Step-by-step explanation:
hope it helps you
here is ur answer
PLEASE HELP ME ASAP!!!!
Explain the product of powers rule in your own words
Answer:
When you are multiplying like terms with exponents, use the product of powers rule as a shortcut to finding the answer. It states that when you are multiplying two terms that have the same base, just add their exponents to find your answer.
Step-by-step explanation:
Please answer this question - Semester about to end :'). Ty
The number of triangles is (a) 1 triangle
How to determine the number of trianglesFrom the question, we have the following parameters that can be used in our computation:
m/A = 51°, a = 22,b = 27
There is only one triangle that can be created using the given parameters
This is so because the given information provides the angle measure of one angle of the triangle and the lengths of the two sides adjacent to that angle.
These three pieces of information (angle measure and two side lengths) are enough to determine the unique triangle.
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Tessa did 3/5 of her homework problems on Saturday. On Sunday she did 1/3 of what was left plus the last 4 problems. How many problems did Tessa do over the weekend.
The total problems assigned over the weekend are 15.
What are fractions?In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, while the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.
Let us suppose the total number of problems assigned = x.
Given that the problems solved on Saturday is 3/5 of her total questions. This is represented as:
(3/5) x
The remaining problems are:
1 - (3/5) x = (2/5) x
On, Sunday the problems solved are 1/3 of the remaining. This is represented as:
(1/3) (2/5) x
(2/15) x
The remaining problems are:
(1 - 1/3)(2/5 x) = (2/3) * (2/5) x = 4/15 x
Given that the final number of problems remaining are 4, that is:
(4/15) x = 4
x = 4 (15/4)
x = 15
Hence, the total problems assigned over the weekend are 15.
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determine if the statement is possible(p) or impossible(i).
A triangle with the angles: 53°, 118° and 9º.
Answer: Yes, it's possible
Step-by-step explanation:
53+118+9=180
Write an equation of the line in slope-intercept form.
y=
Answer:
y = x - 2
Step-by-step explanation:
points: (3, 1) and (0, -2)
slope = m = (-2 - 1)/(0 - 3) = 1
y-intercept = b = -2
y = x - 2
How are zeros, the vertex, and symmetry of a quadratic function interpreted in a context?
Answer:
The zeroes of a quadratic equation are the points on the graph where it lies on the x-axis.
The vertex is the point where it is the maximum or minimum value of x or y depending on the symmetry.
The symmetry is the line where it cuts the graph through the vertex of the graph dividing it into two equal parts that mirror each other.
The quadratic formula, factoring, and completing the square are the methods used to solve a quadratic equation.
f(x) + 7 shifts the graph 7 units up, f(x +7) shifts the graph 7 units to the left
Step-by-step explanation:
The angles that share the same sine value as sin(45°) have terminal sides in quadrant .
The angles that share the same sine value as sin(45°) have terminal sides in second quadrant .
The sine function relates the ratio of the length of the side opposite an acute angle to the length of the hypotenuse of a right triangle. The sine of an angle is always between -1 and 1.
The sine of 45 degrees is √2/2, which is a positive value. Since the sine of an angle is positive in the first and second quadrants, the angles that share the same sine value as sin(45°) must have their terminal sides in the first or second quadrant.
To find the angles that have the same sine value as 45 degrees, we can use the inverse sine function, also known as the arcsine function. The arcsine of √2/2 is 45 degrees or π/4 radians, which is an angle in the first quadrant.
However, since the sine function is periodic, there are infinitely many angles with the same sine value as 45 degrees, and they are all separated by integer multiples of 360 degrees or 2π radians.
Therefore, the angles that share the same sine value as sin(45°) have terminal sides in second quadrant, and can be represented by the formula:
θ = n(360°) ± 45°
or
θ = n(2π) ± π/4
where n is an integer.
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Answer: ( ll ) edgen
Step-by-step explanation:
Create an ordered, rooted tree that represents the infix form of the following equation. Then write out the prefix form of the equation. (20 pts.)((X*Y) + (Y * ((X+5) * (Y+7))))/3
The ordered, rooted tree representing the infix form of the equation (20 pts.)((X*Y) + (Y * ((X+5) * (Y+7))))/3 is illustrated below. The prefix form of the equation is (/ (+ (* (pts. 20) (* X Y)) (* Y (* (+ X 5) (+ Y 7)))) 3).
