Point E is on a line segment DF . Given DE =12 and EF = 6, determine the length DF
Answer:
18
Step-by-step explanation:
Given that the distance between DE is 12 And EF is 6
We can determine that the length is the two put together so 12+6=18
What is the distance from - 12 to -5 on a number line
Answer:
positive 7
Step-by-step explanation:
What is the remainder when a^3 - 4 is divided by a+2?
a)0
b)-6
c)-2
d)-12
Answer:
The remainder is -12. Choice d)
Step-by-step explanation:
The Remainder Theorem
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).
We have the polynomial
[tex]P(a)= a^3 - 4[/tex]
To evaluate the remainder when P is divided by a+2, we only have to find P(-2):
[tex]P(-2)= (-2)^3 - 4[/tex]
[tex]P(-2)= -8 - 4=-12[/tex]
The remainder is -12. Choice d)
If the venue needs to sell 86 tickets to break even, then how much money have they invested in the concert
Answer: the first one is 2924
If there’s a next question after that about the venue’s capacity the answer is 6800
Hope this helps! ^^
1. A movie theater sells tickets for $9.00 each. Senior citizens receive a discount of $3.00. One evening the theater
sold 636 tickets and took in $4974 in revenue. How many tickets were sold to senior citizens?
Answer:
250
Step-by-step explanation:
x is adult tix, y is senior tix
9x + 6y = $4974
x+y= 636
x=636-y
9(636-y) +6y = 4974
5724 - 9y + 6y = 4974
-3y = 4974-5724
-3y=-750
y=250
Twice Use what you have learned to compare circles by their characteristics. 1. Draw each circle. A. Radius length of 3 centimeters b. Diameter length of 3 centimeters 2. Describe the similarities and differences between your two circles. 3. Describe the relationship between the circumferences of the two circles. 4. Describe the circumference-to-diameter ratio of all circles.
Answer:
1. a. Please find attached, the diagram for the first circle with radius = 3 cm
b. Please find attached, the diagram for the second circle with diameter = 3 cm
2. The similarities are;
a) Both circles can be described by a point and a radius or a diameter
The differences are;
a) The length of the radiuses are different for the two circles (3 cm and 1.5 cm)
b) The circumferences of the two circles are different
c) The area covered by the two circles are different
3. The circumference of the circle with radius equal to 3 cm is larger than the circumference of the circle with diameter equal to 3 cm
4. The circumference to diameter ratio of the circle with radius = 3 cm is π
The circumference to diameter ratio of the circle with diameter = 3 cm is π
Both circles have equal circumference to diameter ratio given that the circumference = π × The diameter
Step-by-step explanation:
1. a. The radius length of the first circle = 3 cm
The diagram for the first circle with radius 3 cm is attached
b. The diameter length of the second circle = 3 cm
The diagram for the second circle with diameter 3 cm is attached
2. The similarities are;
a) Both circles can be described by a point and a radius or a diameter
The differences are;
a) The length of the radiuses are different for the two circles (3 cm and 1.5 cm)
b) The circumferences of the two circles are different
c) The area covered by the two circles are different
3. The circumference of the circle with radius equal to 3 cm is 2 × π × 3 = 6·π cm
The circumference of the circle with diameter equal to 3 cm is π × 3 = 3·π cm
Therefore, the circumference of the circle with radius equal to 3 cm is larger than the circumference of the circle with diameter equal to 3 cm
4. The circumference to diameter ratio of the circle with radius = 3 cm is 6·π cm/(2 × 3 cm) = π
The circumference to diameter ratio of the circle with diameter = 3 cm is 3·π cm/(3 cm) = π.
Both circles have equal circumference to diameter ratio given that the circumference = π × The diameter.
What is the Integers of 3.5
Answer:
3.5 is a rational number.
Answer:
3.5 is a rational number, so a rational number can be made by dividing two integers. In mathematics, a rational number is a number that can be expressed as the quotient or fraction
the coordinates of point T are (0,2). The midpoint of ST is (7,-7). Find the coordinates of point S
Answer:
(14,-16)
Step-by-step explanation:
A movie ticket costs $9.A concert ticket costs $45. Which equation can be used to find how many times as much the concert ticket costs than a movie ticket?
