Answer:
The answer is 1
So first you will multiply the terms with the same base by adding their exponents. Then solve the exponents. Then the only thing you will have left is 7 to the power of 0. Which equals 1
How many students watch less than 3 hours of tv a day
7 students watch less than 3 hours of tv a day.
Hope this helps.
You should just count the x's in slots 0, 1, and 2, so the answer should be 7 (or however many those 7 x's represents)
A peach has 85 calories. It has w calories more than an orange. Write an expression for the number of calories in an orange. "MUST show work"
Answer:
Step-by-step explanation:
Let p represent the number of calories in a peach and g the number of calories in an orange.
Then p = g + w.
From this we get g = p - w.
In words: "The number of calories we get from an orange is equal to p, the number of calories from a peach, less w calories."
please help me question 1-4
The midsegment is half the length of the base.
1) 32 ÷ 2 = 16
So, 16 is the midsegment
2) 11 ÷ 2 = 5.5
So, 5.5 is the midsegment
3) 32 ÷ 2 = 16
So, 16 is the midsegment
4) 14 ÷ 2 = 7
So, 7 is the midsegment
A prism is completely filled with 1120 cubes that have Edge Length of 1/2 inc what is the volume of the prism
1,680 inches. This is the answer.
Find the area of a circle with a circumference of 26pi feet
Answer:
169pi feet^2.
Step-by-step explanation:
The diameter = 26pi / pi = 26 feet and the radius = 13 feet.
The area = pi r^2 = 13^2 pi
= 169pi feet^2
The area of the circle should be [tex]169\pi feet^2.[/tex]
Given information:The circumference is 26 pi feet
Calculation of the area of a circle:Since the circumference is 26 pi feet
We know that
Circumference = [tex]2\pi r[/tex]
So,
[tex]26\pi = 2\pi r[/tex]
So radius be 13
Now the area should be
[tex]= \pi 13^2\\\\= 169\pi feet^2[/tex]
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Marco left his house and went to the sporting goods store to buy a basketball. He then went to jays house. Together the boys headed to the park along the route shown. How far did Marco travel in all?
The map tells you 1 inch = 0.5 miles.
Multiply each dimension on the map by 0.5 to get the miles, then add them together:
House to Sports store = 2 x 0.5 = 1 mile.
Sports store to Jay's house = 3.75 x 0.5 = 1.875 miles.
Jay's house to park = 1.5 + 0.5 = 2 inches x 0.5 = 1 mile.
Total distance = 1 + 1.875 + 1 = 3.875 miles.
The total distance covered in miles is; 3.875 miles
What is the total distance travelled?From the map, we see that;
1 inch = 0.5 miles.
Now, total distance in inches is;
D = 2 + 3.75 + 1.5 + 0.5
D = 7.75 inches
Using the given conversion rate to miles, we have;
D = 7.75 * 0.5
D = 3.875 miles.
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two adjacent angles form a right angle. What type of angle pair do they form?
Answer:
complementary angles
Step-by-step explanation:
Adjacent angles form a right angle.
A right angle is 90 degrees.
Two angles that add to 90 degrees are complementary.
The adjacent angles are complementary
what is the area of the figure
First find out the ares of the square
10×10
100
Square Area = 100
Next, find the length of the sides of the triangle
16-10= 6
10-6= 4
Multiple the sides of the triangle a divide by two
6×4
24
24÷2
12
Add both the area of the square and triangle together
100+12
112
The area of the figure is 112
Answer:
Step-by-step explanation:
10x10=100in (Area of square )
(10-6)x6/2=12in (Area of triange )
100+12=112in
Ms. Juarez earns the same amount each week as Ms. Franklin does However, Ms. Juarez only works 25 per week. How much does Ms. Juarez earn each hour. btw Ms. Franklin earns about 31,200 in a year
Answer:
he earns $24 a hour
Step-by-step explanation:
31,200 divide by 52 (that is how many weak's are in a year) = 600
600 divide by 24 = 24
:)
Ms. Juarez earns $24 per hour.
