Answer:
The amount of energy they carry is related to their frequency and their amplitude.
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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)
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.
What is the value of the expression 8\times4^2+10-5\times108×4
2
+10−5×10 ?
Answer:
8 x 4² + 10 - 5 x 108 x 42 + 10 - 5x10
8 x 16 + 10 - 22680 + 10 - 50
128 -22710 = -22528
CMIIW
I can't understand with your question but I think the qustion is like ☝
The value of the expression 8 x 4² + 10 - 5 x 108 x 42 + 10 - 5 x 10 is -22,582
To calculate the value of the given expression 8 x 4² + 10 - 5 x 108 x 42 + 10 - 5 x 10.
we need to follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.
Let's break down the steps:
Calculate the exponent: 4² = 4 x 4 = 16.
Multiply 8 by 16: 8 x 16 = 128.
Multiply 5 by 108: 5 x 108 = 540.
Multiply 540 by 42: 540 x 42 = 22,680.
Multiply 5 by 10: 5 x 10 = 50.
Now, the expression becomes: 128 + 10 - 22,680 + 10 - 50.
=-22,582
Therefore, the value of the expression 8 x 4² + 10 - 5 x 108 x 42 + 10 - 5 x 10 is -22,582
To learn more on Expressions click:
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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:
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
Find the next two
numbers in the
sequence. What is
the rule?
100, 25, 50, 12:5, 25,
Answer:
6.25, 12.5
Step-by-step explanation:
The sequence goes divide by 4 then multiply by 2
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)
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
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
Evaluate c - 2 when c = 7.
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^_^
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]
There are 7 unique names in a bowl. In how many orders can 2 names be chosen? Hint: The word orders
implies that each unique order of two names is counted as a possibility.
Answer:
2/7
Step-by-step explanation:
Probability=number of names chosen/total number of names
p=2/7
Here in this question order is mentioned so we will use permutation.
and the formula is P(n,r) = [tex]\frac{n!}{(n-r)!}[/tex]
What is permutation and combination ?When the order of selecting something doesn't matter we use combination and when order of selection matters we use permutation.
In the given question number of unique names (n) = 7 and we are taking 2 names at a time.So the permutation of 7 names takes 2 at a time is P(7,2) =
[tex]\frac{7!}{(7-2)!}[/tex] = [tex]\frac{7!}{5!}[/tex] = [tex]\frac{7*6*5*4*3*2*1}{5*4*3*2*1}[/tex] = 7x6 = 56.
So, the number of ways of selecting is 56.
Learn more about Permutations and Combinations here :
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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]
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
Help pleaseee
:)))))
12x - 10.5y - 48 = 0
______________
g(n)=n^3+n
g(-3)
help!
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]
Read more about coordinate geometry at:
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lfp(x)=x2+2x-5 and qx)=x-3, what is p(x) - q\x)?
Answer:
x^2 +x -2
Step-by-step explanation:
p(x)=x^2+2x-5
q(x)=x-3
p(x) - q(x)=x^2+2x-5 - ( x-3)
Distribute the minus sign
= x^2+2x-5 - x+3
=x^2+2x-x-5+3
=x^2 +x -2
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
Rewrite in the simplest terms: 8k - 9(4k +4)
8k - 9(4k + 4) = 8k - 36k - 36 = -28k - 36
Let's rewrite in the simplest term,
→ 8k - 9(4k + 4)
→ 8k - 36k - 36
→ [-28k - 36]
The simplest term is -28k - 36.
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
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
Find the perimeter. Simplify your answer.
6+3
6+3
80-3
(6u+3)+(6u+3)+(8u-3)
=6u+3+6u+3+8u-3
=20u+3
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.
?????????????????????????????
Answer:
∠ WMX = 65°
Step-by-step explanation:
∠ WMX = ∠ VMX - ∠ VMW = 90° - 25° = 65°
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 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:
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
how many 2/3 cup servings are there in 6 cups of fruit
Answer:
9 cups
Step-by-step explanation:
6 ÷ 2/3
6/1 ÷ 2/3
6/1 x 3/2 = 18/2 = 9/1 = 9
