6) Evaluate 4x if x = -1/4
Answer: -1
Step-by-step explanation:
Evaluate 4x if x = -1/4
4(-1/4) = -1
Answer: -1
Step-by-step explanation:
4x and x = -1/4
plug x into the expression
\(4(-\frac{1}{4} )\)
simplifies to:
\(-\frac{4}{4}\)
4 divided by 4 is just 1, but it is negative so your final answer is
-1
Find the slope from the table.
Answer:
m=0
Step-by-step explanation:
the slope is calculated using two points on the line and the formula
m = (y2 - y1) ÷ (x2 - x1)
where
x1 and y1 are the coordinates of point 1
x2 and y2 are the coordinates of point 2
for example, you can take
point 1 = (x1;y1) = (-2;3)
point 2 = (x2;y2) = (-1;3)
then your slope is
m = (3 - 3) ÷ (-1 - (-2)) = 0
notice that x1 is always at the left of x2 on the x axis
and it makes sense that your slope is 0 because for each x your y is the same
What is 3/4 divided by 1/2
2/3
1
1 1/4
1 1/2
3
the question is in the picture, pls help quick
Answer:
please search it up bc i dont know the answer
Step-by-step explanation:
Ryan is riding a bicycle whose wheels are 28 inches in diameter. If the wheels rotate at 130 rpm, find the angular speed in radians per second in which he is traveling.
The angular speed in radians per second in which he is traveling is 60.2pi inch/sec.
What is the relation of speed and distance?
Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.
The speed formula is speed = distance / time.
Given that;
The diameter of bicycle wheel= 28inches
Rpm of wheel = 130rpm
Now,
Angular speed ω = 2pi*N/60 radian per second.
=2*pi*130/60
=260pi/60
=4.3pi radian per second
Speed of bicycle V = r*ω
V=14*4.3pi
V=60.2pi inch/sec
Therefore, the angular speed of ryan by the data is 60.2pi inch/sec.
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Does anyone know how to solve this with steps?
Find the savings plan balance after 19 months with an APR of 11% and monthly payments of $250.
To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.
The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.
The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.
$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:
$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow
A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow
A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$
Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).
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Find the x- and y-intercepts of the equation 7x + 14y = 28.
Answer: The x-intercept is 4 and the y-intercept is 2.
Step-by-step explanation:
The x is intercept is when y is 0 and the y intercept is when x is 0.So using this information you can put in 0 for x and another 0 for y and solve for the x and y intercepts.
7(0) + 14y = 28
0 + 14y = 28
14y = 28
y = 2
7x + 14(0) = 28
7x + 0 = 28
7x = 28
x = 4
The \(x\)-intercept of the given equation is \(4\) and the \(y\)-intercept is \(2\).
Given:
The equation is:
\(7x+14y=28\)
To find:
The \(x\)-intercept and \(y\)-intercept of the given equation.
Explanation:
We have,
\(7x+14y=28\) ...(i)
Substitute \(x=0\) in (i) to find the \(y\)-intercept.
\(7(0)+14y=28\)
\(14y=28\)
\(\dfrac{14y}{14}=\dfrac{28}{14}\)
\(y=2\)
Substitute \(y=0\) in (i) to find the \(x\)-intercept.
\(7x+14(0)=28\)
\(7x=28\)
\(\dfrac{7x}{7}=\dfrac{28}{7}\)
\(x=4\)
Therefore, the \(x\)-intercept of the given equation is \(4\) and the \(y\)-intercept is \(2\).
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A rental car company charges an upfront fee to rent a car, and then charges $0.40 per mile driven. Suppose you rent a car from this company. Let (n) represent the varying number of miles that you drive in the car, and let (c) represent the total cost (in dollars) you will have to pay for the rental car.
a. The number of miles driven, n, and the total cost of renting the car, c, are related by a constant rate of change.
What is this constant rate of change?
Answer:
0.40
Step-by-step explanation:
the constant rate of change is given to you in the problem.
The number of miles driven (n) and the total cost of renting the car (c) are related by a constant (k) as follows -
c - \(\frac{2}{5} n\) = k
We have a rental car company charges an upfront fee to rent a car, and then charges $0.40 per mile driven.
We have to determine the constant rate of change through which number of miles driven (n) and the total cost of renting the car (c) are related.
