Answer:
g = 1.78
Step-by-step explanation:
Given that,
d varies jointly as h and g.
[tex]d=khg[/tex] .....(1)
Where
k is constant of proportionality.
Put d=15, h= 14 and g=5 in equation (1) to find k.
[tex]k=\dfrac{d}{hg}\\\\k=\dfrac{15}{14\times 5}\\\\k=\dfrac{3}{14}[/tex]
Now, put k = 3/14, h = 21 and d = 8 in equation (1) to find g.
[tex]g=\dfrac{d}{kh}\\\\g=\dfrac{8}{\dfrac{3}{14}\times 21}\\\\g=1.78[/tex]
So, the required value of g is 1.78.
What is the LCM of 2 and 3
The answer is 6
Answer:
6
Step-by-step explanation:
the lowest common factor is 6
What is the solution to this system of equations? x + 2y = 9 3x - 2y = 3 A.(3, 3) B.(3,5) C. (4, 12) D. (9,7)
9514 1404 393
Answer:
A. (3, 3)
Step-by-step explanation:
The coefficients of y are opposites, so adding the two equations will eliminate y.
(x +2y) +(3x -2y) = (9) +(3)
4x = 12 . . . simplify
x = 3 . . . . . divide by 4
Using the first equation, we can find y:
3 +2y = 9 . . . . . .substitute for x
2y = 6 . . . . . . . . subtract 3
y = 3 . . . . . . . . . . divide by 2
The solution is (x, y) = (3, 3).
_____
Additional comment
For this problem, it is easy to just try the answers. You don't have to go far to show the first answer (A) satisfies both equations.
3 + 2(3) = 9; 3(3) -2(3) = 3
At that velocity voyager 1 would have traveled 547,500,000 kilometers in a year. Whats that in scientific notation ?
Answer: 5.475 x 10^8
Step-by-step explanation: The number has to be in between 1 and 10 so you move your decimal as many times as you need to. In this situation it is 8, so that is your power
PLEASE HELP!!!! Jina has d decks of cards. Each deck has 52 cards in it. Using d, write an expression for the total number of cards Jina has.
Answer:52d
Step-by-step explanation:For example, Jina has three decks. 52 times 3 equal how much cards she has.
simplify
( 5w + 13 ) + ( 2w + 1)
Answer:
10w^2 + 24w + 13
Step-by-step explanation:
use Foil method
Answer:
7w+14
Step-by-step explanation:
Need help on this question it’s about angles !
4) Terry missed the sale on a $210 jacket. When he went to purchases it,
he jacket increased to a cost of $262.50 By what percent did the jacket
ncrease in price?
Answer:
The jacket increase by 25% in price.
Step-by-step explanation:
Given that:
Sale price of jacket = $210
New cost of jacket = $262.50
Change = New cost - Sale price
Change = 262.50 - 210 = $52.50
Percent increase = [tex]\frac{Change}{Sale\ price}*100[/tex]
Percent increase = [tex]\frac{52.50}{210}*100[/tex]
Percent increase = 0.25 * 100
Percent increase = 25%
Hence,
The jacket increase by 25% in price.
Need help ASAP
Will make you brainlist
Which number is a perfect cube?
25
36
125
300
25 is a perfect cube I believe
Answer:
125
Step-by-step explanation:
Coz,
3√125 = √5×5×5
= 5
you better do it right
Answer:
x = 28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
7 divided by 1/4
then you get you answer
=28
hoped this helped, have a good day! c:
8d + 4 + 7f (d = 3 and f = 2)
Answer:
42
Step-by-step explanation:
8(3)+4+7(2)=24+4+14
= 42
Answer:
42? I multiplied 8 • 3 and then added 4. That gave me 28. I multiplied 7 • 2 and got 14. Finally, I added 28 + 14 and got 42
Step-by-step explanation: sorry if i’m wrong:((
for the figure below, give the following
Which value for x makes the sentence true?
