The drivers will travel 200x miles during the race.
What is Unit of Measurement?A definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
Given that A race track is miles long
The car race is 200 laps then we have to find the number of miles the driver travel.
If the race track is x miles long, then one lap around the track is x miles.
If the race is 200 laps, the total distance covered by the drivers is:
200 laps × x miles/lap = 200x miles.
Therefore, the drivers will travel 200x miles during the race.
To learn more on Unit of Measurement click:
https://brainly.com/question/15402847
#SPJ2
What is the value of p
Answer:
2
Step-by-step explanation:
You have the correct answer selected: 2.
The reason for this is that when there are exponents inside and outside of the parenthesis like this, they are multiplied.
2 times 2 is 4. That's why (8^2)^2 = 8^4
Answer:
p = 2
Step-by-step explanation:
[tex](8^{2}) ^{p}[/tex] = [tex]8^{4}[/tex]
[tex]8^{2p}[/tex] = [tex]8^{4}[/tex]
[tex]8^{p}[/tex] = [tex]8^{\frac{4}{2}[/tex]
p = 2
A class has $90 to spend on a field trip. The field trip costs $2.50 per person and there will be 5 chaperones on the trip. One student used the inequality 90 greater-than 2.50 (x + 5) to find x, the number of students that the field trip budget could accommodate. Which best describes the error in the student’s inequality?
Answer:
Step-by-step explanation:
x is the number of students
(x+5) is the number of students and chaperons
$2.50·(x+5) is the amount of money the number of students and chaperons will pay for the trip, and that number should be less or equal than $90 because those are all the money they have
2.50(x+5) ≤ 90 which is the same as 90 ≥ 2.50(x+5)
The inequality "90 greater-than 2.50 (x + 5) "
90 > 2.50(x+5) is an error becase it excludes the possibility that the trip can cost exact $90 so we need not just greater than > , yet greater and equal than ≥ sign
90 ≥ 2.50(x+5)
Number 8 is the answer 90*
Answer:
E
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
Consider the triangle on the left
3rd angle = 180° - 60° - 90° = 180° - 150° = 30°
the 3rd angle of the triangle on the left = 30° ( vertically opposite angle ), so
∠ 1 = 180° - 30° - 65° = 180° - 95° = 85°
Find u. v.
U V=
(8, 2)
= (-6, 3)
U =
V =
Answer:
-42
Step-by-step explanation:
Assuming you want the dot product,
(8)(-6)+(2)(3)= -42
cual es la mitad de 980
Al aplicar operaciones de aritmética básica, tenemos que la mitad de 980 es igual a 490.
¿Cuál es la mitad de un número par?
En esta pregunta tenemos un número par de tres dígitos que termina en cero. De acuerdo con la teoría numérica, un número de base 10 de más de un dígito que tenga un número par relacionado con números impares como último dígito, tendrá un número impar si es dividido por 2.
Ahora bien, si tenemos un número par con más de un dígito que termina en cero, entonces tendrá un número par que termina en 0 si es dividido por 2.
Si dividimos 980 por 2, entonces tenemos 490 como resultado:
980/2 = 98/2 × 10 = 49 × 10 = 490
Para aprender más sobre números pares: https://brainly.com/question/18745273
#SPJ1
Find all the solutions to 3x^3 - 6x^2 + 30x - 20 = -20
Answer: Option (1)
Step-by-step explanation:
[tex]3x^3 - 6x^2 + 30x-20=-20\\\\3x^3 - 6x^2 + 30x=0\\\\3x(x^2 - 2x+10)=0\\\\[/tex]
So, either [tex]x=0[/tex] or [tex]x^2 -2x +10=0[/tex]
For the second case, we know x=0.
For the second case, we can use the quadratic formula.
[tex]x=\frac{2 \pm \sqrt{(-2)^2 - 4(1)(10)}}{2}\\\\x=1 \pm 3i[/tex]
Given: 3x+12=8x−18 algebraic proofs
Step Reason
3x+12=8x−18
12=5x−18
30=5x
6=x
x=6
The value of x comes out to be 6 from the algebraic equation.
Solving the Given Algebraic Equation for x:
Given algebraic equation is,
3x + 12 = 8x - 18
⇒ 12 = 8x - 3x -18
8x - 3x - 18 = 12
5x - 18 = 12
5x = 12 + 18
5x = 30
x = 30 / 5
x = 6
What is an algebraic equation?
