Answer:
Step-by-step explanation:
I'm assuming that the length of the spring is s and the mass of the object is m. If that be the case, the direct variation equation, which a line btw, is
s = km where k is the constant of proportionality. We have to solve for k, the slope of the line, in order to determine the model for this situation.
9 = k(30) so
[tex]k=\frac{9}{30}=\frac{3}{10}[/tex] Now that we know, the slope of the line, we can rewrite the equation with the slope in place:
[tex]s=\frac{3}{10}m[/tex], choice A.
Arrange in descending order.
10,-5,-1, 12, 0, -13
Answer:
12, 10, 0, -1, -5, -13
Step-by-step explanation:
Find the measure of
Answer:
74 degrees
.................
Answer:
74
Step-by-step explanation:
BEC and CED form a straight line so they add to 180
BEC+CED = 180
106+ CED = 180
CED = 180-106
CED = 74
Sammy and Hannah are finalists in a cooking competition. For the final round, each of them will randomly select a card without replacement that will reveal what their star ingredient must be. Here are the available cards:
Cabbage
Spinach
Kale
Leeks
Carrots
Turnips
Cabbage
Leeks
Spinach
Carrots
Kale
Turnips
Sammy and Hannah both want to get leeks as their star ingredient. Sammy will draw first, followed by Hannah.
What is the probability that NEITHER contestant draws leeks?
Round your answer to two decimal places.
The probability that neither of them draws the Leeks card is P = 4/6 = 0.667
Here we can assume that all the cards have the same probability of being randomly drawn.
The cards are:
Cabbage Spinach Kale Leeks Carrots TurnipsSo we have 6 cards. We want to find the probability that neither contestant draws the "Leeks" card.
Sammy draws first, the probability of drawing the Leeks card will be equal to the quotient between the number of Leeks cards (one) and the total number of cards (6).
Then the probability of drawing the leeks card is p = 1/6
This means that the probability of NOT drawing the leeks card is:
q = 1 - 1/6 = 5/6.
Now draws Hanna, now there are 5 cards in the deck (because one was already drawn). With the same approach as before, the probability of drawing the Leeks card is p = 1/5, then the probability of NOT drawing the card is:
q = 1 - 1/5 = 4/5.
The joint probability (this is, the probability of both of these events to happen together) is just the product of the individual probabilities.
Then the probability that neither of them draws the Leeks card is:
P = (4/5)*(5/6) = 4/6 = 0.667
If you want to learn more about probability, you can read:
https://brainly.com/question/24349426
Find the value of a,b,c and x from the following figure
Answer:
L=110
d=110
b=70
a=70
c=110
What is the vertex of g(x) = 3x2 − 12x + 7?
(−6, −5)
(−2, −5)
(2, −5)
(6, −5)
(h ,k) —> (2 , –5)
g(x)=3x²-12x+7 —> y= 3(x-2)²-5
y=a(x–h)²+k —> a= 3 , h=2 , k= –5
(h ,k ) —> (2, –5)
I hope I helped you^_^
Answer:
C, Option 2, or (2,-5)
Step-by-step explanation:
edge 2021
Jacob and Mirit decide to race their pet snails. Jacob's snail moves 25 inches per minute, and Mirit's snail travels 28 inches per minute. How far away from Jacob's snail will Mirit's snail be after an hour?
Answer:
180 inches
Step-by-step explanation:
25 inches per minute
in 1 hour (60 minutes) :
25*60 = 1500
28 inches per minute
in 1 hour (60 minutes) :
28 * 60 = 1680
1680-1500 = 180
Please help solve x and round all answers to the nearest tenth
2 similar cardboards have areas of 24cm square and 150cm square. if the length of the bigger one is 10cm, what is the length of the smaller one
Answer:
4 cm
Step-by-step explanation:
Given 2 similar figures with sides in ratio a : b , then
ratio of areas = a² : b²
let n be the length of the smaller one , then
ratio of sides = n : 10
ratio of areas = n² : 10² = n² : 100
Using proportion
( [tex]\frac{ratio}{area}[/tex] )
[tex]\frac{n^2}{24}[/tex] = [tex]\frac{100}{150}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3n² = 48 ( divide both sides by 3 )
n² = 16 ( take the square root of both sides )
n = [tex]\sqrt{16}[/tex] = 4
length of the smaller one is 4 cm
The graph of f(x) = |x| is translated 6 units to the right and 2 units up to form a new function. Which statement about the range of both functions is true?
