Answer:
3/70
Step-by-step explanation:
3 orange,6 pink , 1 yellow , and 5 red = 15
P(pink) = number of pink/ total = 6/15 = 3/5
Then without putting it back
3 orange,5 pink , 1 yellow , and 5 red = 14
P(yellow) = number of yellow/ total = 1/14
P(pink, no replacement, yellow) = 3/5*1/14 = 3/70
Larinda cooked a 4-kilogram roast. The roast left over after the meal weighed 3 kilograms. How many grams of roast were eaten during that meal?
Answer:
1 kilogram was eaten
Step-by-step explanation:
Answer:
1 kilogram was eaten during that meal.
A farmer buys a tractor for $10,000. If the tractor depreciates 10% per year, write an exponential decay function to fin the value of the tractor in 7 years.
Answer:
F = P(1 - x)^n
F = 10,000(1 - 0.1)^7
F = 10,000(0.9)^7
F = $4,783
The value of the tractor in 7 years is $4,783
Step-by-step explanation:
Applying the exponential depreciation equation;
F = P(1 - x)^n
Where;
F = final value after n years
P = initial value
x = depreciation rate (fraction)
n = time
Given;
P = $10,000
x = 10% = 0.10
n = 7 years
Substituting the given values;
F = 10,000(1 - 0.1)^7
F = 10,000(0.9)^7
F = 4782.969
F = $4,783
The value of the tractor in 7 years is $4,783
Please help me with this problem :)
Answer:
9/25
Step-by-step explanation:
36/100 = 9/25
identify a pair of perpendicular lines in the given figure. HELPPP I NEED TO PASS!
Answer:
Line S and Line Q
Step-by-step explanation: Line S and Q would form a pair of perpendicular lines because perpendicular lines form a 90 degree angle.
A pair of perpendicular lines in the given figure are line q and line s.
What is a perpendicular line?Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.
Given:
There are 4 lines in the diagram.
To find the pair of perpendicular lines:
Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.
And line q is perpendicular to line s.
Therefore, line q is perpendicular to line s.
To learn more about the perpendicular lines;
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Help me with this question
Answer:
Around 25.8 square units
Step-by-step explanation:
[tex]A=\dfrac{1}{2}(5)(18)(\sin 35)=\\\\45\cdot \sin 35\approx 25.8[/tex]
Hope this helps!
Dad buys 1/2 pound of fudge at the sweet shop. He shares it with mom, Elizabeth, and Zachary. How much Fudge will each person get?
Answer:
Each person gets 1/8 pound
Step-by-step explanation:
Dad bought = 1/2 Pound of cake
He divided them into 4 people
So,
=> [tex]\frac{1}{2} / 4[/tex]
=> [tex]\frac{1}{2} * \frac{1}{4}[/tex]
=> [tex]\frac{1}{8}[/tex] Pound for each person
=> Each person gets 1/8 pound
One equation of a pair of dependent linear equations is -5x+7y=2.Write the second equation.
Answer:
Step-by-step explanation:
Any multiple of the given equation is also a dependent linear equation
From the equation
-5x+7y=2
Multiplying all through by any number, say 2
2(-5x)+2(7y)=2(2)
-10x+14y=4 is a dependent linear equation for -5x+7y=2
If you don't fancy using a multiple, you can write the gradient equation y=mx+c
-5x+7y=2
7y=5x+2
Dividing all through by 7 gives the equation as
y=5x/7 + 2/7
Can someone please help me with my homework:(
Answer:
118.3
Step-by-step explanation:
The formula for the area is a triangle is base*height/2
Area = 18.2*13/2 = 118.3
Answer:
118.3
1/2b×h
1/2(13)x18.2
6.5×18.2
118.3m^2
The after-school program at Longwood Middle School is planting a trapezoidal community garden.
75 ft on the left side, 102 On The Bottom, 85 ft On The Right Side
What is the area of the garden?
