When the pit stop duration is one minute other cars will gain 3/2 miles
Time duration of a pit stop during the car race = 10 seconds
The distance gained by other cars = 1/4 mile
Pit stop: During a race, a racing car makes a pit stop to get fuel, fresh tires, repairs, mechanical adjustments, a new driver, or any combination of the aforementioned. The pits typically consist of a row of garages where the work is done outside and a pit lane that runs parallel to the start/finish straight and is connected to the main track at each end.
When the duration is one minute or 60 seconds, then the distance gained by other cars will be:
Distance gained by other cars in 10 seconds*6 = 1/4*6 = 3/2 miles
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two hair products, a styling cream and a mousse, were compared to see which gave the better curl hold. forty women aged 18 to 25 were randomly split into two groups; one group was assigned to use the styling cream for the next two weeks and the other group was assigned to use the mousse. at the end of two weeks, each young woman reported on how well the product held their curl on a scale from 0 to 10 with 0 being the worst and 10 being the best you could possibly expect. is this experiment double-blind?
The information given regarding the hair products, a styling cream and a mousse shows that it's not double bind.
What is double bind in an experiment?The subjects in a single-blind study are not made aware of the research treatment, if any, they are receiving. In a double-blind study, the researchers and participants are both unaware of the treatment allocation.
Due to the fact that neither the participant nor the researcher are aware of who has got what therapy, double-blind trials are regarded as the most credible type of research. This is done in an effort to lessen bias and the placebo effect.
It should be noted that in this case, one group was assigned to use the styling cream for the next two weeks and the other group was assigned to use the mousse.
Both groups should have been given same product to illustrate the double bind in the experiment.
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Given f(x) = 2x³ + kx - 4, and the remainder when f(x) is divided by x + 2 is -18, then what is the value of k?
The value of k is 15 in the given equation f(x)=2x³ + kx - 4.
What exactly do we mean by equations?
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.So, the value of K:
f(x)=2x³ + kx - 4x+2=0x= -2The remainder when dividing by x-a is f(a) according to the remainder theorem:
f(-2)=2(-2)³+k(-2)-4= -2(-8)-2k-4= 16-2k-4- 18 is the remainder:
16-2k-4 = -1812-2k = -18-2k = -18-12-2k = -30k = 15Therefore, the value of k is 15 in the given equation f(x)=2x³ + kx - 4.
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A students cost for last semester was 2000 dollars. She spent 300 on books. What percent of last semester was spent on books
Step-by-step explanation:
100% = $2000
1% = 100%/100 = 2000/100 = $20
how many % are $300 ?
well, as many % as 1% fits into these $300 :
300 / 1% = 300 / 20 = 15%
15% of last semester's costs were spent on books.
Answer:
total= 2000
spent = 300
300/2000x100
= 15 %
PLsss mark as Brainliest
NEED HELP FAST PLEASE!!! The perimeter of a geometric figure is the sum of the lengths of its sides. The perimeter of the pentagon (five-sided figure) on the right is 42 centimeters.
A. Write an equation for the perimeter
B. Solve the equation in part (a)
C. Find the length of each side
a. The equation of the perimeter is x + x + x + 2x + 2x = 42. Option A
b. x = 6 centimeters
c. The lengths are 6 centimeters , 6 centimeters , 6 centimeters , 12 centimeters and 12 centimeters respectively.
How to determine the perimeterIt is important to note that the formula for calculating the perimeter of a pentagon is expressed as;
Perimeter = 5a
Where: 'a' represents the length of one of its side
From the information given, we have that the perimeter of the geometrical figure is the sum of its sides.
Given the sides;
x , x , x, 2x , 2x
Now, substitute the values into the formula for perimeter
x + x + x + 2x + 2x = 42
collect like terms and add them
7x = 42
Now, make 'x' the subject of formula by dividing both sides by the coefficient of the variable 'x'
We have;
7x/7 == 42/7
x = 6 centimeters
But the length of the sides is determined by substituting the value of x as 6
x = 6 centimeters
x = 6 centimeters
x = 6 centimeters
2x = 2(6) = 12 centimeters
2x = 2(6) = 12 centimeters
Hence, the lengths are 6, 6, 6 , 12 and 12 centimeters respectively.
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The standard form of a parabola is y=ax² +bx+c. Find the equation to the parabola that
passes through the points (0,4), (2,4) and (-2,8).
