The only time adding two numbers results in the same number is if one of the numbers is 0. So K is 0.
E=VIT how would I isolate the “V” variable
Answer:
\(V =\frac{E}{IT}\)
Step-by-step explanation:
You can isolate the "V" variable by dividing by IT on both sides:
\(\frac{E}{IT} =\frac{VIT}{IT}\)
On the left, the IT from the top and bottom cancel, leaving you with just V:
\(V =\frac{E}{IT}\)
find the perimeter of the regular hexagon
9 ft. 2 in.
please help asap thank u so much
Answer:660 in
Step-by-step explanation: Just add 6 sides, 9 ft= 108 in, + 2 in = 110, 110x6 = 660
Juliana invested $3,300 at a rate of 6.25% p.a. simple interest.
How many days will it take for her investment to grow to $3,450? 1
days Round up to the next day
To find the number of days it will take for Juliana's investment to grow, we can use the formula for simple interest
I = P * r * t.
I = interest earned
P = principal amount (initial investment)
r = interest rate per year (in decimal form)
t = time in years In this case,
Juliana's principal amount (P) is $3,300, the interest rate (r) is 6.25% or 0.0625, and she wants to reach $3,450. We need to solve for t. $3,450 = $3,300 * 0.0625 * t Divide both sides of the equation by ($3,300 * 0.0625) to isolate t:
t = $3,450 / ($3,300 * 0.0625)
t = 17 So it will take Juliana approximately 17 days for her investment to grow to $3,450.
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The Parent-Teacher Organization (PTO) is selling snacks after school on Thursdays to raise money for a Winter Wonderland dance. The table shows the number of different kinds of ice cream floats sold by the PTO after school last Thursday. Ice Cream Floats Sold Last Week Kind of Soda Number Sold Cola 12 Dr Pops 8 Lemon-lime 4 Root beer 36 Problem If the PTO sells 90 ice cream floats this Thursday, which prediction is NOT supported by the data in the table? A The number of root beer floats sold this week is 52. B The difference between the number of Dr Pops floats sold this week and the number of cola floats sold this week is 6. C The number of root beer floats sold this week will be greater than the number of all the other floats combined. D The number of lemon-lime floats sold this week will be half the number of Dr Pops floats sold.
Answer:
Step-by-step explanation:
greatest to least,
7.
1
33,34,3
3 17
20' 5
3.
The numbers arranged in decreasing order from greatest to least is given by 133 , 53 ,34 ,33 ,20 ,17 ,7 .
Decremental Order When numbers (or other items) are arranged from largest to smallest, this is known as decreasing order.
This is called the sorting of numbers. When various data are given then we can sort the number s accordingly.Numbers can be sorted in the increasing order or decreasing order.Increasing order is sorting from lowest to greatest.Given numbers are 7, 133 , 34, 33 ,17, 20 , 53.
From looking at the numbers to arrange them in decreasing order we can see that 133 is the greatest of the numbers , so it will come first.
Then comes 53 which is the second highest number , then comes 34 the third highest number and so on unless we get the least number which is 7.
Hence the given numbers are arranged greatest to least:
133, 53, 34, 33, 20, 17.
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Angle a and angle b are supplementary angles. If m angle a = (2x+10) and m angle b=(2x+2), then find the measure of angle a.
Answer:
a = 94
Step-by-step explanation:
if they're supplementary it means they equal to 180
you write an equation of both angles equaling to 180
180 = 2x + 10 + 2x + 2
add the equal terms
180 = 4x + 12
subtract the 12 from 180
168 = 4x
divide by 4
42 = x
then use x in the problem for angle a
2(42) + 10
84 +10 = 94
What is the area of the shaded region?
Answer:
208
Step-by-step explanation:
4*30 = 120
(15-4) * 8 = 88
88 + 120 = 208
Answer:
208 cm
Step-by-step explanation:
Solving right side first. 8*15=120
Take out 8cm from 30. 30 - 8 = 22
22*4= 88
88 + 120 = 208
Check work I found the total area and the white rectangle.
