Given that a varied inversely as b, and b varies directly as the square of c, and a=1 when c=3 find the value of a when c=1/3
Please I need solvings for this thanks
Answer:
81
Step-by-step explanation:
When two variables have direct variation, as one variable increases the other variable increases or as one variable decrease, the other decrease. While for an inverse variation, as one variable increase, the other variable decrease or as one variable decrease, the other variable increase.
Given that a ∝ 1/b. Also b ∝ c².
Hence if k is the constant of proportionality, we have:
a ∝ 1 / c²
a = k / c²
When a = 1, c = 3, hence:
1 = k / 3²
k = 1 * 3²
k = 9
Therefore:
a = 9 / c²
When c = 1/3
a = 9 / (1/3)²
a = 9 / (1² / 3²)
a = 9 / (1 / 9)
a = 9 * 9
a = 81
Simplify (-4x²+3x - 5) + (2x² +6x+7)
x
2V2
45°
у
4V6
A) X= 4, y=
3
B) x=4V2, y=2V2
C) x = 4, y = 2V2
416
D) x=4V2, y=
3
Answer:
c
Step-by-step explanation: since i helped can i have brainlist please :D
Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.
[tex]5 - 2x^2 = - 15[/tex]
Answer:
[tex]x=\sqrt{10}[/tex]
Step-by-step explanation:
The given equation is :
[tex]5-2x^2=-15[/tex]
We need to solve it using inverse operations.
Subtract 5 from both sides of the equation.
[tex]5-2x^2-5=-15-5\\\\-2x^2=-20\\\\2x^2=20\\\\x^2=10\\\\x=\sqrt{10}[/tex]
So, the solution of the given equation is [tex]x=\sqrt{10}[/tex].
What point on the graph represents the unit cost at Florentino’s? What is the unit cost?
Answer: I think it 2,24
Step-by-step explanation:
Match the number or significant figure to the value or problem
Answer:
Which circumstance led the Confederacy to think that it could purchase weaponry and supplies to use in the Civil War?
A.
increased taxation on Southern states
B.
support from Britain and France
C.
an abundance of cotton in the Southern states
D.
profits from the large number of industries
Step-by-step explanation:
A contestant in a weight loss competition wants to lose an average of at least 8 pounds
per month during a 5-month period. In the first 4 months they have lost the following
weight: 12 lbs, 9 lbs, 5 lbs, 8 lbs. How many pounds must the contestant lose in the fifth
month to meet the goal?
Answer:
In the fifth month the contestant must lose 6 pounds of weight.
Step-by-step explanation:
Given that the contestant wants to lose an average of 8 pounds of weight per month for 5 months, taking into account that in the first 4 months of the contest he lost 12, 9, 5 and 8 pounds respectively, to determine how much weight he should lose in the fifth month the following calculation must be performed:
8 x 5 = 40 (pounds to lose)
12 + 9 + 5 + 8 = 34 (pounds lost)
40 - 34 = 6
Therefore, in the fifth month the contestant must lose 6 pounds of weight.
answer fast
Which statement is true?
If a relationship is non-linear, it is not a function.
A graph of a curve is linear.
A graph that shows a constant rate of change is linear.
A non-linear relationship has a constant slope.
Answer:
a graph of curve is linear
what is the answer 4/1
Answer: i can revise my answer if it's not what u meant, but.... 4/1 is equivalent to 4 wholes, or just 4.
Step-by-step explanation:
Write 2 7/10% as a fraction.
Step-by-step explanation:
Can you please reword your problem
Answer:
27/10
Step-by-step explanation:
The probability of a potential employee passing a training course is 86%. If you selected 15 potential employees and gave them the training course, what is the probability that more than 11 will pass the test?
a. 0.648
b.0.900
c. 0.352
d. 0.852
Answer:
d. 0.852
Step-by-step explanation:
For each employee, there are only two possible outcomes. Either they will pass the test, or they will not. The probability of an employee passing the test is independent of other employees. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability of a potential employee passing a training course is 86%.
This means that [tex]p = 0.86[/tex]
Sample of 15.
This means that [tex]n = 15[/tex]
What is the probability that more than 11 will pass the test?
