Answer:
Equation to represent all number of points = |4|
Step-by-step explanation:
We are told that a player either wins or loses 4 points during each turn. This means a player could either gain 4 points or loose 4 points. When writing this in Mathematical terms its means either -4 or +4.
Now, since possible number of turns is -4 or 4, then we can represent this with the absolute value symbol.
Thus, it's |4|
A survey of 400 students yielded the following information: 262 were seniors, 215 were commuters, and 150 of the seniors were commuters. How many of the 400 surveyed students were seniors or were commuters?
Out of the 400 surveyed students, 327 were either seniors or commuters.
To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.
According to the information given:
There were 262 seniors.
There were 215 commuters.
150 of the seniors were also commuters.
To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.
Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters
= 262 + 215 - 150
= 327
Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.
It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.
This ensures an accurate count of the students who fall into either category.
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Calculate the area of a circle with a radius of 5 meters
There are 7 teachers going to the museum. There are 8 times as many students going as teachers. They will need 1 van for every 6 people.
The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.
The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.
Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.
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What is 8m - 15 = 41 ?
Use substitution to solve the linear system of equations.
15x - y = 15
1-10x + 2y = -30
no solution
(-15,-6)
(-3,10)
infinitely many solutions
Answer:
Step-by-step explanation: infinitely many solutions (please give brainliest)
The Garcia family and the Johnson family each used their sprinklers last summer. The Garcia family's sprinkler was used for 20 hours. The Johnson family's sprinkler was used for 25 hours. There was a combined total output of 1175 L of water. What was the water output rate for each sprinkler if the sum of the two rates was 55 L per hour?
W is the time Woody family used sprinkler.
C is the time Carter family used sprinkler.
Time used total: 50 hours.
W+C = 50 (1)
Total water used is 1900 L.
Woody family used: 40W;
Carter family used 35C.
Equation showing how much water both families used:
40W + 35 C =1900. (2)
We have a system with two equations and two variables. We can use substitution method to solve the system. From equation (1) we express W:
W=50 - C. (1a)
We substitute the variable in equation (2):
40(50 - C) +35C =1900.
We open the parenthesis
2000 -40C +35C =1900,
We combine like terms
2000 -5C =1900,
We subtract 2000 from both sides of the equation
-5C = 1900 - 2000,
We simplify
-5C = -100,
We divide by -5
C = 20.
We substitute the values of C in the equation (1a) and find the value of W:
W = 50 - C,
W = 50 -20 =30.
The Woody family used water for 30 hours and the Carter family used water for 20 hours.
We check our work to be sure we did not make any mistakes:
Total water used:
40 x 30 + 35 x 20 = 1200 + 700 = 1900 L.
Melany jogged 6 more miles than Zariana. All together they jogged 18 miles last week. How far did each person jog last week. I need answer ASAP please:(
Answer:
Melany jogged 12 miles and Zariana jogged 6 miles.
Step-by-step explanation:
18-12=6
12-6=6
I think that is the answer! GL!!
Drag and drop number tiles into the boxes to show the median, first quartile (Q1) and third quartile (Q3)
of the data on the dot plot.
Answer:
Median = 5
Q1 = 2
Q3 = 10
Step-by-step explanation:
✔️On the dot plot, each dot represents a data point.
The median is the middle data point which is the 6th data point on the dot plot.
This:
Median = 5 (6th data point)
✔️Q1 is the middle value of the lower set of data points before the median = the 3rd data point
The 3rd data point is 2
Therefore,
Q1 = 2
✔️Q3 is the middle value of the upper set of data points after the median = the 9th data point.
The 9th data point = 10
Therefore,
Q3 = 10
Answer:9
Step-by-step explanation:
please help Find the measure of UT
65°
51°
70°
55°
\(\huge\boxed{55^\circ}\)
First of all, we know that \(\angle Q=95^{\circ}\) because of its vertical angle. \(\angle Q\) is also equal to \(\dfrac{\widehat{RS}+\widehat{UT}}{2}\) because it's an interior angle.
\(\begin{aligned}\angle Q&=\frac{\widehat{RS}+\widehat{UT}}{2}\\95^\circ&=\frac{135^\circ+\widehat{UT}}{2}&&\qquad&&\textsf{Substitute in the known values.}\\190^\circ&=135^\circ+\widehat{UT}&&\qquad&&\textsf{Multiply both sides by $2$.}\\55^\circ&=\widehat{UT}&&\qquad&&\textsf{Subtract $135^\circ$ from both sides.}\\\widehat{UT}&=\boxed{55^\circ}&&\qquad&&\textsf{Switch the sides of the equation to show our answer.}\end{aligned}\)
Ana recycles a cookie tin use for storing school supplies. The tin is a rectangular prism with a length of 14 centimeters, a width of 10 centimeters,
and a height of 4 centimeters.
