Answer:
See below ~
Step-by-step explanation:
Part (a) :
⇒ (5 + X) - Y
Part (b) :
⇒ 5x < 50
Part (c) :
⇒ X - 10
12 2/3+(9 6/8−3 1/4)
Answer:It is 19.7,??
Step-by-step explanation:
how much does it cost to run a 60 watt led light bulb for 24 hours
Running a 60-watt LED light bulb for 24 hours would consume 1.44 kilowatt-hours (kWh) of electricity, which, depending on the cost of electricity in your area, could range from around $0.10 to $0.30.
To calculate the cost of running a 60-watt LED light bulb for 24 hours, we need to determine the energy consumption in kilowatt-hours (kWh) and multiply it by the cost per kWh in your area.
First, convert the wattage to kilowatts by dividing it by 1000: 60 watts ÷ 1000 = 0.06 kilowatts.
Next, calculate the energy consumption by multiplying the power (0.06 kW) by the time (24 hours): 0.06 kW × 24 hours = 1.44 kWh.
The cost will vary depending on your location and the price of electricity. In the United States, the average residential electricity rate is around $0.13 per kWh. Multiplying the energy consumption (1.44 kWh) by the electricity rate ($0.13) gives us the cost: 1.44 kWh × $0.13/kWh = $0.1872.
Therefore, the cost to run a 60-watt LED light bulb for 24 hours would be around $0.10 to $0.30, depending on the specific electricity rates in your area.
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Beth wants to build a thin wire frame for a photo that is $$15 cm long and $$6 cm wide. What length of wire will she need to go around the entire photo?
Answer:
42
Step-by-step explanation:
1. PerimeterPerimeter is \(2l+2w\)
2. Solving\(2(15)+2(6)=30+12=42\)Answer: 42
Hope this helped! Please mark brainliest :)
after 4 years what is a total amount of a compound interest investment of $30,000 at 2% interest compounded monthly?round to the nearest cent
Compound interest formula:
A = P (1+r/n)^nt
Where:
A = total amount
P = principal investment
r= interest rate in decimal form = 2/100 = 0.02
t= years
n= number of compounding periods in a year= 12
Replacing:
A = 30,000 (1+0.02/12)^4x12
A = 30,000 (1.001666667)^48
A= 32,496.45
solve the problem with simplex method , and verify using graphical method
4) Min Z = -2X1 - 4X2 - 3X3
St. X1 + 3X2 + 2X3 <= 30 X1 + X2 + X3 <= 24
3X1 + 5X2 + 3X3 <= 60
Xi >= 0
The problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.
The problem can be solved using the simplex method, and verified using the graphical method. Here are the steps:
Convert the problem to standard form by introducing slack variables:
Min Z = -2X1 - 4X2 - 3X3 + 0S1 + 0S2 + 0S3
St. X1 + 3X2 + 2X3 + S1 = 30
X1 + X2 + X3 + S2 = 24
3X1 + 5X2 + 3X3 + S3 = 60
Xi, Si >= 0
Set up the initial simplex tableau:
| 1 3 2 1 0 0 30 |
| 1 1 1 0 1 0 24 |
| 3 5 3 0 0 1 60 |
| 2 4 3 0 0 0 0 |
Identify the entering variable (most negative coefficient in the objective row): X2
Identify the leaving variable (smallest ratio of RHS to coefficient of entering variable): S1
Pivot around the intersection of the entering and leaving variables to create a new tableau:
| 0 2 1 1 -1 0 6 |
| 1 0 0 -1 2 0 18 |
| 0 0 0 5 -5 1 30 |
| 2 0 1 -2 4 0 36 |
Repeat steps 3-5 until there are no more negative coefficients in the objective row. The final tableau is:
| 0 0 0 7/5 -3/5 0 18 |
| 1 0 0 -1/5 2/5 0 6 |
| 0 0 1 1/5 -1/5 0 6 |
| 0 0 0 -2 4 0 24 |
The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.
To verify the solution using the graphical method, plot the constraints on a graph and find the feasible region. The optimal solution will be at one of the corner points of the feasible region. By checking the values of the objective function at each corner point, we can verify that the optimal solution found using the simplex method is correct.
In conclusion, the problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.
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Funky Fro-Yo
The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in
the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes
you can fill your cup with yogurt and toppings for $0.40 per ounce.
1. Write an equation that gives the total cost in dollars, d, of attending the event if you
order z ounces of fro-yo.
2. If your cup weighs 14 ounces, how much would you pay in total for the evening?
1) An equation that gives the total cost in dollars, d, of attending the event if you order z ounces of fro-yo is d = $5 + $0.40z
2) 2. If your cup weighs 14 ounces, you would pay $10.6 in total for the evening.
Define equation.A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts.
