Answer:
d
Step-by-step explanation:
In all the answer choices, the distance between 0 and 1 is 10.
4/10 = 0.4
The only line that proves this is line d.
Hope this helps!
Answer:
D.
Step-by-step explanation:
The number lines goes by the scale of 0.1 per each line, meaning that if the dot is one line after 0, then the dot is 0.1. This can be interpreted by counting the number of lines from one number to another.
A. is 0.5
B. is 0.7
C. is 0.6
D. is 0.4
So, the correct answer is D.
The graph of f(x) is the solid black graph below. Which function represents the
dotted graph?
Answer: The answer is y= f(x+1)+5
Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.
Cost of a shirt: $14.95
Discount: 45%
Tax: 6%
What is the new cost?
Answer:
$10.28
Step-by-step explanation:
simplify 5 to the second power and 5 to the ninth power
We can simplify 5 to the second power and 5 to the ninth power as follows:
5² = 25
5⁹ = 1, 953, 125
How to simplify the expressionTo simplify the expression, we will first raise 5 to the power of 2 by multiplying it in two places. This gives us:
5² = 5 * 5
= 25
Also, for the second expression, we can simplify by raising 5 to the power of 9 to get
5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 = 1, 953, 125
So, the best way to simplify the expressions will be by multiplying 5 by as many times as its power specifies.
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A bus heading to Belfast leaves Antrim every 36 minutes.A bus heading to Ballymena leaves Antrim every 45 minutes. At 10am bus to Belfat and abus to Ballymena both leave Antrim Bus Station.Work out the next time that both buses leave at the same time.
Answer:
1 PM
Step-by-step explanation:
Find the least common multiple of 36 and 45 to get the next time they are equal
Factorize
36 = 2 * 2 * 3 * 3
45 = 3 * 3 * 5
Multiply for LCM
LCM(36, 45) = 2 * 2 * 3 * 3 * 5 = 180 minutes = 3 hours
Add 3 hours to 10 AM
10 AM + 3 hours = 1 PM
use the midpoint rule with the given value of n to approximate the integral. round the answer to four decimal places. 8 sin akar (x) dx, n = 4 .
The approximate value of the integral using the midpoint rule with n=4 is 5.8571 (rounded to four decimal places).
What is midpoint rule?The area under a simple curve can be roughly estimated using the midpoint rule, commonly referred to as the rectangle method or mid-ordinate rule. The midpoint approach provides a better approximation than the left rectangle or right rectangle sum, which are two other ways for approximating the area.
We need to use the midpoint rule with n=4 to approximate the integral of 8 sin(√(x)) dx.
The midpoint rule formula for approximating a definite integral is:
∫[a,b] f(x) dx ≈ Δx [f(x1/2) + f(x3/2) + ... + f(x(n-1/2))]
where Δx = (b-a) / n is the width of each subinterval, and xi/2 = (xi-1 + xi) / 2 is the midpoint of the i-th subinterval.
For n=4, we have Δx = (b-a) / n = (1-0) / 4 = 0.25, and the endpoints of the subintervals are:
x₀ = 0, x₁ = 0.25, x₂ = 0.5, x₃ = 0.75, x₄ = 1
The midpoints of the subintervals are:
x1/2 = 0.125, x3/2 = 0.375, x5/2 = 0.625, x7/2 = 0.875
Now we can apply the midpoint rule formula:
∫[0,1] 8 sin(√(x)) dx ≈ Δx [f(x1/2) + f(x3/2) + f(x5/2) + f(x7/2)]
where f(x) = 8 sin(√(x)).
Plugging in the values, we get:
∫[0,1] 8 sin(√(x)) dx ≈ 0.25 [f(0.125) + f(0.375) + f(0.625) + f(0.875)]
Using a calculator, we can evaluate each term and sum them up:
f(0.125) ≈ 2.4774
f(0.375) ≈ 5.6382
f(0.625) ≈ 6.8171
f(0.875) ≈ 5.4946
∫[0,1] 8 sin(√(x)) dx ≈ 0.25 [2.4774 + 5.6382 + 6.8171 + 5.4946] ≈ 5.8571
Therefore, the approximate value of the integral using the midpoint rule with n=4 is 5.8571 (rounded to four decimal places).
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1
Select the correct answer
One solution to a quadratic function, , is given below.
Which of the following statements is true about the given function?
The other solution to function fis-VT + 51-
Function fhas no other solutions.
The other solution to function fis - V7 – 5i
D. The other solution to function fisvī - 51-
Answer:
the answer is d the other solution to function fisvī-51
The other solution to function f is √7 - 5i.
The correct option is (2).
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Since the function is quadratic, it has two solutions.
The complex roots come in pairs.
If one solution is √7 + 5i,
then the other solution must be the conjugate of √7 + 5i, which is √7 - 5i.
