The solution for x in the equation is x = 2
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the solution of the equation?The equation is given as
x + 4 = 6
Subtract 4 from both sides of the equation
So, we have
x + 4 - 4 = 6 - 4
Evaluate the like terms
So, we have
x = 2
Hence, the solution for x in the equation is x = 2
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604,542+87,106 estimated
Answer:
the answer is to the question is 691648
HELP!! This is due tomorrow! This is Algebra 2!
6i^12+7i^22
================================================
Work Shown:
Recall that the imaginary number i has the definition of [tex]i = \sqrt{-1}[/tex]
List out the first few powers of i
i^0 = 1i^1 = ii^2 = -1i^3 = -ii^4 = 1I'm skipping steps when I listed out those terms, so let me know if you need to see them.
The process repeats every 4 items. This means we'll divide the exponent by 4 to look at the remainder.
Let's do that for the first exponent
12/4 = 3 remainder 0
The remainder 0 tells us that i^12 = i^0 = 1
Also,
22/4 = 5 remainder 2
The remainder 2 means i^22 = i^2 = -1
-------------------
In short: i^12 = 1 and i^22 = -1
which means 6i^12 + 7i^22 = 6(1) + 7(-1) = -1
Can the cube of an integer be a negative number? Explain.
Answer: yes only if the number is negative itself.
Step-by-step explanation: [tex]-3^{3}[/tex] = -27
explanation: -3 x -3 x -3 = 9 x -3 = -27
21(x + 1) - 6x = 15x + 21
Answer:
15x = 15x
or
0 = 0
Step-by-step explanation:
21(x + 1) - 6x = 15x + 21
21x + 21 -6x = 15x + 21
21x - 6x = 15x
15x = 15x
or
0 = 0
this equation is always true
8 3/7 x 7 2/15 Add. Express your answer in lowest terms.
Answer:
Step-by-step explanation:
Step 1: Convert
8 3/7= 43/5
7 2/15= 10/15
Step 2: Multiply
43×107=4601
----------
5×15=75
[tex]\frac{4601}{75}[/tex]
Step 3: Convert to an improper fraction
[tex]\frac{4601}{15}= 61\frac{26}{75}[/tex]
Hence, our answer is 61 26/75
Steve has $5. Nancy has 250% as much money as Steve. How much money does Nancy have?
The amount of money Nancy has is $12.5.
Given that, Steve has $5. Nancy has 250% as much money as Steve.
We need to find out how much money Nancy has.
What is the percentage?A specific portion or amount in every hundred is what is meant by the term percentage. It is a fraction with the denominator 100, and the symbol for it is "%."
Let the amount of money Nancy has to be x.
Now, x=250% of 5
=250/100 × 5
=2.5 × 5
=12.5
Therefore, the amount of money Nancy has is $12.5.
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. Barney Mullins' regular pay rate is $14.85 an hour. He is paid time-and-a-half
for hours worked over 40 hours in a week, including weekend work. He worked
these hours from Monday through Saturday last week: 8.2, 8.9, 10.1, 9.6, 8.8,
6.7. What was his gross pay for the week?
The gross pay for the week is $776.66.
How to calculate the pay?From the information, he worked these hours from Monday through Saturday last week: 8.2, 8.9, 10.1, 9.6, 8.8, and 6.7.
Therefore, the gross pay will be:
= (8.2 + 8.9 + 10.1 + 9.6 + 8.8 + 6.7) × $14.85
= 52.3 × $14.85
= $776.66
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Mary is going for a 3.5 km walk.
So far she’s walked 1.55 km through the park, 0.6 km across the bridge, and 0.35 km up the hill.
What fraction of the walk does she have left?
