Answer:
40
Step-by-step explanation:
The denominators are 4, 5, and 8.
Write the prime factorizations:
4 = 2²
5 = 5
8 = 2³
To find the least common denominator, multiply the prime numbers with the highest exponents.
2³ × 5 = 40
Answer:
LCD=40
EXPLANATION= To find the least common denominator first convert all integers and mixed numbers (mixed fractions) into fractions. Then find the lowest common multiple (LCM) of the denominators.
Which electron configuration represents the electrons of a sulfur atom in an excited state? Choice number 2 (1) 2-6-6 (3) 2-8-4 (2) 2-7-7 (4) 2-8-6 I NEED HELP FAST
Answer:
(3) 2-8-4
Step-by-step explanation:
Sulphur has an atomic number of 16
sulphur can exist in 3 different excited states of +2, +4 and +6
electronic configuration of sulphur is 2,8,6
when excited, it loses 2 electrons to enter the +2 state
in the +2 state, the electronic configuration will be 2,8,4
Mardi received an inheritance of $40,000. She invested part at 9% and the rest at 12%. Her total annual income from the investments was $3900. Find the amount she invested at 9%
Answer:
She invested $30,000 at 9%
Step-by-step explanation:
Let the amount invested per percentage be $x and $y respectively
Total investment is 40,000
This means that;
x + y = 40,000 ••••••••••(i)
Now for her income;
9/100 * x = 9x/100
for the 12% = 12/100 * y = 12y/100
Now;
9x/100 + 12y/100 = 3,900
9x + 12y = 390000 •••••••••(ii)
we solve both simultaneously
From i, y = 40,000-x
Substitute this into ii
9x + 12(40,000-x) = 390,000
9x + 480,000-12x = 390,000
3x = 480,000-390,0000
3x = 90,000
x = 90,000/3
x = $30,000
A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, f(x) has the entries, 3, 3, 3, 3, 3, 3. A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, g(x) has the entries, 4, 3, 2, 1, 0, negative 1. The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true? x =
The input value for which f(x) = g(x) is true is -1
The formula for calculating the equation of a line is expressed as:
[tex]y=mx+b[/tex]
m is the slope
b is the y-intercept
For table 1,
Get the slope:
[tex]Slope=\frac{3-3}{3-2}\\Slope =\frac{0}{1} \\Slope =0[/tex]
Use the coordinate (-2, 3) and m = 0 to get the value of "b"
[tex]y=mx+b\\3 = 0(-2) + b\\b = 3[/tex]
The required function for table 1 is f(x) = 3
For table 2:
Get the slope:
[tex]Slope=\frac{0-1}{3-2}\\Slope =\frac{-1}{1} \\Slope =-1[/tex]
Use the coordinate (-2, 4) and m = -1 to get the value of "b"
[tex]y=mx+b\\4 = -1(-2) + b\\b = 4-2\\b=2[/tex]
The required function for table 2 is g(x) = -x + 2
If the function f(x) = g(x), hence:
-x + 2 = 3
-x = 3 - 2
-x = 1
x = -1
Hence the input value for which f(x) = g(x) is true is -1
Learn more here: https://brainly.com/question/16097244
Answer: -1
Step-by-step explanation:
Choose the correct possessive word or phrase. Las sillas son _____. nuestra nuestras
Answer:
Its Las sillas son nuestras
Step-by-step explanation:
On Edge 2021
Answer:
nuestras
Step-by-step explanation:
I need help ASAP can someone please help me right away
Answer:
0 degrees?
Step-by-step explanation:
It looks perfectly even to me
3a2+4b for a=2 and b=3
Please answer correctly !!!!!!!!!! Will mark brianliest !!!!!!!!!
Answer:5 milllion
And the minimum is 25
Step-by-step explanation:
Can someone help me with this ASAP please 50 points!!!
Answer:
a = 17 sqrt(2)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite / hypotenuse
sin 45 = 17/a
Multiply each side by a
a sin 45 = 17
Divide each side by sin 45
a = 17 / sin 45
a = 17 / ( 1 / sqrt(2))
a = 17 sqrt(2)
solve for a: 60a - 80a ≥ -64 -92
Answer:
a≤39/5
Step-by-step explanation:
60a - 80a ≥ -64 -92
-20a≥-156
a≤156/20
a≤39/5
Katie loves to read! In the last few months she has read 3 graphic novels, 2 mysteries, 4 sci-fi novels, and 21comic books. What is the ratio of sci-fi novels to comic books?
Answer:
The answer is 4:21
Step-by-step explanation:
can someone help and explain
Answer: 4
Step-by-step explanation:
6 times 2 = 12 on the bottom so on the top you do the same thing. 2 times 2 is 4.
