Answer:
0
Step-by-step explanation:
-115-(-115)
Subtracting a negative is like adding
-115 + 115
0
The answer is 0
Because they subtract each other
Solve the formula h=54t+12at2 h = 54 t + 1 2 a t 2 for a.
||x−4|-2|<3 PLEASE ANSWER!!!
Answer:
-1<x<9
(I think you notated it wrong, it should be |x-4|-2<3)
3u+5u=64
What is the simplify of this
What does u
Answer:
u = 8
Step-by-step explanation:
3u + 5u = 64
8u = 64
8u/8 = 64/8
u = 8
Jerome is an accounts payable clerk that when printing check used 1/4 of a box of check stock. How many checks did Jerome use for if 1000 checks are able to printed out of each box?
Which two of the following are appropriate methods to graph the line 2 + 4y = 8.
Answer : -Idenify the slope, and the y-intercept, then graph.
-Find the x - and y - intercept and then graph.
Step-by-step explanation:
Options (C) identify the slope and y - intercept and then graph and (D) find the x and y intercepts and then graph are the correct answers.
What is a line graph?A line graph is a graph formed by segments of straight lines that join the plotted points that represent given data. The line graph is used to solve changing conditions, often over a certain time interval.
For the given situation,
The line graph consists of a horizontal x-axis and a vertical y-axis.
Methods to graph a line are
Graph a linear function by plotting points.Graph a linear function using the slope and y-intercept.Graph a linear function using transformations.Hence we can conclude that options (C) identify the slope and y - intercept and then graph and (D) find the x and y intercepts and then graph are the correct answers.
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Find the lengths of the sides of the triangle PQR. P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) a. |PQ| = b. |QR| = c. |RP| =
Given :
Three points , P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) .
To Find :
The length of sides .
Given :
We know , length of two points P(x,y ,z) and Q(a,b,c) is given by :
[tex]L=\sqrt{(x-a)^2+(y-b)^2+(z-c)^2}[/tex]
Length of PQ :
[tex]PQ=\sqrt{(4-2)^2+(3-1)^2+(4-3)^2}\\\\PQ=\sqrt{4+4+1}=\sqrt{9}\\\\PQ=3[/tex]
Length of QR :
[tex]QR=\sqrt{(2-2)^2+(1-7)^2+(3-0)^2}\\\\QR=\sqrt{0+6^2+3^2}\\\\QR=\sqrt{36+9}\\\\QR=\sqrt{45}\\\\QR=3\sqrt{5}[/tex] :
Length of RP :
[tex]RP=\sqrt{(2-4)^2+(7-3)^2+(0-4)^2}\\\\RP=\sqrt{2^2+4^2+4^2}\\\\RP=\sqrt{4+16+16}\\\\RP=\sqrt{36}\\\\RP=6[/tex]
Hence , this is the required solution .
Solve |f−6| = |f+8| Can someone please help me with this question? I'm stuck.
Answer:
no solution
Step-by-step explanation:
|f-6| = |f+8|
solve absolute values
f-6 = f+8
add 6 to 8
f = f+14
subtract f from f
0=14
not true; no solution
Chang Industries has bonds outstanding with a par value of $210,400 and a carrying value of $218,600. If the company calls these bonds at a price of $214,000, the gain or loss on retirement is:
Answer:
The loss is $4600.
Step-by-step explanation:
The par value of the bonds = $210400
The carrying value of the bonds or the actual value of bonds = $218600
The company calls the bonds at the price = $214000
Now have to find the gain or loss from the given information. Thus, below is the calculation to find the gain or loss.
Loss or gain on retirement = $214,000 - $218,600 = -$4,600
Thus the loss on retirement is $4600.
Kyle wants to buy a new laptop that has an original price of $540. The store is having a sale, so the laptop is 10 percent off, which amounts to a discount of $54. If sales tax is 8 percent on the final price of the laptop, how much tax will he need to pay?
Answer:
A. 38.88
Step-by-step explanation:
$540-54 is 486
486(0.08) or 486(8%) is 38.88
Answer:
$38.88
I took the test, trust me
Which fraction has a repeating decimal as its decimal expantion
The following equation involves a trigonometric equation in quadratic form. Solve the equation on the interval [0,2π).