A. 6,375 ft2
B. 7,650 ft2
C. 8,160 ft2
D. 8,670 ft2
Answer:
C
Step-by-step explanation:
Here, we are told that the school is trying to plant a garden which is trapezoidal in shape and we want to calculate the area of this said garden.
Mathematically, the area of the garden can be calculated using the formula;
A = 1/2 (a + b)h
here in this question, a is the value on the right hand side which is 75 ft, b is the value on the left hand side which is 85ft while h is the value on the bottom
which is 102 ft
Inserting these values into the equation, we have:
A = 1/2( 75 + 85) * 102
A = 1/2 * 160 * 102
A = 8,160 ft^2
Solve the system of equations. y= 4x + 5 y=x2+12x+20
Answer:
x1 = -3
x2 = -5
y1 = -7
y2 = -15
Step-by-step explanation:
y = 4x +5
y = x2+12x+20
substitute y in second equation with first and solve quadratic equation
4x+5 = x² +12x + 20
x²+8x + 15 =0
D= b² - 4ac
a = 1
b = 8
c = 15
D = 64 - 60 = 4
D>0 => 2 real roots
x1 = [tex]\frac{-b+\sqrt{D} }{2a}[/tex]= (-8+2)/2 = -3
x2 =[tex]\frac{-b-\sqrt{D} }{2a}[/tex] = (-8-2)/2 = -5
having roots of x we can calculate y
y1 = 4x1+5 = 4*-3 +5 = -12 +5 = -7
y2 =4x2+5 = 4*-5+5 = -20 + 5 = -15
x1 = -3
x2 = -5
y1 = -7
y2 = -15
here is a list of numbers 7 12 16 20 27 40 56 64
work out the difference between two square numbers in the list
work out the difference between the two cube numbers in the list
Answer: 48 and 37
Step-by-step explanation:
Difference between two square numbers
= 64 ([tex]8^{2}[/tex]) - 16 ( [tex]4^{2}[/tex])
= 48
Difference between two cube numbers
= 64 ([tex]4^{3}[/tex]) - 27([tex]3^{3}[/tex])
= 37
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Fit for Family offers a membership fee of $450 for the year or the option to pay $41 per month. How much more do you save each month by choosing the annual membership fee?
Answer:
$42
Step-by-step explanation:
The yearly membership is $450.
The monthly membership is $41. This means that in a year, the membership fee will be:
41 * 12 = $492
We have to subtract the yearly fee from this.
That means that if you choose the yearly membership over the monthly membership, you'll save:
492 - 459 = $42
Answer:
The correct answer is $42.
divide
(9x^3 +24x^2+18x+20) ÷ (3x+6)
Quotient=3x^2+2x+2
Remainder=8
please see the attached picture for full solution
hope it helps
Good luck on your assignment
I solved in the picture
Hope this helps ^-^
2 Points
Classify the following triangle. Check all that apply.
8
O A. Equilateral
DB. Right
n C. Isosceles
O D. Scalene
D E. Acute
n F. Obtuse
Answer:
Is there a reference picture I could use?
Step-by-step explanation:
Joes worked for 28 hours and earned $418.24. What did he earn per hour?
Answer:
$14.94
Step-by-step explanation:
To find the money earned per hour, you need to divide the total money earned by the hours worked.
$418.24/28 = $14.94
PLEASE HELP ASAP !!What value of g makes the equation true ? (X+7)(x-4)=x^2+ge-28
Answer:
g=3
Step-by-step explanation:
(x+7)(x-4)=x(x-4)+7(x-4)=x²-4x+7x-28=x²+3x-28
it should be gx ,then g=3
if ge then ge=3x
Answer:g=3x
Step-by-step explanation:
I wrote this in the comments to but now it’s allowing its allowing me to answer so here: simplify the left side by distributing the values and it turns out to be x^2+3x-28 and the right side stays the same. We write this as x^2+3x-28=x^2+g-28. We then simply by the addition property of equality by adding 28 to both sides. We are left with x^2+3x=x^2+g. We then subtract x^2 from both sides ending up with g=3x.
