Charlie drove 90 miles between San Antonio and Houston.
Nicholas and Rose each drove 2/5 of the total distance (190 miles). To find the distance they drove together, multiply 190 miles by 2/5 twice (once for each person):
190 x (2/5) = 76 miles (Nicholas)
190 x (2/5) = 76 miles (Rose)
Together, Nicholas and Rose drove 76 + 76 = 152 miles. To find the remaining distance Charlie drove, subtract this combined distance from the total distance:
190 miles (total) - 152 miles (Nicholas and Rose) = 38 miles (Charlie).
Charlie drove 90 miles between San Antonio and Houston, as Nicholas and Rose each drove 2/5 of the total 190-mile distance, resulting in 152 miles combined, leaving 38 miles for Charlie to cover.
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Show that |3 + 10| = |3| + |10|.
Answer:
ANS Below
Step-by-step explanation:
As they are both equations involving absolute values, we can determine that |3 + 10| = 3 + 10 and that |3| + |10| = 3 + 10 show that they are both identical.
Hope this helps! :)
The winning car in a race beat the second car by 19/100 of a second. The third car was 4/10 of a second behind the second car. By how much did the first car beat the third car?
Answer:
21/100 of a second
Step-by-step explanation:
4/10 = 40/100
40/100 - 19/100 = 21/100
if a parametric surface given by and , has surface area equal to 1, what is the surface area of the parametric surface given by with ?
Let's start by finding the surface area of the parametric surface given by
To find the surface area, we need to evaluate the integral:
where
The surface area can be expressed in terms of a double integral over the parameter domain of the surface, which is the square [0,1] × [0,1]:
First, we need to compute the partial derivatives:
Then, we can compute the cross product:
Finally, we can compute the magnitude of the cross product:
Thus, the surface area of the parametric surface given by
is
Now, to find the surface area of the parametric surface given by
we can use the same method. The partial derivatives are:
The cross product is:
And the magnitude of the cross product is:
Thus, the surface area of the parametric surface given by
is
Therefore, the surface area of the second parametric surface is 2 times the surface area of the first parametric surface, which is 2.
The given parametric surface has a surface area given by 2π.
To find the surface area of the parametric surface given by with , we need to use the formula for the surface area of a parametric surface:
A = ∫∫ ||(∂f/∂u) x (∂f/∂v)|| dudv
where ||(∂f/∂u) x (∂f/∂v)|| is the magnitude of the cross product of the partial derivatives of the parametric equations, and dudv is the area element in the u-v plane.
For the given parametric surface, we have:
x = u
y = v
z = uv
So, the partial derivatives are:
∂f/∂u = i + vj
∂f/∂v = ui + uk
Taking the cross product, we get:
(∂f/∂u) x (∂f/∂v) = -vj + uuk - vk
Taking the magnitude, we get:
||(∂f/∂u) x (∂f/∂v)|| = √(1 + u² + v²)
So, the surface area is:
A = ∫∫ √(1 + u² + v²) dudv
To evaluate this integral, we can use a change of variables:
x = u
y = v
z = √(1 + u² + v²)
which gives us a surface that is a hemisphere of radius 1. The surface area of a hemisphere is given by:
A = 2πr²
So, in this case, the surface area is:
A = 2π(1)² = 2π
Therefore, the surface area of the parametric surface given by with is 2π.
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what is the square root of 38.7
Answer:
6.220932406
Why on Earth would you need that??
Tatiana works for a company that allows her to deduct money from her paycheck to buy her own company’s stock. What is this called?
A.
direct stock plan
B.
corporate bond
C.
mutual fund
D.
401k account
Answer:
The answer is A.) Direct stock plan!
Step-by-step explanation:
I just took the test:)
Use the proportion d / 180° = r radians/πradians . Find the equivalent degree measure or radian measure. 380°
The equivalent degree measure or radian measure is,
⇒ r radians = 19π/9
We have to give that,
The proportion is,
⇒ d / 180° = r radians /π radians
Here, Substitute d = 380° in above formula,
⇒ 380° / 180° = r radians /π radians
⇒ 19/9 = r radians /π radians
⇒ 19π/9 = r radians
⇒ r radians = 19π/9
Therefore, The equivalent degree measure or radian measure is,
⇒ r radians = 19π/9
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Answer please! I couldn’t figure it out.
By solving a system of equations we will see that she sold 80 phones and 240 accessories.
How many phones and accessories were sold?
