Answer:
Step-by-step explanation:
Let 'x' represent the actual salary.
|x - 25,000| <= 1800
- 1,800 <= x - 25,000 <= 1,800
25,000 - 1,800 <= x <= 25,000 + 1,800
23,200 <= x <= 26,800
The range of the salary is the closed interval [23,200, 26,800].
Factoring Polynomials Completely Step by step
Answer:
x(x-8)(x+8)
Step-by-step explanation:
it ends with a negative 64 and the only one that also end with that would be C because -8×8 = 64
Felicia earns $800 a month. The table shows her monthly budget.
Monthly Budget
Expense Amount of Money
College savings $200
Car payment $275
Cell phone $125
Clothes $50
Food $100
Other $50
Which statement is supported by the information in the table?
F.Felicia spends 10% of her monthly budget on clothes and food.
G.Felicia spends 25% of her monthly budget on her car payment.
H.Felicia spends 20% of her monthly budget on college savings.
J.Felicia spends 50% of her monthly budget on her car payment and cell phone.
I'm not really good at math and I'm doing a test online right now and I am very confused.
Answer:
The answer is J.
Step-by-step explanation:
50% of 800 is 400.
125+275=400
What error did Tracy make? She used AG = 2EG, but the correct statement is 2AG = GE. She found that x = 4, but the correct value for x is 2. She used GF = 2BG, but the correct statement is BG = 2GF. She found that GF = 64, but the correct value of GF is 8.
Answer:
C. She used GF = 2BG, but the correct statement is BG = 2GF.
Step-by-step explanation:
credits to the other person!
Answer:
C.
Step-by-step explanation:
Edge 2021
The resultant of the vectors a = 3i - 2j and b = pi - 2pj is parallel to the vector c = 2i - 3j.
a) Find the value of p
b) Find the resultant of vectors a and b.
Please help me with this question, thank you
Part (a)
The resultant vector is the vector formed by adding the two vectors a and b. So we effectively add the corresponding components.
You can use the parallelogram law as a visual alternative.
Adding a and b leads to
a+b = (3i-2j) + (pi-2pj)
a+b = (3i+pi) + (-2j-2pj)
a+b = (3+p)i - (2+2p)j
Define vector d to be d = a+b so we can use it later below.
Recall that parallel vectors point in the same direction. This means the ratio of their components or coordinates are equal.
We can say the following
(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)
(3+p)/(2) = (-(2+2p))/(-3)
Let's solve for p
(3+p)/(2) = (-(2+2p))/(-3)
(3+p)/(2) = (2+2p)/3
3(3+p) = 2(2+2p) .... cross multiply
9+3p = 4+4p
4p+4 = 3p+9
4p-3p = 9-4
p = 5
Answer: p = 5========================================================
Part (b)
Since p = 5, from part (a), we can determine vector b
b = pi - 2pj
b = 5i - 2*5j
b = 5i - 10j
Then add vectors a and b to get
a+b = (3i-2j) + (5i - 10j)
a+b = (3i+5i) + (-2j - 10j)
a+b = (3+5)i - (2+10)j
a+b = 8i - 12j
Or we can say
a+b = (3+p)i - (2+2p)j .... from part (a)
a+b = (3+5)i - (2+2*5)j ... plugging in p = 5
a+b = 8i - 12j
Note the ratio of the components of vector d and vector c are such
(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)
8/2 = -12/(-3)
4 = 4
This helps confirm the answer
You could also graph the vectors c = 2i - 3j and d = 8i - 12j to note the two lines produce the same slope -3/2. We can see that -12/8 = -3/2. Lines of the same slope are parallel lines
Answer: 8i - 12ja.
The value of p is 5
Since vector a = 3i - 2j and vector b = pi - 2pj, the resultant of vectors a and b is R = a + b
= 3i - 2j + pi - 2pj
= (3 + p)i - 2(1 + p)j
Since R is aparallel to vector c = 2i - 3j, it implies that the cross product of R and c is zero.
The cross product of two vectors a and b is a × b = absinФ where a and b are the magnitudes of a and b and Ф is the angle between them.
So, R × c = [(3 + p)i - 2(1 + p)j] × [2i - 3j]
= (3 + p)i × 2i + (3 + p)i × (-3j) + (-2(1 + p)]j × 2i + (-2(1 + p)]j×(-3j)
= 0 - 3(3 + p)k - 4(1 + p)(-k) + 0
= -3(3 + p)k + 4(1 + p)k
= [-3(3 + p) + 4(1 + p)]k
= [-9 - 3p + 4 + 4p)]k
= [-9 + 4 - 3p + 4p)]k
= [-5 + p]k
[-5 + p]k = RcsinФ.
Since R and c are parallel, Ф = 0°
So, Rcsin0° = Rc × 0 = 0
So, [-5 + p]k = 0
-5 + p = 0
p = 5
The value of p is 5
b.
