Use the formula d = rt to find the distance d a long-distance runner can run at a rate r of 9 1/2 miles per hour for time t of 1 3/4 hours.
multiply the 2 numbers
9 1/2 * 1 3/4 =
19/2 * 7/4 = 133/8 = 16 5/8 miles
How many milligrams are in 5 grams
16x+x =12 solve justify each step with algebraic property
Write 720,080 in expanded form with exponents
Thirty students are eating lunch at 5 tables. Each table has the same number of students. How many students are sitting at each table
What is the value of t? t−122=3t2−3 –3 –1 1 3
If your equation is ...
[tex]t-122=3t^2-3[/tex]
then it has no real solutions, and certainly no integer solutions.
_____
The attached graph show the left side is never equal to the right side of this equation for any real values of t.
the correct answer is actually 3
i just got done with the quiz and the answer was 3
A violin student records the number of hours she spends practicing during each of nine consecutive weeks. 6.2 5.0 4.3 7.4 5.8 7.2 8.4 1.2 6.3 what is the interquartile range (iqr) for this data?
To calculate the interquartile range (IQR) of the data set, the ordered values are split by the median to find Q1 and Q3. The difference between Q3 and Q1 gives the IQR which is 2.65 for this data set.
The interquartile range (IQR) is the measure of the middle 50 percent spread in a data set and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). To find the IQR for the provided data set (6.2, 5.0, 4.3, 7.4, 5.8, 7.2, 8.4, 1.2, 6.3), we first need to order the data from smallest to largest and then identify Q1 and Q3. Using the median to split the ordered data into two halves and finding the medians of these two halves gives us Q1 and Q3, and their difference gives us the IQR.
Ordered data: 1.2, 4.3, 5.0, 5.8, 6.2, 6.3, 7.2, 7.4, 8.4Median (also Q2): 6.2Lower half (for Q1 calculation): 1.2, 4.3, 5.0, 5.8Upper half (for Q3 calculation): 6.3, 7.2, 7.4, 8.4Q1: (5.0 + 4.3) / 2 = 4.65Q3: (7.4 + 7.2) / 2 = 7.3IQR: 7.3 - 4.65 = 2.65What is a degree plolynomial?
litter along a 15 mile stretch road will be picked up by 6 different groups of students which equation shows how to find the number of miles each group needs to clean
a.15 divided by 6=6/15
b. 6 divided by 15=6/15
c. 15 divided by 6=15/6
d. 6 divided by 14 =15/6
Eva has 2 apples in her basket she eats 1 apple and gives 1 apple to her friend how many apples does Eva have now
Which function represents g(x), a reflection of f(x) =1/2(3)x across the y-axis?
Answer:
The required function - [tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]
Step-by-step explanation:
Given : Function represents g(x), a reflection of [tex]f(x) =\frac{1}{2}(3)^x[/tex] across the y-axis
To find : Which function represents the g(x)?
Solution :
The function [tex]f(x) =\frac{1}{2}(3)^x[/tex]
The function f(x) reflected across y-axis to form g(x)
The reflection of the point (x,y) across the y-axis is the point (-x,y).
f(x,y)→f(-x,y) , the graph of f(x) is reflected across y-axis.
Let [tex]y=\frac{1}{2}(3)^x[/tex]
After reflection across y-axis is
[tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]
The required function.
Refer the attached graph below.
Justin is redoing his bathroom floor with tiles measuring 6in by 13 in. the floor has an area of 8,500 in². what is the least number of tiles he will need?
gregs gas station sells three different kinds of gasoline:regular,plus,and premium
mr.adams spent $36.25 on 12.5 gallons of regular gasoline at gregs gas station.determine the cost per gallon for regular gasoline,showing each step in the process.
Mr. Adams spent $36.25 on 12.5 gallons of regular gasoline. To find the cost per gallon, divide the total cost by the number of gallons, resulting in a cost of $2.90 per gallon of regular gasoline at Greg's gas station.
To determine the cost per gallon for regular gasoline, we need to divide the total amount spent by Mr. Adams at Greg's gas station by the number of gallons of gasoline he purchased. In this case, Mr. Adams spent $36.25 on 12.5 gallons of regular gasoline.
Step-by-step calculation:
Write down the total cost of gasoline: $36.25.
Write down the total gallons of gasoline purchased: 12.5 gallons.
Divide the total cost by the number of gallons to find the cost per gallon: $36.25 \/ 12.5 gallons.
Perform the division: $36.25 \/ 12.5 gallons = $2.90 per gallon.
Therefore, the cost per gallon for regular gasoline at Greg's gas station is $2.90.
What is 965,000,000,000,000 in scientific notation?
9.65×10−14
9.65×10−12
9.65×1012
9.65×1014
Answer:
9.65×10¹⁴
Step-by-step explanation:
The 9 of 9.65 has been moved 14 places to the left to get to its position in 965,000,000,000,000. That is, its value has been multiplied by 10¹⁴.
_____
If you were to write 965,000,000,000,000 in expanded form, you would write it as ...