Select the correct answer.
which function's domain consists of all real numbers except -2?
Answer:
A
Step-by-step explanation:
For functions with x in the denominator we want to make sure the denominator isn't 0. If x can't be -2 then the answer is A because x = -2 results in f(x) = 1/0 which is undefined.
The diagram below shows vector v. Given transformation matrix t= 2 0 0 2 which diagram shows the application of T to v?
Answer:
The answer is A.
Step-by-step explanation:
I just took the test and got a 100%
Find the slope of the line going through points (0, —20) and (20, —20)
Answer:
hope this helps you
is this gonna help!!!!!!!!!!!1!!
A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 9.1 hours.
Answer:
The probability is 0.0069
Step-by-step explanation:
First thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD/√(n)
where x = 9.1 , mean = 8.4 , SD = 1.8 and n = 40
Plugging these values into the z-score equation, we have;
z-score = (9.1-8.4)/1.8/√(40) = 0.7/1.8/6.325 = 0.0615
Now, we check the standard normal table for P(z > 2.46) = 0.0069
What is the probability of an event that is certain?
Answer:
1
Step-by-step explanation:
An event that is certain to happen has a probability of 1.
Answer: Option
1
Step-by-step explanation:
1. What is the slope of a line parallel to the line whose equation is y = 2/5x - 3?
Define recursive rule.
Answer:
A recursive formula always uses the preceding term to define the next term of the sequence. Sequences can have the same formula but because they start with a different number, they are different patterns.
Step-by-step explanation:
hope this helps
Express your answer in scientific notation. 4.9\cdot 10^{5} - 5.8 \cdot 10^{4} =4.9⋅10 5 −5.8⋅10 4 =4, point, 9, dot, 10, start superscript, 5, end superscript, minus, 5, point, 8, dot, 10, start superscript, 4, end superscript, equals on khan academy Adding & subtracting in scientific notation.
Answer:
[tex]4.32*10^{5}[/tex]
Step-by-step explanation:
Given the expression [tex]4.9*10^{5}-5.8*10^{4}[/tex], to solve the expression, we need to write both scientific notation to the same power of 10.
[tex]5.8*10^{4} is \ expressed\ as \ 0.58*10^{5}[/tex]
The expression above becomes [tex]4.9*10^{5}-0.58*10^{5}[/tex]. On taking the difference;
[tex]4.9*10^{5}-0.58*10^{5}\\= (4.9-0.58)*10^{5} \\= 4.32*10^{5}[/tex]
The final expression gives the right answer
a) (x + y, x - y) = (4, 2)
please answer this question. Pleaseeee
Answer:
here is the answer
Step-by-step explanation:
(x + y, x - y)= (4,2)
therefore, x + y= 4 and x - y = 2
equating
x +y =4
x= 4-y
substituting
x - y= 2
(4-y)-y=2
4-2y=2
4-2=2y
2=2y
2/2=y
1=y
therefore,
x + y=4
x + 1=4
x= 4 - 1
x=3
verifying
3 + 1=4
4=4
3 - 1=2
2=2
What is the slope-intercept equation of the line that passes through (0, 2) and (6, 6)?
Answer:
The equation in Slope-intercept form:
[tex]y = \frac{2}{3}x + 2[/tex]
Step-by-step explanation:
-Find the slope first, by using the slope formula:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
(where [tex](x_{1},y_{1})[/tex] is the first point and [tex](x_{2},y_{2})[/tex] is the second point).
-Use two given points from the following problem for the slope formula:
[tex]m = \frac{6-2}{6-0}[/tex]
-Then, solve the equation:
[tex]m = \frac{6-2}{6-0}[/tex]
[tex]m = \frac{2}{3}[/tex]
After you have the found the slope, use both the slope [tex]\frac{2}{3}[/tex] and the first point [tex](0,2)[/tex] for the Point-slope formula:
[tex]y - y_{1} = m (x-x_{1})[/tex]
(where [tex]m[/tex] is the slope and [tex](x_{1}, y_{1})[/tex] is the first point).
