Answer: slope = 6/15
Step-by-step explanation:
▪︎ Slope = rise / run
▪︎ Rise = y2 - y1
▪︎ Run = x2 - x1
☆ Two points: (-7, -2) and (8, 4)
=> Rise = 4 - (-2) = 4 + 2 = 6
=> Run = 8 - (-7) = 8 + 7 = 15
=> Slope = 6/15
Find the sum of the first six terms of the geometric sequence.
an = 8(3)n-1
2,952
8,774
2,910
2,912
Answer:
yegegeggg
Step-by-step explanation:
hehehheeuue
Answer:
the answer is 2,912
Step-by-step explanation:
i just took the test
select true statement
Answer:
Both are true.
Step-by-step explanation:
A absolute always has a positive answer no matter what.
Answer:
Both of the answers are true!
Absolute value always has a positive answer.
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Work out x^2- 2x
when x =4
Answer:
8
Step-by-step explanation:
\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)
a politician claims that he is supported by a clear majority of voters. in a recent survey, 42 out of 70 randomly selected voters indicated that they would vote for the politician. specify the null and the alternative hypotheses.
Answer:
Step-by-step explanation:
The null hypothesis is that the politician is not supported by a clear majority of voters.
In statistical terms, this can be represented as the proportion of voters who support the politician is equal to or less than 0.5. The alternative hypothesis is that the politician is supported by a clear majority of voters. In statistical terms, this can be represented as the proportion of voters who support the politician is greater than 0.5. In summary:
Null hypothesis (H0): p ≤ 0.5
Alternative hypothesis (Ha): p > 0.5
Where p is the proportion of voters who support the politician in the population. The survey result of 42 out of 70 voters can be used to test this hypothesis through statistical methods such as a one-sample proportion test.
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a drawer has 2 red socks, 2 blue socks, and 2 green socks. two socks are pulled out on three successive days, without replacement. what is the 15 times the probability of pulling socks of different colors every day?
The 15 times the probability of pulling socks of different colors every day is 6/5 or 1.2.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.
The total number of socks in the drawer is 2 + 2 + 2 = 6.
On the first day, any sock can be chosen, so the probability of selecting a sock of a particular color is 2/6 = 1/3.
On the second day, there are only 5 socks left, so the probability of selecting a sock of a different color from the first day is 4/5.
On the third day, there are only 4 socks left, so the probability of selecting a sock of a different color from the first two days is 2/4 = 1/2.
To find the probability of pulling socks of different colors on all three days, we need to multiply the probabilities of each day:
P(different colors for all 3 days) = (1/3) × (4/5) × (1/2)
P(different colors for all 3 days) = 2/25
To get the 15 times probability, we multiply by 15:
15 × 2/25 = 6/5
Therefore, the answer is 6/5 or 1.2.
Hence, the 15 times the probability of pulling socks of different colors every day is 6/5 or 1.2.
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1600 watt electric oven is used for 9 hours. calculate the cost of #3 per unit energy
The cost of using a 1600-watt electric oven for 9 hours at a rate of $3 per unit energy can be calculated by determining the total energy consumed and multiplying it by the cost per unit energy.
To calculate the total energy consumed, we need to convert the power of the oven from watts to kilowatts and multiply it by the time it is used.
Power of the oven = 1600 watts = 1.6 kilowatts
Time used = 9 hours
Total energy consumed = Power × Time = 1.6 kW × 9 hours = 14.4 kilowatt-hours (kWh)
To calculate the cost, we multiply the total energy consumed by the cost per unit energy.
Cost = Total energy consumed × Cost per unit energy = 14.4 kWh × $3/kWh = $43.20
Therefore, the cost of using the 1600-watt electric oven for 9 hours at a rate of $3 per unit energy would be $43.20. It's important to note that the cost per unit energy may vary depending on the electricity provider and location, so it's essential to refer to the specific cost provided by the utility company to get an accurate calculation.
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HELPPPP ASAPPPP PLEASE
A postal service offers flat-rate shipping for mail in special boxes. Today, Ahmed shipped 1
small box and 6 medium boxes, which cost him 360 dirhams to ship. Meanwhile, Sarah
shipped 3 small boxes and 6 medium boxes, and paid 420 dirhams.
a) Write a system of equations that represents Ahmed and Sara's purchases.
