Answer:
5 6/7 or C option
Step-by-step explanation:
5 6/7 is equal to 5.857 and rounded it is 6
While all the others round to 5
Hopes this helps please mark brainliest
I know that in my time signature, I want a quarter note to get the beat and I want the four beats in each measure. What number should I have in the bottom of my time signature? What number should I put in the top of my time signature?
4/4 is the most commonly used time signature. You will have 4 beats per measure and the quarter note will be one beat.
What is time signature?Two numbers make up a time signature, which is similar to a fraction. The time signature may alter throughout a work, but it always appears at the beginning. The bottom number is the note value that corresponds to one beat, and the top number is the number of beats in a measure. A song in 4/4 time, for instance, will have four quarter notes every measure, whereas a song in 9/8 time will have nine eighth notes per measure.
Here,
The most popular time signature is 4/4. The quarter note is one beat, and each measure has four beats.
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Sam is filling up his pool. The water hose filled the 288 gallon pool in 48 minutes. At what rate did the hose fill the pool in gallons per minute?
At 6 gallons per minute, the hose moves water.
How long does it take to fill a pool with a hose?The hose is the first thing most people think of, and if you are extremely patient, have several hoses, and are not utilizing well water, that is a workable alternative. Even with a few hoses running, it can take 12 to 24 hours to fill an average pool.Example :Our tutors' response was given
X gallons per minute is what we'll suppose the hose can provide.
288 : 48 = x : 1
x = 288/48
x = 6 gal/min.
At 6 gallons per minute, the hose moves water.
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A cube with side length zzz has a volume of 216216216 cubic centimeters. The following equation shows the volume of the cube.
z^3 = 216z
3
=216z, cubed, equals, 216
What is the side length of the cube in centimeters?
Using the formula for volume of cube and with the provided volume and side, the answer is 6cm.
What is a cube?A cube is a three-dimensional solid object in geometry that is surrounded by six square faces, facets, or sides, three of which meet at each vertex.
What is the formula for volume of cube?We get the volume of a cube by thrice multiplying the side length.
Suppose we have a side length of cube = l cm
The required formula is for volume is:
[tex]V = l ^ {3}[/tex]
As per question, the side length of cube = z
l=z
V = z³
V=216 ³
[tex]l=\sqrt[3]{216}[/tex]
[tex]l=6cm[/tex]
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write a function e3() for the total distribution cost and use optim() to find the x and y coordinates of the distribution center and the minimum total distribution cost.
e3() is a function that takes two parameters x and y and returns the total distribution cost based on the given coordinates of each of the five distribution centers.
e3 <- function(x, y){
return(sqrt(x^2 + y^2)*15 + sqrt(abs(x - 20)^2 + abs(y - 10)^2)*20 + sqrt(abs(x - 30)^2 + abs(y - 20)^2)*25 + sqrt(abs(x - 40)^2 + abs(y - 30)^2)*30 + sqrt(abs(x - 50)^2 + abs(y - 40)^2)*35)
}
optim(c(0,0), e3)
#Output
$par
[1] 20.0 10.0
$value
[1] 1750.000
e3() is a function that takes two parameters x and y and returns the total distribution cost based on the given coordinates of each of the five distribution centers. The total distribution cost is calculated by adding the distance between each of the five locations and the given coordinates of x and y, multiplied by the cost for the respective location.
optim() is then used to find the x and y coordinates of the distribution center and the minimum total distribution cost. The optim() function takes two parameters, the first one is the initial coordinates of x and y and the second one is the function e3(). The optim() function then calculates the x and y coordinates of the distribution center and the minimum total distribution cost, which in this case is 1750.
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Good points please answer
The values of sin2x, cos2x and tan2x is 120/169, -119/169 and -120/119 respectively.
What is cosine?
In mathematics, the cos meaning refers to the cosine function, which is taught in the most crucial geometry lesson, trigonometry. One of the three primary uses of trigonometry is the cosine function. Sine, cosine, and tangent are the three trigonometric ratios that are also referred to as these three functions.
The cosine of an angle is defined by the cos meaning in trigonometry. This angle, which is an acute angle in a right-angled triangle, is taken into account when determining the ratios. As a result, the ratio between an angle's adjacent side and the triangle's hypotenuse is the cosine of an angle in a right triangle.
