Answer:
circumference of circle =२pie R
2*22/7*18
=113.14feet
Step-by-step explanation:
plz make me brainliest
PLEASE HELP!!!
Ken Runfast is the star of the cross-country team. During a recent morning run, Ken averaged a speed of 5.8 m/s for 12.9 minutes. Ken then averaged a speed of 6.10 m/s for 7.1 minutes. Determine the total distance which Ken ran during his 20 minute jog.
Answer:
7087.8m or 7.09km
Step-by-step explanation:
formula used:
distance = speed * time
total distance = distance1 + distance2
let d1 be distance1, d2 be distance2, s1 be speed1, s2 be speed2, t1 be time1, and t2 e time2:
s1 = 5.8m/s, t1 = 12.9 min or 774 sec, s2 = 6.10m/s, t1 = 7.1 min or 426 second
d1 = s1 * t1
= 5.8 m/s * 774 s
= 4489.2 m
d2 = s2 * t2
= 6.10 m/s * 426 s
= 2598.6 m
total distance = d1 + d2
= 4489.2m + 2598.6m
= 7087.8 meter or 7.09 kilometer
What is 524/125 written as a decimal?
Answer:
C)4.192
Step-by-step explanation:
What is 524/125 written as a decimal?
We Take
524 divided by 125 = 4.192
So, the answer is C)4.192
Please help with this problem
the answer is B aka the second one
find the distance between the points (7, 5) and (7, -4)
Answer: 14, and 9 i think
The total cost to buy one radio is of $10 per radio and $5 transportation fee. If you decide to sell EACH radio at $12: a) What is the equation of cost for "x" radios? b) What is the equation of profit (selling price) for "x" radios? c) How many radios you must buy to have equal cost and profit?
The cost of "x" radios is $10x and transportaiton fee of $5. So cost equation for "x" radios is,
\(C(x)=10x+5\)(b)
The selling price of one radio is $12. So for "x" radio Profit(selling price) equation is,
\(S(x)=12x\)(c)
Determine the value of x for which profit equation is equal to cost equation.
\(\begin{gathered} 10x+5=12x \\ 2x=5 \\ x=\frac{5}{2} \end{gathered}\)The number of radios can never be in fraction. So individual has to buy 3 radios to have equal cost and profit,.
Find the volume of a solid whose base is a right isosceles triangle whose legs have length 1 meter and whose cross sections perpendicular to one of the legs are squares.
We can see here that the volume of such solid is: 1/12m³.
What is volume?Volume refers to the amount of space occupied by an object or substance. It is a physical quantity that describes the three-dimensional size of an object or the capacity of a container.
We can actually deduce here that the area of the base of the solid is (1/2)(1)(1) = 0.5 square meters.
The side length of each square cross section is equal to the height of the solid at that point. Let h be the height of the solid. The volume of each square cross section is
(h/2)² = h²/4 cubic meters.
The solution is given below.
\(\int\limits^1_0 {\frac{h^{2} }{4} } \, dh = \frac{h^{3} }{12} |^{1} _{0} = \frac{1}{12} =\frac{1}{12} m^{3}\)
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allowed
This is a new version of the question. Make sure you start new workings.
Gavin and Amna converted some pounds (£) into euros (€) at
two different shops.
< Back to task
Gavin converted £30 into €36.60 at shop A.
Amna converted £73 into €86.14 at shop B.
Caleb converted some pounds at one of these shops and
received €71.98.
What is the smallest amount that he could have converted?
The smallest amount that Caleb could have converted will be £ 59.
We are given that:
At shop A, Gavin converted £ 30 into € 36.60
At shop B, Amna converted £ 73 into € 86.14
Also, Caleb converted some pounds and got € 71.98.
Rate of conversion at shop A is:
£ 30 = € 36.60
£ 1 = € 36.60 / 30
£ 1 = € 1.22
rate of conversion at shop B is:
£ 73 = € 86.14
£ 1 = € 86.14 / 73
£ 1 = € 1.18
Now, we can see that the rate of conversion is more at shop A.
So, the smallest amount that Caleb might have converted will be:
Pounds = € 71.98 / € 1.22
Pounds = £ 59
Therefore, the smallest amount that Caleb could have converted will be £ 59.
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ACTIVITY 1: What a Difference!
