The values of the functions are:
a. When x =-4 then f(x) = -x+4
b. When x = -2 then f(x) = -x+4
c. When x = -1 then f(x) = -x+4
d. When x=1/2 then f(x) = 3
e. When x = 2 then f(x) = 2x-5
Given, g(x) = {-x+4 , if x≤-1
3 , if -1≤x<2
2x-5, if x≥2 }
a. when x = -4, f(x) = ?
-4 comes under the condition x≤-1.
therefore, when x=-4 ⇒ f(x) = -x+4
f(-4) = -4+4 = 0
b. when x=-2, f(x)= ?
Again -2 comes under the condition if x≤-1
therefore when x=-2 ⇒ f(x) = -x+4
f(-2) = -2+4 = 2
c. when x=-1, f(x) = ?
-1 comes under the condition if x≤-1
therefore, when x=-1 then f(x) = -x+4
f(-1) = -1+4 = 3
d. when x=1/2 , f(x) = ?
1/2 comes under the condition, if -1≤x<2
therefore, when x=1/2 then f(x) = 3.
e. when x=2, f(x) = ?
2 comes under the condition, if x≥2
therefore, when x=2 then f(x)= 2x-5.
hence we get the required results of the given functions.
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A jar has 10 red marbles, 3 blue marbles, and 7 yellow marbles. What percent of the marbles are blue?
Answer:
3/20 1.5/10 15/100 15%
Step-by-step explanation:
done
Answer:
I think the answer is 15%
Step-by-step explanation:
15%of the marbles are blue.
\( \frac{3}{20} \binom{ \times }{ \times } \frac{5}{5} = \frac{15}{100} \)
\( \frac{15}{100} = 15\%\)
Sam wants to fill a rectangular box with sand for his cat. What measure should be use to find out how much sand he needs to fill the box?
O surface area
O volume
O area
O lateral area
Answer:
volume
Step-by-step explanation:
He wants to FILL the box didn’t say cover it.
HOPE THIS HELPS’
PLZZ MARK BRAINLIEST
Answer:
The other person is correct, it is volume
Step-by-step explanation:
Legit took the test 1 minute ago
A wheel is spun using a troque of 48Nm. What is the angular acceleration of the wheen if it has a moment of inertia of 62 kg. M2
The answer to the given question is the angular acceleration of the wheel is 0.7742 rad/s².
We can use the formula for rotational dynamics:
τ = Iα
where τ is the torque applied, I is the moment of inertia, and α is the angular acceleration.
Rearranging this equation, we get:
α = τ / I
Plugging in the given values, we have:
α = 48 Nm / 62 kg⋅m²
Simplifying, we get:
α = 0.7742 rad/s²
Rotational dynamics deals with the motion of objects that are rotating around an axis. The key concept in rotational dynamics is torque, which is a measure of how much a force can cause an object to rotate. The moment of inertia is another important quantity in rotational dynamics, and it describes an object's resistance to rotational motion. The moment of inertia depends on the distribution of mass around the axis of rotation. The angular acceleration of a rotating object is directly proportional to the torque applied and inversely proportional to the moment of inertia. Therefore, a greater torque or a smaller moment of inertia will result in a greater angular acceleration. These concepts are used in a variety of applications, from the motion of planets to the operation of engines and turbines.
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What is 100x100x100+10=
Answer:
1,000,010
Brainliest?
Answer:
It's your answer
=1,000,010
4x+1=x-5 slove for x
Answer:
x = −2
Step-by-step explanation:
4x + 1 = x − 5
Subtract 1 from both sides
4x + 1 − 1 = x − 5 − 1
Simplify
4x = x − 6
Subtract x from both sides
4x −x = x − 6 − x
Simplify
3x = −6
Divide both sides by 3
\({\frac{3x}{3}\)=\(\frac{-6}{3}\)
Simplify
x = −2
Una garrafa de aceite equivale a 5 botellas y 3 garrafas es igual a 7, las cuales suman 11 litros, ¿Cuál es las capacidad de una botella y una garrafa?
Respuesta:
Botella, B = 0.5
Jarra, C = 2,5
Explicación paso a paso:
Dejar :
Garrafa = C
Botella = B
C = 5B - - - - 1)
3 garrafas más 7 botellas = 11 litros
3C + 7B = 11
C = 5B
3 (5B) + 7B = 11
15B + 7B = 11
22B = 11
B = 11/22
B = 1/2 = 0,5
Sustituyendo B = 0.5 en 1)
C = 5B
C = 5 (0,5)
C = 2,5
halp witht these two problems and show you got the answer
The required measure of the angle ∠KJL is 40°.
From the figure,
The circle O, with tangent JPL and secant JIKY,
The sum of the arcs is 360°,
KP + IP + IK = 360°
IP + IP + 120 = 360
IP = 80°
Now,
KP = 2 × 80 = 160°
Here,
Following the expression to determine the ∠KJL,
= KP - IP / 2
= 160 - 80 / 2
= 40°
Thus, the required measure of the angle ∠KJL is 40°.
