The formula for d is d = v/√48
What is a formula?
In science, a formula is a compact manner of symbolically describing information, such as a mathematical formula or a chemical formula. In physics, the phrase formula refers to the general construct of a connection between given quantities. In mathematics, a formula is an identity that equates one mathematical statement to another, the most significant of which are mathematical theorems. A formula (also known as a well-formed formula) is a logical object that is produced utilizing the symbols and formation rules of a specific logical language. For example, calculating the volume of a sphere necessitates extensive use of integral calculus or its geometrical equivalent, the method of exhaustion.
The equation is given as v= √48d
Hence, the formula for d is, d = v/√48
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There are s students in the art club. Each member painted 4 pictures for the art show. Write an expression that shows the number of pictures painted.
The table shows the fat content and calories for the burgers at a fast food chain. Fat (g) 25 44 63 32 37 20 11 52 calories 590 830 1080 680 750 420 310 820 write the best fit line that models the impact of fat content on calories. Explain how you got your answer.
The best line of fit which models the given data can be obtained using a linear regression calculator is y = 12.63x + 274.21
Using a linear regression calculator or excel, the linear regression model obtained by fitting the data is :
y = 12.63x + 274.21
y = Predicted variable
x = predictor variable
Slope = 12.63
Intercept = 274.21
Therefore, the best line of fit is y = 12.63x + 274.21
what is the best fit?
A straight line that minimizes the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.
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Find the unit rate. 84 seats in 3 rows = seats per row
Whats the value of x?
5X-2(2X-1)=6
Answer: x = 4
Step-by-step explanation:
Let's first look at the equation!
5x-2(2x-1)=6
First thing you do is the -2(2x-1) to break the ( )
So, -2*2x = -4x and -2*-1 = 2
So now we have 5x-4x+2=6
Then you see that there are 2 like terms?
Like terms: the terms that contain the same variable which is raised to the same power.
You can do 5x-4x = 1x!
Now we have 1x+2=
Now we do -2 to get rid of the 2!
We will get 1x=4
Now we divide!
1x divided by 1 giving you x!
and 4 divided by 1 giving you
x = 4!
Paula is saving money to buy some records that will total $98. She has $23 so far, and she can save $5 per week. In how many weeks will she have enough money to buy the records?
Select an equation that could be used to answer the question above. Let w represent the number of weeks.
Group of answer choices
5 w minus 98 equals 23
98 w minus 5 equals 23
5 w plus 23 equals 98
23 w plus 5 equals 98
Explain pls
Answer: 5w plus 23 equals 98
Step-by-step explanation:
This answer is more reasonable because Paula already has $23 and she can save $5 per week. She only needs 75 dollars more to get the records. So it will take her 17 weeks to get $75.
What does negative 3 over 5 > −2 indicate about the positions of negative 3 over 5 and −2 on the number line? (1 point)
negative 3 over 5 is located on the right of −2
negative 3 over 5 is located on the left of −2
negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0
negative 3 over 5 is located on the left of 0 and −2 is located on the right of 0
[tex]\frac{-3}{5} > -2[/tex] indicates that -3/5 is located on the right of -2 on the number line.
What is number line?
A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.
consider, [tex]\frac{-3}{5} > -2[/tex]
Here, -3/5 = -0.6
-0.6 > -2
-0.6 is the number greater than -2.
So, -3/5 is located on the right side of -2.
Hence, -3/5 is located on the right of -2 on the number line.
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Mary drove 871 miles in 13 hours.
At the same rate, how many miles would she drive in 7 hours?
Answer:
469
Step-by-step explanation:
871/13 =67
67 x 7 = 469
7.5 2. debt payments of $700 in two months and $800 in five months are scheduled to be due. if interest at 8.3% is allowed, what single payment today is required to settle the two scheduled payments?
7.5 2. debt payments of $700 in two months and $800 in five months are scheduled to be due. If interest at 8.3% is allowed, what single payment today is required to settle the two scheduled payments.
Single payment today is required to settle the two scheduled payment is $1,948.2.