Answer:
x=2
Step-by-step explanation:
1/16 x 2=1/8
X=2
Hope this helps
also if u click the crown it marks brainliest but you can only do it when two people answer.
I just wanted to say that just incase u didnt know because I didnt know lol
what you did to solve this problem?
0.5x = 4.3
plz help me with this no one understands how to
Answer:
x=8.6
Step-by-step explanation:
0.5x=4.3
/0.5 /0.5
x=8.6
simplify 8x + 4 - y + x + 17.
Answer:
9x-y+21
Step-by-step explanation:
hope this helps
Answer:
9x - y + 21
Step-by-step explanation:
Brandon and his friend adam both mow lawns.Brandon earns $375 per week mowing 15 lawns while Adam earns $500 per week mowing 25 lawns. Who has a greater average rate of change?
Theo Norton is age 18 his driver factor is 2.30 the family car is classified c 15 the insurance Theo has is 50000 property damage 100/300 bodily injury 50 deductible comprehensive and 50 deductible collision what is the annual premium
Answer:
$ 20,025
Step-by-step explanation:
Maria thinks the two expressions 2(3a-2) + 4a and 10a - 2 are equivalent. Is she correct? Explain your reasoning.
Answer:
yes they are both equal
Step-by-step explanation:
they are both equal because 2(3a-2)+4a simplified is 10a-2 because if you combine like terms you will have this result!
hope i was clear
have a good day! c:
The price of the tennis racket was 200 dollars. However, the actual price of the tennis racket was 400 dollars. What is the percent error?
Given,
The price of the tennis rocket = $200
The actual price of the tennis racket was $400
To find,
The percentage error in the price of the rocket.
Solution,
The percentage error is calculated as :
% = (final value-actual value)/actual value × 100
[tex]\%=\dfrac{400-200}{400}\times 100\\\\=50\%[/tex]
So, the percent error is 50%.
consider functions f and g
f(x)=4(x-3)^2+6
g(x)=-2(x+1)^2+4
which statements are true about the relationship between the function
1. The vertex of function g is 2 units below the vertex of function f
2. Function g opens in the opposite direction of function f
3. The vertex of function g is 4 units to the left of the vertex of function f
4. The vertex of function g is 4 units to the right of the vertex of function f
I think 1,2, 3 are correct Please verify
Answer:
1, 2, 3 are correct
Step-by-step explanation:
I got lazy and just graphed it
The correct statements are 1,2 and 3.
"The vertex of function g is 4 units to the left of the vertex of function f."
"The vertex of function g is 2 units below the vertex of function f."
"Function opens in the opposite direction of function f."
What is the quadratic function?In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree.
Here we have the two quadratic functions:
f(x) = 4(x - 3)²+ 6
g(x) = -2(x + 1)²+ 4
The x-value of the vertex is the value of x such that the first term becomes equal to zero, so for f(x) the vertex is at x = 3, and the y-value of the vertex is:
f(3) = 0 + 6 = 6
So the vertex is (3, 6)
For g(x) we can see that the vertex is at x = -1, and:
g(-1) = 0 + 4=4
So the vertex is at (-1, 4)
Also, you can see that for g(x) and f(x) the leading coefficients are of different signs. Meaning that f(x) opens upwards and g(x) opens downwards.
Hence, options 1,2 and three are correct answers.
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Tickets to a show cost $5.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets. What is the exact cost for the entire family?
Answer:
23.75
Step-by-step explanation:
You first multiply 2 by 5.50 you'll get 11.00. Then you multiply 4.25 by 3 you'll get 12.75. Then you add 11.00+12.75
CHOOSE 2 triangle that’s are similar
Answer: The second and third one :)
Step-by-step explanation: the third one is a twice as large version of the second very similar :)
The diameter of the circle above is 12 cm. What is the circumference of the circle? (Use = 3.14.)
