Answer: 49x6^y10^
Step-by-step explanation:
49x⁶y¹⁰ no. of tiles is required to cover the floor.
What is an exponent ?When same number is multiplied "n" no. of time to denote in in compact form we raise a small n to illustrate it.
According to the given question
A square floor has a side length of 7x⁵y⁶ units. A square tile has a side length of x²y units
Here we are given a side of the floor and the tile both of them are square in nature we know that area of a square is (side)².
∴ Area of the given floor is
= (7x⁵y⁶)² sq units
= 7²x¹⁰y¹² sq units
= 49x¹⁰y¹² sq units.
Area of a tile is
= (x²y)² sq units
= x⁴y² sq units.
So no. of tiles required will be (area of the floor)/(area of a tile)
= ( 49x¹⁰y¹² / x⁴y² )
= 49x⁶y¹⁰ ( when exponents with same base is
being divided their powers gets substracted)
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Jessica is running a marathon. She traveled at an average pace 7.5 minutes per mile for 10 miles. She ran the rest of the marathon at an average pace of 8.5 minutes per mile for 12 miles. What was the total time in minutes that she ran the marathon?
Answer:
175.5 minutes
Step-by-step explanation:
10 x 7.5 = 73.5
12 x 8.5 = 102
73.5 + 102= 175.5
175 mins and 30 seconds
needdddd help pls ill mark brainlist
Step-by-step explanation:
correct answer 2) y> 3x+2
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
Need to solve for x
X+6=2x+5
Answer:
x=1
Step-by-step explanation:
x+6=2x+5
move the x to the right-hand side, and the 5 to the left-hand side (the sign will also change from a + to a -
6-5=2x-x
therefore, you will get:
x=1
Answer:
Step-by-step explanation:
x = 1
x + 6 = 2x + 5
6 - 5 = 2x - x
-1 = x
x = 1
--------------
check
1 + 6 = 2 × 1 + 5 (remember pemdas)
7 = 7
the answer is good
struggling hard with probability questions, if anyone could help would be greatly appreciated, will give brainiest
The value of the probability is P(Large or Blue) = 7/10
How to evaluate the probability?The given parameters are represented on the table
Using the table parameters, we have
P(Large or Blue) = [(Large) + (Blue) - (Large and Blue)]/Total
This gives
P(Large or Blue) = ((17 + 8) + (17 +3) - 17)/(17 + 3 + 8 + 12)
This gives
P(Large or Blue) = 28/40
Simplify
P(Large or Blue) = 7/10
Hence, the value of the probability is P(Large or Blue) = 7/10
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the equation s=2√5x can be used to estimate the speed ,s,of a car in milles per hour, given the length in feet ,x, of the tire marks it leaves on the ground .A card travelling 90 miles per hour came to a sudden stop according to the equation ,how long would the tire marks be for this car A 355 feet B 380 feet C 405 feet D 430 feet
Answer:
405 feet
Step-by-step explanation:
s = 2 * (√5) * 90
s = 2 * 201.246117975
s = 402.49223595
Closest estimate
405 feet
Answer:
Since The equation that depicts the motion of the Car is given.
The speed in terms of the tire marks...
s= 2√5x
where x is the tire marks(in feet.)
s is the speed(miles per hr)
We can't use the speed in Miles per hr when the tire mark is feet.
1mile = 5280ft
90miles x 5280ft/1mile = 475,200ft/hr
Making x the subject
x= s/2√5
x= 475/200/(2√5 )
=106,257ft
I still can't see what I'm missing or You sure you didn't forget to add something else to the question?
If you live in Portland, you live in Oregon. Cara does not live in Oregon. Therefore, Cara does not live in Portland.
a.) Overlapping Sets
b.) Subsets
c.) Disjoint Sets
Please somebody help me
Solve for the value of d
Answer:
(4d-1)+105=180=>
4d-1+105=180=>
4d+104=180=>
4d=76
d=19
graph y-intercept 6 and slope-7
We will get y = -7x + 6 in graph y-intercept 6 and slope-7.