Let's define the variables:
x = number of phones.
y = number of accessories.
We know that she makes $160 on commissions, and that she sold 3 times as many accessories as phones, so we can write the system of equations:
y = 3x
x*$8 + y*$4 = $160
To solve the system, we can replace the first equation into the second one.
x*$8 + (3x)*$4 = $160
x*$8 + x*$12 = $160
x*$20 = $160
x = $160/$20 = 80
She sold 80 phones, and the number of accessories is:
y = 3x
y = 3*80 = 240
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What is the length of the line segment that has endpoints at (-5,7) and (7,2)
A 13
B 10.9
C 5.4
D 15
Answer:
A
Step-by-step explanation:
sqrt of (x_2 - x_1)^2 + (y_2 - y_1)^2
sqrt of (7 - -5)^2 + (2 - 7)^2
sqrt of (12)^2 + (-5)^2
sqrt of (144 + 25)
sqrt of (169)
13
the inspector samples five cirucit boads at reuglar intervals and finds the means older quality score x for these five boards. do we expec x to be exactly 100 if the soldering process is functioning pripertly
The parameter refers to the entire population and the statistics refers to a sample, only a sample will be inspected, no, only 99.7%, a student t distribution with spread σ/√n, The mean is less variable than single observations from the population, The distribution of the mean call length x becomes approximately normal distributed.
The parameter refers to numbers that summarize the data of the entire population while; Statistics refers to the numbers that summarize the data for a subset of the population or of a sample
No, he expects 99.7% to function within three standard deviations of the mean
The distribution of the sample average will be the student t distribution curve with spread = σ/√n
The mean includes a collection of variables from the sample, hence it is less variable than single observations from the population
As per the Central Limit Theorem, the distribution of the mean call length x from large samples of calls becomes more and more approximately normal as the size of the sample approaches that of the population.
--The given question is incomplete, the complete question is
"What is the difference between parameters and statistics? 2. Does statistical process control inspect all the items produced after they are finished? 3. The inspector samples five circuit boards at regular intervals and finds the mean solder quality score of x for these five boards. Do we expect x to be exactly 100 if the soldering process is functioning properly? 4. If the quality of individual boards varies according to a normal distribution with mean µ = 100 and standard deviation σ = 4, what will be the distribution of the sample averages, x? (Recall the sample size is n = 5.) 5. In general, is the mean of several observations more or less variable than single observations from a population? Explain. 6. The distribution of call lengths to a call centre is strongly skewed. What does the Central Limit Theorem say about the distribution of the mean call length x from large samples of calls?"--
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what is the point-slope form of a line with slope -4 that contains the point (-2, 3)
Answer:
\(y - 3 = - 4(x + 2)\)
The total height of the cubes stacked on top of each other is 2f + 3g^2.
The cubes have a combined volume that is the same as a rectangular prism of the same height. What is the area of the base of the rectangular prism? (Recall: V = Bh)
A: 2f + 3g^2
B: 8f^3 + 27g
C: 2f - 6fg^2 + 3g^2
D: 4f^2 - 6fg + 9g^4
(And pls be fast)
The area of the base of the rectangular prism will be D. 4f² - 6fg + 9g⁴.
How to illustrate the information?it should be noted that from the information given, the cubes have a combined volume that is the same as a rectangular prism of the same height.
The total height of the cubes stacked on top of each other is 2f + 3g²
Therefore, the area will be:
= (2f)² - 2(3fg) + (3g²)²
= 4f² - 6fg + 9g⁴
Therefore, the area of the base of the rectangular prism will be 4f² - 6fg + 9g⁴.
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Which of the following inequalities are correct?
Some of the numbers involved are shown on the number line below.
Answer:
Theyre all correct
Step-by-step explanation:
What is the approximate area of a sector of a circle with a radius of 8 cm, and a minor arc of 70 degrees?
Answer:
39.0953=39cm2
Step-by-step explanation:
Minor arc =70
Angle of arc=70
Then this sector =70/360=7/36 of the circle
Then area = 7/36x3.14x8x8=39cm2 approximatly
Two charges exist along the x-axis, q 1
=+6mC and is located at (−4.1,0)m and q 2
=−7mC and is located at (−6,2,0) m. Determine: a) The electrical potential at the origin: b) The electrical potential at the point (0,2.2)m :
The electrical potential at the point (0,2.2)m is -8.617 V
a) The electrical potential at the origin:
We know that the electric potential at any point P due to a point charge q at a distance r from it is given as:
V = kq/r
where k is a constant and its value is 9 × 10^9 Nm^2/C^2.q = 6 μC = 6 × 10^-6 C
Distance between the charge and the origin, r1 = sqrt((-4.1)^2 + 0^2) = 4.1 m.
