Answer:
( Since there are two terms written in the question so ....)
Let the other term be x
A/Q,
13+x
was it helpful?
comment down
if there is any kind of suspicious mistakes sorry...
Thanks
What is the slope of the points (19, -2), (-11, 10)?
Answer:
-2/5
Step-by-step explanation:
the slope is change in y over change in x
formula for slope is
(y2-y1)/(x2-x1), so if you input the coordinates, (10-(-2))/(-11-19) = 12/30 = 2/5
The cost of insurance for your car is 23% of the cost of your new car. The new car costs $20,000. What's the cost of your insurance for the first year?
$460
$920
$230
Answer:
$460
Step-by-step explanation:
Because if you put 23% over 100 and multiply it by 20,000 you should get that
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Which expression is equivalent to 5(8 + 9)?
options: 40 + 45
13 + 9
13 + 14
40 + 9
a circular wheel of a diameter 35 cm makes 100 revolutions in 1 min. Calculate the distance covered by the wheel in half an hour.express answer in km. take pie 22/7
Answer ASAP
Answer:
Circumference = Diameter × π
Circumference = 35 cm × 3.14
Circumference = 109.9 cm
The number of revolutions in 1 minute is given as 100, so the distance covered in 1 minute can be calculated as:
Distance in 1 minute = Circumference × Revolutions
Distance in 1 minute = 109.9 cm × 100
Distance in 1 minute = 10990 cm
To find the distance covered in half an hour, we need to multiply the distance in 1 minute by 30, since there are 30 minutes in half an hour:
Distance in half an hour = Distance in 1 minute × 30
Distance in half an hour = 10990 cm × 30
Distance in half an hour = 329700 cm
To express the answer in km, we need to divide the distance in cm by 100000, since there are 100000 cm in a km:
Distance in km = Distance in cm / 100000
Distance in km = 329700 cm / 100000
Distance in km = 3.297 km
Therefore the distance covered by the wheel in half an hour is 3.297 km.
Bernard typically runs x km/hour. While he was sick, he only ran 41.5 km/hour. What equation represents that the
difference in his speeds is 13.5 km/hour?
O x-41.5=13.5
O 415+x= 13.5
O 13.5-x=41.5
O 13.5-41.5=x
I need help with my questions
Answer:
1) (-A+B)=(B-A) is true
Step-by-step explanation:
I am guessing you are looking for which statement is true. The answer is 1, (-A+B)=(B-A), as the others are incorrect.
2) A x 0 = 0, not 1
3) - (-A) = A, not - A
4) A/B will not be the same as B/A unless the values of A and B are 1
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
which property is illustrated by the following ?
if 2 (x+y) = z , then 2x +2y = z
Step-by-step explanation:
Distributive Property
An isosceles trapezoid has a perimeter of 108 metres. Its shorter base measures 11.5 metres and its longer base measures 28.1 metres. The two remaining sides have the same length; what is that length?
The length of one of the remaining sides is 34.20 meters.
What is the length?A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Perimeter of an isosceles trapezoid = sum of lengths of sides of a trapezoid
length of shorter base + length of longer base + (2 x legs)
108 = 11.5 + 28.1 + (2 x legs)
108 = 39.60 + (2 x legs)
108 - 39.60 = (2 x legs)
68.40 = (2 x legs)
leg = 68.40 / 2
= 34.20 meters
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer: A
Step-by-step explanation:
We can use the logarithmic identity logb(a^n) = n*logb(a) to solve this problem.
First, we need to express 4 as a power of 2. We know that 2^2 = 4, so we can write:
log4 = log2^2
Then we can use the identity to rewrite this as:
log4 = 2*log2
Now we can use the given approximation log2 ≈ 0.4307 to approximate log4:
log4 ≈ 2 * 0.4307
log4 ≈ 0.8614
Therefore, the answer is (A) 0.8614.
