Answer:
$250
Step-by-step explanation:
Given: Cost for d days carnival = $2d^3 .....(i)
where d is number of days
Now we have to calculate the total cost incured for 5 days of carnival
we can simply put d = 5 in above equation (i)
= 2×5^3 = 2×125 = $250.
Therefore carnival cost if Eduardo goes for d 5 days = $250
rationalise the denoninator of 1 ÷ 5 - square root of 2
Answer:
Square root2 /3
Step-by-step explanation:
1. Multiply both numerator and denominator by square root of 2.
2. Square root 2 times itself is just 2 that so denominator is 5-2
3. 1 times Square root 2 is just Square root 2. So numerator is Square root 2
4. 5-2=3 so final answer is Square root 2 over 3
please I need answers to this question
Step-by-step explanation:
First, start with a diagram so you can 'see' the situation....I'll us a compass rose coordinate system ( see image below)
Vertical component of point C ( which is the resultant displacement from A)
900 sin(35) + 600 sin (130) = 975.845 km
Horizontal component 900 cos (35) + 600 cos (130) = 351.56 km
Using Pyhtagorean theorem d = sqrt ( 975.845^2 + 351.56^2) = 1037 km
distance from A to C = 1037 km
Bearing of C from A = arctan ( 975.845/351.56) = 70 degrees
A regular polygon has 12 sides find the size of each of its interior angles
Answer:
150°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° ( n - 2) ← n is the number of sides
Here n = 12, then
sum = 180° × 10 = 1800°
Since there are 12 interior angles, then
size of each interior angle = 1800° ÷ 12 = 150°
Find the interquartile range 1,3,1,1,1
Answer:
1
Step-by-step explanation:
Just use a calculator like calculatorsoup.com
Which graph is that of the inequality shown below?
Answer:
Graph C
Step-by-step explanation:
Each graph has the same slope and points, but only C works for this inequality- since you’re looking for less than or equal to, and only graphs b and c show less than, you know it’s one of those. From there you know it’s less than or equal to, so you want the full line, not dotted, since dotted represents that those values are excluded from the solution.
how many terms are in the following expression?
The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.
How to find the number of terms ?In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:
62 x- 4 y 5 zEach term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.
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The full question is:
How many terms are in the following expression 6 + 2 x - 4 y + 5 z
Solve it please!
-2f - 7(-8f + 3)
Answer:
3(18f−7) (factored)
54f−21 (simplified)
hope this helped :D
The current value of an investment is 125 percent of its initial value.The increase in value is $10million.What was the initial value of the investment
Answer:
$40 million
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Current value = 125%
which means that current value is 25% more than its initial value.
Let Initial Value = X
So, Increase in investment value = 25% × X = 0.25X
Given, increase value = $10million
So, 0.25X = $10 million
= X = $10million
= X = $10million ÷ 0.25
= X = $40 million
Hence the initial value of investment is $40million.
Tell whether (-1,2) is a solution of 8x+y>-6
Answer:
Not a solution.
Step-by-step explanation:
(x, y)
(-1, 2)
Substitute the x and y values in the expression with the point given.
8x + y > -6
8(-1) + 2 > -6
-8 + 2 > -6
-6 > -6
Since our final value has to be greater than -6 but is instead equal to -6, the solution is not true.
When loops are nested, __________ .
a. they typically share a loop control variable
b. one must end before the other begins
c. both must be the same type—definite or indefinite
d. none of the above
When loops are nested none ot the mentioned conditon holds . (D)
When loops are nested, there are no specific rules dictating how they must be structured. The design of nested loops depends on the specific problem being solved and the requirements of the program.
A loop control variable for one loop does not have to be shared with another, and there is no requirement for one loop to end before another begins. Additionally, nested loops do not have to be the same type, and can be a mixture of definite and indefinite loops.
hence none of the above conditon is statisfied therefore correct option is (D)
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Sara i making 3 batche of chocolate chip cookie and 3 batche of oatmeal cookie. Each batch of chocolate chip cookie ue 2 1/4 cup of flour. She will ue 12 3/4 cup of flour for all 6 batche. Determine how many cup of flour are needed for each batch of oatmeal cookie
The total amount of flour used for the oatmeal cookies is 6 cups and Each batch of oatmeal cookies uses 2 cups of flour.
We can start by using the information given to set up an equation for the total amount of flour used for the chocolate chip cookies.
We know that each batch of chocolate chip cookies uses 2 1/4 cups of flour and there are 3 batches of chocolate chip cookies.
So the total amount of flour used for the chocolate chip cookies is:
2 1/4 cups x 3 batches = 6 3/4 cups
We also know that the total amount of flour used for all 6 batches is 12 3/4 cups and we know how much flour is used for chocolate chip cookies: 12 3/4 cups - 6 3/4 cups = 6 cups
So the total amount of flour used for the oatmeal cookies is 6 cups.
And since there are 3 batches of oatmeal cookies, we can find out how many cups of flour are needed for each batch by dividing the total amount of flour by the number of batches:
6 cups / 3 batches = 2 cups
So each batch of oatmeal cookies uses 2 cups of flour.