To determine how much Ms. Juarez earns each hour, we need to find her annual salary first.
Since Ms. Franklin earns $31,200 per year and Ms. Juarez earns the same amount annually, Ms. Juarez also earns $31,200 per year.
Next, we calculate the number of hours Ms. Juarez works in a year. She works 25 hours per week, and there are 52 weeks in a year:
Weekly hours x Number of weeks = Total yearly hours
25 hours/week x 52 weeks/year = 1,300 hours/year
To find her hourly wage, we divide her annual earnings by the number of hours she works in a year:
Annual salary / Total yearly hours = Hourly wage
$31,200 / 1,300 hours = $24 per hour
Therefore, Ms. Juarez earns $24 per hour.
Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit. f(x)=x^2+4/4x+3 g(x)=|x+4|
Answer:
Solution 1
(x,y) = (-1,3)
Solution 2
(x,y) = (1,5)
Step-by-step explanation:
To easily solve this question, we use a graphing tool, or a calculator to plot each graph.
The solution of the system of equations corresponds to the intersection between both graphs
f(x)=x^2 + 4/4x + 3
g(x)=|x+4|
Please see image below
Solution 1
(x,y) = (-1,3)
Solution 2
(x,y) = (1,5)
Graphical methods or numerical methods such as Newton's method are used to approximate the solution(s) to the system of equations represented by f(x) and g(x) to the nearest tenth of a unit.
Explanation:To approximate the solution(s) to the given system of equations f(x) = x^2 + 4 / (4x + 3) and g(x) = |x + 4| using technology, one can employ a graphing calculator or graphing software. By plotting both functions on the same set of axes, the point(s) of intersection represent the solution(s) to the system. To find the approximate solution to the nearest tenth, it may be necessary to use the graph's zoom and trace features to accurately determine the x-values where the two graphs intersect.
If this graphical method is insufficient, numerical methods such as Newton's method can provide a more precise approximation.
Use the distributive property to simplify the expression 8(5x-9)
Answer:
[tex]40x-72[/tex]
Step-by-step explanation:
we have
[tex]8(5x-9)[/tex]
Applying the distributive property
taking the outer term and multiplying it by each term inside the parenthesis
so
[tex]8(5x-9)=8*5x-8*9[/tex]
[tex]40x-72[/tex]
Answer:
[tex]8(5x - 9) = 40 x - 72[/tex]
Step-by-step explanation:
Let a, b, and c be any real number. Then
[tex]a(b + c) = ab + bc[/tex]
This is called the distributive property.
The given expression is
[tex]8(5x - 9)[/tex]
Or
[tex]8(5x + - 9)[/tex]
Let a=8, b=5x and c=-9
We apply the distributive property to obtain:
[tex]8(5x - 9) = 8 \times 5 x + 8 \times - 9[/tex]
We simplify to get:
[tex]8(5x - 9) = 40 x - 72[/tex]
pls help i really am confused :/
Answer:
x = 5
Step-by-step explanation:
x/40 = 7/56
Reduce the right fraction.
x/40 = 1/8
Now cross multiply.
8x = 40
Divide both sides by 8.
x = 5
A is directly proportional to B when A =12 and B =3
A.)find a formula for A in terms of B
B.)find the value of A when B =5
C.)find the value of B when A =36
A) To find A in terms of B, we need to find A = xB. One given is A = 12 and B = 3. We substitute, which gives us 12 = x4. Divide both sides by 4, which gives us x = 3. This means that A = 3B.
B) For this, we can just plug in 5 as B in our equation. A = 3*5 -> A = 15.
C) We can plug in A as 36. 36 = 3B -> B = 12.
A.) The formula for A in terms of B is A = 4B. B.) When B = 5, A = 20. C.) When A = 36, B = 9.