To create the ordered, rooted tree for the infix form of the equation, we start by breaking down the equation into its individual components and operators. The tree is built by considering the hierarchy of operations and associativity rules.
The infix equation can be divided into different levels based on parentheses and operators. The tree structure represents the hierarchical relationship between these levels. Here is the tree representation of the infix equation:
/
/ \
+ 3
/ \
* *
/ \ / \
pts. 20 * *
/ \ / \
X Y +
/ \
X 5
/ \
Y 7
To obtain the prefix form of the equation, we traverse the tree in a prefix (pre-order) manner. Starting from the root node, we visit the current node, followed by its left subtree, and then its right subtree. This gives us the following prefix form:
(/ (+ (* (pts. 20) (* X Y)) (* Y (* (+ X 5) (+ Y 7)))) 3)
In the prefix notation, the operators appear before their operands, which allows for easy parsing and evaluation of the expression.
Therefore, the prefix form of the given equation is (/ (+ (* (pts. 20) (* X Y)) (* Y (* (+ X 5) (+ Y 7)))) 3).
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In a sale, normal prices are rediced by 10% Nathalie bought a pair of shoes in a sale for 54
Answer:
they take 5 dollars and 40 cents off of it so it would be $48.60
Find (a) the range and (b) the standard deviation of the data set 141,116,117,135,126,121. round to the nearest hundredth if necessary.
a) The range of the given data set is 25.
b) The standard deviation of the given data set is 10.1.
The given data set is 141, 116, 117, 135, 126, 121.
a) The range is the difference between the highest and lowest values within a set of numbers.
Range = Highest value - Lowest value
= 141-116
= 25
So, the range is 25.
b) Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.
\(s=\sqrt{\frac{(x_i-\bar x)^2}{n-1} }\)
Here, mean (\(\bar x\)) = \(\frac{141+116+117+135+126+121}{6}\)
= 126
\(s=\sqrt{\frac{(141-126)^2+(116-126)^2+(117-126)^2+(135-126)^2+(126-126)^2+(121-126)^2}{6-1}}\)
\(s=\sqrt{\frac{(15^2+(-10)^2+(-9)^2+(9)^2+(0)^2+(-5)^2}{5}}\)
\(s=\sqrt{\frac{(225+100+81+81+25)}{5}}\)
\(s=\sqrt{\frac{512}{5}}\)
s=10.1
So, the standard deviation is 10.1.
Therefore,
a) The range of the given data set is 25.
b) The standard deviation of the given data set is 10.1.
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A car moves at a constant speed of 50 miles per hour how long does it take the car to travel 200 miles
Answer:
the time taken is 4 hours
Step-by-step explanation:
The computation of the time is shown below:
As we know that
Speed = Distance ÷ Time
50 miles per hour = 200 miles ÷ Time
So the time would be
= 200 ÷ 50
= 4 hours
Hence, the time taken is 4 hours
Tyler returned from the store with $12.47 He spent $76.53 on groceries. How much did he begin with?
Answer:
89 dollars
Step-by-step explanation:
47 and 53 cents make one dollar together. 12 dollars and 76 dollars make 88 dollars. 1+88=89
Answer:
$89
Step-by-step explanation:
Money that Tyler returned with = $12.47
Money spent on groceries = $76.53
And to find the total money he had at the beginning , add the left amount with the amount he spent . Hence here ,
\(\sf\longrightarrow Money_{total}= \$12.47+\$76.53\\\)
\(\sf\longrightarrow \underline{\boxed{\bf Money_{total}= \$\ 89 }}\)
Hence he had $89 at the beginning .
I hope this helps .
im on a test pleaseee help
find the solution to following system of linear equations using the substitution method:
\(y=-3x+5\\5x-4y=-3\)
Let y=f(x) be the particular solution to the differential equation dy/dx=(2x−1)/y^2 with the initial condition y(0)=3. Which of the following is an expression for f(x) ?
