g(-2) by plugging in -2 as x in the g(x) equation
g(-2) = 3(-2)+5
g(-2) = -6+5
g(-2) = -1
then plug that value (-1) as x in the f(x) equation
f(-1) = 4-(-1)^2
f(-1) = 4-1
f(-1) = 3
At a harvest 16 ears are being picked foot every 18 peppers. If 19 peppers have been picked, how many eats of corn have been picked?
The number of eats of corn which have been picked is; 16.9 corns.
How many eats of corn have been picked?According to the question; 16 eats of corn are being picked foot every 18 peppers. In essence, the ratio of corns to peppers is; 16/18.
Hence, it follows that the number of corns which corresponds to 19 peppers been picked can be evaluated as follows;
16/18 = x/19
x = (19×16)/18
x = 16.9 eats of corn.
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Need help with this
Answer:
23 degrees
Step-by-step explanation:
We can use basic trigonometric equations to solve for the angle x because we are given a right triangle.
I will use the sin x = opposite / hypotenuse
sin x = 5 / 13
x = sin^-1 (5 / 13)
x = 22.61986 degrees
The question requires us to round to the nearest degree which is 23.
Other alternative methods you can use include the tangent and cosine functions or the law of cosines.
Answer:
x = 23°
Step-by-step explanation:
I will use
[tex]tanx=opposite/adjacent[/tex]
[tex]tanx=\frac{5}{12}[/tex]
[tex]x=tan^{-1} (\frac{5}{12} )=tan^{-1} (0.417)=22.62^{o}[/tex]
rounded to the nearest degree : 23°
Hope this helps
A relish is prepared by the following recipe:
pickles
onions
1000 pounds
500 pounds
900 pounds
75 pounds
5 pounds.
sugar
salt brine
spices
The onions are 85% water, the pickles are 92% water and 1.1% salt, and the salt brine is 88%
water. During processing, 18% of the water originally in the mixture is evaporated out.
What is the weight of relish prepared.
The weight of relish prepared after the evaporation of water is 2,226.02 pounds
Percentagepickles = 1000 poundsonions = 500 poundssugar = 900 poundssalt brine = 75 poundsspices = 5 poundsTotal = 1000 + 500 + 900 + 75 + 5
= 2,480 pounds
pickles are 92% water
= 92/100 × 1000
= 920 pounds
onions are 85% water
= 85/100 × 500
= 425 pounds
salt brine is 88% water
= 88/100 × 75 pounds
= 66 pounds
Total water in the mixture = 920 pounds + 425 pounds + 66 pounds
= 1,411 pounds
Percentage of water evaporated = 18%Amount of water evaporated = 18/100 × 1,411 pounds
= 253.98 pounds
Weight of the relish prepared = 2,480 pounds - 253.98 pounds
= 2,226.02 pounds
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I need help solving this problem
Pls Help! Geometry
What is the area of the blue section?
Considering the area of the circles, the area of the blue section is of [tex]50\pi[/tex] cm².
What is the area of a circle?
The area of a circle of radius r is given as follows:
[tex]A = \pi r^2[/tex].
The area of the blue section is given by the area of the larger circle, of radius 10 cm, subtracted by the area of the two smaller circles, each with radius of 5 cm, hence:
[tex]A_G = \pi 10^2 = 100\pi[/tex]
[tex]A_S = 2 \times \pi \times 5^2 = 50\pi[/tex]
[tex]A_B = A_G - A_S = 100\pi - 50\pi = 50\pi[/tex]
The area of the blue section is of [tex]50\pi[/tex] cm².
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what term does the dormula sinA/a =sinB/b represent
Answer:
Law of sines
Step-by-step explanation:
The law of sines is a formula used to find either an angle or side in a non-right triangle.
You have to have at least three parts to use it.
For example, if you have angle A and its side (a) along with angle B, you can use it to find side b.
Help don’t understand
Answer:
f(-14) = -6
f(-4) = 6
f(12) = 6
f(0) = -3
negative
Step-by-step explanation:
f(-14) = -6
This is because when x is -14, y is -6, as seen in the graph
f(-4) = 6
This is because when x is -4, y is 6, as seen in the graph
f(12) = 6
This is because when x is 12, y is 6, as seen in the graph
f(0) = -3
This is because when x is 0, y is -3, as seen in the graph
is f(4) positive or negative?
negative
This is because when x is 4, y is -6, as seen in the graph
what is the area of the shaded face of the cylinder is 22m
give your answer to the nearest whole number and give the correct units
The area of the shaded face of the cylinder with the given radius is approximately 1520cm².
This question is incomplete, the missing diagram is uploaded along the answer below.
What is the area of the shaded face of the cylinder?From the diagram, the shaded region is a circle with radius 22 meters.
Area of a circle is expressed as;
A = π × r²
r is radius and π is constant pi ( π = 3.14 )
We substitute our values into the equation above.
A = π × r²
A = 3.14 × (22m)²
A = 3.14 × 484m²
A = 1519.76 ≈ 1520cm²
Therefore, the area of the shaded face of the cylinder with the given radius is approximately 1520cm².
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Using the figure, which is an example of a diameter?
Answer: Segment AD
Reason:
Any diameter goes through the center of a circle, with both endpoints on the circle edge.
Another diameter is segment FC.
Answer:
CF and AD
Step-by-step explanation:
Hello!
Parts of a CircleA Radius is the line segment that stretches from the center of the circle to the outer curve.A Diameter is the line segment that stretches from side to side of a circle that goes through the center of the circle.The Circumference is the length of the outer border of the circle.Given the definitions, we are simply looking for any line that goes through the center of the circle, and touches twice on the circumference of the circle.
There are only two lines that seem to go through the circle, and have endpoints on the circle:
CFAD
the mean monthly electric bill is 132 residents of the local apartment complex is $86 what is the best point estimate for the mean monthly electric bill for all residents of the local apartment complex?
Considering the sample mean, the best estimate for the mean monthly electric bill for all residents of the local apartment complex is of $86.
How to find the point estimate of a population parameter?The point estimate for the population parameter is found according to the parameter for a sample from the population. For example:
The best point estimate for the population mean is the sample mean.The best point estimate for the population standard deviation is the sample standard deviation.In this problem, the mean bill for 132 residents is of $86, hence the best estimate for the mean monthly electric bill for all residents of the local apartment complex is of $86.
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Why is it important to use the correct units of measurement when working with conversions?
Answer:
help to others the exact amount u have