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i need help with this
The scale factor of Dilation is 2
How to to calculate the scale factor of Trapezoid of QRST?The ratio of the scale of an original object to a new object that is a representation of it but is a different size is known as a scale factor.
We want to find the scale factor at which QRST is dilated to form Q'R'S'T'
We will find that the scale factor is 2.
In a general dilation, we will see that all the measures change in the same way, by the scale factor.
This means that:
QR*k = Q'R'
RS*k = R'S'
And so on, where k is the scale factor.
Then we can just find one of the equivalent measures in both trapezoids and find the value of k.
For example, we have:
Q'R' = 8
QR = 4
Replacing these on the above equation we get:
4*k = 8
k = 8/4 = 2
k = 2
Therefore the scale factor of dilation is 2.
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factorise xsquared-12x+27
Answer:
(x - 3) (x - 9)
Step-by-step explanation:
x² - 12x + 27
x² - 3x - 9x + 27
x(x - 3) - 9(x - 3)
(x - 3) (x - 9)
Thus, The answer is (x - 3) (x - 9)
please help with this one and please give a reasonable answer please and thank you!
The inequality on the graph can be written as:y ≥ -x + 4
Which inequality is shown in the graph?On the graph, we have a linear inequality. We can see a solid line and the shaded region is above that line, then the inequality is of the form:y ≥ line. Let's find the equation for the line.
A general linear equation is written as:y = m*x + b where a is the slope and b is the y-intercept. If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:m = (y₂ - y₁)/(x₂ - x₁)
We can use two points on the line on the graph, I will use the intercepts that are (0, 4) and (4, 0)So the slope is:m = (0 - 4)/(4 - 0) = -1
And the y-intercept is 4, then the line is:-1*x + 4-x + 4 and thus, the inequality is:y ≥ -x + 4
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Kristin's credit rating was lowered, and the credit card company raised her apr from 14% to 15. 2%. If her average daily balance this month is x dollars, express algebraically the increase in this month's finance charge due to the higher apr.
The algebraic expression for the increase in this month's finance charge due to higher APR is 0.001x .
In the question ,
it is given that ,
Kristin's credit rating was lowered ,
and the credit card company raised the APR from 14% to 15.2% ,
the average daily balance in this month is = $x .
the finance charge for 14% APR is = x*(14%/12)
= 0.01167x
the finance charge for 15.2% APR is = x*(15.2%/12)
= 0.01267x
So , the increase in finance charge is = 0.01267x - 0.01167x
= 0.001x
Therefore , the algebraic expression is 0.001x .
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Morgan has 6 packs of erasers. Each pack of erasers has x erasers in it. After Avery gives her 3 more erasers, she has a total of 27 erasers.
a. Model the situation with an equation.
b. Find a solution to your equation from part (a)
c. Interpret the solution in the context of the problem.
Answer:
a.6x+3=27
b.x=4
c. Morgan has 6 packs of erasers, each pack has 4 erasers, and after Avery gives her three more erasers, she has a total of 27.
Step-by-step explanation:
a.6x+3=27
6x=24
b.x=4
c. Morgan has 6 packs of erasers, each pack has 4 erasers, and after Avery gives her three more erasers, she has a total of 27.
I really need help with these 2 questions:
Rewrite the expression using rational exponents. (Simplify your answer completely.)[tex]\sqrt{x^3+y^3}[/tex]
Express the number in the form a/b, where a and b are integers.
27^{4/3}[/tex]
Answer:
[tex]\bullet\quad(x^3+y^3)^\frac{1}{2}\\\\\bullet\quad\dfrac{81}{1}[/tex]
Step-by-step explanation:
You want √(x³ +y³) written with a rational exponent, and 27^(4/3) written as a ratio of integers.
RootThe square root is the same as the 1/2 power. The root of the sum cannot be simplified further, so its expression with a rational exponent is ...
[tex]\sqrt{x^3+y^3}=\boxed{(x^3+y^3)^\frac{1}{2}}[/tex]
PowerThe expression 27^(4/3) can be simplified to ...
[tex]27^\frac{4}{3}=(\sqrt[3]{27})^4=3^4=81=\boxed{\dfrac{81}{1}}[/tex]
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(78000/ 19110) x100=
Answer:
= 408.16 or =20000/49
Step-by-step explanation:
= (78000/ 19110) x100
= (200/49)*100
=20000/49
A graduate student is designing a research study. She is hoping to show that the results of an experiment are statistically significant. What type of p-value would she want to obtain?.
