Answer:
The average (mean) of the test scores is
A. 76
To find the average (mean) of test scores, add them up and divide by the total number of scores. The average of these test scores is 76.
Explanation:To find the average (mean) of the test scores, you need to add up all the scores and then divide by the total number of scores. In this case, you have 5 test scores: 83, 92, 47, 78, and 80. Adding them all up, you get 83 + 92 + 47 + 78 + 80 = 380. Then, divide the sum by 5 (the total number of scores): 380 / 5 = 76. Therefore, the average of these test scores is 76.
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At the beginning of 2012 Jacob's saving account had $675.20. He deposited $40 each month and earned $66.50 interest for the year What was the percent of increase for Jacob's saving account at the end of the year to he nearest whole percent
A.) 37%
B.) 45%
C.) 55%
D.) 81%
The table shows three unique, discrete functions. Which statements can be used to accurately compare the functions? Select two options. g(x) has the lowest minimum. f(x) has the greatest maximum. All three functions have a y-intercept. All three functions have an x-intercept. The domain of all three functions is the same.
The answer to your question would be:
B- f(x) has the greatest maximum.
C- All three functions have a y-intercept.
(I know this question is old but I hope it helps someone else.)
:)
What are interest rates? Please explain.
Answer:
An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited or borrowed. The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, the compounding frequency, and the length of time over which it is lent, deposited or borrowed.
3 times 1,000 +6 times 100 + 3 times 10 +7 times 1/10 + 2 times 100 +8 times 1/1000?
Answer:
3,006.0578 is your answer.
Step-by-step explanation:
3 × 1000 + 6 × 100 + 3 × 10 + 7 × 0.1 + 2 × 100 + 8 × 0.0001 = 3,006.0578
Answer:3630.728
Step-by-step explanation:
Find the length of a pendulum that makes one swing in 3 s. The equation for the time of one swing of a pendulum is T= 2pi sqrt(L/32) , where T is the time in seconds and L is the length in feet. Round to the nearest hundredth.
Answer:
7.30
Step-by-step explanation:
T = 2π √(L/32)
3 = 2π √(L/32)
3/(2π) = √(L/32)
(3/(2π))² = L/32
L = 32 (3/(2π))²
L ≈ 7.30
The length of the pendulum in feet nearest to hundredth is 7.29 feet.
What is an equation?
Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given that the equation for the time of one swing of a pendulum is
T = 2π √(L/32).
And pendulum makes one swing in 3 seconds.
Now T is 3 second.
So , substituting the value of T in given expression;
3 = 2π √(L / 32)
3 / (2π) = √(L / 32)
Taking square on both sides,
{ (3/(2π) }² = L / 32
L = 32 × { 3 / (2π) }²
L = 7.295
L ≈ 7.29
Therefore, the length of the pendulum in feet nearest to hundredth is 7.29 feet.
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1+2(x+3)=7
how do you solve
Answer:
1
Step-by-step explanation:
you have to minus the 7 by 6 which you get from adding all the other numbers up together
What is the area of this circle?
Answer:
100 pi (314.16)
Step-by-step explanation:
Because the diameter is 20 in, that makes the radius = 20/2 inches = 10 inches.
10^2 * pi = area
100 pi = area
314.16 is approx. area.
Answer:
It should be 1,256.6 in square inches
Step-by-step explanation:
Which number best represents the situation. "A plane descends 1, 500ft?
1,500
15
-1,500
-15
Answer:
-1500
Step-by-step explanation:
"descends," means to go down (ascend means to go up), so the number would be negative. The number given is 1500, so we use that, and get -1500.
Answer:
-1500
Step-by-step explanation: Descending means "going down" negative numbers are below normal. They had descended from the normal numbers.
ANSWER THESE ASAP Carla got a ride from her mom to school on 13 of 20 school days in November. Which is NOT equivalent to the fraction of days she got a ride to school?
Question 1 options:
13/20
35%
0.65
65%
Harold left a 23% tip when he went out to eat. What answer choice is equivalent?
Question 2 options:
2.3
23
0.23
0.023
Blair spent 45% of her birthday money on new clothes. What fraction of her money is that equivalent to?
Question 3 options:
9/20
22/50
4/11
4/5
Byron drank 1.36 liters of water yesterday. How many milliliters is that equivalent to?
Question 4 options:
13,600 ml
1,360 ml
136 ml
13.6 ml
The perimeter of the schoolhouse is 5,982 feet. How many yards is that equivalent to?
Question 5 options:
598.2 yds
2,991 yds
1,994 yds
498.5 yds
question 1: 35%
question 2: 0.23
question 3: 9/20
question 4: 1,360 mL
question 5: 1,994 yds
Answer:
1. 35%
2. 2.3
3. 9/20
4. 1360 ml
5. 1994 Yards
Please can anyone help me answer this question I'm really struggling with it
Answer:
[tex]v = {210cm}^{3} [/tex]
Step-by-step explanation:
Formula for finding the volume of a triangular prism is given as:
[tex]v = \frac{1}{2} \times b \times h \times l[/tex]
where,
b = breadth = 7cm
h = height = 6cm
l = length = 10cm
Thus,
[tex]v = \frac{1}{2} \times 7cm \times 6cm \times 10cm[/tex]
[tex]v = \frac{1}{2} \times 420 {cm}^{3} [/tex]
[tex]v = \frac{ {420cm}^{3} }{2} [/tex]
[tex]v = {210cm}^{3} [/tex]
Find log 47.2 to four decimal places.
Step-by-step explanation:
log 47.2 in four decimal places
= 1.6739
Final answer:
To find log 47.2 to four decimal places, use the logarithmic function. The result is approximately 1.6739
Explanation:
To find log 47.2 to four decimal places, we need to use the logarithmic function. The logarithm function is the inverse of exponentiation. In this case, we are looking for the logarithm of 47.2.
Using a scientific calculator or logarithmic tables, we can find that log 47.2 ≈ 1.6739 to four decimal places.
The four decimal places are determined by the precision of the logarithm function and the number of significant figures in the input value (47.2 has four significant figures).
The Fibonacci sequence is the sequence 1, 1, 2, 3, 5, ... where the first and second terms are 1 and each term after that is the sum of the previous two terms. What is the remainder when the 100th term of the sequence is divided by 8?
The remainder when the 100th term of the Fibonacci sequence is divided by 8 is 3.
Explanation:The Fibonacci sequence is a sequence where each term is the sum of the previous two terms. The sequence starts with 1, 1, and then continues with 2, 3, 5, and so on. To find the remainder when the 100th term of the sequence is divided by 8, we can calculate the terms of the sequence modulo 8 until we reach the 100th term.
First term: 1 mod 8 = 1Second term: 1 mod 8 = 1Third term: (1 + 1) mod 8 = 2Fourth term: (1 + 2) mod 8 = 3Fifth term: (2 + 3) mod 8 = 5Sixth term: (3 + 5) mod 8 = 0Seventh term: (5 + 0) mod 8 = 5Eighth term: (0 + 5) mod 8 = 5Ninth term: (5 + 5) mod 8 = 2Tenth term: (5 + 2) mod 8 = 7We can see from the pattern that the terms modulo 8 repeat every 6 terms. Therefore, to find the remainder when the 100th term is divided by 8, we can calculate the remainder when 100 is divided by 6. 100 mod 6 = 4. So, the remainder when the 100th term of the Fibonacci sequence is divided by 8 is the same as the remainder when the 4th term is divided by 8, which is 3.
New help can anybody help
Answer:
we need the question
Step-by-step explanation:
how do i solve this using imaginary numbers? PLEASE HELP
Answer:
14 -2i
Step-by-step explanation:
9 + sqrt(-4) - ( -5 + sqrt(-16))
We know the sqrt of a negative number is i * sqrt(number)
9 + isqrt(4) - ( -5 + isqrt(16))
9 + 2i - (-5 + 4i)
Distribute the negative sign
9+2i +5 -4i
Combine like terms
14 -2i
PLEASE HURRY!! The ratio of the volumes of two geometrically similar pyramids is 1 : 8. If the height of the larger pyramid is 24 inches, what is the height of the smaller pyramid?
a = 3 inches
b = 6 inches
c = 12 inches
d = 17 inches
Answer:
Answer C.12
Step-by-step explanation:
v/V=(h/H)^3
1/8=(h/24)^3
1/8=h^3/24^3
1/8=h^3/13824
8h^3=13824
H=1728√3
h= \sqrt[3]{1728}
h=12 cm
the height of the smaller pyramid is 12 inches.
What is a triangular pyramid?
A triangular pyramid is a 3D geometric shape in which all the three lateral faces are triangles with a common vertex. If all the three triangular faces are equilateral, then such a pyramid is called a tetrahedron.
For the given situation,
The ratio of the volumes of two geometrically similar pyramids = 1:8
The height of the larger pyramid = 24 inches.
Let the volume of smaller pyramid be v1 and larger pyramid be v2.
Let the height of smaller pyramid be h1 and larger pyramid be h2.
The relation between the volume of pyramid and height is given as
[tex]v=\frac{1}{3} (base area)(height)[/tex]
Let us consider the triangle to be equilateral triangle. So all the sides are equal.
We know that, Base area = [tex]a^{2}[/tex] and [tex]a=h[/tex]
The volume becomes [tex]v=\frac{1}{3} h^{3}[/tex]
The ratio becomes,
⇒ [tex]\frac{v1}{v2} =\frac{h1^{3} }{h2^{3}}[/tex]
⇒ [tex]\frac{1}{8} =\frac{h1^{3} }{24^{3}}[/tex]
⇒ [tex]h1^{3}=\frac{24^{3} }{8}[/tex]
⇒ [tex]h1^{3}=\frac{13824 }{8}[/tex]
⇒ [tex]h1^{3}=1728[/tex]
⇒ [tex]h1=\sqrt[3]{1728}[/tex]
⇒ [tex]h1=12[/tex]
Hence we can conclude that the height of the smaller pyramid is 12 inches.
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At Sports Shoe Warehouse, the cost of 11 pairs of soccer shoes is $1100 plus $66 for each additional pair. From Winning Team Shoes, the cost of 11 pairs of soccer shoes is $825 plus an additional 6% for each additional pair. For how many total pairs of soccer shoes does each vendor cost about the same? Write the equations
Final answer:
Both vendors cost about the same for 20 pairs of soccer shoes.
Explanation:
For Sports Shoe Warehouse, the cost for 11 pairs is $1100, and each additional pair costs $66. So, the total cost for x additional pairs would be $1100 + $66x.
For Winning Team Shoes, the cost for 11 pairs is $825, and each additional pair costs 6% more than the previous pair. So, the total cost for x additional pairs would be $825 + 0.06(825)x.
To find when both vendors cost the same, we set their expressions equal: $1100 + $66x = $825 + 0.06(825)x. Solving for x gives x = 20. Therefore, both vendors cost about the same for 20 pairs of soccer shoes.
A scientist asked five of her dentist friends if they thought the new Brand X sugar dash free gum that she developed was effective. Four responded "yes." The scientist used the results to write a TV advertisement claiming that "4 out of 5 dentists prefer Brand X sugar dash free gum." Is this a valid inference? Explain.
Use pencil and paper. Explain all of the factors that are necessary for an inference to be valid.
Is the inference valid? Explain.
Answer:
80% agree because 4/5= 80/100
Step-by-step explanation:
1. Evaluate 4x
if x = 3.
Answer:
[tex]12[/tex]
Step-by-step explanation:
Step 1: Set x to 3 and solve
[tex]4x[/tex]
[tex]4(3)[/tex]
[tex]4 * 3[/tex]
[tex]12[/tex]
Answer: [tex]12[/tex]
Simplest form of 34/51
Answer:
[tex]\huge\boxed{\dfrac{34}{51}=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]\dfrac{34}{51}\\\\34=17\cdot2\\51=17\cdot3\\\\LCM(34,\ 51)=17\qquad/\text{Largest Common Multiple}/\\\\\dfrac{34}{51}=\dfrac{34:17}{51:17}=\dfrac{2}{3}[/tex]
Answer:
Step-by-step explanation:
2
—
3
4. When -2 is substituted for x, in the equation y=2x+1, what is y?
Show work.
please help i will mark brainliest part b (:
Answer:
what is the question
Step-by-step explanation:
Answer:
OK UMMMM CAN YOU PUT THEE QUESTION
Step-by-step explanation:
Dante has at most $12 to spend on entertainment each week. So far this week, he spent $7.50. Write and solve an inequality to determine how much money Dante can spend on entertainment the rest of the week.
Answer: 4.50
Step-by-step explanation:
Pay attention in math class
Answer:x+7.50 is less than or equal to 12
Step-by-step explanation: x is less than or equal to 4.5
nth term of 6 12 20 30 42 56 72
Answer:
72, 90, 110, 132, 156
Step-by-step explanation:
The pattern goes, (56+16), (72+18), (90+20), (110+22), (132+24), (156+26), etc.
With the beginning pattern of +6, add +2 to each +6 for the following numbers.
Answer:
[tex]a_n=(n+1)(n+2)[/tex]
Step-by-step explanation:
Notice that the terms given in the sequence are the products of two consecutive numbers as follows:
[tex]a_1=6=2*3\\a_2=12=3*4\\a_3=20=4*5\\a_4=30=5*6\\a_5=42=6*7\\a_6=56=7*8\\a_7=72=8*9[/tex]
Therefore, we can write the nth term of the sequence as the product of a number and its consecutive, starting with the factor "2" for the first term instead of "1", thus making:
[tex]a_n=(n+1)(n+2)[/tex]
Use a half-angle identity to find the exact value
Given:
[tex]\cos 15^{\circ}[/tex]
To find:
The exact value of cos 15°.
Solution:
[tex]$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}[/tex]
Using half-angle identity:
[tex]$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}[/tex]
[tex]$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}[/tex]
Using the trigonometric identity: [tex]\cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}[/tex]
[tex]$=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}[/tex]
Let us first solve the fraction in the numerator.
[tex]$=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}[/tex]
Using fraction rule: [tex]\frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}[/tex]
[tex]$=\sqrt{\frac {2+\sqrt{3}}{4}}[/tex]
Apply radical rule: [tex]\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}[/tex]
[tex]$=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}[/tex]
Using [tex]\sqrt{4} =2[/tex]:
[tex]$=\frac{\sqrt{2+\sqrt{3}}}{2}[/tex]
[tex]$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}[/tex]
How many solutions can be found for the system of linear equations represented on the
graph?
A) no solution C) two solutions
B) one solution D) infinitely many solutions
Answer:
A) no solution
Step-by-step explanation:
Parallel lines never intersect
What is the sum of 2 2/4 and 8 3/4
Answer:
11 1/4 or 11.25.
Step-by-step explanation:
Te dog’s nap started at 7:14am and ended
at 7:57am. How long was the dog’s nap?
Answer:
The answer is 43 minutes I'm pretty sure.
Answer:
43 mins
Step-by-step explanation: All you have to do is subtract 57 from 14 then you will get your amount of time. And that is all you have to do
Jacob is playing a game where he earns 3 points for a correct answer and loses 2 points for an incorrect answer. He currently has –6 points. What situation would end with him breaking even? answering one question correctly and the last question incorrectly answering one question incorrectly and the last question correctly answering the last two questions correctly answering the last two questions incorrectly
I think c
Step-by-step explanation:
Answer: C. answering the last two questions correctly
Step-by-step explanation: If each question were worth 3 points if he got it correctly then he would have to get 2 questions right since he has -6
help please and explain why
Answer:
9 cm tall
Step-by-step explanation:
The formula to find the volume of a cylinder is
V = pi r^2 (h)
pi r^2 is the base
Plug in the volume and the base
198 = 22 (h)
divide by 22
9 = h
Express in lowest terms.
Answer:
3x^3
Step-by-step explanation:
57/19=3
x^5 - x^2 = x^3
Answer:
3x^3
Step-by-step explanation:
You have to divide 15 over nineteen, which is 3x with the exponent of 5 over x with the exponent of 2. Then you have to apply the exponent rule and subtract the exponents:5-2, which would give you 3x with the exponent of 3