Answer:
2/12
Step-by-step explanation:
because when u multiple 2×6=12
so when u get 12 u think of multiplying it by 2 ,
2×2=4
Estimate an 18% tip for a $30.80 meal. A. $5.50 B. $9.10 C. $3.08 D. $1.80
Answer:
A
Step-by-step explanation:
18%=18/100=0.18
0.18*30.80=5.544 or about $5.50. Hope this helps!
Since 2 is further left on a number line than 5, 2 < 5. Let’s consider the opposites of these numbers. Identify the opposite of 2 on the number line. Identify the opposite of 5 on the number line. Using your results, which statement is true? Since –2 is further .
Answer:
Step-by-step explanation:
Identify the opposite of 2 on the number line.
✔ –2
Identify the opposite of 5 on the number line.
✔ –5
Using your results, which statement is true?
Since –2 is further
✔ right on the number line, –2 > –5
.
this is the answer
The correct state would be negative 2 is greater than negative 5.
Opposite of the numbersThe opposite of the numbers can be obtained changing the positive numbers to negative equivalent of the number as follows;
opposite of 2 = -2opposite of 5 = -5From the initial given expression, 2 < 5, that is 2 is less than 5.
From the opposite numbers, -2 > - 5, that is negative 2 is greater than negative 5.
Thus, the correct state would be negative 2 is greater than negative 5.
Learn more about number lines here: https://brainly.com/question/24644930
The volume of a cube is 500 cubic feet. What is the length of each edge of the cube?
It has to be in a square root form
Answer:
The principal, real, root of:
²√7.937005259841 = 2.81726911
All roots:
2.81726911
−2.81726911
7.937005259841 is not a perfect square
Step-by-step explanation:
side length a = 7.937005259841 ft
face diagonal f = 11.224620483094 ft
solid diagonal d = 13.747296369986 ft
surface area S = 377.97631496846 ft2
volume V = 500 ft^3
find the values of a, b and c in the equation below (x^5yz^4)^3/x^3yz= x^a y^b z^c
Answer: a = 12, b = 2, c = 11
Step-by-step explanation:
Using exponent rules we can distribute the exponent of 3 to the xyz.
This results in the numerator now being. [tex]x^{5*3}+y^{1*3}+z^{4*3}\\[/tex] This can be simplified to, [tex]x^{15}y^{3}z^{12}\\[/tex].
Now divide the numerator by the denominator subtracting the exponents.
Which equals, [tex]x^{12}y^{2}z^{11}[/tex]
So a = 12
b = 2
and
c = 11
The values of [tex]a, \ b,\ c[/tex] are [tex]12,\ 2,\ 11[/tex] .
What are exponent ?Exponent indicates that the base is to be raised to a certain power. So, it is the power of the base.
We have,
[tex]\frac{(x^5yz^4)^3}{x^3yz}=x^ay^bz^c[/tex]
Now simplify the above given equation;
[tex]\frac{(x^5*3y^1*3z^4*3)}{x^3yz}=x^ay^bz^c[/tex]
[tex]\frac{(x^{15}y^3z^{12})}{x^3yz}=x^ay^bz^c[/tex]
Now, Using the exponent rule;
[tex]\frac{a^n}{a^m} = a^{n-m}[/tex]
So,
[tex](x^{15-3}y^{3-1}z^{12-1})=x^ay^bz^c[/tex]
[tex](x^{12}y^{2}z^{11})=x^ay^bz^c[/tex]
Now,
As we see variables on both sides of equation are same (i.e. bases of powers are same), so now compare the powers of sides of variables;
⇒ [tex]x^{12}=x^a[/tex]
[tex]a=12[/tex],
And, [tex]y^2=y^b[/tex]
[tex]b=2[/tex]
And, [tex]z^{11}=z^c[/tex]
[tex]c=11[/tex]
So, the values of [tex]a, \ b,\ c[/tex] are [tex]12,\ 2,\ 11[/tex] which are find out using the exponent rule.
Hence, we can say that the values of [tex]a, \ b,\ c[/tex] are [tex]12,\ 2,\ 11[/tex] .
To know more about exponent click here
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Please help, look at the image. Thank you!
Answer:
x(3+4)=4(x+3), (x+2)+5(x-1)=3(x+3)
Step-by-step explanation:
x(3+4)=4(x+3)
3x+4x=4x+12
7x=4x+12
Subtract 4x by both sides
3x=12
Divide 3 by both sides to get x=4
4x+5=3(x+2)
4x+5=3x+6
Combine Like terms
1x+5=6
Subtract 5 from both sides
x=1
(x+2)+5(x-1)=3(x+3)
x=4
If g(x) = x² + 1, what is the value of g(-3)?
