Answer:
a(66) = -10 + 17(65) = 1095
Step-by-step explanation:
We know that this is an arithmetic sequence. Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17. Thus, the common difference, d, is 17. The first term is -10.
The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).
Substituting -10 for a(1) and 17 for d, we get:
a(n) = -10 + 17(n - 1)
Now let n = 66: a(66) = -10 + 17(66 - 1), or a(66) = -10 + 17(65) = 1095
Line A is represented by the following equation: x + y = 2
What is most likely the equation for line B so the set of equations has no solution?
Answer:
[tex]ax+ay=k; a\ne0, k\ne2a[/tex]; line D in the options.
Step-by-step explanation:
The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!
The condition [tex]a\ne 0[/tex] makes sure you are still getting lines (else you would get rid of both x and y); the condition [tex]k\ne 2a[/tex] makes sure you're not picking line A again, just written in a different form.
Now that we have the options:
A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.
Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.
Line D is correct.
what each word means, in your own words
Please help at least by defining in your own words 3 or more.
Rotation
Transformation
Translation
Dilation
Angle of Rotation
Line of Reflection
Rotation - Rotation is a plane transformation that rotates every point in a figure through a given angle and direction on a fixed point.
Transformation - Transformation is a process that alters the shape and or position of a point, a line, or a geometric figure.
Translation - Translation occurs when a figure is relocated from one position to another without changing its size, shape, or orientation.
Dilation - Dilation is a transformation that alters the size of a figure, whether enlarging or shrinking it, but it has no effect on the shape of the figure.
Angle of Rotation - Angle of Rotation is the amount that a figure is rotated about a fixed point referred to as the point of rotation.
Line of Reflection - Line of Reflection is a transformation in which each point in a shape appears at an equal distance on the opposite side of a given line.
Hope this helps!!
3. Kyle and Michael a rup a lap around a track. Kyle gets a 50 a meter head start and runs 3 meters
per
second. Michael runs at a speed of 4 meters per second. How long will it take for Michael
to reach Kyle?
Answer:
50 second
Step-by-step explanation:
let the distance between Michael and kyle (s)
s= 50 m
we want to know how long it takes for Michael(speed 4 m/s ) to reach kyle(3m/s)
v = s/t
t = s/v
Vm = speed of Micheal
Vk = speed of kyle
v = ( Vm - Vk )
t = 50/(4-3) = 50 second
Write an expression to represent:
Eight minus the quotient of two and a number xx
Answer:
8-(2/x)
Step-by-step explanation:
How to simplify and multiply fractions.
Answer:
*Find a number on top of the fractions and a number on the bottom of the fractions that can both be divided by the same number.
*Divide both numbers in the fractions by this number.
*Write the answers to this division in the place of the original numbers in the fraction.
3. Daysmir is solving the inequality 15 - x < 14. He knows the solution to the equation
15 - x = 14.
How should Daysmir determine whether x > 1 or x < 1is the solution to the inequality
and which solution set is right?
Answer
ask a teacher
Step-by-step explanation:
if you want to learn the anwer it hard for me to exlpain but if you ask the teacher she will explain to you more better then i will
Mr.Thomson wants to protect his garage by installing a flood barrier. He connects 2 barriers side by side. Each barrier is 9 feet high. What is the combined area of the barriers
Answer:
300 ft
Step-by-step explanation:
A store had a 20% off
Black Friday sale. One item was
originally $75. How much was it on
sale for
Answer:
$60
Step-by-step explanation:
20% off means 80% of original price
80% = 8/10 or 0.8
75 * 0.8 = 60
you could also do 20% = 1/5, 1/5 of 75 is 15, 75-15=60
Evaluate. 8.1÷0.9+0.43÷0.8⋅30 Enter your answer as a decimal in the box.
Answer: The answer is 25.125
Graph the line with slope 1 passing through the point (2, 4). make an actual graph. help plis 21 point!