The resultant of vectors a and b is R = 8i - 12j
Since p = 5 and the resultant of vectors a and b is R = (3 + p)i - 2(1 + p)j
Substituting the value of p = 5 into r, we have
R = (3 + p)i - 2(1 + p)j
R = (3 + 5)i - 2(1 + 5)j
R = 8i - 2(6)j
R = 8i - 12j
So, the resultant of vectors a and b is R = 8i - 12j
Learn more about resultant of vectors here:
https://brainly.com/question/14358602
a) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF
b) Explain which parts are congruent in this triangle that applies to the postulate that you chose (naming order matters).(HW)
Answer:
A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.
B. [tex] \overline{AB} \cong \overline{DE} [/tex]
[tex] \overline{BC} \cong \overline{EF} [/tex]
[tex] \overline{AC} \cong \overline{DF} [/tex]
Step-by-step explanation:
a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.
Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.
b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:
[tex] \overline{AB} \cong \overline{DE} [/tex]
[tex] \overline{BC} \cong \overline{EF} [/tex]
[tex] \overline{AC} \cong \overline{DF} [/tex]
Find the area of the trapezoid.
Joan wants to start an IRA that will have $860,000 in it when she retires in 29-years. How much should she invest annually in her IRA to do this if the interest is 8% compounded annually?
Answer:
Annual deposit= $8,271.94
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $860,000
Number of periods= 29 years
Interest rate= 8% = 0.08
To calculate the annual deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (860,000*0.08) / [(1.08^29) - 1]
A= $8,271.94
Question
Help me -.8+ 2X = .3 - x
Step-by-step explanation:
2x+x=.3+.8
3x= 1.1/:3
x=0.366
Answer:
x = -2.566667
Step-by-step explanation:
simplify both sides
8 + 2x = 0.3 - x
8 + 2x = 0.3 + - x
2x + 8 = - x + 0.3
add x to both sides
2x + 8 + x = - x + 0.3 + x
3x + 8 = 0.3
subtract 8 from both sides
3x + 8 - 8 = 0.3 - 8
3x = -7.7
divie both sides by 3
3x/3 = -7.7/3
x = -2.566667
According to a survey conducted by the Texas Free Press, 125 out of 500 people do not have internet access at their homes. What percent of the people surveyed do have internet access at their homes?
Answer:
Step-by-step explanation:
Take 125 and divide by 500 this equals 0.25 or 25%
Answer:
x=25
Step-by-step explanation:
[tex]\frac{125}{500} *\frac{x}{100}[/tex] this is just a typical percent equation
[tex]12500=500x[/tex] cross multiply
x=25 divide by 500 to get the answer
complete the table of values for y=x3+x2-6x
Answer:
y= x ^3 - 4x
Step-by-step explanation:
Regroup terms.
y=x^3 +2x−6x
Simplify x^3 +2x−6x to x^3 −4x.
AAAAANNNNNnnNNND the answer is
y= x^3 - 4x
IN GRAPH
Maliah goes to an electronics store. Let y represent the price of a laptop and let z represent the price of a television. The equation
y=32 + 12 relates the prices.
Answer:
hi
Step-by-step explanation:
PLEASE HELP ITS EASY MATH
Workers install 600 chairs at a constant rate. After 4 days, the workers still have to install 360 chairs. How much time does it take to install the chairs from start to finish?
Answer:
10
Step-by-step explanation:
Acc to question, the workers have installed 240 chairs in 4 days which equals 60 chairs in 1 day.
So the will require 600 /60 =10 days from the start.
PLEASE HELP
classify triangles
Answer:
I'm pretty sure its obtuse triangle
What is the value of the question mark in the picture below .
Answer:
84 degrees
Step-by-step explanation:
Vertical angles, then corresponding
Find the slope of each line in the figure.
Slope of p =
Slope of q =
Slope of r =
Slope of m =
Slope of n =
Answer:
slope of p= -7/12
slope of q= -3/6.8
slope of r= -16/6.4
slope of m= 6.2/15.5
slope of n= 6.8/17
Step-by-step explanation:
The slopes of the line are given as 2.5 for p and q and -2.5 for r, m and n respectively.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The slope of the given lines can be obtained as follows,
(a) In order to find slope of line p,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-3 - 8)/(0.4 - (-4))
⇒ m = -2.5
(b) In order to find slope of line q,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (13 - 0)/(6.8 - 12)
⇒ m = -2.5
(c) In order to find slope of line r,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (13 - (-3))/(6.8 - 0.4)
⇒ m = 2.5
(d) In order to find slope of line m,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-15.5 - 0)/(0 - 6.2)
⇒ m = 2.5
(e) In order to find slope of line n,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-5 - 12)/(- 6.8 - 0)
⇒ m = 2.5
Hence, the slopes of first two lines are 2.5 and of the remaining three are 2.5.