Answer:
Ahmed:
x + 6y = 360
Sarah:
3x + 6y = 420
Step-by-step explanation:
Let
Cost of the small box = x
Cost of the medium box = y
Ahmed:
x + 6y = 360
Sarah:
3x + 6y = 420
x + 6y = 360 (1)
3x + 6y = 420 (2)
Eliminate y by subtracting (1) from (2)
3x - x + 6y - 6y = 420 - 360
2x = 60
x = 60/2
x = 30
Substitute x = 30 into (1) to find y
x + 6y = 360
30 + 6y = 360
6y = 360 - 30
6y = 330
y = 330/6
y = 55
Cost of the small box = x = 30 dirhams
Cost of the medium box = y = 55 dirhams
The total number of degrees in the center is 360°. if all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles? 54° 72° 108° 144°
Answer:
54°
Step-by-step explanation:
Since the 5 vertex angles are congruent, each vertex angle = 360/5 = 72°
The sum of the angles of each triangle is 180-72 = 108°
The base angles of each triangle are equal to each other so each base angle = 108/2 = 54°
which of the following fraction comparison problems can be solved with a same number of missing pieces strategy? a. 1/2 vs. 7/9 b. 4/5 vs. 3/5 c. 5/6 vs. 5/8 d. 4/9 vs. 2/7
4/5 vs. 3/5 is the fraction comparison problem that can be resolved using the same number of missing pieces approach.
The same number of missing pieces method compares the numerator of two fractions after determining the common denominator for the two fractions. Only when the denominators of the fractions are different does this method work. We can identify a common denominator of 20 and compare the numerators in option b because the denominators (4 and 3) disagree.
Consequently, 4/5 can be expressed as 16/20 and 3/5 as 12/20. When we compare the numerators, we obtain 16 > 12, meaning that 4/5 is higher than 3/5. Because they share the same denominator or have no common factor, the other possibilities cannot be solved using the same number of missing pieces technique.
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HELP PLEASE I AM STRUGGLING!!!!!!!!!!!!
what is the first natural number
A.0 B.1. C.-1
Answer:
1
Step-by-step explanation:
1 is the first natural number because 0 is not a natural number.
All natural numbers are numbers from 1 onward.
Ex. 1.2.3.4.5.6...
help me im really bad at math
Answer:
Greater than or >
Step-by-step explanation:
Since it is negative the -1/2 is greater than the -3.75
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Convert -3.75 to fractions
\(\\ \rm\rightarrowtail \dfrac{-375}{100}\)
\(\\ \rm\rightarrowtail \dfrac{-75}{20}\)
\(\\ \rm\rightarrowtail \dfrac{-15}{4}\)
\(\\ \rm\rightarrowtail -3\dfrac{3}{4}\)
Greater than sign should be usedGiven vectors a=(1,2)b=(2,1) ,find 3a-3b
nate has a grid made of shaded and unshaded 2 cm by 2 cm squares, as shown. he randomly places a circle with a diameter of 3 cm on the board so that the centre of the circle is at the meeting point of four squares. the probability that he places the disk so that it is touching an equal number of shaded and unshaded squares is ab. what is a b ?
The value of a and b is 1.
THE PROBABILITY OF A AND BThe probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is ab, where a and b are integers.
To find the value of a and b, we need to determine the total number of ways Nate can place the disk (the denominator of the probability fraction) and the number of ways he can place the disk so that it touches an equal number of shaded and unshaded squares (the numerator of the probability fraction).
Since the center of the circle must be at the meeting point of four squares, the only possible places for the center are the points where four squares meet. Since the grid is made of 2 cm x 2 cm squares, there are 4 shaded squares and 4 unshaded squares. So, there are 4 centers that could be placed on a shaded square and 4 centers that could be placed on an unshaded square.
So the denominator of the probability fraction is 8.
Now, to calculate the numerator, we need to determine the number of ways Nate can place the disk so that it touches an equal number of shaded and unshaded squares.
As the center of the circle is at the meeting point of four squares, the center of the circle is placed at the intersection of 2 shaded and 2 unshaded squares.
So, the numerator of the probability fraction is 8.
Therefore, the probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is 8 ÷ 8 =1.
So the value of a and b is 1.
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Amy regularly works 20 hours per week at Pook's Dry Cleaners from Monday through Friday. She earns $15.50 per hour and receives double-time pay for working Sundays. Next week she will work her regular 20 weekday hours, and an additional eight hours on Sunday. What will her total pay be for the week
Total amount she earn is $558
Multiply based problem:Given that;
Payment per hour on weekdays = $15.50
Payment per hour on Sunday = 2($15.50) = $31
Hour work on Sunday = 8 hour
Hour work on weekdays = 20 hour
Find:
Total amount she earn
Computation:
Total amount she earn = (20)(15.50) + (8)(31)
Total amount she earn = $310 + 248
Total amount she earn = $558
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what is the soulution to x+2 3/8 is greater than or equal to 8 1/2
According to the given inequality, The solution to x + 2 3/8 ≥ 8 1/2 is x ≥ 5 1/8 or 41/8.