Starting from x, if the bacteria count rises by 5 every second, then determine the formula to calculate the bacteria count after 30 seconds.Initial count = x
Count increasing per second = 5
Assume that the bacteria count after t seconds is y. Then -
y = x + 5t
for t = 30 ↔ y = 150 + x
According to the question, we have -
Charge per mile driven = $0.40
n - represents the varying number of miles that you drive in the car.
c - represent the total cost (in dollars) you will have to pay for the rental car.
Assume that the upfront fee to rent a car is - $k
Total charge for driving 'n' miles after paying the upfront fee - $0.40n
The total cost for driving 'n' miles in a rental car -
c = k + 0.40n
c - \(\frac{2}{5} n\) = k
Where k is a constant and is equal to upfront fee.
Hence, number of miles driven (n) and the total cost of renting the car (c) are related by a constant (k) as follows -
c - \(\frac{2}{5} n\) = k
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If the surface area of the cone below is 628.32 m², find its volume.
I WILL MARK BRAINLEIST IF CORRECT AND 20 POINTS
Answer:
1586.91 m³
Step-by-step explanation:
From the diagram attached,
Applying,
A = πrl.................. Equation 1
Where A = surface area of the cone, l = slight heigth of the cone, π = pie.
make l the subject of the equation,
l = A/πr.............. Equation 2
From the question,
Given: A = 628.32 m², π = 3.14, r = 8 m
Substitite these values into equation 2
l = 628.32/(3.14×8)
l = 25 m
But,
l² = h²+r².................... Equation 3
Where h = height of the cone.
h = √(l²-r²)
h = √(25²-8²)
h = √(625-64)
h = √(561)
h = 23.69 m
Also Applying,
V = 1/3πr²h
Where V = volume of the cone.
Therefore,
V = (3.14×8²×23.69)/3
V = 1586.91 m³
The perimeter and area of a rectangle are 22 cm
and 30 cm² respectively. Find the length and
breadth of the rectangle
The perimeter and area of a rectangle are (5,6) and (6,5).
The perimeter method for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width. when you are given the size of a square form, you may simply plug within the values of L and W into the formula that allows you to clear up for the fringe.
A perimeter is a closed course that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional period. The perimeter of a circle or an ellipse is known as its circumference. Calculating the perimeter has several practical programs.
The perimeter P of a rectangle is given by means of the method, P=2l+2w, in which l is the period and w is the width of the rectangle. The place A of a rectangle is given with the aid of the components, A=lw, wherein l is the length and w is the width.
The perimeter of the rectangle:
P=2l+2w=22
divide 2 into both sides
l+w=11 -------------> (1)
w=11-l
Area of the rectangle:
l*w=30
l(11-l)=30
11l-l^2-30=0
l^2-11l+30=0
By factor method,
(l-5)(l-6)=0
l=5,6.
Substitute this value in w,
l=5 implies w=6
l=6 implies w=5
There we have two solutions.
The length and breadth of the rectangle is
(5,6) and (6,5).
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Pleaseeeeeeeeeeeee help
Answer:
Step-by-step explanation:
i cant see good
Answer:
I think it would be commutative property
Step-by-step explanation:
the commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The commutative property only works with addition and multiplication.
1 Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)
Answer:
Step-by-step explanation:
Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)
15. The solutions to (x+4)2 - 2 = 7 are
1) -4+ 5
3) -1 and -7
2) 4+ 5
4) 1 and 7
I
Answer:
Step-by-step explanation:
(x + 4)^2 - 2 = 7 simplifies to
(x + 4)^2 = 5
We must isolate x. To do this, take the square root of both sides, obtaining:
x + 4 = ±√5
There are two roots/solutions. They are:
x = -4 + √5 and x = -4 - √5
You must include the square root operator (√). Use " ^ " to denote exponentiation.
The solutions to the given equation (x + 4)² - 2 = 7 when calculated are; 1 and 7
How to Solve Algebra Problems?We are given the equation as;
(x + 4)² - 2 = 7
Add 2 to both sides to get;
(x + 4)² = 9
Find the square root of both sides to get;
x + 4 = ±3
Thus;
x = 3 + 4 and x = -3 + 4
x = 1 and 7
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math math math math math math math
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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Which expression is equivalent to
1/2 - (-8)
Choose 1 answer:
Answer:
1/2 + 8
Step-by-step explanation:
A negative and a negative multiplied together equal a positive. Paranthesis ( ) is another way for showing multiplication.
