Please include an explanation.
"a" varies directly as the square of "b" and inversely as the cube of "c". If a=171 when b=8 and c=9, find a if b=9 and c=6. Round your answer to two decimal places if necessary.
Answer:
a = 730.43
Step-by-step explanation:
The formula for this type of problem is [ a = kb²/c³ ].
We are given a = 171, b = 8 and c = 9.
Solve for k.
171 = k(8)²/(9)³
k = 1947.80
Solve for a since we found k using b = 9 and c = 6.
a = (1947.80)(9)²/6³
a = 730.425
Round to the nearest hundredth.
730.425 → 730.43
Best of Luck!
Answer:
730.42
Step-by-step explanation:
a varies directly with the square of b, and inversely with the cube of c. Therefore:
a = k b² / c³
where k is the constant of proportionality.
a = 171 when b = 8 and c = 9. So the value of k is:
171 = k (8)² / (9)³
k ≈ 1947.8
So the value of a when b = 9 and c = 6 is:
a = 1947.8 (9)² / (6)³
a ≈ 730.42
The local garden store sells bags of mulch for $4.98 each and will deliver the bags for a fee of $15 if Amber purchases 15 bags and has them delivered what is the total amount that Amber will pay?
Answer:
$89.70
Step-by-step explanation:
To solve this equation, let's formulate a linear equation.
Let [tex]b[/tex] equal bags of mulch.
Let [tex]t[/tex] equal the total amount.
We know the price of each bag of mulch ($4.98), so we can represent this as:
[tex]4.98b[/tex]
We also know that there's a fee of $15, so we can just represent this as:
[tex]15[/tex]
Let's put these values into an equation:
[tex]t=4.98b+15[/tex]
Now with an equation, we know that she purchases a total of 15 bags, so let's substitute [tex]15[/tex] for [tex]b[/tex]:
[tex]t=4.98(15)+15[/tex]
Multiply:
[tex]t=74.70+15[/tex]
Add:
[tex]t=89.70[/tex]
_
Check your work by substituting the total amount into the initial equation:
[tex]89.70=4.98b+15[/tex]
Subtract [tex]15[/tex] from both sides of the equation:
[tex]74.70=4.98b[/tex]
Divide both sides of the equation by the coefficient of [tex]b[/tex], which is [tex]4.98[/tex]:
[tex]15=b[/tex]
Amber did in fact purchase 15 bags, so we know our total amount is correct!
If (4,-9) is rotated 270° about the origin the new point would be :
A. (-9,-4)
B. (9, 4)
C. (-4,9)
D. (-9,4)
can some one help me please
A primatologist believes that rhesus monkeys possess curiosity. She reasons that, if this is true, then they should prefer novel stimulation to repetitive stimulation. An experiment is conducted in which 12 rhesus monkeys are randomly selected from the university colony and taught to press two bars. Pressing bar 1 always produces the same sound, whereas bar 2 produces a novel sound each time it is pressed. After learning to press the bars, the monkeys are tested for 15 minutes, during which they have free access to both bars. The number of presses on each bar during the 15 minutes is recorded. The resulting data are as follows:What is the alternative hypothesis? In this case, assume a nondirectional hypothesis is appropriate because there is insufficient empirical basis to warrant a directional hypothesis. What is the null hypothesis? Using ? = 0.052 tail, what is your conclusion? What error might you be making by your conclusion in part c?
Subject Bar 1 Bar 2
1 20 40
2 18 25
3 24 38
4 14 27
5 5 31
6 26 21
7 15 32
8 29 38
9 15 25
10 9 18
Answer:
It is statistically significant that mean of difference scores is different from 0
Step-by-step explanation:
Subject Bar 1 Bar 2 Difference
1 20 40 20
2 18 25 7
3 24 38 14
4 14 27 13
5 5 31 29
6 26 21 -5
7 15 32 17
8 29 38 9
9 15 25 10
10 9 18 9
Mean of difference =[tex]\frac{Sum}{10}=\frac{123}{10}=12.3[/tex]
Standard deviation s =[tex]\sqrt{\frac{(x_i-\bar{x})^2}{n}}=8.93[/tex]
Null Hypothesis : mean of difference scores is 0 : [tex]H_0:\mu=0[/tex]
Alternate Hypothesis : mean of difference scores is different from 0 : [tex]H_a:\mu \neq 0[/tex]
We will use t test for unpaired
[tex]t = \frac{x-\mu}{\sqrt{\frac{s^2}{n-1}}}\\t = \frac{12.3-0}{\sqrt{\frac{8.93^2}{10-1}}}\\t=4.13[/tex]
Level of significance (two tailed) =[tex]\alpha = 0.05[/tex]
Degree of freedom = n-1 = 10-1 =9
Using calculator
The p-value is .002559.
p value < α
So ,we reject null hypothesis
So, It is statistically significant that mean of difference scores is different from 0
Write in slope intercept form:
(-4,6) slope= -3/4
Answer:
y=-3/4x+0
Step-by-step explanation:
What value of x is in the solution set of 8x-6 > 12 + 2x?