The equation to the parabola that passes through the points (0,4), (2,4) and (-2,8) is y = 6x+8.
What is a parabola?A parabola is a mirror-symmetrical, nearly U-shaped planar curve in mathematics. It correlates to a multitude different statistical equations that appears to be superficially distinct and yet all define the exact same arcs. A point and a line are used in one definition of a parabola. the intersection of a right circular cone with a plane parallel to an element of the cone; a plane curve produced by a point moving so that its distance from a fixed point is equivalent to its length from a dedicated line. Anything resembling a bowl (such as an antenna or microphone reflector). A parabola graph shows a quadratic function as a U-shaped curve. A parabola is one of the conic sections in mathematics and is created by the intersection of a right circle .
y= ax²+ bx +c
Always begin with the coordinates which has 0 in it
(0,4)
4=a(0)² + b(0) + c
4=c
y = ax²+ bx + 4
The next set of coordinates (2,4)
4 = a(2)² + b(2) + 8
4 = 4a + 2b + 8
-4 = 4a + 2b
The other set of coordinates(-2,8)
8 = a(-2) + 2-2b + 8
0 = 4a-2b
Add the two above equations together...
0 = 8a
0 = a
Subtract the two equations from each other...
= 0 + 4b
24 = 4b
6 = b
y = 6x+8
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If someone could help me with these two problems please.
( will mark brainliest if correct )
Answer: 7. 140° 8. 60°
Step-by-step explanation:
7.
A internal angle of a convex poligon is:
[tex]\displaystyle\\x=\frac{(n-2)180^0}{n} \\\\n=9\\\\So,\\\\x=\frac{(9-2)180^0}{9} \\\\x=7*20^0\\\\x=140^0[/tex]
8.
[tex]\displaystyle\\x=\frac{(n-2)180^0}{n} \\\\n=3\\\\So,\\\\x=\frac{(3-2)180^0}{3} \\\\x=1*60^0\\\\x=60^0[/tex]
Solve for x .-.
[tex] \tt {x}^{2} + 9 = 298[/tex]
Answer:
x = 17
Step-by-step explanation:
Solving for 'x':x² + 9 = 298
Subtract 9 from both sides,
x² + 9 - 9 = 298 - 9
x² = 289
Prime factorize 289,
x² = 17*17
Take square root,
[tex]\sf \sqrt{x^2}= \sqrt{17*17}[/tex]
x = 17
Find the slope……….—-
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{0}}} \implies \cfrac{ -4 }{ 5 } \implies - \cfrac{ 4 }{ 5 }[/tex]
a road is inclined at angle of 6 degrees after driving 4900 feet
A road is 6 degrees inclined after 4900 feet of travel. The driver's increasing in altitude is 509.6
Given that,
A road is 6 degrees inclined after 4900 feet of travel.
We have to find the driver's increasing in altitude.
In a right angle triangle,
According to the definition of a right triangle, a triangle is referred to as a right-angled triangle or simply a right triangle if one of the angles is a right angle (90°). Triangle ABC is a right triangle in the illustration, consisting of the base, altitude, and hypotenuse. The significant side of a right triangle is the hypotenuse, which is the longest side and sits in opposition to the triangle's right angle.
Sinθ=Altitude/Hypotenuse
Sinθ×Hypotenuse=Altitude
Altitude=Sin6°×4900
Altitude=0.104×4900
Altitude=509.6
Therefore, The driver's increasing in altitude is 509.6
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if a 1.3 vv battery stores 6.4 kjkj of energy (a reasonable value for an inexpensive c cell), for how many minutes could it sustain a current of 1.5 aa ?
A Energy t = 54.70 min could it sustain a current.
What does energy mean according to science?
Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one form to another and then use it to accomplish tasks, making modern civilization possible.Energy can take on a variety of shapes. Examples of these include: electrical energy, sound energy, chemical energy, nuclear or atomic energy, light energy, heat energy, mechanical energy, gravitational energy, and so on. Each form has the ability to shift or transform into the others.apply power = energy/time = Vi
so energy E = vit
time t = E/vi
t = 6400/(1.3* 1.5)
t = 6400/1.95 sec
t = 3282.05 sec
t = 54.70 min
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Explain.
The remaining number of socks S a store has is modeled
by S(p) = 14 - 2p, where p is the number of pairs of
socks sold.