To solve this inequality, we can start by subtracting 2 3/8 from both sides to isolate x:
x + 2 3/8 - 2 3/8 ≥ 8 1/2 - 2 3/8Simplifying the right side, we get:
x + 2 3/8 - 2 3/8 ≥ 6 1/8Combining like terms on the left side, we get:
x ≥ 3 5/8Converting the mixed number to an improper fraction:
x ≥ 29/8Finally, we can simplify by dividing both sides by 1/8:
x ≥ (29/8) ÷ (1/8) = 29
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Due to a power outage, the sales clerk manually prepares a sale receipt to her customer. Which one of the following diagrams represents this activity?
a. trapezoid to curvy side rectangle to curved rectangle
b. curved side rectangle to circle to curved rectangle
c. circle to curved side rectangle to curved rectangle
d. trapezoid to curved side rectangle to circle
Based on the given options, the diagram that best represents the activity of a sales clerk manually preparing a sale receipt during a power outage would be option D.
A trapezoid could represent the shape of a receipt, a curved side rectangle could represent the shape of the clerk's desk or the paper she is using, and a circle could represent the shape of a calculator or cash register. Therefore, a trapezoid to a curved side rectangle to a circle could represent the process of the clerk manually calculating and recording the sale amount and inputting it into a calculator or cash register to produce a receipt.
It is important to note that during a power outage, technology-dependent activities such as electronic sales and transactions may be disrupted, and manual methods may have to be used as a backup. This highlights the power of technology in our daily lives and the impact that power outages can have on businesses and individuals.
The question is about selecting the correct diagram that represents the sales clerk manually preparing a sale receipt due to a power outage. Given the options:
a. trapezoid to curvy side rectangle to curved rectangle
b. curved side rectangle to circle to curved rectangle
c. circle to curved side rectangle to curved rectangle
d. trapezoid to curved side rectangle to circle
The appropriate answer for this question cannot be determined based on the provided information. Diagrams typically require visual representation, and the description of the shapes alone is insufficient to convey the activity of preparing a receipt manually. Moreover, the terms "power," "outage," "clerk," "receipt," "trapezoid," "curved," and "curved" don't necessarily correspond to the shapes given in the options.
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look at the following pseudocode algorithm. algorithm test14(int x) if (x < 8) return (2 * x) else return (3 * test14(x - 8) 8) end test14 what is the base case for the algorithm?
The base case for the given pseudocode algorithm is 150. A base case is an initial and simplest case in an algorithm that does not necessitate further recursion.
It is the condition that aids in the determination of the smallest size of a problem that can be solved without recursion. A base case is a unique and basic condition that is considered to be true in a specific algorithm. A recursive algorithm cannot be used if there is no base case.
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find the LCM (Least Common Factor) of each set of numbers. Use ladder diagram.
1. 28,40
2. 180,345
Answer:
1. 280
2. 4140
Step-by-step explanation:
which north african country has most of its population in only 3% of its land area?
Answer:
The largest country in land area is Algeria at 2,381,740 km2.
Explanation:
This is one country, with 41,657,488 people
on Monday a restaurant made $545 from selling 110 hamburgers if they sold 53 Hamburgers on Tuesday how much did they make
Answer:
$262.59
Step-by-step explanation:
545 / 110 = 4.95454545455
4.95454545455 x 53 = 262.590909091
Rounded = $262.59
Qd=95−4P
Qs=5+P
a. What is Qd if P=5 ? b. What is P if Qs=20 ? β=9 c. If Qd=Qs, solve for P.
P = 90 is the solution for the given equation.
Given: Qd=95−4
PQs=5+P
To find Qd if P=5:
Put P = 5 in the equation
Qd=95−4P
Qd = 95 - 4 x 5
Qd = 75
So, Qd = 75.
To find P if Qs = 20:
Put Qs = 20 in the equation
Qs = 5 + PP
= Qs - 5P
= 20 - 5P
= 15
So, P = 15.
To solve Qd=Qs, substitute Qd and Qs with their respective values.
Qd = Qs
95 - 4P = 5 + P
Subtract P from both sides.
95 - 4P - P = 5
Add 4P to both sides.
95 - P = 5
Subtract 95 from both sides.