Therefore, the correct statement is:
The other solution to function f is √7 - 5i.
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One solution to a quadratic function, f, is given below.
√7 + 5i
Which of the following statements is true about the given function?
1) The other solution to function f is -√7 + 5i.
2) The other solution to function f is √7 - 5i.
3) Function f has no other solutions.
4) The other solution to function f is -√7 - 5i.
Maritza is a gym owner who wants to offer a full schedule of yoga
and circuit training classes. Yoga classes are 1.5 hours long, while
circuit training classes are only 1 hour, and he wants at least 25
hours of classes on the schedule each week. All of her instructors are
paid $35 per class, but Maritza doesn't want to spend more than
$1,000 per week on
salaries.
Answer: ig the equations would be 1.5x+1y>25 and 35x+35y>1000 (the < symbols also have _ at the bottom, i couldn’t figure out how to include it)
Step-by-step explanation: this is middle school, not high school
The required inequalities for the given gym are 1.5x + y ≥ 25 and 35(x + y) ≤ 1000.
What is an inequality?"Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values."
Let, there are 'x' yoga classes and 'y' circuit training classes per week.
Total hours of yoga class per week in the schedule is
= 1.5 × x hours
= 1.5x hours
Again, total hours of circuit training class per week in the schedule is
= 1 × y hours
= y hours
Therefore, the required inequality:
1.5x + y ≥ 25
Similarly, total payment of yoga class per week is
= $35 × x
= $35x
total payment of circuit training class per week is
= $35 × y
= $35y
Therefore, the required inequality is:
35x + 35y ≤ 1000
⇒ 35(x + y) ≤ 1000
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A total of 250 people were surveyed about whether or not each person carries a cell phone. The results are shown below in the relative frequency table.
Total
Female
Male
Total
Carries
Cell
Phone
0.42
0.30
0.72
Does Not
Carry Cell
Phone
0.16
0.12
0.28
0.58
0.42
1.00
Which statement is correct?
o 70 people carry cell phones.
O 105 males carry cell phones.
o 145 females carry cell phones.
180 people total carry cell phones.
Answer:
180 people carry cell phone
Step-by-step explanation:
each number is a percentage so you can figure out all the percentages of the bottom and right
0.72 carry cell phone
180 carry cell phone
0.28 dont carry cell phone
70 people dont carry cell phone
0.58 are female
145 are female
0.42 are male
105 are male
therefore that leaves the 180 people carry cell phone
Compute the directional Gervative of the following function at the given point in the direction of the given vector Be sure to use a un vector for the direction vector exy - x - 2y. Px^2-21 √5 75 2 Fin
To compute the directional Gervative of the function f(x,y) = exy - x - 2y at the point P = (2,-1) in the direction of the vector v = , we first need to find the gradient of f at P.
The gradient of f is given by ∇f(x,y) = . So, at the point P = (2,-1), we have ∇f(2,-1) = .
Next, we need to find the unit vector in the direction of v. To do this, we first need to find the magnitude of v, which is ||v|| = √(e^2 + (-2)^2) = √(e^2 + 4).
Then, we can find the unit vector in the direction of v by dividing v by its magnitude:
u = v/||v|| = .
Finally, we can compute the directional Gervative of f at P in the direction of v as follows:
D_v f(2,-1) = ∇f(2,-1) · u = ( · )
= (e^-1 - 1)(e/√(e^2 + 4)) + (e^2 - 2)(-2/√(e^2 + 4))
= -2e/(√(e^2 + 4)) - 4/(√(e^2 + 4))
= (-2e - 4)/(√(e^2 + 4)).
Therefore, the directional Gervative of f at P in the direction of v is (-2e - 4)/(√(e^2 + 4)).
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Is -4pi a rational number
Answer:
no
Step-by-step explanation:
Pi is irrational
Answer:
No it is a irrational number
Step-by-step explanation:
-4pi is not a whole number, integer number, or a rational number. It is only a irrational number.
Find the measure of each number:
Step-by-step explanation:
11. angles 1 and 2 are vertical angles, meaning they are congruent.
angle 2=angle 1=38 degrees
14. angles 1 and 2 are supplementary angles, meaning they add to 180 degrees.
angle 1=180-angle 2=180-67=113 degrees
$50 $10 $400 what do I do?
Answer: The answer is 40 weeks
Step-by-step explanation: Just divide the amount of money Nick is putting in each week which is $10, by 400. Whatever number you get, is how many weeks it would take to get to $400.
Element X decays radioactively with a half life of 5 minutes. If there are 700 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 20 grams?
y = a(.5)
Element X will take 25.6 minutes to decay 20 grams.
What is meaning of half life?
Half-life, in radioactivity, is the amount of time needed for half of a radioactive sample's atomic nuclei to decay (change spontaneously into other nuclear species by emitting particles and energy), or, alternatively, the amount of time needed for a radioactive material's rate of disintegrations per second to decrease by half.