A bag contains counters that are red, black , or green . 1/3 of the counters are red 1/6 of the counters are black There are 15 green counters in the bag. How many black counters are in the bag ?
i’ll give brainliest;)
Answer:
Number of black counters = 5
Step-by-step explanation:
Let,
x be the total number of counters
Number of red counters = \(\frac{1}{3}x\)
Number of black counters = \(\frac{1}{6}x\)
Number of green counters = 15
Now,
Red counters + Black counters + Green counters = Total counters
\(\frac{1}{3}x+\frac{1}{6}x+15=x\\\\\frac{2x+x+90}{6}=x\\\\3x+90 = 6x\\90 = 6x-3x \\90 = 3x\\3x = 90\)
Dividing both sides by 3
\(\frac{3x}{3}=\frac{90}{3}\\x=30\)
Number of black counters = \(\frac{1}{6}*30\) = 5
Hence,
Number of black counters = 5
Five Factors Effecting the
Economic
Environment
Financial State
Ecological Environment
Production Facilities
- Personal
expertise
growth of food service industry
Answer:
environment .. pollution
growth if of food.... wealthy too much rain or no rain
PRED
Which expression has the same value as the expression shown below?
-3/7- 7/8
The expression which has the same value as -3/7 - 7/8 is -73/56
What is the equivalent expression?A fraction refers to a number which has a numerator and a denominator.
A numerator is the upper value of a fraction while a denominator is the lower value of a fraction.
A fraction can be added or subtracted by finding the lowest common multiple of the denominator.
-3/7 - 7/8
= (-24-49) / 56
= -73/56
In conclusion, -73/56 is equivalent to -3/7 - 7/8
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Answer:
\( \sf \: \frac{ - 73 \: }{ \: 56} \)
Step-by-step explanation:
Given problem,
\( \sf \rightarrow \: \frac{ - 3 \: }{ \:7} - \frac{7}{8} \)
Let's solve the problem,
\( \sf \rightarrow \: \frac{ - 3 \: }{ \:7} - \frac{7}{8} \)
\( \sf \rightarrow \: \frac{( - 3) \times 8}{(7) \times 8} - \frac{(7) \times 7}{(8) \times 7} \)
\( \sf \rightarrow \: \frac{ - 24 \: }{ \: 56} - \frac{49}{56} \)
\( \sf \rightarrow \: \frac{( - 24 \: - \: 49)}{56} \)
\( \sf \rightarrow \: \frac{ - 73 \: }{ \: 56} \)
Hence, answer is -73/56.
Which graph shows a function whose domain and range exclude exactly one value?
Answer:
C (the third graph)
Step-by-step explanation:
This graph's function has a domain and range that both exclude one value, which is 0. The x and y values are never 0 in the function, as it approaches 0 but never meets it.
Answer:
see below
Step-by-step explanation:
This graph has an asymptote at y = 0 and x=0
This excludes these values
The domain excludes x =0
The range excludes y=0
3. You get three summer jobs to help you save for college expenses. In your job as a cashier,
you work 20 hours per week and earn $9.50 per hour. Your second and third jobs are at a local
hospital. There, you earn $9.00 per hour as a payroll clerk and $7.00 per hour as an aide. You
always work 10 hours less per week as an aide than you do as a payroll clerk. Your total weekly
salary depends on the number of hours you work at each job.
a. Determine the input and output variables for this situation.
b. Explain how you calculate the total amount earned each week.
c. If x represents the number of hours you work as a payroll clerk, represent the number of
hours you work as an aide in terms of x.
d. Write an equation that describes the total amount you earn each week. Use x to represent
the input variable and y to represent the output variable. Simplify the expression as much
as possible.
e. If you work 12 hours as a payroll clerk, how much will you make in one week?
f. What are the practical replacement values for x? Would 8 hours at your payroll job be a
realistic replacement value? What about 50 hours?
g. When you don't work as an aide, what is your total weekly salary?
Please help!
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
What is a Variable?A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .
a. Input variables: hours worked as a cashier, payroll clerk, and assistant.
The total amount earned each week is the output variable.
b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:
Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)
c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).
d. The equation describing the total money earned each week is as follows:
(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y
This expression is simplified as follows:
y = 190 + 9x - 70 + 7x
y = 16x + 120
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.
g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:
y = 16x + 120 + 0
y = 16x + 120
As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.
