Answer:
12.8
Step-by-step explanation:
You can see that triangle DAF and BED are equal.
So lineAF is lineDE.
6.4*2=12.8.
almost every american adult has this thing
Answer: omm
but I need this so
Step-by-step explanation:
Consider the scatter plot, its line of best fit, and the corresponding residual plot of each data set. State whether a linear model is appropriate for the data and justify your answer.
Linear regression equation: y = 14.08x - 163.13, r = 0.9746
No, a linear model is not appropriate for the data because; the residual plot indicates that the residuals are far off the horizontal.
Is a linear model appropriate for the data given?It follows from the task content that it is required to determine if a linear model is appropriate for the given data.
By observation of the scatter plot and the line of best fit; it is evident that the residuals are large (meaning that actually values are far off the predicted values).
Conclusively, the residual plot is a confirmation of the inappropriateness of a linear model for the given data. This follows from the fact that the residuals are large as evident in the how far the residual plot points are to the horizontal.
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Help please help help please help help me
Answer:
103
Step-by-step explanation:
angle 1 and angle 5 are the same as each other.
Can anybody help me with this?
The Height of trees are equal after 4 years and the height is 54 inches.
What is linear equation?A linear equation is a equation which draws straight line on the plot
when plotted.
Given,
Height of tree A at the time of planting = 38 inches
Height of tree B at the time of planting = 22 inches
Each year tree A grow = 4 inches
Each year tree B grow = 8 inches
Let's make an equation for the height of the trees,
H = 38 +4t
H = 22+8t
Now the time when height of both the trees will equal
38 + 4t = 22 + 8t
4t = 16
t = 4
Hence , After 4 years the height of both the trees will equal and the height of both the trees after 4 years will be 54 inches.
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A cylindrical rod of steel (e = 207 gpa) having a yield strength of 310 mpa is to be subjected to a load of 11,100 n. If the length of the rod is 500 mm, what must be the diameter to allow an elongation of 0. 38 mm?.
the diameter to allow an elongation of 0. 38 mm therefore required diameter is 7.65 mm
Given the data in the question;
F = 11100 N
l₀ = 310 mm = 0.31 m
E = 207 GPa = 207 × 10⁹ N/m²
Δl = 0.38 mm = 0.0005 m
So, lets assume the deformation is elastic;
d₀ = √( [4l₀F] / [πEΔl] )
we substitute
d₀ = √( [4 × 0.38 × 11100] / [π × (207 × 10⁹) × 0.0005]] )
d₀ = √( 10123.2 / 172787595.947 )
d₀ = √( 5.85875 × 10⁻⁵ )
d₀ = 0.007654 m
d₀ = ( 0.007654 × 1000 )mm
d₀ = 7.65 mm
Therefore, required diameter is 7.65 mm
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Gianna can wash 6 cars in 2 hours. At this rate, how many cars can Gianna wash in 5 hours?
Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.
What is unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
According to the given question:
Gianna can wash 6 cars in 2 hours
Therefore, in 1 hour she can wash 6/2 cars which is 3 cars.
Gianna's rate of washing cars is 3 cars per hour
Hence by unitary method, Gianna at this rate can washes 5 x 3 cars that is 15 cars.
Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.
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Find the length of the segment connecting (-4, 3) and (-5,2). Provide
an answer accurate to the nearest tenth.
The length of the segment connecting (-4, 3) and (-5,2) is 1.4.
How to find length of segment?The length of a line segment can be measured by measuring the distance between its two endpoints.
Therefore, the length of the segment connecting (-4, 3) and (-5,2) can be found as follows:
length of the segment = √(2 - 3)² + (-5 + 4)²
length of the segment = √(-1)² + (-1)²
length of the segment = √1 + 1
length of the segment = √2
length of the segment = 1.41421356237
length of the segment = 1.4
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2 websites sell the same type of headphone cost of headphone in website A is 49.95 and the postage is 4.39. The headphones in website B is 47.68 and the postage is 6.95. Including the postage which website is cheaper and by how much
Answer:
Website A is cheaper by 29 cents
Step-by-step explanation:
A
49.95 + 4.39 = 54.34
B
47.68 + 6.95 = 54.63
54.63 - 54.34 = 0.29
Answer:
the difference is 0.29 cents
website A is cheaper
Step-by-step explanation:
(47.68 + 6.95) - (49.95 + 4.39)
54.63 - 54.34 = 0.29
REASONING 11. Can the value of o*g_{2}(- 4) * befounc ? What about the value of log ? Why or why not ? What does this tell you about the domain of log ?