A mathematical statement in which two expressions are put equal to one another is known as an algebraic equation. One or more variables, coefficients, and constants make up an algebraic equation in most cases. Anything on one side of the equal sign must have the exact same value on the opposite side in order for it to not be considered unequal.
Learn more about an algebraic equation here:
https://brainly.com/question/953809
#SPJ1
Find the reminder when 3x² + 2x -7 is divided by x - 1
Answer:
-2
Step-by-step explanation:
When x = 1, 3x² + 2x - 7 = -2.
The difference of the square of a number and 8 is equal to 8 times that number. Find the positive solution.
Answer:
[tex]2\sqrt{6} +4[/tex]
Step-by-step explanation:
Let x be that unknown number.
From the information given from the question, we can deduce:
[tex]x^{2} -8=8x[/tex]
From here, we can solve for x to find what is the number.
[tex]x^{2} -8=8x\\x^{2} -8x-8=0[/tex] (Quadratic Equation)
From here we can use the Quadratic Formula to solve for x.
[tex]x=\frac{-b+/-\sqrt{b^{2} -4ac} }{2a}[/tex]
In this case,
a = 1, b = -8 , c = -8
We substitute a, b and c to find x.
[tex]x=\frac{-(-8)+/-\sqrt{(-8)^{2}-4(1)(-8) } }{2(1)} \\= 2\sqrt{6} +4[/tex]
(Reject the negative solution)
In the diagram above, angle 1=40. Find the measure of angle 4
Answer:
40
Step-by-step explanation:
angle 1 and 4 are vertical angles therefore they have the same measure of 40 degrees
ил
-
10: Find the x-and y-intercepts of the graph of the function f(x) = x^4 − 1
Solution :
Find the x-and y-intercepts of the graph of the function f(x) = x^4 − 1
Answer: The given equation is
f(x) = x^{4} - 1
x- and y-intercept of the graph of the function f(x) = x^4 - 1 is
x-intercept(s): (1,0), (−1,0)
y-intercept(s): (0, −1)
A graph of the above point is attached
Step-by-step explanation:
Given equation, f(x) = x^{4} - 1
let's assume the above equation with respect to y to find intercept i.e
y = x^{4} - 1 .........................(i)
Now, for the x-intercept put y = 0 in eq.(i)
So, we get,
0 = x^4 - 1
x^4 = 1
x = -1, +1
from above we get the x-intercept (1,0), (−1,0)
Now, for the y-intercept put x = 0 in eq.(i)
So, we get
y = 0^4 - 1
y = -1
from above we get the y-intercept (0, -1)
Therefore, from all above
x- and y-intercept of the given equation f(x) = x^4 - 1 isx-intercept(s): (1,0), (−1,0)
y-intercept(s): (0, −1)
Graph of the given equation f(x) = x^4 - 1 with intercept is
Use the Associative Property to find the value of the variable.
(8 x 15) x s = 8 x (15 x 11)
Answer:
hey its me again so the answer is 11.
I'm sure because I did this.
could anyone help me with this?
Answer:
Step-by-step explanation:
A=6x²
[tex]\frac{dA}{dt} =6\times 2x \times \frac{dx}{dt} \\\frac{dA}{dt}=12x \frac{dx}{dt}[/tex]
This is multiple choice pls help
Answer: b and e
Step-by-step explanation:
b - the slope is positive
the slope is 8 not negative 8 because, 4+4/2-1 = 8/1 = 8 since subtracting 4 and -4 makes it 4+4
e - it is possible for x to be positive and for y to be negative
if a person invested half of her money at 11% and half at 10% and received $420 interest. find the total amount
The total amount invested was $4000. $2000 was invested at 11% while the remaining $2000 was invested at 10%.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the total amount of money invested, hence:
(0.5* x * 0.11) + (0.5 * x * 0.1) = 420
x = 4000
The total amount invested was $4000. $2000 was invested at 11% while the remaining $2000 was invested at 10%.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Need an detailed step by step answer and solution again
Answer:
12u²
Step-by-step explanation:
area of a regular quadrilateral is always base x vertical height.
the base here is clearly 4 (just count the squares)
draw an imaginary line connecting the bottom right corner to the line before the top right corner (the line should be vertical)
count the squares here too and you get 3.