... 9×10¹⁴ +6×10¹³ +5×10¹² +0×10¹¹ +... +0×10⁰ = 9.65×10¹⁴
The first term of this sum is a clue as to how the number is written in scientific notation,
the answer is 9.65×10¹⁴
In Sean's fish tank there are 6times as many goldfish as guppies that's are a total of 21 fish in the tank how many more goldfish are there than guppies
To solve the equation t² - t = 12 by factoring, you would use
angle LMP and angle PMN are complementary. Find the value of x.
A play was attended by 173 people. Adult tickets were $5 each and children paid $3 for each ticket the total revenue was $703. How many of each kind of ticket were sold?
Answer: 81 children and 92 adults
Step-by-step explanation:
To solve the exercise, check the data we have from the question:
Total people: 173
Adult tickets price: $5
Children tickets price: $3
Total revenue: $703
We need to know how many of each kind of ticket were sold. To do so, we can show the data as two equations:
Equation 1:
[tex]TotalRevenue = Adults*5 + Children*3[/tex]
[tex]703=5a+3c[/tex]
Equation 2:
[tex]a+c=173[/tex]
Where a represents adults who attended the event and c represents children who attended the event. We can replace one of the unknown quantities following:
[tex]a=173-c[/tex]
[tex]703=5(173-c)+3c[/tex]
Solving:
[tex]703=865-5c+3c[/tex]
[tex]5c-3c=865-703[/tex]
[tex]2c=162[/tex]
[tex]c=81[/tex]
Then, we replace c on equation 2:
[tex]a=173-81[/tex]
[tex]a=92[/tex]
what is -4.15 as a fraction
You bought a magazine for $6 and some notepads for $3 each. You spent a total of $18. How many notepads did you buy?
To find the number of notepads bought, we can set up an equation by subtracting the cost of the magazine from the total cost and equating it to the cost of the notepads. By solving the equation, we find that you bought 4 notepads.
Explanation:To solve this problem, we can start by setting up an equation. Let's assume the number of notepads bought is 'x'. We know the magazine cost $6, so the cost of the notepads is $18 - $6 = $12. Since each notepad costs $3, the equation becomes 3x = 12. To find the value of 'x', we can divide both sides of the equation by 3. So, x = 12/3 = 4.
Therefore, you bought 4 notepads.
will give BRAINEST
Which of these statements is true for
Is the point (8'10), a solution of the equation y=16x-3
The Waist to Hip Ratio (WHR) is a ratio commonly expressed as a decimal that has been shown to be a good predictor of possible cardiovascular problems in both men and women. If Kevin has a WHR greater than 1, he is considered to be “high risk” for cardiovascular problems. Calculate Kevin’s WHR with a waist measurement of 42 inches and a hip measurement 2 inches less.
Type the number 1340000 in scientific notation. express your answer using scientific notation.
To convert the number 1,340,000 into scientific notation, move the decimal point 6 places to the left to get 1.34, then place this as an exponent on 10 to get 1.34 x 10^6.
Explanation:In scientific notation, large numbers are simplified by moving the decimal point to the left until we have a number between 1 and 10. We then use an exponent on 10 to indicate how many places the decimal point has been moved. If you take a look at the number 1,340,000, the decimal point is technically at the end of the number right now. In order to express this number in scientific notation, we move the decimal point 6 places to the left, which gives us 1.34. The number of places we moved the decimal point to the left becomes the exponent on 10. Therefore, 1,340,000 in scientific notation is 1.34 x 10^6.
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The length of a rectangle is 1 less than twice the width. The area of the rectangle is 28 square feet. Which equation represents the situation?
Answer:
2W²-W-28 = 0
Step-by-step explanation:
A carpenter is making a brace for a chair. To do so she intersects two pieces of wood to make two sets of vertical angles. The ostuse angles formed are each 145 . What is the measurement of each acute angle formed
How many times can 36 go into 83??
Find the parabola with equation y = ax^2 + bx whose tangent line at (2, 4) has equation y = 8x − 12.
We want to get a quadratic equation by knowing its tangent line at a point. Remember that the tangent line is given by the derivative of the equation.
We will find that the parabola is:
y = 3*x^2 - 4*x
We start with the tangent line:
y₂ = 8*x - 12
The slope of this tangent line is equal to the derivative of our parabola evaluated in x = 2.
Our parabola is y = a*x^2 + b*x
Derivating we get:
y' = 2*a*x + b
Then we have:
2*a*2 + b = 8
And we also know that our parabola passes through the point (2, 4), then we must have:
4 = a*2^2 + b*2
Then we have a system of equations:
2*a*2 + b = 8
4 = a*2^2 + b*2
First we can simplify the equations:
4*a + b = 8
4 = 4*a + 2*b
We can isolate 4*a in the first equation to get:
4*a = 8 - b
Now we can replace it in the second equation:
4 = (8 - b) + 2*b
4 = 8 + b
4 - 8 = b
-4 = b
Now that we know the value of b, we can use
4*a = 8 - b
4*a = 8 + 4 = 12
a = 12/4 = 3
Then the equation of the parabola is:
y = 3*x^2 - 4*x
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one hundred times the quantity seven plus nine
what’s the y and x intercept of 4/5x-2y=3