To know more about slope click on,
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How can you tell that the inequality 3x - 1 > 3x + 2 has no solution just by looking at the terms in the inequality? Please help. I cant do math!
Answer:
A
Step-by-step explanation:
You want to double the 3 into the right square. Then add 15. After that, move the 7 into the 10 square.And there you go. You got 19-
8 in. 8 in. 8 in Find the area of the figure above, [?] in
Answer:
96
Step-by-step explanation:
Total area = area of cube + area of triangle
A = 8² + [tex]\frac{8*8}{2}[/tex] = 64 + 32 = 96 in²
Answer:
96 square feet
to find the area of a triangle the formula is
A=1/2×b×h
8×8=64
1/2×8×8=32
32+64= 96
45a^3b^4+36a^2b^5 ÷ 9a^2b^4
help meee will mark brainliest
Answer:
I believe it is B -4/5 I am sorry if I am wrong. If I am right hope this helps and please mark brainlist.
Hi, i'm trying to find the area of the attached rectangle, i'm trying to figure out how it works by putting it into pieces, i can't quite figure it out, any help would be nice!
Answer:
208[tex]cm^{2}[/tex]
Step-by-step explanation:
Area of a rectangle= base x height
Find the area for each one of the rectangles and add up
2(4x8)+2(6x8)+2(4x6)
[(9 - 6)² - 3 × 5] 20 =
Answer:
the answer is -120
Step-by-step explanation:
trust :)
please help me please please nice brainly people pls
Answer:
I think your answer is B= 12.
Step-by-step explanation:
Its x times 1 .33333 = y
brainliest?
question in pic. please help!
Answer:
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
Step-by-step explanation:
We need to place the sides of triangle DE, DF and EF from longest to shortest.
The triangle has longest side that is opposite to the largest angle
We know two angles < E= 61° , <F= 59° we need to find <D
Sum of angles of triangle = 180°
So, 61°+59°+<D=180°
120°+<D=180°
<D=180°-120°
<D=60°
So, the largest angle is <E= 61°
The longest side must be opposite to <E so, the side is DF
The second largest angle is <D=60° so, second side will be EF
The smallest angle is <F=59° so, third (shortest) side will be DE
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
What is -3(5+5)>5x?
Answer:
The answer is x < -6
hope that helps
-3(5+5)>5x
-15+-15>5x
-30>5x
5x<-30
Divide both side by 5
5x÷5 < -30÷5
x<-6
Answer:
-15 is the incorrect answer the correct answer is x < --6
Step-by-step explanation: Simplify 5+55+5 to 1010.
-3\times 10>5x−3×10>5x
2 Simplify -3\times 10−3×10 to -30−30.
-30>5x−30>5x
3 Divide both sides by 55.
-\frac{30}{5}>x−
5
30
>x
4 Simplify \frac{30}{5}
5
30
to 66.
-6>x−6>x
5 Switch sides.
x<-6x<−6
If 40 percent is 240 what is 25 percent
Answer:
150
Step-by-step explanation:
maybe it could be like this
0.40x = 240
we could get x = 600
then 0.25x = 600 × 0.25 = 150
Please help if you are good at math!!
Answer:
Y intercept= (0,15)
X intercept= ([tex]\frac{3}{4}[/tex],0) , (5,0)
Vertex= -[tex]\frac{b}{2a}[/tex]
Step-by-step explanation:
PLEASE MARK BRAINLIEST
elements of {1,2,3,4,6,12} and {4,6,8,10}
Step-by-step explanation:
A ={1,2,3,4,6,12}
B={4,6,8,10
[tex]A \cup B=[/tex]{1,2,3,4,6,8,10,12}
HELPPP PWEASEEEEEEEEEEEE
3X +17+ 5X equals 7X +10
Answer:
I think the answer is x= -7.
Henry can type 3500 words in 70 minutes. Colin can type 1500 in 30 minutes. Brian can type 2200 words in 40 minutes. Who types at the fastest rate of words per minute?
Given:
Henry can type 3500 words in 70 minutes.
Colin can type 1500 in 30 minutes.
Brian can type 2200 words in 40 minutes.
To find:
The person who types at the fastest rate of words per minute.
Solution:
We know that,
[tex]\text{Rate of words per minute}=\dfrac{\text{Number of words}}{\text{Number of minutes}}[/tex]
Using this formula, we get
[tex]\text{Henry's rate of words per minute}=\dfrac{3500}{70}=50[/tex]
[tex]\text{Colin's rate of words per minute}=\dfrac{1500}{30}=50[/tex]
[tex]\text{Brian's rate of words per minute}=\dfrac{2200}{40}=55[/tex]
Since 55>50, therefore Brian's types at the fastest rate of words per minute.