Mary has left with a 1 kilometer i.e. [tex]\frac{2}{7}[/tex] of the journey is incomplete
Given that Mary is going for a 3.5 km walk. So far she’s walked 1.55 km through the park, 0.6 km across the bridge, and 0.35 km up the hill and asked to find the fraction of the walk she has left
Total journey distance = 3.5 kilometers
Distance walked by mary on the bridge=0.6 kilometers
Distance walked by mary through the park=1.55 kilometers
Distance walked by mary up the hill=0.35 kilometers
Total distance traveled by mary=(0.6+1.55+0.35)kilometers
Total distance traveled by mary=2.5 kilometers
The distance left=3.5 kilometers-2.5 kilometers
The distance left=1 kilometer
1 kilometer is [tex]\frac{2}{7}[/tex] of the journey by assuming 3.5 kilometer will complete the jouney
Therefore, Mary has left with a 1 kilometer i.e. [tex]\frac{2}{7}[/tex] of the journey is incomplete
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is it true that perpendicular lines meet one another at 100°
Answer:
No, it is not true.
Perpendicular lines meet one another at 90°.
Answer:
It is false
Step-by-step explanation:
It is false because perpendicula line meet in 90 degree
Write the linear function y that has the given function values.
f(−6) = −7, f(1) = 2
The equation of this linear equation is f(x) = 9/7(x - 1) + 2
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the linear equation?The given parameters are
f(−6) = −7, f(1) = 2
Start by calculating the slope (m) using
m = [f(-6) -f(1)]/[-6 - 1]
This gives
m = [-7 - 2]/[-6 - 1]
Evaluate
m = 9/7
The linear equation is then calculated as
f(x) = m(x - x1) + f(1)
So, we have
f(x) = 9/7(x - 1) + 2
Hence, the equation of this linear equation is f(x) = 9/7(x - 1) + 2
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pls help me and no spam the question is on the screenshot
Based on the fact that the shape of the given square is dilated with a scale factor, the result would be the first square with a dimension of 3.
What is the dilated shape?The Dilation is to be with a scale factor of 1/3.
This means that the dimensions on the new shape will be:
= Dimensions on original shape x scale factor
= 9 x 1/3
= 9/3
= 3
Dilation does not change the shape of an object so the result of the Dilation would be the first square with a side measurement of 3.
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Question 5(Multiple Choice Worth 1 points) (01.05 LC) Which of the following is an equivalent form of the compound inequality -22 -5x - 72-33? -5x - 7-22 and -5x - 72-33 O-5x - 7-22 and -5x - 72 −33 O-5x = -22 and -7 2 -33 -5x 7-22 and -5x - 7 ≤ -33
The equivalent form of the compound inequality where the compound inequality is given as -22 > -5x - 7 ≥ -3 is -15 > -5x ≥ 4
How to determine the equivalent form of the compound inequality?The compound inequality is given as
-22 > -5x - 7 ≥ -3
Add 7 to all sides of the compound inequality
So, we have
7 -22 > -5x - 7 + 7 ≥ -3 + 7
Evaluate the sum in the above compound inequality
So, we have
-15 > -5x ≥ 4
Hence, the equivalent form of the compound inequality where the compound inequality is given as -22 > -5x - 7 ≥ -3 is -15 > -5x ≥ 4
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PLEASE HELP ME FAST
An article claimed the state's typical price of a gallon of gasoline is $2.69. The prices from 5 gas stations surveyed were $2.79, $2.99, $2.69, $2.89, and $2.69.
According to this data, what is wrong with the article's statement?
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
How to determine what is wrong with the data?The prices from 5 gas stations surveyed are given as:
$2.79, $2.99, $2.69, $2.89, and $2.69.
There are no outliers in the dataset
So, the dataset can be summarized by the mean
The mean is
Mean = Sum/Count
So, we have
Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5
Evaluate
Mean = 2.81
The article quoted $2.69 as the typical price
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
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Please help…………………..
What is the relationship between the volume and surface area of the sphere shown?