The range is the same for both functions: {y | y is a real number}.
The range is the same for both functions: {y | y > 0}.
The range changes from {y | y > 0} to {y | y > 2}.
The range changes from {y | y > 0} to {y | y > 6}.
The range is the same for both functions: {y | y is a real number}.
Translation and range of a functionGiven the parent function expressed as f(x) = |x|. If the function is translated 6 units to the right and 2 units up to form a new function, the resulting function will be;
g(x) = |x + 6| + 2
The range is the value of the dependent variable for which it exist. For the given function, the range will exist on all real numbers.
Learn more on range of a function here: https://brainly.com/question/1466393
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Please hell the question is in the photo ^^
May be this.. you may find all the math answers in the app known as Gauth math so I would suggest you to download it .Thank you
Select the correct answer.
Simplify the following expression.
(3x^2 - 11x - 4) – (x – 2) (2x + 3)
Answer choices
5x^2 - 12x - 10
x^2 - 10x + 2
x^2 + 10x - 2
x^2 – 12x – 10
Answer:
x^2 -10x+2
Step-by-step explanation:
(3x^2 - 11x - 4) – (x – 2) (2x + 3)
FOIL
(3x^2 - 11x - 4) – (2x^2-4x+3x-6)
Combine like terms
(3x^2 - 11x - 4) – (2x^2 -x-6)
Distribute the minus sign
3x^2 - 11x - 4 – 2x^2 +x+6
Combine like terms
x^2 -10x+2
the diagonal of a square is 50cm long. how long are the sides of the square?
Find the measure of <3. 90 50 40 130
=============================================================
Explanation:
This figure is a kite since we have two pairs of adjacent sides that are congruent, but not all sides are the same length.
One property of kites is that the diagonals are always perpendicular (this applies to rhombuses as well). This means angle 3 is 90 degrees.
The measure of ∠3 is 90°
Because in a kite the diagonals bisects at 90°
Therefore ∠3 is 90°
Answered by Gauthmath must click thanks and mark brainliest
In a birthday party, a cake was cut into 30 equal sizes pieces. At the end of the party, 8 pieces were left. What was the percentage of cake consumped?
Answer:
73 1/3 %
Step-by-step explanation:
8 pieces were left
30-8 = 22 so 22 were consumed
22/30 is the percent consumed
.7333333
73.333333%
We know .333333333 is 1/3
73 1/3 %
The average weight of 10 boys is 77.0 pounds. If the
youngest boy is excluded, the average weight of the
9 remaining boys is 78.0 pounds. What is the weight,
in pounds, of the youngest boy?
Answer:
68 pounds.
Step-by-step explanation:
Find the total weight when there are 10 boys and when there are 9 boys then calculate the difference.
I'll let x = total weight.
[tex]\frac{x}{10}=77\\(10)\frac{x}{10}=77(10)\\x=770\\\\ \frac{x}{9}=78\\(9)\frac{x}{9}=78(9)\\x=702\\\\ 770-702=68[/tex]
Therefore, the youngest boy weighs 68 pounds.
{24a - 18b} =24a−18b I neeed help
0
(24a - 18b) = 24a - 18b
24a - 18b = 24a - 18b
collect like terms
24a - 24a = -18b + 18b
0 = 0
2/3 (9-12n)
plz tell me fast its urgent
no spam or i will report
Answer:
6 -8n
Step-by-step explanation:
2/3 (9-12n)
Distribute
2/3 *9 - 2/3 *12n
6 -8n
A rectangular rug has the perimeter of 36 feet. The length of the rug is twice the width. What is the length
Answer:
12 ft
Step-by-step explanation:
l = 2w
P = 2(l+w)
36 = 2(2w+w)
36 = 2(3w)
36 = 6w
Divide each side by 6
36/6 = 6w/6
6 =w
l = 2w
l = 2(6)
l = 12
PLEASE HELP!! Find the slant height of the come
Find the slope of the line graphed below.
