Answer:
161,280 packages in 1 week
Step-by-step explanation:
there are 168 hours in 1 week
so 960 × 168 = 161,280
Simplify (4x - 6) + (3x + 6).
O 7x
O 7x - 12
Ох
O 7x + 12
Answer:
(4x-6)+(3x+6)
=4x-6+3x+6
=7x
Answer:
7x
Step-by-step explanation:
[tex](4x - 6) + (3x + 6)[/tex]
[tex]4x - 6 + (3x + 6)[/tex]
[tex]4x - 6 + 3x + 6[/tex]
[tex]4x + 3x[/tex]
[tex] = 7x[/tex]
Simplify: 4b^5 + 10b^5
Answer:
14 b^5
Step-by-step explanation:
you can do all mathmatical operations to same variables with same power
SImplify the expression below:
Answer:
8x^2 +10x -5
Step-by-step explanation:
you'll multiply the second expression by -1, and you'll get +8x-9, add both expressions together and your final answer will be 8x^2 +10x -5
what is the domain of the function
Answer:
(-∞,20}
Step-by-step explanation:
Use the commutative property to reorder the terms.
Separate the function into parts to determine the domain of each part
The domian of a rational function are all values of x which the denominator is different than 0
Find the intersection
The formula Q = MCT we're Q = heat flow, M = mass, C = Specific heat, and T = change of temperature is used to calculate heat flow. Solve this formula for T.
the answer must be t equal to Q over MC
Answer:
T= Q over MC
Step-by-step explanation:
I did the test
What is the difference?
Answer:
4th option
Step-by-step explanation:
Given
[tex]\frac{x}{x^2+3x+2}[/tex] - [tex]\frac{1}{(x+2)(x+1)}[/tex] ← expand denominator using FOIL
= [tex]\frac{x}{x^2+3x+2}[/tex] - [tex]\frac{1}{x^2+3x+2}[/tex]
Since the denominators are common, then subtract the numerators
= [tex]\frac{x-1}{x^2+3x+2}[/tex]
What is the least number which is exactly divisible by 76 and 57
Answer:
228
Step-by-step explanation:
Your phrasing is a little bit confusing but I'll assume that you're looking for the Least Common Multiple.
Please help
directions: solve the question with the correct factors of the given polynomial expression.
1.) 27m³ - 8m³
2.) p³ + 125q³
3.) 100c² + 100c + 25
4.) 2x² + 9x - 5
5.) a³ + 125b³
6.) 2x² - 11x + 15
7.) x² + 10x + 16
8.) x² - 9x + 18
9.) x² - 2x - 24
10.) x² - 13x + 36
11.) 3x² - x - 10
12.) 2x² - 13x + 15
13.) 8x² + 17x + 2
Step-by-step explanation:
[tex](3m - 2m)(9m {}^{2} + 6m + 4 {m}^{2} )[/tex]
2.
[tex](p + 5q)( {p}^{2} - 5qp + 25q {}^{2} )[/tex]
3.
[tex]25(2x + 1) {}^{2} [/tex]
4.
[tex] \: (2x - 1)(x + 5) [/tex]
5.
[tex](a + 5b)( {a}^{2} - 5ba + 25 {b}^{2} )[/tex]
6.
[tex](x - 3)(2x - 5)[/tex]
7.
[tex](x + 2)(x + 8)[/tex]
8
[tex](x - 3)(x - 6)[/tex]
9.
[tex](x - 6)(x + 4)[/tex]
10.
[tex](x - 9)(x - 4)[/tex]
11.
[tex](3x +5 )(x - 2)[/tex]
12.
[tex](2x - 3)(x - 5)[/tex]
13.
[tex](8x + 1)(x + 2)[/tex]
A box contains 6 blue pens and 10 red pens. What is the ratio of red pens to total pens as a fraction? *
please please i need it fast :(
Answer:
[tex] \frac{10}{16} [/tex]
Step-by-step explanation:
[tex] \frac{red \: pens}{total \: pens \: } = \frac{10}{16} [/tex]
or 5/8
Is 3/8 just a rational number?