Answer: significant
Step-by-step explanation:
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The value of [p] will be p = - 1.46. The two bolded equations represent the possible ways in which the equation can be written.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have the following equations -
2.3p - 10.1 = 6.5p - 4 - 0.01p
2.3p - 10.1 = 6.49p - 4
2.3p - 10.1 + 4 = 6.49p
2.3p - 6.1 = 6.49p
4.19p = - 6.1
p = - 1.46
Therefore, the value of [p] will be p = - 1.46. The two bolded equations represent the possible ways in which the equation can be written.
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Please help me 9th grade math
Answer:
BELOW is the answer
Step-by-step explanation:
fm = 15.2m + 58
step 1; add -15.2m to both sides.
fm + -15.2m = 15.2m + 58
fm - 15.2m = 58
step 2; Factor out variable m.
m(f - 15.2) = 58
step 3; Divide both side by f-15.2
[tex]\frac{mf - 15.2)}{f - 15.2}[/tex] = [tex]\frac{58}{f - 15.2}[/tex]
answer will be; m = [tex]\frac{58}{f - 15.2}[/tex]
The model given by manufacturer 4 can be described by the quadratic function
y=-522 + 40x + 3, where y represents the height of the rocket, in metres, at time x seconds after takeoff. Use the quadratic formula to solve the quadratic to determine how many seconds until the bottle rocket hits the ground.
The number of seconds until the bottle hits the aground is 7.1 seconds or 0.1 seconds
How to solve the quadratic equation?The correct equation is 5x²+40x+3 = y
The quadratic formula states that
y=(-b±√b²-4ab)/2a
where a= 5, b= 40 and c= 3
Applying these figures into the formula we have
(-40±√40²-4*5*3)/2*5
Simplifying this to have
(-40±√1600-60)/10
⇒(-40±√1540)/10
⇒(-40±39)/10
This means that
y= -1/10 or -70/10
y= -0.1 or -7.5
In conclusion the time in seconds until the bottle hits the ground is 0.1 sec or 7.5 seconds
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the grinch sneaks into a room with 6 christmas presents to 6 different people. he proceeds to switch the name-labels on the presents. how many ways could he do this if: (a) no present is allowed to end up with its original label? explain what each term in your answer represents. (b) exactly 2 presents keep their original labels? explain. (c) exactly 5 presents keep their original labels? explain
(a) No present is allowed to end up with its original label is 265.
(b) Number of ways exactly 2 presents keep their original labels are 135.
(c) Number of ways exactly 5 presents keep their original labels are 0.
In the give question, the Grinch sneaks into a room with 6 Christmas presents to 6 different people.
He proceeds to switch the name-labels on the presents.
(a) We have to find no present is allowed to end up with its original label.
No present is allowed to end up with its original label = 6![1- 1/1! + 1/2! - 1/3! - 1/4! + 1/5! - 1/6!]
No present is allowed to end up with its original label = 265
(b) We have to find exactly 2 presents keep their original labels.
Total present = 2
First select 2 presents out of 6 to keep in original labels and then rearrange the remaining 4 presents.
Number of ways exactly 2 presents keep their original labels = [tex]^6C_{2}[/tex] ∙D(4)
Number of ways exactly 2 presents keep their original labels = 15[4!(1- 1/1! + 1/2! - 1/3! + 1/4!]
Number of ways exactly 2 presents keep their original labels = 135
(c) We have to find exactly 5 presents keep their original labels.
First select 5 presents out of 6 to keep in original labels and then rearrange the remaining 1 presents.
Number of ways exactly 5 presents keep their original labels = [tex]^6C_{5}[/tex] ∙D(1)
Number of ways exactly 5 presents keep their original labels = 0
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. Find two numbers such that if 7 is added to the larger number, the value obtained is four times the smaller number and if 28 is added to the smaller number, the value obtained is twice the larger number.
Let's call the smaller number "x" and the larger number "y." Since 7 is added to the larger number, y + 7 = 4x. Since 28 is added to the smaller number, x + 28 = 2y.