Given Payments of two months = $700
Payments in five months = $800
Interest rate = 8.3%
To find : Single payments of two scheduled payments
Solution:
Interest for 1 month for $700
= $700 x 8.3%
= 58.1
Thus, for two months
Interest = 2 x $58.1 = $116.2
Now interest for 1 month for $800
= $800 x 8.3%
= $66.4
Thus, for five months
Interest = 5 x $66.4
= $332
Now total Payments:
= ($700 + $116.2) + ($800 + $332)
= $1,948.2
Hence, single payment today is required to settle the two scheduled payment is $1,948.2.
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The stones used to build the great pyramid were limestone blocks with an average volume of 1. 5 cubic yards. Assuming a solid pyramid, how many of these blocks were needed to construct the great pyramid?.
It would require 2257920 blocks to construct the great pyramid.
Given,
Side of base of pyramid = 756 ft = [tex]\frac{756}{3}[/tex] = 252 yard
height of pyramid = 480 ft = [tex]\frac{480}{3}[/tex] = 160 yard
volume of 1 block which is used to construct pyramid = 1.5 cubic yard
Volume of pyramid can be determined by formula,
[tex]Volume\ of\ pyramid\ =\ \frac{1}{3}*area\ of\ base*height[/tex]
At first,
area of base=side x side = 252x252= 63504 square yard
now,
[tex]Volume\ of\ pyramid\ =\ \frac{1}{3}*area\ of\ base*height\\\\Volume\ of\ pyramid\ = \frac{1}{3}*63504*160\\\\Volume\ of\ pyramid\ = \frac{1}{3}*10160640\\\\Volume\ of\ pyramid\ = 3386880\ cubic\ yard[/tex]
Now, the number of blocks required to construct the pyramid will be,
[tex]Number of blocks =\frac{3386880}{1.5}=2257920[/tex]
Thus, the number of blocks required to construct the great pyramid is 2257920.
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Your question is incomplete, please complete the question
write a numerical expression for the difference of 12 and 9
Answer:
12-9
Step-by-step explanation:
what is the probability that if 4 letters are typed, no letters are repeated? write your answer in decimal form, rounded to the nearest thousandth. the probability that no letters are repeated is .
The probability of typing four letters with no repeated letters is 0.785.
What is probability?Probability is the possibility of happening an event.
Given that, the four letters are typed.
Note that there are a total of 26 letters.
Therefore, the probability of typing four letters with no letters repeated is:
(26/26) × (25/26) × (24/26) × (23/26)
= 358800/456976
= 0.785
Hence, the probability of typing four letters with no repeated letters is 0.785.
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there are 20 tennis balls in a box, of which 10 have not previously been used. one ball is randomly chosen, played with and then returned to the box. later, 4 balls are randomly chosen from the box. find the probability that none of balls selected in the second draw has ever been used.
The required probability will 4/9 that is probability that none of balls selected in the second draw has ever been used.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. By dividing the number of favorable outcomes by the total number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are only two outcomes when you flip a coin: either it comes up heads or tails.
Here,
10 balls are never used.
One was used in previous draw.
So, the balls remaining=10-1
=9 balls
Now, 4 balls out of 9 balls will be selected.
The necessary probability is 4/9, which represents the likelihood that none of the balls chosen in the second draw have ever been used.
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externally tangent circles with centers at points a and b have radii of lengths 55 and 33, respectively. a line externally tangent to both circles intersects ray abab at point cc. what is bcbc?
When a line that is externally tangent to both circles intersects ray AB at point C, the value of BC is 12.
What is meant by tangent circle?A tangent line to a circle in Euclidean plane geometry is a line that touches the circle at exactly one point while never entering the circle's interior. Tangent lines to circles are the topic of various theorems and are used in several geometrical constructions and proofs.
A tangent to a circle is a straight line that touches the circle just once. This is referred to as the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.
Let D and E be the tangent points of circles A and B with line CD, AB=8.
Also, set BC to x.
Because ADC and BEC are at right angles,
At the point of tangency, the radius is perpendicular to a tangent line, and both triangles share ACD, ADCBEC.
We can calculate the proportion from this.