Answer:
Yes!
Step-by-step explanation:
It is also a fraction. But, again fraction is a rational number and the number is also real (>0).
Write the
equation of the line that
passes through the
points
the points (1, 2) and (5,-3)
Answer:
-5/4x + 5/2
Step-by-step explanation:
Slope: (-3-2)/5-1) = -5/4
Point: (1,2)
y-2 = -5/4 (x -1)
y - 2 = -5/4x +5/4
y = -5/4x + 5/4 + 2
y = -5/4x + 13/4
g(n)=n^3+n
g(-3)
help!
Karim is ordering video games. Each game costs 39.99$, and there is a 4.85$ shipping charge per order. How much will it cost him to order any number of video games?
Answer:
Each game would be 44.84 per order, so 2 games would be 89.68 and so forth.
Step-by-step explanation:
Take 39.99 and add 4.85 and that gives you the total for 1 game per order.
If the length of a rectangle is doubled and the width is tripled then the area
of the rectangle is multiplied by?
Answer:
The total area is multiplied by 6
Step-by-step explanation:
simplify by combing like terms 3(a-b)/9 +4/9b
Answer: 3a+b/9
(the slash represents a fraction so the answer is a fraction)
Step-by-step explanation:
Given f(x)=−2x+4−−−−−−−√, what is the relationship between f(x) and f−1(x)?
Drag and drop an inequality into each box to correctly complete each statement. help please
The domain of the function exists for when x ≤ 2 while the range exists for the value of y >0
For f⁻¹(x), the domain and the range exists on all real values
Given the expression
f(x)=√−2x+4
Get the inverse of the function f⁻¹(x)
ley u = f(x)
y = √−2x+4
Replace x as y
x = √−2y+4
Make y the subject of the formula
x² = -2y + 4
-2y = x²-4
y = (x²-4)/-2
Hence f⁻¹(x)= (x²-4)/-2
For f(x), the domain of the function exists for when x ≤ 2 while the range exists for the value of y >0
For f⁻¹(x), the domain and the range exists on all real values
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Billy had a farm with chickens, goats and cows. He wanted to know how many animals he had altogether, so he placed them in groups. he realised that he had 200 animals with 4 legs and 70 animals with 2 legs. if the no. of cows was 1/3 of the no of goats. how many cows are on the farm?
Answer:
190 goats
33 cows
70 chickens
If f(x) = -2x + 8, and f(k) = -10, what is the value
of k? step by step please
Answer:
Value of k is 9
Step-by-step explanation:
-2x + 8 = -10
-2x = -10 - 8
-2x = -18
x = -18/-2
x = 9
f(x) = f(k)
x = k
9 = k
Hello there!
We are given the function:
[tex] \displaystyle \large{f(x) = - 2x + 8}[/tex]
We want to find the value of k. First, we know that f(k) is -10. We substitute x = k and f(x) = -10.
[tex] \displaystyle \large{f(k) = - 2k + 8} \\ \displaystyle \large{ - 10 = - 2k + 8}[/tex]
Solving the equation. First, we subtract both sides by 8.
[tex] \displaystyle \large{ - 10 - 8 = - 2k +8 - 8} \\ \displaystyle \large{ - 18 = - 2k} \\ [/tex]
Divide both sides by -2.
[tex] \displaystyle \large{ \frac{ - 18}{ - 2} = \frac{ - 2k}{ - 2} } \\ \displaystyle \large{ 9= k}[/tex]
Therefore, k = 9
When we substitute k = 9 in f(k), the value is -10.
Let me know if you have any questions!
Topic: Linear Function
2.5t + 350 = 3t + 225? What is the soulution ?