[tex]P(X > 11) = P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 12) = C_{15,12}.(0.86)^{12}.(0.14)^{3} = 0.204[/tex]
[tex]P(X = 13) = C_{15,13}.(0.86)^{13}.(0.14)^{2} = 0.29[/tex]
[tex]P(X = 14) = C_{15,14}.(0.86)^{14}.(0.14)^{1} = 0.254[/tex]
[tex]P(X = 15) = C_{15,15}.(0.86)^{15}.(0.14)^{0} = 0.104[/tex]
[tex]P(X > 11) = P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.204 + 0.29 + 0.254 + 0.104 = 0.852[/tex]
The correct answer is given by option d.
ILL MARK BRAINLIEST
Answer:
7
Step-by-step explanation:
first,you need to create an eqaution and so since there are two bars,so its 2x-6=8
2x-6=8
+6=+6
cancel out(2x=14)
x=7
so, your answer is 7.hope this helps.
Given. R=0 3 -4 5 and S=-2 -8 0 2. what is X if X+R=S?
Answer:
[tex]X =\left[\begin{array}{cc}-2 &-11\\4 &-3\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]R =\left[\begin{array}{cc}0&3\\-4&5\end{array}\right][/tex]
[tex]S =\left[\begin{array}{cc}-2&-8\\0&2\end{array}\right][/tex]
[tex]X + R = S[/tex]
Required
Find X
[tex]X + R = S[/tex]
Make X the subject
[tex]X = S - R[/tex]
Substitute values for S and R
[tex]X =\left[\begin{array}{cc}-2&-8\\0&2\end{array}\right] - \left[\begin{array}{cc}0&3\\-4&5\end{array}\right][/tex]
This can be rewritten as:
[tex]X =\left[\begin{array}{cc}-2 -0 &-8 - 3\\0 - (-4) &2 - 5\end{array}\right][/tex]
[tex]X =\left[\begin{array}{cc}-2 &-11\\4 &-3\end{array}\right][/tex]
Rudo is making pizzas he needs 3/4 cup of cheese to make one whole pizza. he has 3/8 cup of cheese?
Answer is below
↓↓↓↓↓
PLS I need help!!!!!!
A 12 oz soda costs $1.25 in the vending machine. At that rate, how much would a
48 oz soda cost?
Answer:
$5
Step-by-step explanation:
48/12=4
1.25x4=5
Or you could set it up as a proportion
12/1.25=48/x
PLEASEE HELP!!
How long would it take a ball to reach the ground if the height was modeled by
h(t) = -4t2 + 12t + 100, where t is the time in seconds?
A) about 6.7 seconds
B) about 7.6 seconds
C) about 3.7 seconds
D) about 5.2 seconds
Answer:
A)t=6.7Step-by-step explanation:
to understand thisyou need to know about:quadratic equationquadratic equation word problemssolving quadraticgiven:h(t) = -4t² + 12t + 100
to solve:t
tips and formulas:the Ball will hit the ground when the height is 0solving quadratics using quadratic formulaPEMDASlet's solve:[tex]step - 1 : \: define[/tex]
[tex] - 4 {t}^{2} + 12t + 100 = 0[/tex]
[tex]step - 2 : \\ divide \: both \: sides \: by \: - 4[/tex]
[tex] {t}^{2} - 3t - 25 = 0[/tex]
[tex]step - 3 : \\ solve \: the \: quadratic[/tex]
[tex]formula : \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
[tex]define \: a ,b \: and \: c \\ which \: are \: 1, - 3 \: and \: - 25 \: respectively[/tex]
[tex]t = \frac{ - ( - 3)± \sqrt{ {( - 3)}^{2} - 4.1. - 25 } }{2.1} [/tex]
[tex]t = \frac{ 3± \sqrt{ 9 + 100} }{2} [/tex]
[tex] t = \frac{3 + \sqrt{ 109 } }{2} [/tex]
[tex]t = \frac{3 - \sqrt{ 109 } }{2} [/tex]
[tex]t = 6.7 \\ t = - 3.7[/tex]
[tex]as \: we \: know \: time \: cannot \: be \: negative[/tex]
[tex] \huge \therefore \: t = 6.7[/tex]
Please answer this. Will mark brainliest whoever gives an good answer
Answer:
Step-by-step explanation:
6) n + 13
7) 3n
8) n - 4
9) n + 5
10) 7 *n = 7n
11) n - 14
12) [tex]\frac{n}{5}[/tex]
A recipe requires one quarter cup of milk as a base and then, in addition, 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relationship.
y=4x + 4
y=4x+1/4
y=1/4x+4
y=1/4x + 1/4
The ratio of number of male and female teachers in a school is 3:4. Find the number of male teachers if there are 16 female teachers
Answer:
12 male teachers
Step-by-step explanation:
If the ratio is 3:4, and the number of female teachers is 16, then the number of male teachers must be 12. This can be confirmed by multiplying both 3 and 4 by 4, or 12/16 = 3/4.