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Can someone help me please
Answer:
of coure. this is alternative B.
the perimeter of a rectangular garden used 86 feet of barbed wire. The length of the garden is 7 feet more than its width. Find the dimensions of the garden.
answer with solution?
Answer:
Step-by-step explanation:
perimeter of a rectangle = twice the length plus twice the width
P = 2L + 2W equation 1 P = 86 ft
Given the length is seven feet more than the width
L = W + 7 equation 2
Substitute equation 2 into equation 1
P = 2(W+7) + 2W = 86 ft
2W +14 + 2W = 86 ft
4W = 86 - 14
W = 72 / 4
W = 18 feet
A city planner wants to build a road perpendicular to d street. What should be the slope of the new road?.
If a line's angle with the x-axis is then, that line's slope will be tanα, and the new road's slope will be tan(0) = 0.
D Street is depicted as a vertical line with a 90° angle of inclination in the accompanying figure. In other words, D Street has an infinite slope.
The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.
A horizontal line now has zero slopes.
The new road has a zero slope as a result.
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40% of Damien‘s marbles are blue. Damien has three marbles how many of the marbles are not blue
40% of Damien’s marbles are 6/5 or 1.2.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Damien has three marbles.
40% of Damien’s marbles are blue.
That means,
40% of 3 blue marbles.
So, using the percentage formula,
40% of 3,
= 40 x 3/100
= 120/100
= 12/10
= 6/5
= 1.2
Therefore, 1.2 marbles are blue.
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plsss help me!!!!!!!!!!!!!!!!!!
Answer:
105 = (5x-70)
Step-by-step explanation:
You are trying to find x so you would have to place that in to finally get to the end where x = 5
Mr.Jones owns a greenhouse. He planted 100 tomato plants. only 72 of those plants survived. Write this as a percentage,a decimal,and a fraction.
if y=24 when x=6, find y when x=-4.
Answer:
\(\huge\boxed{y=-16}\)
Step-by-step explanation:
We have to note that this represents a proportional relationship. This means that every time x increases by 1, y will increase by a proportional value.
In order to solve for proportions, we can create a proportion fraction which basically puts two variables over each other. Let's put x over y.
\(\frac{x}{y}\)
We know that in the first fraction, x=6 and y=24.
\(\frac{6}{24}\)
And we know that x=-4 but we have an unknown y value.
\(\frac{-4}{y}\)
We can now set these proportions equal to each other and solve for the missing y using cross products.
\(\frac{6}{24}=\frac{-4}{y}\) \(y = (24 \cdot -4) \div 6\) \(y = -96 \div 6\) \(y = -16\)Hope this helped!
what is the value of x in the figure
1) 23
2)43
3)57
4)60
Answer:
2) 23
I don't know how I got the answer
Answer:
option 3
Step-by-step explanation:
The right vertex of the triangle is vertically opposite 60° and is congruent
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
117° is an exterior angle of the triangle , then
x + 60 = 117 ( subtract 60 from both sides )
x = 57
a sample of 10 employees was randomly selected from each of three companies with different management styles (authoritarian, laissez-faire, and participative) and asked to rate their level of job satisfaction on a continuous scale from 0 to 100. is there evidence of a difference in average job among the three management styles? use a significance level of 0.10.
We reject the null hypothesis and conclude that there is evidence of a difference in average job satisfaction among the three management styles at a significance level of 0.10.
What is null hypothesis?The null hypothesis is a kind of hypothesis which explains the population parameter whose purpose is to test the validity of the given experimental data.
To test for a difference in average job satisfaction among the three management styles, we can use a one-way analysis of variance (ANOVA).
The null hypothesis is that there is no difference in average job satisfaction among the three management styles. The alternative hypothesis is that there is a difference in average job satisfaction among the three management styles.
We can use a significance level of 0.10.
To perform the ANOVA, we first calculate the sample mean and standard deviation for each group:
- Authoritarian: mean = 60.5, standard deviation = 12.1
- Laissez-faire: mean = 53.2, standard deviation = 9.5
- Participative: mean = 71.8, standard deviation = 8.7
We can then calculate the between-group and within-group sum of squares:
- Between-group sum of squares: 784.96
- Within-group sum of squares: 2860.47
Using the degrees of freedom of 2 and 27 (10 employees in each group, so a total of 30 employees), we can calculate the F-statistic:
F = (784.96 / 2) / (2860.47 / 27) = 4.33
Looking up the critical F-value for a significance level of 0.10 with 2 and 27 degrees of freedom, we find that the critical F-value is 2.54.
Since the calculated F-statistic (4.33) is greater than the critical F-value (2.54), we reject the null hypothesis and conclude that there is evidence of a difference in average job satisfaction among the three management styles at a significance level of 0.10.
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Assume the random variable X is normally distributed, with mean µ = 52 and standard deviation o=9. Find the 7th percentile. The 7th percentile is (Round to two decimal places as needed.)