Answer:
Y =1.2X +-1.6
Step-by-step explanation:
x1 y1 x2 y2
3 2 -2 -4
(Y2-Y1) (-4)-(2)= -6 ΔY -6
(X2-X1) (-2)-(3)= -5 ΔX -5
slope= 1 1/5
B= -1 3/5
Y =1.2X +-1.6
can anyone help with this? im confused
Find the measure of PR.
PLEASE HELP ASAP!!
A. 18
B. 19
C. 25
D. 22
Answer:
A. 18
Step-by-step explanation:
the equation :
RF×RS = PR×RQ
16×9 = PR × 8
144 = PR×8
PR = 144/8
PR = 18
If the length of FR is 16 units then the length of PR is 18 units which is option A.
What is circle?Circle is a figure whcih is having an arc showing points which are at equidistant from the centre point. The distance of arc from the centre point is known as radius.
How to find length?From the rule of tangents and point outside the circle we can say that,
RF×RS = PR×RQ
16×9 = PR × 8
144 = PR×8
PR = 144/8
PR = 18 units
Hence if the length of FR is 16 units then the length of PR is 10 units.
Learn more about circle at https://brainly.com/question/24375372
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Bobby think that 5^2 = 10. What is wrong with this answer
Answer:
see below
Step-by-step explanation:
5^2 means 5*5 not 5*2
5^2 = 5*5 = 25 not 10
Answer:
5*5 = 25
bobby mistake is doing 5*2 = 10
Step-by-step explanation:
In a sports club of 150 members, 88 play golf, 63 play bowls, and 45 play golf and bowls. Find the probability that:
a) a member plays golf only.
b) a member doesn't play golf or bowls.
pls explain too if u could. thanks!
Answer:
a) .287
b) .293
Step-by-step explanation:
The answers are boxed in red in the picture.
First I found how many people only golfed. Then I did the same for the people that only bowled. Next I found how many members didn't golf or bowl.
From there I found the probabilities by dividing
a.) # of members that only golf / total # of members
b.) # of members that don't bowl or golf / total # of members
Select the correct answer (for Edmentum/PLATO).
Which expression represents the series 1 + 5 + 25 + 125 + 625?
Answers attached in photo.
Answer:
Correct answer is A. Trust me
Step-by-step explanation:
CP = Rs 720 and SP = Rs 810
Answer:
Bro what to do in this question. Hope you understand me
I really need an answer as soon as possible. 10 pts worth it
Answer:
A. Correct: When we plug in g(x) for the x in f(x), we get H(x).
B. Correct: When we plug in g(x) for the x in f(x), we get H(x).
C. Correct: When we plug in g(x) for the x in f(x), we get H(x).
D. Correct: When we plug in g(x) for the x in f(x), we get H(x).
Step-by-step explanation:
Brainliest, please!
Find the common ratio of the geometric sequence 17, -51, 153, ...
Answer:
an = 17 ( − 3 ) n − 1
Step-by-step explanation:
Use the formula an = a 1 r n − 1 to identify the geometric sequence.
х
у
1
-4 -7
7
13
- 10
19
-13
3
Is the relationship shown by the data linear? If so, model the data with an equation.
Answer:
Yes and the equation is 2y=-x-7
Step-by-step explanation:
Yes the relation is linear, the slope of the equation will be - 3/6=-1/2, the equation of line will be y=(-1/2)x-3.5. 2y=-x-7
intergrate x×(x²-3)³
Answer: [tex]\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}[/tex]
Step-by-step explanation:
[tex]\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c[/tex]