Answer:
t = 41.6 (the 6 is repeating)
Step-by-step explanation:
2.5t + 350 = 3t + 225
Subtract 2.5t from both sides to get:
350 = 3t + 225
Now subtract 225 from both sides to get:
125 = 3t
Divide both sides by three.
t = 41.6 (the 6 is repeating)
SOMEONE PLEASE HELP!
PLEASE!!
Answer:
55-9
Step-by-step explanation:
you subtract
A pound of chocolate costs 7 dollars. David buys p pounds. Write an equation to represent the total cost c that David pays.
Answer:
C = 7p
Step-by-step explanation:
Each pound costs 7 dollars, and he buys P, an unknown amount. This equals C.
Which of the following numbers is irrational? A. V50 B. V169 C. 736 D. 225
A. √50 = 5√2 ≈ 7,07107
B. √169 = √13² = 13
C. 736
D. 225
2. Here is a polygon. Draw a scaled copy of the
polygon using a scale factor of 3.
A
B
D-
с c
A man har
A scale drawing is an illustration of shape where the accurate size of the new shape is in proportion to the previous shape.
Given that:
[tex]k = 3[/tex] --- the scale factor
From the given polygon, we have:
[tex]Side_1 = 8[/tex]
[tex]Side_2 = 6[/tex]
The corresponding sides of these two sides are:
[tex]Side_1 = 8 \times 3[/tex]
[tex]Side_1 = 24[/tex]
[tex]Side_2 = 6 \times 3[/tex]
[tex]Side_2 = 18[/tex]
See attachment for the scaled drawing
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Write an equation for each sentence and then solve.
The sum of two numbers is seventy-two. One of the numbers
is two times the other. What are the numbers?
Answer:
24 and 48
Step-by-step explanation:
let one number=x
the other number=2x
2x+x=72
3x=72
x=72/3=24
So one number is 24 and the other is 2(24)=48
Answer:
6 and 12 lol
Step-by-step explanation:
6(12)=72
12 is 6(2)
Help pleaseee
:)))))
12x - 10.5y - 48 = 0
______________
s = ut +1at^2, solve for a
[tex]s = ut + \frac{1}{2} a {t}^{2} \\ \\ \frac{1}{2} a {t}^{2} = s - ut \\ \\ a = (s - ut) \: \div (\frac{1}{2} {t}^{2}) \\ \\ a = (s - ut) \: \times ( \frac{2}{ {t}^{2} } ) \\ \\ a = \frac{2s - 2ut}{{t}^{2}} \\ \\ a = \frac{2s}{{t}^{2}} - \frac{2ut}{{t}^{2}} \\ \\ \\ a = \frac{2s}{{t}^{2}} - \frac{2u}{t} [/tex]
I hope I helped you^_^
In the figure below, which term best describes point X?
A. Circumcenter
B. Orthocenter
C. Centroid
D. Incenter
In the given figure, the point X represents centroid. The correct option is C.
What is centroid?A centroid is the point of intersection of all the medians of a triangle in geometry. The medians of a triangle are the line segments that connect each vertex to the opposite side's midpoint.
The centroid is also known as the triangle's "centre of mass" or "centre of gravity" because it is the point at which the triangle could be balanced if cut out of a piece of cardboard or other thin material.
Circumference is defined as the point at which three perpendicular bisectors intersect, which is incorrect because there is no indication of right angles.
The incenter is the point where the angle bisectors of the triangles meet, which is also not shown in the photo.
Thus, the correct option is C.
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Your question seems incomplete, the probable complete question is:
Use coordinate notation to enter the rule that maps each preimage to its image. Then ic
transformation and confirm that it preserves length and angle measure.
A(-5,5) ► A'(5,5)
B(-2,2) B'(2, 2)
C(-3,2) → C'(2,3)
The transformation is a rotation of ?
(x,y) →
° clockwise about the origin given by the rules
6
5
Coordinate geometry is the use of a 2D plane to represent points.