-(-) = +
How much would you need to deposit in an account each month in order to have $30,000 in the account in 6 years? Assume the account earns 2% interest.
Answer:
30,000 ÷6=
5,000 a month
Trapezoid ABCD is graphed in a coordinate plane,
What is the area of the trapezoid?
4
3
B
С
16 square units
O 24 square units
32 square units
48 square units
-5 4 3 2 -11
1 2 3 4 5 x
-5
Answer:
24 square units
Step-by-step explanation:
The formula for computing the area of a trapezoid is shown below:
As we know that
Area of a trapezium is
\(= \frac{1}{2} \times h(a+b)\)
where
h = perpendicular height
The a and b = length of the parallel sides.
Now,
h = 2 - -2 = 4 units
a = 5 - -3 = 8 units
b = 3 - -1 = 4 units
Now placing these values to the above formula
So, the area of a trapezoid is
\(= \dfrac{1}{2} \times 4(8+4)\)
\(= 2 \times 12\)
= 24 square units.
Hence we applied the above formula so that the area of trapezoid could come
if x=5, Then which inequality is true?
AXYZ AMNL
X
XY =
33°
Y
LA
12
N
124°
N
8
M
Answer:
8
Step-by-step explanation:
You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.
Corresponding sidesSegment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.
Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.
XY = 8 units
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Write "six times 3 minus 3" as an expression.
Answer:
6(3)-3
Step-by-step explanation:
Answer:
Step-by-step explanation:
6x(−3)
When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip from the movie, Die Hard 3. Characters, John McClane and Zeus Carver, are challenged with getting exactly 4 gallons of water on a scale using only a 5-gallon and 3-gallon container. The clock is ticking, and they only have seconds to spare. Sylvia uses this video clip as?
When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.
A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.
Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.
The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."
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Does anyone know how to do this?
Answer:
A
Step-by-step explanation:
\(\dfrac{f(x)}{g(x)}=\dfrac{x+1}{x^{2}-x}\\f(x) = \dfrac{x+1}{x^{2}-x}*g(x)\\\\\dfrac{2}{x}*\dfrac{x^{2}-x}{x+1}=g(x)\\\\\\\dfrac{2}{x}*\dfrac{x(x-1)}{x+1}=g(x)\\\\\\\dfrac{2(x-1)}{x+1}=g(x)\\\\\\)
please help will mark brainliiest only if corrrect
A tape diagram is a visual representation that looks like a piece of tape and is used to aid in the computation. An equation that can be used to represent the image is 6t=9.
What is a tape diagram?A tape diagram is a visual representation that looks like a piece of tape and is used to aid in the computation of ratios, addition, subtraction, and, most typically, multiplication.
In the given tap diagram, the upper tape contains 6 tapes of length t, while the lower tape contains only one tap of length g.
Now, since the length of the two tapes, the upper one and the lower one are equal. Therefore, the equation to represent the image can be written as,
t + t + t + t + t + t = 9
6t = 9
If the equation is simplified further, it can be written as,
t = 9/6
t = 3
Hence, an equation that can be used to represent the image is 6t=9.
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Please help. I’ll mark you as brainliest if correct!
Answer:
\(\sqrt{-6} \sqrt{-384}=\sqrt{(-6)(-384)}=\sqrt{2304}=48\\ a=48\\b=0\)
or
\(a=-48\\b=0\)
both solutions are correct because root square has two solutions, one positive and one negative.
Answer:
a= -48
b=0
Step-by-step explanation:
\(\sqrt[]{-6} = i\sqrt{6}\)
\(\sqrt{-384} =i\sqrt{384}\)
\((i\sqrt{6} )(i\sqrt{384} )\)
\(i^{2} \sqrt{2304}\)
(-1)(48) = -48
a + bi
a= -48
b= 0
A researcher conducts a double-blind experiment that tests whether a new drug is effective in reducing blood pressure.
During a three-month period the 200 randomly selected people in the treatment group take the new drug while the 200 randomly selected people in the control group take a placebo. The results show that 80 people in the treatment group continue to have high blood pressure, compared to 84 people in the control group.
a) Can we conclude that the drug is effective in reducing blood pressure? Explain your reasoning.
b) What percent of the treatment group continued to have high blood pressure after the three-month period?
