Answer:
7.8
Step-by-step explanation:
Switch 8 and 7, it round to 8 and end in tenths.
Answer:
7.8
Step-by-step explanation:
7.8 rounds to 8, because 8 is greater than 5, and then we end in the tenths place.
y5 • y14 =
A. 2y19
B. y60
C. y19
D. 2y60
ALGEBRA
Carl is making accessories for the soccer team. He uses 773.85 inches of fabric on headbands for 29 players and 4 coaches. He also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.
No. of players = 29
No. of coaches = 4
Total fabric used for headbands = 773.85 inches
Total no. of people for headbands = 29 + 4
= 33
Fabric used for headband for 1 person = 773.85/33
= 23.45 inches
Total fabric used for wristbands = 279.56 inches
Total no. of people for wristbands = 29
Fabric used for headband for 1 person = 279.56/29
= 9.64 inches
Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.
To learn more about fabric here:
https://brainly.com/question/22026300
#SPJ1
Which points are on the axes 5 units from the origin
Answer: X
Step-by-step explanation:
you just start at 0 since that is the origin and go up 5
Version 1 for Game Design Determine the center and radius of the circle with equation x² + y² + 4x − 6y + 12 = 0
Answer:
Step-by-step explanation:
Equation of circle is, (x-h)^2+ (y-k)^2=r .......(eqn1)
where, (h,k) is the center and r is the radius.
therefore, from the question by rearranging the equation,
x² + y² + 4x − 6y + 12=0
viz, (x² +4x+4) + (y²-6y+9)-1=0
(x+2)^2 + (y-3)^2=1
therefore from eqn1, (-2,3) is the center and radius is 1
Jeffrey earns a constant hourly rate of $12.25 at the tire shop. Which of these best represents the relationship between the number of hours Joseph worked, h, and his total amount earned, t?
Answer:
The correct equation is t = 12.25h.
damian bought a new game station for $774 using the stores zero intrest finace plan. He will pay$43 a month for 18 months. Which equation csn he use ti fund out how much money he still owes
The equation Damian can use to found out how much money he still owes is -
y = - 43x + 774
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have the following problem -
Damian bought a new game station for $774 using the stores zero interest finance plan. He will pay $43 a month for 18 months.
We can represent the equation he can use to found out how much money he still owes using a straight line as follows -
y = 774 - 43x
y = - 43x + 774 [x] is the number of month
Therefore, the equation Damian can use to found out how much money he still owes is -
y = - 43x + 774
To solve more questions on straight lines, visit the link below-
brainly.com/question/29030795
#SPJ2
what fraction of the numbers from 1 to 20 contain the digit 7
Sheila is making accessories for the soccer team. She uses 784.96 inches of fabric on headbands for 28 players and 4 coaches. She also uses 238.28 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer: 3.28 inches
Step-by-step explanation:
Fabric used for players and coaches is 776.32 inches.
Number of players is 29 and coaches is 3
So fabric used for each player and coach for the headbands is
776.32/29+3 = 24.26 inches
So, for the players 24.26 of fabric will be used for the headbands.
Total fabric used for the wristbands is 247.66 inches
Fabric used for the wristband is
247.66/29 = 8.54 inches
So, total amount of fabric used by Shelia for the wristband and headband is 24.26 + 8.54 = 32.8 inches.
Elena collects data to investigate the relationship between the number of bananas she buys at the store, , and the total cost of the bananas, . Which value for the correlation coefficient is most likely to match a line of best fit of the form for this situation?
The correlation coefficient that is most likely to match a line of best fit of the form y = mx + b for this situation is of:
0.9.
What is a correlation coefficient?The correlation coefficient is an index that measures correlation between two variables, assuming numeric values between -1 and 1.
If the correlation coefficient is positive, the relation is positive, that is, they are direct proportional. If the correlation coefficient is negative, they are inverse proportional.
If the absolute value of the correlation coefficient is greater than 0.6, the relationship between the two variables is classified as strong.
In the context of this problem, the variables are listed as follows:
Number of bananas bought.Total price of the bananas.The total price increases with the number of bananas bought, and there is a strong positive relationship between these two variables, hence the coefficient should be greater than 0.6 and the correct option is:
0.9.
Missing InformationThe problem is given by the image shown at the end of the answer.
More can be learned about correlation coefficients at https://brainly.com/question/16355498
#SPJ1
What is the sum of the first eight terms in this series?