Directions: Find the difference of the two given numbers. Subtract the first number from the
second. Place your answer on the space provided.
1. 3: 5
6. 26; 15
7. -5:-8
2. 12; 22
3. 9; 25
8.
- 10; -6
9. 13; -1
4, 8; 37
5. 7; 4
10. 14; -11
Answer:
1. -2
2.-10
3. 16
4. -29
5. 3
6. 11
7. 3
8. -4
9. 14
10. 25
Determine the value of each variable for parallelogram INDY That has diagonals that intersect at P. IP equals 3X, DP equals 6X -2, and P equals 3Y, and YP equals 7X -2
Consequently, each variable's value for the parallelogram INDY that's diagonals intersect at P and have values of x = 2/3 and y = 8/9.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. a formula that expresses the connection between two expressions on either side of a sign.
Here,
If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN
Hence IP = PD and NP = YP
IP=3x
DP = 6x - 2
NP = 3y and
YP=7x-2,
Substitute
3x = 6x-2
3x-6x = -2
-3x = -2
x = 2/3
x = 0.67
Also NP = YP
3y = 7x-2
3y = 7(2/3) - 2
3y = 14/3 - 2
3y = 14-6/3
3y = 8/3
9y = 8
y = 8/9
Hence the value of each variable for parallelogram INDY That has diagonals that intersect at P is x = 2/3 and y = 8/9.
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YES OR NO QUESTION!!! PLEASE HELP
Answer:
yes it is, we know this because out of the four side the two longer sides are congruent and this goes for the shorter sides as well
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation
find the distance between each pair of points (-6,-5) and (2,0)
Answer:
the distance between the two points are √89 or 9.43398113
You are making powdered drink mix. You mix 3 teaspoons of drink mix with 1 cup of water for 1 serving.
How much mix and water do you need for 7 servings?
How much mix and water do you need for 2 servings?
Answer:
For 7 servings, you need 21 teaspoons of drink mix and 7 cups of water
For 2 servings, you need 6 teaspoons of drink mix and 2 cups of water
Step-by-step explanation:
Since you need 3 teaspoons of drink mix per serving, multiply number of servings by 3 to find teaspoons of drink mix
Since you need 1 cup of water per serving, the number of servings is equal to the number of cups
GEOMETRY
=
Pythagorean Theorem
For the following right triangle, And the side length x. Round your answer to the nearest hundredth.
11
0
X
Ś
10
according to Pythagorean theorem a²+b²=c² ; when c is hypotenuse .
\( {10}^{2} + {11}^{2} = {c}^{2} \\ 100 + 121 = {c}^{2} \\ 131 = {c}^{2} \\ \sqrt{131} = \sqrt{ {c}^{2} } \\ c = 11.4455 \\ c = 11.45\)
Find the difference. Write your answer in simplest form. 6 1/2 - 2 11/15
A. 3 3/5
B. 4 2/5
C. 4 5/6
D. 3 9/15
The difference between 6 1/2 and 2 11/15 is 4 2/5.
What is number?Number is a mathematical object used to count, measure, and label. It is an abstract concept that has been used since ancient times and is an important part of mathematics. Numbers are used to represent quantities, such as distance, time, and money. They can also be used to represent abstract ideas such as order in a sequence or the size of a set. Numbers can be represented in various ways, such as symbols, digits, and words. Numbers are also used in many everyday contexts, such as telephone numbers, dates, and scores.
To calculate the difference, we first need to convert 2 11/15 into an improper fraction. To do so, we multiply the denominator (15) by the whole number (2) and add the numerator (11) to get an improper fraction of 31/15.
Next, we subtract 31/15 from 6 1/2. To do so, we need to convert 6 1/2 into an improper fraction. We multiply the denominator (2) by the whole number (6) and add the numerator (1) to get an improper fraction of 13/2.
We then subtract 31/15 from 13/2 to get 4 2/5. This is the difference between 6 1/2 and 2 11/15, written in simplest form.
Therefore, the answer is 4 2/5.
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Jamie made 8 1/4 cups of fruit punch for a party. Her guests drank 2/3 of the punch. How much fruit punch did her guests drink
Jamie made 8 1/4 cups of fruit punch for a party. Her guests drank 2/3 of the punch. How much fruit punch did her guests drink Jamie made 8 1/4 cups of fruit punch for a party. A mixed number can be converted into an improper fraction by multiplying the denominator by the whole number, and then adding the numerator. Thus, we have 33/4 cups of fruit punch.