15*30=450 which in total area
15-4=11 11 is the left/right side of the white rectangle
30-8=22 22 is the top/bottom side of the white rectangle.
22*11= 242
208+242=450
Two balanced and fair dice are rolled. One is six-sided and the other is eight-sided. What is the probability of rolling a sum greater than 12 or a sum that is an odd number? Submit the answer as a simplified fraction. Use the forward slash (/) to separate the numerator from the denominator without spaces before or after. For example, three-fourths should be submitted as
5/6
The probability of rolling a sum greater than 12 or a sum that is an odd number after rolling two balanced and fair dice is 47/96.What is the probability of rolling a sum greater than 12 or a sum that is an odd number?The given information says that there are two balanced and fair dice. One is a six-sided die, and the other is an eight-sided die. We need to find the probability of rolling a sum greater than 12 or a sum that is an odd number after rolling the two dice.It's necessary to know the possible outcomes of the dice game when two dice are rolled. The 6-sided die has possible outcomes {1,2,3,4,5,6}, and the 8-sided die has possible outcomes {1,2,3,4,5,6,7,8}.The possible outcomes for each sum from 2 to 14 are shown below in the following table:The sum of the faces is odd if only one of the dice has an even number. In contrast, the sum of the faces is even if both dice have an even number. The red color represents the sum of the faces, which is an odd number, while the blue color represents the sum of the faces, which is an even number. Now we can easily calculate the total number of sums that are either greater than 12 or an odd number. It is important to note that the sum of 2 and 4 is even, and the sum of 13 and 14 is greater than 12. So the total number of sums that are either greater than 12 or an odd number is: 1 + 4 + 1 + 6 + 8 + 8 + 6 + 1 + 4 + 1 = 40It's also necessary to calculate the total number of possible outcomes when rolling two dice. The number of possible outcomes when rolling two dice is 6 x 8 = 48.We now have everything we need to find the probability of rolling a sum greater than 12 or a sum that is an odd number:Probability = Number of favorable outcomes / Total number of possible outcomes= 40/48 = 5/6Therefore, the probability of rolling a sum greater than 12 or a sum that is an odd number is 5/6.
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Graph the solutions of the linear inequality 3x + 3y > 6 .
Answer:
y > 2 − x
Step-by-step explanation:
claim sizes range between 0 and 1500. the probability that a claim is no greater than 500 is 0.8. claim sizes are uniformly distributed on (0; 500] and on (500; 1500]. calculate the expected claim sizes and its variance.
The expected claim size is 950 and the variance is 125000/9.
The probability that a claim is no greater than 500 is 0.8, which means the probability of a claim being greater than 500 is 0.2. The claim sizes are uniformly distributed on (0; 500] and on (500; 1500].
Therefore, the probability of a claim being in the range of (0; 500] is 0.8/2 = 0.4 and the probability of a claim being in the range of (500; 1500] is 0.2/2 = 0.1.
The expected claim size is calculated as the weighted average of the claim sizes in each range, where the weight is the probability of a claim being in that range. Thus, the expected claim size is (0.4 x 250 + 0.1 x 1000) = 950.
The variance of the claim size is calculated as the weighted average of the squared deviations from the expected claim size, where the weight is the probability of a claim being in that range. Thus, the variance is (0.4 x (250 - 950)^2 + 0.1 x (1000 - 950)^2) = 125000/9.
Therefore, the expected claim size is 950 and the variance is 125000/9.
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Do
this mathematics operations using the rules of precision
(9.11)+(6.232)
(7.4023)x(19)
(9.162)-(2.39)
(0.00482)x(213)
(8.73)/(5.198)
(7644)/(0.13)
Answer:
Step-by-step explanation:
Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:
(9.11) + (6.232)
The sum of 9.11 and 6.232 is 15.342.
(7.4023) x (19)
The product of 7.4023 and 19 is 140.844.
