Answer:
Scatter plots are used to plot data points on a horizontal and a vertical axis in the attempt to show how much one variable is affected by another. Each row in the data table is represented by a marker whose position depends on its values in the columns set on the X and Y axes
Step-by-step explanation:
A car with 15 gallons of gasoline drives 420 miles until the tank is empty. Write a linear equation that describes the amount of gas left in the car, y, after driving x miles.
Answer:
[tex] y = -\dfrac{1}{28}x + 15 [/tex]
Step-by-step explanation:
The car uses 15 gallons of gasoline to drive 420 miles.
(15 gal)/(420 mi) = 1/28 gal/mi
The car uses 1/28 gallon of gasoline per mile.
y = mx + b
When x = 0, at the start of the drive, the car has 15 gallons of gasoline.
y = mx + 15
Then for every mile it travels, the amount of gasoline goes down by 1/28 gal. For x miles of travel, it uses 1/28 * x gallons of gasoline.
[tex] y = -\dfrac{1}{28}x + 15 [/tex]
What is the measure of angle 1 in the diagram below?*
D
18°
A
B
120°
E
Answer:
123
Step-by-step explanation:
if 4 sec a _ 5 = 0, evaluate 2 cos a + 5 sin a ÷ 2 sin a + 5 cos a
Answer:
23/26 = 0.8846=0.88 [ to the nearest hundredth]
Step-by-step explanation:
4 sec a-5 = 0; seca=1/cos a
Therefore;
4 sec a-5 = 0=>4/cos a - 5 = 0
Multiplying through by cos a, we have;
4-5cosa= 0=>4= 5cosa
4/5 = cosa
a = cos^{-1}0.8
=36.88
Alternatively Cos a =4/5
Sina = 3/5; {note Cos a = adjacent / hypothesis and from Pythagoras rule we can derive the value of the opposite side which is;
5^2 -4^2 = 25-16 = 9; hence the opposite side is √9 = 3;sin a = opposite/ hypothenus = 3/5}
Substituting the value of Cosa and Sina into the expression below;
2 cos a + 5 sin a ÷ 2 sin a + 5 cos a
We have ;
[2×4/5 + 5× 3/5 ]/ [2 × 3/5 + 5× 4/5]
[8/5 + 15/5 ]/ [6/5 + 20/5]
[23/5]/[26/5] = 23/5 × 5/26 = 23/26
=
What is the scale factor of the dilation?
1/8.... 1/4..... 4.... 8...?
Answer:
4
Step-by-step explanation:
When parallelogram FGHJ is dilated and translated to similar parallelogram F'G'H'J', the scale factor of dilation is 4.
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.
As visible,
FG = GH = JH = FJ = 2 units
F'G' = G'H' = J'H' = F'J' = 8 units
Scale factor of Dilation = 8/2 = 4 units
Learn more about dilation here
https://brainly.com/question/13176891
#SPJ2
If the angles are represented in degrees, find both angles: \cos(3x+13)=\sin(2x+42) cos(3x+13)=sin(2x+42)
Answer:
cos34°
sin56°
Step-by-step explanation:
Sin(2x+42)= sin90-(3x+13)
Sin(2x+42) = sin(90-13-3x)
Sin(2x+42) = sin(77-3x)
2x + 42 = 77-3x
5x. = 35
X = 7
If x = 7
cos(3x+13) = cos((3*7)+13)
cos(3x+13) = cos(21+13)
cos(3x+13)= cos34
And
sin(2x+42) = sin((2*7)+42)
sin(2x+42)= sin (14+42)
sin(2x+42) = sin56
WILL GIVE BRAINLIST.Which of the following multiplication expressions can be modeled by the tiles shown?Check all that apply 8(3)=24 6(4)=24 (3)(12)=36 24(3)=72 3(8)=24 2(12)=24
Answer:
8(3)=24
3(8) =24
Step-by-step explanation:
Step-by-step explanation:
i want brainliest please
Answer:
8 sets of 3 positive tiles.
Which of the following multiplication expressions can be modeled by the tiles shown? Check all that apply.
yes 8(3) = 24
no 6(4) = 24
no (3)(12) = 36
no 24(3) = 72
yes 3(8) = 24
no 2(12) = 24
yah welcome
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters, and a standard deviation of 7. If a random sample of 39 steel bolts is selected, what is the probability that the sample mean would be greater than 141.4 millimeters
Answer:
Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.