Given,
The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes you can fill your cup with yogurt and toppings for $0.40 per ounce.
1) Total cost = d
Total ounces = z
Equation
d = $5 + $0.40z
2) If cup weighs 14 ounces
d = $5 + 0.40(14)
d = $5 + $5.6
Total cost:
d = $10.6
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Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88 for 12 pouches. Turbo Taste costs $10.20 for 20 pouches. How much more does Turbo Taste cost per pouch?
Answer:
2 cents
Step-by-step explanation:
you would just divide the Flav-O-Squeeze price by 12 since there are 12 pouches and the Turbo Taste price by 20 since there are 20 pouches and then you would get 1 pack of Flav-O-Squeeze is 49 cents and 1 pack of Turbo Taste is 51 cents and if you subtract them Turbo Taste is 2 cents more then Flav-O-Squeeze
The cost of Turbo Taste per pouch is $0.02.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88 for 12 pouches. Turbo Taste costs $10.20 for 20 pouches.
The more cost will be calculated as,
Cost of Turbo Taste = 10.20 / 20 = $0.51
The cost of Flate-O-Squeeze = 5.88 / 12 = $0.49
The more cost of Turbo-Taste = 0.51 - 0.49
The more cost of Turbo-Taste = $0.02
Therefore, the cost of Turbo Taste per pouch is $0.02.
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What is the ratio(fraction) for sin B
Answer:
sin B = 4/5
Step-by-step explanation:
sine is opposite over hypotenuse
if there appears to be a relationship in scatterplot 4, would you describe the linear relationship as positive or negative?
if there appears to be a relationship in scatterplot 4,The linear relationship in scatterplot 4 appears to be negative.
When examining scatterplot 4, we can see that as the values of the x-axis increase, the values of the y-axis decrease in a linear relationship. This implies that as the values of the x-axis increase, the values of the y-axis decrease at a constant rate. This indicates a negative linear relationship between the two variables, meaning that as one variable increases, the other variable decreases in a linear fashion.
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What are the opposites of 8, −5. 8, 2. 25, and 9
1
2
? Enter the answers in respective order, each separated by comma
To find the opposites of the given numbers, we simply change the sign of each number to its opposite.
Opposite of 8: Change the sign of 8, so the opposite of 8 is -8.
Opposite of -5.8: Change the sign of -5.8, so the opposite of -5.8 is 5.8.
Opposite of 2.25: Change the sign of 2.25, so the opposite of 2.25 is -2.25.
Opposite of 9/12: Change the sign of 9/12, so the opposite of 9/12 is -9/12 or -3/4.
So, the opposites of the given numbers are: -8, 5.8, -2.25, -9/12 or -3/4.
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can somebody help me with this question
Answer: C
Step-by-step explanation:
The area of a circle is ∏r2- (Pi)(Radius)-squared
The Answer is C
Find the point(s) of intersection, if any, between each circle and line with the equations given.
x^{2}+y^{2}=5
y=3 x
The points of intersection between the circle and the line are (2/√10,6/√10) and (-2/√10,-6/√10).
The given problem is to find the point of intersection of the circle and the line. The equation of the line is y=3x, which is a straight line passing through the origin, and the equation of the circle is x^2+y^2=16, which is centered at the origin with a radius of 4.
To find the points of intersection between the circle and the line, we need to substitute the equation of the line into the equation of the circle and solve for x.
Substituting y=3x into x^2+y^2=16, we get
x^2+(3x)^2=16 or x^2+9x^2=16 or 10x^2=16 or x^2=16/10 or x=±2/√10.
We can then substitute these values of x into the equation of the line to find the corresponding values of y. When x=2/√10, we get y=3(2/√10)=6/√10, and when x=-2/√10, we get y=3(-2/√10)=-6/√10.
Therefore, the points of intersection between the circle and the line are (2/√10,6/√10) and (-2/√10,-6/√10).
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I-Ready
Describe Angle Relationships in Triangles - Quiz - Level H
The figure shoys a triangle with unknown angles.
Which equation shows the relationship between the angles in the triangle?
mL1 + mL2 + mL3 = 360°
mL1 + mL2 + mL3 = 180°
mL1 + mL2 = 360° + mL3
mL1 + mL2 = 180° + mL3
The equation that shows the relationship between the angles in the triangle is m∠1 + m∠2 + m∠3 = 180.
What is the relationship between the angles of the triangle?The equation that shows the relationship between the angles in the triangle is determined as follows;
The sum of angles in a triangle is equal to 180 degrees.
So based on this information, the equation that shows the relationship between the angles in the triangle is formulated as;
angle 1 + angle 2 + angle 3 = 180
We can re-write the equation as follows;
m∠1 + m∠2 + m∠3 = 180
Thus, the equation that shows the relationship between the angles in the triangle is the sum of angle 1 plus angle 2 plus angle 3.