Answer:
y= (3x^2-3x+27)^1/3
Step-by-step explanation:
Un estudiante de álgebra ha ganado $100,000 en una lotería y desea depositarlos en cuentas de ahorros en dos instituciones financieras. Una cuenta paga 8%de interés simple pero los depósitos se aseguran sólo a $50,000. La segunda cuenta paga 6.4% de interés simple y los depósitos se aseguran hasta $100,000 determine si el dinero se puede depositar para que quede completamente asegurado y gane un interés anual de $7,500
Answer:
Si puede asegurarse, ya que la inversión en la cuenta bancaria que da un 8% anual, es menor a 100 000 y mayor que 500 000.
Step-by-step explanation:
Ci= 100 000 $
Cuenta #1 = 8% de interés simple. con depósitos de 50 000$.
La segunda para 6.4% con interés simple para depósitos de 100 000$
Determine si el dinero se puede depositar para que fenere un interés de 7500
7500 = C1(0.08)+C2(0.064)
C1+C2= 100 000
C2 = 100 000 -C1
7500 = C1(0.08)+(100 000 - C1)(0.064)
1100= 0.016 C1
C1= 68750$.
what is the set of all solutions to the equation 2 = − x 2 =−xsquare root of, x, plus, 2, end square root, equals, minus, x ?
The equation 2 = -x√(x + 2) - x has two potential solutions: x = -1 and x = -8. However, x = -8 does not satisfy the equation, so the set of all solutions is {x = -1}.
To find the set of solutions to the equation 2 = -x√(x + 2) - x, we can solve it algebraically.
Starting with the given equation, we can simplify it step by step:
2 = -x√(x + 2) - x
Adding x to both sides:
2 + x = -x√(x + 2)
Squaring both sides to eliminate the square root:
(2 + x)^2 = (-x√(x + 2))^2
Expanding and simplifying:
4 + 4x + x^2 = x^2(x + 2)
Simplifying further:
4 + 4x = x^3 + 2x^2
Rearranging terms:
x^3 + 2x^2 - 4x - 4 = 0
Factoring the equation:
(x + 1)(x^2 + x - 4) = 0
Setting each factor to zero:
x + 1 = 0 or x^2 + x - 4 = 0
Solving the first equation, we find x = -1.
For the second equation, we can use the quadratic formula:
x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1))
x = (-1 ± √(1 + 16)) / 2
x = (-1 ± √17) / 2
However, when we substitute x = (-1 + √17) / 2 into the original equation, it does not satisfy the equation. Therefore, x = -8 is not a solution.
Hence, the set of all solutions to the equation is {x = -1}.
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help me out i will give brainliest i’m in school help
Answer:
C: (4, -12)
Step-by-step explanation:
graph starts at 48 and keeps going down by 4 making the x intercept stop at 4. y intercept goes down by 4 but stops on the negative side of 12. so (4,-12)
A survey of the first 10 of the 2,000,000 people to vote in an
election shows that 6 vote for the incumbent and 4 for the
challenger. Based on the sample, about how many of the
2,000,000 voters vote for the incumbent?
Based on the given sample, the number of voters vote for the incumbent are 1,200,000.
Based on the sample, it can be estimated that approximately 1,200,000 of the 2,000,000 voters will vote for the incumbent.
This can be calculated by taking the sample size of 10 and multiplying it by the proportion of votes that the incumbent received (6/10).
This gives a result of 6/10 x 2,000,000 = 1,200,000.
However, it is important to note that this is just an estimate and the actual number of votes for the incumbent could be higher or lower than 1,200,000.
Therefore, based on the given sample, the number of voters vote for the incumbent are 1,200,000.
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A middle school held a Career Exploration Day where students could choose to hear an adult talk about his or her career. Out of the 39 middle-school students, 13 went to hear the designer speak.
What is the probability that a randomly selected student went to hear the designer?
Write your answer as a fraction or whole number.
Answer:
1/3
Step-by-step explanation:
39 divided by 13 comes out to 3, meaning that 1 out of 3 students chose to hear the designer speak.
Help help please please help help I need help 30 POINTS
math 1 work it out please -3r + 10 = 15r-8
Answer:
r= 1
Step-by-step explanation:
There ya go Plz give me brainiest if it helped!!!