The transformation is a rotation of 270 degrees clockwiseThe transformation preserves length because the length of the image and preimage are the sameThe transformation preserves angles because the angles of the image and preimage are the sameGiven that:
[tex]A = (-5,5) \to A' = (5,5)[/tex]
[tex]B = (-2,2) \to B' = (2, 2)[/tex]
[tex]C = (-3,2) \to C' = (2,3)[/tex]
By observing the pattern of transformation, the rule is:
[tex](x,y) \to (y,-x)[/tex]
Hence, the transformation is a rotation of 270 degrees clockwise
The length is calculated using the following distance formula:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
So, we have:
[tex]AB = \sqrt{(-5 - -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]
[tex]BC = \sqrt{(-2 - -3)^2 + (2 - 2)^2} =1[/tex]
[tex]AC = \sqrt{(-5 - -3)^2 + (5 - 2)^2} =\sqrt{13[/tex]
And
[tex]A'B' = \sqrt{(5 -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]
[tex]B'C' = \sqrt{(2 - 2)^2 + (2 - 3)^2} =1[/tex]
[tex]A'C' = \sqrt{(5 - 2)^2 + (5 - 3)^2} =\sqrt{13[/tex]
By comparing the lengths of the image and the preimage, we can conclude that the transformation preserves length.
The measure of the angles is calculated as follows:
[tex]a^2 = b^2 + c^2 -2ab \cos A[/tex]
So, we have:
[tex]18 = 1 + 13 -2 \times 1 \times \sqrt{13} \cos C[/tex]
[tex]18 - 1 - 13= -2 \times 1 \times \sqrt{13} \cos C[/tex]
[tex]4= -2 \times 1 \times \sqrt{13} \cos C[/tex]
[tex]-2= \sqrt{13} \cos C[/tex]
Make cos C the subject
[tex]\cos C = -0.5547[/tex]
[tex]C = cos^{-1}(-0.5547)[/tex]
[tex]C = 124^o[/tex]
Also, we have:
[tex]\frac{a}{\sin A} =\frac{c}{\sin C}[/tex]
So, we have:
[tex]\frac{1}{\sin A} =\frac{\sqrt{18}}{\sin( 124)}[/tex]
[tex]\frac{1}{\sin A} =5.1175[/tex]
Rewrite as:
[tex]\sin A = \frac{1}{5.1175}[/tex]
[tex]\sin A = 0.1954[/tex]
[tex]A = \sin^{-1}(0.1954)[/tex]
[tex]A = 11^o[/tex]
Also, we have:
[tex]A + B + C = 180^o[/tex] --- sum of angles in a triangle
[tex]11 + B + 124 = 180^o[/tex]
Collect like terms
[tex]B = 180 -11 - 124[/tex]
[tex]B = 45[/tex]
Hence:
[tex]\angle A = 11[/tex] [tex]\angle B = 45[/tex] and [tex]\angle C = 124[/tex]
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which ratios that are equivalent to 20:12?
1. 60 : 36
2. 10 : 2
3. 5 : 2
4. 30 : 18
5. 24 : 16
Step-by-step explanation:
5:6
is your answer.
good morning
have a great day
The length of a new rectangular playing field is 7 yards longer than triple the width. If the perimeter of the rectangular playing field is 438 yards, what are its dimensions?
Answer:
Step-by-step explanation:
Width = w
triple the width = 3*w = 3w
Length = 7 yards longer than triple the width = 3w + 7
Perimeter = 438 yards
2*(length +width) = 438
2*(3w+ 7 + w) = 438 {Combine like terms}
2 * (4w + 7) = 438
2*4w +2*7 = 438 {Use distributive property}
8w + 14 = 438 {Subtract 14 from both side}
8w = 438 - 14
8w = 424 {Divide both sides by 8}
w = 424/8
w = 53 yards
Length = 3*53 +7 = 159 + 7 = 166 yards
Width = 53 yards
Length = 166 yards