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What is the function g(x) created from f(x) = x ^ 2 xby moving the graph right 4 unitsadding vertical compression by factor of and shifting the graph up 6 units 1/3
Answer:
i believe its g(x) = 1/3(x+4)^2+6
Step-by-step explanation:
Suppose that E and F are two events and that P(E)= 0.6 and P(F|E)= 0.5. What is P(E and F)?P(E and F) = (Simplify your answer.)
If E and F are two events, P(E)= 0.6 and P(F|E)= 0.5. The value of P(E and F) will be 0.30.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that, E and F are two events and that P(E)= 0.6 and P(F|E)= 0.5
As we know,
P(F|E)=P(E and F) / P(E)
0.5 = P(E and F) / 0.6
P(E and F)=0.5×0.6
P(E and F)=0.30
Thus, if E and F are two events, P(E)= 0.6 and P(F|E)= 0.5. The value of P(E and F) will be 0.30.
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To wash a window that is 12 feet off the ground, Mason leans a 20-foot ladder against the side of the building. To reach the window, how far away from the building should Mason place the base of the ladder?
Answer:
by clumbing the ladder
Step-by-step explanation:
The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.
help please this has to be done
Answer:
100
Step-by-step explanation:
a triangle is 180, so 180-58-22 is your answer
Graph the solution to this inequality on the number line.
−4m+3>11
Answer: The person above me is correct. Here is a picture if you still dont get it..
Step-by-step explanation:
fill in the missing number: 0,1,1,2,3,5,8,13,-,34,55
The missing number of the series is 21.
The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.
Using this pattern, we can determine the missing number in the sequence.
0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55
Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.
Therefore, the completed sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.
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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.
To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.
The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:
011235813213455Therefore, the missing number in the sequence is 21.
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Michaela drops a ball vertically from a height of 80 feet. The peak height after each bounce is half the previous height.
How far does the ball travel from the time she drops it until it reaches the peak height after the 5th bounce?
O 155 ft
O 230 ft
O 232.5 ft
O 312.5 ft
Answer:
232.5 ft
Step-by-step explanation:
Bounce
1
2
3
4
5
80 + 40X2 + 20 x 2 + 10 x 2 + 5 x 2 + 2.5 = 232.5 ft
Rocky Mountain Tire Center sells 7,000 go-cart tires per year. The ordering cost for each order is $40, and the holding cost is 40% of the purchase price of the tires per year. The purchase price is $23 per tire if fewer than 200 tires are ordered, $18 per tire if 200 or more, but fewer than 5,000 , tires are ordered, and $15 per tire if 5,000 or more tires are ordered. a) How many tires should Rocky Mountain order each time it places an order?
To determine the optimal order quantity for Rocky Mountain Tire Center, you must consider ordering costs, storage costs, and the purchase price of the tires. The order quantity should minimize the total cost including both ordering cost and storage cost.
The EOQ formula is given by: EOQ = √((2DS) / H)
Where: D = Annual demand (7,000 go-cart tires)
S = Ordering cost per order ($40) H = Holding cost - percentage of the purchase price (40% of the purchase price)
we need to determine the purchase price per tire based on the quantity ordered.
EOQ = √((2 * 7,000 * 40) / (0.4 * 15))
=118 tires
they should order approximately 118 tires.
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The table shows the cost of buying x tickets to a school play.
Buying Tickets
\table[[Number of Tickets, x],[2,5],[10,13],[Cost, y],[$8.50,$21.25],[$42.50,$55.25]]
If the data are graphed on a coordinate grid, what is the y-intercept of the line that passes through these data points?
(A) 2.55
(B) 8.50
(c) 4.25
(D) 0
Answer: Answer is 4.25
Step-by-step explanation: Jus take you first number (2 over 8.50) and divide. You get 4.25. Now try to multiply or add for other numbers, and you find multiplying 4.25 by X will get you the answer of Y.
please help me and show your work please ill mark you brainliest :)
Answer:
Step 1 and step 2
Step-by-step explanation:
she has to subtract 30 not add 30.
2(3x+6)=3(x-10)
6x + 12 = 3x-30
6x +12 - 12 = 3x - 30 - 12
6x = 3x - 42
6x - 3x = 3x - 42 - 3x
3x = -42
3x/3 = -42/3
x = -14
Answer:
B
Step-by-step explanation:
Hey There!