BC/AC=BE/AD
x/(x+8)=3/5
5x=3x+24
2x=24
x=12
As a result, the value of BC=12
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"Externally tangent circles with centers at points A and B have radii of lengths 5 and 3, respectively. A line externally tangent to both circles intersects ray AB at point C. What is BC?"
Please help!!!!!!!!!!!!!
LOGIC Choose two ways you can show that is <1 is congruent to <7
Answer:
The second and the fifth answers are correct.
Step-by-step explanation:
Please helpp 45 points
Solve the equation. 15=5x+10
Answer:
x = 1
5 x 1 = 5 + 10 = 15
Step-by-step explanation:
Answer: X= 1
Step-by-step explanation: you would do 15 - 10 = 5
then you would do 5x times 5 which would equal 25
Write the inequality that shows the values of x for which the expression is defined
√x-2•√x+3
the inequality that shows the values of x for which the expression is defined √x-2•√x+3 is √x-2≤4 and √x+3≤-9
What is inequality ?Equations are not always balanced on both sides, using an "equal to" symbol in mathematics.Sometimes it can be about a "not equal to" relationship, meaning that something is superior to or inferior to another.In mathematics, an inequality is a relationship between two numbers or other mathematical expressions that results in an unequal comparison.Inequalities are the name given to certain algebraic mathematical expressions.The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.p ≠ q means that p is not equal to q
p < q means that p is less than q
p > q means that p is greater than q
p ≤ q means that p is less than or equal to q
p ≥ q means that p is greater than or equal to q
Therefore, √x-2≤4 and √x+3≤-9
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Which ordered pairs are in the solution set of the system of linear inequalities? y > negative one-halfx y < one-halfx 1
Ordered pairs are in the solution set of the system of linear inequalities are as follows
> Negative one-halfx
y < One-halfx + 1
On a coordinate plane, the 2 straight lines are shown.
The first solid line has a negative slope and goes through (0, 0) and (4, -2).
Everything above the line is shaded. The second dashed line has a positive slope and goes through (-2, 0) and (2, 2).
Hence, everything below the line is shaded.
(5, –2), (3, 1), (–4, 2)
(5, –2), (3, –1), (4, –3)
(5, –2), (3, 1), (4, 2)
(5, –2), (–3, 1), (4, 2)
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13. Determine whether the figure has line, point, and/or rotational symmetry. Check all that
apply. (1 point)
Line
Point
Rotational
None
The types of symmetry that this geometric figure has include the following:
PointRotationalWhat is a rotational symmetry?In Mathematics, rotational symmetry is sometimes referred to as radial symmetry and it can be defined as the property that a geometric figure (shape) has when it looks the same as the original figure, after some rotation on its own axis by an angle between 0° and 360°.
What is a point symmetry?In Geometry, a point symmetry can be defined as a type of symmetry in which a geometrical figure (shape) is divided into two (2) equal and symmetrical parts by a central point.
In this context, we can reasonably and logically deduce that this geometrical figure (shape) has both a point symmetry and rotational symmetry.
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Which of the following halogens is darkest in colour?
Select one:
a. l
b. Br₂
c. F2₂
d. Cl₂
Answer:
D. Cl₂
Step-by-step explanation:
If each of them had an average daily balance of $800 for a specific month and had to pay a finance charge, how much more would oscar pay than felix?.
The difference in the payments of Oscar and Felix is given as follows:
$56.
What are the payments for each?The payment for each of Oscar and Felix is obtained applying proportions, with the multiplication of the finance charge by each of the rates.
As stated in the problem, the balance is of:
800.
Felix rate is of:
14%.
Hence the finance charge for Felix is of:
0.14 x 800 = 112.
Oscar rate is of:
21%.
Hence the finance charge of Oscar is of:
0.21 x 800 = 168.
Then the difference in the payments will be of:
168 - 112 = $56.
Missing InformationFelix and Oscar applied for the same credit card from the same bank. The bank checked both of their FICO scores. Felix had an excellent credit rating, and Oscar had a poor credit rating.
The rates are given as follows:
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Shaquana and her children went into a movie theater and she bought $53 worth of candies and pretzels. Each candy costs $5 and each pretzel costs $3. She bought a total of 13 candies and pretzels altogether. Determine the number of candies and the number of pretzels that Shaquana bought.