Step-by-step explanation:
We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.
A random sample of 39 steel bolts is selected.
Let [tex]\bar X[/tex] = sample mean diameter
The z score probability distribution for sample mean is given by;
Z = [tex]\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean diameter = 141 millimetres
[tex]\sigma[/tex] = standard deviation = 7 millimetres
n = sample of steel bolts = 39
Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P([tex]\bar X[/tex] > 141.4 millimetres)
P([tex]\bar X[/tex] > 141.4) = P( [tex]\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }[/tex] > [tex]\frac{141.4-141}{\frac{7}{\sqrt{39} } } }[/tex] ) = P(Z > 0.36) = 1 - P(Z [tex]\leq[/tex] 0.36)
= 1 - 0.6406 = 0.3594
The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.
The number of houses being built each year is modeled by the growth equation, H(=350 20.12. How long will it take for the
number of new houses to reach 70,000? Round to the nearest whole number.
Answer:
H(24) = 70,000
Step-by-step explanation:
If the growth equation is
H(35020) = 12
Then we are told to find H(70,000)
35020 = 12
70,000 = x
35020x = 12 × 70,000
x = 12 × 70,000/35020
= 23.99
≈ 24.
H(24) = 70,000
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's in-state and out-of-state applicants. A random sample of 17 in-state applicants results in a SAT scoring mean of 1046 with a standard deviation of 37. A random sample of 10 out-of-state applicants results in a SAT scoring mean of 1118 with a standard deviation of 50. Using this data, find the 90% confidence interval for the true mean difference between the scoring mean for in-state applicants and out-of-state applicants. Assume that the population variances are not equal and that the two populations are normally distributed. Step 2 of 3 : Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
Answer:
Step-by-step explanation:
The formula for determining the confidence interval for the difference of two population means is expressed as
Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
Where
x1 = sample mean score of in-state applicants
x2 = sample mean score of out -of-state applicants
s1 = sample standard deviation for in-state applicants
s2 = sample standard deviation for out-of-state applicants
n1 = number of in-state applicants
n1 = number of out-of-state applicants
For a 90% confidence interval, we would determine the z score from the t distribution table because the number of samples are small
Degree of freedom =
(n1 - 1) + (n2 - 1) = (17 - 1) + (10 - 1) = 25
z = 1.708
x1 - x2 = 1046 - 1118 = - 72
Margin of error = z√(s1²/n1 + s2²/n2) = 1.708√(37²/17 + 50²/10) = 31.052239
Confidence interval is - 72 ± 31.052239
Solve the equation.
6.35 + b = 9.89
Answer:
b=3.54
Step-by-step explanation:
9.89-6.35=3.54
Answer: b=3.54
Step-by-step explanation:
Subtract 6.35 from both sides and you will get that b=9.89-6.35 solve that and you will get that b= 3.54.
Based on the family the graph below belongs to, which equation could represent the graph? image below.
Answer:
y = 1/x+2 + 3
Step-by-step explanation:
x = -2
y = 3
2
Select the correct answer.
Some persuasive texts rely on common but faulty forms of reasoning. Which term refers to these faulty ways of reasoning?
ОА.
emotional appeals
OB. blased arguments
OC. rhetorical techniques
OD. logical fallacles
O E
endorsements
Reset
Next
Answer:
D. Logical Fallacies
Step-by-step explanation:
Let's break this down:
fallacy: A false or mistaken idea.
By this definition, we can see that "false" would go with the word "faulty". A logical Fallacy is is a false or mistaken idea that's intended to sound logical. I hope this helps you!!
Express the following number in scientific notation. 46,000,000 = _____ 4.6000 x 10 7 4.6 x 10 7 4.600 x 10 7 0.460 x 10 6
Answer:
4.6 x 10^7
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A farmer plants corn in of his field. He plants white corn in of the corn
section of his field. This situation is shown in the model. What fraction of the
whole field is planted with white corn?
Answer:
3/20
Question:
A farmer plants corn in 1/4 of his field. He plants white corn in 3/5 of the corn
section of his field. This situation is shown in the model. What fraction of the whole field is planted with white corn
Step-by-step explanation:
Portion of the field planted with corn = 1/4
Total corn planted = 1/4 of field
Portion of the corn section planted with white corn = 3/5
Total white corn planted = 3/5 of corn section
We need to find the portion of the total field planted with white corn
The fraction of the whole field planted with white corn would be the product of the fraction of Total corn planted and fraction of Total white corn planted
= 1/4 × 3/5
= 3/20
The fraction of the whole field planted with white corn = 3/20
Evaluate: 2a + 4b when a = 10 & b = 6
A: 20
B: 4
C: 44
D:24
Answer: Option C: 44
Step-by-step explanation:
so, here we have the equation:
H(a,b) = 2a + 4b
"evaluate" means change the values of the variables for specific values, here we must replace the "a" for 10, and the "b" for a 6.