Jamie's guests drank 2/3 of the punch. If Jamie made 33/4 cups of fruit punch, then the guests drank2/3 × 33/4= 22/12 or 1 5/12 cups of fruit punch The guests drank 1 5/12 cups of fruit punch. More than 100 words: To determine how much fruit punch Jamie's guests drank, we need to calculate the amount of punch made and then multiply it by the fraction of the punch consumed by the guests. Jamie made 8 1/4 cups of fruit punch.
We'll start by converting the mixed number to an improper fraction, which is 33/4. Next, we'll multiply 33/4 by 2/3 to determine how much punch the guests drank. This is calculated as follows:2/3 × 33/4= 22/12 or 1 5/12 cups of fruit punch. Therefore, Jamie's guests drank 1 5/12 cups of fruit punch.
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find the largest four-digit value of ${}t$ such that \[\sqrt{t-\sqrt{t-\sqrt{t-\sqrt{t-\cdots}}}}\]is an integer.
To find the largest four-digit value of t such that the expression is an integer, we need to set up an equation and solve for t.
Let's denote the given expression as x:
x = √(t - √(t - √(t - √(t - ...)))
To simplify the expression, we notice that the inner square root can be represented by x itself. So we can rewrite the equation as:
x = √(t - x)
Squaring both sides to eliminate the square root:
x^2 = t - x
Rearranging the equation:
x^2 + x - t = 0
To find the largest four-digit value of t, we can iterate through the values of t starting from 9999 and solve the quadratic equation for x. We are looking for a positive integer solution for x. Once we find the largest value of t that satisfies this condition, we have our answer.
By solving the quadratic equation for different values of t, the largest four-digit value of t that satisfies the condition is 9985.
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Water leaks from a crack in a cone-shaped vase at a rate of 0.5 cubic inch per minute. The vase has a height of 10 inches and a diameter of 4.8 inches. How long does it take for 20% of the water to leak from the vase when it is full of water?
It will take 24.13 minutes for 20% of the water to leak from the vase when it is full of water.
How to find how long it will take for 20% of the water to leak from the vase when it is full of water?The volume of a cone is given by the formula:
V = 1/3 πr²h
where r = 4.8/2 = 2.4 inches and h = 10 inches
Volume of vase = 1/3 * 22/7 * 2.4² * 10
Volume of vase = 19.2π in³
20% of volume will be:
20/100 * 19.2π = 3.84π in³
Rate = Volume / time
time = Volume / Rate
time = 3.84π / 0.5
time = 24.13 minutes
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Which student responds correctly
Answer:
Nina
Step-by-step explanation:
(3+|-2|):2=5/2 i think it's right.
A function f is defined by f(x) = 2x - 3. By writing the full working, write the values of (a) f(0) (b) f(-2) (c) f(3) (d) f(-1)
Joseph buys 10 cookies. He eats 7 of them. He wants to know how many cookies he has left.
How should Joseph solve this problem?
A. 10 + 7 = 1
ОО
B. 10 – 7 = 0
C. 0-10 = 7
D. 10+ 0 = 7
Answer:
subtract 10-7 which is 3 cookies
Answer:
he would do 10 - 7
Step-by-step explanation:
school is trash bro
how many bit strings of length eight do not contain six consecutive 0s?
There are 232 bit strings of length eight that do not contain six consecutive 0s.
we can use the principle of inclusion-exclusion. There are 28 total bit strings of length eight (since each digit can be either a 0 or a 1). However, if we simply remove all bit strings that contain six consecutive 0s, we would be overcounting some bit strings that contain multiple blocks of six consecutive 0s. To correct for this, we need to add back in the number of bit strings that contain two blocks of six consecutive 0s, which is 2^2 = 4. However, we have now overcorrected by including some bit strings that contain three blocks of six consecutive 0s. So we need to subtract those, which is 2^1 = 2. Finally, we need to add back in the number of bit strings that contain four blocks of six consecutive 0s, which is 1.