Therefore, The total amount of flour used for the oatmeal cookies is 6 cups and Each batch of oatmeal cookies uses 2 cups of flour.
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Find a root of an equation f(x)=x³-3x-1 between -1 and 1, using False Position method, after the second iteration.
The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.
How to find the root of the equation \(\(f(x) = x^3 - 3x - 1\)\)The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.
Let's begin the iterations:
Iteration 1:
\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)
\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)
The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).
Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)
Iteration 2:
\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)
\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)
The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).
After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).
Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.
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approximately how long will it take for $250 to grow to $1,000 at an annual rate of 8%?
a. 4 years.
b. 25 years.
c. 18 years.
d. 9 years.
Answer:
Step-by-step explanation: the answer is 9 years
A log is 16 m long, correct to the nearest metre. It has to be cut into fence posts which must be 70 cm long, correct to the nearest 10
What is the largest number of fence posts that can possibly be cut from the log?
The largest number of fence post that can possibly be cut from the log is 23.8( nearest tenth)
What is word problem?A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.
For us to know the number of fence post that can be obtained from the log, we need to convert the length of the log into cm
Therefore;
1m = 100cm
16m = 16× 100 = 1600 cm
Therefore the maximum number of fence post that can be obtained is
1600/70 = 160/7
= 23.8 ( nearest tenth)
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1. Edgar meaure the temperature of a olution at the beginning of an experiment to be. He monitor the temperature of the olution every minute for 10 minute. He record the change in temperature from hi previou reading. Hi data how a decreae of four time, a decreae of three time, no temperature change two time, and an increae of once. (a) Write an expreion to repreent the average change in temperature each minute
The expression to represent the average change in temperature each minute is given as follows:
Mean = (4 x (-4) + 3 x (-3)+2 + 1)/10
How to calculate mean value?Only numerical variables regardless of whether they are discrete or continuous can be used to determine the mean. Simply dividing the total number of values in a data set by the sum of all of the values yields it.
Define mean value.The average of all values is termed as mean value. Add all values given in data and divide with no. of values to get mean.
According to given condition the expression to represent the average change in temperature each minute is represented as:
Mean = (4 x (-4) + 3 x (-3)+2 + 1)/10
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An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels 6 miles per hour faster than the westbound train. After 2 hours, they are 276 miles apart. At what speeds are the two trains traveling
Both? or just the westbound?
8. The table shows the possible outcomes of spinning the given
spinner and flipping a fair coin. Find the probability of the coin
landing heads up and the pointer landing on either 1, 2, or 4.
HT
1
H, 1
T, 1
2
H, 2
T, 2
3
H, 3
T, 3
4
H. 4
T, 4
5
H, 5
T, 5
The probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is 3/10.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
The probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is the sum of the probabilities of the two events occurring together for the outcomes where the pointer is on 1, 2, or 4 and the coin is heads up. From the table, we see that this occurs for the outcomes (H, 1), (H, 2), and (H, 4), which have a total probability of:
P(H and 1 or 2 or 4) = P(H and 1) + P(H and 2) + P(H and 4)
= 1/10 + 1/10 + 1/10
= 3/10
Therefore, the probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is 3/10.
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Jack has $20 in his savings account that earns 10% annually.The interest is not compound.How much will he have in 1 year?
Answer:
$22
Step-by-step explanation:
Given data
Principa= $20
rate= 10%
time= 1 year
The simple interest expression is given as
A= P(1+rt)
substitute
A= 20(1+0.1*1)
A= 20*1.1
A= $22
Hence the amount after 1 year is $22
What is the volume of this prism
Hi there!
\(\large\boxed{\text{A. } 320 cm^3}\)
We can begin by finding the area of the base in order to solve for the volume.
Use the formula for the area of a trapezoid:
A = 1/2(b1 + b2)h
Substitute the given values:
A = 1/2(10 + 6)5
A = 1/2(16)5
A = 40 cm²
Multiply by the depth of the prism to solve for the volume:
40 × 8 = 320 cm³
find the smallest perimeter and the dimensions for a rectangle with an area of 4 in^2.
then find the largest perimeter and the dimensions for that.
The smallest perimeter is P = 2L + 2W = 2(2) + 2(2) = 8 in, and the dimensions of the rectangle are 2 in by 4 in.
To find the smallest perimeter for a rectangle with an area of 4 in² using derivatives, we can set up an optimization problem. Let's denote the length of the rectangle as L and the width as W.
The formula for the area of a rectangle is given by A = L × W. Since we know the area is 4 in², we can write the equation as 4 = L × W.
To find the smallest perimeter, we need to minimize the perimeter function P = 2L + 2W while satisfying the area constraint.
We can rewrite the area equation as W = 4/L and substitute it into the perimeter equation to get P = 2L + 2(4/L).
Now, we find the derivative of the perimeter function with respect to L: \($dP/dL = 2 - \frac{8}{L^2}$\).