Answer:
r = 1
Step-by-step explanation:
-3r + 10 = 15r - 8
Add 8 to both sides.
-3r + 18 = 15r
Add 3r to both sides.
18 = 18r
Divide both sides by 18.
r = 1
If t = 10m + 40 models this scenario,
t = total cost;
m = number of months;
Which of the following statements is true?
O A. The total cost will increase by $40 for every 10 months that pass.
B. The total cost will increase by $10 for every 40 months that pass.
C. The total cost will increase by $10 for every month that passes.
D. The total cost will increase by $40 for every month that passes.
It rained a total of 10 inches in a week. the first day it rained 6 inches, then it rained 2/3 every day after that. how many more days did it rain for?
Solving the given fraction, we get that It will rain for 1 day more, that means a total of 2 days.
According to the question, first day it rained 6 inches. Then it rained 2/3 every day after that. Solving the fractions, we get that second day it will rain,
(6 × 2/3) = 4 inches as it rained 2/3 every day after that .
So, it rained a total of, 6 + 4 inches = 10 inches in a week.
We have been given that it rained a total of 10 inches in a week. While solving the fraction, we found that it rained for 10 inches in just days, 6 inches in a day and 4 inches the other day. This tells us that it will not rain for the remaining 5 ( 7 - 2 ) days.
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please help what is #4?
To Prove:-
JK=IJ
JK= ½IK = IJ= ½IK
JK= IJ(Equal Distance)
GK//HI (Parallel)
Therefore, JK congruent IJ
Hope This Helps
12
Find the lowest common multiple (LCM) of 28, 42 and 63
Show your working clearly.
Answer:
Least Common Multiple (LCM) of 28,42,63 is 252 ∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 1 x 3 = 252
Step-by-step explanation:
Answer:
252 is the answer
Step-by-step explanation:
find the multiples of all of them ( and make sure it is the least. )
28:
28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308
42:
42, 84, 126, 168, 210, 252, 294, 336
63:
63, 126, 189, 252, 315, 378
bolded + undurlined is the answer
you see that 252 is the answer
252 is the answer
In 2008 a newspaper sold 120 thousand papers, and had 60 thousands people reading online. Their online readership has been increasing by 8 thousand people each year, while their physical paper sales have decreased by 6 thousand papers a year. In what year does online readership exceed physical sales?
Answer:
t = 5 years
online readership will exceed physical sales in 5 years
Step-by-step explanation:
The number of physical readership can be represented by the equation;
P(t) = 120 - 6t
The number of Online readership can be represented by the equation;
K(t) = 60 + 8t
For online readership to exceed physical sales
K(t) > P(t)
60 + 8t > 120 - 6t
Collecting the like terms;
8t+6t > 120-60
14t>60
t > 60/14
t > 4.29
To the nearest year greater than 4.29.
t = 5 years
online readership will exceed physical sales in 5 years
"One subtracted
from the
product of 4 and
a number is Il”
The number will be 3.
How to calculate the value?Let the number be represented by x.
Therefore based on the information, the equation will be:
(x × 4) - 1 = 1
4x - 1 = 11
Collect like terms
4x = 11 + 1
4x = 12
Divide
x = 12/4
x = 3
The number is 3.
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what is the range of Dan’s car? It’s highway EPA rating is 40mpg and the tank holds 12 gallons
The range at which Dan's car can go is 3.33 miles
What is range of a car?A car's range is the distance it can travel with the current amount of fuel in the tank.
The vehicle calculates the range based on the amount of fuel, how the accelerator and brakes are used, and how quickly the car is travelling.
The range of a car can be measured in the unit of distance.
Therefore the range of a car can be calculated as;
R = distance per gallon/ number of gallon.
Dan's car is 40mpg and has 12 gallons in it's tank.
Therefore it's range = 40/12
= 3.33miles.
therefore the range of Dan's car is 3.33miles
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If an inscribed angle measures 67°, how would you find the intercepted arc?
Multiply the angle measure by two.
Set the angle and arc measures equal.
Divide the angle measure by two.
Answer:
Multiply the angle measure by two.
Step-by-step explanation:
Answer:
you would multiple the angle and measure by two
What is the value of the expression below when x = 4
2x² + x – 5