Answer:
96
Step-by-step explanation:
Each face of the cube has an area of 4 * 4 = 16 and since there are 6 faces on a cube the answer is 16 * 6 = 96.
please answer all of theses asap
Answer:
1. won 50 games and lost 32 games
2. 233 Democrats and 202 Republicans
3. 360 miles
4. 6 hours
5. 18 miles
Step-by-step explanation:
Question 1
let x = number of games lostlet y = number of games wonFrom the given information:
Equation 1: x + y = 82Equation 2: x = y - 18Substitute Equation 2 into Equation 1 and solve for y:
⇒ y - 18 + y = 82
⇒ 2y - 18 = 82
⇒ 2y = 100
⇒ y = 50
Substitute found value of y into Equation 2 and solve for x:
⇒ x = 50 - 18
⇒ x = 32
Therefore, the team won 50 games and lost 32 games.
Question 2
let d = number of Democratslet r = number of RepublicansFrom the given information:
Equation 1: d + r = 435Equation 2: d = r + 31Substitute Equation 2 into Equation 1 and solve for d:
⇒ r + 31 + r = 435
⇒ 2r + 31 = 435
⇒ 2r = 404
⇒ r = 202
⇒ d = 233
Substitute found value of d into Equation 2 and solve for r:
⇒ 233 = r + 31
⇒ r = 202
Therefore, there were 233 Democrats and 202 Republicans.
Question 3
Given:
v = 180 m/ht = 2 hDistance (d) = vt
⇒ d = 180 × 2
⇒ d = 360 miles
Question 4
Given:
v = 70 mi/hd = 420Time (t) = d ÷ v
⇒ t = 420 ÷ 70
⇒ t = 6 hours
Question 5
Let c = velocity of carLet b = velocity of busIf the velocity of the bus is 12 mph less than the car then:
⇒ c = b + 12
Given journey times:
Car: t = 30 mins = 0.5 hBus: t = 45 mins = 0.75 hDistance (d) = vt
Create two equations for distance:
Bus
⇒ d = b × 0.75 = 0.75b
⇒ d = 0.75b
Car
⇒ d = (b + 12) × 0.5
⇒ d = 0.5b + 6
Distance for both vehicles is the same. Equate the two equations for d and solve for b (velocity of bus):
⇒ d = d
⇒ 0.75b = 0.5b + 6
⇒ 0.25b = 6
⇒ b = 24 mph
Substitute the value of b into one of the distance formulas and solve for d:
⇒ d = 0.5(24) + 6
⇒ d = 18 miles
Can some please help I’m stuck :(
Answer:
"I Only" is the correct answer
Step-by-step explanation:
Given inequality is:
-10>3x-6
In order to check which numbers are solution to the given inequality, we will put each number one by one in the inequality. If the inequality is true after putting the number, the number is the solution of the inequality.
So,
I . -10
Putting -10 in the inequality
\(-10>3x-6\\-10>3(-10)-6\\-10>-30-6\\-10> -36\)
The inequality results in true after putting x=-10 so -10 is the solution of inequality.
II. 5
Putting 5 in the inequality
\(-10>3x-6\\-10>3(5)-6\\-10>15-6\\-10>9\)
The equality doesn't hold true for x=5 so 5 is not the solution of the problem.
III. -1
Putting -1 in the equation
\(-10>3x-6\\-10>3(-1)-6\\-10>-3-6\\-10>-9\)
Inequality doesn't hold true for x=-1 so it is not the solution of the inequality.
Hence,
"I Only" is the correct answer as only -10 is the solution of inequality.
Can someone help me with number 3 please there is 3 answers!!
Answer:
m<J = 83
m<L = 97
m<M = 97
Step-by-step explanation:
The corners across (left to right/right to left) from each other of a trapezoid are always equal.
So, it would be like this:
Angle J is equal to angle K
Angle M is equal to angle L
See how they are across from each other?
Therefore, Angle J will be 83 degrees.
To find the other 2 angles subtract 83 from 180
180 - 83 = 97
So, Angle L and M are 97 degrees.
To check your answer you can add up all the corners and they should equal 360 degrees:
83 + 83 + 97 + 97 = 360
360 = 360
Hope this helps!!