2sin2x+sinx=1
Answer:
[tex]\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}[/tex]
Step-by-step explanation:
Given the quadratic equation as:
[tex]2sin^2x+sinx=1\\OR\\2sin^2x+sinx-1=0[/tex]
Let us put [tex]sinx=y[/tex] for simplicity of the equation:
Now, the equation becomes:
[tex]2y^2+y-1=0[/tex]
Now, let us try to solve the quadratic equation:
[tex]\Rightarrow 2y^2+2y-y-1=0\\\Rightarrow 2y(y+1)-1(y+1)=0\\\Rightarrow (2y-1)(y+1)=0\\\Rightarrow 2y-1 = 0, y+1 = 0\\\Rightarrow y = \dfrac{1}{2}, y = -1[/tex]
So, the solution to the given trigonometric quadratic equation is:
[tex]sinx = \dfrac{1}{2}[/tex]
and
[tex]sinx=-1[/tex]
Let us try to find the values of [tex]x[/tex] in the interval [tex][0, 2\pi)[/tex].
[tex]sin\theta[/tex] can have a value equal to [tex]\frac{1}{2}[/tex] in 1st and 2nd quadrant.
So, [tex]x[/tex] can be
[tex]30^\circ, 150^\circ\\OR\\\dfrac{\pi}{6}, \dfrac{5\pi}{6}[/tex]
For [tex]sinx=-1[/tex],
[tex]x = 270^\circ\ or\ \dfrac{3 \pi}{2}[/tex]
So, the answer is:
[tex]\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}[/tex]
Sanna has 38 homework problems to finish she finishes the 14 problems in 25 minutes. How long will it take her to finish the rest of the assignment, if she continues at the same pace?
Answer:
45
Step-by-step explanation:
Help me with this please i don't understand
Answer:
84 cm²
Step-by-step explanation:
Surface are of the net = sum of the area of each section
Area of the 2 right triangles:
base (b) = 4cm, height (h) = 3 cm
Area = 2(½*b*h) = 2(½*4*3) = 4*3 = 12 cm²
Area of rectangle with the following dimensions:
length (L) = 6 cm, width (W) = 4 cm
Area = L*W = 6*4 = 24 cm²
Area of rectangle with the following dimensions:
length (L) = 6 cm, width (W) = 5 cm
Area = L*W = 6*5 = 30 cm²
Area of rectangle with the following dimensions:
length (L) = 6 cm, width (W) = 3 cm
Area = L*W = 6*3 = 18 cm²
Surface area of the net = 12 + 24 + 30 + 18 = 84 cm²
Fully simplify using only positive exponents.
\frac{5x^6y^6}{125x^5y^3}
125x
5
y
3
5x
6
y
6
Answer:
[tex]\frac{xy^{3}}{25}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5x^6y^6}{125x^5y^3}[/tex]
Required
Simplify the given expression
[tex]\frac{5x^6y^6}{125x^5y^3}[/tex]
Start by applying law of indices
[tex]\frac{5x^{6-5}y^{6-3}}{125}[/tex]
[tex]\frac{5xy^{3}}{125}[/tex]
Divide numerator and denominator by 5
[tex]\frac{xy^{3}}{25}[/tex]
Hence; the expression is equivalent to [tex]\frac{xy^{3}}{25}[/tex]
Find the least common multiple of 15, 2, and 10.
LCM = 30
Step-by-step explanation:15 = 3×5
2 = 2¹
10 = 2×5
LCM = 2×3×5 = 30
if an area can be washed at a rate of 4,900 cm2/ minute, how many square inches can be washed per hour?
Answer : 4.5 × 10⁴ square inches can be washed per hour.
Step-by-step explanation :
As we are given that an area can be washed at a rate of 4,900 cm²/min. Now we have to determine the square inches can be washed per hour.
Given conversions are:
1 cm = 0.39 in and 1 hr = 60 min
As, 1 cm² = (0.39)² in² and 1 min = 1/60 hr
So, [tex]1cm^2/min=(0.39)^2\times 60in^2/hr[/tex]
[tex]1cm^2/min=9.126in^2/hr[/tex]
Now we have to determine the square inches can be washed per hour.
As, [tex]1cm^2/min=9.126in^2/hr[/tex]
So, [tex]4900cm^2/min=\frac{4900cm^2/min}{1cm^2/min}\times 9.126in^2/hr=44717.4in^2/hr=4.5\times 10^4in^2/hr[/tex]
Therefore, 4.5 × 10⁴ square inches can be washed per hour.
Simplify. 863x14y9−−−−−−√ Assume x and y are nonnegative.
Answer:
24x^7 y^4 √7y
Step-by-step explanation:
The value of expression would be 24x⁷y⁴√7y which is determined by simplification of the given expression 8 √63x¹⁴y⁹.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have been the given expression as :
8 √63x¹⁴y⁹
We can simplify as:
⇒ 8 √63x¹⁴y⁹
The square root of a number is a number that can be multiplied by itself and gives the actual number.
⇒ 8 √[3×3×7( x⁷)²x (y⁴)² y]
Assume x and y are nonnegative.
