5 raised to the fourth power (written as 5^4) is equal to 5 multiplied by itself 4 times. Mathematically, it can be written as:
5^4 = 5 * 5 * 5 * 5 = 625
So, the value of 5 to the fourth power is 625.
I hope this helps :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{5^4}[/tex]
[tex]\mathsf{= 5 \times 5 \times 5 \times 5}[/tex]
[tex]\mathsf{= 25 \times 25}[/tex]
[tex]\mathsf{= 625}[/tex]
[tex]\huge\text{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\mathsf{625}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Some students collected the data below. They will graph the data. What is the y-intercept? Your answer should be an ordered pair ( , )
The ordered pair of coordinates is (0, 28)
How to find the Ordered pair ?To answer to the question given, we have to find the point on the line that goes through the points given in the table when the x-axis represents the month of the year and the y-axis represents the average temperature for that month.
We can read out this ordered pair from the attached graph
In conclusion, the graph displays the point on that line which is on the y-axis is (0, 28).
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Check all that apply. – is the reference angle for:
3
MA. T
3
B.
] c.
☐ D.
15:
3
2;}
3
19:1
3
Answer:
A, C, D
Step-by-step explanation:
You want the angles in the list that have π/3 as the reference angle.
Reference angleThe reference angle is the smallest angle between the angle's terminal side and the x-axis. The cosine and sine of the reference angle have the same magnitude of the cosine and sine of the angle in question.
The attached table shows that 7π/3, 2π/3, and 19π/3 have the same reference angle: π/3.
Solve for <4. Please help!
Answer:
The answer is 32
Step-by-step explanation:
We solve this by first finding the angle 3. To do this we subtract 180 (the sum of a triangle) and the two known angles. 180-15-17 = 148.
So now we know that the 3rd angle is equal to 148. Now to find the angle 4 we subtract angle 3 from 180, because a straight line is equal to to 180 degrees; 180-148=32
Hope that helps
PLEASE HELP! URGENT!!! ):
Find the greatest common factor of these two expressions.
18w^6u^8 and 30w^2u^5y^7
Answer:
18w^6u^8 = 2 * 3 * 3 * w^6 * u^8
30w^2u^5y^7 = 2 * 3 * 5 * w^2 * u^5 * y^7
The greatest common factor of these two expressions is 2 * 3 * w^2 * u^5
So the greatest common factor of 18w^6u^8 and 30w^2u^5y^7 is
2 * 3 * w^2 * u^5
PLEAE HELPP WILL MARK BRAINLIEST
Given that my=34°, find the value of the angle b
A 146°
B 56°
C 34°
D 124°
E 68°
Considering the figure the value of angle b is
D 124°How to solve for angle bAccording to the vertical angle theorem, the opposing angles of two crossing lines must have the same value, or be congruent.
hence angle a = angle y
Then from exterior angle of a triangle theorem: If a triangle's side is created, the outside angle that results is equal to the sum of the two opposite internal angles.
angle b = angle a + 90
= 34 + 90
= 124 degrees
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Marc just bought an SUV for 52,000. This is 7,600 less than twice what his wife paid for her car last year. How much did his wife pay (in dollars) for her car
Answer:
Let's call the amount his wife paid for her car "x". We know that:
Marc's car = $52,000
Marc's car = 2x - $7,600
We can substitute the first equation into the second equation
52,000= 2x-7600
52,000+7600=2x
59,600=2x
x=29,800
His wife paid $29,800 for her car.
Answer:
$29,800.00
Step-by-step explanation:
52000 = 2x - 7600 Add 7600 to both sides
52000 + 7600 = 2x
59600 = 2x Divide both sides by 2
29800 = x
Harry drew the number line below to solve a word problem he drew8 numbers and 36
where’s the answer choices??? the picture?? did you finish the question??
Answer:
Step-by-step explanation:
help me, it’s emergentttt
Answer:
Step-by-step explanation:
82
Write 3 6/7as an improper fraction
Answer:
27/7
Step-by-step explanation:
First, note that 3 6/7 is a mixed number, also know as mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follow:
3 = whole number
6 = numerator
7 = denominator
To convert mixed number 3 6/7 to improper fraction, you follow these steps:
Multiply the whole number by the denominator
3 × 7 = 21
Add the product from Step 1 to the numerator
21 + 6 = 27
Write answer from Step 2 over the denominator
27/7
The mixed number 3 6/7 converted to improper fraction is therefore :
27/7
Answer:
27/7
Step-by-step explanation:
3/4 divided by 1/2 - using unit rate proportionality
To divide 3/4 by 1/2 using unit rate proportionality, we can set up a proportion with 3/4 as the numerator and 1/2 as the denominator, and then cross-multiply and solve for the unknown value.