The equation of the line with a y-intercept of 6 and a slope of -7 can be written in slope-intercept form as:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting the given values, we get:
y = -7x + 6
So the equation of the line is y = -7x + 6.
slope -7 and y - intercept 6.
Slope intercept form: y = mx + b, m=slope, b = y-intercept
y = -7x + 6
Just plug in a value for x and solve for y
x y=-7x+6
------------------
0 6
1 -1
If you plot these two points and draw a straight line through them,
that is the graph of the line.
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Simplify the complex fraction.
It's a lot of grouping like terms.
The function g(x) is graphed on the coordinate grid. What is the domain of g(x)? x≥5 x>5 x≥0 x>0
The domain of the function g(x) is x >= 5
How to determine the domain?The complete question is added as an attachment
From the graph, we have the smallest value of x to be 5.
And the value of x increases to the right
This means that:
x >= 5
Hence, the domain of the function g(x) is x >= 5
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Aaron has c cousins. Fiona has 5 more
cousins than Aaron has. How many
cousins does Fiona have?
A CX5
B C + 5
CC - 5
D
5
A university administrator was interested in determining if there was a difference in the distance students travel to get from class from their current residence(in miles). Men and women at UF were randomly selected. The Minitab output is below. What is the best interpretation for the output?
Difference = mu (F) - mu (M)
T-Test of difference = 0 (vs not =): T-Value = -1.05 P-Value = 0.305 DF = 21
A. With a p-value of 0.305, we do have statistically significant evidence that the population mean distance traveled to class is different for men and women.
B. With a p-value of 0.305, we do have statistically significant evidence that the population mean distance traveled to class is the same for men and women.
C. With a p-value of 0.305, we do not have statistically significant evidence that the population mean distance traveled to class is the same for men and women.
D. With a p-value of 0.305, we do not have statistically significant evidence that the population mean distance traveled to class is different for men and women.
Answer:
D. With a p-value of 0.305, we do not have statistically significant evidence that the population mean distance traveled to class is different for men and women.
Step-by-step explanation:
What we are testing?
If the distance students travel to get from class is statistically different for men and women.
How we take the decision?
The significance level is the standard of 0.05.
If the p-value is greater than 0.05, there is no evidence that the distances are statistically different for the population.
If the p-value is less than 0.05, there is evidence that the distances are statistically different different for the population..
In this question:
p-value: 0.305 > 0.05, so there is no statistically significant evidence that the means are difference, and the correct answer is given by option d.
Marsha deposited 7,500 into a savings account 3 years ago. The simple interest rate is 5%. How much money did Marsha earn in interest
Answer:
$1,125 in interest.
Step-by-step explanation:
We need the formula of I = P * i * t where P is the total principle, i is the rate of interest per year, and t is the total time in years.
So we have
P = $7,500
i = 5%
t = 3 years
I = 7500 * 0.05 * 3
I = 1,125 (Interest)
Now we need to find the amount using A = P + I
A = 7,500 + 1,125
A = 8,625
Therefore $8,625 is our total. While our interest is $1,125.
Can anyone help me with this and explain?
pls help will give brainliest
Given f(x)=2/x^2+3x-10, which of the following is true?
A. f(x) is positive for all x<-5
B. f(x) is negative for all x<-5
C. f(x) is positive for all x<2
D. f(x) is positive for all x>2
The only true statement about the domain of the given function is:
B. f(x) is negative for all x < -5
How to solve for the domain of the function?The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).
Now, we are given the function as:
f(x) = \(\frac{2}{x^{2} } + 3x - 10\)
When x < -5, we have:
f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)
f(-4) = -21.875
This suggests that for all values below x = -5 will result in negative values
When x > 2
f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)
f(3) = -0.78
Thus, it will get positive for higher values but it can also be negative as seen here.
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how do you find the area of a circle
Answer:
A=πr2
Step-by-step explanation:
Area of a circle is found by the following formula-
Area of Circle = πr^2
Where -
π = pie, value of 3.14 or 22/7
r = radius of a circle
Example -
A circle has a radius of 10 cm. Find the area of the circle.