In 1972, about 22 crushed beverage cans weighed one pound. In 2002, beverage cans were lighter and about 34 crushed beverage cans weighed one pound. Every minute of every day, an average of 113,204 beverage cans are recycled. A: About how many pounds of beverage cans are recycled in an hour?
B: About how many tons of beverage cans are recycled in an average day?
C: About how many kilograms of beverage cans are recycled in a day?
A) The number of pounds that the beverage cans are recycled in an hour is 119772 pounds
B) The number of tons that the beverage cans are recycled in an average day is 2397 ton
C) The number of Kilograms that the beverage cans are recycled in a day is 57528000 kg
What is a pound?The pound is the main unit of sterling, and the term "pound" is frequently used to refer to British currency in general, which is often qualified in foreign contexts as the British pound or the pound sterling.
In 2002 about 34 beverages can weigh one pound.
In one minute 113204 beverage cans are recycled.
In one hour, 60 minutes number of beverage cans recycled=113204×60
=6792240
34 beverage cans weight 1 pound
1 beverage cans weight=1/34 pounds
A) 6792240 beverage can weigh=1
=(1/34)(6792240) pound
=119771.765 pound
≈119772 pound
B) So, In 24 hours, no. of pounds recycled
=119772×24 pound
=119772×24×0.0005 ton
=2397.26 ton
≅2397 ton in one day.
C) So, In 24 hours, no. of tons recycled
=2397×24 ton
=2397×24×1000 kg
=57528000 kg
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Here is the histogram of a data distribution. All class widths are 1. Which of the following numbers is closest to the mean of this distribution?
A. 5
B. 2
C. 3
D. 4
E. 10
On solving the given problem, The value of the median of the distribution is closest to 5.
The median is what?In order to visualize data, a histogram is used. The width and area of each rectangle in the histogram are proportional to the class interval and data frequency, respectively.
When a dataset is sorted in either ascending or descending order, the median is the value that appears in the middle of the dataset.
Ascending numbers are listed in the following order:
2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9
Median is - 5
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Convert 460000 milligrams into pounds. Round your answer to the nearest hundredth.
Answer:
460000 milligrams converted to pounds would be 1.01 pounds.
Step-by-step explanation:
A box of cereal states that there are 99 calories in a
3/4 cup serving. What is the unit rate for calories per cup? How many calories are there in 4 cups of the cereal?
The number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a box of cereal states that there are 99 calories in a 3/4 cup serving.
The number of calories per cup is calculated as,
3 / 4 cup = 99 calories'
1 cup = 99 x (4 / 3 )
1 cup = 132 calories
The number of calories for 4 cups of cereal,
1 cup = 132 calories
4 cup = 132 x 4 calories
4 cup = 528 calories
Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.
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The length of a
rectangular garden is
three feet less than twice
its width. If the perimeter
of the garden is 42 feet,
what is its length?
Systems word problems
Answer:
The length will be 13 feet.
Step-by-step explanation:
Let the width be represented by w.
Based on the information given, the length will be:
= (2 × w) - 3
= 2w - 3
Therefore, the perimeter will be:
2(w) + 2(2w - 3) = 42
2w + 4w - 6 = 42
6w = 42 + 6
6w = 48
w = 48/6
w = 8
Therefore, the length will be:
L = 2w - 3
L = 2(8) - 3
L = 16 - 3
L = 13 feet
The length is 13 feet.
Answer:
The length will be 13 feet.
Step-by-step explanation:
Let the width be represented by w.
Based on the information given, the length will be:
= (2 × w) - 3
= 2w - 3
Therefore, the perimeter will be:
2(w) + 2(2w - 3) = 42
2w + 4w - 6 = 42
6w = 42 + 6
6w = 48
w = 48/6
w = 8
Therefore, the length will be:
L = 2w - 3
L = 2(8) - 3
L = 16 - 3
L = 13 feet
The length is 13 feet.
Line d passes through points (6, 9) and (2, 4). Line e passes through points (5, 3) and
(10, 7). Are line d and line e parallel or perpendicular?
PLEASE HELP ASAP, WILL GIVE 10 POINTS, BRAINELST, 5 STAR, AND RATING!
Answer:
Neither
Step-by-step explanation:
Line d:
m = 4-9/2-6 = -5/-4 = 5/4
Line e:
m = 7-3/10-5 = 4/5
It would be neither because if it was perpendicular, one of the slopes' would have to be negative.
find an equation in standard form for the ellipse with the vertical major axis of length 6 and minor axis of length 4. (2 points)
Standard form of ellipse has equation [tex]\frac{y^2}{a^2} +\frac{x^2}{b^2} =1[/tex] where, a and b are the halves of the length of major and minor axis respectively.
Given that,
Length of major axis(2a)=6.