so the area = 3 x 4,
the area is 12u²
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y 2x+122x + y ≤5
The solution of the inequalities is (0.375, 4.25)
How to graph the inequalities?The system of inequalities is given as:
3y > 2x + 12
2x + y ≤ 5
Next, we plot the inequalities on a graph (see attachment)
From the graph, both inequalities intersect at
(x, y) = (0.375, 4.25)
This represents the solution of the inequalities
Read more about inequalities at:
https://brainly.com/question/20383699
#SPJ1
– 42 – 54 + 96 =
what is the answer
Answer:
Answer:the answer is zero
Answer:the answer is zero Step-by-step explanation:
Answer:the answer is zero Step-by-step explanation:when we add -42 and -54 the answer we get is -96. -96and +96 cut each other and then the answer is zero
[tex] - 42 - 54 + 96 = 0[/tex]
It rains 4 days in a week and is dry for 3 days. What fraction of the week is dry?
Answer:3/7
Step-by-step explanation:There are total 7 days in a week. 3 days were dry so the fraction is 3/7 . The dry days over the total days of the week
Match the expressions to their solutions or equivalents. (-3/8) + (-1/8)
Answer:
-1/2
Step-by-step explanation:
-3/8+-1/8=-4/8 which is equal to -1/2
Answer:
1/4
Step-by-step explanation:
(3/8)+(-1/8)
= (3/8) - (1/8)
= 2/8
= 1/4
Given the coordinates below, what is the midpoint of AB?
A(-6, -10)
B(2,5)
Given :
[tex] \: [/tex]
A(-6, -10)B( 2, 5)
[tex] \: [/tex]
[tex] \gray{ \frak{The \: given \: two \: \: points \: are(x_{1 },y_{1})=(−6 , -10)and(x_{ 2 },y_{2} )=( 2,5 )\:}}[/tex]
[tex] \: [/tex]
Let's solve by using midpoint formula :
[tex] \: [/tex]
[tex] \bf \boxed{\color{red}\frak{Midpoint \: \: Formula : {( \: x ,\:y \: ) = }( \frak{ \frac{x_{1 } + y_{1}}{2} , \frac{x_{2 } + y_{2}}{2} )}}}[/tex]
[tex] \: [/tex]
[tex] \large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \frac{ -6 + 2}{2} , \frac{ - 10 + 5}{2} )}}[/tex]
[tex] \: [/tex]
[tex] \: \large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \frac{ -4}{2} , \frac{ - 5}{2} )}}[/tex]
[tex] \: [/tex]
[tex]\large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \cancel\frac{ -4}{2} , \cancel\frac{ - 5}{2} )}}[/tex]
[tex] \: \: [/tex]
[tex] \underline{ \boxed{ \large \red{ \frak{option \: d }( \frak{ - 2, - 2.5)}}}}✓[/tex]
Hope Helps! :)
which of the following regression equation best fits the data graphed below?
Answer:
D
Step-by-step explanation:
Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect.
Figure ABCD is a kite. The area of ABCD is 48 square units. The length of line segment BD is 8 units.
What is the length of AC?
5 units
6 units
10 units
12 units
The length of AC is 12 units . Option D
How to determine the length
The formula for area of a kite is given thus;
Area = [tex]\frac{p * q}{2}[/tex]
Where p and q are the lengths
Area of kite = 48 square units
BD, q = 8 units
AC , p = unknown
Substitute the values
[tex]48 = \frac{AC * 8}{2}[/tex]
Cross multiply
[tex]AC * 8 = 48 * 2[/tex]
[tex]8AC = 96[/tex]
[tex]AC = \frac{96}{8}[/tex]
[tex]AC = 12[/tex] units
Thus, the length of AC is 12 units . Option D
Learn more about area of a kite here:
https://brainly.in/question/33613094
#SPJ1
Answer:option 4
Step-by-step explanation:
Which rules define the function graphed below?
65
4
3
32
(0.2)
-2
-3-
(3,5)
--3--2--11 1 2 3 4
O y=x; y = 5
O y = x + 2; y = 5
O y=x; x = 5
O y=x+2; x = 5
The rules that define the piecewise function graphed are as follows:
y = x + 2, y = 5.
What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
In this problem, for x between 0 and 3, a linear function is given, with slope given as follows:
m = (5 - 2)/(3 - 0) = 1.