Solution -
Area of Circle = A=πr^2
A = 3.14*10^2
A= 314 cm
Note - Most preferably, 3.14 is the most common value used for pie. You can also use 22/7, and would end up with roughly the same answer, but it takes more time to solve with a fraction like 22/7.
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A thermometer reading 10°C is brought into a room with a constant temperature of 36°C. if the thermometer reads 14°C after 2 minutes, what will it read after beint left in the room for 4 minutes? and for 9 minutes?
Answer:
4 minutes: 17.4 °C9 minutes: 23.7 °CStep-by-step explanation:
You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.
Newton's law of coolingNewton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...
T = 36 -26·(22/26)^(t/2)
At times of t=4 and t=9, the temperature readings will be ...
4 minutes: 36 -26(11/13)^(4/2) ≈ 17.4 °C9 minutes: 36 -26(11/13)^(9/2) ≈ 23.7 °C__
Additional comment
The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.
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A cell phone company is offering 2 different monthly plans. Each plan charges a monthly fee plus an additional cost per minute. Plan A: $ 40 fee plus $0.45 per minute Plan B: $70 fee plus $0.35 per minute a) Write an equation to represent the cost of Plan A b) Write an equation to represent the cost of Plan B c) Which plan would be least expensive for a total of 100 minutes?
*Please Show Work*
Answer:
Plan A would be the least expensive
Step-by-step explanation:
Plan A= $0.45x100= 45, 45+40=$85
Plan B= $0.35x100= 35, 35+70= %105
(Each plan is for 100 minutes)
The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches. Use this information to answer the questions. (a) What is the probability that a randomly selected woman from this university is 69 inches or taller
Answer: 0.16
Step-by-step explanation:
Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.
According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.
About 68% woman have height between ( 66-3) inches and (66+3) inches.
i.e. About 68% woman have height between 63 inches and 69 inches.
The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]
The percentage of woman have height is 69 inches or taller = 32%÷2
= 16%
Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16
what is 999.09344471 rounded to the nearest square kilometer?
The nearest kilometers to 999.09344471 km is 1000 km.
Given value is 999.09344471 Km.
We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.
Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only the value after the decimal (934) is to be rounded off which is (900).
So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.
Again rounding off 999.900 km to nearest km so it becomes 1000 km.
The nearest kilometers to 999.09344471 km is 1000 km.
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A square has a side length of 7 cm. A rectangle has a length of y/8-3cm and a width of 4 cm. The square has the same perimeter as the rectangle. Work out the value of y.
if the square has the same perimeter as the rectangle then the value of y is 92.
How to find the value of y?The perimeter of a square is equal to the sum of all four sides, so a square with a side of 7 cm has a perimeter of 4 * 7 cm = 28 cm.
The perimeter of the rectangle is equal to twice the sum of the length and width. So for a rectangle of length y/8-3cm and width 4cm, the perimeter is 2 * (y/8-3+4) cm = (y/4-3+8) cm = y/4 . +5 cm.
Since squares and rectangles have the same perimeter, the two perimeter formulas can be equal.
28cm = y/4+5cm
You can solve for y by isolating it on one side of the equation.
years/4+5 = 28
y/4 = 23
y=92
So the value of y is 92.
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PLEASE HELPPPP
Simplify: 2/3 -(6 + 3x) + 3 (x - 1)
Answer:
-25/3, or - 8 1/3
Step-by-step explanation:
many steps
2/3 + - (6+3x)/1 +3 (x-1)
- (6+3x)/1 *3/3* 2/3+ -(6+3x)/1 * 3/3 + 3 (x-1)
- (6+3x/1* 3/3* 2/3+ -(6+3x)*3/3 +3(x-1)*3/3
2-(6+3x)*3+3(x-1)*3/3
2+ (-1*6 - (3x)0 * 3+3 (x-1)*3/3
-1*6*2+(-6-(3x))*3+3(x-1)*3/3
3* -1 *2 + (-6-3x) *3+3 (x-1) *3 / 3
3*-1 * 2+(-6-(3x)) *3+3(x-1)*3/3
2-6*3x*3+3(x-1)*3/3
-6*3*2-18-3x*3+3(x-1)*3/3
3*-3*2-18-9x+3(x-1)*3/3
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
emiliano pants 8,450 trees.he plants 125 in each row with an extra row for any leftover trees. how many full ows are there? How many trees are in the extra row? what fraction of the number of trees in a full row is the number of trees in the extra row?
