Answer:
Step-by-step explanation:
how do i solve this absolute value equation |x-2| + 5 = 2?
Answer:
No solutions
Step-by-step explanation:
First, isolate the absolute value:
|x-2| + 5 = 2
|x - 2| = -3
An absolute value can never equal to a negative number
So, there are no solutions
Question 1
H
Write the slope intercept form for the equation of the line.
Do not leave spaces in your equation and do not use the WIRIS editor to enter you
Answer:
x=3
Step-by-step explanation:
slope: (y² - y¹) / (x² - x¹)
(3, 0) & (3, 1)
(1 - 0) / (3 - 3) = 1 / 0
undefined = vertical line
PLEAE HELP ME OUT HURRY!!!
Angle Relationship:
Angle m=
Angle k=
Angle h=
Angle p=
Angle q=
Angle f=
Angle g=
Angle s=
Angle r=
Angle u=
Angle v=
Answer:
m = 123°
k = 57°
h = 123°
p = 99°
q = 81°
f = 99°
g = 81°
s = 42°
r = 57°
u = 57°
v = 123°
Step-by-step explanation:
Using basic angle relationships, we should be able to tell these angles easily.
If the 57° is supplementary to m, then m will be [tex]180 - 57 = 123[/tex] degrees.
k is also supplementary to m, so k is [tex]180-123=57[/tex] degrees - we also know this because it is an alternate interior angle to the other 57°.
h is an alternate interior angle to m, so h is the measure of m : 123°.
q is the same measure as the 81° angle, since they are corresponding angles. q is also 81°.
p is supplementary to q, so p is [tex]180-81=99[/tex] degrees.
f is an alternate interior angle to p, so f is also 99°.
g is also an alternate interior angle to q, so g is 81°.
The measure of s will be [tex]180-k-g[/tex] since all 3 sides of a triangle add up to 180°: so [tex]180-57-81=42[/tex] degrees.
r will be supplementary to the 81° angle and s, 42, so r is [tex]180 - 81 - 42=57[/tex] degrees.
u is an alternate interior angle to r, so u is also 57 degrees.
v is supplementary to u, so v will be [tex]180-57=123[/tex] degrees.
Hope this helped!
Bessy has 6 times as much money as Bob, but
when each earns $6, Bessy will have 3 times as
much money as Bob. How much does each have before
and after earning the $6?
Answer:
Before: Bob, $4; Bessy, $24After: Bob, $10; Bessy, $30Step-by-step explanation:
Let x represent the amount of money Bob starts with. Then Bessy starts with 6x. After they have each earned $6, the relationship of their amounts is ...
(6x +6) = 3(x +6)
6x +6 = 3x +18
3x = 12
x = 4
Bob starts with $4; Bessy with $24.
After earning $6, Bob has $10; Bessy has $30.
Help! need the answer
Answer:
D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1
Step-by-step explanation:
You need to subtract g(x) from f(x).
(f - g)(x) = f(x) - g(x) =
= 4x^3 + 7x^2 - 2x - 1 - (4x - 2)
Distribute the negative sign at the left of the parentheses as you would distribute a -1. Every sign inside the parentheses changes.
= 4x^3 + 7x^2 - 2x - 1 - 4x + 2
Combine like terms.
= 4x^3 + 7x^2 - 6x + 1
Answer: D. (f - g)(x) = 4x^3 + 7x^2 - 6x + 1
Answer:
4x^3+7x^2-6x+1
Step-by-step explanation:
f(x) = 4x^3 +7x^2 -2x-1
g(x) = 4x-2
f(x) - g(x) = 4x^3 +7x^2 -2x-1 - ( 4x-2)
Distribute the minus sign
4x^3 +7x^2 -2x-1 - 4x+2
Combine like terms
4x^3+7x^2-6x+1
the equation of a circle whose center is at (1, 2) and radius is 5 is
Answer:
(x − 1)² + (y − 2)² = 25
Step-by-step explanation:
Equation of a circle is (x − h)² + (y − k)² = r², where (h, k) is the center and r is the radius.
Of the 80 trees planted, 2 out of 5 survived the winter. How many trees died during the winter?
Answer:
48 died
Step-by-step explanation:
2 out of 5 survived that means 5-2 = 3
3 out of 5 died
Multiply that fraction that died by the total number
3/5 * 80
48
does a regular pentagon tessellate and why
Answer:
No, a regular pentagon does not tessellate.