2 + 10 + 50 + 250 + …
Answer:
195312
Step-by-step explanation:
Using the formula for the sum of a geometric sequence,
[tex]\frac{2(1-(5)^8)}{1-5}=195312[/tex]
Jim borrows $200 at 18% per annum compounded quarterly for 7 years. Determine the interest due on the loan.
The interest on the borrowed amount after 7 years is $486.
What is compound interest?The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.
Given that,
The amount borrowed is P = $200.
Rate of interest is r = 18% per annum compounded quarterly.
Total time is t = 7 years
Then, the rate of interest for quarterly compounding is given by,
r = 18 / 4%
= 4.5%
And, total time period for compounding is,
n = 7 × 4
= 28
The formula for compound interest is given as,
P[(1 + r / 100)ⁿ - 1]
Substitute the respective values to get,
200 × [(1 + 4.5 / 100)²⁸ - 1]
= 200 × 2.43
= 486
Hence, the interest due on the loan is given as $486.
To know more about compound interest click on,
https://brainly.com/question/14295570
#SPJ1
Approximately 72% of persons living in Cape Town who are aged 70 to 84 live in elderly care facilities. If four persons are randomly selected from this population, what is the probability that exactly two of the four live in elderly care facilities?
Select one:
The probability that exactly two of the four live in elderly care facilities is; 0.244
How to solve Binomial Probability Distribution?The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability.
The general formula of binomial probability distribution is;
P(X = x) = nCx * p^(x) * (1 - p)^(n - x)
where;
Px = the probability of exactly x events occurring.
x = the number of expected successful outcomes.
p is probability of success
n is sample size
We are given;
p = 72% = 0.72
n = 4
Thus;
P(X = 2) = 4C2 * (0.72)^(2) * (1 - 0.72)^(4 - 2)
P(X = 2) = 0.244
Read more about Binomial Probability Distribution at; https://brainly.com/question/15278907
#SPJ1
expand and simplify 3(2x+1)+(x+4)
I understand it but it won't give me the marks for explaining. What should I try?
Answer:
B is never true
Step-by-step explanation:
you can't get a negative number when you have a even power
In a photo contest, two judges are giving scores to each photo. Each judge gives a score for impact (worth 40%), composition (worth 30%), lighting (worth 20%), and color balance (worth 10%). Lester entered a photo in the contest and received the following scores: Impact: 8 and 9 Composition: 7 and 7 Lighting: 8 and 7 Color balance: 5 and 7 Enter a number in each box to create an expression that represents Lester's final score.
Lester's final score from the two Judges is 7.6
How to calculate Lester's final scoreThe scores of the judges are in percentage and this will be converted to decimal by dividing by 100
impact (worth 40%) = 0.4
composition (worth 30%) = 0.3
lighting (worth 20%) = 0.2
color balance (worth 10%) = 0.1
Average score from the Judges will be used to multiply the percentages
Impact: 8 and 9
= 8.5 * 0.4 = 3.4
Composition: 7 and 7
= 7 * 0.3 = 2.1
Lighting: 8 and 7
= 7.5 * 0.2 = 1.5
Color balance: 5 and 7
= 6 * 0.1 = 0.6
sum of the scores gives Lester's final score as 7.6
Learn more about percent here:
https://brainly.com/question/29230566
#SPJ1
water faucet leaked 3/5 liters of water over the course of 2/5 hours. How many liters would it have leaked in 1 hour please tell me the answer
Answer:
1.5 liters
Step-by-step explanation:
In the acute triangle ABC with angle ACB = 60°, M is the midpoint of side AB. Points D and E are the height points on sides BC and AC, respectively. Show: The triangle MDE is equilateral
An equilateral triangle in geometry is a triangle with three equal-length sides. An equilateral triangle has congruent sides, which means that each side is the same length. The triangle MDE is equilateral only because it is midpoint of ACB
Explain about the Acute triangle?If the square of the longest side is smaller than the sum of the squares of the two smaller sides, the triangle is said to have an acute angle according to Pythagoras's theorem. Given a triangle with sides "a," "b," and "c," with side "a" being the longest, the triangle is steeply angled if "a2" exceeds "b2" plus "c2."
By adding the squares of the triangle's two smaller sides and comparing the result to the square of the largest side, you may determine whether the triangle is acute, right, or obtuse. The triangle is sharp because this total is higher.
Isosceles, equilateral, or scalene acute triangles are all possible. An acute triangle's longest side is located across from its biggest angle.