Distance between the charge and the point (0,2.2)m, r2 = sqrt((-4.1)^2 + (2.2)^2) = 4.6 m.
The electrical potential at the origin isV1 = kq/r1= 9 × 10^9 × 6 × 10^-6 / 4.1= 13.846 V
Thus, the electrical potential at the origin is 13.846 V.
b) The electrical potential at the point (0,2.2)m:
Let's find the potential at the point (0,2.2)m.
So the distance between q1 and the point (0,2.2)m is, r11 = sqrt((-4.1)^2 + (2.2)^2) = 4.6 m
Now, the distance between q2 and the point (0,2.2)m is,r22 = sqrt((-6)^2 + (2.2)^2) = 6.2804 m
So, the electrical potential at the point (0,2.2)m is given by,
V2 = kq1/r11 + kq2/r22
= 9 × 10^9 × 6 × 10^-6 / 4.6 + 9 × 10^9 × -7 × 10^-6 / 6.2804= -8.617 V
Thus, the electrical potential at the point (0,2.2)m is -8.617 V.
The electrical potential at the origin is 13.846 V..
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find the values of x and y
Answer:
x = 8 degrees ; y= 12 degrees
Step-by-step explanation:
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B
Step-by-step explanation:
to change a mixed number into an improper fraction
a \(\frac{b}{c}\) = \(\frac{ac+b}{c}\) , then
9 \(\frac{1}{3}\)
= \(\frac{9(3)+1}{3}\)
= \(\frac{27+1}{3}\)
= \(\frac{28}{3}\)
Answer:
we use the same program
Step-by-step explanation:
28/3 Is the answer!
(by the way you can use a simplify calculator
for most of the problems it gives you.)
Hopefully this helps you!
-Keira
Find an equation for the hyperbola with foci (0,±5) and with asymptotes y=± 3/4 x.
The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:
y^2 / 25 - x^2 / a^2 = 1
where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.
Thus, the equation for the hyperbola is:
y^2 / 25 - x^2 / (400/9) = 1
or
9y^2 - 400x^2 = 900
The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.
To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.
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Which statement(s) describe perpendicular lines? Choose ALL that apply.
A. Perpendicular lines never meet or cross.
B. Perpendicular lines form a 90 degree angle.
C. Perpendicular lines intersect.
the image shows this famous mondrian painting. the rectangle in the top left is red, the one in the bottom left is blue and the one in the bottom right is yellow. the remaining ones are white. how many rectangles are the altogether in the painting?
The number of rectangles in the paintings shown is: 7 rectangles.
What is a Rectangle?A rectangle is a quadrilateral shape with four sides and four angles.
A rectangle has two opposite sides that are equal to each other and are parallel as well. Also, the interior angles formed by the sides are right angles.
Thus, from the paintings there are:
1 red rectangle4 white rectangles1 blue rectangle1 yellow rectangleTherefore, the number of rectangles in the paintings shown is: 7 rectangles.
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Which of the following is a polynomial?
Answer:
C
Step-by-step explanation:
Polynomials should consist of only non-negative integer powers of x. Thus B and D are definitely not. It might be possible to simplify A into something that looks like a polynomial, but it’s a bit difficult. If you just need to choose one, then C is definitely a good choice.
My incomplete attempt of factorizing A:
\(\frac{x^5(x^6-4)}{x^5(x^{-5}+1)} = \frac{x^5}{1+x^5}(x^3+2)(x^3-2)\)
Please help me I’m desperate
Answer:
The firstStep-by-step explanation:
\(\frac29x+3>4\frac59\\{}\quad-3\quad-3\\\\\frac29x\ >\ 1\frac59\\\div\frac29\quad \, \div\frac29\\\\x>1\frac59\div\frac29\\\\x>\frac{14}9\times\frac92\\\\x>\frac{7}1\times\frac11\\\\x>7\)
That means every x wich is greater than 7
you go to a store to buy clothes. shirt cost 10.25$ each and pants cost $17 each. let x equal the number of shirts and y equal the number of pants you buy. you can only spend up tp $50 at the store.