(9.162) - (2.39)
The difference between 9.162 and 2.39 is 6.772.
(0.00482) x (213)
The product of 0.00482 and 213 is 1.02786.
(8.73) / (5.198)
The division of 8.73 by 5.198 is 1.67920734.
(7644) / (0.13)
The division of 7644 by 0.13 is 58,800.
Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.
19. If 4 + 2(3x - 4) = 8, then 4x -4 =
4
8
6
2
Answer:
4
Step-by-step explanation:
First, solve for x:
4 + 2(3x - 4) = 8
4 + 6x - 8 = 8
6x = 12
x = 2
Now, plug x into 4x - 4:
4(2) - 4 => 8 - 4 = 4
area de un triangulo rectangulo si saben digame por favorrrrr
Solve for x:
-4x+1`=-9x+16
Answer:
zxc
Step-by-step explanation:
xzcsdcasc
Answer:
x=3
Step-by-step explanation:
−4x+1+9x=−9x+16+9x
5x+1=16
Step 2: Subtract 1 from both sides.
5x+1−1=16−1
5x=15
Step 3: Divide both sides by 5.
5x/5 =15/5
x=3
i. Show that = (a, b) and w = (-b, a) are orthogonal vectors. ii. Use the result in part i. to find two vectors that are orthogonal to √=(2, -3). iii. Find two unit vectors that are orthogonal to 7
i. Vectors u and w are orthogonal.
ii. The two vectors orthogonal to v = √(2, -3) are u = (3, 2) and w = (-2, 3).
iii. The two unit vectors orthogonal to 7 are u = (1, -1) / √2 and w = (1, 1) / √2.
i. To show that vectors u = (a, b) and w = (-b, a) are orthogonal, we need to demonstrate that their dot product is zero.
The dot product of u and w is given by:
u · w = (a, b) · (-b, a) = a*(-b) + b*a = -ab + ab = 0
ii. To find two vectors orthogonal to vector v = √(2, -3), we can use the result from part i.
Let's denote the two orthogonal vectors as u and w.
We know that u = (a, b) is orthogonal to v, which means:
u · v = (a, b) · (2, -3) = 2a + (-3b) = 0
Simplifying the equation:
2a - 3b = 0
We can choose any values for a and solve for b. For example, let's set a = 3:
2(3) - 3b = 0
6 - 3b = 0
-3b = -6
b = 2
Therefore, one vector orthogonal to v is u = (3, 2).
To find the second orthogonal vector, we can use the result from part i:
w = (-b, a) = (-2, 3)
iii. To find two unit vectors orthogonal to 7, we need to consider the dot product between the vectors and 7, and set it equal to zero.
Let's denote the two orthogonal unit vectors as u and w.
We know that u · 7 = (a, b) · 7 = 7a + 7b = 0
Dividing by 7:
a + b = 0
We can choose any values for a and solve for b. Let's set a = 1:
1 + b = 0
b = -1
Therefore, one unit vector orthogonal to 7 is u = (1, -1) / √2.
To find the second unit vector, we can use the result from part i:
w = (-b, a) = (1, 1) / √2
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Blake is throwing a party to celebrate his perfect score on his most recent arithmetic exam. He would like to serve Cheese Filled Lizards and Fried Frog Skins. Cheese Filled Lizards cost $8 per pound and Fried Frog Skins go for $6 per dozen. Blake was able to save $432 by recycling old aluminum cans and intends to spend the entire amount on his soiree
Blake can purchase approximately 60.75 pounds of Cheese Filled Lizards and 10 dozen of Fried Frog Skins with the $432 he saved by recycling old aluminum cans.
How to determine how much of each item Blake can purchase?First we need to set up some equations.