- Kay :)
If the company were to issue an annual zero-coupon bond with a maturity of 2 years and a par value of $1,000, what would be the arbitrage-free price of that bond?
Answer:
Step-by-step explanation:
\(\text{here is the missing text:} \\ \\ \text{ Suppose a company issues an annual coupon bond with a maturity of 2 years,} \\ \\ \text{ price of $950 \ par \ value \ of $1,000, and coupon rate of 5\% They also issue an}\)
\(\text{ annual zero-coupon bond with a maturity of 1 year, price of $900, \ and \ par \ value \ of \ $1,000.}\)
\(\text{To determine the 1-year spot rate using the 1-year zero bond.} \\ \\ FV = PV \times (1 + S_1) \\ \\ 1+ S_1 = \dfrac{FV}{PV} \\ \\ 1 + S_1 = \dfrac{1000}{900} \\ \\ S_1 = 11.11\%\)
\(\text{PV of the 2-year bond = 950} \\ \\ Annual coupon = 1000 \times 5\% = \$50 \\ \\ \\ 950 = \dfrac{50}{(1+S_1) }+ \dfrac{(50+1000)}{(1+S_2)^2} \\ \\ 950 = \dfrac{50}{1.1111}+ \dfrac{1050}{(1+S_2)^2} \\ \\ \dfrac{1050}{(1+S_2)^2}=950 -45\\ \\ \dfrac{1050}{(1+S_2)^2}=905 \\ \\ (1+S_2)^2 = \dfrac{1050}{905} \\ \\ 1 + S_2= \sqrt{(1.16022)} \\ \\ S_2 = 7.714\%\)
\(\text{the arbitrage-free price of the 2-year bond}= \dfrac{1000}{(1+0.07714)^2} \\ \\ = \mathbf{\$861.90}\)
Find the slope of the given table
Answer:
7/3
Step-by-step explanation:
6- 13 = -7
0-3 = -3
7/3
What is the value of (ΣX)2 for the scores 1, 5, 2?(PLEASE EXPLAIN)10163064
The value of (ΣX)² for the scores 1, 5, 2 is:
64
It is the representation of the sum of infinite or many values. And it is represented by the following symbol:
∑xi
The value of (ΣX)² for the scores 1, 5, 2 can be found by first finding the summation of the scores and then squaring the result.
Steps to follow:
Step 1: Find the summation of the scores.
ΣX = 1 + 5 + 2 = 8
Step 2: Square the summation.
(ΣX)² = 82 = 64
Therefore, the value of (ΣX)² for the scores 1, 5, 2 is 64.
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A wedding menu has 5 starters, 3 mains, and 4 desserts. The list gives the meal options each attendee must choose from. a starter and a main, a main and a dessert, a starter, a main, and a dessert. How many different ways of choosing a meal for this wedding are there
There are 60 different ways of choosing a meal for this wedding.
How many different ways of choosing a meal?There were five distinct main courses available for selection.
There are a total of 15 possible main dish and salad combinations when ordering these 5 distinct main meals together with any one of the 3 available salads.
A total of 60 distinct main dishes, salads, and dessert combinations are conceivable by ordering one of the four potential deserts for each of the 15 various main meals and salad combinations.
60 distinct main dishes might be purchased since.
There are 60 different ways of choosing a meal for this wedding
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Which statement is NOT true?
Answer:
A, a rhombus has all the properties of a square.
Step-by-step explanation:
Not all quadrilaterals will be the same
Max is going to order a breakfast platter at the breakfast club he chose one style of eggs one type of meat and one kind of toast the following table shows the options available to him
Answer: Can you Please Provide The Table?
Then I am Sure I can Get You 100% On this question.
Answer:
48 different breakfast platters
Step-by-step explanation:
Hope this helps!
HELP ME PLZ !!!!!!!!
Answer:
LM=JM
Step-by-step explanation:
If Jk=Lk Maybe that K was not 90 This means that the triangles are not congruent if it was K = 90 maybe Jk ≠ Lk and that means the two triangles are not congruentif LM = GM و MK = MK It means that the two triangles are congruentSuppose an automobile maker producing a certain kind of car suddenly experiences an increase in the demand for the car. According to our definition of short-run and long-run, in the short run:
In the short run, an automobile maker experiencing an increase in the demand for a certain kind of car will be limited in its ability to adjust its production capacity.
