Answer
31 7/8
Step-by-step explanation:
12 3/4 x 2 1/2=51/4 x 5/2
B (7,-3)
C (6,-),
A (4,-9)
What is the y-coordinate of point C?
OA A
OB. -5
Oc. -6
OD. -7
Answer:
\(y = -5\)
Step-by-step explanation:
Given
\(B = (7,-3)\)
\(C = (6,y)\)
\(A = (4,-9)\)
Required
The y coordinate of C
Since A, B and C are on the same line, the slope of AB and the slope of AC will be the same.
Slope (m) is calculated as:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
For AC
\(A = (4,-9)\) \(C = (6,y)\)
\(m = \frac{y - -9}{6 - 4}\)
\(m = \frac{y +9}{2}\)
For AB
\(A = (4,-9)\) \(B = (7,-3)\)
\(m = \frac{-3 --9}{7-4}\)
\(m = \frac{-3 +9}{3}\)
\(m = \frac{6}{3}\)
\(m = 2\)
So, we have:
\(m = \frac{y +9}{2}\) and \(m = 2\)
\(m = m\)
\(\frac{y +9}{2} = 2\)
Multiply both sides by 2
\(y +9 = 4\)
Solve for y
\(y = 4-9\)
\(y = -5\)
Hence, the y coordinate of C is -5
Please help ASAP on both questions I don’t have that many points and this is due in 10 mins :(
Answer:
8) 0
9) undefined
The plot below shows the amount of time Mira spent on
5
55 math problems.
All measurements are rounded to the nearest
1
4
4
1
start fraction, 1, divided by, 4, end fraction minute.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten. An unlabeled tick mark appears between each labeled tick mark. Dots are plotted as follows: 2 dots above the unlabeled tick mark between eight and eight and a half and 3 dots above nine and a half.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten.
If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?
If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.
In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.
Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:
The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.
There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.
There are 3 dots above the 9.5 minutes per problem tick mark.
Now, let's calculate the total time Mira spent:
(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.
Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.
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Which statement about the linear equation 3a + 1 over 3(6a −9) = 1 over 2(10a − 6) is true?
A
The equation has exactly one solution at a = 0.
B
The equation has an infinite number of solutions.
C
The equation has exactly one solution at a = 1.
D
The equation has no solutions.
The statement about the linear equation 3a + 1/3(6a −9) = 1/2(10a − 6) that is true is: "The equation has an infinite number of solutions." (Option B)
What is a linear equation?A linear equation is defined as an equation with a maximum of one degree. A nonlinear equation is one with a degree greater than or equal to two.
On the graph, a linear equation looks like a straight line. On the graph, a nonlinear equation creates a curve.
To justify the above answer, we state the linear equation above:
3a + 1/3(6a −9) = 1/2(10a − 6) ; Simplified by opening the brackets, we have
3a + 2a − 3 = 5a − 3; collecting like terms on the left side, we have
5a -3 = 5a -3
Because 5a -3 = 5a -3, the expression holds true regardless of what integer or value a represents. Hence, it has an infinite number of solutions.
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A quarterback can throw football 0.04 miles how many throws would it take for him to throw the ball into a pond that is 35.6 miles away
Answer: 890 throws
Step-by-step explanation: divide 35.6 by 0.04
to get your answer.
PLEASE ANSWER ASAP!!!!!
Answer:
\(\huge\boxed{\sf r = 5}\)
Step-by-step explanation:
Given that,
7(q + 5) = (q + r)7Distribute7q + 35 = 7q + 7r
Subtract 7q from both sides7q - 7q + 35 = 7q - 7q + 7r
35 = 7r
Divide both sides by 735/7 = r
5 = r
OR
r = 5\(\rule[225]{225}{2}\)
Answer:
r = 5
Step-by-step explanation:
Given statement,
→ 7(q + 5) is equivalent to (q + r)7.
Forming the equation,
→ 7(q + 5) = 7(q + r)
Now we have to,
→ Find the required value of r.