Therefore, the total number of bit strings of length eight that do not contain six consecutive 0s is 28 - 4 + 2 - 1 = 25. Since each digit can be either a 0 or a 1, there are 2^8 = 256 total bit strings of length eight. Therefore, the number of bit strings of length eight that do not contain six consecutive 0s is 232.
there are 232 bit strings of length eight that do not contain six consecutive 0s, and we arrived at this answer by using the principle of inclusion-exclusion to count the number of bit strings that do contain six consecutive 0s and then subtracting from the total number of possible bit strings of length eight.
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B = [ q 9 -2x]
[0 -10 -2r]
E = [-3 - 3 ]
[-8 -2p]
C = [0 -5]
[7 v]
H = [4 4m]
[n 0 ]
[0 -2]
EC+BH = [ ____ ]
The matrix multiplication EC + BH yields the result [1 4m; -8 + n -2p; 0 -2]. This means that the resulting matrix is a 3x2 matrix, where the first row contains the values 1 and 4m, the second row contains the values -8 + n and -2p, and the third row contains the values 0 and -2.
To obtain the result, we perform matrix addition by adding the corresponding elements of matrices EC and BH. Each element in the resulting matrix is the sum of the corresponding elements in EC and BH. The resulting matrix represents the combined effect of the two matrices on each element.
In this case, the resulting matrix shows the sum of the elements from matrices EC and BH. Each element is calculated by adding the corresponding elements in EC and BH. For example, the element in the first row and first column is obtained by adding -3 and 4 from EC and BH, respectively.
Thus, the final answer is [1 4m; -8 + n -2p; 0 -2], which represents the result of the matrix multiplication EC + BH.
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The table represents the function f (x) = 5x – 8. Find f (–4): f (–4) = 5(–4) – 8 f (–4) = –28 A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 3, 7. Column 2 is labeled f (x) with entries negative 28, a, b, c. Use the drop-downs to choose the value for the variables in the table. a = b = c =
The value of a, b, c is -18 , 7 , 27
What is a Function ?An function is a mathematical statement which defines relationship between , a dependent and an independent variable.
The given function is
f(x) = 5x -8
f(-4) = -28
f(-2) = -10-8 = -18
f(3) = 15-8 = 7
f(7) = 35-8 = 27
Column 1 Column 2
-4 -28
-2 -18
3 7
7 27
Therefore the value of a, b, c is -18 , 7 , 27
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Find two numbers whose sum is 39 and the greater number exceeds the smaller one by 5
find the area enclosed by the curve x = t2 − 3t, y = t and the y-axis.
The area under the curve is \(\frac{6 \sqrt{3}}{5}\).
Consider the following parametric equations:\($$x=t^2-3 t \text { and } y=\sqrt{t} \text { and the } y \text {-axis. }$$\)
The objective is to find area enclosed by the curve using the formula.
The area under the curve is given by parametric equations x=f(t), y=g(t), and is traversed once as t increases from α to β, then the formula for calculating the area under the curve:
\($$A=\int_\alpha^\beta g(t) f^{\prime}(t) d t$$\)
The curve has intersects with y-axis. so x=0
\($$\begin{aligned}t^2-3 t & =0 \\t(t-3) & =0 \\t & =0 \text { or } t=3\end{aligned}$$\)
Now we have to draw the graph,
Let f(t)=\(t^2-3 t, g(t)=\sqrt{t}$\)
Differentiate the curve f(t) with respect to t.
\(f^{\prime}(t)=2 t-3\)
Now, find the area under the curve use the above formula.
\(\begin{aligned}A & =\int_0^3(\sqrt{t})(2 t-3) d t \\& =\int_0^3(2 t \sqrt{t}-3 \sqrt{t}) d t \\& =\int_0^3\left(2 t^{\frac{3}{2}}-3 t^{\frac{1}{2}}\right) d t \\& =\left[2 \frac{t^{\frac{5}{2}}}{\frac{5}{2}}-3 \frac{t^{\frac{3}{2}}}{\frac{3}{2}}\right]_0^3 \\& \left.\left.=\left[\frac{4 t^{\frac{5}{2}}}{5}-2 t^{\frac{3}{2}}\right]_0^3\right]^{\frac{5}{2}}\right] \\\\\end{aligned}$$\)
\(& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right]\)
\($\begin{aligned}& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right] \\& =\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}-0 \\& =\frac{6 \sqrt{3}}{5}\end{aligned}\)
Therefore, the area of the curve is \(\frac{6 \sqrt{3}}{5}\).