3/4 / 1/2 = X
To solve for X, we can cross-multiply to get:
(3/4) * (2/1) = X * (1/2)
Which simplifies to:
3/2 = X
So 3/4 divided by 1/2 is equal to 3/2.
It's important to note that when dividing fractions, we can also simply invert the divisor and multiply the two fractions, 3/4 * 2/1 = 6/4 =3/2.
Tonyas car is not working properly. There is a 70% chance
0.9976 percent of the time, the automobile won't start immediately away.
What is normal distribution?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range, while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.
Given that,
X = number of morning car starts right away
X 0 1 2 3 4 5
p(x) 0.0024 0.0283 0.1323 0.3087 0.3601 0.1681
So now we are able to find the given probability
p(x ≥ 1) = 1 - p(0)
1 - 0.024 = 0.9976
Here we used complementary rule to find the answer
p(A') = 1 - p(A)
Therefore, the probability that the car does not start right away is 0.9976.
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Match the system of linear equations on the left with its solution type on the right
1. Y=2x-1
Y=2x+1
2. Y-4x=-2
Solution for the given System of linear equation is:
Infinite number of solution(2, -3)(-2, 4)Infinite number of solutionWhat are System of equation?Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.
Given, the system of linear equations on the left with its solution type on the right
For Y=2x-1 and Y=2x+1
Adding both equation, we will get y = 4x
Thus, these equations have infinite number of solution
For 2x - y = 7 and 3x + y = 3
Adding these equations
5x = 10
x= 2
Substitute the value in equation 1
y = -3
Thus, solution is (2, - 3)
therefore, the Solution for the given System of linear equation is:
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Complete question:
Solving by Factoring
Please explain in detail the strategy, Solving by Factoring, discussed in the lesson Quadratic in Form Polynomials. Include an example with this explanation to clearly explain the process. (If you need to refer back to the lesson it is in the Instruction Video on slide 6.)
Answer:
Solving by Factoring is a strategy used to solve quadratic equations. This strategy involves factoring the quadratic equation. Factoring is breaking an expression down into smaller expressions that when multiplied together will equal the original expression.
Step-by-step explanation:
To solve a quadratic equation by factoring we must first get the equation into the form ax^2 + bx + c = 0. From here we must use a strategy of factoring known as Reverse FOIL. By using reverse FOIL we will break the equation down into smaller parts. The four steps to use in reverse FOIL are:
1. Find two factors of “ac” (the coefficient of x^2) that when added together equal “b” (the coefficient of x).
2. Multiply the two factors you found in step one to produce “ac.”
3. Group the two terms with the “ac” terms in the equation.
4. Factor the two terms with “bx” in them.
For example, if we have an equation such as 9x^2 + 15x + 4 = 0 we would look for two factors of 4 (ac) that when added together equal 15 (b). The two factors of 4 that when added together equal 15 are -1 and -4. Therefore our equation would become: (9x^2 -1x -4x +4) and we can group the terms like this: (9x^2 -1x)(-4x +4).
The fourth step is to factor the two terms with “bx” in them. In our equation, the two terms with “bx” in them are -1x and -4x. Factoring these terms give us: (9x^2 -1x)(-4x +4) = (3x -1)(3x -4).
The final step is to find the two solutions, or the “x” values, that make the equation equal zero. To find these two x values, just set each factor to zero, and solve the resulting equations. In this example, setting the first factor, (3x - 1) equal to zero, we get x = (1/3); setting the second factor, (3x - 4) equal to zero, we get x = (4/3).
Therefore, the two solutions to 9x^2 + 15x + 4 = 0 are x = (1/3) and x = (4/3).
Using the strategy of Factoring, we have been able to successfully solve the equation 9x^2 + 15x + 4 = 0.
What is the difference between the Commutative Property and Associative Property of addition?