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A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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A company is considering introducing two new products. Based on sampling results, the company is expecting a probability of success for Product A of 60% and a probability of success for Product B of 80%. The success of Product A is independent of Product B's success. What is the probability that both Product A and Product B will be successful
Answer:
I think b
-gxtpuf6a4t sketch see ura5wfyzrud
Can someone help please
let's bear in mind that complex roots never come alone, their conjugate sister is always with her, so if we have the complex root of "i" or namely "0 + i", her conjugate is also coming along, or "0 - i", so we really have four roots, so
\(\begin{cases} x = 0+i &\implies x -i=0\\ x = 0-i &\implies x +i=0\\ x = \sqrt{2} &\implies x -\sqrt{2}=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = \stackrel{0}{y}}\hspace{5em}\stackrel{\textit{we are assuming that}}{a=1} \\\\\\ 1( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = y\implies ( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = y \\\\[-0.35em] ~\dotfill\)
\(\stackrel{ \textit{difference of squares} }{( x -i )( x +i )}\implies x^2 - i^2\implies x^2-(-1)\implies x^2+1 \\\\[-0.35em] ~\dotfill\\\\ (x^2+1)( x -\sqrt{2} )( x -3 )\implies (x^2+1)(x^2-3x-x\sqrt{2}+3\sqrt{2}) \\\\\\ (x^2+1)[x^2-x(3+\sqrt{2})+3\sqrt{2}] \\\\\\ x^4-x^3(3+\sqrt{2})+3x^2\sqrt{2}+x^2-x(3+\sqrt{2})+3\sqrt{2} \\\\\\ \boxed{x^4-x^3(3+\sqrt{2})+x^2(3\sqrt{2}+1)-x(3+\sqrt{2})+3\sqrt{2}~~ = ~~y}\)
Solve the equation.
5.16 = 4n
Show your work.
Answer:
5.16=4n
Step 1: Flip the equation.
4n=5.16
Step 2: Divide both sides by 4.
4n/4= 5.16/4
anwers n=1.29
Step-by-step explanation:
I hope this help ;-)
A pencil consists of a cone stacked on top of a cylinder. The diameter of the cylindrical base of the pencil is 10 mm and the height of the cylinder is 70 mm, while the height of the cone is 12 mm. Calculate the surface area of the pencil. Leave your answer in terms of π. 835π sq. mm. 790π sq. mm. 785π sq. mm. 1820π sq. mm.
Answer:
790π
Step-by-step explanation:
We are given;
Diameter of cylinder;d = 10 mm
So, radius;r = 10/2 = 5 mm
Height of cylinder;h = 70mm
Surface area of cylinder is given by the formula; S.A = 2πr² + 2πrh
Plugging in the relevant values, we have;S.A = 2π(5)² + 2π(5)(70)
S.A = 50π + 700π
S.A = 750π
Now, because one base of the cylinder is hidden as the cone is stacked on that face, we will deduct the area of that base face;
Thus, Surface area = 750π - π(5)² = 750π - 25π = 725π
For the cone,
Height;h = 12mm
Since this is stacked directly on the cylinder, it will have the same radius. Thus; radius;r = 5mm
Now,formula for surface area of cone is;
S.A = πr² + πrL
Where L is slant height.
We can use pythagoras theorem to get L.
So, L² = r² + h²
L = √r² + h²
L = √(5² + 12²)
L = √(25 + 144)
L = √169
L = 13
So, S.A of cone = π(5)² + (π×5×13)
S.A = 25π + 65π = 90π
Similar to what was done to the Cylinder, since the circular base of the cone is stacked on the cylinder, we will deduct the surface area of that base as it is hidden.
So, S.A is now = 90π - π(5)²
= 90π - 25π = 65π
Thus,total surface area of the pencil = 725π + 65π = 790π
Answer:\(790\pi sq. Mm\)
Step-by-step explanation:got it right on the test
Find the centroid of the quarter of the unit circle lying in the fourth quadrant.
Step-by-step explanation:
In the fourth quadrant, the equation of the unit circle is:
y = -√(1 − x²), 0 ≤ x ≤ 1
The x and y coordinates of the centroid are:
cₓ = (∫ x dA) / A = (∫ xy dx) / A
cᵧ = (∫ y dA) / A = (∫ ½ y² dx) / A
For a quarter circle in the fourth quadrant, A = -π/4.
Solving each integral:
∫₀¹ xy dx
= ∫₀¹ -x √(1 − x²) dx
= ½ ∫₀¹ -2x √(1 − x²) dx
If u = 1 − x², then du = -2x dx.