In a tessellation, all the angles at a point have to add to 360 degrees, as this means there is no overlap, nor are there gaps. To find the interior angle sum of a pentagon, we use the following formula:
(n-2)*180 (where n is the number of sides)
We plug in the number of sides (5) and get:
Angle sum = (5–2)*180
Angle sum = 3*180
Angle sum = 540
Regular pentagons have equal sides and equal angles, so to find the size of the interior angle of a pentagon, we divide the angle sum by 5 and get 108 degrees for every angle.
As I said before, the angles at a point need to add up to 360, so we need to know if 108 divides evenly into 360. If it does, the shape tessellates, and, if it doesn’t, the shape does not.
360/108 = 3.33333…
This means that a regular pentagon does not tessellate.
Hope this helps!
How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked? Translate into expression, I will award brainiest!
Answer:
21h
Step-by-step explanation:
we know that
Speed = distance / time, and as such
distance = speed * time
From the question, we are given that ...
He biked for h hrs -> b
He walked for 2 * b = 2h -> w
He ran for (1/4)(w) = 1/4 * 2h = 1/2 h -> r
The total distance traveled will then be
total distance = distance biked + distance walked + distance ran
recall that we stated that
d = s * t, now we'd apply that here
distance biked = 10 * h = 10h
distance walked = 3 * 2h = 6h
distance ran = 10 * 1/2h = 5h
total distance = 10h + 6h + 5h
Total distance = 21h
find pricipal when amount is rupee 4624 at6% and two yrs time ....
Answer:
Rs. 4128.57
Step-by-step explanation:
Given:
Principal = xAmount after 2 yrs = Rs. 4624Rate = 6% PASolving for x:
x + 2*6% of x = 4624x + x*12%/100 = 4624x*1.12 = 4624x= 4624/1.12x≈ 4128.578-i/6+i =(simplified in form a + bi)
Answer:
[tex]\frac{47}{37}[/tex] - [tex]\frac{14}{37}[/tex] i
Step-by-step explanation:
Given
[tex]\frac{8-i}{6+i}[/tex]
Multiply numerator/ denominator by the conjugate of the denominator.
The conjugate of 6 + i is 6 - i, thus
= [tex]\frac{(8-i)(6-i)}{(6+i)(6-i)}[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{48-14i+i^2}{36-i^2}[/tex] → substitute i² = - 1
= [tex]\frac{48-14i-1}{36+1}[/tex]
= [tex]\frac{47-14i}{37}[/tex]
= [tex]\frac{47}{37}[/tex] - [tex]\frac{14}{37}[/tex] i
The triangular figures shown below are constructed with toothpicks. The pattern shows what happens with 1 triangle, with 2 triangles, and with 3 triangles. Describe a possible pattern. Assuming the pattern continues, answer the following questions. How many toothpicks would be needed for the 10th figure? How many toothpicks are needed for the nth figure? In which figure are exactly 102 toothpicks used?
Answer:
(a) 51
(b) [tex]T_{n}=a+(n-1)d[/tex]
(c) 20th figure
Step-by-step explanation:
The diagram is attached below.
The first triangle is formed using 6 toothpicks.
The second triangle is formed using 11 toothpicks.
The third triangle is formed using 16 toothpicks.
So, there is an increases of 5 toothpicks every time.
We can say that the number of toothpicks used to form n triangles are following an arithmetic progression with the first term as 6 and the common difference as 5.
The nth term will be:
[tex]T_{n}=a+(n-1)d[/tex]
(a)
Compute the number of toothpicks required for the 10th figure as follows:
[tex]T_{n}=a+(n-1)d[/tex]
[tex]T_{10}=6+(10-1)\times5[/tex]
[tex]=6+(9\times5)\\=6+45\\=51[/tex]
Thus, the number of toothpicks required for the 10th figure is 51.
(b)
Compute the number of toothpicks required for the nth figure as follows:
[tex]T_{n}=a+(n-1)d[/tex]
(c)
Compute the value of n for [tex]T_{n}=102[/tex] as follows:
[tex]T_{n}=102[/tex]
[tex]a+(n-1)d=102\\\\[/tex]
[tex]6+(n-1)\times 5=102[/tex]
[tex]5(n-1)=96[/tex]
[tex]n-1=19.2[/tex]
[tex]n=20.2\\n\approx 20[/tex]
Thus, the 20th figure will require exactly 102 toothpicks.
Evaluate 2x+(x−y2) when x=8 and y=2
Answer:
20.
Step-by-step explanation:
2x + x - y^2; x = 8 and y = 2.
2(8) + 8 - (2)^2
= 16 + 8 - 4
= 24 - 4
= 20.
Hope this helps!