The formula of decay is A(t) = A₀ e^(-λt).
For the half life A(t)/A₀ = 1/2
Putting A(t)/A₀ = 1/2 and t =5 in A(t) = A₀ e^(-λt):
1/2 = e^(-λ×5)
λ = ln2/5
Now putting A(t) = 20, A₀ = 700 and λ = - ln2/5 in A(t) = A₀ e^(-λt):
20 = 700 e^((t ln2)/5)
t = 25.6
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What is an equation of the line that passes through the points (2, -6)(2,−6) and (-1, 6)(−1,6)?
Answer:
y = -4x + 2
Step-by-step explanation:
To figure out the slope, plug the coordinates in the formula.
y2 - y1 / x2 - x1
= 6 - (-6) / -1 -2
= -4
Now you need to find the y-intercept, take the coordinates and plug them into your equation so far, which is y = -4x + b
y = -4x + b
-6 = -4(2) +b
-6 = -8 + b
2 = b
Which is the simplified form of the expression (602)(99) *•(104)(4??
1
o
О.
p12760
Answer:
\(q^{-30}\)
Step-by-step explanation:
\((p^{2}q^{5})^{-4}\cdot(p^{-4}q^{5})^{-2}\\=p^{-8}q^{-20}\cdot p^{8}q^{-10}\\=p^{-8+8}\cdot q^{-20+-10}\\=q^{-30}\\\)
1. Exercise 6.3 Find the volume of the given combined solids. (a) 15cm 6cm 5cm 6cm 1
The volume of the given combined solids is 675 cm³.
The given combined solid is made up of two solids. A rectangular solid and a triangular prism. The dimensions of the rectangular solid are length, width, and height 15 cm, 6 cm, and 5 cm, respectively, while the triangular prism has a height of 6 cm and a base of 5 cm.
The rectangular solid is placed on the triangular prism such that the rectangular solid's width coincides with the base of the prism's triangle.Find the volume of the given combined solids.
Since the rectangular solid is on top of the triangular prism, we will compute the two volumes separately and then add them together to obtain the combined volume.
Volume of rectangular solid = l × w × h= 15 cm × 6 cm × 5 cm= 450 cm³
Volume of triangular prism= 1/2 × base × height × length= 1/2 × 5 cm × 6 cm × 15 cm= 225 cm³
To get the combined volume, we add the two volumes together:Combined volume= 450 cm³ + 225 cm³= 675
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What is angle ac? Round to the nearest hundredth. HURRY
Answer:
AC = 20°
Step-by-step explanation:
180° (total angle amount of a triangle) - 70° + 90° (right angle) = ac
AC = 20°
Hope this helps!
Work out the circumference of a circle with diameter 1.8 cm.
Take a to be 3.142 and give your answer to 1 decimal place.
Answer:
The answer is
5.6 cmStep-by-step explanation:
Circumference of a circle( C) = πd
where d is the diameter
π = 3.142
From the question
d = 1.8cm
Substitute d = 1.8 into the above formula
Circumference of the circle is
3.142 × 1.8
= 5.6556
We have the final answer as
C = 5.6 cm to one decimal placeHope this helps you
A hovercraft takes off from a platform.
Its height (in meters), x xx seconds after takeoff, is modeled by
h(x)=−(x−11)(x+3) h(x)=−(x−11)(x+3)h, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 11, right parenthesis, left parenthesis, x, plus, 3, right parenthesis
What is the height of the hovercraft at the time of takeoff?
The height at the time of takeoff is 33 meters
How to determine the height at the time of takeoff?The equation of the function is given as
h(x) = -(x - 11)(x + 3)
Where x represents the time after takeoff
This means that the value of x at the point of take off is
x = 0
Substitute the known values in the above equation, so, we have the following representation
h(0) = -(0 - 11)(0 + 3)
Evaluate
h(0) = 33
Hence, the initial height is 33 meters
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he average home attendance per week at a Class AA baseball park varied according to the formula N(t)=1000(6+0.2t)^1/2 where t is the number of weeks into the season (0≤t≤17) and N represents the number of people.
Step 1 of 2 :
What was the attendance during the first week into the season? Round your answer to the nearest whole number.
___ people.
The attendance during the first week into the season was 2449 people.
Given, N(t)=1000(6+0.2t)^1/2
Formula for average home attendance per week at a Class AA baseball park is N(t)=1000(6+0.2t)^1/2, where t is the number of weeks into the season (0 ≤ t ≤ 17) and N represents the number of people.
Step 1:We need to find the attendance during the first week into the season.i.e. when t = 0
Substitute t = 0 in the given formula
N(t)=1000(6+0.2t)^1/2N(0)
=1000(6+0.2(0))^1/2N(0)
=1000(6)^1/2N(0)
=1000(2.449..)N(0)
=2449 (Rounded to nearest whole number)
Hence, the attendance during the first week into the season was 2449 people.
