It's C.
The value is increasing threefold relative to the previous step.
all other function values increase by a fixed amount and are therefore linear
Is the line x = 1 - 2t, y = 2 + 5t, z = -3t parallel to the plane 2x + y - z = 8? Give reasons for your answer.
No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.
To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.
The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).
The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).
To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:
(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4
Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.
The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.
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If the slope of the line is -4, find y when (2,y) and (3,8).
Answer:
y=12
Step-by-step explanation:
8=-4*3 +b
8=-12=b
20=b
y=-4x=20
-4*2 is -8+20 is 12
(2,12)
Find the multiplicative inverse of −1 x -3/10.
Step-by-step explanation:
-1 × -3/10
=> 3/10
Multiplicative Inverse/Reciprocal of 3/10 = 10/3
if i have a 100.91 as my grade and let's just say i would get a 0/100 what would be my grade?
For every two-dimensional set C contained in R^2 for which the integral exists, let Q(C)=∬c(x^2+y^2dxdy)
If C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1} C2 ={(x,y):−1≤x≤1,−1≤y≤1} and C3 = {(x,y):x^2 + y^2 ≤1}, find Q (C1), Q(C2), Q (C3)
The values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.
The concept of the integral is a fundamental part of calculus and it is used to calculate the area under a curve or the volume of a 3-dimensional object. In this context, we will be exploring the integral of a two-dimensional set in the R^2 plane.
For every two-dimensional set C contained in R^2 for which the integral exists, the function Q(C) is defined as the double integral of the function (x^2 + y^2) over the set C. The double integral is a mathematical tool for finding the total volume under a surface.
Let's consider the three sets C1, C2, and C3 and find Q(C1), Q(C2), and Q(C3).
C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1}
Q(C1) = ∬C1 (x^2 + y^2) dxdy = ∫^1_{-1}∫^1_{-1} (x^2 + y^2) dxdy = ∫^1_{-1} [(x^2 + y^2)/2]^1_{-1} dx = 4.
C2 ={(x,y):−1≤x≤1,−1≤y≤1}
Q(C2) = Q(C1) = 4.
C3 = {(x,y):x^2 + y^2 ≤1}
Q(C3) = ∬C3 (x^2 + y^2) dxdy = π.
In conclusion, the values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.
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You own a stock portfolio invested 15 percent in stock q, 25 percent in stock r, 40 percent in stock s, and 20 percent in stock t. The betas for these four stocks are. 75,. 87, 1. 26, and 1. 76, respectively. What is the portfolio beta?.
The portfolio beta can be calculated by weighting the individual betas of each stock by their respective percentages in the portfolio. In this case, the portfolio beta is 1.185.
To calculate the portfolio beta, we need to use the weighted average of the individual stock betas. The formula for calculating the portfolio beta is as follows:
Portfolio Beta = (Weight of Stock q * Beta of Stock q) + (Weight of Stock r * Beta of Stock r) + (Weight of Stock s * Beta of Stock s) + (Weight of Stock t * Beta of Stock t)
Given that the weights of the stocks in the portfolio are 15%, 25%, 40%, and 20%, and the betas of the stocks are 0.75, 0.87, 1.26, and 1.76 respectively, we can substitute these values into the formula:
Portfolio Beta = (0.15 * 0.75) + (0.25 * 0.87) + (0.40 * 1.26) + (0.20 * 1.76)
= 0.1125 + 0.2175 + 0.504 + 0.352
= 1.185
Therefore, the portfolio beta is 1.185.
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A person accepts a position with a company at a salary of \( \$ 34,000 \) for the frat year, The person is guaranteed a raise of \( \$ 1850 \) per year for the first 6 years. Determine the person's to
The person's total salary over the first 6 years is $231,750.
To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.