Then the value of r will be,
→ 7(q + 5) = 7(q + r)
Applying Distributive property:
→ 7(q) + 7(5) = 7(q) + 7(r)
→ 7q + 35 = 7q + 7r
Cancelling 7q from both sides:
→ 35 = 7r
→ 7r = 35
Dividing the RHS with number 7:
→ r = 35/7
→ [ r = 5 ]
Therefore, the value of r is 5.
please help me thank you so much
Answer:
1)
7+9-15 = add 7 and 9, then subtract 15
2)
15-(7+9) = The sum of 7 and 9 subtracted from 15
3)
15-(7+9) = subtract 7 from 15, then add 9
Step-by-step explanation:
Learn BODMAS. The order of how to do equations. A simple tutorial on yt should be sufficient
On a hot day, Gabrielle poured 1/8 of a bucket of water into a plastic wading pool. A few minutes later she added another 1/2 of a bucket. How much water did Gabrielle pour into the pool?
5/8 of a bucket of water
Explanation:Initial amount poured = 1/8 bucket of water
An addition of 1/2 bucket into the the pool
Total amount of water in the pool = 1/8 bucket of water + 1/2 bucket of water
\(\begin{gathered} \frac{1}{8}+\frac{1}{2},\text{ }LCM\text{ = 8} \\ \frac{1(1)\text{ +4(1)}}{8} \end{gathered}\)\(=\frac{1+4}{8}=\text{ 5/8}\)Total water in the pool is 5/8 of a bucket of water
In which of these situations do the quantities combine to make 0? 4 of 5 QUESTIONS A player in a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive. OA bird flies 25 feet up in the air. It then flies 25 feet across to its nest. Veronica receives $21 for babysitting. She then spends $21 on a new shirt. SUBMIT
The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.
When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.
In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.
The total points earned in this situation would be 8, which is not equal to 0.
In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.
In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.
Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.
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The probable question may be:
In which of these situations do the quantities combine to make 0?
A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.
B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.
C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.
D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.
Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter your answers from smallest to largest. Do not list the same eigenvalue multiple times.) 0 3 3 ?330 = | 0, _ 3.3 For each eigenvalue, find the dimension of the corresponding eigenspace. (Enter your answers as a comma-separated list.) dim(x) Need Help?Read It Talk to a Tutor
The eigenvalues of the matrix 0 3 3 -3 are 3 and -3 with each corresponding eigenspace having a dimension of 1.
An eigenvalue of a matrix is a scalar that satisfies the equation Av = λv, where A is the matrix, v is the eigenvector, and λ is the eigenvalue. The eigenvector v represents a direction in which the matrix transforms the space, and the eigenvalue λ represents the scale factor by which the eigenvector is stretched or shrunk.
In this case, the matrix 0 3 3 330 can be written as:
A = 0 3
3 -3
To find the eigenvalues, we need to solve the characteristic equation det(A - λI) = 0, where I is the identity matrix. In this case, the characteristic equation is:
det(A - λI) = det
0 3 - λ 3 -3 - λ
3 3 -3 -3 - λ
= (0 - λ)(-3 - λ) - 9 = 0
= λ^2 + 3λ - 9 = 0
Solving for λ, we find that the eigenvalues are 3 and -3.
Next, we need to find the dimension of the corresponding eigenspaces, which are the subspaces spanned by the eigenvectors associated with each eigenvalue. In this case, the matrix is 2x2, so the maximum dimension of the eigenspaces is 2. However, since the matrix is symmetric, the eigenvectors are orthogonal, and therefore the sum of the dimensions of the eigenspaces is equal to the dimension of the matrix. So in this case, the dimension of each eigenspace must be 1, since the sum of the dimensions is 2.
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A student claims that 2-4=0 because you cant have less than nothing
Answer: -2
Step-by-step explanation:
7. The Taylor Rule states that the central bank should set the short-term nominal interest rate (i)
based on the inflation gap [the difference between inflation (3.14) and desired inflation (3.14*)] and the
output gap (the percentage difference between real GDP (Y) and potential GDP (Y*) An
example of a Taylor Rule would be the formula
i - 3.14 = 1.5 +0.5(3.14-3.14*) +0.5 (Y-Y*/Y*)
The term on the left-hand side is the real interest rate. Consider the following table
Inflation rate (3.14), %
Target inflation rate (3.14*), %
Output gap, %
Real interest rate
Nominal interest rate
Base Scenario Scenario B Scenario C
4.0
20
2.0
20
0.0
20
20
20
00
a. Fill in the real and nominal interest rates chosen by the policy maker in the base scenano
b. How does scenario B differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move the inflation rate toward its target?
c. How does scenario C differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move output toward the potential level?
d. Suppose a new chair of the central bank is appointed and she switches to a new policy rule of
the form given in the next equation. Recalculate the real and nominal interest rates for the
three scenarios. What has been the effect of the change in weights?
i-3.14=1.5 +0.75(3.14-3.14*) +0.25(Y-Y*/Y*)
The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%
a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.
b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).
Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).
Now, let's calculate the real interest rate.
Real interest rate in base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)
= 19.22%.
The real interest rate has moved in the direction to move inflation rate towards its target.
c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.
Inflation gap is 0% in both the scenarios
Inflation rate is 3.14% and in scenario C, inflation rate is 2%.
Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)
= 20.15%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.
The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.
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Q. A customer hands you three (3) five-dollar bills, five (5) quarters, and two (2) dimes to pay the
full amount for an item. How much does the item cost?
A. $15.45
B. $16.35
C. $16.20
D. $16.45
Answer:
The cost would be D. 16.45
Describe in words where √30^(3) would be plotted on a number line.
The cube root of 30 would be between 3 and 4, but closer to 3.
How to find cube root of a number?Cube root is the number that needs to be multiplied three times to get the original number.
The cube root of a number can be determined by using the prime factorization method. In order to find the cube root of a number:
Step 1: Start with the prime factorization of the given number.
Step 2: Then, divide the factors obtained into groups containing three same factors.
Step 3: After that, remove the cube root symbol and multiply the factors to get the answer. If there is any factor left that cannot be divided equally into groups of three, that means the given number is not a perfect cube and we cannot find the cube root of that number.
We have to find the cube root of 30.
Prime factorization of 30 = \(2\times3\times5\).
Therefore the cube root of 30 = \(\sqrt[3]{ (2\times3\times5)}= \sqrt[3]{30}\).
As \(\sqrt[3]{30}\) cannot be reduced further, then the result for the cube root of 30 is an irrational number as well.
So here we will use approximation method to find the cube root of 30 using Halley's approach:
Halley’s Cube Root Formula:
\({\sqrt[3]{\text{a}} = \dfrac{\text{x}[(\text{x}^3 + 2\text{a})}{(2\text{x}^3 + \text{a})]}}\)
The letter “a” stands in for the required cube root computation.
Take the cube root of the nearest perfect cube, “x” to obtain the estimated value.
Here we have a = 30
and we will substitute x = 3 because 3³ = 27 < 30 is the nearest perfect cube.
Substituting a and x in Halley's formula,
\(\sqrt[3]{30} = \dfrac{3[(3^3 + 2\times30)}{(2\times3^3 + 30)]}\)
\(= \dfrac{3[(27+60)}{(54+30)]}\)
\(= 3\huge \text(\dfrac{87}{84} \huge \text)\)
\(= 3\times1.0357\)
\(\bold{\sqrt[3]{30} = 3.107}\).
Hence, the cube root of 30 is 3.107.
Therefore, we can conclude that the cube root of 30 would be between 3 and 4, but closer to 3.
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Complete question:
Describe in words where cube root of 30 would be plotted on a number line.
A. Between 3 and 4, but closer to 3
B. Between 3 and 4, but closer to 4
C. Between 2 and 3, but closer to 2
D. Between 2 and 3, but closer to 3
Manuel paid off 88% of his debt. He originally owed $$$1950. How much does Manuel owe now?
Answer:
234
Step-by-step explanation:
234 because you have to do 1950 - 88% which will get you 234$
In a soccer field, four fifths
of the field is made up of soil and the remaining part is made up of grass and has 24 square meters. How many meters does the soil part have?
Answer: 96 square meters
Step-by-step explanation:
x=total meters.
y=4/5 * x
x=5/4 * y
x=4/5*x+24
5/4*y=y+24
(5/4*y=y+24)*4
5y=4y+96
y=96 square meters
A easy question help.
Answer:
170ft
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think its 170 25+30=55 55+55=160 but it's only 5 away so I could be wrong
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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What is the relationship of the 2’s in 4,202?
Last year the cost of Tom's train ticket was £42 This year the cost of Tom's train ticket increased to £50 Write down the increase in the cost of Tom's ticket as a fraction of last year's cost. (2 marks
Answer:
19.048%
Step-by-step explanation:
The formula for the increase in cost will be :
[(New cost - Original Cost)÷Original Cost] × 100
So let's substitute values in from the question :
[(50-42)÷42] × 100
[8÷42] × 100
0.19048 × 100
19.048%
Hope this helped and have a good day
Write
7
as a decimal.