So we have:
H(10, 6) = 2*10 + 4*6 = 20 + 24 = 44
Which is the graph of y = ⌊x⌋ – 2? On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 5, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 4) to (5, 4). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 5, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 4) to (5, 4). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 3, negative 5) to (negative 2, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 2) to (5, 2). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, negative 5) to (negative 3, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 3) to (5, 3).
Answer:
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 3, negative 5) to (negative 2, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 2) to (5, 2).
Step-by-step explanation:
The floor function graphs as horizontal segments 1 unit long, each 1 unit up from the segment to its left. It will have a closed circle at the left end of the segment, and an open circle at the right end.
Since 2 is subtracted from the floor of the x-value, the closed circle at the left end of the segment will have coordinates (x, x-2). The only offered choice meeting that condition is the 3rd choice listed here.
Answer:
c on edge
Step-by-step explanation:
I js did it tbh
A particle moves on a straight line and has acceleration a(t)=24t+2. Its position at time t=0 is s(0)=3 and its velocity at time t=0 is v(0)=13. What is its position at time t=5?
Answer:
It's position at time t = 5 is 593.
Step-by-step explanation:
The velocity v(t) is the integral of the acceleration a(t)
The position s(t) is the integral of the velocity v(t)
We have that:
The acceleration is:
[tex]a(t) = 24t + 2[/tex]
Velocity:
[tex]v(t) = \int {a(t)} \, dt = \int {24t + 2} \, dt = 12t^{2} + 2t + K[/tex]
K is the initial velocity, that is v(0). Since V(0) = 13, K = 13
Then
[tex]v(t) = 12t^{2} + 2t + 13[/tex]
Position:
[tex]s(t) = \int {s(t)} \, dt = \int {12t^{2} + 2t + 13} \, dt = 4t^{3} + t^{2} + 13t + K[/tex]
Since s(0) = 3
[tex]s(t) = 4t^{3} + t^{2} + 13t + 3[/tex]
What is its position at time t=5?
This is s(5).
[tex]s(t) = 4t^{3} + t^{2} + 13t + 3[/tex]
[tex]s(5) = 4*5^{3} + 5^{2} + 13*5 + 3[/tex]
[tex]s(5) = 593[/tex]
It's position at time t = 5 is 593.
Given Line segment E D is-congruent-to Line segment D B , which statements about the figure are true? Check all that apply.
Line segment E B is bisected by Line segment D F .
A is the midpoint of Line segment F C .
Line segment F C bisects Line segment D B.
Line segment E B is a segment bisector.
FA = One-halfFC.
Line segment D A is congruent to Line segment A B .
Answer:
A, B, D and E.
Step-by-step explanation:
From the diagram
[tex]ED \cong DB\\FA \cong AC[/tex]
Since D is the midpoint of EB, Line segment EB is bisected by Line segment DF.Since [tex]FA \cong AC[/tex], A is the midpoint of Line segment FC.EB bisects FC at point A, therefore, Line segment E B is a segment bisector.Point A divides FC into two equal parts, FA and AC, therefore [tex]FA=\frac{1}{2}FC[/tex]The correct options are A, B, D and E.
Answer:
1, 2, 4, 5
Step-by-step explanation:
Line segment E B is bisected by Line segment D F .
A is the midpoint of Line segment F C .
Line segment E B is a segment bisector.
FA = One-halfFC.
g(x) = -4x + 5, find g(5).
Answer:
-15
Step-by-step explanation:
g(x) = -4x + 5, find g(5)
Let x = 5
g(5) = -4*5 +5
= -20 +5
= -15
Need help ASAP thanks!!