V>SA
OV
OV=SA
Answer: mark as brainliest please
Step-by-step explanation:
V=4/3 x 3.14 x 3^3
V= 113.04
SA= 4 x 3.14 x 3^2
SA= 113.04
For the point P(13,
14) and Q(18, 9), find the distance
d(P,Q) and the coordinates of the midpoint M of the
segment PQ
given points P( 13 ,14) and Q( 18,9 )
we have to calculate distance
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}d = distance(x_1, y_1) = coordinates of the first point(x_2, y_2) = coordinates of the second point[/tex]
d= [tex]\sqrt{( 18-13)^2+(9-14)^2}[/tex]
d=5[tex]\sqrt{2}[/tex]
now calculating midpoints
s= 13+18 /2 =31/2
t= 14+9 / 2= 23/2
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Write an equation letting
x
be the unknown number.
two subtracted from a number is 2.
Answer: x-2=2 (x=4)
Step-by-step explanation:
4 minus 2 equals 2
William needs a box to hold his golf ball collection. He found a box that can fit 8 layers with 14 balls in each layer. How many golf balls cab this box hold
The box will be able to hold 112 balls
How to calculate the number of balls the box will hold ?Williams needs a golf box to hold his collection of balls
He discovered that 8 layers can fit in a box and each of these 8 layers can hold 14 balls
Therefore the number of golf balls the box can hold can be calculated as follows
= 8 × 14
= 112
Hence the box can hold 112 balls
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HELP NOWWW!!!!! PLEASE
Question content area top Part 1 The coordinates of point T are (0,6). The midpoint of is (4,-6). Find the coordinates of point S. Question content area bottom Part 1 The other endpoint is enter your response here. (Type an ordered pair.)
Answer:
The end point is (8,-18)
Step-by-step explanation:
Divide the following and then check by multiplying.
48,845
405
Answer:
The given Divisor = 405 and Dividend = 48849
The Quotient is 120 and the Remainder is 249
Hope it helps you
All cookies are made with sugar Oreos are a cookie so Rosa knows Oreos are made with sugar
Is it Inductive or deductive
All cookies are made with sugar Oreos are a cookie so Rosa knows Oreos are made with sugar is Inductive.
A cookie is a compact, flat, and sweet baked or cooked snack or dessert. It is often made using flour, sugar, an egg, and some kind of oil, fat, or butter. Other components such as raisins, oats, chocolate chips, almonds, and so on may be used.
Sandwich biscuits with marshmallows or jam filling and often dipped in chocolate or another sweet coating, such as custard creams, Jammie Dodgers, Bourbons, and Oreos, are examples of biscuit or cookie varieties. Cookies are frequently served with liquids such as milk, coffee, or tea, and are occasionally "dunked," a method of releasing more flavor from confections by diluting the sugars and reducing their texture.
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Can someone ppl me lease help me with this question and not text me ab random stuff… :/
Answer:
{2,3,5,6,8}
Step-by-step explanation:
U={1,2,3,4,5,6,7,8}
A{3,4,5,6}
B{1,4,8}
C{2,3,4,5,6}
We are to find
{A' n B} U {A' n C'}
={3,5,6,8}. U. {2}
= {2,3,5,6,8}
A crab moves at a speed of 0.14 kilometers per hour. How far can it travel for 0.25 hours?
Answer:
0.14×0.25= 0.035 KM
so it can travel 0.035KM in 0.25 hr
Answer:
0.035 kilometers
Step-by-step explanation:
Proportions:
0.14 kilometers ⇒ 1 hour
A kilometers ⇒ 0.25 hour
A = 0.14 kilometers * 0.25 hour / 1 hour
A = 0.035 kilometers
HURRYYY: How many times smaller is 5 x 10−7 than 8.5 x 10−4?
A: 59
B: 170
C: 1,700
D: 5,882
Answer:
1,700
Step-by-step explanation:
5x10^-7 is 0.0000005, while 8.5x10^-4 is 0.00085
0.00085/0.0000005=1700
Thus5 x [tex]10^{-7}[/tex] is 1700 times smaller than 8.5 x [tex]10^{-4}[/tex].
Option C is the correct answer.
Given,
5 x [tex]10^{-7}[/tex] and 8.5 x [tex]10^{-4}[/tex]
We need to find how many times smaller is 5 x [tex]10^{-7}[/tex] than 8.5 x [tex]10^{-4}[/tex].