Answer:
45/9=5 times
Step-by-step explanation:
Answer:
its 45 times 9=
Hope this helps!!
f(x)= -3x{2 } - 6x + 1
Answer:
( 3 , − 10 )
Step-by-step explanation:
Answer:
-3,10
Step-by-step explanation:
First, follow PEMDAS, then you will have your answer
How do you solve 2(x-6)=x-14
Answer:
x = -2
Step-by-step explanation:
[2(x-6) = x - 14]
Multiply 2 by x and (-6) in parenthesis, distribution
[2x -12 = x - 14]
Add 12 to both sides
[2x = x - 2]
Subtract x from both sides
[x = -2]
Factorise
x2 + 2x - 3
Answer:
( x − 1 ) ( x +3 )
log4(3x-1)=log4(2x+3)
Answer:
x = 4
Step-by-step explanation:
Evaluate the logarithms to solve.
Show an expression for three plus two, then times by four
Answer:
4(3+2)
Step-by-step explanation:
Write using order of operations
Answer:
4(3+2)
Step-by-step explanation:
there you go, hope it helps!
this is a test. What is (364 x 476)^-100 +30
Answer: 30
Step-by-step explanation: 364x476=173264^-100=0+30=30.
The answer is 30
364x476= 173264
173264⁻¹⁰⁰= 0
0+30 = 30
How would I categorize numbers? For example, what category would √23 fit into? Thankssss
Answer:
positive, real, irrational, algebraic
Step-by-step explanation:
Numbers are categorized various ways. Some categories include ...
prime, composite
real, complex
integer, rational, irrational
whole number, natural number
positive, negative, zero
algebraic, non-algebraic*
√23 is the positive, real, irrational root of a prime number. It is an algebraic number.
_____
* An algebraic number is a root of a polynomial with integer coefficients.
√23 is a root of x^2 -23 = 0.
Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together? Assume the buses have no breaks in between routes. Give your answer as a 12-hour clock time
Answer:
Bus A: 10:00am Bus B:10:20
Step-by-step explanation
I think that this is correct
Tulip bulbs are on sale at store A, at 5 for $11.00, and the regular price at store B is 6 for $13. Is each store pricing tulip bulbs at the same rate? Explain how you know.
Answer:
No, they are not sold at the same rate
Step-by-step explanation:
An easy way to figure situations like these can be taking the number of items there and then dividing by the total price. For A, each bulb costs $2.2, for B each bulb costs $2.1666.
11/5=2.2
13/6=2.1666
what are square meters
Suppose you deposit $275.00 in your savings account on December 31. Your bank pays 3 percent annual interest on savings accounts. If you do not deposit any more money into the account, what would be the balance on December 31 of the following year?
Answer:
275 * 0.03 = accrued interest
accrued interest + initial deposit = total after one year
Step-by-step explanation:
Fifty students are trying to raise at least $12.500 for a class trip
They have already raised $1,250. How much should each
student raise, on average. in order to meet the goal? Write and
solve the two step inequality for this problem.
Answer:
$225
Step-by-step explanation:
Well I hope this helps
12,500 - 1,250 (because they have already raised this amount) = 11, 250 (this is the amount they need)
11,250 ÷50 = 225
are the expression -7 + -2 and -7 - 2 equivalent why or why not? include the solutions for each expression for full credit
Answer:
Yes, they are both equal.
Step-by-step explanation:
This is because in both cases, you are subtracting, -7 + -2 = -9. -7 - 2 = -9.
what is the measure of angle A?
Answer:
60
Step-by-step explanation:
60 plus 60 plus 60 is 180
has to add up to 180
1) Point P has the coordinates (5,7) what is the image of P' after a 90-degree Rotation? 2) Point P has the coordinates (5,7) what is the image of P' after a 180-degree Rotation? 3) Point P has the coordinates (5,7) what is the image of P' after a 270-degree Rotation? 4) Point A has the coordinates (-5,7) what is the image of A' after a 90-degree Rotation? 5) Point Q has the coordinates (5,7) what is the image of Q' after a 270-degree Rotation? 6) L' (6,-7) is the image of L after a 180 rotation what are the original coordinates L 7) The point A (-5,-8) is first translated 6 units to the right and two units down to get A'.A' is then reflected in the y=-x line to get A''.A'' is then rotated counterclockwise around the origin 270 degrees to get A'''.What are the coordinates of A'''?