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if the point in the upper left corner of the scatterplot is removed, what will happen to the correlation (r) and the slope of the line of best fit (b)?
The answer is A) i.e. Both will increase.
If the point in the upper left corner of the Explanatory variable versus the Response variable scatterplot is removed, the correlation (r) and the slope of the line of best fit (b) will change.
In a data graph or dataset you're dealing with, an outlier is a data point that is unusually high or unusually low in comparison to the closest data point and the rest of the nearby coexisting values. if the point is an outlier, removing it will increase the correlation (r) and the slope of the line of best fit (b).
Therefore, the answer is A) Both will increase.
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Given question is incomplete, the complete question is below
If the point in the upper left corner of the Explanatory variable versus the Response variable scatterplot shown below is removed, what will happen to the correlation (r) and the slope of the line of best fit (b) ?
Possible answers
A) Both will increase
B) r will increase and b will decrease
C) They will not change
D) r will decrease and b will increase
E) Both will decrease
Tina wrote the equations 3 x minus y = 9 and 4 x + y = 5. What can Tina conclude about the solution to this system of equations?
Answer:
(2, –3) is a solution to the system of linear equations.
Step-by-step explanation:
Given: Equations:
3x - y = 9 --------(1),
4x + y = 5 --------(2),
Add Equation (1) + Equation (2),
3x + 4x = 9 + 5
7x = 14 ( Combine like terms )
x = 2 ( Divide both sides by 7 ),
From equation 1:
3(2) - y = 9
6 - y = 9
-y = 9 - 6 ( Subtraction 6 on both sides )
-y = 3
y = - 3 ( Multiplying -1 on both sides )
2.3 Practice Part
Solve each system using the substitution method
1) y = 4x + 10
y = 3x + 7
Answer:
34
4x+10=14
3x+7=10
10×+4
34
Which is the solution to the inequality?
2 3/5
Will give you Brainiest
Answer:
the third one
Step-by-step explanation:
basically b<47/15 =>
b<3* 2/15
Sort the polygons.
Squares Not squares
Polygons are shapes that have the following:
-sides are all straight
-no overlapping
-shape is always closed
Hope this helps :)
Charlie invests $325 in an account that pays 8% simple interest for 15 years. Use the simple interest formula, I = P ∙ r ∙ t, to answer the following questions. How much interest will Charlie’s initial investment earn over the 15-year period? How much money does Charlie have after the 15 years?
PLZ HELP ASAP
Answer:
390 and 715
Step-by-step explanation:
Answer:
Charlie invests $325 in an account that pays 8% simple interest for 15 years.
Use the simple interest formula, I = P ∙ r ∙ t, to answer the following questions.
How much interest will Charlie’s initial investment earn over the 15-year period?
✔ $390
How much money does Charlie have after the 15 years?
✔ $715
Step-by-step explanation:
Right triangle JKL is shown below.
What is the measure of
nearest degree.
Answer:
Step-by-step explanation:
Hypotenus=6
Adjacent=4
H and A
Cos x degrees= A divided by H
4 divided by 6=0.666666666
cos inverse(0.6666666666666666)
=48.2
=48
line c and d are perpendicular. the slope of line c is -2/3. which equation is true?
The correct expression for the slopes of two perpendicular lines are:
-2/3 . slope of d = -1
Explain about the slope of line:The difference between the change in y-values and the change in x-values is known as the slope of a line. This figure represents the slope of a line.
A quantity called the slope of a line is used to quantify how steep a line is. This number may be zero, positive, or negative. Moreover, it may be unreasonable or rational.
At a 90 degree angle, perpendicular lines collide. There are as many perpendicular lines to a given line as there are parallel lines. Simply said, they will cross the indicated line at various points.Two perpendicular lines' slopes are connected. Each is the reciprocal opposite sign of the other.For the two given perpendicular lines with slope c and d.
slope of c = -2/3
Then,
slope of c . slope of d = - 1
-2/3 . slope of d = - 1
Thus, the correct expression for the slopes of two perpendicular lines are: -2/3 . slope of d = -1
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Answer:
3/2
Step-by-step explanation:
If a line is perpendicular to the other it's slope is the inverse reciprocal of the other slope
What are the slope and y-intercept of the graph of this equation?
y = 2x - 5
Answer:
In this equation, y = 2x - 5, it is already in that form and so the cumber in front of the x is the slope (2) and the constant number is the y-intercept (-5) - it's negative because of the minus sign in front of the number. So, the slope is 2 and the y-intercept is -5.
Step-by-step explanation:
hope this helps! can i pls get brainliest?
PLEASE HELP! this is a 4 part problem but here is the last part :)!!!