3
5
y - 5 = 1/10 (x – 10)
How do you rewrite the equation in slope-intercept form?
Answer.
Y=|10x-100|+5
−|9| = −9 True or False
Answer:
false
Step-by-step explanation:
Answer:
false because the absolute value of -9 would be 9 not negativ 9
Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.
Answer:
Step-by-step explanation:
3 plus 2 =
wzsxdcfgvbhjnkrdfvgbh
Answer:
5
Step-by-step explanation:
three plus two equals 5
Answer:
5
Step-by-step explanation:
3+2=5
:3
Which of the following fraction is an equivalent fraction for 2/7?
1. 8/11
2. 10/28
3. 6/21
4. 4/7
Answer:
6/21
Step-by-step explanation:
6/21 can be divided by 3 to equal 2/7
Answer:
the answer is c 6/21
Step-by-step explanation:
can i please have brainiest
What is the solution for this inequality?
8x<-32
Answer:
8x<-32
x<4
Step-by-step explanation:
divide both of these numbers by 8
Step-by-step explanation:
rhrufh38299917489xjqgs8cjrnjci
The Valdez family bought a Blu-ray player on sale. The original price was $120. They received a 12% discount. How much did the Valdez family pay for the Blu-ray player after the discount?
Answer:
$105.60
Step-by-step explanation:
I think...
Simplify
(6 + 4i) + (8 - 91) + (-2 + i)
Answer:
-79 + 5 i
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(6+4i)+(8-9i)+(-2+i)
6+4i+8-9i-2+i
6+8-2+4i-9i+i
12-4i
I will mark u as brainlest if you help me lots of points the one I choose was probably not right it was just right there
Answer:
2/5
Step-by-step explanation:
Why? Because probability is just possible values over total values, there is 4 red sections and 10 total sections, so the probability is 4/10 = 2/5.
Answer:
[tex]the \: poberbility \:is = \: \frac{number \: of \: red}{total \: number \: of \: color} = \frac{4}{10} = \frac{2}{5} [/tex]
what is the gcf of x5 and x7
Answer:
Step-by-step explanation:
the gcf of that is X
Jack has let out 40 m of kite string when he observes that his kite is directly above Jill. If Jack is 25 m from Jill, how high is the kite?
Answer:
Use this formula:
A^2 + B^2 = C^2
40 is the hypotenuse of the triangle:
A^2 + 25^2 = 40^2
A=31.2 meters (Approx)
The ratio black to blue bags is 5 to3 if there is 10 black bags how many blue bags?
Answer: 6
Step-by-step explanation:
A store pays $122 for a tennis racquet. If the store marks the tennis racquet up 30%, how much are they selling the racquet for?
Answer:
$158.60 for the racquet
For the function h (2) = 9+ 6x , what is the domain of function h if the range is
{-12, -3, 15, 24}?
Answer:
x = 1/6 (h(2) - 9), h(2) element R
WHAT IS 6 MULTIPLIED 6 + 2 +1
Answer: 108? I think haha-
Answer:
39
Step-by-step explanation:
6x6 is 36, and plus 3 it equals 38.
Add one.
39.
If you do this question I will give you brainlest I know the right Awnser just want to test you help me out and I’ll give you brainlest and points
3% Although I'm probably wrong.
Answer:
13 - 10 = 33 & 13The proportion, x = 23.Step-by-step explanation:
13 (i.e 100%) - 10 (i.e 77%) = 3 (i.e 23%)difference is 3 & original amount is 13The proportion, x = 23%Complete the table.
x=0 and 4
y=1/3x+2
Answer:
sorry man but I don't understand what we have to complete, is it x? and if x is what we have to find, what does the and 4 mean? if you can upload a photo it would be better.
Step-by-step explanation:
wish you luck
what is the value of x^2+4 for x=5
Answer:
25+4=29
thats your answer
PLEASE MARK AS THE BRAINLIEST
Answer:
29
Step-by-step explanation:
x^2+4
Let x= 5
5^2 +4
25+4
29
Mr. paulson has been on a train for 4 hours and traveled 320 miles. At this rate, how far will he traveled in 5 hours?
Answer:
at 5 hours he will have traveled 400 mi
Step-by-step explanation:
320÷4= 80
320=4, then 400=5
hope this helps
A line with a slope of -10 passes through the point (1,-10) what is it equation in slope intercept form?
Answer:
y=-10x
Step-by-step explanation:
m=-10
For (1,-10) a=1 AND b=-10
(use the formula y-b=m(x-a) to find the equation of the line)
y-b=m(x-a)
(sub the values of m (the slope) and a&b (from the point)
y - (-10) = (-10) × ( x - 1 )
(simplify)
y+10=-10(x-1)
(expand the bracket)
y+10=-10x+10
(subtract 10 for both sides)
y=-10x+10-10
(simplify)
y=-10x
Which expression is equivalent to (fa)(5)?
Answer:
ylyiky lio
Step-by-step explanation:
Conversion Formulas
K = Cº + 273
22.35 written form using proper words
twenty-two and thirty-five hundredths