Let's denote the amount of Cheese Filled Lizards in pounds as "c" and the number of dozen Fried Frog Skins as "f". We can then set up the following system of equations:
8c + 6f = 432 (the total cost of the party is $432)
12f = k (the number of Fried Frog Skins in individual pieces, k is an unknown constant)
To solve for "c" and "f", we need to eliminate one of the variables. We can do this by solving the second equation for "f" and substituting it into the first equation:
f = k/12
8c + 6(k/12) = 432
8c + (1/2)k = 432
16c + k = 864
Now we have a single equation in two variables. We can choose one of the variables and solve for it in terms of the other. For example, solving for "k" in terms of "c", we get:
k = 864 - 16c
Substituting this expression for "k" into the equation 12f = k, we get:
12f = 864 - 16c
f = (72/4) - (4/3)c
f = 18 - (4/3)c
So we have expressed the number of Fried Frog Skins in terms of the amount of Cheese Filled Lizards. We can now substitute this expression into the cost equation:
8c + 6(18 - (4/3)c) = 432
Solving for "c", we get:
8c + 108 - 8c/3 = 432
16c/3 = 324
c = 60.75
So, Blake can purchase approximately 60.75 pounds of Cheese Filled Lizards and 10 dozen of Fried Frog Skins with the $432 he saved by recycling old aluminum cans.
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The sum of the measures of the interior angles of a polygon is 5 times the sum of the measures of the exterior angles. How many sides does the polygon have
Answer:
polygon has 12 sides
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
the sum of the interior angles of a polygon is
sum = 180° (n - 2 ) ← n is the number of sides
given the sum of the interior angles is 5 times sum of exterior angles, then
sum = 5 × 360° = 1800° then
180° (n - 2) = 1800 ( divide both sides by 180 )
n - 2 = 10 ( add 2 to both sides )
n = 12
Thus the polygon has 12 sides
Describe and sketch the region given by ∫ 1 ∫√y dxdy.
0 0
The region given by the integral \($\int_1^{\sqrt{y}} \int_0^y dx \ dy$\) is a triangle bounded by the x-axis, the line $x = 1$ and the line \($x = \sqrt{y}$. T\)
The integral\($\int_1^{\sqrt{y}} \int_0^y dx \ dy$\) represents a double integral over the region bounded by the x-axis, the line $x = 1$, and the line $x = \sqrt{y}$ in the y-x plane.
To better understand the region described by this integral, let's break it down into two parts: the outer integral \($\int_1^{\sqrt{y}}$\) and the inner integral \($\int_0^y$.\)
The outer integral\($\int_1^{\sqrt{y}}$\) represents the limits of integration for y, which range from 1 to\($\sqrt{y}$\). This means that y varies from 1 to\($\sqrt{y}$\), which describes a region that starts from the point (1,1) on the y-x plane and extends up to the curve\($x = \sqrt{y}$\).
The inner integral\($\int_0^y$\) represents the limits of integration for x, which range from 0 to y. This means that x varies from 0 to y along the y-axis, which describes a region that is bounded by the x-axis, the line $x = 1$, and the line\($x = \sqrt{y}$.\)
Putting these two integrals together, we can visualize the region as a triangle in the y-x plane. The base of the triangle is the line segment from (1,1) to \(($\sqrt{y}$, $\sqrt{y}$)\), and the height of the triangle is the line segment from \(($\sqrt{y}$, 0)\) to \(($\sqrt{y}$, $\sqrt{y}$)\).
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In this activity, you will find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wash.
Answer:
16
Step-by-step explanation:
75/5 is 15 and in order to start making a profit than you have to wash 16 cars
hope this helps
Answer:
Step-by-step explanation:
The idea is to find out after what number car washed will they begin to make money. That means that this is an inequality. If they charge $5 per car, and the number of cars is our uknown, then the expression for that charge is 5x. If they need to make more than what they spent on setting up, they want to make more than $75, which looks like this: > 75. Putting that together:
5x > 75 and solving for x,
x > 15.
That means that they have to wash 15 cars to just break even and starting on the 16th car on up, they will see a profit.
GINVING BRAINLIST
Which graph can be used to find the solution to the system of equations listed below?