Explanation:A.) To find the formula for A in terms of B, we can set up a proportion using the given values. Since A is directly proportional to B, we can write the proportion as A/B = k, where k is the constant of proportionality. Substituting the values A = 12 and B = 3, we have 12/3 = k. Solving for k, we find k = 4. Therefore, the formula for A in terms of B is A = 4B.
B.) To find the value of A when B = 5, we can substitute B = 5 into the formula A = 4B. A = 4(5) = 20.
C.) To find the value of B when A = 36, we can rearrange the formula A = 4B to solve for B. Dividing both sides by 4, we get B = A/4. Substituting A = 36, we have B = 36/4 = 9.
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Is a triangle with side lenghts 18, 12, and 22 a right triangle?
Answer: No
Step-by-step explanation:
Pythagorean Theorem goes with a right triangle, the formula is a^2+b^2=c^2.
Let's try this out with your values.
(18*18)+(12*12) = 468
If this is true than c^2 is 468
c^2 or (22*22) is 484 is this is not a right triangle.
stan needs 90 points to get a passing grade in class. He already has6 points. If each book report is worth 7 points, what is the fewest number of book reports Stan can do and still pass the class?
Answer:
12
Step-by-step explanation:
6 + 7n = 90
n = number of book reports
6 + 7n = 90
7n = 84
n = 12
12 book reports
stan needs to report at least 12 books to get passing marks.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given, stan needs 90 points to get a passing grade in the class. He already has6 points.
Let "x " be the number of books he Reports.
Since each book report is worth 7 points.
Thus, if he reports x books he will get = 7 * x points
Since he already has 6 points
So, the total points stan has for reporting x books = 7x + 6
Thus inequality,
7x + 6 ≥ 90
=> 7x + 6 ≥ 90
=> 7x ≥ 84
=> x ≥ 12
therefore, stan needs to report at least 12 books to get passing marks.
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What is the value of
Answer:
256/81
Step-by-step explanation:
The exact form is 256/81.
For this case we have that by definition of power properties:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
We have the following expression:
[tex](- \frac {3} {4}) ^ {- 4}[/tex]
We can rewrite it as:
[tex](- \frac {3} {4}) ^ {- 4} = \frac {1} {(- \frac {3} {4}) ^ {4}} = \frac {1} {\frac { 3 ^ 4} {4 ^ 4}} =[/tex]
Applying double c we have:
[tex] \frac {4 ^ 4} {3 ^ 4} = \frac {256} {81}[/tex]
Answer:
Option D
(08.06)
Jamie is 5 years older than Ella. Jamie's age is 11 years less than three times Ella's age. The system below models the relationship between Jamie's age (j) and Ella's age (e):
j = e + 5
j = 3e − 11
Which of the following methods is correct to find Jamie's and Ella's age?
Solve j + 5 = 3j − 11 to find the value of j.
Write the points where the graphs of the equations intersect the x-axis.
Write the points where the graphs of the equations intersect the y-axis.
Solve e + 5 = 3e − 11 to find the value of e.
Answer:
Solve e + 5 = 3e − 11 to find the value of e
Step-by-step explanation:
Let
j------> Jamie's age
e----> Ella's age
we know that
[tex]j=e+5[/tex] -----> equation A
[tex]j=3e-11[/tex] -----> equation B
equate equation A and equation B and solve for e
[tex]e+5=3e-11[/tex]
[tex]3e-e=5+11[/tex]
[tex]2e=16[/tex]
[tex]e=8[/tex]
Find the value of j
[tex]j=8+5=13[/tex]
Jamie's age is 13 years old
Ella's age is 8 years old
Technician A says that the piston's most important function is to transfer the force produced by the burning air-and-fuel mixture into usable power. Technician B says that the piston size is used to help form a seal between the piston and the cylinder walls. Who is right?
A. Technician B only
B. Technician A only
C. Both Technicians A and B
Answer:
Option B.