Answer:
1) The coordinates of P' is (7, -5)
2) The coordinates of P' is (-5, -7)
3) The coordinates of P' is (-7, 5)
4) The coordinates of A' is (7, 5);
5) Q' is (-7, 5)
6) The coordinates of L is (-6, 7)
7) The coordinates of A''' is (1, 10)
Step-by-step explanation:
1) The coordinates of a preimage (x, y) after 90-degrees clockwise rotation gives the image (y, -x)
Therefore, given that the preimage P is (5, 7), we have the image, P', after 90 degrees clockwise rotation is (7, -5);
2) The coordinates of a preimage (x, y) after 180-degrees clockwise rotation gives the image (-x, -y)
Given that the preimage, point P, has coordinates (5, 7) the image, P', after 180-degrees rotation becomes (-5, -7)
3) The coordinates of a preimage (x, y) after 270-degrees clockwise rotation gives the image (-y, x)
∴ The coordinates of the preimage, P = (5, 7), after 270-degrees clockwise rotation gives the image, P', = (-7, 5)
4) The coordinates of a preimage (x, y) after 90-degrees clockwise rotation gives the image (y, -x)
Therefore, given that the preimage A is (-5, 7), we have the image, A', after 90 degrees clockwise rotation is (7, 5);
5) The coordinate of the preimage, point Q is (5, 7) after 270-degrees clockwise rotation gives the image, Q', = (-7, 5)
6) The image of a preimage, (x, y) after 180-degrees rotation is (-x, -y). Therefore, given that the image of the preimage L, after 180 degrees rotation is L' (6, -7), we have the coordinates of L is (-6, 7)
7) The coordinates of the preimage, A = (-5, -8)
a) A is translated 6 units to the right and 2 units to give;
A'(-5 + 6, -8 - 2) = A'*1, -10)
b) (x, y) is reflected across the line y = -x, to give (-y, -x)
∴ A'(1, -10) is reflected across the line y = -x, A''(10, -1)
c) The coordinates of a preimage (x, y) after 270-degrees clockwise rotation gives the image (-y, x)
∴ The coordinates of the preimage, A''(10, -1), after 270-degrees clockwise rotation gives the image, A'''(1, 10).
What is the equation of the linear function represented by the table?
x:
-5
-2
1
4
y:
14
11
8
5
a. y=-x+9
b. y=-x+13
c.y=x+13
d. y=x+9
Answer:
I can't read that
Step-by-step explanation:
171 ÷ 9 =
1 point
( 9x 10) + (9 x 9) = 171; 9 x 19= 171
(9 x 10) + (9 x 10) = 180 ; 90 x 2 =180
( 6 x3) + (4 x 6) =42 ; 7 x 6 = 42
( 9 x5) + (8 x 6) =93 ; 31 x 3 = 93
Submit
an exponential function is graphed on the grid
based on the graph, which statement about the function is true
a) the domain is the set of all real numbers
b) the domain is the set of all real numbers less than 3
c) the range is the set of all real numbers greater than or equal to 0
d) the range is the set of all real numbers greater than or equal to -9
Answer:
a) the domain is the set of all real numbers
Step-by-step explanation:
Given:
An exponential function and its graph.
A line parallel to [tex]x[/tex] axis is drawn at [tex]y=-9[/tex] which is a dashed line.
Dashed line means, the function does not attain a value equal to [tex]y=-9[/tex].
Domain of a function, [tex]y=f(x)[/tex] is the set of values which can be possible for the variable [tex]x[/tex] that can be given as input.
Range of a function, [tex]y=f(x)[/tex] is the set of possible values of [tex]y[/tex] i.e. the output of the function.
As seen from the graph, the domain of the exponential function does not have any constraint on it.
Therefore, any real number can be given as input.
So, a) The domain is the set of all real numbers.
Let us discuss about the range of function.
As stated above as well, the range of the function can not contain the value [tex]y=-9[/tex].
And there is no value possible below it.
So, the range is all real numbers greater than -9.
The answer is:
"a) the domain is the set of all real numbers" is true.
In school ,there are 3 girls for every 2 boys . There are 650 students in total . How many students are girls ?
Answer:
Girls = 390
Step-by-step explanation:
Set up a proportion:
In a sample of 3:2, you have 5 kids in all.
So the the ratio of girls to kids in a sample of 5 is 2:5.
So set up a proportion:
(3/5) = (x/650)
5x = 650(3)
5x = 1950
x = 390
Answer:
390Step-by-step explanation:
Let number of boys be b and girls be g. Then we have:
g/b = 3/2g + b = 650From the first equation b is:
b = 2g/3Substitute b in the second equation
g + 2g/3 = 6505g/3 = 650g = 650*3/5g = 3902. Below are the graphs of y = |x| and y = |x| + 11. How are the graphs related?
10
10-8
10
a. The two graphs are the same.
b. The graphs have the same y-intercept. The second graph is steeper than y = |xl.
C. The graphs have the same shape. The y-intercept of y = x is 0 and the x-intercept of the
second graph is 11.
d. The graphs have the same shape. The y-intercept of y = x is 0 and the y-intercept of the
second graph is 11.
(-5.975)(16.59) muiltilpy
Answer:
-99.12525
Step-by-step explanation:
Answer:− 99.12525
Step-by-step explanation:
I multiplied it