The number of candies is 7,and the number of pretzels is 6 that Shaquana bought.
Given:
Shaquana and her children went into a movie theater and she bought $53 worth of candies and pretzels.
Each candy costs $5 and each pretzel costs $3. She bought a total of 13 candies and pretzels altogether.
Let x be the number of candies and y be the number of pretzels.
x + y = 13
x = 13 - y
5x + 3y = 53
susbstitute x value, we get
5(13 - y) + 3y = 53
-5y + 65 + 3y = 53
-2y = 53 - 65
-2y = -12
divide by -2 on both sides
y = -12/-2
y = 6 pretzels
x = 13 - y
= 13 - 6
= 7 candies .
Therefore the number of candies is 7,and the number of pretzels is 6 that Shaquana bought.
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Suppose f (x) = 2 x minus 1 and g (x) = startfraction x 1 over a endfraction. which value(s) of a would make the composite functions commutative? 0 2 any value of a no value of a
The value of a should be 2 for the function to be composite.
What is composite function?
When two functions, f and g, are combined to create a third function, h, the result is such that h(x) = g(f(x)).
Main Body:
A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is
f(g(x)) = g(f(x)) = x
So, 2([tex]\frac{x+1}{a}[/tex]) - 1 = [tex]\frac{(2x-1)+1}{a}[/tex]
If you multiply both sides by a, you get 2a([tex]\frac{x+1}{a}[/tex]) - a = (2x-1)+1
Simplify it 2a([tex]\frac{x+1}{a}[/tex]) - a = 2x
Add a to both sides 2a([tex]\frac{x+1}{a}[/tex]) = 2x +a
The two as on the left cancel out 2(x+1)=2x+a
Distribute the 2: 2x+2=2x+a
Then subtract 2x from both sides 2 = a
Therefore, a = 2
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Answer:
B. 2
Step-by-step explanation:
Right on Edge
Evaluate the following numerical expression: (15 ÷ 3)2 + 9 ÷ 3
Answer: 13
Step-by-step explanation:
A new automobile company plans to manufacture nine cars every month it will first fill an overseas order for 10 cars and then send the rest of showrooms in New York
Answer: 20 cars and then send the rest of showrooms iin New York
Step-by-step explanation:
The area of a playground measures 375 square yards. If the length of the playground is 15 yards, what is its width in yards?
Write a 2-column proof, without using the Angle Bisector Theorem, proving KL ≅ JK in the image below.
Answer:
see below
Step-by-step explanation:We need to prove that KL ≅ JK .
Given :-
Two right angled triangles ∆JKM and ∆LKM.To prove:-
KL ≅ JKProof:-
In ∆JKM and ∆LKM ,
ang. KJM = ang. KLM = 90° (given )ang. LMK = ang. LMK KM = KM ( common )Therefore by AAS congruence condition , ∆JKM ≅ ∆LKM .
Therefore,
KL ≅ JK ( by cpct)Hence proved !
.
There are 40 boys and 25 girls in 6th grade. Caitlin says that means the ratio of the number of
boys in 6th grade to the number of girls in 6th grade is 4:5.
Is Caitlin correct? If not, what is the correct ratio?
Correct Ratio
8:5
5:4
5:8
Answer:
Step-by-step explanation:
This table gives a few (x,y) pairs of a line in the coordinate plane.
x y
32 22
48 17
64 12
What is the y-intercept of the line?
The y-intercept of the coordinate plane is y = -5/16x+32
To find the equation or y-intercept, we fist need to find the slope of the equation.
The intercept form of the equation is given by
y-y1 = m(x-x1)
The slope can be find as
m = (y2-y1)/(x2-x1)
Let us consider two points as
x1 = 32, y1 = 22
x2 = 48. y2 = 17
Substitute the values to get the slope
m = (17-22)/(48-32) = -5/16
Now substitute the values to find y-intercept
(y-22) = -5/16(x-32)
⇒ y-22 = -5/16x+10
⇒ y = -5/16x+10+22
⇒ y = -5/16x+32
Hence, y intercept of the given points are y = -5/16x+32
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