The y-intercept is of 2, as y = 2 when x = 0, hence the definition is:
[tex]y = x + 2, 0 \leq x \leq 3[/tex]
For x greater than 3, the function is constant at y = 5, hence the definition is:
y = 5, x > 3.
Hence, the rules that are used to define the piecewise function graphed are as follows:
y = x + 2, y = 5.
More can be learned about piecewise functions at https://brainly.com/question/27976102
#SPJ1
What is
3/2^2 equal to
Answer: SQUARE ROOT OF 8
Step-by-step explanation: 2^3^1/2 is SQUARE ROOT OF 8. GOD BLESS
- FRIEND TO DINO
(06.03 HC)
Solve the following system of equations. Show all work and solutions.
y = 3x2 + 6x + 4
y = -3x2 + 4
Answer: [tex](x,y)=\{(-1,1), (0,4) \}[/tex]
Step-by-step explanation:
[tex]3x^2 +6x+4=-3x^2 +4\\\\6x^2 +6x=0\\\\x^2 +x=0\\\\x(x+1)=0\\\\x=-1, 0\\\\x=-1 \longrightarrow y=1\\\\x=0 \longrightarrow y=4\\\\\therefore (x,y)=\{(-1,1), (0,4) \}[/tex]
The solution of the quadratic equations will be ( 0, 4 ) and ( -1, 1).
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given quadratic equations are given as below:-
y = 3x² + 6x + 4
y = -3x² + 4
Equate the equations and solve for the value of x.
3x² + 6x + 4 = -3x² + 4
6x² + 6x = 0
x² + x = 0
x ( x + 1 ) = 0
x = 0 and x = -1
At x=0 and x=-1 the values of y are calculated as below:-
y = -3x² + 4
y = 0+ 4 = 4
y = -3 + 4 = 1
Therefore, the solution of the quadratic equations will be ( 0, 4 ) and ( -1, 1).
To know more about quadratic equations follow
https://brainly.com/question/1214333
#SPJ5
1376x13 please solve this equation and show work
The value of 1376 * 13 is 17888
How to solve the expression?The expression is given as:
1376 * 13
Express 1376 as 1300 + 76
(1300 + 76) * 13
Expand
1300 * 13 + 76 * 13
Evaluate the product
16900 + 988
Evaluate the sum
17888
Hence, the value of 1376 * 13 is 17888
Read more about products at:
https://brainly.com/question/10873737
#SPJ1
The amount of detergent dispensed into bottles of liquid laundry detergent bottles for a particular brand is normally distributed with a mean of 84.5 ounces with a standard deviation of 1.1 ounces. If seventeen bottles are randomly chosen from the factory, what is the probability that the mean fill is more than 84.8 ounces
The probability that the mean fill is more than 84.8 ounces is 0.39358
How to determine the probability that the mean fill is more than 84.8 ounces?From the question, the given parameters about the distribution are
Mean value of the set of data = 84.5Standard deviation value of the set of data = 1.1The actual data value = 84.8The z-score of the data value is calculated using the following formula
z = (x - mean value)/standard deviation
Substitute the given parameters in the above equation
z = (84.8 - 84.5)/1.1
Evaluate the difference of 84.8 and 84.5
z = 0.3/1.1
Evaluate the quotient of 0.3 and 1.1
z = 0.27
The probability that the mean fill is more than 84.8 ounces is then calculated as:
P(x > 84.8) = P(z > 0.27)
From the z table of probabilities, we have;
P(x > 84.8) = 0.39358
Hence, the probability that the mean fill is more than 84.8 ounces is 0.39358
Read more about probability at:
https://brainly.com/question/25870256
#SPJ1
His wife makes a final test of Odysseus' identity by getting him to tell
about the building of his bed
the name or his favorite dog
about the day he went away
how he got a scar on his arm
Answer: About the building of his bed
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y 2x+122x + y ≤5
The plotting of the inequalities was done using geogebra online graphing calculator. The graph is attached.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. It should be noted that in inequality, unlike in equations, we compare two values.
The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign. Inequality is an expression used to show the nonequal comparison of numbers and variables.
Given the system of inequalities:
3y > 2x + 12
3y - 2x > 12 (1)
2x + y < -5 (2)
Plotting the inequalities using GeoGebra online graphing calculator. The graph is attached
Learn more on inequalities on:
brainly.com/question/11613554
#SPJ1