Answer:
y=x+2
Step-by-step explanation:
since the slope is 1, we have y=x +b. now plug in the point (2,4) to get 4=2+b, b=2, so the graph is y=x+2
Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6. PLS HELP
Answer:
x=m-7-6
Step-by-step explanation:
Two cubes are of sides 6 inches and 8 inches respectively. Find the ratio of (a) their sides, (b) their areas on one face, (c) their volumes.
Answer:
a. the ratio of the sides is 6: 8, or 3:4
b. the ratio of the surfaces is [tex]\frac{6\times 6}{8\times8}[/tex] or 9:16, the square of the ratio of the sides.
c. the ratio of the volumes is [tex]\frac{6\times6\times6}{8\times8\times8}[/tex] or 27:64, the cube of the ratio of the sides.
Hey everyone i would appreciate a step by step explanation. Also the actual question was written in mixed number form i just converted it into improper fractions.
10/9 + 56/27
Answer:
86/27 or 3 5/27
Step-by-step explanation:
10/9 is nothing but 30/27 (multiply the numerator and denominator by 3/3)
By adding 30/27+56/27, we get 86/27, which is our final answer
e^ln(5x) =
5x
ln(5)
5ln(x)
ln(x)
Answer:
5x
Step-by-step explanation:
The natural log of 5x is the exponent to give e to get 5x as a result. You are simply applying the definition of logarithm
The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.
Option: A is correct.
Here, we have,
The expression [tex]e^{ln(5x)[/tex] involves two important mathematical properties:
[tex]e^{ln(x)} = x[/tex]:
This is a fundamental property of the natural logarithm and the base of the natural exponential function, e.
When the natural logarithm (ln) and the natural exponential function [tex](e^x)[/tex] are composed, they "cancel out," and the result is the argument inside the ln function (x).
[tex]e^0 = 1[/tex]:
The natural exponential function raised to the power of 0 is equal to 1.
Now, let's simplify the expression step by step:
[tex]e^{ln(5x)[/tex]
Using property 1,[tex]e^{ln(5x)[/tex] simplifies to:
5x
Therefore, the correct option is "5x."
The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.
Option: A is correct.
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14. Which of the following relations has an inverse that is not a function?
(1,1),(1,2).(3,4)
(1,2).(1,3),(4,3)
(1,4),(4,5),(5,6)
(0,0),(1,1),(2, 2)
Answer:
(1,2).(1,3),(4,3)
Step-by-step explanation:
The inverse of (1,2).(1,3),(4,3) is (2, 1), (3, 1), (3, 4) and this is not a function as a function is a set X to a set Y, not multiple to one.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
10. What is the value of c?
Answer:
VALUE OF C = SUCK IT BRO
Step-by-step explanation:
Find the perimeter of the rectangle
Answer:
Perimeter: 4x+14
Step-by-step explanation:
The Formula for perimeter is P = 2L + 2W
So apply it:
L = x+7
W = x
[tex]P=2x+2\left(x+7\right)[/tex]
[tex]P=4x+14[/tex]
Can you help me please?
Answer:
B
Step-by-step explanation:
The Pythagoras theorem states that [tex]c^{2} = a^{2} + b^{2[/tex], where [tex]c[/tex] is the hypotenuse and a and b are the adjacent and opposite sides of the hypotenuse. If we made [tex]a[/tex] the subject of the expression, the expression will be re-written as [tex]a^{2} = c^{2} - b^{2}[/tex], which is the correct answer.
HELP!!!!What is 1/4 turned into a decimal I REALLY NEED HELP BEFORE MY TEACHER GIVES ME A BAD GRADE
Answer:
0.25
Step-by-step explanation:
Answer:
→1/4 as a decimal is 0.25
(I hope you get this answer correct, and also hope you have a great day or night! :)).
yoo I don't understand this pls help :))
geometry
Answer:
At the bottom of the text.
