Answer:
3.4147
Step-by-step explanation:
Answer:
the number rounded to the nearest ten thousandth is : 3.4147
Step-by-step explanation:
3.41469 Round to ten thousandths
put the number in value chart:
ones . tenth hundredth thousandth ten thousandth h.thousandth
3 . 4 1 4 6 9
now look at the number after the ten thousandth it is 9 which is more than five , five and more add one to the value below
add (1) to 6
the number rounded to the nearest ten thousandth is : 3.4147
4p+6-3 combine like terms to get equivalent expressions
Answer:
4p+3
Step-by-step explanation:
4p+6+-3
[4p]+[6+-3]
4p+3
For the function p defined by p(m) = 2m2 - 4m +3, find p(-2).
Answer:
p(m) = 2m² - 4m +3
p(-2) = 2(-2)² - 4(-2) + 3
= 2 × 4 - 4 × (-2) + 3
= 8 + 8 + 3
= 16 + 3
= 19
The value of p(-2) of function p(m) = 2m² - 4m +3 is 19.
What is function?The function is defined as mathematics expression defines a relationship between one variable and another variable. When we say that a variable quantity y is a function of a variable quantity x, we indicate that y depends on x and that value of x determines what value of y will be. This relationship can be expressed as follows: y = f (x)
What is quadratic expression?The quadratic expression is defined as an expression containing the highest power of a variable is two.
For the function p defined by p(m) given as :
p(m) = 2m² - 4m +3,
To determine the value of p(-2).
p(m) = 2m² - 4m +3,
Substitute the value of m = -2 in the function,
p(-2) = 2(-2)² - 4(-2) +3,
p(-2) = 2(4) + 8 +3,
p(-2) = 8 + 11
p(-2) = 19
Hence, the value of p(-2) is 19.
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5. Say the following are deductions on a typical income, i. Pension deductions are 5% ii. Emploment Insurance deductions are 2.4% iii. And Income Tax deductions are as follows 1. For annual salaries, on the first $11,000, no income tax is paid, 2. On the first $11,000 to $25,000, 8% of the income is deducted, 3. On the first $25,000 to $50,000, 12% of the income is deducted, 4. On the first $50,000 to $100,000, 15% of the income is deducted, 5. And on the rest of the income, 20% of that income is deducted. Henry makes an annual gross salary of $70,000, what is his net salary?
Answer:
$57,700
Step-by-step explanation:
The deductions are ...
for pension and employment insurance, (5+2.4)% of $70,000
= 0.074 × $70,000 = $5,180
for income tax, ...
8% of the 14,000 between $11,000 and $25,000 = $1,120
12% of the 25,000 between $25,000 and $50,000 = $3,000
15% of the 20,000 between $50,000 and $70,000 = $3,000
Then the total of deductions is ...
$5,180 +1,120 +3,000 +3,000 = $12,300
Net salary after these deductions is ...
$70,000 -12,300 = $57,700
1+1=?.........................................
Answer:
Its 11
Step-by-step explanation:
put 2 ones together and u get 11
-Big Brain Moment-
IT TOOK SO LONG FOR ME TO GET THE ANSWER TO THIS QUESTION
If x = -2,y=-6 and z=4.Find the value of the following. a) 4z+2y-x. Please help.50 points . ASAP
4(4)+2(6)-(-2)
16+2(6)-(-2)
multiply 2 by 6
16+12-(-2)
multiply -1 by -2
16+12+2
add 16 and 12
28+2
add 28 and 2
30
so your answer is 30
evaluate 3^2+(8-2)x4-6/3
Answer:
31
Step-by-step explanation:
=3^2+(8-2)x4-6/3
=9+6 x 4 - 2
=9+24-2
=31
Answer:
31
Step-by-step explanation:
9+6*4-6/3
9+6*4-2
9+24-2
31
Directions: Find the distance between each pair of points
(-4, 6) and (3.-7)
PLEASE HELP 1kx + 13kx = 6 Solve for x.