In economics, the short run refers to a period of time during which some factors of production are fixed, while others can be adjusted. In the context of the automobile maker facing increased demand for a specific car, the short run implies that certain aspects of production capacity cannot be changed immediately.
In the short run, the automobile maker may not have the flexibility to expand its production facilities or build new manufacturing plants. This means that the company is constrained by its existing resources and production capacity. Instead, the company can make temporary adjustments to production levels by utilizing existing resources more efficiently, such as adding additional shifts or optimizing the utilization of labor and machinery.
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thanks for all the help so far!
question in photo!
The graph that represents a function is graph C.
Which of these represent a function?There is something called the vertical line test. It says that if we have the graph of a relation and we cand draw a vertical line that touches the graph more than once, then it is not a function.
In this case, for options A, B, and D, we can see that we can draw vertical lines that touch the graph more than once, then tese are not functions.
Then the correct option is C, that is a parabola, which is a function.
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1. Determine the probability that a student will begin college during the summer semester and attend an in-state college.
2. Determine the probability that a student will begin college during the summer semester given that he is attending an in-state college.
PLEASE SHOW STEPS
Step-by-step explanation:
Total number of students:
178 + 21 + 301 + 162 = 6621)
The probability that a student will begin college during the summer semester and attend an in-state college:
P = 178/662*100% = 26.89% (rounded)2)
The probability that a student will begin college during the summer semester given that he is attending an in-state college:
P = 178/(178 + 301)*100% = 37.16% (rounded)ill mark brainliest
Solve the proportion.
b/36=5/9
b=
Answer:
20
Step-by-step explanation:
36➗4=9
20➗4=5
2(x+4) + 12 = 38
please help
Answer:
x = 9
Explanation:
So when you solve this you get: 2x + 20 = 38
You would then subtract 20 from 38 to isolate the 'x' variable, thus giving you 2x = 18. From here you would divide by two to completely isolate x.
x = 9. The variable 'x' equals 9. If you put the number 9 into the equation in place of 'x' then you would get 38 = 38, therefore proving that x = 9
a bag contains 5 red marbles, 6 blue marbles, 10 white marbles and 9 yellow marbles. you are asked to draw 5 marbles from the bag without replacement. what is the probability of drawing 3 or more white marbles?
the probability of drawing 3 or more white marbles when 5 marbles are drawn from the bag without replacement.
To calculate this probability, we can use the formula for the hypergeometric distribution, which is:
P(X ≥ 3) = [C(10,3) * C(10,2)] / C(30,5) + [C(10,4) * C(10,1)] / C(30,5) + [C(10,5)] / C(30,5)
Where C(n,r) is the number of ways to choose r items from a set of n items.
formula is that we need to consider three different cases: drawing exactly 3 white marbles, drawing exactly 4 white marbles, and drawing all 5 white marbles. For each case, we calculate the probability of drawing the required number of white marbles and the probability of drawing the remaining marbles (non-white marbles), and then multiply them together. Finally, we add up the probabilities for all three cases to get the total probability of drawing 3 or more white marbles.
Using the formula, we get:
P(X ≥ 3) = [(C(10,3) * C(20,2)) + (C(10,4) * C(20,1)) + C(10,5)] / C(30,5)
= [(120 * 190) + (210 * 20) + 252] / 142506
= 0.209
Therefore, the probability of drawing 3 or more white marbles when 5 marbles are drawn from the bag without replacement is 0.209.
using the hypergeometric distribution formula, we can calculate the probability of drawing 3 or more white marbles from a bag containing 5 red marbles, 6 blue marbles, 10 white marbles, and 9 yellow marbles when 5 marbles are drawn without replacement. The probability is 0.209.
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A recipe requires 3 cups of sugar for every 1 ½ cup of flour. At this rate, how much flour would be needed for 2 cups of sugar?
Answer:
1/2
Step-by-step explanation:
I need help ASAP, will give brainliest. Also please give reasoning
Answer: S and T.
Step-by-step explanation:
I watched a video on how to do this just to answer, so it might not be right LOL. But since the angles are the same if you draw them from each other they both show the angles are equal which means the lines are parallel.