A) Graph F
B) Graph G
C) Graph H
D) Graph J
the information contained in a probability distribution has to be summarized into a single measure to be used to make decisions. what is this measure called?
Poisson distribution is the measure to summarize the information contained in a probability distribution in a single parameter.
Poisson distribution gives the probability of an event occurring a certain number of times (k) within a specified time period.
It is denoted by λ , which is the mean number of events.
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A cell phone weighs about 28x 10^n pounds. Which value of n is most reasonable? A.-3
B.-1
C.0
D.1
Answer:
B.
Step-by-step explanation:
Usually, cell phones weigh from 0.35 pounds to 0.44 pounds.
I would say that -1 is the best because -3 makes is too small.
a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study. true or false
True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.
What is a performance comparison?
They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.
The measures are employed in productivity improvement projects to monitor changes in productivity over time.
Why is performance measurement important?
Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.
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Convert 30 days into minutes
Answer:
43200 minutes
Step-by-step explanation:
We start with 30 days.
The following two equations are true
\(1 day = 24 hours\)1 hour = 60 minutesTo convert units away from days, we'll want to multiply by an expression that is equal to 1 (so that we don't change the actual amount of time we're measuring) where the units in the denominator (bottom of the fraction) are days, so that they'll cancel with the units of "days" from 30 days.
In the first equation, if we divide both sides by 1 day, we'll get a fraction, equal to 1, with days in the denominator:
\(1 ~day = 24~ hours\)
\(\dfrac{1 ~day}{1 ~day} = \dfrac{24 ~hours}{1 ~day}\)
\(1= \dfrac{24~ hours}{1 ~day}\)
This will cancel units of days, and give an equivalent length of time in hours.
Multiplying by 1 doesn't change anything
\(30~days=30~days*1\)
As shown above, 24 hours divided by 1 day is equal to "1". Substitute...
\(=30~days*\dfrac{24 ~hours}{1 ~day}\)
Dividing by 1 doesn't change anything...
\(=\dfrac{30~days}{1}*\dfrac{24 ~hours}{1 ~day}\)
Multiply fractions together by multiplying numerators, and multiplying denominators...
\(=\dfrac{30~days~*~24 ~hours}{1*1 ~day}\)
Commutative Property of Multiplication -- switch order of denominator...
\(=\dfrac{30~days~*~24 ~hours}{1 ~day~*~1}\)
Multiplying fractions together is multiplying numerators, and multiplying denominators, so this just pulls those fractions apart...
\(=\dfrac{30~days~}{1 ~day}*\dfrac{24 ~hours}{1}\)
Days divided by Days is like 5 divided by 5. Any non-zero thing divided by itself is 1, and cancels out...
\(=\dfrac{30}{1}*\dfrac{24 ~hours}{1}\)
Dividing by 1 doesn't change anything...
\(=30~*~24 ~hours\)
Multiply the numbers together...
\(=720~hours\)
From here, we can do a similar process to convert from hours to minutes:
\(720~hours=720~hours*1\)
\(=720~hours*\dfrac{60~minutes}{1~hour}\)
\(=\dfrac{720~hours}{1}*\dfrac{60~minutes}{1~hour}\)
\(=\dfrac{720~hours~*~60~minutes}{1~*~1~hour}\)
\(=\dfrac{720~hours~*~60~minutes}{1~hour~*~1}\)
\(=\dfrac{720~hours}{1~hour}*\dfrac{60~minutes}{1}\)
\(=\dfrac{720}{1}*\dfrac{60~minutes}{1}\)
\(=720*60~minutes\)
\(=43200~minutes\)
Side note: Some of these steps may seem "obvious" to you. If so, great! You can skip them / merge them together and process things more quickly.
13. If ZA and ZB are supplementary angles and ZA
is three times as large as ZB, find the measures
of ZA and ZB.