Given information:
- Initial salary: $34,000
- Annual raise: $1,850
- Number of years: 6
To calculate the total salary, we can use the arithmetic progression formula:
[ S = frac{n}{2} left(2a + (n - 1)dright) ]
Where:
- ( S ) is the sum of the salaries
- ( n ) is the number of terms (years)
- ( a ) is the first term (initial salary)
- ( d ) is the common difference (annual raise)
Substituting the given values, we have:
[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]
Simplifying the expression:
[ S = 3 left( 68000 + 5 times 1850 right) ]
[ S = 3 left( 68000 + 9250 right) ]
[ S = 3 times 77250 ]
[ S = 231750 ]
Therefore, the person's total salary over the first 6 years is $231,750.
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How would you write 8 TIMES A NUMBER as an algebraic expression ?
Answer:
8x
Step-by-step explanation:
8= the times multiply and "x" being the # being multiply
Answer:
8x - y
Step-by-step explanation:
8 times a number (x) is 8 times x = 8x
decreasing by y means take away y... but u should know that right?
lol hope this helps :)
brainliest?
What is the volume of the sphere? Around you answer to the nearest whole number.
Step-by-step explanation:
Diameter=10cm
Radius=Diameter/2=10/2=5cm
Now
\(\boxed{\sf Volume\:of\: Sphere=\dfrac{4}{3}\pi r^3}\)
\(\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{4}{3}\times \dfrac{22}{7}\times 5^3\)
\(\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{88}{21}\times 125\)
\(\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{11000}{21}\)
\(\\ \tt{:}\leadsto Volume_{(Sphere)}=523.8\)
\(\\ \tt{:}\leadsto Volume_{(Sphere)}=524units^3(Approx)\)
calculate the volume of water in the ocean in liters
The volume of water in the ocean is estimated to be approximately 1,332,000,000,000,000,000 liters.
The Earth's oceans cover about 71% of the planet's surface and contain a vast amount of water. To calculate the volume of water in the ocean, we need to consider the average depth and the total surface area of the oceans.
The average depth of the ocean is estimated to be around 3,800 meters. The total surface area of the oceans is approximately 361,900,000 square kilometers. By multiplying the average depth by the surface area, we can find the volume of water.
Volume = Average Depth × Surface Area
Using the given values, we have:
Volume = 3,800 meters × 361,900,000 square kilometers
To convert this volume to liters, we need to consider that 1 cubic meter is equal to 1,000 liters. Therefore, we can multiply the volume in cubic meters by 1,000 to obtain the volume in liters.
Calculating the above expression, we find that the volume of water in the ocean is approximately 1,332,000,000,000,000,000 liters. This is an estimation and may vary slightly depending on the sources and assumptions used for average depth and surface area calculations.
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Please answer for 20 points ASAP!!! Thanks a lot!!!!!
Answer:
20
Step-by-step explanation:
Since V is the midpoint of UW, that makes UV = VW.
Also UW = 2(UV) and UW = 2(VW).
UW = 2(UV)
16x + 4 = 2(10x)
16x + 4 = 20x
-4x = -4
x = 1
UW = 16x + 4 = 16(1) 4 = 20
Each lap around the track at Lincoln Community Center is 400 meters long. Levi ran a total of 1,600 meters as a warm-up before his workout. Let w be the number of laps Levi ran around the track as a warm-up. Write and solve an equation to find w.
Answer:
Step-by-step explanation:
The solution is 4 laps
The number of laps ran by Levi is given by the equation w = 4 laps
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of laps ran by Levi be represented as w
Now , the equation will be
The total length of a lap = 400 m
The total length ran by Levi = 1600 m
So ,
The number of laps w ran by Levi = total length ran by Levi / total length of a lap
Substituting the values in the equation , we get
The number of laps ran by Levi w = 1600 / 400
On simplifying the equation , we get
The number of laps ran by Levi w = 4 laps
Therefore , the value of w is 4 laps
Hence , the number of laps is 4 laps
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The map shows the location of the mall, library, and school in the city; Brittany travels from the school to the mall and then from the mall to the library. Alice traveled directly from the school to the library. How many more miles to Britney travel than Alice? A. 8 miles B. 9 miles C. 10 miles D. 12 miles
Answer:A) 8 miles
Step-by-step explanation:
8 miles
What is a 3 variable equation called?
Equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables.
what is linear equation ?A linear equation is one that has the form y=mx+b in algebra. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables if all four variables—a, b, c, and r—are real values and not equal to 0.
(The x, y, and z are the "three variables"). The coefficients of the equation are designated by the numerals a, b, and c.
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4. In a survey, 125 people were asked if they have a dog and if they have played frisbee at least once in the past
month. Using the results shown in the Venn Diagram below, which of the following is closest to the
probability that a person played frisbee given that they do not have a dog?
(1) 0.297
(2) 0.317
(3) 0.463
(4) 0.506
The closest option which depicts the probability that a person played frisbee given that they do not have a dog is (Option A) 0.297. However, the actual answer is 0.152.
What is the calculation showing the above?
According to the Venn Diagram, the total number of persons who played frisbee given that they do not have a dog is 19.
Since the total number of persons in the sample is 125, hence
The probability that a person played frisbee given that they do not have a dog is 19/125
= 0.152.
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Given a rectangular wave below, obtain the value of the coefficient of the 1st harmonic of its Fourier series. if Vp = 4.0, -Vp = -2.1 and period T = 3. -Vp T/2 T
The value of the coefficient of the 1st harmonic of the Fourier series for the given rectangular wave can be determined using the provided information.
The coefficient represents the amplitude of the first harmonic component in the Fourier series. In this case, the rectangular wave has a peak voltage (Vp) of 4.0 and a negative peak voltage (-Vp) of -2.1, with a period (T) of 3.
To find the coefficient of the 1st harmonic, we need to consider the relationship between the harmonic amplitudes and the peak voltage of the waveform. For a rectangular wave, the amplitude of the nth harmonic is given by (4/πn) times the peak voltage. Since we are interested in the 1st harmonic, the coefficient can be calculated as (4/π) times Vp.
Using the given values, the coefficient of the 1st harmonic is determined as follows:
\(\[\text{Coefficient of 1st harmonic} = \frac{4}{\pi} \times Vp = \frac{4}{\pi} \times 4.0 \approx 5.09.\]\)
Therefore, the coefficient of the 1st harmonic of the Fourier series for the given rectangular wave is approximately 5.09. This coefficient indicates the amplitude of the fundamental frequency component in the waveform's Fourier series representation.
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70√201 please give me your answer
Answer:
992.42
Step-by-step explanation:
two cars start from the same point p and travel along seperate straight highways. if these 2 highways originate at p forming an angle of 80 degrees, how many miles apart are the two cars after each has traveled 110 miles?
Answer:
141 miles
Step-by-step explanation:
We can visualize this as a triangle with two sides of 110 miles and an included angle of 80°.
Using the Law of Cosines, the third side is
\(\sqrt{110^2+110^2-(2)(110)(110)(\cos 80^{\circ})} \approx 141\)
What is the sign of 4.3•(-3.2)•0?
Answer:
no sign (not positive or negative)
Step-by-step explanation:
The value of the expression
4.3 ⋅ (-3.2) ⋅ 0
is 0, as the value of any number multiplied by zero is 0.
The number zero is neither positive or negative; hence there is no sign.
a motorist buys a 5litre can of gear oil.she uses 800ml.what percentage of oil has she used and what remains
Step-by-step explanation:
1000ml=1 litre
800 divided by(1000 multiplied by 5)=16%
A construction company has adjoined a 1900 ft2 rectangular enclosure to its office building. Three sides of the enclosure are fenced in. The side of the building adjacent to the enclosure is 190 ft long and a portion of this side is used as the fourth side of the enclosure. Let x and y be the dimensions of the enclosure, where x is measured parallel to the building, and let L be the length of fencing required for those dimensions.
(a) Find a formula for L in terms of x and y.
L(x,y)=
x+2y
(b) Find a formula that expresses L as a function of x alone.
L(x)=
(c) What is the domain of the function in part (b)? Express as an interval.