What is the length of the longest pencil that can fit inside the tin?
Answer:
f
Step-by-step explanation:
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
Marlena solved the equation 2x + 5 = –10 – x. Her steps are shown below.
2x + 5 = –10 – x
3x + 5 = –10
3x = –15
x = –5
Use the drop-down menus to justify Marlena’s work in each step of the process.
Answer:
Marlena is CORRECT
Step-by-step explanation:
First step: add x on both sides.
you now have 3x + 5 = –10
Second step: subract -5 on both sides to isolate the variable term
you now have 3x = –15
Final step: divide 3 on both sides to isolate x
you now have x = –5
So x = -5
--------------------------------------------------
We can check our answer by plugging in -5 where ever you see x
2(-5) + 5 = –10 – (-5)
-10 + 5 = -10 + 5
-5 = -5
Since the equation is true, Marlena did solved the problem correctly
Answer:
step 1: addition property of equality
step 2: subtraction property of equality
step 3: division property of equality
Step-by-step explanation:
(These are the CORRECT ANSWERS to Edge unlike the other ppl answers)
Mr. Korhonen use 1/8 of a cup of laundry detergent when he does a load wash how many cups will have need to do 4 loads
Three times a number is less than 96.
Answer:
x is greater than sign then 32
Step-by-step explanation:
A road is inclined at an angle of 3°. After driving 5330 feet along this road, find the drivers increase in altitude
It cost Conner $1.20 to send 8 text messages. How much would it cost to send 98 text messages?
Answer:
14.70
Step-by-step explanation:
We can write a ratio to solve
1.20 x
------------------ = --------------
8 messages 98 messages
Using cross products
1.20 * 98 = 8x
117.60 = 8x
Divide by 8
117.60/8 = 8x/8
14.70 =x
Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. What is the maximum area of a Norman window whose perimeter is 9 feet?
The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:
πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:
A = (πr^2)/2 + rh
To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:
r = (9 - 2h)/(π)
Now we can rewrite the area function in terms of h only:
A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)
Simplifying this equation, we get:
A = (1/2)(9h - h^2/π)
To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:
dA/dh = 9/2 - h/π = 0
Solving this equation, we find:h = 9π/2
Substituting this value of h back into the area function, we get:
A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4
Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.
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a function f from a to b is a relation from a to b that satisfies two properties: for every xelement of a, there is a y element of b such that element of f for all elements x element of a and both y and z such that y element of b and z element of b: if (x,y) and (x,z) are in f, then
A relation from A to B is a function if it satisfies two properties:
For every x ∈ A, there is a y ∈ B, such that (x,y) ∈ FFor all elements x ∈ A and both y and z such that y ∈ B and z ∈ B, if (x,y) and (x,z) are both in F, then y = z.Suppose we have two sets A and B and we have a relation that maps elements of A to elements of B. A relation from A to B is defined as a function if every elements of A is related to exactly one element of B.
Let (x,y) is a pair of input and output. If (x,y) is related by a function f, we can denote (x,y) ∈ F
We can write the first condition as:
For every x ∈ A, there is a y ∈ B, such that (x,y) ∈ FSince x is mapped to the exactly one output, then if both y and z are elements of B and (x,y) and (a,z) are in F, then y must be equal to z. Hence, the second condition is:
2. For all elements x ∈ A and both y and z such that y ∈ B and z ∈ B, if (x,y) and (x,z) are both in F, then y = z.
There are typos in your question. Most likely your question was like on the attached picture:
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Explain how to use patterns or sequences to determine the last digit of the number 7N, where N is the four-digit year of your birth.
there are 15 squares and nine circles what is the simplest ratio of circles to total shapes?
Answer:
3 to 8
Step-by-step explanation:
There are 24 total shapes, 9 of which are circles. So we have the ratio 9 to 24, or 3 to 8.
20% of what numbner is 100
Answer:
The number is 500.