To learn more about Acute triangle refer to:
https://brainly.com/question/10753882
#SPJ13
Please helppppppppppp
Answer:
1
2
[
x
2
2
−
x
3
3
]
2
0
=
1
2
[
(
4
2
−
8
3
)
−
(
0
)
]
=
1
2
(
−
2
3
)
=
−
1
3
Step-by-step explanation:
35. Rosa plants rows of flowers with exactly the same number
in each row. Each row has more than one flower. She has
28 flowers. What is the largest number of rows she can make?
A 4
B
7
12
D 14
Answer: 10 rows of rose plants
Step-by-step explanation:
The number of rose plants in first, second third,..., and last row are respectively.
23,21,19,....,5.
number of rose plants: n
The sequence 23,21,19,....,5 is an A.P. with first term a(=23), common difference d(=−2) and n
=a+(n−1)d
⟹5=23+(n−1)×−2
⟹5=23−2n+2⟹20=2n⟹n=10
Find the values of x, y, and z. The diagram is not to scale.
Answer:
x= 68 z= 180 y=38
Step-by-step explanation:
Ted invests in an annuity which earns 6.2% annual interest and he contributes $250 per month for 30 years. If Ted wants to perform some calculations to determine his future value, what formula would Ted use?
The future value of the annuity investment is expressed in option A
Future ValueThe future value formula is used to calculate the future value (FV) of an investment with given inputs of compounding periods (N), interest/yield rate (I/Y), starting amount, and periodic deposit/annuity payment per period (PMT).
The formula can be expressed as
FV = [MP(1 + r/n)^nt - 1] / [r/n]
FV = future valuemp = monthly paymentr = rate n = number of times compoundedWe can substitute the values into the equation;
FV = 250[(1 + 0.062/12)^12 * 30] / 0.062 /12
The answer to this question is option A
Learn more on future value here;
https://brainly.com/question/24703884
#SPJ1
What is the value of x?
The required value of x is 3 in the given equilateral triangle.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
The triangle given in the figure is an equilateral triangle.
We know that all sides are equal in the equilateral triangle.
As per the given figure,
side AB = side AC
6x - 3 = 3x + 6
6x - 3x = 6 + 3
Apply the arithmetic operation,
3x = 9
x = 9/3
x = 3
Therefore, the required value of x is 3 in the given equilateral triangle.
Learn more about the triangles here:
https://brainly.com/question/17997149
#SPJ1
9.8 x 100 =
0.040 x 1,000 =
61 divide 10 =
8.909 x 100 =
Answer:
9.8 * 100 = 980
0.040 * 1000 = 40
61 / 10 = 6.1
8.909 * 100 = 890.9
Step-by-step explanation:
A straw is placed inside a rectangular box that is 5 inches by 5 inches by 8 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form. 8 in. 5 in. 5 in.
The length of the straw fitted in the box is 10.67 inches.
What is cuboid?A cuboid is a solid three-dimensional object which has six faces that are rectangular with eight vertices, and twelve edges.
Given that, a straw is placed inside a rectangular box that is 5 inches by 5 inches by 8 inches, the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner,
Diagonal of a cuboid = √ l² + w² + h²
Therefore, diagonal of the box = √ 5² + 5² + 8² = 10.67 in
Hence, The length of the straw fitted in the box is 10.67 inches.
For more references on cuboid, click;
https://brainly.com/question/19754639
#SPJ1
Eve and Patty swam fewer laps than Maureen. Patty swam more laps than Eve, and Maureen swam fewer laps than Raymond. Who swam the most laps?
Answer:
Raymond
Step-by-step explanation:
1 ) Eve and Patty swam fewer laps than Maureen so...
Eve and Patty < Maureen
2 ) Patty swam more laps than Eve...
Patty > Eve
3 ) Maureen swam fewer laps than Raymond...
Maureen < Raymond
4 ) We can eliminate Eve and Patty since they swam fewer laps than Maureen. The ones who are left are...
Maureen and Raymond
5 ) We know that Maureen swam fewer laps than Raymond so we can eliminate Maureen.
Raymond
6 ) This mean that the one who swam the most laps is...
Raymond
Hope this helps! :)
1. A sign in front of a roller coaster says "You must be 40 inches tall to ride." What percentage of this
height is:
a) 34 inches?
b) 54 inches?
The required percentage of height of 34 and 54 inches are 85% and 135%.