Answer:
37.68
Step-by-step explanation:
i had this one
Put the lowest number on left, 5/6, 2/3, 1/2
Answer:
Step-by-step explanation:
1/2 , 2/3 , 5/6
What is the quotient of k
Lines a and b in the diagram are parallel. Parallel lines a and b are cut by 2 transversals. At the intersection of line a with the transversals, clockwise from top left, the angles are 45 degrees, 95 degrees, blank, blank, B, 40 degrees. At the intersection of b with a transversal, the angles are blank, A, blank, blank. At the intersection of b with the second transversal, the angles are C, blank, blank, blank. Step 1: measure of angle A = 40 degrees (alternate interior angles). Step 2: measure of angle B = 95 degrees (vertical angles). Step 3: measure of angle C = 40 degrees (corresponding angles). Shalini found the sum of the measures of the interior angles of the triangle to be 175°. She knows the sum is supposed to be 180°. What was Shalini’s error? m∠A = 45° m∠B = 85° m∠C = 45° Shalini did not add the sum of the 3 angles correctly.
Answer:
C the answer is C
Step-by-step explanation:
Answer: the other person is right its C: m∠C = 45°
Step-by-step explanation:
Larry can type 225 words in 3 minutes how many words can he type in 10 minutes?
Answer:
750 words in 10 minutes
Step-by-step explanation:
225÷3= 75
75×10 minutes= 750 words
Answer:
750
Step-by-step explanation:
Step 1: 225 words ÷ 3 minutes = 75 words per minute
Step 2: 75 words per minute • 10 minutes = 750 words in 10 minutes
Let A,B, and C be square invertible matrices of the same size. If C has no eigenvalue equal to -1, then (AB + ACB)^-1 is equal to:
a. B^-1 (I + C)^-1*A^-1
b. (I + C)^-1*B^-1*A^-1
c. A^-1B*(I + C)^-1
d. (I + C)^-1*BA^-1
AB + ACB = A (B + CB) = A (I + C ) B
Taking the inverse gives
(A (I + C ) B)⁻¹ = B ⁻¹ (I + C )⁻¹ A ⁻¹
so the answer is (A)
A,B, and C are square invertible matrices of the same size.The correct option is a. [tex]\(A^{-1}(I + C)^{-1}B^{-1}\)[/tex].
Given A, B, and C as square invertible matrices of the same size, we want to find [tex]\((AB + ACB)^{-1}\)[/tex].
Step 1: Factor out B from the expression inside the parentheses:
[tex]\(AB + ACB = B(A + AC)\)[/tex]
Step 2: Use the property that [tex]\((X + Y)^{-1} = Y^{-1}X^{-1}\)[/tex] for invertible matrices X and Y:
[tex]\((AB + ACB)^{-1} = (B(A + AC))^{-1} = (A + AC)^{-1}B^{-1}\)[/tex]
Step 3: Now, use the distributive property of matrix inversion, which states that [tex]\((XY)^{-1} = Y^{-1}X^{-1}\)[/tex] for invertible matrices X and Y:
[tex]\((A + AC)^{-1} = A^{-1}(I + C)^{-1}\)[/tex]
Step 4: Substitute this back into the expression from Step 2:
[tex]\((AB + ACB)^{-1} = (A + AC)^{-1}B^{-1} = A^{-1}(I + C)^{-1}B^{-1}\)[/tex]
So, the correct option is: a. [tex]\(A^{-1}(I + C)^{-1}B^{-1}\)[/tex]
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(2m+7)^3 written in standard form
Answer:
2
m
2
+
7
m
−
3
Step-by-step explanation:
2
m
2
+
7
m
−
3
Subtract. Write your answer as a fraction in simplest form. 5/12- 1/12 =
Answer:
4/12
Simplest form= 1/3
Step-by-step explanation:
Hope this helps!
5/12-1/12 = 4/12
4/12 divided by 4 = 1/3
The simplest form is 1/3.
What is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
5/12- 1/12
Now, we have to subtract the fraction by focusing the numerator as
=5/12 - 1/12
=(5-1)/12
=4/12
=1/3
Hence, the simplest form is 1/3.
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