25
0
Answer:
0.07
Step-by-step explanation:
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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Point C has a coordinate of (-4, -6) and point D has a coordinate of (1, -6), how far are they apart?
The distance between points C and D is given as follows:
5 units.
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The coordinates for this problem are given as follows:
(-4, -6) and (1, -6).
Hence the distance is given as follows:
\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)
D = 5 units.
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During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, what will the population be 7.2 minutes from now?
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:
P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes
The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.
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Which set of steps can be used to prove the sine sum identity, sin(x + y) = sin(x)cos(y) + cos(x)sin(y)? Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y). Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = sin(y) and cos(–y) = –cos(y). Use the supplementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y). Use the supplementary relationship between sine and cosine to rewrite sin(x + y) as
Answer:
A. Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).
Step-by-step explanation:
edge
The supplementary relationship between sine and cosine
to write sin(x + y) is sin x cos y + cos x sin y. and correct steps are
Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).
What is trigonometric equation?Trigonometric equation is an equation involving one or more trigonometric ratios of unknown angles. It is expressed as ratios of sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec) angles. For example, cos2 x + 5 sin x = 0 is a trigonometric equation.
What is Sin(a + b) Identity in Trigonometry?
Sin(a + b) is the trigonometry identity for compound angles. It is applied when the angle for which the value of the sine function is to be calculated is given in the form of the sum of angles. The angle (a + b) represents the compound angle.
sin (a + b) = sin a cos b + cos a sin b
According to the question
sin(x+y)
= cos (\(\frac{\pi }{2} - (x+y)\))
Now as (cos (x-y) = cosx cosy - sinx siny )
= Cos (\(\frac{\pi }{2}-x\))cos(-y) - sin(\(\frac{\pi }{2}-x\))sin(-y)
By using identity sin(–y) = –sin(y) and cos(–y) = cos(y)
= Cos (\(\frac{\pi }{2}-x\))cos(-y) - sin(\(\frac{\pi }{2}-x\))sin(-y)
= sin x cos y - cos x sin(-y)
= sin x cos y + cos x sin y
Hence, the supplementary relationship between sine and cosine
to write sin(x + y) is sin x cos y + cos x sin y. and correct steps are
Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).
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Solving One Step Equations:
z - 2.3 = 0.46
Answer:
z =2.76
Step-by-step explanation:
z - 2.3 = 0.46
Add 2.3 to each side
z - 2.3+2.3 = 0.46+2.3
z =2.76
9. Find the volume of a cone with a radius of 10 mm and a height of 6 mm.
O 628 mm³
O 600 mm³
O 1,884 mm 3
O 1,254 mm
Answer:
Step-by-step explanation:
The formula for the volume of a cone is:
V = (1/3)πr^2h
where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.
Substituting the given values, we have:
V = (1/3)π(10 mm)^2(6 mm)
V = (1/3)π(100 mm^2)(6 mm)
V = (1/3)π(600 mm^3)
V = 200π mm^3
Using a calculator to approximate π to 3.14, we get:
V ≈ 628.32 mm^3
Therefore, the answer is O 628 mm³.
Mya runs around a 400 m track at a constant speed of 250 m/min. how many minutes does it take Mya to complete four laps of the track
Answer:
6.4 laps
Step-by-step explanation:
A function is shown: f(x)= 2/3x+3
What is the value of f(18)?
Answer:
15
Step-by-step explanation:
When you see something like f (18), this means 18 needs to be plugged in for x
let's plug in 18
f (18) = \(\frac{2}{3} (18) + 3\)
Let's solve
(18 × 2) ÷ 3 = 12
12 + 3 = 15
f (18) = 15
11. Given a polynomial P(x) = x³-4x²-5x is one of the zeroes.
a) Factorise P(x) completely
b) Sketch the graph of P(x)
C)Find the domain and range.
Answer:
thats some tuff
Step-by-step explanation:
Answer:
Step-by-step explanation:
P(x)=x³-4x²-5x=x(x²-4x-5)
=x(x²-5x+x-5)
=x[x(x-5)+1(x-5)]
=x(x-5)(x+1)
domain (-∞,∞)
range: (-∞,∞)