The required fraction of the number of trees in a full row that is the number of trees in the extra row is 6/10.
Number of full rows = 8450 trees / 125 trees/row = 67.6 rows
Since Emiliano cannot plant a fraction of a row, the number of full rows he plants is 67.
To find the number of trees in the extra row, we need to subtract the number of trees in the full rows from the total number of trees:
Number of trees in the extra row = 8450 trees - (125 trees/row × 67 rows) = 75 trees
Therefore, Emiliano plants 67 full rows and an extra row with 75 trees.
To find the fraction of the number of trees in a full row that is the number of trees in the extra row, we need to divide the number of trees in the extra row by the number of trees in a full row:
Fraction of the number of trees in a full row that is the number of trees in the extra row = 55 trees / 125 trees/row = 0.6 or 60/100 or 6/10
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) Emily baked a cake in 42.5 minutes. She finished making dinner 9 1/10 minutes sooner than the cake. How long did it take her to make dinner? Hint: Change the 9 1/10 to a decimal
It took Emily 33.4 minutes to make dinner.
Define a mixed number?A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.
To solve the problem, we have to convert the mixed number \(9 \frac{1}{10}\) to a decimal number:
⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)
⇒ \(\frac{91}{10}\) = 9.1
This means that Emily finished making dinner 9.1 minutes sooner than the cake.
To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:
⇒ 42.5 - 9.1 = 33.4 minutes
Therefore, it took Emily 33.4 minutes to make dinner.
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The correct Standard Form of the equation y=3/2x+3
Answer:
3x-2y=-6
My mom listening to wap
A local hamburger shop sold a combined total of 620 hamburgers and cheeseburgers on Monday. There were 70 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Monday?
Answer:
275 cheeseburgers
Step-by-step explanation:
620-70=550
550/2=275
If a local hamburger shop sold a combined total of 620 hamburgers and cheeseburgers on Monday. 275 hamburgers were sold on Monday.
What is the hamburgers sold?H = Number of hamburgers sold
C = Number of cheeseburgers sold
The total number of hamburgers and cheeseburgers sold on Monday is 620:
H + C = 620
There were 70 more cheeseburgers sold than hamburgers:
C = H + 70
Substitute the value of C from the second equation into the first equation:
H + (H + 70) = 620
Combine like terms:
2H + 70 = 620
Isolate 2H by subtracting 70 from both sides:
2H = 620 - 70
2H = 550
Divide both sides by 2 to find the value of "H":
H = 550 / 2
H = 275
Therefore 275 hamburgers were sold on Monday.
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Drag the tiles to the correct boxes to complete the pairs.
Match each power of i to its equivalent expression.
Tiles
1
Pairs
81
¡52
*99
166
-1
i
111
-i
The equivalent expressions based on the information will be:
i^81 = I
i^52 = 1
i^99 = -i
i^66 = -1
How to calculate the expressionAn expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
For i^81, 81 will be 4 × 20 + 1
i^81 = i
i^52 will be:
52 = 13 × 4
i^52 = 1
i^99 will be:
99 = 24 × 4 + 3
i^99 = -i
i^66 will be;
66 = 16 × 4 + 3
i^66 = -1
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A hummingbird's brain has a weight of approximately 2.94 x 10- ounces. An elephant's brain has a weight ofapproximately 1.76 x 102 ounces.Approximately how many times heavier is the elephant's brain than the hummingbird's brain?A) 60B) 600C) 6,000D) 60,000
Given the information on the problem,we have to divide the weight of the elephant's brain by the weight of the bird's brain, then, using the rules of exponents, we have the following:
\(undefined\)