Answer:
a) Based on the information provided, it is not possible to conclusively determine whether the new drug is effective in reducing blood pressure. While there is a slightly lower percentage of people in the treatment group who continued to have high blood pressure compared to the control group, the difference is relatively small (4 people out of 200) and may not be statistically significant. Further analysis, such as calculating confidence intervals or conducting hypothesis testing, would be necessary to determine if the difference is statistically significant and if the drug is truly effective in reducing blood pressure.
b) The percentage of the treatment group who continued to have high blood pressure after the three-month period can be calculated by dividing the number of people who still had high blood pressure (80) by the total number of people in the treatment group (200) and multiplying by 100. Thus, the percentage of the treatment group who continued to have high blood pressure is:
(80/200) x 100 = 40%
The joint F.D.P of a bivariate VA (X, Y) is given
per:
a) Find the value of K.
b) Find the marginal F.D.Ps of X and Y
c) X and Y are independent?
Answer:
2
Step-by-step explanation:
ed
How do I solve for x?
Answer:
x = 4.8
Step-by-step explanation:
Since quadrilateral JKLM and PQRS are similar toe ach other, therefore the ratio of their corresponding sides are equal.
Thus:
QP/KJ = PS/JM
Substitute
8/5 = x/3
Cross multiply
5*x = 3*8
5x = 24
x = 24/5
x = 4.8
A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals. What dimensions should
be used so that the enclosed area will be a maximum?
Length is 33.33 feet and width is 25 feet are dimensions should
be used so that the enclosed area will be a maximum.
What is Area of Rectangle?The area of Rectangle is length times of width
Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.
Here, the dimensions of the rectangles are the same.
The width of the two rectangles is W=2W+2W=4W
The length of the two rectangles is L=L+L+L=3L
Because the adjacent side has a common length.
3L+4W=200
3L=200-4W
Divide both sides by 3
L=(200-4W)/3
Let us form an equation using the area of rectangle formula:
A=2LW
=2(200-4W)/3.W
A=400-8W²/3
Let us differentiate to get the area to be maximized dA/dW=0
1/3×(400-8W²)=0
1/3(400-16W)=0
400-16W=0
400=16W
Divide both sides by 16
W=25
The width is 25 feet.
Substitute W value in equation to get L value:
L=200-4×25/3
=200-100/3
=100/3
=33.33
The length is 33.33 feet.
Now let us find the maximum area
A=2LW
=2×33.33×25
=1666.66
Hence, length is 33.33 feet and width is 25 feet are dimensions should
be used so that the enclosed area will be a maximum.
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draW AND LABEL A FIGURE THAT HAS ATLEAST 2 LINES , 2 RAYS
The figure with 2 lines and 2 rays is drawn and labeled and can be seen in the attached picture.
In the question, we are asked to draw and label a figure that has at least 2 lines and 2 rays.
First, we need to note three things:
Line: A line is a collection of points that continues endlessly in two opposing directions. Arrows at both ends are used to imply that it goes on indefinitely.Line Segment: An element of a line with a start point and an endpoint is called a line segment. It has two terminals that serve as indicators of its length.Ray: A ray is a segment of a line with an undefined endpoint but a start point. It has a single starting point with an arrow at the other end, indicating that it continues in that direction indefinitely.Now, we are asked to make a figure with 2 lines (that is, two endless collections of points) and 2 rays (that is, a part of the line with a fixed start point, but no end point).
This can be shown in the attached figure.
In the figure, AB and CD are the two lines, and PQ and XY are the two rays.
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Assume that u⋅v=5, ∥u∥=10, and ∥v∥=7.
What is the value of 3u⋅(9u−9v)?
Answer: 3u⋅(9u−9v) = 285
Step-by-step explanation:
We can start by using the distributive property for the dot product:
3u⋅(9u−9v) = 3u⋅9u - 3u⋅9v
We also know that the dot product of two vectors u and v is u⋅v = ∥u∥∥v∥cos(θ), where θ is the angle between vectors u and v. Therefore,
u⋅v = 5 = 107cos(θ)
So we can write:
cos(θ) = 5/(10*7) = 1/14
Then we can use this value to find the dot product of u and v.
3u⋅9u = 3 * (10^2) = 300
3u⋅9v = 3 * (10)(7)(1/14) = 15
So the final answer is:
3u⋅(9u−9v) = 300 - 15 = 285
Explanation: By using the distributive property and the dot product definition, it was possible to find the dot product of 3u⋅9u and 3u⋅9v. By subtracting the latter from the former, we obtained the final answer of 285.