Answer:
43.96
Step-by-step explanation:
you do 6 divided by 2 to find the radius
then u find the volume
v= [tex]\pi[/tex]r^2h/3
v=3.14(3 to the power of 2)7/3
hope this helps
correct me if this is wrong
what is the answer to he equation to of x+3 x 4x-7
Answer:
4x^2 +5x -21
Step-by-step explanation:
(x+3) * (4x-7)
FOIL
first : x*4x = 4x^2
outer: -7x
inner: 3*4x =12x
last: -7*3 = -21
Add them together : 4x^2 -7x+12x -21
Combine like terms : 4x^2 +5x -21
I need this quick because I am on Khan 2(3-8y)= ? Plz help
-her daughter
Answer:
6-16y
Step-by-step explanation:
Distribute, 2 x 3 and 2 x 8
6-16y
Select the most important variables and expressions the park owners should consider as they decide whether to add another roller coaster
Answer:
The park owners should take into account the population of children in the community, if there are a good number of kids living in that area and the towns nearby - there would be a great demand for another roller coaster. They should consider the safety measures on the particular roller coaster they intend to add and check for the available space where they plan to fit the ride in the park.
Hope that answers the question, have a great day!
Tiffany needs to rent a car while on vacation. The rental company charges $18.95, plus 17 cents for each mile driven. If Tiffany only has $50 to spend on the car rental, what is the maximum number of miles she can drive?
Answer: 182 miles.
Step-by-step explanation:
0.17x + 18.95 ≥ 50
- 18.95 -18.95
0.17x = 31.05
x= 182
Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential equation (in lb/min) for the amount of salt A(t) (in lb) in the tank at time t > 0. (Use A for A(t).)
Answer:
[tex]A=1500-1450e^{-\dfrac{t}{250}}[/tex]
Step-by-step explanation:
The large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved.
Volume = 500 gallons
Initial Amount of Salt, A(0)=50 pounds
Brine solution with concentration of 2 lb/gal is pumped into the tank at a rate of 3 gal/min
[tex]R_{in}[/tex] =(concentration of salt in inflow)(input rate of brine)
[tex]=(2\frac{lbs}{gal})( 3\frac{gal}{min})\\R_{in}=6\frac{lbs}{min}[/tex]
When the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min.
Concentration c(t) of the salt in the tank at time t
Concentration, [tex]C(t)=\dfrac{Amount}{Volume}=\dfrac{A(t)}{500}[/tex]
[tex]R_{out}[/tex]=(concentration of salt in outflow)(output rate of brine)
[tex]=(\frac{A(t)}{500})( 2\frac{gal}{min})\\R_{out}=\dfrac{A}{250}[/tex]
Now, the rate of change of the amount of salt in the tank
[tex]\dfrac{dA}{dt}=R_{in}-R_{out}[/tex]
[tex]\dfrac{dA}{dt}=6-\dfrac{A}{250}[/tex]
We solve the resulting differential equation by separation of variables.
[tex]\dfrac{dA}{dt}+\dfrac{A}{250}=6\\$The integrating factor: e^{\int \frac{1}{250}dt} =e^{\frac{t}{250}}\\$Multiplying by the integrating factor all through\\\dfrac{dA}{dt}e^{\frac{t}{250}}+\dfrac{A}{250}e^{\frac{t}{250}}=6e^{\frac{t}{250}}\\(Ae^{\frac{t}{250}})'=6e^{\frac{t}{250}}[/tex]
Taking the integral of both sides
[tex]\int(Ae^{\frac{t}{250}})'=\int 6e^{\frac{t}{250}} dt\\Ae^{\frac{t}{250}}=6*250e^{\frac{t}{250}}+C, $(C a constant of integration)\\Ae^{\frac{t}{250}}=1500e^{\frac{t}{250}}+C\\$Divide all through by e^{\frac{t}{250}}\\A(t)=1500+Ce^{-\frac{t}{250}}[/tex]
Recall that when t=0, A(t)=50 (our initial condition)
[tex]50=1500+Ce^{-\frac{0}{250}}50=1500+Ce^{0}\\C=-1450\\$Therefore the amount of salt in the tank at any time t is:\\A=1500-1450e^{-\dfrac{t}{250}}[/tex]
FIND THE SMALLEST ANGLE IN THE TRIANGLE! PLEASE HELP!! 25 POINTS!!