So
a=6/2
=3
Length of minor axis(2b)=4.
So
b=4/2
=2
Putting in equation of standard ellipse. We get
[tex]\frac{y^2}{3^2} +\frac{x^2}{2^2} =1[/tex]
After simplifying
4y² + 9x² = 36
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Make your angle measures correct to the nearest degree and side measures to 1 decimal place.
The value of angle Z= 39°, line XY= 21.9 and line XZ= 34.7
What is a right-angled triangle?A right-angled triangle is a type of triangle which as one of it's sides equal to 90°. Since angle Y is 90°, then ∆ABC is a right-angled triangle
angle Z = 180-(90+51)
angle Z= 180- 141= 39°
using trigonometry ratio
tan51 = 27/XY
XY= 27/tan51
XY= 27/1.2
XY= 21.9
using Pythagoras theorem
XZ²= 21.9²+27²
XZ²= 1208.6
XZ= √1208.6
XZ= 34.7
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40 PIONTS FOR ANSWERING 2 Q'S, I WILL PICK BRIANLISET
my equation for Q 7: C=2.7m+1.95
8. For the Raleigh company write an equation in point-slope form to represent the amount charged, C, for m number of miles for the company in Raleigh, NC.
9. Write an equation in standard form to represent the amount charged, C, for m number of miles for the company in Raleigh.
Answer:
8.m = ∞
9.[tex]m=\frac{20c-39}{54}[/tex]
Step-by-step explanation:
8.The equation is a vertical line, so the slope is ∞
so the answer for 8. is m = ∞
9.Switch sides:
2.7m + 1.95 = c
Multiply both sides by 100:
2.7m · 100 + 1.95 · 100 = c · 100
Refine:
270m + 195 = c · 100
Move 195 to the right side so it would be: 270m = c · 100 - 195
And now Divide both sides by 270
[tex]\frac{270m}{270}[/tex] = [tex]\frac{c*100}{270}[/tex] - [tex]\frac{195}{270}[/tex]
And now all that's left is to Simplify it
so the answer for answer 9. is [tex]m=\frac{20c-39}{54}[/tex]
Segment BD bisects angle ABC measure angle ABC equals 7x. The measure angle ABD equals 3x+25. Find the measurement of angle DBC
The measurement of angle DBC is 100°. It can be obtained by the properties of bisector of an angle and algebriac multiplication.
What is angle bisector?
An angle bisector is the ray or line segment that divides the angle into two equal parts.
Since the segment BD bisects angle ABC hence,
∠ABC = ∠ABD+∠DBC ..... (1)
Also, since segment BD bisects angle ABC hence,
∠ABD = ∠DBC
Use this fact in equation (1)
∠ABC = ∠ABD+∠ABD
∠ABC =2 ∠ABD
Now, substitute values and use algebriac multiplication.
7x = 2(3x+25)
7x = 6x+50
7x - 6x= 50
x=50
Now, substitute the value of x in the expression of ∠ABD.
∠ABD = 3x+25
∠ABD = 3(50)+25
∠ABD = 100
Now, since ∠ABD = ∠DBC hence, ∠DBC = 100.
Hence, the measurement of angle DBC is 100°.
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A shopping mall has 226 stores on 4 levels. Each level of the mall has about the same number of stores. Which of the following are reasonable estimates for the number of stores on each level
The number of stores in each level of the shopping mall are 56 stores.
How to solve an equation?An equation is an expression that can be used to show the relationship between variables and numbers. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
Let x represent the number of stores on each level.
A shopping mall has 226 stores on 4 levels. If there are same number of stores in each level:
(4 × x) = 226
4x = 226
Divide
x = 226 / 4
x = 56.5
There are about 56 stores per level.
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Four more than twice the sum of a number and three is negative 5
Answer: It is A
Step-by-step explanation:
5 divided by 19 vvchgdvbdvvvdbbxbvxvvdhhsjjshhhdbhshhhdhhshshhshdggdhshgdgfduhf
Write an inequality that could be used to represent all solutions for x: the quotient of a number and three minus twelve is less than 12
We can write the given statement as inequality as -
-(x/9) < 12
What is linear inequality? What is the law of Reversal and law of Trichotomy? What is the general equation of a Straight line?Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols.
y > mx + cy < mx + cy ≥ mx + cy ≤ mx + cReversal property : If (a > b) then (b < a) and if (a < b) then (b > a).
Law of Trichotomy : The "Law of Trichotomy" says that - only one of the following is true : (a < b) or (a = b) or (a > b).
The general equation of a straight line is y = mx + c
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the following statement -
"the quotient of a number and three minus twelve is less than 12".