A. What do S(0) and S(6) represent?
B. Find S(0) and S(6).
C. Graph the function with an appropriate domain for this
real-world situation. Is the domain of the function all
real numbers? Explain.
Answer:
A.) S(0) and S(6) represent the number of pairs of socks sold.
B.) S(0) = 14, S(6) = 2
C.) The domain of the function, the x-values, are all real numbers. As the domain doesn't have any imaginary number and its not infinite, as the graph shows. From (0,14) to (7,0)
Brainly pls :)
Step-by-step explanation:
B.)
S(0) = 14 - 2(0)
S(0) = 14
S(6) = 14 - 2(6)
S(6) = 2
-(2x + 5.9) +8.3 = 4+3(-x+ 2.8)
Answer:
x =10
Step-by-step explanation:
Equation
-(2x + 5.9) +8.3 = 4+3(-x+ 2.8) Carefully remove both sets of brackets
Solution
-2x - 5.9 + 8.3 = 4 + -3x + 8.4 Combine like terms on both sides
-2x + 2.4 = -3x + 12.4 Add 3x to both sides
-2x+3x + 2.4 = -3x+3x + 12.4 Combine
x + 2.4 = 12.4 Subtract 2.4 from both sides
x + 2.4 - 2.4 = 12.4 - 2.4 Combine
x = 10
Billy had a balance of -$21.46 in his bank account. As soon as he saw this * 1 point
balance, he deposited $35.50 into the account. What was the account
balance after the deposit?
O-$14.04
O $14.04
$35.50
O $56.96
Answer:
$14.04
Step-by-step explanation:
-21.46 + 35.50 is the same as
35.50 - 21.46 = $14.04
Answer: 14.04
Step-by-step explanation: -21.46 + 35.50 = 14.04
Help please. geometry.
Answer:
Area - 532 in²Volume - 576 in³==========================
GivenRight rectangular prism with dimensions 6 in, 8 in, 12 in.To findSurface area,VolumeSolutionEquation of surface area:
S = 2(lw + lh + wh)Substitute and calculate:
S = 2(8*12 + 8*6 + 12*6) = 2(216) = 532 in²Equation of volume:
V = lwhSubstitute and calculate:
V = 12*8*6 = 576 in³10×5 minus -6 to the power of 2+ -8
Answer:
(64799/1296) = 49.999
Step-by-step explanation:
If I understand this correctly...
10 × 5 - 6² ⁺ ⁻⁸
(10 × 5) - 6² ⁻ ⁸
(50) - (6⁻⁶)
50 - (1/46656)
(2332799/46656) = 49.999
or
10 × 5 - 6² ⁺ ⁻⁸
(10 × 5 - 6)² ⁻⁸
(50 - 6)⁻⁶
(44)⁻⁶
(1/7256313856)
I hope this helps!
Write 5x−4y=10 in slope-intercept form.
Answer:
y = 1.25x - 2.5
Step-by-step explanation:
To write the equation of a line in line in slope intercept form,
we can use y = mx + c
According to the question, writing the given equation in slope intercept form makes y the subject.
5x - 4y = 10
First, subtract 5x from both sides.
- 4y = 10 - 5x
Now, divide both sides by -4.
[tex]\frac{-4y}{-4}=\frac{10-5x}{-4} \\\\y = \frac{-5x}{-4}+\frac{10}{-4}\\\\y= 1.25x-2.5[/tex]
if a researcher uses u.s. census data to examine changes in the number of individuals in each racial group across states over time, she is using .
If a researcher uses u.s. census data to examine changes in the number of individuals in each racial group across states over time, she is using stratified sampling.
How are samples classified?Samples may be classified as:
A convenient sample is drawn from a conveniently available pool.In a random, all the options into a hat and drawn some of them.In a systematic, every kth element of the sample is taken. Cluster sampling divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified sampling also divides the population into groups. Then, a equal proportion of each group is surveyed.For this problem, we have that the population is divided into groups, according to their racial group, and then parts of the sample are surveyed, hence stratified sampling is used.
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Complete the following sentence. Use the integers that are closest to the number in the middle.
<√54<
Part B
Which number is closest to √54?
A 7.7
B 8
7.3
D 8.3
The integers that are closest to the number √54 are 7 and 8.
The inequality is 7 <√54 < 8.