Answer:
[tex]\bold{x=\dfrac3{7k}}[/tex]
Step-by-step explanation:
1kx + 13kx = 6
14kx = 6
÷(14k) ÷(14k)
x = 6/(14k)
x = 3/(7k)
The Haas Door Co. produces truck dock door seals. Their 9' × 10' seal costs $280 to produce. The mark-up rate is 75% of the cost to produce. What is the retail price?
Answer:
$490 is the retail price
Step-by-step explanation:
75% = [tex]\frac{3}{4}[/tex]
[tex]\frac{280}{4} = 70[/tex]
[tex]70(3)=210[/tex]
[tex]280+210=490[/tex]
The retail price will be; 490 dollar.
What is Markup and Markdown?Markup is the amount that will be increased in the original price of the considered thing.
Markdown is the amount that will be decreased from the original price of the considered thing.
Think of "up" and "down" as increasing and decreasing prices respectively.
We are given that Haas Door Co. produces truck dock door seals. Their 9' × 10' seal costs $280 to produce.
The mark-up rate = 75% of the cost to produce.
Retail price = cost price + 75 % of cost price
Therefore,
Retail price = 280 + 75 % of 280
Retail price = 280 + 0.75 x 280
Retail price = 280 + 210
Retail price = 490
Thus, retail price is $ 490
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84 POINTS!!!!!!!! The hands on a clock represents rays. At 6:00, they forn opposite rays. What undefined term do the hands of the clock represents at 6:00?
A. Point
B.Line
C. Plane
D. Space
Answer:
Line of course! So its B
What is the volume of a certain cube? (1) The sum of the lengths of the edges of the cube is 36. (2) The surface area of the cube is 54.
Answer:
(1) The sum of the lengths of the edges of the cube is 36.
A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3
Volume = 3*3*3 = 27
(2) The surface area of the cube is 54.
A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)
6s^2 = 54
s = 3
Volume = 3*3*3 = 27
Step-by-step explanation:
All you need to uniquely define a cube is any one measurement - length of a side/edge, area of a surface, volume etc. If you have any one of them, you can uniquely determine the others. So each statement alone is sufficient here.
To show how,
(1) The sum of the lengths of the edges of the cube is 36.
A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3
Volume = 3*3*3 = 27
(2) The surface area of the cube is 54.
A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)
6s^2 = 54
s = 3
Volume = 3*3*3 = 27
Need help solving this equation
Answer:
The answer is 4xStep-by-step explanation:
[tex] ({64 {x}^{3} })^{ \frac{1}{3} } [/tex]
To solve the expression convert 64 to exponential form
That's
64 = 4³
So we have
[tex]( { {4}^{3} {x}^{3} })^{ \frac{1}{3} } [/tex]
Using the rules of indices
That's
[tex]( { {a}^{x} {b}^{y} })^{z} = {a}^{x \times z} . {b}^{y \times z} [/tex]
So for the above expression we have
[tex]( { {4}^{3} {x}^{3} })^{ \frac{1}{3} } = {4}^{3 \times \frac{1}{3} } . {x}^{3 \times \frac{1}{3} } [/tex]
Simplify the expression
We have the final answer as
4xHope this helps you
Let ∠BOC=x+3, ∠AOB=4x−7, and ∠AOC=21. Solve for x.
Answer:
5Step-by-step explanation:
Given the following angles ∠BOC=x+3, ∠AOB=4x−7, and ∠AOC=21, the expression is true about the angles;
∠AOC = ∠BOC+∠AOB
Substituting the given values into the expression, we will have;
21 = x+3+4x-7
collect the like terms
21 = x+4x+3-7
21 = 5x-4
Add 4 to both sides
21+4 = 5x-4+4
25 = 5x
Divide both sides by 5
5x/5 = 25/5
x = 5
Hence the value of x is 5
What statements are true regarding the given statement and diagram? ∠CED is a right angle. ∠CEA is a right angle. m∠CEA = One-half(m∠CEB) m∠CEB = m∠BEA m∠DEB = 135° m∠AEB = 35°
Answer:
A, B, D, and E
Step-by-step explanation: Hope it helps ^w^
Step-by-step explanation: I hope this helps.