Step-by-step explanation:
Let n be the number
Convert percent to decimal
20% = 0.20
0.20n = 100
Divide both sides of the equation by 0.20
0.20n/0.20 = 100/0.20
n = 500
1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =
10 What is the length of side LM?*
Step-by-step explanation:
\( \underline{ \underline{ \text{Given}}} : \)
Length of MN ( Base ) = 8 Length of NL ( Hypotenuse ) = 10\( \underline{ \underline{ \text{To \: find}}} : \)
Length of LM ( Perpendicular )\( \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : \)
\( \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}\)
⤑ \( \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }\)
⤑ \( \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }\)
⤑ \( \sf{ \sqrt{100 - 64}} \)
⤑ \( \sf{ \sqrt{36}} \)
⤑ \( \boxed{ \sf{6\: units}}\)
\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}\)
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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someone help pls i’m confused
Answer:
CF = 12
DE = 23
CD = 23
DF = 23.9
Step-by-step explanation:
We can see that there are 2 right-angled triangles: DEF and CDF with common side FD.
They are right angled triangles because the EF and CF are radii of the circle and these segments intersect the tangents at 90°
The common side DF is the hypotenuse for both triangles
The sides EF and CF are radii of the circle so EF = CF
We have two triangles which have two sides equal and one of the angles equal to the corresponding angle of the other
By the SSA theorem, the two triangles are similar
SSA Theorem
if two sides and an angle not included between them are respectively equal to two sides and an angle of the other then the two triangles are equal
Therefore by the law of similar triangles,
CD = EF
Plugging in the expressions we get
13x - 16 = 4x + 11
Subtract 4x from both sides:
13x - 4x - 16 = 11
9x - 16 = 11
Add 16 to both sides:
9x - 16 + 16 = 11 + 16
9x = 27
x = 27/9 = 3
Therefore
ED = 4x + 11 = 4(3) + 11 = 12 + 11 = 23
and this is equal to CD
Using the Pythagorean theorem for right triangles,
For ΔDEF,
DF² = EF² + DE²
DF² = 12² + 23²
= 144 + 529
= 673
DF = √673
= 25.9422
= 25.9 rounded to the nearest tenth
So the measures of the segments are
CF = 12
DE = 23
CD = 23
DF = 23.9
The wind chill Index W is the perceived temperature when the actual temperature is T and the wind speed is v, so we can write W = f(T, v)
Estimating : Ft( -15,40 ) = ( 1.2 + 1.4 ) / 2 = 1.30⁰c
when the actual temperature is -15⁰c and the wind speed is 40 km/h the apparent temperatures increase by 1.3⁰c that the actual temperature rises
estimating: Fv ( -15,40 ) = (-0.2 + -0.1 ) / 2 = -0.15⁰c
when the actual temperature -15⁰c and the wind speed is 40 km/h the apparent temperature decreases by 0.15⁰c for every km/h that the wind speed
A) Estimating the values of Ft(−15, 40) and fv(−15, 40)
To estimate the value of Ft( -15,40 ) we have to take an average value hence Ft ( -15,40 ) = ( 1.2 + 1.4 ) / 2 = 1.30
and this means that when the actual temperature is -15⁰c and the wind speed is 40 km/h the apparent temperatures increase by 1.3⁰c that the actual temperature rises
To estimate the value of Fv(-15,40 ) we have to take an average value
hence Fv ( -15,40 ) = (-0.2 + -0.1 ) / 2 = -0.15
and this means that when the actual temperature -15⁰c and the wind speed is 40 km/h the apparent temperature decreases by about 0.15⁰c for every km/h that the wind speed.
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The complete question is :
The wind-chill index W is the perceived temperature when the actual temperature is T and the wind speed is v, so we can write W = f(T, v). (a) Estimate the values of fT(−15, 40) and fv(−15, 40). (Round your answers to two decimal places.) fT(−15, 40) ≈ fv(−15, 40) ≈ What are the practical interpretations of these values? When the actual temperature is −15°C and the wind speed is 40 km/h, the apparent temperature ---Select--- by about °C for every degree that the actual temperature rises. When the actual temperature is −15°C and the wind speed is 40 km/h, the apparent temperature.
Write and equation in standard form of the line shown.
m=5
b=0
y=5x+0
trust me
If two standard, six-sided die were rolled and the numbers that turned up on each were added together, which of the following would be the probability their sum would be equal to 4?
Answer:
3/36 or 8.333
Step-by-step explanation:
the way you get it is write all the possibilities and that how you get 3/36
Three times a number decreased by 5 equals 10. Write the equation and find the number.
Answer:
3x - 5 = 10
Step-by-step explanation:
PLEASE HELP!! WORTH 69 POINTS
Answer: is 14 square feet bro
Step-by-step explanatio
Answer:
look at the picture i have sent. thanks for the points