After Christmas, there were 16 pounds of gravy mother out the gravy of equal amounts into 9 containers that could fit in her refrigerator. How much gravy was in each container
Answer:16/9======1 7/9
which cards are equevent to 1/2 + 6/9? choose all the correct answers
The card equivalent to fraction 1/2 + 6/9 is 1(3/18).
We have,
1/2 + 6/9
= 1/2 + 2/3
= (3 + 4)/6
= 7/6
= 1(1/6)
Now,
Each card has different addition of fractions.
a)
1/11 + 6/11
= 7/11
b)
9/18 + 11/18
= 20/18
= 10/9
= 1(1/9)
c)
10/18 + 8/18
= 18/18
= 1
d)
21/18
e)
7/11
f)
1(3/18)
= 21/18
= 7/6
= 1(1/6)
We see that,
Fraction 1(3/18) is equivalent to 1/2 + 6/9.
Thus,
The card equivalent to fraction 1/2 + 6/9 is 1(3/18).
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HELP ASAP!!! Carter is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he makes. Let P represent Carter's total pay on a day on which he sells a computers. The table below has select values showing the linear relationship between x and P. Determine the base pay Carter makes regardless of computer sales.
1. The base pay Carter makes regardless of computer sales is $100
2. The linear relationship that shows the sales will be P = 100 + 10x
How to illustrate the expression?From the information given, Carter is a salesperson who sells computers at an electronics store and he makes a base pay amount each day and then is paid a commission for every computer sale he makes.
The starting salary is $100. This is the base pay.
The commission given is $10 per good sold. Therefore, the expression will be:
= 100 + 10x
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The function f is defined by f (x) = sin(x2). What are the first four nonzero terms of the Taylor series for f', the derivative of f, about x = 0 ? A .1- x^4/2! + x^8/4! - X^12/6!
B .2x- 6x^5/3! + 10x^9/5! - 14x^13/7!
C .3x^2- 5x^4/3! + 7x^6/5! - 9x^8/7!
B .2x^3- 2x^7/3! + 2x^11/5! - 2x^15/7!
The correct answer is option B: 2x- 6x^5/3! + 10x^9/5! - 14x^13/7!.
To find the first four nonzero terms of the Taylor series for f', we need to first find the derivative of f(x) = sin(x^2).
The derivative of f(x) is f'(x) = 2x*cos(x^2).
Now we can use the Taylor series formula to find the first four nonzero terms of the Taylor series for f' about x = 0:
f'(x) = f'(0) + (f''(0)/1!)*x + (f'''(0)/2!)*x^2 + (f''''(0)/3!)*x^3 + ...
f'(0) = 2(0)*cos(0^2) = 0
f''(0) = 2*cos(0^2) - 4(0^2)*sin(0^2) = 2
f'''(0) = -8(0)*cos(0^2) - 8(0)*sin(0^2) = 0
f''''(0) = -8*cos(0^2) + 48(0^2)*sin(0^2) = -8
So the first four nonzero terms of the Taylor series for f' about x = 0 are:
f'(x) = 2x - (8/3!)*x^3 = 2x - (8/6)*x^3 = 2x - (4/3)*x^3
Therefore, the correct answer is option B: 2x- 6x^5/3! + 10x^9/5! - 14x^13/7!.
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An air cannon
launches a T-shirt upward toward basketball
fans. It reaches a maximum height and then
descends for a couple of seconds until a fan
grabs it. Sketch the graph that represents this
situation.
Distance (ft)
When an air cannon fires a T-shirt upward toward the basketball, the highest height it can reach is 50 and the time until a fan snatches it is 5 seconds.
what is graph ?Using visual charts or representations, mathematicians utilize graphs to logically communicate facts or values. A graph point often illustrates the relationship between two or more objects. In a graph, a non-linear data structure, nodes, or vertices, and edges come together. The nodes, also known as vertices, should be adhered together. The edges of this graph, E=1, 2, 1, 3, 2, 4, and (2.5), have the following values: V=1, 2, 3, 5, (3.5). (4.5). Visual depictions of exponential development in statistics include bar charts, pie charts, line charts, and more. a triangle-shaped logarithmic graph
given
y = x( 0.4 - 0.008x)
x=0
0.4 - 0.008x =0
0.4 - 0.008x
50 = x
y = 5
When an air cannon fires a T-shirt upward toward the basketball, the highest height it can reach is 50 and the time until a fan snatches it is 5 seconds.