Answer:
Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50, a=26 D. m∠A=43, m∠B=55, a=20
Answer:
D. m∠A=43, m∠B=55, a=20
Step-by-step explanation:
Given:
∆ABC,
m<C = 82°
AB = c = 29
AC = b = 24
Required:
m<A, m<C, and a (BC)
SOLUTION:
Find m<B using the law of sines:
[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]
[tex] \frac{sin(B)}{24} = \frac{sin(82)}{29} [/tex]
[tex] sin(B)*29 = sin(82)*24 [/tex]
[tex] \frac{sin(B)*29}{29} = \frac{sin(82)*24}{29} [/tex]
[tex] sin(B) = \frac{sin(82)*24}{29} [/tex]
[tex] sin(B) = 0.8195 [/tex]
[tex] B = sin^{-1}(0.8195) [/tex]
[tex] B = 55.0 [/tex]
m<B = 55°
Find m<A:
m<A = 180 - (82 + 55) => sum of angles in a triangle.
= 180 - 137
m<A = 43°
Find a using the law of sines:
[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} [/tex]
[tex] \frac{a}{sin(43)43} = \frac{24}{sin(55)} [/tex]
Cross multiply
[tex] a*sin(55) = 25*sin(43) [/tex]
[tex] a = \frac{25*sin(43)}{sin(53)} [/tex]
[tex] a = 20 [/tex] (approximated)
Answer:
20.0
Step-by-step explanation:
I got it correct on founders edtell
64 + 13 + (-83) Thanks for taking time out of your day your help
the product of two rational numbers is - 16/9. If one of them is - 4/3 find the other
Answer:
The other number is 4/3
Step-by-step explanation:
Let the unknown number be x
Translate the equation :
[tex] - \frac{4}{3} \times x = - \frac{16}{9} \\ - \frac{4}{3} x = - \frac{16}{9} \\ [/tex]
Cross multiply
[tex] - 4x \times 9 = 3 \times - 16 \\ - 36x = - 48[/tex]
Divide both sides by -36
[tex] \frac{ - 36x}{ - 36} = \frac{ - 48}{ - 36x} \\ x = \frac{4}{3} [/tex]
What is the percentage of change from 50 to 17
Answer:
66%
Step-by-step explanation:
50 - 17 = 33, so that is the difference between the two numbers. Percent change is the change over the original, so 33/50. 33/50 equals 66/100, so the percent change is 66%
If 3x2 - 7y + 6 is subtracted from 4x2 - 3y + 4, the result is
Answer:
X^2 +4y-2
Step-by-step explanation:
Substraction gives the difference between two points or two positions.
We were told to substraction 4x2 - 3y + 4, from (3x2 - 7y + 6)
Then we can say
(4x2 - 3y + 4) -(3x2 - 7y + 6)
If we open the bracket we have
4x2 - 3y + 4 - 3x2 + 7y - 6
Then if we collect like terms we have
4x2 - 3x2 -3y +7y +4 -6
Then we have
X^2 +4y-2
Hence the substraction between 4x2 - 3y + 4, and (3x2 - 7y + 6)
gives us X^2 +4y-2
The math club sells candy bars and drinks during football games. 60 candy bars and 110 drinks will sell for $265. 120 candy bars and 90 drinks will sell for $270. How much does each candy bar sell for?
Answer:
$0.75 per candy bar
Step-by-step explanation:
For this problem, we simply need to set up a system of equations to find the value of a drink, and the value of a candy bar.
Let x represent the cost of a candy bar, and y represent the cost of a drink.
60x + 110y = 265
120x + 90y = 270
Now let's use the elimination method to solve for one of the variables:
60x + 110y = 265 --> -2 ( 60x + 110y = 265 ) --> -120x + -220y = -530
-120x + -220y = -530
120x + 90y = 270
-130y = -260
y = 2
Now plug the value of y into one of the equations to find the value for x:
60x + 110y = 265
60x + 110 (2) = 265
60x + 220 = 265
60x = 45
x = 45 / 60
x = 0.75
With this, we know that the cost of a candy bar is $0.75 and the cost of drink is $2.00.
Cheers.
A professor wants to divide the remaining 3 4 of the semester evenly into six different units. A. What fraction of the semester should be spent on each unit? B. The professor drops one unit. What fraction of the semester should be spent on each unit?