Answer:
g(-3)=10
Step-by-step explanation:
We want to find what g(x), or y is, when x is equal to -3.
g(x)== x² + 1
x= -3
Substitute -3 in for x.
g(-3)=(-3)²+1
Evaluate the exponent first. -3² is equivalent to -3*-3, which is equal to 9.
g(-3)=9+1
Add 9 and 1
g(-3)=10
Answer:
Step-by-step explanation:
g(x)=x^2+1
at g(-3) = (-3)^2+1
=9+1=10
if be=2x+6 and df=5x+9 find df
what is
4x2 + 2x - 7 = 0
Answer:
x = [tex]\frac{-1}{4} + \frac{1}{4} \sqrt{29}[/tex]
Step-by-step explanation:
For this equation: a=4, b=2, c=-7
4x²+2x+−7=0
Step 1: Use quadratic formula with a=4, b=2, c=-7.
x= [tex]\frac{-b + \sqrt{bx^{2}-4ac } }{2a}[/tex]
x = −(2)±√(2)2−4(4)(−7) ÷ 2(4)
x = −2±√116 ÷ 8
x = [tex]\frac{-1}{4} + \frac{1}{4} \sqrt{29}[/tex]
y = –5x + 30 x = 10 What is the solution to the system of equations? (–20, 10) (10, –20) (10, 4) (4, 10)
Answer:
(10, - 20 )
Step-by-step explanation:
Given the 2 equations
y = - 5x + 30 → (1)
x = 10 → (2)
Since the value of x is given substitute x = 10 into (1) for y
y = - 5(10) + 30 = - 50 + 30 = - 20
Solution is (10, - 20 )
Answer:
(10, -20)
Step-by-step explanation:
y = –5x + 30
x = 10
------
x=10 ⇒ y= -5*10+30= -20
Then solution is (10, -20)
Please answer correctly !!!!!! Will mark brainliest !!!!!!! No explanation needed !
Answer:
3x = 14
Step-by-step explanation:
5x - y = 6
-2x +y = 8
===================
3x+0y = 14
3x = 14
Answer:
3x = 14
Step-by-step explanation:
5x - y = 6
-2x +y = 8
3x+0y = 14
3x = 14
RS = 6(x-2) + 6 and RT = 4(2x-6)
5.2 Bisectors in Triangles
10
9
12
15
i need help plzz help!!
Answer:
it's 2 because it's the smallest number
Which statement is true for the vertical number line?
Answer:
a is correct
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Because -4 4/5 is FAR below 4 2/5
can someone help me please
Consider this right triangle with the given measures.
Answer:
13
Step-by-step explanation:
We were already given the formula and were left with [tex]169 = c^2[/tex].
To find c we would find what by itself equals 169.
We know [tex]12 * 12[/tex] is 144
so its greater than 12
we also know that 13 * 13 is 169
so c would be equal to 169
I need help, please help meee
Answer:
[tex] 30\: m^2 [/tex]
Step-by-step explanation:
For triangle:
Base = (4 + 3 +1) m = 8 m
Height = 9 m
For rectangle:
Length = 3 m
width = 2 m
Area of shaded region = Area of triangle - Area of rectangle
[tex]= \frac{1}{2}\times base\times height-length \times width \\\\= \frac{1}{2} \times (4 + 3 + 1) \times 9 - 3 \times 2 \\ \\ = \frac{1}{2} \times 8 \times 9 - 6 \\ \\ = 4 \times 9 - 6 \\ = 36 - 6 \\ = 30 \: {m}^{2} [/tex]
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
I think the awnser should be A
Michael is 4 times as old as Brandon and is also 27 years older than Brandon. Please answer CORRECTLY !!!! Will mark brainliest !!!!!!
Answer:
108
Step-by-step explanation:
Mike's current age, be M
Then Brandon's is: M - 27
Also, M = 4(M - 27)
M = 4M - 108
M - 4M = - 108
- 3M = - 108
The International Business Club starts the school year with $250.50 in their account. They spend $35 each month on activities. The Future Agricultural Leaders Club starts with $300 and spends $45.25 each month.
Answer:
250.5 - 35m = 300 - 45.25m
Complete question:
Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?
250.5 + 35m = 300 + 45.25m
250.5 – 35m = 300 – 45.25m
250.5m – 35 = 300m – 45.25
250.5m + 35 = 300m + 45.25
Step-by-step explanation:
For The International Business Club: y = 250.50 - 35m,
For The Future Agricultural Leaders Club: y = 300 - 45.25m.
So the answer is 250.5 - 35m = 300 - 45.25m
250.5 – 35m = 300 – 45.25m
Explanation:
It's this one because the initial for international Business Club is $250.50 and their monthly spending is $35, and for Future Agricultural Leaders Club their initial is $300 and their monthly spending is $45.25
So, the equation would be 250.5 – 35m = 300 – 45.25m