Answer:
= 20
Step-by-step explanation:
2x + (x - y²)
x = 8
y = 2
then:
2*8 + (8 - 2²)
= 16 + (8 - 4)
= 16 + 4
= 20
the regular price of a tshirt is 14.80. today tshirts are on sale for 0.8 of their regular price. how much will eliason spend if he buys 6 tshirts today
Answer:(14.80-0.8)*6=84
Step-by-step explanation:
Answer:
71.04
Step-by-step explanation:
0.8×14.80=11.84
11.84×6=71.04
Darren picked 25 flowers that he plans to divide evenly into 3 vases. He will use as many flowers per vase as he can, but may have flowers left
Answer:
So the number of flowers per vase
= 8 flowers per vase
Remainder= one flower
Step-by-step explanation:
Darren picked 25 flowers that he plans to divide evenly into 3 vases.
Number of Flowers touse per vase
= 25/3
Number of flowers to use per case
= 8.33
Number of flowers to use per case
= 8 1/3
We can see that it's 8 flowers per vase the a remainder of one flower Left.
So the number of flowers per vase
= 8 flowers per vase
Remainder= one flower
Answer: 8
Remainder: 1
Help Solving This Problem
Answer:
65oz for 6.99 dollars
Step-by-step explanation
Jerome and eric start their hike at point a and follow the trail in the counterclockwise direction. they stop at point w to eat lunch. how manu total miles have jerome and erick hicked when they stop for lunch
Answer:
12.5 feet
Step-by-step explanation:
The distance in a coordinate geometry is calculated using: [tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]. Jerome and Eric have hiked 12.4 miles when they stopped to eat.
To do this, we make use of distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
From the figure, we have the following points:
[tex]A = (4,4)[/tex]
The other points between A and W in counterclockwise are:
[tex]B=(6,2)[/tex]
[tex]C = (8,2)[/tex]
[tex]D = (8,4)[/tex]
[tex]E = (10,6)[/tex]
[tex]W = (8,8)[/tex]
Distance AB is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]AB = \sqrt{(4 - 6)^2 + (4 -2)^2} =\sqrt{8} =2.8[/tex]
Distance BC is
[tex]BC = \sqrt{(6 - 8)^2 + (2 -2)^2} =\sqrt{4} =2[/tex]
Distance CD is
[tex]CD = \sqrt{(8 - 8)^2 + (2 -4)^2} =\sqrt{4} =2[/tex]
Distance DE is :
[tex]DE = \sqrt{(8 - 10)^2 + (4 -6)^2} =\sqrt{8} =2.8[/tex]
Distance EW is:
[tex]EW = \sqrt{(10-8)^2 + (6 -8)^2} =\sqrt{8} =2.8[/tex]
So, distance AW is:
[tex]AW = AB + BC + CD + DE + EW[/tex]
[tex]AW = 2.8 + 2+ 2 + 2.8 +2.8[/tex]
[tex]AW = 12.4[/tex]
Read more about distance in coordinate geometry at:
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Bob decided to go to college, the cost of going to school will be $4,474 per semester, (there are 2 semesters per year) plus $389 per semester for books. His degree will take 4 years. If he wants to pay off his investment in 10 years or less what is the minimum increase in yearly salary he would need to earn upon finishing his degree.
Answer:
Step-by-step explanation:
1 semester = 4474
8 semester = 8* 4474 35792
1 semester books = 389
8 semester books = 8* 389 3112
Total 38904
If he is going to pay this off in 10 years, he would have to have an increase of 3890.40 (after all income taxes) to pay it off. Fewer years would mean dividing by the number of years.
So for 8 years for example, he would need 4863 every year.
That number is obtained by dividing 38904 / 8
In 6 years he would need
38904/6 = 6484 extra dollars.
Answer:
Answer is C. $11,700
Step-by-step explanation:
Which statement represents the situation described below? The cost c of a shirt is less than $27.50. A. c > 27.50 B. c < 27.50 C. c = 27.50 D. 27.50 < c
Answer:
B c < 27.50
Step-by-step explanation:
The cost c of a shirt is less than $27.50
In representing equality
< Represent less than
= Represent equal to
> Represent greater than
Other representation includes
< = Less than or equal to
>= Greater than or equal to
/= Not equal to
The cost c of a shirt is less than $27.50
C< 27.50
What is the difference between a yard and a meter? give me the actual distance
difference in cm
Answer:
The difference is 8.56 cm. ( the metre is longer than the yard).
Step-by-step explanation:
1 yard = 36 inches
= 36 * 2.54
= 91.44 cm
1 metre = 100 cm.