What is inequality?Inequality is a mathematical comparison of two integers or algebraic expressions that uses the terms greater than, larger than or equal to, less than, or less than or equal to.
The given number is √54.
Now, we need to find the square root of two numbers that are closest to the given number.
√49 and √64 are two square roots nearest to √54.
√49 = 7 and √64 = 8
Put these values in the inequality to complete it,
7 <√54 < 8
Therefore, 7 and 8 are the required integers closest to √54.
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Khadija is driving on a long road trip. She currently has 12 gallons of gas in her car. Each hour that she drives, her car uses up 1.25 gallons of gas. How much gas would be in the tank after driving for 4 hours? How much gas would be left after t hours?
HURRY UP!
Solve.
−2/5x −9 < 9/10
Answer: x> -99/4
Step-by-step explanation:
−2/5x −9 < 9/10
Multiply Both Sides
-4x-90<9
Move the constant to the right
-4x < 9 + 90
Calculate
-4x < 90
Divide both sides
Answer x> -99/4
these equations on a graph pleaseee
x-3y = -18
2x - 6y = 6
1 . For the two-variable linear equation, produce three points » ordered pair solutions (x, y).
2 . Put each point on a coordinate plane and plot it.
3 . Draw an arrow at each end of a line that passes through the indicated spots.
When two equations are given and we are supposed to draw a graph.
We first have to take any random value of x preferably a small number like 1, 2 etc. and put this value in the equation and get the value of y .
Similarly, do the same for the second equation and get atleast three to four values of both x and y and plot them in a graph .
To cross check whether the graph plotted is correct ; HINT : they should form a straight line .
The graph is given below :
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Solve the inequality for x and identify the graph of its solution.
|x + 3| < 2
Answer:
B.
X>-5 and X<-1
Step-by-step explanation:
|x+3|<2
The absolute value is already isolated for, so now you make two different equations.
x+3>-2
and
x+3<2
you get x>-5 and x<-1
3:d:27:45 proportion
The value of 'd' in the proportion 3:d:27:45 is 5
What is proportion?A proportion can simply be defined as a mathematical comparison of two different numbers.
The numbers mostly describes a comparison between people, elements, quantities, or things.
It is also seen as an equation having two ratios which are proportionally set equal to each other.
The mathematical operations involved in proportion includes;
AdditionDivisionBracketMultiplicationSubtractionGiven the expression:
3:d:27:45
This is represented as;
3 = d
27 = 45
To determine the value of 'd', we have;
cross multiply
27d = 135
Make 'd' the subject of formula by dividing both sides by 27
d = 135/27
d = 5
Hence, the value is 5
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The complete question:
3:d:27:45 . Find the value of d in the proportion
A coordinate plane with a line passing through points (1, 2) and (4, 4) The slope of the graphed line is . Which formulas represent the line that is graphed? Check all that apply. y – 1 = (x – 2) y – 2 = (x – 1) y – 4 = (x – 4) f(x) = x + f(x) = x +
Answer:
A straight line is represented by a linear equation.
The possible equations are:
\mathbf{3y = 2x + 4}3y=2x+4 .
\mathbf{y = \frac 23x + \frac{4}{3}}y=
3
2
x+
3
4
.
\mathbf{y = \frac 23(x - 1) + 2}y=
3
2
(x−1)+2 .
\mathbf{y = \frac 23(x - 4) + 4}y=
3
2
(x−4)+4
The points are given as:
\mathbf{(x,y) = \{(1,2),(4,4)\}}(x,y)={(1,2),(4,4)}
Start by calculating the slope (m)
\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}m=
x
2
−x
1
y
2
−y
1
So, we have:
\mathbf{m = \frac{4-2}{4-1}}m=
4−1
4−2
\mathbf{m = \frac{2}{3}}m=
3
2
The equation in slope intercept form is then calculated as:
\mathbf{y = m(x - x_1) + y_1}y=m(x−x
1
)+y
1
So, we have:
\mathbf{y = \frac 23(x - 1) + 2}y=
3
2
(x−1)+2
or
\mathbf{y = \frac 23(x - 4) + 4}y=
3
2
(x−4)+4
Expand \mathbf{y = \frac 23(x - 1) + 2}y=
3
2
(x−1)+2
\mathbf{y = \frac 23x - \frac 23 + 2}y=
3
2
x−
3
2
+2
Take LCM
\mathbf{y = \frac 23x + \frac{-2 + 6}{3}}y=
3
2
x+
3
−2+6
\mathbf{y = \frac 23x + \frac{4}{3}}y=
3
2
x+
3
4
Multiply through by 3
\mathbf{3y = 2x + 4}3y=2x+4
So, the possible equations are:
\mathbf{3y = 2x + 4}3y=2x+4 .