We can write the inequality as -
-(x/9) < 12
Therefore, we can write the given statement as inequality as -
-(x/9) < 12
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Give a number in the form of a/b o that when it i divided by 100, the reult would be 0. 014 (write in fraction in reduce form)
The reduced form of the fraction would be 2.8/2.
What is a fraction?
A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.
Given that a/b is a fraction and when it is divided by 100 it will result in 0.014.
So we can write,
[tex]\frac{\frac{a}{b} }{100}=0.014\\\\ \frac{a}{b}=0.014*100\\\\\frac{a}{b}=1.4\\[/tex]
Now 1.4 can be written as
a/b = 2.8/2
Hence, the reduced form of the fraction would be 2.8/2.
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a football team lost the same number of yards on each of three consecutive plays what is the total change in yards from where the team started
Answer:
-3x, where x is the number of yards lost on the first play.
Step-by-step explanation:
A safe-breaker is attempting to crack a safe with a 7-combination code. So far they have worked out that: the first digit is double the third digit the code is a palindrome (it reads the same if it is reversed) the fourth number is 7 the third number is one less than the sixth number the second number is 3 less than the fourth number.
The correct 7 digit combination safe-breaker code which is a palindrome is given by 6437346.
What is a Palindrome?A palindrome is a number that reads the same both forward and backward in mathematics. Examples of palindromes include 353, 787, and 2332.
The following straightforward procedure may be used to find other palindromes given any set of integers.
Start with any number in step one. Identify it as original number. Reverse the original number's digits.
Call the number whose numbers have been reversed in step two. The new number should be added to your original one.
Call the number discovered by combination of the new number with the test number.
Step 3: You're finished if the test number is a palindrome. If the test number is incorrect, use your original number instead and complete the previous procedures using your test number.
How to solve?
Let the seven-digit code be given by abcdefg. As it is palindrome therefore, a=g, b=f, c=e, and d=d. Also, first digit is double than third digit that is a=2c.
As per the question d=7, c=f-1 and,
b=7-3 = 4.
Since the number is palindrome so b=f. Therefore f=4.
Now, c=f-1 => c = 4-1 = 3, and c = e = 3.
Also, a=2c => a=6.
Thus, the numbers are a=6, b=4, c=3, d=7, e=3, f=4, g=6 and the combination is 6437346.
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In the figure below, points D, B, E, F, and lie in plane X.
Points A and C do not lie in plane X.
For each part below, fill in the blanks to write a true statement.
The blanks are filled as below
(b) G and E are distinct points that are collinear.(c) F, D, B, and G are distinct points that are coplanar.(d) Suppose line AD is drawn on the figure. Then AD and AC are distinct lines that intersect.What are collinear points?Collinear points are those that are situated along a single straight line.
Collinear points are those that are on a line either close to or far from another point, it can be more than two points.
While coplanar points imply lying on the same plane
In the diagram,
E, F, and G are collinear points
D, B, E, F, and G are coplanar points
A, B, and C are another collinear points
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If you roll a standard six-sided die a thousand times and add up the total number of pips, which approximate sum could you reasonably expect to end with?
1) 16.7% probability of rolling 10+.
2) 50% probability an odd number is rolled.
3) 7 is the most likely total result.
These are all the possible outcomes:
(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)
(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)
(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)
(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)
(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)
(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)
There are 36 possible outcomes
1) what is the probability of rolling 10+?
There are 6 possible outcomes in which 10+ is rolled:
(4,6), (5,5),(5,6), (6,4), (6,5),(6,6).
So there is a 6/36 = 0.167 = 16.7% probability of rolling 10+.
2) what is the probability of rolling an odd number?
There are 18 possible outcomes in which an odd number is rolled.
So there is a 18/36 = 0.5 = 50% probability an odd number is rolled.
3) what is the total that is most likely to result?
There are 6 outcomes in which 7 is rolled.
So 7 is the most likely total result.
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Find the length of the third side. If necessary, write in simplest radical form.
Legs- 9 and 7
Hypotenuse-?
Answer:
√130
Step-by-step explanation:
|
? | 7
|
---------------------------
9
a² + b² = c²
7² + 9² = c²
49 + 81 = c²
130 = c²
√130 = √c²
√130 = c
I hope this helps!
2(x-4 1/2)=-6.1 hellllllppppp meeeee
Answer:
[tex]x=1.45[/tex]
Step-by-step explanation:
[tex]2\left(x-4 \frac{1}{2} \right)=-6.1 \\ \\ 2\left(x-\frac{9}{2} \right)=-6.1 \\ \\ 2x-9=-6.1 \\ \\ 2x=2.9 \\ \\ x=1.45[/tex]