⇒ 24x⁷y⁴√7y
Hence, the value of expression would be 24x⁷y⁴√7y.
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4a-2b+40 when a=2 and b=7
Answer:
34
Step-by-step explanation:
4(2)-2(7)+40
8-14+40
-6+40=34
4a-2b+40
4x2-2x7+40
8-14+40
-6+40
34 is the answer.
Find the absolute value and solve the problem
|-23| + |-15|
Answer:
38
Step-by-step explanation:
|-23| + |-15|
First find the absolute values, which are the non negative values
23 +15
Then add
38
Which phrase best describes f(x), graphed on the coordinate plane below?
answer.next time out the graph
Step-by-step explanation:
Answer:
It's A, an odd function
How to simplify this problem: (4c^4)^3
Answer:
64c^12
Step-by-step explanation:
(4c^4)^3 distribute exponents
{(4)^3 (C^12)} simplify
64c^12
Katie has a collection of nickels dimes and quarters with a total value of $4.60. there are 6 more dimes than nickels and 8 more quarters than nickels. How many of each coins does she have?
Answer:
920
Step-by-step explanation:
$4.60×6-8
$4.60×2dimes
=920
What is the length of an arc given that the measure of the central angle is 30 degree and the radius is 7 cm?
La longitud del arco (s) en una circunferencia, conociendo el radio (r) y el ángulo (θ) que forman los dos radios, es:
s = r∙θ
Con el ángulo en radianes
F V7 w7 :
10 The table below shows the results of a swimming race.
Time (sec)
Name
Paula
47.983
Marci
50
Kelli
47.972
Susan
47.21
Carla
46
10
Brenda
46.97
Which of the following gives the first four finishers in order from 1st to 4th place
F Brenda, Carla, Marci, Paula
G Carla, Brenda, Marci, Susan
H Carla, Marci, Brenda, Susan
J Susan Marci Brenda. Carla
Answer:
G. Carla, Brenda, Marci, Susan
Step-by-step explanation:
The time given for all participants are in decimals except for that of Marci and Carla which are given in the form of mixed fractions.
Convert the mixed fractions into decimals, then compare the figures together to do the ranking.
Marci = [tex] 46\frac{49}{50} = \frac{2,349}{50} = 46.98 [/tex]
Carla = [tex] 46\frac{9}{10} = \frac{469}{10} = 46.9 [/tex]
The first four finishers from the 1st to the 4th are:
1. Carla - 46.9
2. Brenda - 46.97
3. Marci - 46.98
4. Susan - 47.21
find the average of 2m,20cm and 95cm give your answer in cm
Answer:
The average is:
105 cm
Step-by-step explanation:
1 m = 100cm
2m = 2*100 = 200cm
then:
(200 + 20 + 95)/3 = 315/3 = 105cm
evaluate h^2-3h+2 for h= -3
Answer:
2
Step-by-step explanation:
1. Start by substituting 3 for every h, so it looks like 3^2-3(3)+2
2. Do the exponent first 9-3(3)+2
3. Multiply 3(3) to get 9-9+2
4. Subtract 9-9, 0+2
5. Add 0 and 2 to get 2
ABSOLUTE VALUE! What is the absolute value of -7?
Answer:
7
Step-by-step explanation:
For any real number x, if x > 0 then |x| = x and if x < 0 then |x| = -x. In this case, x < 0 so |-7| = -(-7) = 7.
Answer:
answer is 7
Step-by-step explanation:
if its a negative, its always the positive of that number....if that makes sense
Find the derivative F(x)=(5x+3)(2x^2+1)
Answer:
10x^3 + 6x^2 + 5x + 3
Step-by-step explanation:
F(x)=(5x+3)(2x^2+1)
= 5x*2x^2 + 5x*1 + 3*2x^2 + 3*1
= 10x^3 + 5x + 6x^2 + 3
= 10x^3 + 6x^2 + 5x + 3
The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is ___ m.
Answer:
8
Step-by-step explanation:
F(x) = 3x - 7 and g(x) = -2x - 6. Find (f o g)(4)
Answer:
(f o g)(4) = - 49Step-by-step explanation:
F(x) = 3x - 7
g(x) = -2x - 6
To find (f o g)(4) we must first find (f o g)(x)
To find (f o g)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with
g (x).
We have
(f o g)(x) = 3( - 2x - 6) - 7
= - 6x - 18 - 7
We have
(f o g)(x) = - 6x - 25
To find (f o g)(4), substitute the value of x that's 4 into (f o g)(x)
We have
(f o g)(4) = - 6(4) - 25
= - 24 - 25
We have the final answer as
(f o g)(4) = - 49Hope this helps you