\mathbf{y = \frac 23x + \frac{4}{3}}y=
3
2
x+
3
4
.
\mathbf{y = \frac 23(x - 1) + 2}y=
3
2
(x−1)+2 .
\mathbf{y = \frac 23(x - 4) + 4}y=
3
2
(x−4)+4
Isabelle is collecting pledges for a walk-a-thon. Her mother has pledged a flat donation of $9, and her grandmother has pledged $1 per mile. If Isabelle walks a certain distance, the two donors will end up owing the same amount. How much will each donor owe?
In this case, we're given the following information:
Mother = $9Grandmother = $1 per mileIsabelle walks x miles, mother pledge = grandmother pledgeThe mother's donation of $9 will not change no matter how many miles Isabelle has walked, so if both the mother's and grandmother's donations are equal, they must each owe 9$.
AnswerEach donor owes $9.
Lines AB and BC intersect at point B. Ray BD bisects angle ABC. (4x-24) B (x+6) What is the value of x?
If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The line AB and BC are intersecting at point B.
Ray BD bisect the angle ABC
∠ABD = x+8 degrees
∠ABD=∠DBC = x+8
Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal
∠ABD+∠DBC= 4x-30 degrees
Because both are vertically opposite angles
Substitute the values in the equation
x+8 + x+8 = 4x-30
2x+16 = 4x-30
2x-4x = -30-16
-2x = -46
x = 23
Hence, if line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The complete question is
Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?
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b = ____ ( look at photo )
Answer:
b = 64°
Step-by-step explanation:
The sum of interior angles of a polygon is 180°(n - 2), where "n" is number of sides.
~~~~~~~~~~
180°(6 - 2) = 720°
114° + (b + 49°) + (2b - 25°) + 142° + (b + 39°) + (3b - 47°) = 720°
7b + (114° + 49° - 25° + 142° + 39° - 47°) = 720°
7b + 272° = 720°
7b = 448°
b = 64°
Which equations represent the data in the table? Check all that apply.
The equations representing the data in the table are:
y-6 = -5/4(x+2)
y-3.5 = -1.25x
y-1 = -5/4(x-2)
The table with x and y values are:
x | y
-2 6
0 3.5
2 1
4 -1.5
We need to find the equation of the table in point slope form for this table by considering each point and the slope.
First two find the slope, consider two points (x₁, y₁) = (-2,6) and (x₂, y₂) = (2, 1).
Then slope, m = (y₂ - y₁)/(x₂ - x₁)
= (1-6)/2--2)
= -5/4
Now we find the point-slope form for each point (x', y') from the table.
The equation in point -slope form is y - y' = m(x-x')
For (x', y') = (-2,6), the point slope form will be,y-6 = -5/4(x+2)
For (x', y') = (0,3.5), the point- slope form will be,y-3.5 = -5/4x ⇒ y-3.5 = -1.25x
For (x', y') = (2, 1), the point-slope form will be,y-1 = -5/4(x-2)
For (x', y') = (4, -1.5), the point-slope form will be,y+1.5 = -5/4(x-4)
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HELLO HELP PLEASE
y = x^2 - 10
heres a picture if it helps you understand it more i guess- Thank you!
Using the formula V=Cl, find the voltage V in a circuit when the current C=3-j amps and the impedance l=3+2j ohms.
Algebra 2
Please help!
Answer:
V = 11 +3j volts
Step-by-step explanation:
You want the voltage in a circuit with current (3 -j) and impedance (3 +2j).
VoltageThe voltage is the product of current and impedance.
V = (3 -j)(3 +2j) = 3(3 +2j) -j(3 +2j)
= 9 +6j -3j -2j² = 9 -2(-1) +(6 -3)j
= 11 +3j
The voltage is V = 11 +3j.
__
Additional comment
In electronics, the letter j is used in place of the letter i to mean √(-1). This is because i means something else. (Here, i is used for "impedance." It is conventionally used for "current.")
The multiplication is carried out as though the values were polynomials. In the end, j² is replaced by -1.
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