Answer:
A. 1/8 of the semester
B. 3/20 of the semester
Step-by-step explanation:
A professor wants to divide the remaining 3/4 of the semester evenly into 6 different units. A. What fraction of the semester should be spent on each unit?
B. The professor drops one unit. What fraction of the semester should be spent on each unit?
Solution
A.
A professor wants to divide the remaining 3/4 of the semester evenly into 6 different units
Total semester=3/4
Total units=6 units
Fraction of the semester that will be spent on each units = 3/4 ÷ 6
=3/4 × 1/6
=3/24
=1/8
1/8 of the semester will be spent on each units
B. If the professor drops one unit
That is 6 units - 1 unit = 5 units
Fraction of the semester that will be spent on each units=3/4 ÷ 5
=3/4 × 1/5
=3/20
−a2 − 3b3 + c2 + 2b3 − c2 if a = 3, b = 2, and c = −3
Answer:
7
Step-by-step explanation:
a = 3, b=2 and c = -3
● -a^2 - 3b^3 + c^2 + 2b^3 -c^2
● -a^2 - b^3
● -(3)^2 + 2×2^3
● -9 + 16
● 7
Answer:
-35
Step-by-step explanation:
-3^2-3(2^3)-3^2 + 2(2^3)-3^2
X-2
X + 2
3x + 3
4x + 12
3x + 12
X+4
x+1
Which of the
following
represents
the sum of
three
consecutive
integers?
o
o
Which of the
following
represents
the average
of three
consecutive
integers?
o
О
Answer:
1)3x+3
2)x+1
Step-by-step explanation:
1)consecutive integer = x and x+1 and x+2
x+x+1+x+2= 3x+3
2)average= total sum/number of numbers involved.
average = 3x+3
3
= x+1
what is the polynomial -x^(2)-(1)/(2)+x
Answer:
trinomial
Step-by-step explanation:
-x² - 1/2 + x
if you are asking for the specific name, it is a trinomial because there are 3 terms.
468−[64÷4×(9÷3−4−2)]
Answer:
the answer is 516
Step-by-step explanation:
An urn contains white and red balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all balls drawn from the urn are red
Answer:
[r/(w + r)]^4
Step-by-step explanation:
The numbers of the different balls are not given, but here is the solution.
Let w = number of white balls.
Let r = number of red balls.
The total number of balls is w + r.
All drawings have the same probability since there is replacement.
Each drawing has the following probability of drawing a red ball:
p(red) = r/(w + r)
Since there are 4 drawings, and they are all independent events, the overall probability is the product of the individual probabilities.
p(4 red balls in 4 drawings) = [r/(w + r)]^4
To find an actual number, replace w and r with the correct numbers and evaluate the expression.
What is 11/12 divided by 1/3?
Answer:
11
----
4
Step-by-step explanation:
11 1
--- ÷ ----
12 3
just flip the 1/3 = 3/1 then multiply.
11 3 33
--- x ---- = ----- just simplify if needed
12 1 12
11
therefore -----
4
If g(x) = 4x^2 - 16 were shifted 5 units to the right and 2 down, what would the new equation be?
Answer:
D. h(x) = 4(x - 5)² - 18
Step-by-step explanation:
3. Which of the following equations does not
have a rational solution?
(A) x*x= 2
(B) x*x=1
(C) x*x=0
(D) x+x=0
Answer:
Equation A doesn't have a rational solution
Step-by-step explanation:
Notice that the solutions for equation A is:
[tex]x^2=2\\x=+/- \sqrt{2}[/tex]
and [tex]\sqrt{2}[/tex] is an irrational number
The other equations have rational solutions:
Equation B: x = 1 and x = -1 are solutions (both rational numbers)
Equation C: x = 0 is the solution (rational number)
Equation D : x = 0 is the solution. (rational number)
HELP ME I GIVE UP PLEASE HELP ASAP
Work Shown:
T = C(3 + AB)
T = 3C + ABC .... distribute
3C + ABC = T
ABC = T - 3C ... subtract 3C from both sides
(AC)*B = T - 3C
B = (T - 3C)/(AC) .... divide both sides by AC
Answer:
T-AB-3=0
Step-by-step explanation: