Answers
Answer:
5/14 * 5/14
Step-by-step explanation:
Related Questions
David is saving $250 to buy a bicycle. He saved $8 each week for 12 weeks. He wants to buy the bicycle in 7 more weeks. How much does David need to save each week?
Answers
Answer:
He would need to save $22 dollars each week to pay for the bike in 7 weeks.
Step-by-step explanation:
We can figure out how many he has saved up already by multiplying the number of weeks (12) by how much he saved each week ($8) which equals $96. Now we have to subtract $96 from $250 which equals $154. Now we need divide this amount by the remaining weeks until he wants to purchase his bike (7), so 154/7 which equals $22.
So he needs to pay 22 dollars each week to pay off the bike in seven weeks
In ΔRST, sin T = 1/5, m∠R = 30, and r = 15. What is the length of t?
Answers
Answer:
t = 6Step-by-step explanation:
Given ΔRST with:
sin ∠T = 1/5m ∠R = 30°r = 15t = ?Solution
We know t is opposite ∠T and r is opposite ∠R.
Use the law of sines to find the missing value of t.
r / sin ∠R = t / sin ∠TSubstitute the known values and solve for t:
15 / sin (30°) = t / (1/5)15 / (1/2) = 5t30 = 5tt = 30/5t = 6Answer:
t = 6
Step-by-step explanation:
In ΔRST:
Angle R is opposite side r.Angle S is opposite side s.Angle T is opposite side t.Sine Rule
[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Given:
sin T = ¹/₅R = 30°r = 15Substitute the given values into the Sine Rule formula and solve for t:
[tex]\implies \sf \dfrac{r}{\sin R}=\dfrac{s}{\sin S}=\dfrac{t}{\sin T}[/tex]
[tex]\implies \sf \dfrac{15}{\sin 30^{\circ}}=\dfrac{t}{\frac{1}{5}}[/tex]
[tex]\implies \sf \dfrac{15}{\sin 30^{\circ}}=5t[/tex]
[tex]\implies \sf t=\dfrac{15}{5 \sin 30^{\circ}}[/tex]
[tex]\implies \sf t=\dfrac{15}{5 \cdot \frac{1}{2}}[/tex]
[tex]\implies \sf t=\dfrac{15}{\frac{5}{2}}[/tex]
[tex]\implies \sf t=15 \cdot \dfrac{2}{5}[/tex]
[tex]\implies \sf t=\dfrac{30}{5}[/tex]
[tex]\implies \sf t=6[/tex]
Learn more about the Sine Rule here:
https://brainly.com/question/27089170
https://brainly.com/question/28033514
Decide if each statement correctly describes a relationship between the categories.
Choose Yes or No for each statement.
Answers
Answer:
1.no,2.yes 3.yes 4.no
Step-by-step explanation:
rhombuses are subcategories of squares. some isosceles triangles have angles more than 90 degrees or 90 degrees exact
the following sample data are from a normal population : 10,8,12,,15,13,11,6,5
Answers
10
3.4641
2.8965
12.8965
Step-by-step explanation:
Given: 10, 8, 12, 15, 13, 11, 6, 5
c = 95%
a. The point estimate of the population mean is the sample mean. The mean is the sum of all values divided by the number of values:
x = 10 + 8 + 12 + 15 + 13 + 11 + 6 + 5 /8
= 80/8
= 10
b. The point estimate of the population standard deviation is the sample standard deviation. The variance is the sum of squared deviations from the mean divided by n - 1. The standard deviation is the square root of the variance:
s = /(10 – 10)^2 +.... + (5– 10)^2/8 – 1
s = 3.4641
c. Determine the t-value by looking in the row starting with degrees of freedom df = n-1 = 8 –1 = 7 and in the column with = (1 – c)/2 = 0.025 in table :
t_/2 = 2.365
The margin of error is then:
E = t_/2 * s/√n
= 2.365 x s 3.4641/ √8
= 2.8965
d. The confidence intent)] then becomes:
7.1035 = 10 – 2.8965 = x – E
The radius of a cylinder is 3 cm and the height is 6 cm.
Find the Surface Area. (hint: Use the answer from the previous question.)
4811
5411
0 3617
9211
Answers
Answer:
B. 54π
Step-by-step explanation:
Surface area of cylinder = 2πrh + 2πr²
Radius = 3 cm
Height = 6 cm
Plug in the values
Surface area of the cylinder = 2*π*3*6 + 2*π*3²
Surface area = 36π + 18π
Surface area = 54π
The 5th grade is going on a trip. There are 285 students in the grade. Buses hold 30 passengers. How many buses are needed for the entire fifth grade to go on their trip?
Answers
Answer:
10 busses
Step-by-step explanation:
285÷30=9.5
9.5 would round up to 10
Convert to rectangular
Answers
When convert it into rectangular form we get x=-1/2 and y=0.
How to convert polar to rectangular form?To convert a point in polar coordinates (r, θ) to rectangular coordinates (x, y), you can use the following formulas:
[tex]x = r * cos(θ) \\y = r * sin(θ)[/tex]
Where r is the distance from the origin to the point, and θ is the angle in radians between the positive x-axis and the line connecting the point to the origin.
Alternatively, you can also convert from rectangular to polar coordinates using the following formulas:
[tex]r = sqrt(x^2 + y^2)\\θ = atan2(y, x)[/tex]
Where x, y are the rectangular coordinates and atan2 is a function that computes the angle of a point in a cartesian plane.
In general, it's worth noting that the polar coordinates are often used in some physics and engineering problems, while the rectangular coordinates are often used in computer graphics, analytic geometry and other fields.
What is 1 in polar co-ordinate?The angle of 1's inverse tangent is 45°. This is the outcome of translating to polar coordinates in the form (r,theta).
To convert it into rectangle equation we have
[tex]x=rcos(theta)\\y=rsin(theta)\\r=1\\theta= 3*pi/2\\x= cos(3*pi/2)\\x= -1/2\\y=sin(3*pi/2)\\y=0[/tex]
To learn more about rectangular form visit:
brainly.com/question/7287288
#SPJ1
The population of the city of Woodville is growing at a constant rate. The expression 38,000 + 2,400x models Woodville's population.
Which THREE statements are correct?
es )
A)
x represents the number of years
B)
2,400 represents the current population.
C)
38,000 represents the current population.
D)
2,400 represents the population growth yearly.
E)
38,000 represents the population growth yearly
Answers
16. WHAT is a parallelogram.
W
T
1070
y
36°
42°
H
А
X
y =
Answers
Step-by-step explanation:
hope this helps you out with the problem
-3/5(1+5n) =102
Solve for n
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Consider the following problem:
The length s(t) of the side of the base of a square prism is decreasing at a rate of 7
kilometers per minute and the height h(t) of the prism is increasing at a rate of 10
kilometers per minute. At a certain instant to, the base's side is 4 kilometers and the
height is 9 kilometers. What is the rate of change of the surface area A(t) of the
prism at that instant?
Match each expression with its given value.
Answers
The rate of change of surface area is 524.02 square kilometers per minutes.
what is surface area of square prism?The total space occupied by a three-dimensional square prism is called surface area.
What is the rate of change of surface area of the prism?
Given, the decreasing rate of the base side with respect to time, ds/dt = 7 km/min
the increasing rate of height with respect to time, dh/dt = 10 km/min
At a time, t, base side, s = 4 km
and height, h = 9 km
we need to determine the rate of change of surface area with respect to time, d A/dt
from the differentiation chain rule, d A/ dt = d A /dt × ds /ds
d A /dt = d A/ ds × ds /dt ... equation 1
we know that the surface area for prism, A = 2s² + 4sh
if we differentiate with respect to s then we find d A /ds
d/ds (A) = d/ ds (2s² + 4sh)
d A /ds = 4s + 4h +4s dh/ds ...... equation 2
now dh /ds = dh /ds × dt /dt [ using differentiation chain rule]
dh/ds = dh/ dt× dt/ds
d h/ ds = dh/dt × 1/ ds/dt
it stated earlier that dh/ dt = 10 and ds /dt = 7
dh / ds = 10/7
putting this value in equation 2, we get
d A /ds = 4s +4h + 4s ×10/7
as we know at time t, s= 4 and h = 9
d A /ds = 4 × 4 + 4 ×9 +4×4 ×10 /7
d A /ds = 74.86
putting the value d A /ds in equation 1, we get
d A /dt = d A /ds × ds/ dt
d A/ dt = 74.86 × 7
d A /dt = 524.02 km² / min
hence, the rate of change of surface area = 524.02 square kilometers per minutes
To learn more about chain rule for differentiation visit:
https://brainly.com/question/28484294
#SPJ1
Hi Mhanifa, can u answer my last post/question? This is my last question btw. Thank you for all. You helped me a lot.❤️
find the area of each shaded region
Answers
Answer:
#712*16 - 1/2*12*14 = 108 cm²#81/2*10*4 - 1/2*5*3 = 12.5 cm²#93.14(4² - 2²) = 37.68 in²#1010² - 3.14*10²/4 = 21.5 cm²#116² - 3.14*6²/4 = 7.74 m²#123.14(4²/2 - 2²) = 12.56 cm²#131/2(12 + 20)*12 - 12² = 48 cm²#143.14(14² - 7²) = 461.58 cm²Given the equation below, if x = 4, what is the value of y? y=14x
Answers
Answer:
the answer would be 56.
y=14(4)
y=56
The population of a city decreases by 0.9% per year. If this year's population is pp, which expression does NOT represent next year's population?
0.9910.991
0.991p0.991p
(1-0.009)p(1−0.009)p
1p-0.009p1p−0.009p
Answers
The expression does not represent next year's population is 0.991. The correct option is A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the population of a city decreases by 0.9% per year. The expression for the population depreciation is,
Population = ( 100% - 0.9%)P
Population = (1 - 0.009)P
Population = 0.991P
Hence, the expression not representing the depreciation is 0.991.
To know more about an expression follow
https://brainly.com/question/29183615
#SPJ1
if you answer the question Correctly I will give you brainliest.
Answers
Answer:
6982 ft squared
Step-by-step explanation:
The area of the trapezoid is 10000 feet square and the area of the square building is 3072 square feet. In order to find the area of the lawn, you need to subtract the area of the building from the area of the trapezoid, which is 6982 feet squared.
Answer:
6982 ft squared
Step-by-step explanation:
Find the mean, median, and mode for 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7. Round to the nearest tenth if needed.
Answers
Answer:
Mean - 6.2 Median - 7 Mode - 9
Step-by-step explanation:
You can find the mean by adding all the given numbers and dividing them by how many numbers you added.
The median is the middle value of the set of numbers, order them from least to greatest and find the middle value.
Mode is the number that occurs the most.
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 38 randomly selected people who train in groups, and finds that they run a mean of 49.5 miles per week. Assume that the population standard deviation for group runners is known to be 1.1 miles per week. She also interviews a random sample of 33 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 2.6 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2.
Required:
Draw a conclusion and interpret the decision.
Answers
Answer:
conclude that there is no significant evidence to support the claim that difference exists between the mean number of miles run by the two groups.
Step-by-step explanation:
H0 : μ1 = μ2
H0 : μ1 ≠ μ2
The test statistic :
(x1 - x2) / √(s1²/n1) + (s2²/n2)
(49.5 - 48.5) / √(1.1²/38) + (2.6²/33)
1 / √0.2366905
Test statistic = 2.055
Using the Pvalue from Tstatistic calculator :
df = (smaller sample - 1) = 33 - 1 = 32
Pvalue from Test score calculator = 0.048
Pvalue > α ; Fail to reject the null ;
Hence, conclude that there is no significant evidence to support the claim that difference exists between the mean number of miles run by the two groups.
Which graph best represents the solution to the following pair of equations?
y = −x − 5
y = 2x + 4
Answers
Answer:
Two lines having equations y is equal to negative x minus 5 and y is equal to 2 times x plus 4 are plotted. These 2 lines intersect at the ordered pair negative 3, negative 2.
Step-by-step explanation:
Obviously, the appropriate graph will be one with the two lines plotted. Properly plotted, they will intersect at (-3, -2).
What is the circumference of the circle that has a radius of 8.6mm
Answers
Answer:
C= 54.O4
.................
sum of -7g and 4g+2
Answers
The sum of the given two expressions -7g and 4g+2 is -3g+2.
What are algrbraic expressions?The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown number using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.
What are the types of algebraic expressions?There are mainly 3 types of algebraic expressions which are:
Monomial ExpressionBinomial ExpressionPolynomial ExpressionThe sum of given expressions , -7g and 4g+2 can be performed as follows:
-7g + (4g + 2)
= (-7+4)g + 2
= -3g + 2
To learn more about algebraic sum visit:
https://brainly.com/question/19245500
#SPJ1
Draw a diagram of x + 2 and a separate diagram of 3x when x is 2.
Answers
The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.
The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.
What is diagram in mathematics?In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.
For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).
A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.
Learn more about diagram in brainly.com/question/11729094
#SPJ1
The fish tank in the library is 3 feet long, 5 feet wide, and 4
feet deep. What is the volume of the fish tank?
PLEASE DONT SEND LINKS!!
Answers
Answer:
3×4×5=60 ft cubed
Step-by-step explanation:
multiply length ×width ×height the answer is in cubic units for volume
Having Substituted the given data into the volume formula, the volume was gotten as 60ft^3
Volume of CuboidGiven Data
Length of tank = 3 feetWidth = 5 feetDepth = 4 feetThe expression for the volume of a tank is given as
Volume of tank = Length *widht*Height
Substituting our given Data into the expression for the volume formula we have
Volume of tank = 3*5*4
Volume of tank = 60ft^3
Learn more about volume of cuboid here:
https://brainly.com/question/46030
Bookerville has a record of 12 inches of rain in 5 days. How much will it have to rain on Friday to beat the record by one tenth of an inch
Answers
The amount of rain required would be 2.5 inches.
What is the addition?
Addition is a mathematical operation that represents the process of combining two or more numbers together. The result of this operation is called the sum. The addition operation is often represented using the symbol "+", and it can be used to add any two or more numbers together.
To beat the record by one-tenth of an inch, an additional 0.1 inches of rain must fall.
Currently, the average amount of rain per day is 12 inches / 5 days = 2.4 inches per day.
So, the amount of rain that must fall on Friday to beat the record by one-tenth of an inch is 2.4 inches + 0.1 inches = 2.5 inches
Hence, the amount of rain required would be 2.5 inches.
To learn more about the addition, visit:
https://brainly.com/question/24536701
#SPJ1
Does the table below represent a proportional relationship? DUE PLSS
A. Yes, because all the ratios of y to x are equal to 2.
B. Yes, because all the ratios of y to x are equal to 3.
C. No, because all the ratios of y to x are not equal.
D. No, because all the numbers are positive.
Answers
Answer: The answer to your question is the letter B. May want to assess it before answering.
14% of a certain food is fat. Out of 400 total grams, how many grams are not fat?
Answers
Answer:
344 grams are not fat
Step-by-step explanation:
400 x (100% - 14%) =
400 x 86% = 344
Hope that helps! :)
-Aphrodite
1. Simplify and show your work.
3(2x^3y^5)^3
——————— or /
(2x^6y^3)^4
Answers
On solving the provided question, we can say that - here the value of exponential equation is 648/1296 = 0.5
what are exponents?Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where
So, the equation is
[tex]3(2x^3y^5)^3/ (2x^6y^3)^4[/tex]
and x=y=1
so, 648/1296 = 0.5
To know more about exponents visit:
https://brainly.com/question/3987569
#SPJ1
12 pounds of corn cost Marcus $15.60. How much would five pounds of corn
cost at the same unit rate?
Answers
Answer:
$6.30
Step-by-step explanation:
Alright, so, to find the unit rate (how much 1 pound of corn would cost) you would divide $15.60 by 12 which would get you $1.30.
Cost of 1 pound of corn = $1.30
So the unit rate = $1.30
Now that you know the unit rate, or how much 1 pound would cost, you can find out how much 5 pounds would cost:
$1.30 x 5 = $6.50
Steps:
1. $15.60/12 = $1.30
2. $1.30 x 5 = $6.50
Five pounds of corn costs $6.50 at a unit rate of $1.30.
Hope this helps! :)
Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?
Find the unit rates
Compare the unit rates
-help please-
Answers
Answer:
Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?
The car is faster
Find the unit rates
The car is going 30 feet in 1 second(600 divide by 20 = 30)
The motorcycle is gonig 25 feet in 1 second(300 divide by 12 = 25)
Compare the unit rates
30 > 25
Step-by-step explanation:
Answer:
Hakim's car is faster.
Step-by-step explanation:
Hakim's car takes 20 seconds to go 600 feet. Andre's motorcycle takes 24 seconds to go 600 feet.
So for Hakim, the unit rate are 30 feet per second because 600/20 = 30
For Andre, the unit rate is 25 feet per second because 600/24 = 25
Hakim's car goes faster because 30 is greater than 25.
Consider the function f (x) = x.What effect does subtracting 2 from the input have on the graph of the function?
Answers
The effect of subtracting 2 from the input on the graph of the function is a translation of 2 units to the right.
What effect does subtracting 2 from the input?For any function f(x), we define a horizontal translation of N units as:
g(x) = f(x + N)
And what this does, is translate the graph N units horizontally.
if N > 0, then the translation is to the left.
if N < 0, then the translation is to the right.
Here we want to subtract 2 from the input, so we will get:
f(x - 2)
By using the definition above, we know that we will have a translation of 2 units to the right.
Learn more about translations by reading:
https://brainly.com/question/24850937
#SPJ1
which question is not a statistical question?
How many vehicles do Boston residents have per household?
How much money do Boston residents spend on transportation every day?
How many Boston residents use public transportation?
How many times per month do Boston residents use public transportation?
How long does it take for Boston residents to travel to work?
Answers
Answer:
How many Boston residents use public transportation
Step-by-step explanation:
Answer:
D. How many times per month do Boston residents use public transportation
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.statistical meaning of, relating to, based on, or employing the principles of statistics statistical analysis. Other Words from statistical More Example Sentences