Domain =
The 1,900 square feet rectangular area and the dimension of x that is a portion of the 190 feet side of the building gives the function and domain for the length of fencing as follows;
(a) The formula for L in terms of x and y is L(x, y) = x + 2·y
(b) The formula that expresses the length of fencing, L as a function of x alone is presented as follows;
\(L(x) = \dfrac{x^2+3800}{x}\)
(c) The domain of L(x) is; (0, 190)
What is a function in mathematics?A function is a rule or law that gives the value of one variable (the output variable) as a function of another variable (the input variable).
The given parameter are;
The area of the enclosure = 1,900 ft²
The length of the side of the building adjacent to the enclosure = 190 ft
The fourth side of the enclosure = A portion of the 190 ft side of the building
The dimension of the enclosure = x and y
The length of the fencing = L
(a) The formula for the length of the fencing, L, in terms of x and y is found as follows;
The number of sides of the fencing = 3 (2 sides of length y and one side of length x)
The length of the fencing in terms of x and y is therefore;
L(x, y) = 2·y + x
(b) The shape of the enclosure = A rectangle
The area of a rectangle = Length × Width
Taking the length of the enclosure as the side y and the width of the enclosure as the side x, gives;
The area of the enclosure, A = 1,900 = x × y
\(\therefore y = \dfrac{1900}{x}\)
The length of the enclosure in terms of x alone, obtained by plugging in the value of y above, is therefore;
\(L(x) =2\cdot y + x = 2\cdot \left(\dfrac{1900}{x} \right)+ x = \dfrac{x^2+3800}{x}\)
(c) The domain of the function L(x) is found as follows;
Given that a portion of the side of the building that is 190 feet long is used as the fourth side and x is the dimension of the side of the rectangular enclosure parallel to the building, therefore; x < 190
From the function for L(x), x ≠ 0, therefore, x > 0
The domain for the function for the length of fencing, F(x), which is the set of possible x-values is therefore;
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In this polygon, all angles are right angles.
What is the area of the polygon? Show your work.
The area of the polygon is solved to be 1044 squared cm
How to find the are of the c]polygonThe area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas
Section 1 has dimensions:
length * width = 46 * 14 = 644
section 2 has dimensions:
length = 46 - 21 = 25
width = 30 - 14 = 16
Area = 25 * 16 = 400
Area of the composite figure
section 1 + section 2
= 644 + 400
= 1044 squared cm
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Need help with this geometry assignment due soon smart people and mark Brainly
Answer:
1. a + b + c = 180
2. b + d = 180
3. d = a + c
Step-by-step explanation:
1. a + b + c = 180:
Angles in a triangle add up to 180
2. b + d = 180:
Angles in a straight line equal 180 because they are supplementary angles
3. d = a + c:
ΔACD is an exterior angle, and ΔACB is interior adjacent, hence ∠a and ∠c add up to ∠d
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
1) a+b+c=180 because if you take two right angle triangles and put them together you'll make a rectangle and thats 360, so half of the 360 is 180 which equals the two right triangles.
2) b and d are supplementary angles so if you add b and d they should equal 180, which is the measure of a straight line.
3) if you add c+a it should always equal d.
Kendra has $7. 35 in her purse. She needs at least $2. 87 more to buy a special bead. What is the total amount, x, she needs for the bead? Which inequalities can be used to represent the situation?
Kendra needs to have at least $7.35 in her purse and needs to accumulate at least $2.87 more to shop for the special bead.
To discover the total amount Kendra needs to shop for the special bead, we add the amount she already has in her purse to the amount she needs to shop for the bead:
x = $7.35 + $2.87
x = $10.22
Thus, Kendra needs a total of $10.22 to shop for the special bead.
To represent the scenario as inequalities, we can use the subsequent:
Let y be the amount Kendra wishes to buy the unique bead, then:
Kendra has at least $7.35: y + $7.35 ≥ y
Kendra needs at the least $2.87 more: y + $2.87 ≤ x
Combining these inequalities, we get:
y + $7.35 ≥ y
y + $2.87 ≤ x
Therefore, Kendra needs to have at least $7.35 in her purse and needs to accumulate at least $2.87 more to shop for the special bead.