Given that,
The percentage of the height of 34 inches and 54 inches against the height of 40 inches is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
a,
percentage = 34/40 × 100%
Percentage = 85%
b,
percentage = 54/40 × 100%
Percentage = 135%
Thus, the required percentages of height of 34 and 54 inches are 85% and 135%.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ1
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your answer to four decimal places. Enter your answers as a comma-separated list.)
f(x)= 5[tex]\sqrt{x}[/tex], [4,9]
The value of c by using the mean value theorem is c = 6.25.
What is a mean value theorem?The mean value theorem in mathematics says that for any given planar arc between two endpoints, there exists at least one point where the tangent to the arc is parallel to the secant between its endpoints. It is one of the most significant findings in the real-world analysis.
Given that the function is f(x) = 5√x and the interval is (4,9).
Calculate the value of 'c' as below,
f(x) = 5√x
f(4) = 5√4 = 10
f(9) = 5√9 = 15
Calculate the value of f'(c) as below,
f'(c) = ( f(b) - f(a) ) / (b - a)
f'(c) = f(9) - f(4) / ( 9 - 4 )
f'(c) = (15 - 10 ) / ( 9 - 4)
f'(c) = 1
Again the value of f'(x) is,
f'(x) = 5/2/√x
f'(c) = 5 / 2 / (√c)
5 / 2 / (√c) = 1
√c = 5 / 2
c = 25 / 4
c = 6.25
Therefore, the value of c by using the mean value theorem is c = 6.25.
To know more about the mean value theorem follow
https://brainly.com/question/3447233
#SPJ1
3. Plumbers deal with measurements in inches and common fractions of an inch, while surveyors use feet and decimal
fractions of a foot. Often one trade needs to interpret the measurements of the other.
(a) A drain has a run of 52 ft at a grade of 1/8 in./in. The high end of the drain has an elevation of 126.30 ft. What is the elevation at the low end?
(b) The elevation at one end of a lot is 84.12 ft, and the elevation at the other end is 94.67 ft. Express the difference in elevation in feet and inches and rounded to the nearest 1/8 in
The elevation at the lower end of a drain is 119.8 feet. For the second drain difference in feet will be 10.55 feet and in inches will be 126.6 inch.
What is elevation?The height above or below a fixed reference point, most frequently a reference geoid, which is a mathematical representation of the Earth's sea level as an equipotential gravitational surface, determines a location's elevation. A vertical surface is depicted in an elevation when viewed from a point perpendicular to the viewer's picture plane. You are looking at the front elevation, for instance, if you are standing directly in front of a building and viewing its front. The height between a point and a horizontal surface is known as HEIGHT. The height of a point above (or below) sea level is known as its ELEVATION.
Here,
a. The length of drain= 52 feet
the gradual decrease=0.125 ft
elevation at high end=126.30 feet
elevation at low end,
=126.3-(52*0.125)
=126.3-6.5
=119.8 feet
b. The elevation at one end=94.67 feet
The elevation at other end=84.12 feet
The difference in elevation,
=94.67-84.12
=10.55 feet
=10.55*12
=126.6 inches
The elevation of a drain's lower end is 119.8 feet. The second drain will differ by 10.55 feet in feet and 126.6 inches in inches.
To know more about elevation,
https://brainly.com/question/481548?referrer=searchResults
#SPJ13
Which one is triangle a and b
In both triangle one angle is larger than 90 degree . so these triangles are obtuse triangles.
What is Obtuse triangle?
When one of the interior angles of a triangle is more than 90 degrees, the triangle is said to have obtuse angles. The sum of the other two angles in an obtuse triangle is less than 90° if one angle in the triangle is greater than 90°.Degrees with obtuse angles include 110°, 135°, 150°, 179°, 91°, and more. Therefore, all angles that fall between 90° and 180° are obtuse angles.Triangle B = Obtuse triangle
Triangle C = Obtuse triangle
in both triangle one angle is larger than 90 degree . so these triangles are obtuse triangles.
Learn more about obtuse triangles
brainly.com/question/1581660
#SPJ13
PLEASE HELP!!
F(n)=3n-4
find term 3
The third term of F(n)=3n-4 is 5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
F(n)=3n-4
F of n equal to three times of n minus four.
We need to find the third term.
To find third term we need to plug 3 in place of n.
F(3)=3(3)-4
Three times three minus four
F(3)=9-4
Nine minus four gives 5
F(3)=5
Hence, the third term of F(n)=3n-4 is 5.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1