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Economists have found that the amount of corruption in a country's government is correlated to the gross domestic product (gdp) per capita of that country. this can be modeled by y=507x−8030 where x is the corruption score and y is gdp per capita in dollars. corruption scores range from 0 to 100 with 0 being highly corrupt and 100 being least corrupt. using this model, a country with a corruption score of 99 would have what gdp per capita? round your answer to the nearest dollar.
According to the given model, a country with a corruption score of 99 would have a GDP per capita of approximately $41,657.
The given model, y = 507x - 8030, represents the correlation between the corruption score (x) and GDP per capita (y) of a country.
To find the GDP per capita for a corruption score of 99, we substitute x = 99 into the equation. Thus, y = 507(99) - 8030.
Solving this equation, we get y = 49893, which represents the GDP per capita in dollars. To round this value to the nearest dollar, we consider the decimal part of the number. Since the decimal part is greater than or equal to 0.5, we round the whole number up.
Therefore, the GDP per capita for a country with a corruption score of 99 would be approximately $41,657.
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(9x10^12)-(8.1x10^9)
Answer:
8.99.19 × 10^12 or
8991900000000
Step-by-step explanation:
9000000000000 (12 zeros)
Minus
8100000000 (8 zeros, the 1 takes the 9th decimal place)
Equals = 8991900000000
6(m+2)+6m=-5(-7m-7) Solve for m.
Answer:
m = -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
m = -1
☽------------❀-------------☾
Hi there!
~
Let's solve your equation step-by-step.
\(6(m+2)+6m=-5(-7m-7)\)
Step 1: Simplify both sides of the equation.
\(6(m+2)+6m=-5(-7m-7)\)
\((6)^{(m)} + (6)(2)+6m= (-5)(-7m)+(-5)(-7)\) (Distribute)
\(6m+12+6m=35m+35\)
\((6m + 6m)+(12)=35m + 35\) (Combine Like Terms)
\(12m + 12 = 35m + 35\)
\(12m + 12 = 35m + 35\)
Step 2: Subtract 35m from both sides.
\(12m + 12 - 35m = 35m + 35 - 35m\)
\(-23m + 12 = 35\)
Step 3: Subtract 12 from both sides.
\(-23m + 12 - 12= 35 - 12\)
\(-23m = 23\)
Step 4: Divide both sides by -23.
\(\frac{-23m}{-23} = \frac{23}{-23}\)
\(m = 1\)
❀Hope this helped you!❀
☽------------❀-------------☾
How do I find x lol, pls help
Answer:
x = 65
Step-by-step explanation:
Exterior angle thm states the 2 interior angles of a triangle are equal to the exterior angle:
x + 48 = 2x - 17
x - 2x = -17 - 48
-x = -65
x = 65
An ant travels at a constant rate of 30 cm every 2 minutes.
At what pace does the ant travel per minute?
Answer:
30/2
15 cm per min
Step-by-step explanation:
Answer:
15 cm per minute
Step-by-step explanation:
30/2=15
How much money does Hector need to buy 3 CDs and 7 cell phones?
Answer:
i need more info, like how much r the CDs and the phones
Step-by-step explanation:
what is the value of r at the end of this c code? x=4; y=5; z=8; x=x y; r=y; if (x>y) { r=x; } if(z>x
The value of `r` at the end of this c code is `20`.
In the given C code, first the values of `x`, `y`, and `z` are initialized to `4`, `5`, and `8`, respectively.
The next line is `x=x*y;` which multiplies `x` and `y` and stores the result in `x`.
Therefore, `x` now has the value of `20`.The value of `r` is then assigned to `y` which has a value of `5`.
Therefore, `r` now also has a value of `5`.The next lines contain two `if` statements, both of which compare `x` and `y`. The first statement `if(x>y)` is `true` as `x` has the value of `20` and `y` has the value of `5`. Therefore, the code inside this block `{}` is executed which assigns the value of `x` to `r`. T
herefore, `r` now has the value of `20`.The next `if` statement `if(z>x)` is `false` as `z` has the value of `8` and `x` has the value of `20`.
Therefore, the code inside this block `{}` is not executed.
Hence, the final value of `r` is `20`.
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