When x = 0, u = 1. When x = 1, u = 0.
= ½ ∫₁⁰ √u du
= ½ ∫₁⁰ u^½ du
= ½ (⅔ u^³/₂) |₁⁰
= (⅓ u√u) |₁⁰
= 0 − ⅓
= -⅓
∫₀¹ ½ y² dx
= ½ ∫₀¹ (1 − x²) dx
= ½ (x − ⅓ x³) |₀¹
= ½ [(1 − ⅓) − (0 − 0)]
= ⅓
Therefore, the x and y coordinates of the centroid are:
cₓ = (-⅓) / (-π/4) = 4/(3π)
cᵧ = (⅓) / (-π/4) = -4/(3π)
Eugene and Jessica each improved their yards by planting hostas and geraniums. They bought
their supplies from the same store. Eugene spent $150 on 18 hostas and 6 geraniums. Jessica
spent $113 on 7 hostas and 16 geraniums. Find the cost of one hosta and the cost of one
geranium.
The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.
Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.
From the information given, we can set up the following equations:
Eugene's spending:
18h + 6g = $150
Jessica's spending:
7h + 16g = $113
We can now solve this system of equations to find the values of 'h' and 'g'.
Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:
36h + 12g = $300
21h + 48g = $339
Now, we can subtract the second equation from the first to eliminate 'h':
(36h + 12g) - (21h + 48g) = $300 - $339
36h - 21h + 12g - 48g = -$39
15h - 36g = -$39
Simplifying further, we have:
15h - 36g = -$39
Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.
Let's solve for 'h':
15h = 36g - $39
h = (36g - $39) / 15
Substituting this value of 'h' into Eugene's equation:
18[(36g - $39) / 15] + 6g = $150
(648g - $702) / 15 + 6g = $150
648g - $702 + 90g = $150 * 15
738g - $702 = $2250
738g = $2250 + $702
738g = $2952
g = $2952 / 738
g ≈ $4
Now, substituting the value of 'g' back into Eugene's equation:
18h + 6($4) = $150
18h + $24 = $150
18h = $150 - $24
18h = $126
h = $126 / 18
h ≈ $7
Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
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write out the following decimal
300+.10+0.004
Answer:
300.104
Step-by-step explanation:
Solve for the missing side length. Round to the nearest tenth.
5.8
5.2
5.4
5.6
Answer:
C) 5.4-------------------------
Given two legs of a right triangle and we need to find the hypotenuse.
Use Pythagorean theorem:
\(PQ = \sqrt{QR^2+PR^2}\)\(PQ = \sqrt{2^2+5^2} =\sqrt{29} =5.385 = 5.4\ (rounded)\)The matching choice is C.
Katie wants to buy a sundress priced at $40.00. If the sales tax is 6%, what is the total amount she must pay for the sundress?
Responses
Answer:
It should be 42.4
The slope of the line perpendicular to the line: y= ½ x+ 10
Question 14 options:
-2
10
2
1/2
Answer: -2
Step-by-step explanation:
The slope of the line perpendicular to another slope is the opposite sign and flipped(reciprocal)
The slope of the line = 1/2
So the perpendicular slope = -2
Three fifths of the adults at a party are male.
There are 40 adults at the party.
How many of the adults are male?
There are 6 pails in a row. The first 3 pails are filled with water. How can you make only one adjustment to make the following pattern: full, empty, full, empty, full and empty?
The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
Given that, there are 6 pails in a row. The first 3 pails are filled with water.
The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.
Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
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Hmm can you help me solve god bless you
Answer:
(3/2)x - 14
Step-by-step explanation:
If two lines are perpendicular, their slopes are mathematically negative reciprocals of one another.
Here the given line is y = (-2/3)x; the slope is -2/3, and the negative reciprocal of that is 3/2. The desired line will have this slope 3/2.
Using the slope-intercept form of the equation of a straight line, y = mx + b, we write out
-8 = (3/2)(4) + b, obtaining -8 = 6 + b, or b = -14.
The desired equation is (3/2)x - 14.
i have 10,000 Coins on my floor and each coin is 0.75 inches in diameter and 0.061 inches thick. If the jar containing the coins has a diameter of 6 inches and a height of 11.5 inches, will all of my coins fit inside the jar?