What is the value of the slope of a line with the equation: 20-5x?
Answer:
-5
Step-by-step explanation:
the slope is the variable in front of the x
John buys a new set of golf clubs for $757.75, including tax. If the sales tax rate is 8.25%, then what is the cost of the set of golf clubs? How much did he pay in tax?
Answer: Total cost: $820.26 Paid in tax: $62.51
Step-by-step explanation:
First you have to get the Tax. Since the Tax is 8.25% MOVE the decimal 2 spots to the right so now it is 0.0825.
Multiply 0.0825 by 757.75 you will get 62.514375.
Dont get scared of the big number simply simplify and you get the tax.
if you want the total he paid add tax and original cost.
Which number line models this expression? -2+2
Emily made 75% of the basket she attempted .If she make 9 basket ,how many attempts did she make.
Answer:
6.75
Step-by-step explanation:
9x0.75=6.75
Answer:
Correct answer is 6.75
Step-by-step explanation:
75% x 9 = 6.75
If EF = 4x + 15 and FG = 39 and EG = 110. Find the value of EF.
Answer:
EF + FG = EG Plug in the given values
4x + 15 + 39 = 110 Combine like terms (15 and 39)
4x + 54 = 110 Subtract 54 from both sides
4x = 56 Divide both sides by 4
x = 14
If CB=2x+5 and DE=10, find the value of x
Step-by-step explanation:
see the attachment......
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We are given that:
[tex]CB=2x+5[/tex]
And that DE = 10. We want to determine the value of x.
Note that CB is the sum of CD and DB. In other words:
[tex]CB=CD+DB[/tex]
Similarly, DE is the sum of DB and BE. Thus:
[tex]DE=DB+BE[/tex]
From the second equation, we can subtract BE from both sides:
[tex]DE-BE=DB[/tex]
Substitute this into the first equation:
[tex]CB=CD+(DE-BE)[/tex]
We are given that CB is 2x + 5 and DE is 10.
From the diagram, we can also see that CD is 3x - 1 and BE is 8.
Substitute:
[tex](2x+5)=(3x-1)+((10)-(8))[/tex]
Solve for x:
[tex]\displaystyle \begin{aligned}(2x+5) & = (3x-1) + (2) \\ \\ 2x + 5 & = 3x + 1 \\ \\ -x + 5 & = 1 \\ \\ - x & = -4 \\ \\ x & = 4 \end{aligned}[/tex]
In conclusion, the value of x is 4.
4 hundred thosands 16 thousands 4 hundreds 21 tens 12 ones equals what
Answer:
56622
Step-by-step explanation:
Simplify into numbers.
40000 + 16000 + 400 + 210 + 12
Add.
56622
The value of 4 hundred thousands 16 thousands 4 hundreds 21 tens 12 ones is 416622
Given,
4 hundred thousands 16 thousands 4 hundreds 21 tens 12 ones
We need to find the number that equals the given above.
What is the place value of a number?Example:
456789
4 - hundred thousands
5 - ten thousands
6 - thousands
7 - hundreds
8 - tens
9 - ones
Find the number for 4 hundred thousands 16 thousands 4 hundreds 21 tens 12 ones.
4 hundred thousands = 400,000
16 thousands = 16,000
4 hundreds = 400
21 tens = 210
12 ones = 12
We get,
= 400,000 + 16,000 + 400 + 210 + 12
= 416622
Thus the value of 4 hundred thousands 16 thousands 4 hundreds 21 tens 12 ones is 416622
Learn more about place value in a given number here:
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the value of all things needed to create the product
Answer:
All of the functions required to transform inputs into outputs (goods and ... provide all of the materials and supplies required to create finished products and deliver ... System for determining the right quantity of various items to have on hand
Step-by-step explanation:
Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end? a;line b;distance c;plane
Answer:
I believe that it is a line, since a line is infinite
Step-by-step explanation:
Two separate samples receive two different treatments. The first sample has n = 9 with SS = 710, and the second has n = 6 with SS = 460. Compute the pooled variance for the two samples.
Answer:
The pooled variance for the two samples is 90
Step-by-step explanation:
Here in this question, we are interested in computing the pooled variance for the two given samples.
From the question;
n1 = 9
ss1 = 710
n2 = 6
ss2 = 460
The pooled variance can be calculated using a mathematical formula as shown below;
S^2 =( ss1 + ss2)/(n1 + n2 -2)
where S^2 refers to the pooled variance of both samples.
Plugging the values into the equation, we have ;
S^2 = (710 + 460)/9 + 6 -2 = 1170/13 = 90