Answer:
The commutative property of addition states that the order of the numbers being added does not affect the result of the addition. For example, "a + b = b + a" is the commutative property of addition.The associative property of addition states that when three or more numbers are being added, the grouping of the numbers being added does not affect the result. For example, "(a + b) + c = a + (b + c)" is the associative property of addition.In simple terms, the commutative property of addition allows for numbers to be added in any order and still get the same result, while the associative property of addition allows for numbers to be grouped in any way and still get the same result.Hope this helps! Enjoy Learning!:D
Sonya bought 2 movie tickets for $17.00 Ralph bought 5 movie tickets for $42.50. based on this information which equation can be used to determine the total cost c, for a certain number of movie tickets, F
The equation that can be used to determine the total cost, given the number of movie tickets, is c = 8. 50 c
How to find the equation ?The equation that shows the total cost when you buy a certain number of tickets, can only be found after you solve for the ticket price.
The ticket price is :
= Cost of tickets / Number of tickets
= 42. 50 / 8
= $ 8. 50
The equation for the total cost would therefore be:
Total cost = Number of tickets x Cost per ticket
c = f x 8. 50
c = 8. 50 f
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PLEASE HELP I NEED HELP!!!!!!!!!!!!!
Answer:
D. 5
Step-by-step explanation:
You want the constant of proportionality in the relation shown by the graph.
Constant of proportionalityA proportional relation has the equation ...
y = kx . . . . . . . . where k is the constant of proportionality
When x=1, this becomes ...
y = k
The value of y when x=1 is marked on the graph: y = 5 at that point, so ...
k = 5
The value of the constant of proportionality is 5.
What is the exact value of x?
5.84376
The exact value of x depends on the context of the problem. Without any additional information, it is impossible to answer this question.
What is 5 x 7/3 in fraction form
Answer: [tex]10 \frac{2}{3}[/tex]
Step-by-step explanation:
[tex]5 \times \frac{7}{3}=\frac{5 \times 7}{3}=\frac{35}{3}=10 \frac{2}{3}[/tex]
Your business requests a 3-month loan for
$550,000. What will be the interest paid at the
end of the term if the business risk percentage is
assessed at 2.0% and LIBOR is at 2.8%?
inferest paid = $[?]
The total interest paid for the period of three months will be $600 on the loan amount of $550000.
What is interest?The interest is the charges levied on the amount which we borrow from any bank for a particular period of time.
Here in the question given data is
P= $550000
R=2.0%+2.8%=4.8%
T=1/4 years or three months
So from the simple interest formula
SI = PRT / 100
= 550000 x 4.8 x 1/4 / 100
= 6600
Hence, the total interest paid for the period of three months will be $600 on the loan amount of $550000.
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steps to solve 5x+2y=9 when x+y=-3
The simultaneous equation 5x + 2y = 9 and x + y = -3 is solved by elimination method as follows
How to solve the simultaneous equationThere are various methods of solving simultaneous equation however for this problem we solve with elimination method
The equation is 5x + 2y = 9 and x + y = -3
multiply x + y = -3 by 2
2x + 2y = -6
subtract 2x + 2y = - 6 from 5x + 2y = 9
5x + 2y = 9
2x + 2y = - 6
this will result to 3x = -15
solve for x by dividing by 3
x = -5
substitute x = -5 to x + y = -3
-5 + y = -3
y = -3 + 5
y = 2
hence x = -5 and y = 2
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Laurie won 287 races during seven years while she ran track. She won the same number of races each year.
How many did she win each year?
A. 2,009 races
B. 280 races
C. 72 races
D. 41 races
Answer:
D. 41 races
Step-by-step explanation:
We can use the equation:
Number of races per year = Total number of races / Number of years
In this case, the total number of races is 287 and the number of years is 7.
Plugging in the values:
Number of races per year = 287 / 7
Number of races per year = 41
So, Laurie won 41 races each year. The answer is D) 41 races
11/14 + 9/14 + 4/14=
Answer: 24/14 or 1 10/14
Step-by-step explanation:
11/14 + 9/14 = 20/14
Add the 11 and nine first.
Then add 20/14 + 4/14 and that = 24/14 or you can turn it into a mixed fraction of 1 10/14.
You're Welcome!
Dwight drives 85 km at an average speed of 120 km/h and then 6 km at 90 km/h without stopping. What is the average speed for the whole journey to 1 dp?
The average speed for the whole journey will be 62.33 km per hour.
How to calculate the speed?Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.
Since Dwight drives 85 km at an average speed of 120 km/h and then 6 km at 90 km/h without stopping.
The average speed for the whole journey will be:
= (85 + 6) / (85 / 120) + (90 / 120)
= 91 / (0.71 + 0.75)
= 62.33 km per hour.