-The equation in Point-slope form:
[tex]y - 2 = \frac{2}{3} (x-0)[/tex]
Then, you solve:
[tex]y - 2 = \frac{2}{3} (x-0)[/tex]
[tex]y - 2 + 2= \frac{2}{3} (x-0) + 2[/tex]
[tex]y = \frac{2}{3}x + 2[/tex]
-So, the equation in Slope-intercept form would be:
[tex]y = \frac{2}{3}x + 2[/tex]
The equation of the line is y = 2x/3 + 2 if the line that passes through (0, 2) and (6, 6).
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through (0, 2) and (6, 6)
The slope-intercept form of the equation:
Slope of the line = (6-2)/(6-0)
The slope of the line = 2/3
The equation of the line:
y = 2x/3 + 2
Thus, the equation of the line is y = 2x/3 + 2 if the line passes through (0, 2) and (6, 6).
Learn more about the linear equation here:
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Question 3 The sales and finance team of a car company is evaluating a new proposed luxury model of its brand that will require an investment of $1Billion in a new machine for car interior decoration. Demand for the company’s car is expected to begin at 100,000 units in year 1, with 10% annual growth thereafter. Production cost will be $35,000 per unit in the first year, and increase by a rate of either 3% or 5% per year as a result of wage increase. Selling price will start at $37,000 and increase by 4% of the production cost. The model will be phased out at the end of year 10. In addition, 0.3%, 2% and 1.5% of before tax profit per year will be spent on social corporate responsibility, commercial (including promotions) and recalls respectively. Assume taxes will be 30% of yearly profit and that inflation will remain at 0% per year throughout the 10 year of production. Also assume interest rate is expected to be 3% per year in the first 5 years and 5% in the last 5 years. a. Based on present worth analysis, is the proposed investment profitable if production cost increases by a rate of 3% per year as a result of wage increase? Justify your answer. (15 marks) b. Based on present worth analysis, is the proposed investment profitable if production cost increases by a rate of 5% per year as a result of wage increase? Justify your answer.
Answer:
I really want points because I'm struggling with a lot of homework
I don’t get it please help
Step-by-step explanation:
A) 1
B) 3
C)4
D)11
E)8.75
F)240
G)12
H)1.5
(Make the ratios equal to each other)
(In reduced versions of themselves)
Answer:
a. 1 person
b. 3 people
c. 25 track shirts
d. 12 CDs
e. $8.75
f. 240 miles
g. $12
h. 1.5 gallons of red paint
Step-by-step explanation:
find out what the new given denominator (bottom number)/ numerator (top number) and divide the missing denominator/numerator by the number founded for the given numerator. in example: 3 people/9 pizzas. we are given the denominator of 3 pizzas and 9 divided by 3 is 3. so if the denominator is is dived by 3 the numerator must be divided by 3 as well. vice versa (same thing) if it was the numerator was given.
what is 9xyf=87 only answer if u don't have anxiety
Let's solve for f.
9xyf=87
Step 1: Divide both sides by 9xy.
9fxy / 9xy = 87 / 9xy
Description:
Since we are solving for f. Step 1 is to divide both sides by 9xy. That the only step to do. After you divide you answer will come as...
Answer: f=29/3xy
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pls help for brainliest answer
Answer:
A. x = 24
B. x = 20
Step-by-step explanation:
→A. Add 2 to both sides:
[tex]\frac{x}{3} -2=6[/tex]
[tex]\frac{x}{3} =8[/tex]
→The fraction [tex]\frac{x}{3}[/tex] is really just [tex]\frac{1}{3}x[/tex]:
→Multiply 3 to both sides:
x = 24
→B. Subtract 1 from both sides:
[tex]\frac{x}{5} +1=5[/tex]
[tex]\frac{x}{5} =4[/tex]
The fraction [tex]\frac{x}5}[/tex] is really just [tex]\frac{1}{5}x[/tex]:
→Multiply 5 to both sides:
x = 20