To find the minimum perimeter, we set the derivative equal to zero and solve for L:
\(2 - \frac{8}{L^2} = 0\\\\ 2 = \frac{8}{L^2}\\\\ L^2 = \frac{8}{2}\\\\ L^2 = 4\\\\ $L = \pm 2$\)
Since we're dealing with lengths, we take L = 2 (we discard the negative solution). Substituting this value back into the area equation, we find W = 4/L = 4/2 = 2
Therefore, the smallest perimeter is P = 2L + 2W = 2(2) + 2(2) = 8 in, and the dimensions of the rectangle are 2 in by 4 in.
Now, consider finding the largest perimeter. Since we're not given any constraints on the dimensions, the largest perimeter is unbounded and not defined for a fixed area of 4 in². As one side of the rectangle approaches infinity, the perimeter also approaches infinity. Therefore, there is no upper limit to the perimeter.
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A rectangular book measures 8 X 10. What is the length of its
diagonal?
Answer:
Length of the diagonals is\( \sqrt{ {8}^{2} +{10}^{2} } = \sqrt{64 + 100} = \sqrt{164} =2\sqrt{41}\\ =\boxed{12.8\: units} \)
12.8 units is the right answer.The diagonal length of the rectangular book is 12.8 units.
What is rectangular?A rectangle is "four sided polygon, having all the internal angles is equal to 90 degree. The two sides of each corner is right angles".
According to the question,
The length of rectangle is 8 units and the breadth of rectangle is 10 cm.
To find diagonal of the rectangle: Using Pythagoras theorem a² + b² = c².
c = \(\sqrt{a^2 + b^2}\)
= \(\sqrt{8^2 + 10^2}\)
= \(\sqrt{64 + 100}\)
= \(\sqrt{164}\)
= 2\(\sqrt{41}\)
= 12.8 units
Hence, the diagonal length of the rectangular book is 12.8 units.
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Subtract. Then, in two or more complete sentences, explained how you found the difference. In your explanation, make sure to include any equivalent expressions you wrote, any rules you used, and the answer.
-1 5/12 - 7/12
Answer:can I see a pic
Step-by-step explanation:plzzzz
Answer:
-1 5/12 - 7/12 = is -2/12
Step-by-step explanation:
identify the correct inverse trigonometric function to use to solve for the given angle
Considering the given triangle :
GIVEN :
• Opposite side to angle = 34
,• Adjacent side to angle = 48
,• We will use Tan = opposite /adjacent trigonometric fuction tocalculate angle
CALCULATIONS:
\(\begin{gathered} \tan\theta\text{ = opposite /adjacent } \\ \text{ }\tan\theta\text{ = }\frac{34}{48} \\ \Rightarrow\theta\text{ = }\tan^{-1}(\frac{34}{48}) \\ \therefore\text{ }\theta\text{ = }\tan^{-1}(0.71)\text{ } \end{gathered}\)Therefore , = tan^-1( 0.71)A right cylinder has a radius of 5 and a height of 9. What is its surface area? O A. 72 units O B. 90 units O c. 45rt units O D. 108r units
The formula to find the surface area of a cylinder is:
\(\begin{gathered} SA=2\pi r^2+2\pi rh\text{ } \\ \text{ Where} \\ SA\text{ is the surface area} \\ r\text{ is the radius} \\ h\text{ is the height} \end{gathered}\)In this case, we have:
\(\begin{gathered} r=5 \\ h=9 \end{gathered}\)\(\begin{gathered} SA=2\pi r^2+2\pi rh \\ SA=2\pi(5^2)+2\pi(5)(9) \\ SA=2\pi(25)+90\pi \\ SA=50\pi+90\pi \\ SA=140\pi \end{gathered}\)AnswerB. 140π units²
4. Daniel owns a street food business. He offers hot dogs at $2.10, slices of pizza ar
$3.70, and burritos at 14.30. This month he sold 1,884 hot dogs, 1,052 slices of pizza,
and 526 burritos. Which is the closest estimate of Daniel's total earnings this month?
Answer:
Step-by-step explanation:
(−10,−1) (0,1) slope that passes through the points
Using the common denominator, what is an equivalent fraction to 11/8 ?
Answer:
Equivalent fractions to 11/8
11/8, 22/16, 33/24, 44/32, 55/40, 66/48, 77/56, 88/64, 99/72, 110/80
Find the measure of the angle.
Answer:
24°
Step-by-step explanation:
Check file attatched! :D
(sorry for sloppy/etc writing haha, it's hard with a mouse lol)
\(\\ \sf\longmapsto <CBD=<ABD=96°\)
Now
\(\\ \sf\longmapsto m<EBD=\dfrac{1}{2}m<CBD\)
\(\\ \sf\longmapsto m<EBD=\dfrac{96}{2}\)
\(\\ \sf\longmapsto m<EBD=48\)
What is the relationship between 7 and —7?
Answer: absolute value
Step-by-step explanation:
Sorry for my writing it’s horrible ik I’m in a hurry rn lol
I need this answer please tell me the answer
Answer:
less than
\(1 \frac{1}{2} \)
I believe