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find the average of the numbers 11, 20, 13, and 16
The average of the numbers 11, 20, 13, and 16 is 15
Why is average called mean?The average may be calculated by dividing the total number of values by the sum of all the numbers. An average of the values in a sample of data may be used to determine a mean. In other words, the arithmetic mean is another name for an average. A mean is a term used to describe the average.
Why do we calculate the average?Finding an average helps us understand a general pattern of behavior or trend. For example, knowing Mrs. Mansell's average shopping expenditure helps us understand whether she typically spends a lot or little money, and knowing Keiran's average spelling score helps us understand how proficient he typically is.
In the above question:-
The average of the numbers 11, 20, 13, and 16 is
15
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What is the Y intercept of this line?
Luke can dig a hole in four days and his friend Steve can dig it in five days how long will it take them to dig the hole together
Answer:
2 [tex]\frac{2}{9}[/tex] days
Step-by-step explanation:
Let d = the number of days.
[tex]\frac{1}{4}[/tex] d = [tex]\frac{1}{5}[/tex]d = 1
[tex]\frac{5}{20}[/tex] d + [tex]\frac{4}{20}[/tex] d = 1
[tex]\frac{9}{20}[/tex] d = 1 Multiply both sides by [tex]\frac{20}{9}[/tex]
([tex]\frac{20}{9}[/tex])([tex]\frac{9}{20}[/tex]) d = 1([tex]\frac{20}{9}[/tex])
d = [tex]\frac{20}{9}[/tex] I can break 20 into 9 + 9 + 2
d = [tex]\frac{9}{9}[/tex] + [tex]\frac{9}{9}[/tex] + [tex]\frac{2}{9}[/tex] [tex]\frac{9}{9}[/tex] = 1
d = 1 + 1 + [tex]\frac{2}{9}[/tex]
d = 2 [tex]\frac{2}{9}[/tex]
If job growth in your state is projected to be 7 percent and you have 16,000,000 workers, how many new jobs would be created?
If job growth in your state is projected to be 7 percent and you have 16,000,000 workers, how many new jobs would be created?
Answer:
Step-by-step explanation:
The number of new jobs that would be created would be 1,120,000. This is calculated by multiplying the number of workers (16,000,000) by the projected job growth rate (7%) which equals 1,120,000.
Find the length of the midsegment of each trapezoid.
Answer:
D
Step-by-step explanation:
the midsegment of a trapezoid is half the sum of the parallel sides, that is
midsegment = [tex]\frac{WT+VU}{2}[/tex] = [tex]\frac{17.5+6.1}{2}[/tex] = [tex]\frac{23.6}{2}[/tex] = 11.8
PLEASE ANSWER ASAP !!
You buy shirts and pairs of pants for . Your friend buys shirt and pairs of pants for . What is the cost of each shirt? What is the cost of each pair of pants? use elimination to solve .
The cost of both the shirt and pants each is $10, solved using elimination method.
How to solve cost?Let s stand for shirt and p for trousers.
Then we may solve the following equations:
1st Equation:
2s + 3p = 50
2nd Equation:
3s +1p = 40
Our initial aim is to determine the cost of one shirt. To get rid of the pants, we might artificially multiply the second equation by -3. This is what it would look like:
2s + 3p = 50
-3(3s +1p) = -3(40) (40)
———————————————
2s + 3p = 50
-9s - 3p = -120 We can obviously remove the pants (p) now.
—————————————
-7s = -70
Divide both sides by -7 to isolate s, and we get:
s = 10 -> As a result, one shirt costs $10.
Pants = 2(10) + 3p = 50
p = $10
Let us calculate the cost of 5 shirts.
As a result, we will perform 5 x $10 = $50.
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Complete question:
You buy 2 shirts and 3 pairs of pants for $50. Your friend buys 3 shirts and 1 pair of pants for $40. how much does the shirts cost?
answer the image bellow
vvv
1. The number of days is, 21/5
2. The cost of 100 kg rice is, 4520
3. The teachers required are, 120
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
1. Given that,
3 men can complete a work in 7 days
So, we can say magnitude of work is
M = 3 × 7 =21 unit
now, 5 men are working
So, magnitude of work is same
M = 5 × n
21 = 5 × n
n = 21/5 days
2. the cost of 25kg rice is 1130
price for 1 kg = 1130/25 =45.2
price for 100 kg = 45.2 × 100
= 4520
3. 90 teachers required for 1500 students,
1 teacher is expected to handle 1500/90 students,
So, for 2000 students
Teachers required = 2000/(1500/90) = 120
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