- P = - 90
Divide both sides by - 1.
P = 90
Thus, P = 90 is the solution for the given equation.
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Find the domain in interval notation.
Answer:
x ∈ ( - ∞ , - 8 ) ∪ ( - 8 , 0 ) ∪ ( 0 , 8 ) ∪ ( 8 , ∞ )
Step-by-step explanation:
x³ - 64x = x( x² - 64 ) ≠ 0 ⇒ x ≠ 0 and x ≠ ± 8
x ∈ ( - ∞ , - 8 ) ∪ ( - 8 , 0 ) ∪ ( 0 , 8 ) ∪ ( 8 , ∞ )
I NEED ANSWERS FAST PLEASE
Point Alies on Quadrant IV. If it is rotated 180° about the origin which quadrant will the image A' lie on.
A . Quadrant III
B . Quadrant 11
C . Quadrant l
D . Quadrant IV
Answer:
c. Quadrant 1
Step-by-step explanation:
I did this in class like yesterday
Answer:
Quadrant I: Both x and y-coordinate are positive. Quadrant II: x-coordinate is negative and y-coordinate is positive. Quadrant III: Both x and y-coordinate are negative. Quadrant IV: x-coordinate is positive and y-coordinate is negative.
Step-by-step explanation:
Help!!!!!!!!! Quick!!!!!
Answer:
<A obtuse
<B acute
<C obtuse
<D right
Step-by-step explanation:
Manders Manufacturing Corporation uses the following model to determine an optimal product mix for its two products, metal (M) and scrap metal (S):
Max Z = $30M + $70S
Where: 3M + 2S ≤ 15
2M + 4S ≤ 18
The above mathematical functions together constitute a(n):
a. Simulation model.
b. Linear programming model.
c. Economic order quantity model.
d. Multivariate regression model.
e. Nonlinear optimization model.
b. Linear programming model is the correct option.
How can Manders Manufacturing Corporation determine an optimal product mix for metal and scrap metal using a mathematical model?A linear programming model is a mathematical technique used to find the best outcome in a given set of constraints. In this case, Manders Manufacturing Corporation is trying to determine the optimal product mix for its two products, metal (M) and scrap metal (S), based on certain constraints. The objective is to maximize the profit, represented by the function Z = $30M + $70S.
The constraints are represented by the inequalities:
3M + 2S ≤ 15
2M + 4S ≤ 18
These constraints define the limitations on the production of metal and scrap metal. The model aims to find values of M and S that satisfy these constraints while maximizing the objective function.
Using linear programming techniques, the corporation can solve this model to find the optimal values for M and S that will maximize their profit. This approach allows them to make data-driven decisions and allocate their resources efficiently. By formulating the problem as a linear programming model, Manders Manufacturing Corporation can make informed choices about the optimal product mix to achieve their business objectives.
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Objects that are juxtaposed are: A. in a circle. B. near each other. C. far from each other. D. in a triangle.
Juxtaposition refers to the act of placing two or more objects or elements close to each other for the purpose of comparison, contrast, or creating a specific effect. Objects that are juxtaposed are "near each other." (Option B)
It suggests that the objects are positioned in close proximity or are adjacent to one another. Option A, "in a circle," does not accurately describe juxtaposition as it refers to objects arranged in a circular shape, rather than their proximity to each other. Option C, "far from each other," is the opposite of juxtaposition as it implies a significant distance between the objects. Option D, "in a triangle," refers to objects arranged in a triangular shape and does not capture the concept of proximity.
Therefore, the correct answer is Option B, "near each other," which accurately reflects the idea of objects being juxtaposed. Juxtaposition can occur in various contexts, such as in art, literature, design, or everyday situations where objects are deliberately placed in close proximity to create a visual or conceptual impact.
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Write the measurement indicated using the picture
Answer:
8 centimeters
Explanation:
We know that the ruler indicates it's from 76 - 92. In order to find out the measurement indicated you just need to know where the arrow ends and begins. Once you do you subtract the difference. Therefore, 92 - 84 is equal to 8.
please someone help me..
What are the 3 shortcuts to prove triangles are similar?
In order to prove the triangles are similar, you have to use SAS, SSS and AA rule.
In triangle, the similarity theorem states that if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Here we have to find the 3 shortcuts to prove the triangles are similar.
According to the similarity theorem, here we have triangle that is similar to other if two pairs of angles are congruent (AA) or if two pairs of sides are proportional and the included angles are congruent whereas if three pairs of sides are proportional (SSS).
Here we must know that the term similarity and congruent are similar terms.
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