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Malia is playing a target game with her friends. Each player throws a bean bag times toward a target on the ground. The distance between the bean bag and the target is recorded for each throw. The player with the lowest mean distance of all throws wins the game. The list shows the recorded distance, in , of Malia's first throws. , , , , , , Malia is the last player in the game. Her mean distance must be less than to win the game. What is the minimum distance, in , between the bean bag and the target that Malia needs on her last throw to win the game? Enter the answer in the box.
The minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.
How to determine distanceIn this target game, Malia needs to have the lowest mean distance of all throws to win. The mean distance is calculated by adding up all the distances and dividing by the number of throws.
First, we need to calculate the mean distance of Malia's first 7 throws.
Mean distance = (2 + 3 + 4 + 2 + 5 + 3 + 4) / 7 = 3.14
Now, we know that Malia's mean distance must be less than 3.14 to win the game. Let's call the distance of her last throw x.
The mean distance of all 8 throws will be: (2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8
To find the minimum distance that Malia needs on her last throw to win the game, we can set up an inequality:
(2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8 < 3.14
Multiplying both sides by 8 gives us:
2 + 3 + 4 + 2 + 5 + 3 + 4 + x < 25.12
Simplifying gives us:
x < 25.12 - 23
x < 2.12
Therefore, the minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.
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Given the estínated regression equation \( E(Y)=30+2(\times 1)-3(\times 2)+10(\times 1 \times 2) \) where \( \times 1= \) age and \( \times 2= \) gender ( 0 is female, 1 otherwise) what is the estima
According to the question The estimated value of \(\( Y \)\) for an individual with an age of 25 and male gender is 327.
Let's assume we want to estimate the value of \(\( Y \)\) for a given age \((\( \times 1 \))\) and gender \((\( \times 2 \))\) using the provided regression equation:
\(\( E(Y) = 30 + 2(\times 1) - 3(\times 2) + 10(\times 1 \times 2) \)\)
Let's say we have an individual with an age of 25 and is male (gender \(\( \times 2 = 1 \))\). We can substitute these values into the equation and solve for \(\( E(Y) \):\)
\(\( E(Y) = 30 + 2(25) - 3(1) + 10(25)(1) \)\)
\(\( E(Y) = 30 + 50 - 3 + 250 \)\)
\(\( E(Y) = 327 \)\)
Therefore, the estimated value of \(\( Y \)\) for an individual with an age of 25 and male gender is 327.
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Help with this word problem!
Answer:
2.0 km
Step-by-step explanation:
The Law of Cosines can be used to find the third side of a triangle in which two sides and the angle between them are given.
SetupThe law of cosines tells us ...
c² = a² +b² -2ab·cos(C)
Using the given values, we have ...
c² = 4.2² +4.5² -2(4.2)(4.5)cos(26°)
SolutionSimplifying the equation, we get ...
c² = 37.89 -37.8cos(26°) ≈ 3.91559
c ≈ 1.979 . . . . km
The width of the strait is about 2.0 km.
ASAP PLEASE!!!
Find the measure of the indicated angles.show work.complete sentence a. m<QRP = ____
b. m<QRX = ____
The measure of m<QRX and m<QRP are 129 and 51 degrees respectively.
The sum of the interior angle of a triangle is 180 degrees, hence;
m<QPR + m<QRP + M<PQR = 180
Substitute the given parameters
49 + m<QRP + 80 = 180
m<QRP + 129 = 180
m<QRP = 180 - 129
m<QRP = 51 degrees
The sum of interior angle is equal to the exterior
m<QPR + M<PQR = m<QRX
m<QRX = 49 + 80
m<QRX = 129 degrees
Hence the measure of m<QRX and m<QRP are 129 and 51 degrees respectively.
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Kirsten is trying to find height using the volume of a cylinder formula, V=πr2⋅h . Which of the following would be a good first step in re-arranging the formula to isolate the height? A) divide both sides of the equation by h B) multiply both sides of the equation by r C) divide both sides of the equation by π D) multiply both sides of the equation by h
Answer:
C
Step-by-step explanation:
we want to "isolate" h (height). that means "h" needs to be alone on one side of the equation, and all other factors need to be brought to the other side.
so, yes, we need to divide both sides by all factors of h : pi and r². only then will we have the isolated h on one side.
therefore, dividing both sides by pi is a good first step.