Answer:
12 male teachers.
Step-by-step explanation:
if there is 16 females and the ratio is 3:4 it would be 12 due to 4 times 4 being 16. Meaning that i would do 3 times 4 which would result in having 12 male teachers.
The sum of two numbers is 16. The greater of the two numbers is one
more than four times the lesser number. Find both numbers.
Answer:
Step-by-step explanation: 2 + 2 = 4
lan is buying apples at the farmer's market.
The apples come in packages of different sizes.
Choose the package that is the best buy.
Jason surveyed 90 people on their preference of fruits or vegetables complete the two way frequency table
The values in the missing places are 26, 52, 14, 40 and 50
What is a frequency table?A table drawn up to show the distribution of the frequency of occurrence of a given characteristic according to some specified set of class intervals.
Given is a frequency table with some missing places,
For every missing places, we just need to add or subtract from the total.
Types of food Age
child adult (18+) Total
Fruit 26 26 52
Vegetable 14 24 38
Total 40 50 90
First missing place = 50-24 = 26
Second missing place = 26+26 = 52
Third missing place = 38-24 = 14
Fourth missing place = 26+14 = 40
Fifth missing place = 90-40 = 50
Hence, The values in the missing places are 26, 52, 14, 40 and 50
For more references on frequency table, click;
https://brainly.com/question/28931302
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How to do 2x+4=9? Giving brainliest
Add 4 and 4 to both sides.
2x=9 42x=9+4
Simplify 9+4 to 13 2 x = 13 2x=13 3
Divide both sides by 2.
Final Result: x= 13/2
Hi there!
[tex]9-4=5[/tex]
[tex]5[/tex]÷[tex]2=2.5[/tex]
x=2.5
What is the length of LM if L(3,4) and M(1,-2)? Round to the nearest tenth.
A) 7.2
B) 6.0
C) 2.8
D) 6.3
Answer:
We conclude that the length of LM if L(3,4) and M(1,-2) will be:
[tex]d = 6.3[/tex]
Hence, option D is correct.
Step-by-step explanation:
Given
L(3,4)M(1,-2)Determining the length of LM
(x₁, y₁) = (3, 4) (x₂, y₂) = (1, -2)The length of the distance between (x₁, y₁) and (x₂, y₂) can be determined using the formula
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
substituting (x₁, y₁) = (3, 4) and (x₂, y₂) = (1, -2)
[tex]=\sqrt{\left(1-3\right)^2+\left(-2-4\right)^2}[/tex]
[tex]=\sqrt{2^2+6^2}[/tex]
[tex]=\sqrt{4+36}[/tex]
[tex]=\sqrt{40}[/tex]
[tex]=\sqrt{4\times 10}[/tex]
[tex]=\sqrt{2^2\times \:10}[/tex]
[tex]=2\sqrt{10}[/tex]
[tex]=6.3[/tex]
Therefore, we conclude that the length of LM if L(3,4) and M(1,-2) will be:
[tex]d = 6.3[/tex]
Hence, option D is correct.
which of the following equations best represents the graph below
Answer:
y=(4/3)x-4
Step-by-step explanation:
Type the missing number in this sequence: -45, -43, -41, -39, -37, -35, ___ whats the next number?
Answer: -33
Step-by-step explanation: pattern is +2
Answer:
-33
Step-by-step explanation:
The sequence for this equation is plus two for every number so all you have to do its -35+2 which is -33
Select The correct answer.
What is the simplified form of 3/7- 5/7?
the answer is A -2/7
Help me out!, legit answers pls.
Answer:
2
Step-by-step explanation:
Solve the system using addition and put the answer in orderd pair
X-5.5y=-18.5
-x+3.3y=11.9