Technician A only
Step-by-step explanation:
Since we are talking about the most important function of a piston, the technician A is correct.
A piston is used to transfer force from expanding gas in the cylinder to the crankshaft , in an engine.
In a pump, its purpose is compressing or ejecting the fluid in the cylinder.
Technician B is not correct, because piston rings are used for creating a seal between piston and cylinder walls.
Answer:
B. Technician A only
Step-by-step explanation:
PENN
Which is the simplified form of
Answer: [tex]\frac{1}{r^{7} } +\frac{1}{s^{12} }[/tex]
Step-by-step explanation:
With negative powers, [tex]r^{-7} = \frac{1}{r^{7} }[/tex]
do the same for s too
For this case we have that by definition of power properties:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
We have the following expression:
[tex]r^{-7} + s ^{-12}[/tex]
We can rewrite it as:
[tex]\frac {1} {r ^ 7} + \frac {1} {s ^{ 12}}[/tex]
Finally:
[tex]r ^ {- 7} + s ^ {- 12} = \frac {1} {r ^ 7} + \frac {1} {s ^ {12}}[/tex]
Answer:
Option D
PERFORM MULITIPLICATION FFAAAASSSSTTTTT!
(b–2)(b+2)(b^2+4)
A line is parallel to the y-axis on a coordinate plane. Which best describes the slope of the line
Answer:
well if it is parallel it would but 2 lines going in the same direction. it will never touch
Step-by-step explanation:
Answer:
The slope of this line is undefined.
Explanation:
The slope of a line is rise over run, where the rise is the change in y value and the run is the change in x. Since there is no change in x when a line is parallel to the y-axis, any slope would mean you would divide by 0.
[tex]m=\frac{rise}{run}\\m = \frac{rise}{0} \\m= \frac{anything}{0}\\[/tex]
Since you cannot divide by 0 the answer will always be undefined no matter what the numerator is. The slope of any vertical line will be undefined.
On a map, Clemonsville and Durant are 120 miles apart. How fast is a car traveling if it takes 3 hours to get from Clemonsville to Durant?
A. 30mph
B. 36 mph
C. 40 mph
D. 45 mph
Answer:
40 mph
Step-by-step explanation:
120/3=40
is 14/15 bigger than 4/5
Answer:
Yes
Step-by-step explanation:
Multiply 4/5 so that they have a common denominator.
14/15 > 12/15 (4/5)
yes, 14/5 is larger than 4/5
4. What’s the answer to this question please
Answer:
The answer is D
(x=3, y=8)
Step-by-step explanation:
We want to reduce as many variable as we can so, we can obtain the value for the remaining variables.
Therefore, the first equation y=x+5 multiply it -2., you have -2y=-2x-10 and sum it to the second (2y-x=13), you will obtain the following: -x=13-2x-10.
You have x=3.
If you substitute x=3 in the first equation, you have y=8
Carmen sold 600 liters of soda at a baseball game. How much is this in milliliters? Be sure to include the correct unit in your answer.
Answer:
600,000 mL
Step-by-step explanation:
Since there is 1,000 mL in 1 L, 600 L = 600,000 mL.
If Carmen sold 600 liters of soda, then he would have sold 600000 milliliters of soda. 1 liter= 1000 milliliters
What number is 100% of 113. Help me please
100% is always the full number so 113 is your answer
Hope this helps and have a blessed day
Answer:
88.5
Step-by-step explanation:
100:113*100 =
(100*100):113 =
10000:113 = 88.5
A motorboat traveling downstream covers the distance between port M and port N in 6 hours. Once, the motorboat stopped 40 km before reaching N, turned around, and returned to M. This took the motorboat 9 hours. Find the speed of the motorboat in still water if the speed of the current is 2 km/hour.
Answer:
18 km/h
Step-by-step explanation:
Let S km be the distance between ports M and N, x km/h be the speed of the motorboat in still water. Then x-2 km/h is the speed of the motorboat upstream and x+2 km/h is the speed of the motor boat downstream.