So the first thing we're going to do is solve it and then compare it to Maya's steps to see where she made the mistake
2(3x+6)=3(x-10)
step 1 distribute the 2 to whats inside of the parenthesis (3x+6)
2*3x=6x
2*6=12
now we have
6x+12=3(x-10)
step 2 distribute 3 to what's inside of the parenthesis
3*x=3x
3*-10=-30
we're left with
6x+12=3x-30
step 3 add 30 to each side
12+30=42
now we have
6x+42=3x
step 4 subtract 6x from each side
3x-6x=-3x
now we have
-3x=42
step 5 divide each side by -3
42/-3=-14
so x = -14
now lets compare our steps to maya's
as we look at the steps we notice that she messes up on step 2
when distributing 3 to -10
she gets positive 30 but its supposed to be -30
so we can conclude that she mad a mistake from step 1 to step 2
therefore the second one is your answer
Using the GCF factor the given expression: 4m - 20
Solution:
Given the expression below
\(4m-20\)Using the GCF factor, the expression becomes
\(\begin{gathered} The\text{ common factor is 4} \\ 4m-20=4(m-5) \end{gathered}\)Hence, the answer is 4(m - 5)
1. Tyler was driving to the grocery store. As he was turning into the parking lot he was rear-ended by Harold. Tyler's head hit the steering wheel and he was taken to the hospital by ambulance. Harold failed to pay his insurance premium for several months and his policy was canceled. What type of automobile insurance coverage(s) is needed in this situation?
The type of automobile insurance coverage that is needed in this problem is of:
Liability coverage.
What are the types of car insurance coverage?The types of car insurance coverage are listed as follows:
Liability coverage.Uninsured and underinsured motorist coverage.Comprehensive coverage.Collision coverage.Personal Injury coverage.In this problem, the situation is that Harold caused a collision that resulted in injuries to Tyler, who has to pay the ambulance/hospital bill.
This means that Harold is liable to the injuries caused to Tyler, meaning that he needs liability coverage to help pay the hospital/ambulance bill, as collision coverage and personal injury coverages are for the victim and not for the person that caused an accident.
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A whole pizza is cut into 8 pieces and you eat 2 of the 1/8 pieces, how much (in a fraction) is left over? 3/8
4/6
2/8
6/8
Answer:
6/8 is left
Step-by-step explanation:
Hope this helps!! Can I get brainliest please??? :)
8 pieces = 8/8
8/8 - 1/8 - 1/8 = 6/8
or
8/8 - 2/8 = 6/8
Find the values of for which the determinant is zero. (Enter your answers as a comma-separated list.) 0 O> 2 0 2+ 3 4 а 1 = 1, 73 -3 -(V73 +3) 2 2
The value of "a" for which the determinant is zero is (1 - sqrt(3))/2.
How to find the values for which the determinant is zero? We will first calculate the determinant of the given matrix and then solve for the variable. The given matrix is:
| 0 2 0 |
| 2 3 4 |
| a 1 1 - sqrt(3)|
Step 1: Calculate the determinant using the first row:
Determinant = 0 * (3*(1 - sqrt(3)) - 4) - 2 * (2*(1 - sqrt(3)) - 4*a) + 0 * (2 - 3*a)
Step 2: Simplify the determinant:
Determinant = -2 * (2 - 2*sqrt(3) - 4*a)
Step 3: Set the determinant to zero and solve for "a":
-2 * (2 - 2*sqrt(3) - 4*a) = 0
Divide both sides by -2:
(2 - 2*sqrt(3) - 4*a) = 0
Rearrange the equation to isolate "a":
4*a = 2 - 2*sqrt(3)
Divide both sides by 4:
a = (2 - 2*sqrt(3))/4
Simplify the fraction:
a = (1 - sqrt(3))/2
So, the value of "a" for which the determinant is zero is (1 - sqrt(3))/2.
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Common denominator of 1/6
Answer:
24 the answer is 24
Step-by-step explanation:
that's because the (LCD) of 1/6 is 24
Someone help pleaseeee
Answer:
Part A = D
Part B = 5 and 50
Step-by-step explanation:
Part A:
area = 5*4x = 20x
so, \(100 \leq 20x \leq 1000\)
Part B:
to leave it only by x, you divide both sides by 20
100/20 = 5, 1000/20 = 50
which \(5\leq x\leq 50\)
If in a population of 100 individuals, the allele frequency of the dominant allele is 0.8, how many homozygous dominant individuals are there? a. 64 b. 32 c. 16 d. 80
The answer is 64. To find the number of homozygous dominant individuals in the population.
We need to use the Hardy-Weinberg equation:
p^2 + 2pq + q^2 = 1
Where:
p = frequency of dominant allele
q = frequency of recessive allele
Since the dominant allele frequency is 0.8, we can assume that the recessive allele frequency is 0.2 (since p + q = 1).
To find the frequency of homozygous dominant individuals (p^2), we simply square the frequency of the dominant allele:
p^2 = (0.8)^2 = 0.64
To find the number of homozygous dominant individuals, we multiply the frequency by the total population size:
0.64 x 100 = 64
Therefore, there are 64 homozygous dominant individuals in the population.
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