What are exponents?Exponents are the power of a given number.
Example: a²
a - base
2 - exponent
Compare 5 x [tex]10^{-7}[/tex] and 8.5 x [tex]10^{-4}[/tex].
5 x [tex]10^{-7}[/tex] can be written as 5 / 10000000
8.5 x [tex]10^{-4}[/tex] can be written as 8.5 / 10000
Now,
5 / 10000000 = 0.0000005
8.5 / 10000 = 85 / 100000 = 0.00085
We see that,
0.0000005 is less than 0.00085
Now,
0.0000005 x 1700 = 0.00085
5 x [tex]10^{-7}[/tex] is 1700 times smaller than 8.5 x [tex]10^{-4}[/tex].
We can also write as:
5 x [tex]10^{-7}[/tex] x 17 x 10 ²
= 5 x 17 x [tex]10^{-7}[/tex] x 10²
= 85 x [tex]10^{-7 + 2}[/tex]
= 85 x [tex]10^{-5}[/tex]
= 85/10 x 10 x [tex]10^{-5}[/tex]
= 8.5 x [tex]10^{-5 + 1}[/tex]
= 8.5 x [tex]10^{-4}[/tex]
Thus 5 x [tex]10^{-7}[/tex] is 1700 times smaller than 8.5 x [tex]10^{-4}[/tex].
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Help, please
Simplify:
Answer:
will be 1
Step-by-step explanation:
..............
Answer:1
Step-by-step explanation:
an angle measures 2.8 degrees more than the measure of its supplementary angle. what is the measure of each angle?
The measure of each of the supplementary angles are: 88.6° and 91.4°.
What are Supplementary Angles?Based on the definition of supplementary angles, the sum of two angles that are supplementary equals 180 degrees.
Given the following:
Let one of the angles equal x
The second angle would be expressed as: x + 2.8
Therefore, we would have the equation:
x + 2.8 + x = 180 [supplementary angles]
2x + 2.8 = 180
2x = 180 - 2.8
2x = 177.2
x = 177.2/2
x = 88.6
Thus:
One of the angles = x = 88.6°
Th second angle is: x + 2.8 = 88.6 + 2.8 = 91.4°
Therefore, the measure of each of the supplementary angles are: 88.6° and 91.4°.
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5h+2(11−h)=−5 what is h
Answer:
-9
Step-by-step explanation:
5h+2(11−h)=−5
5h + 22-2h = -5
3h = -27
h = -9
michael read 135 pages in 90 minutes. select all of the rates that have the same constant rate of change as michael's rate.
#1) 180 pages in 2 hours?
#2) 60 pages in 30 minutes?
#3) 108 pages in 2 1/2 hours?
#4) 150 pages in 1 hour?
#5) 225 pages in 150 minutes?
#6) 210 pages in 2 hour 2 minutes?
Answer:
#1) & #5) are the rates that have the same constant rate of change as Micheal's rate.
can some please explain to me how my teacher get to the part that i highlight. (2^-5)^-3x i'm so lost someone please explain
Answer:
see explanation
Step-by-step explanation:
using the rules of exponents
[tex]\frac{1}{a^{m} }[/tex] = [tex]a^{-m}[/tex]
then
[tex]\frac{1}{32}[/tex] = [tex]\frac{1}{2^5}[/tex] = [tex]2^{-5}[/tex]
and
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , so
[tex](2^{-5}) ^{-3x}[/tex]
your history teacher gives you a list of eight study questions. five of the eight will be on the test how many combinations of five can the teacher choose from the eight questions
The number of combinations of five can the teacher choose from the eight questions is 56
How to determine the number of combinations?The given parameters are
Total questions, n = 8
Selected question, r = 5
The number of combinations of five can the teacher choose from the eight questions is calculated using
Combination = [tex]^nC_r[/tex]
This gives
Combination = [tex]^8C_5[/tex]
Apply the combination formula
Combination = 8!/3!5!
Evaluate
Combination = 56
Hence, the number of combinations of five can the teacher choose from the eight questions is 56
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