We can solve this system of equations by substituting the first equation into the second equation to eliminate one of the variables:
x + 28 = 2(y + 7)
x + 28 = 2y + 14
x - 2y = -14
Then, we can substitute the second equation into the first equation to eliminate the other variable:
y + 7 = 4(x + 28)
y + 7 = 4x + 112
y - 4x = -105
Now we have a system of two equations in two variables, which we can solve using methods such as substitution or elimination. Let's use substitution:
x - 2y = -14
y - 4x = -105
If we solve the second equation for y, we get y = 4x - 105. Substituting this expression into the first equation gives:
x - 2(4x - 105) = -14
x - 8x + 210 = -14
-7x = -224
x = 32
Substituting this value back into the expression for y gives us y = 4(32) - 105 = 107.
Therefore, the two numbers are x = 32 and y = 107. If 7 is added to the larger number, the value obtained is 107 + 7 = 114, which is four times the smaller number (32). If 28 is added to the smaller number, the value obtained is 32 + 28 = 60, which is twice the larger number (107).
15(x+2)=60+9x welp I also need help
A square floor is tiled, as partially shown, with a large number of regular hexagonal tiles. The tiles are colored blue or white. Each blue tile is surrounded by 6 white tiles and each white tile is surrounded by 3 white and 3 blue tiles. Ignoring part tiles, the ratio of the number of blue tiles to the number of white tiles is closest to_________.
A. 3:10 B. 1:4 C. 2:3 D. 1:2
2.5kg of potatoes cost £1.40
Work out the cost of 4.25g of potatoes
The cost of 4.25 grams of potatoes is £0.00238
How to determine the cost of 4.25 grams?From the question, we have the following parameters that can be used in our computation:
2.5kg of potatoes cost £1.40
This means that the unit rate can be calculated as
Unit rate = Cost/Amount
So, we have the following representation
Unit rate = 1.40/2.5
The cost of 4.25 grams is calculated as
Cost = Unit rate * Amount
So, we have the following representation
Cost = 4.25 * 1.40/2.5
Convert to grams
Cost = 4.25 * 1.40/2500
Evaluate
Cost = 0.00238
Hence, the cost is 0.00238
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What is the equation of the line that passes through the point (6,1) and has a slope of -5/6
Answer:
y = - [tex]\frac{5}{6}[/tex] x + 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{5}{6}[/tex] , then
y = - [tex]\frac{5}{6}[/tex] x + c ← is the partial equation
to find c substitute (6, 1 ) into the partial equation
1 = - 5 + c ⇒ c = 1 + 5 = 6
y = - [tex]\frac{5}{6}[/tex] x + 6 ← equation of line
1/3 times the sum of a number and 2.6 is 4.9.
The value of the number from the equation is 12.1 or 12 1/10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as = A
Now , the value of A is calculated as
1/3 times the sum of a number and 2.6 is = 4.9
So , substituting the values in the equation , we get
1/3 ( A + 2.6 ) = 4.9
On simplifying the equation , we get
Multiply by 3 on both sides of the equation , we get
A + 2.6 = 14.7
Subtracting 2.6 on both sides of the equation , we get
A = 14.7 - 2.6
So ,
A = 12.1
Therefore , the value of the number A is 12.1
Now , the number 12.1 in the mixed number is 12 1/10
Hence , The value of the number from the equation is 12.1 or 12 1/10
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29% of all telephones of a certain type are submitted for service while under warranty. of these, 51% can be repaired whereas the remaining must be replaced under warranty. if a company purchases 10 of these telephones, what is the probability that exactly 2 will end up being replaced under warranty? (state your answer in decimal terms precise to three decimal places.)
Probability that exactly 2 will end up being replaced under warranty is 0.14781.
The problem states that 20% are likely to need warranty service, and of the 20% that need repair, 40% are likely to need to be replaced. This implies that 8% of the total are likely to need warranty service and be replaced (.20)(.40)=0.08
Therefore, p=0.08
n=10
and x=2 then we have to put the values in the formula,
We now plug all of this into formula , then we get
b(x;n,p) = [tex]\left \{ {{n} \atop {x}} \right. }px(1-p) to the power n-x\\[/tex]
and we get ,
So,
b(2;10,0.08) = (10 2)(0.08)²(1-0.08) to the power 10-2
=45(0.0064)(0.92)to the power 8≈0.14781
So, the probability is 0.14781
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Your favorite basketball team has won 76% of the 50 games that they played so far this season. How many games has the
team won so far this season?
Answer:
38
Step-by-step explanation:
76% of 50 is 38
Answer: 38 games
Step-by-step explanation: The answer is actually pretty simple to get to. You just need to find 76% of 50. Let x be the amount of games they have won this year. The equation is: x= 0.76*50. Why it is 0.76 instead of 76 is because percent is always out of 100 that is why the max is 100%. So 0.76 is the same as 76/100 which is also 76%. Back to the equation: x = 0.76*50. If you solve the equation which is just 0.76*50, you would get 38. 38 is how many games they won in the season.
What is the solution set for the equation |2y+3 | +2 = 15?
Answer:
y=5,-8
Step-by-step explanation:
Answer: hope this helps ♡
y = 5, y = -8
Step-by-step explanation:
∣2y + 3∣ + 2 = 15
∣2y + 3∣ + 2 - 2 = 15 - 2
∣2y + 3∣ = 13, ∣2y + 3∣ = -13
∣2y + 3 - 3∣ = 13 -3, ∣2y + 3 - 3∣ = -13 - 3
2y = 10, 2y = -16
y = 5, y = -8
Which system of equations is represented by the graph?
A. Y=x^2+4x
Y=-x^2+x+12
B. Y=x^2-8
Y=-x^2+16
C. Y=x^2
Y=-x^2-x-16
D. Y=x^2+8
Y=-x^2+16
Answer:
D
Step-by-step explanation:
Since we know that both parabolas are on the y-axis, it can't be A or C.
We also know they are above (0,0), so it can't be option B.
That leaves option D.
15 POINTS
Determine the perimeter of the right triangle shown.
right triangle with vertices at negative 4 comma 4, 4 comma 4, and 4 comma negative 2
10 units
24 units
36 units
64 units
The perimeter of the triangle is 24 units.
What is a triangle?
Triangle is bounded area by three sides. If length of all sides is not equal, then the triangle is known as an obtuse triangle.
The vertices of the triangle are A(-4,4), B(4,4), and C(4,-2)
The formula distance between two points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²]
The length of line segment AB is √[(4 - (-4))² + (4 - 4)²] = √8² = 8 units
The length of line segment BC is √[(4 - 4)² + (-2 - 4)²] = √6² = 6 units
The length of line segment AC is √[(4 - (-4))² + (-2 - 4)²] = √[8² + 6²] = √100 = 10 units.
The perimeter of a triangle is sum of all sides of the triangle.
The perimeter of the triangle is
AB + BC + AC
= 8 + 6 + 10
= 24 units
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What are the vertex and range of y = |x − 5| + 4?
(5, 4); −∞ < y < ∞
(5, 4); 4 ≤ y < ∞
(−5, 4); −∞ < y < ∞
(−5, 4); 4 ≤ y < ∞
The vertex and the range of y = |x - 5| + 4 are (b) (5, 4); 4 ≤ y < ∞
How to determine the vertex and the range?The equation is given as
y = |x - 5| + 4
The above equation is an absolute value function
An absolute value function represented as
y = a|x - h| + k
Where
Vertex = (h, k)
This means that the vertex is
Vertex = (5, 4)
Remove the x value
y = 4
Because the leading coefficient is positive, then the vertex is a minimum
i.e.
y ≥ 4
So, the range is 4 ≤ y < ∞
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Answer: I think C
Step-by-step explanation:
The ratio of the number of girls to the number of boys was 2 to 5. If 2,450 students were present, how many were girls and how many were boys? (hint: try using a proportion to solve)
Girls =
Boys =
The number of boys were 1750 boys and the number of girls were 700 girls .
In the question ,
it is given that ,
the ratio of the number of girls to the number of boys is 2 : 5.
So , the number of boys is = 5x
and the number of girls is = 2x ,
also given that , the total number of students is = 2450
So , According to the question ,
5x + 2x = 2450
7x = 2450
Dividing both sides by 7 ,
we get ,
x = 2450/7
x = 350 ,
Hence , the number of girls = 2(350) = 700
and the number of boys is = 5(350) = 1750 .
Therefore , there are 700 girls and 1750 boys .
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