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Translate this sentence into an equation. A number b divided by three is equal to six less than c.
Please help
Answer:
B / 3 = 6 < 3
hope I helped.
Matilda has 16 3/4 hours to finish three consulting projects.how much time may she spend on each project ,if she plans to spend the same amount of time on each?
Time taken by Matilda on each project is \(5\frac{7}{12}\) hours.
According to the question we have been given that,
Total time taken by Matilda to complete the consulting projects = \(16\frac{3}{4}\) hours
First we will convert it into simple fraction which is
\(16\frac{3}{4} = \frac{67}{4} \\\) hours
Number of consulting projects = 3
And Matilda spends same amount of time to each of the project.
To find the time she spend on each project is by using unitary method
that is, 3 projects = \(\frac{67}{4}\) hours
1 project = \(\frac{67}{4} / 3\)
= 67/12
= \(5\frac{7}{12}\) hours
Hence time taken by Matilda on each project is \(5\frac{7}{12}\) hours.
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Amanda wanted to buy a new baseball glove. The glove was priced $ 62.00 on Monday and $ 46.36 on Saturday. Approximately what percent did Amanda save if she bought the glove on Saturday?
Answer:
25.2%
Step-by-step explanation:
Step one:
given data
The glove was priced $ 62.00 on Monday
and $ 46.36 on Saturday
We can see that there was a price reduction
Required
The percentage reduction in price
Step two:
Percent reduction = change in price/old price *100
Percent reduction = 62-46.36/62 *100
Percent reduction = 15.64/62 *100
Percent reduction = 0.252 *100
Percent reduction = 25.2%
Write an example from daily life that uses each type of real number.
rational numbers
Write an example from daily life that uses rational numbers .
Real numbers that may be expressed as p/q, where p, q are integers, and q 0, are rational numbers. The money we have is a rational number. If we spend some sum out of it, it is subtraction of rational number.The running race involves rational numbers if you're an athlete.Rational numbers include the following:the distance runthe time needed to complete the distance,the number of competitors placing first, second, or thirdthe number of heartbeats you take per minute.We use fractions to represent taxes.If you split a pizza or any other food.When you finish a piece of your work, you indicate that you have done half, or 50%.Loan and mortgage interest rates.Savings account interest.To learn more about rational numbers, refer:
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help pls. no links. and thx ill give branilest if u want it
The total surface area of the block is 32.6 square inches.
Given that, Jake has a block shaped like the prism shown in a set of toys.
What the surface area of a prism?To find the surface area of any kind of prism we use the general formula. The total surface area of a prism is the sum of lateral surface area and area of two flat bases.
The total surface area of a prism = (2 × Base Area) + (Base perimeter × L).
Here, area = 2 ×1/2×2×2.3 +(2+2.5+2.5)×4
= 4.6+28
= 32.6 square inches
Therefore, the total surface area of the block is 32.6 square inches.
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(True or false )
4328.418 rounded to 2 significant figures is 4328.42
21.87954 rounded to 3 decimal places is 21.88
7.568499 rounded to 3 decimal places is 7.568
0.004122 rounded to 4 significant figures is 0.004
Answer:
1) false, it's 4300
2) false, it's 21.880
3) true
4) false, it's 0.004122
\({\sf{4328.418\: rounded \:to \:2 \:significant \:figures \:is \:4328.42\:\::{{\Red{False}}}\)
\({\sf{21.87954\:rounded\: to \:3 \:decimal\: places \:is \:21.88\:\::{{\Green{True}}}\)
\({\sf{7.568499\: rounded \:to \:3 \:decimal \:places\: is \:7.568\:\::{{\Green{True}}}\)
\({\sf{0.004122 \:rounded \:to\: 4 \:significant\: figures \:is \:0.004\:\::{{\Green{True}}}\)