Step-by-step explanation:
The triangle is isosceles. The measure of the two internal angles J and K are equal; The misure of the external K angle (2) is half a circle minus the internal K (1). The internal angle in R is calculated by difference between 180 and twice the internal K angle (1).
1. 72° as well.
2. 180-70-70 = 40°
3. [tex]m\angle2 = 110 \rightarrow m\angle1 =70[/tex], Same as #2: 40°
4. [tex]x+2x+2x = 180 \rightarrow 5x=180 \righarrow x= 36[/tex]
5. [tex]x +(x+30)+(x+30) = 180 \rightarrow 3x +60 = 180 \rightarrow 3x= 120 \rightarrow x=40[/tex]
Slove system of equation.
2x - 6y = 8
-3x + 9y = 12
the quotiont of a number and 12 -3 = -4
Answer:
the answer would probably be the -3
Answer:
the number is -12
Step-by-step explanation:
Write this word expression in symbolic expression:
Let the number be n. Then the quotient of n and 12, less 3, is -4, or
n
------- -3 = -4
12
n
Combining the negative integers, we get: -------- = -1
12
and so n = -1(12) = -12
the number is -12
A washer and a dryer cost $1000 combined. The cost of the washer is $175 more than the cost of the dryer. Determine the cost of the washer and the cost of the dryer.
Answer:
washer is 587$
Step-by-step explanation:
1000 - 175
825
825 divided by 2 than add 175 to the washers half
the cost of the washer is $587.5, and the cost of the dryer is $412.5.
Let's assume the cost of the dryer is "x" dollars.
According to the information given, the cost of the washer is $175 more than the cost of the dryer. So, the cost of the washer can be represented as "x + $175" dollars.
The combined cost of the washer and the dryer is $1000. Therefore, we can write the equation:
Cost of washer + Cost of dryer = $1000
(x + $175) + x = $1000
Now, let's solve for "x":
2x + $175 = $1000
Subtract $175 from both sides:
2x = $1000 - $175
2x = $825
Now, divide both sides by 2 to find the value of "x":
x = $825 / 2
x = $412.5
So, the cost of the dryer is $412.5.
Now, let's find the cost of the washer:
Cost of washer = Cost of dryer + $175
Cost of washer = $412.5 + $175
Cost of washer = $587.5
Therefore, the cost of the washer is $587.5.
In summary, the cost of the washer is $587.5, and the cost of the dryer is $412.5.
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A box of cereal states that there are 96 calories in a
3
4-cup serving. What is the unit rate for calories per cup? How many calories are there in 3 cups of the cereal?
Answer: 96
Step-by-step explanation:
96/3 = 32 per cup 32 x 3 = 96
I need help
Given f(x)=-x+6 write an equation for f(x-2)
Answer:
f(x - 2) = - x + 8
Step-by-step explanation:
Substitute x = x - 2 into f(x)
f(x - 2) = - (x - 2) + 6 = - x + 2 + 6 = - x + 8
1 point
10. Lisa owns a small business. There was a loss of $14 on Monday and a
profit of $18 on Tuesday. On Wednesday there was a loss of $6 and on
Thursday there was a profit of $7. Find the total profit or loss.*
$15 profit
$45 loss
$5 profit
$10 profit
Answer:
$5 in profit
Step-by-step explanation:
simple math
-8x+60=28 word problems pls
A train left the station. It traveled 30 miles and dropped off passengers. Then it turned around and traveled 15 miles. Write an integer that shows how far it is from the station.
A rubber ball is dropped from a height of 5 feet and bounces to 1/3 of its height after each fall. If it continues to bounce until it comes to rest, find the total distance in feet it travels.
Answer:
7ft
Step-by-step explanation:
Last month, a carpenter made 2 tables. This month, he made 50% fewer tables. How many tables did the carpenter make this month?
Answer:
1
Step-by-step explanation:
2 divided by 2
Answer:
1 table
Step-by-step explanation:
2 x 0.5 = 1
Hope this helps!