Answer:
A. ZA+ZB =180
B. ZA is 135 and ZB is 45
Step-by-step explanation:
Step-by-step explanation:since ZA and ZB are supplementary
ZA+Zb =180°
But ZA=3ZB
∴ 3ZB+ZB=180° ⇒4ZB=180°
∴ZB =45
The local bike shop sells a bike and accessories package for $266. If the bike is worth 6 times more than the accessories, how much does the bike cost?.
The cost of the bike is $40 and that accessories is $6.65
What are words problem?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Let the cost of the accessories be x, therefore, the cost of the bike is 6x,
According to the equation,
6x × x = 266
6x² = 266
x² = 44.33
x = 6.65
Therefore, the cost of the bike is = 6 × 6.65 = 39.94 ≈ 40
Hence, the cost of the bike is $40 and that accessories is $6.65
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Caleb needs to place a ground cover
under a tent. The floor of the tent measures 82 feet by 92 feet.
He purchases a ground cover that states that it covers 90 square
feet. Will the ground cover be able to be used under the tent?
Explain your reasoning.
One cover is not enough to cover tent, Caleb will need at least 84 ground covers to cover the entire floor of the tent.
How to find the Cover area of the tent?To determine if the ground cover will be sufficient, we need to calculate the area of the tent floor and compare it with the area covered by the ground cover.
The area of the tent floor is:
82 feet x 92 feet = 7544 square feet
The area covered by one ground cover is:
90 square feet
To determine the number of ground covers needed to cover the tent floor, we can divide the area of the tent floor by the area covered by each ground cover:
7544 square feet ÷ 90 square feet ≈ 84
Therefore, Caleb will need at least 84 ground covers to cover the entire floor of the tent. As the number of ground covers required is greater than one, we can conclude that the ground cover will be able to be used under the tent.
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The art club had an election to select a president. 25% of the 80 members of the club voted in the election. How many members voted?
Answer:
20, the answer is 20 members
Answer:
3) On a test of 25 questions, a student 4) Alisa earned $30 raking leaves. She ... 80% horror. 6Sn-sdo 1800 ... How many tickets were a) What percent of her weight did sold? ... b) Atlantic Auditorium has 850 seats. b) At the next visit, we were happy to see ... members of the art club voted in the more students joined. election.
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST!!!!
Answer: 36 degrees
Step-by-step explanation: 180 degrees - 144 degrees = 36 degrees
Answer:
A = 54 d and x = 45 B = 45 so a = 54 and x= 45 and b= 45 and x = 45
A sailboat costs $26,232. You pay 10% down and amortize the rest with equal monthly payments over a 8-year period. If you must pay 7.5% compounded monthly.what is your monthly payment? How much interest will you pay?Monthly payments: $(Round to two decimal places.)Interest: $(Round to two decimal places.)
Step 1- Write out the Present Value of Annuity formula:
\(PV=P\times\frac{1-(1+\frac{r}{n})^{-t\times n}}{\frac{r}{n}}\)Where
\(\begin{gathered} PV=\text{ the present value} \\ P=\text{ the periodic payment} \\ n=\text{ the number of payments in a year} \\ r=\text{ annual interest rate} \end{gathered}\)Step 2- Write out the given values and substitute them into the formula:
\(\begin{gathered} PV=\$26232(1-0.1)=\$26232\times0.9=\$23608.80 \\ n=12 \\ r=0.075 \end{gathered}\)Substituting the values into the formula, we have:
\(23608.80=P\times\frac{1-(1+\frac{0.075}{12})^{-8\times12}}{\frac{0.075}{12}}\)Therefore,
\(23608.80=72.0260P\)Dividing both sides by 72.0260, we have:
\(P=\$327.78\)Hence, the monthly payment is $327.78.
The total amount T paid is given by:
\(T=\$327.78\times8\times12=\$31466.88\)Hence, the interest I is given by:
\(I=31466.88-23608.80=\$7858.08\)Therefore, the monthly payment is $327.78 and the interest paid is $7858.08