1. The motorboat traveling downstream covers the distance between port M and port N in 6 hours, then
[tex]\dfrac{S}{x+2}=6[/tex]
2. Once, the motorboat stopped 40 km before reaching N, turned around, and returned to M. This took the motorboat 9 hours. Then
[tex]\dfrac{S-40}{x+2}+\dfrac{S-40}{x-2}=9[/tex]
From the first equation [tex]S=6(x+2)=6x+12.[/tex] Substitute it into the second equation:
[tex]\dfrac{6x+12-40}{x+2}+\dfrac{6x+12-40}{x-2}=9,\\ \\\dfrac{6x-28}{x+2}+\dfrac{6x-28}{x-2}=9.[/tex]
Now
[tex]\dfrac{(6x-28)(x-2)+(6x-28)(x+2)}{(x-2)(x+2)}=9,\\ \\(6x-28)(x-2+x+2)=9(x^2-4),\\ \\(6x-28)\cdot 2x=9x^2-36,\\ \\12x^2-56x-9x^2+36=0,\\ \\3x^2-56x+36=0,\\ \\D=(-56)^2-4\cdot 3\cdot 36=2704,\\ \\x_{1,2}=\dfrac{56+\sqrt{2704}}{2\cdot 3}=\dfrac{56\pm52}{6}=\dfrac{2}{3},\ 18.[/tex]
The speed of the motorboat cannot be less than the speed of the current, thus, x=18 km/h.
The speed of the motorboat in still water if the speed of the current is 2 km/hour is 18 km/hour.
Suppose the distance between port M and N =d
Suppose the speed of the motorboat in still water =x
The speed of the current =2 km/h (given)
So, the downstream speed of the boat = (x+2)
Upstream speed of the boat = (x-2)
What is speed?Speed is the distance covered in unit time.
According to the question, a motorboat travelling downstream covers the distance between port M and port N in 6 hours.
This means, [tex]\frac{d}{x+2} =6[/tex]
So, [tex]d=6(x+2)[/tex]
Distance covered by the motorboat when the motorboat stopped 40 km before reaching N = d-40
=[tex]6(x+2)-40[/tex]
=[tex]6x-28[/tex]
So, [tex]\frac{6x-28}{x+2} + \frac{6x-28}{x-2} =9[/tex]
So, [tex]x=18[/tex]
[tex]x=\frac{2}{3}[/tex](not possible)
Therefore, the speed of the motorboat in still water if the speed of the current is 2 km/hour is 18 km/hour.
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find the area, in square feet, of a triangle whose base is 4/2/3 feet and whose altitude is 8 4/7 feet
Answer:
20
Step-by-step explanation:
Area of Triangle = 1/2b*h
Area of Triangle = 1/2*4 2/3*8 4/7
Area of Triangle = 20
Does the graph of the function y–x^2=9 intersect the following. If the answer is ‘yes’, determine the coordinates of the points of intersection the y axis
Answer:
The function intersects the y-axis at point (0.9) (vertex)
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
[tex]y=a(x-h)^{2}+k[/tex]
where
(h,k) is the vertex of the parabola
if a>0 then the parabola open upward (vertex is a minimum)
In this problem we have
[tex]y-x^2=9[/tex] -----> [tex]y=x^2+9[/tex]
This is a vertical parabola open upward
The vertex is the point (0,9)
The vertex is a minimum
see the attached figure to better understand the problem
The graph does not intersect the x-axis (the function has no real roots)
The function intersects the y-axis at point (0.9) (vertex)
the following represent the favorite color reported by young children at a birthday party. blue green red blue blue yellow red blue blue green blue. which of the following would be best to describe a typical value in th data set? the mean the median the mode
The mode would be best because it describes the color used most often.
Answer:
Mode because its the number shown most.
Step-by-step explanation: