Answer:
a₇ = [tex] \frac{4096}{3125} [/tex]
If p varies jointly as q and r, and p = 150 when q = 18 and r = 5, find q when p = 345 and r = 9.
Answer:
Step-by-step explanation:
P varies jointly as q and r
p=k* q r
150 =k *(18)(5)
150 = k*(90)
150/90 = k
5/3 = k
find q when p=345 and r =9
p=k* q r
345 = (5/3) * q *9
345 = 45 q / 3
1035 = 45 q
q=23
The required value of the q in the proportionality relationship is given as q = 23.
Given that,
p varies jointly as q and r, and p = 150 when q = 18 and r = 5, find q when p = 345 and r = 9.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
P varies jointly as q and r
p =k × q r - - - - - (1)
150 =k × 18× 5
k = 5 / 3
Put k = 5/3, p = 345 and r = 9 in equation 1
345 = (5/3) × q ×9
q = 23
The required value of the q in the proportionality relationship is given as q = 23.
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Find f(3.5) if f(x) = (4x - 2)/10
Answer:
when f=3.5, f(x) = 1.2
Step-by-step explanation:
[4(3.5) -2] / 10 = 12/10 = 1.2
A culture of bacteria has an initial population of 89000 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 11 hours, to the nearest whole number?
Answer:
230837
Step-by-step explanation:
if Mike Burns 220 calories in 20 minutes and 275 calories is in 25 minutes 385 calories in 35 minutes how much calories did he burn in 29 minutes
Answer:
319 calories
Step-by-step explanation:
Steps to answering this question :
Determine the amount of calories burnt per minute Multiply the answer gotten in the above step by 29 minutes to determine the total calories burnt in 29 minutesCalories burnt per minute = total calories / minutes
220 / 20 = 11 calories
275 / 25 = 11 calories
385 / 35 = 11 calories
11 calories is burnt per minute
Total calories burnt in 29 minutes = calories burnt per minute x 29 minutes
11 x 29 = 319 calories
319
The following data set shows the number of project points each student in a class earned last week.
68, 84, 86, 74, 58, 82, 82, 96, 78, 96, 70, 78, 98, 80, 94, 96, 64, 82, 74, 78, 96. W
Which dot plot correctly displays this data?
Answer:
D
Step-by-step explanation:
I think its correct
Answer:
C.
Step-by-step explanation:
Given the function f(x) = 5x2 - 3x + 2, what is f(2)?
Answer:
f(2) means you substitute 2 with x in the function f(x) = 5x^2 - 3x + 2
Step-by-step explanation:
f(2) = 5(2)^2 - 3(2) + 2
f(2) = 5(4) - 6 + 2
f(2) = 16
hey guys, answer this question trust me
Answer:
okay dokey
Step-by-step explanation:
ok i answered thanks for the points
find the length of the side x in simplest form with a rational denominator.
i need help understanding these type of questions pls
Answer:
x = 2√3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = 4
Adjacent = x
Apply trigonometric function, CAH:
Cos 30 = Adj/Hyp
Cos 30 = x/4
4 × Cos 30 = x
4 × √3/2 = x (cos 30 = √3/2)
2√3 = x
x = 2√3
A local artisan makes handmade ceramic vases and bowls. Each vase takes 3 hours to make and each bowl takes 2 hours to make. He is limited to at most 30 hours of work time a week and would like to produce at least 12 items weekly.
Write a system of inequalities that represents the situation.
Group of answer choices
3v + 2b ≤ 30
3v + 2b ≥ 12
3v + 2b ≥30
v + b ≤ 12
2v + 3b ≤ 30
v + b ≥12
3v + 2b ≤ 30
v + b ≥ 12
Evaluate \frac{1}{4} \times 2 \frac{4}{5}
4
1
×2
5
4
.
Write the answer as a reduced fraction.
Use slash \left(/\right)(/) to separate numerator and denominator.
Answer:
Answer:
bro gave me a virus
Step-by-step explanation:
dont click the link
ext year, my age will be 125% more than it was when I got married. I got married when I was 24. How old will I be next year?
Answer:
54
Step-by-step explanation:
you could either add 125% and 24 to get 54
or you can figure out that 125% of 24 is 30 and add 24 and 30 together to get 54
Select the name of the highlighted part.
OA side
OB. diagonal
OC.
Vertex
Answer:
oc
Step-by-step explanation:
because it's oc so the side is wrong and the vertex too
Which is equivalent to the series shown?
12
Which expansion is equivalent to the summation
shown?
12
12
20 Σ
1
n=9 n=9
n +
n=9
X
1 1 1 1
20+9+10+11+12+
9 10 11 12
-
Σ (20n +
+
Ź 201n+ )
20
n
n-9
x
1
1
-
1
11
1
12
20(9 + 10 +11+12) +.
9 10
2019 +10 +1
X
1 1 1
20 9+10 +11+12+
9 10 11 12
n +
n-9
12 12
1
12 + 20
n
n=9 n-9
12 12
1
n+
n-9 n=9n
1 1 1
9+10+11+12+ 20
9 10 11 12
20Σ
COMPLETE
Na
Intro
Final
Answer:
please I don't know
Step-by-step explanation:
please I don't know
please give me another question
Answer: 1st part is D, and 2nd part is B
Step-by-step explanation: Got them on edge
Find x if x + y = 16, x * 3 is even, x is a factor of y, and 2x+y= 20.
Answer:
x = 0
Step-by-step explanation:
This is an isosceles trapezoid.
R.
S
75
N
Х
Y У
T
U
z =
[?]
Enter the number that belongs in
the green box.
Enter
Answer:
75
Step-by-step explanation:
it would be the same as it opposite side S because they are the same
Abigail wants to ride her bicycle 37 miles this week. She has already ridden 17 miles. If she rides for 5 more days, what is the average number of miles she would have to ride each day to meet her goal? Need help for delta math
Answer:
Step-by-step explanation:
In other to meet up with her target, Abigail would have to cover 4 miles every day.
Target = 37 miles
Covered miles = 17 miles
Number of miles left to cover :
Target - miles coveredNumber of miles left = (37 - 17) miles = 20 miles
Number of miles to cover per day :
20 miles ÷ 5 = 4 milesHence, Abigail would have to cover 4 miles every day.
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using the figure below complete the proof. Which of the following sequence of reasons may be used to fill the blanks in the two-columns proof above?
Answer: Definition of parallelogram, ASA Theorem, CPCTC
Step-by-step explanation:
I just did the math nation and I go that question correct
Answer: Definition of parallelogram, ASA Theorem, CPCTC
Step-by-step explanation:
i got it right
Two equilateral triangle’s are showing. Find the scale factor used on the first triangle to make the second triangle
9514 1404 393
Answer:
2/3
Step-by-step explanation:
The scale factor is the ratio of corresponding dimensions:
(6 cm)/(9 cm) = 2/3
If 14 g of a radioactive substance are present initially and 3 yr later only 7 g remain, how much of the substance will be present after 6 yr?
QRST is an isosceles trapezoid and m
Answer:
B. [tex] \huge \red {\boxed { 64\degree}} [/tex]
Step-by-step explanation:
QRST is an isosceles trapezoid (Given)Measures of base angles of an isosceles trapezoid are equal. RS || QT and, ST and RQ are transversals.[tex] \therefore m\angle S = m\angle R[/tex]
[tex] \because m\angle R= 116\degree [/tex]
[tex] \therefore m\angle S= 116\degree [/tex]
[tex] m\angle S + m\angle T = 180\degree [/tex]
(angles on the same side of transversal)
[tex] 116\degree + m\angle T = 180\degree [/tex]
[tex] m\angle T = 180\degree - 116\degree [/tex]
[tex] \huge \purple {\boxed {m\angle T = 64\degree}} [/tex]
if the nth term of a number sequence is n squared-3 if the first 3 terms and the 10th term
Answer:
First three terms: -2, 1, 6
Tenth term: 97
Step-by-step explanation:
Given
[tex]T_n =n^2 -3[/tex]
Required
The first three terms and the tenth
So, we have:
First term: n =1
[tex]T_1 = 1^2 - 3 = 1 - 3 = -2[/tex]
Second term: n = 2
[tex]T_2 = 2^2 - 3 = 4 - 3 = 1[/tex]
Third term: n = 3
[tex]T_3 = 3^2 - 3 = 9 - 3 = 6[/tex]
Tenth term: n = 10
[tex]T_{10} = 10^2 - 3 = 100 - 3 = 97[/tex]
find the volume of the cone. make sure to round
Answer: 333.29
V= ⅓Bh is how you would do it
what are the answers?
Answer
1. B 2. D
Step-by-step explanation:
1. 5/18 x 6= 1.6 and 2. its the last two numbers were larger.
Can someone help me please with three questions? 31, 35 and 37?
Answer: Simplified
31. 13a2 + 10a
35. 9a2 - 21a + 12
37. 2x2 - 8x
Step-by-step explanation:
Solve the equation for the value of x,
-4x=36
Please show your work, thank you.
Answer:
x = -9
Step-by-step explanation:
First,Add 4 to both sides
-4x-4+4=36-4+4
Then,simplify
-4x=36
divide both sides by -4
-4x/-4 = 36/-4
Lastly simplify it to get your answer!
Find the mean of these numbers: 8, 14, 32, 6, 15
the other answer choice is 75
The mean of the given numbers is 15.
What is the mean?The mean is the mathematical average of a group of integers.
The given numbers are 8, 14, 32, 6, and 15.
There are a total of 5 numbers.
The mean of the number is:
m = ( 8 + 14 + 32 + 6 + 15)/5
m = 15
Hence, the mean of the given numbers is 15.
Learn more about the mean:
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What is the area of triangle HGF? Round your answer to the nearest tenth of a square centimeter. Recall that you need to round up if the value of the hundredth is 5 or greater?
Answer:
[tex] 9.75 \: {cm}^{2} [/tex]
Step-by-step explanation:
[tex]A(\triangle HGF) = \frac{1}{2} \times 6.5 \times 3.0 \\ \\ = 6.5 \times 1.5 \\ \\ = 9.75 \: {cm}^{2} [/tex]
Anya bought some cans of paint. She used 9 of them to
paint the house and had 23 left. Write an equation, that
when solved, will tell how many cans of paint, p, that Anya
bought?
Below, the two-way table is given for a class of students. Juniors Seniors Free Freshmen Sophomore Male 4 6 2 2. Female 3 4 6 3 Total If a student is selected at random, find the probability the student is a junior given that it's male. Round to the nearest whole percent.
Answer:
[tex]Pr = 7\%[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
Find P(Junior|Male)
To do this, we first calculate the total students.
[tex]Total = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3[/tex]
[tex]Total = 30[/tex]
Next, select the value in the cell that intersects Male and Junior
[tex]Male\ and\ Junior = 2[/tex]
Hence, the probability is
[tex]Pr = \frac{Male\ and\ Junior}{Total}[/tex]
[tex]Pr = \frac{2}{30}[/tex]
[tex]Pr = 0.067[/tex]
Express as percentage
[tex]Pr = 0.067*100\%[/tex]
[tex]Pr = 6.7\%[/tex]
Approximate
[tex]Pr = 7\%[/tex]
Answer:
14%
Step-by-step explanation:
2(junior males) out of 14 (the total of males) is 14.29%, which is rounded to a whole percent of 14%. Hope this helps!
p.s. (I was on the same problem on acellus and figured it out. It took forever though)
divide the polynomial (x^2 + 3x + 5) by 2x + 1
Answer:
50888888888888888888+++++