Answer:
10.25x+17y ≥ 50
Step-by-step explanation:
10.25x is how much shirts you can buy
17y is how much pants you can buy
50 is the total money you can spend
HOPE THIS HELPED!
The inequality that represents the situation is 10.25x + 17y ≤ 50.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
You go to a store to buy clothes.
The shirt cost 10.25$ each and the pants cost $17 each.
Let x equal the number of shirts and y equal the number of pants you buy. you can only spend up to $50 at the store.
That means,
10.25x + 17y ≤ 50
Therefore, the inequality is 10.25x + 17y ≤ 50.
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How many screeches are equal to 20 meows? 20 meows = 12 laughs 3 laughs = 2 purrs 40 purrs = 120 screeches
Answer:
24 screeches
Step-by-step explanation:
20M=12L=8P=24S
A baseball team plays the same opponent six times in a season. The set {0,1,2,3,4,5,6} describes the possible number of wins for the six games.
Set A contains the number of wins when exactly four games are won.
Set B contains the number of wins when at least four games are won.
Which of these statements are true? Choose all that are correct.
The union of set A and B is an empty set
The complement of the union of set A and B is {0,1,2,3} set A
The complement of set B is {0,1,2,3}
The intersection of set A and set B is an empty set
The complement of set B is {1,2,3}
Mason has 22 cookies. He eats 2 of his cookies. Then Mason gives an equal 1
number of cookies to 5 of his friends. How many cookies does each of
Mason's friends receive?
Your answer
Answer:
he starts with 22 eats 2
22-2=20
he can give each friend 4 cookies because 4*5 is 20
Find m∠G.
In the following image shown below
Applying the exterior angle of a triangle theorem, m∠G = 40°.
How to Apply the Exterior Angle Theorem of a Triangle?According to the exterior angle theorem of a triangle, we have the following equation that is derived:
11x - 4 + 55 = 23x + 3
11x + 51 = 23x + 3
11x - 23x = -51 + 3
-12x = -48
-12x/-12 = -48/-12
x = 4
m∠G = 11x - 4 = 11(4) - 4
m∠G = 40°
Thus, applying the exterior angle of a triangle theorem, m∠G = 40°.
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WILL GIVE BRAINLIEST! Find the equation of a line that passes through (-5,-2) and the intersection of the lines x+3y=0 and 4x-4y-13=0
Answer:
y + 2 = -0.069(x-+5)
Step-by-step explanation:
SInce the two lines intersects, we will equate it
Multiply x + 3y = 0 by 4;
4x + 12y = 0
4x-4y-13 = 0,
Subtracts both
12y +4y + 13 = 0
16y = 13
y = 13/16
get x;
x + 3(13/16) = 0
x = -39/16
The point of intersection is (0.8, -2.4) and (-5,-2)
Get the equation;
m = y2-y1/x2-x1
m = -2+2.4/-5-0.8
m = 0.4/-5.8
m = -0.069
Get the equation;
y - y0 = m(x-x0)
y - (-2)= -0.069(x-(-5))
y + 2 = -0.069(x-+5)
please i need help fast!!!
Answer:c
Step-by-step explanation:
It typically takes Mr. Dunn 20 minutes to get to school, but it took him 40% longer today. How long did it take Mr. Dunn to get to school today?
EXPLAIN THE ANSWER
Answer:
28 minutes
Step-by-step explanation:
40 percent is 0.4 and 100 percent is 1. Since you have the full 100% of 20 plus the increase of 40% you have to multiply by 20 by 1.4
1.4*20 = 28
The following assign labels for certain contents in the format of label : content. Input only the label associated with the correct content into each of the boxes:
i. Range (A)
ii. Null (A)
iii. Row (A)
iv. Null (A)
The equation Ax=b has a solution only when b is in____ it has a unique solution only when____ contains only the zero vector.
The equation ATy=d has a solution only when d is in___ it has a unique solution only when ____contains only the zero vector. Assume the size of A is m×n.
Assume the size of A is m x n then
when Ax=b has a unique solution, the space____ must be equal to Rn
Hint: any null vector of A must be orthogonal to the rows of A, and the null vector can only be a zero vector when the solution is unique
when ATy=d has a unique solution, the space___ must be equal to Rm Hint: any null vector of AT must be orthogonal to the rows of AT, and the null vector can only be a zero vector when the solution is unique.
i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.
ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.
iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.
iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.
The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.
The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.
Assuming the size of A is m × n:
When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.
When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.
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