From the side/angle inequality, we see that the smallest angle of a triangle must be opposite its shortest side. In this case, that angle is opposite the shortest side [tex]\overline{AC},[/tex] so our answer is [tex]\boxed{\angle B}.[/tex]
As for finding its measure (which I'm aware the question probably didn't ask for), we can use the law of cosines:
[tex]5^2=6^2+7^2-2(6)(7)\cos B[/tex]
[tex]\cos B=\frac{5}{7}\implies\angle B\approx\boxed{44.4^\circ}.[/tex]
Answer:
Smallest Angle in the triangle is angle c.
the sum of three consecutive odd numbers is 51
Answer:
the answer for the question is 25 and 26
Which is the area of a square with one side that measures 1 foot?
A) 1 square inch
B) 100 square inches
C) 144 square inches
D) none of the above
Find the value of x round to the nearest tenth
Answer:
4.1 cm
Step-by-step explanation:
The segment marked x bisects the chord, so the triangle shown has legs x and 7.8, and hypotenuse 8.8.
The Pythagorean theorem can be used to find x:
8.8² = x² +7.8²
x² = 8.8² -7.8² = 77.44 -60.84 = 16.60
x = √16.6
x ≈ 4.1 . . . cm
Is
1x7x6x7x89x7x33x188+4444-82x77x9999= 1073207806
Answer:
Yes
Step-by-step explanation:
Simplify the following:
1×7×6×7×89×7×33×188 + 4444 - 82×77×9999
1×7 = 7:
7×6×7×89×7×33×188 + 4444 - 82×77×9999
7×6 = 42:
42×7×89×7×33×188 + 4444 - 82×77×9999
42×7 = 294:
294×89×7×33×188 + 4444 - 82×77×9999
| | 2 | 9 | 4
× | | | 8 | 9
| 2 | 6 | 4 | 6
2 | 3 | 5 | 2 | 0
2 | 6 | 1 | 6 | 6:
26166×7×33×188 + 4444 - 82×77×9999
26166×7 = 183162:
183162×33×188 + 4444 - 82×77×9999
| 1 | 8 | 3 | 1 | 6 | 2
× | | | | | 3 | 3
| 5 | 4 | 9 | 4 | 8 | 6
5 | 4 | 9 | 4 | 8 | 6 | 0
6 | 0 | 4 | 4 | 3 | 4 | 6:
6044346×188 + 4444 - 82×77×9999
| | | 6 | 0 | 4 | 4 | 3 | 4 | 6
× | | | | | | | 1 | 8 | 8
| | 4 | 8 | 3 | 5 | 4 | 7 | 6 | 8
| 4 | 8 | 3 | 5 | 4 | 7 | 6 | 8 | 0
| 6 | 0 | 4 | 4 | 3 | 4 | 6 | 0 | 0
1 | 1 | 3 | 6 | 3 | 3 | 7 | 0 | 4 | 8:
1136337048 + 4444 - 82×77×9999
| | 8 | 2
× | | 7 | 7
| 5 | 7 | 4
5 | 7 | 4 | 0
6 | 3 | 1 | 4:
1136337048 + 4444 + -6314×9999
| | | | 9 | 9 | 9 | 9
× | | | | 6 | 3 | 1 | 4
| | | 3 | 9 | 9 | 9 | 6
| | | 9 | 9 | 9 | 9 | 0
| 2 | 9 | 9 | 9 | 7 | 0 | 0
5 | 9 | 9 | 9 | 4 | 0 | 0 | 0
6 | 3 | 1 | 3 | 3 | 6 | 8 | 6:
1136337048 + 4444 + -63133686
| | | | | | 1 | | | 1 |
| 1 | 1 | 3 | 6 | 3 | 3 | 7 | 0 | 4 | 8
+ | | | | | | | 4 | 4 | 4 | 4
| 1 | 1 | 3 | 6 | 3 | 4 | 1 | 4 | 9 | 2:
1136341492 - 63133686
| | | | | | | 10 | | |
| | 0 | 13 | | | 3 | 0 | 14 | 8 | 12
| 1 | 1 | 3 | 6 | 3 | 4 | 1 | 4 | 9 | 2
- | | | 6 | 3 | 1 | 3 | 3 | 6 | 8 | 6
| 1 | 0 | 7 | 3 | 2 | 0 | 7 | 8 | 0 | 6:
Answer: 1,073,207,806
Answer:
4.6570394e+12
Step-by-step explanation:
1. 1x7=7
2. 7x6=42
3. 42x7=294
4. 294x89=26166
5. 26166x7=183162
6. 183162x33=6044346
7. 6044346+4444=6048790
8. 6048790-82=6048708
9. 6048708x77=465750516
10. 465750516x9999=4.6570394e+12