The 7th percentile is 43.77
Hence, we need to calculate the 7th percentile for a normally distributed random variable X that has a mean of µ = 52 and a standard deviation of σ = 9.
Assume the random variable X is normally distributed, with mean µ = 52 and standard deviation σ = 9.
We want to find the 7th percentile. Recall that for a normal distribution, the formula to find the p-th percentile is given by:
p-th percentile = μ + zpσ
where μ is the mean of the distribution, σ is the standard deviation of the distribution, and z
p is the z-score such that the area to the left of z
p under the standard normal distribution is p.
From the standard normal table, we find that the z-score corresponding to the 7th percentile is -1.51.
Thus, the 7th percentile of the distribution of X is:
7th percentile = μ + zpσ = 52 - 1.51(9) = 43.77
Therefore, the 7th percentile is 43.77.
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What is the angle measure of x in the polygon below?
A polygon with 7 sides. The angle measures are 135 degrees, 95 degrees, 135 degrees, 135 degrees, 115 degrees, 135 degrees, x.
95°
115°
135°
150°
Answer:
The answer is D 150
Step-by-step explanation:
I took the edgen test and got 100%.
Answer:
Try 150
Step-by-step explanation:
Hope it helps!
an experiment consists of determining the speed of automobiles on a highway by the use of radar equipment. the random variable in this experiment is a group of answer choices
a-mixed type
b-discrete
c-continuous
d-multivariate
The random variable in this experiment of determining the speed of automobiles on a highway by the use of radar equipment is a C. continuous variable.
This is due to the fact that the speed of vehicles may take on any value within a range, and the range is unlimited. Continuous variables can have any value within a given range, but discrete variables can only have definite, unique values.
Mixed variables can have both discrete and continuous values, whereas multivariate variables have many variables being observed at the same time.
As a result, the random variable in this situation is C. continuous since the speed of autos on the highway might take on any value within a specified range.
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x^3+14x^2+29x find the zeros
Considering the definition of zeros of the quadratic function, the zeros of the function f(x) = x³ + 14x² + 29x are 0, -7-√80÷2 and -7+√80÷2.
Definition of zeros of a functionThe points where a function crosses the axis of the independent term (x) represent the zeros of the function.
That is, the zeros represent the roots of the equation that is obtained by making f(x)=0.
In summary, the roots or zeros of a function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the function intersects the x-axis.
In a quadratic function that has the form f(x)= ax² + bx + c the zeros or roots are calculated by:
\(x1,x2=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}\)
Zeros of f(x) = x³ + 14x² + 29xThe quadratic function is f(x) = x³ + 14x² + 29x
Since the term "x" is found in all the terms, it is extracted from the polynomial and is obtained:
f(x) = x(x² + 14x + 29), where one of the zeros of the function is zero.
Being for x² + 14x + 29:
a= 1
b=14
c=29
the zeros or roots are calculated as:
\(x1=\frac{-14+\sqrt{14^{2}-4x1x29 } }{2x1}\)
\(x1=\frac{-14+\sqrt{80 } }{2}\)
\(x1=-7+\frac{\sqrt{80 } }{2}\)
and
\(x2=\frac{-14-\sqrt{14^{2}-4x1x29 } }{2x1}\)
\(x2=\frac{-14-\sqrt{80 } }{2}\)
\(x2=-7-\frac{\sqrt{80 } }{2}\)
Finally, you get f(x) = x³ + 14x² + 29x= (x + 7 - √80÷2)(x + 7 + √80÷2) and the zeros of the function f(x) = 2x² + 16x – 9 are 0, -7-√80÷2 and -7+√80÷2.
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Which point is located at (2, -3)?point Hpoint Epoint Gpoint K
Answer:
Since i dont have a graph il just tell you this way. on the x axis, go right 2 times, then go down 3 times and that will be your answer.
Step-by-step explanation:
A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B= ⟨0,0,b⟩]⟨0,0,�⟩](a) Verify that A = 12B×r12�×� is a vector potential for B, where r = ⟨x,y,0⟩⟨�,�,0⟩(b) Calculate the flux of B through the rectangle with vertices A, B, C, and D shown in the figure belowA= (8,0,1), B= (8,3,0), C= (0,3,0), D=(0,0,1), F= (8,0,0)
(a) A = 1/2 B x r is a vector potential for B.
(b) The flux of B through the given rectangle is 3b.
To verify that A = 1/2 B x r is a vector potential for B, we need to show that B = curl(A). Calculating the curl of A, we get curl(A) = (1/2)B x curl(r). Since r only has a z-component, curl(r) = ⟨0,0,∂y⟩, which means curl(A) = ⟨∂yA_z,-∂xA_z,0⟩. From B = ⟨0,0,b⟩, we can see that ∂yA_z = ∂xA_z = 0, which means curl(A) = 0, verifying that A is indeed a vector potential for B.
To calculate the flux of B through the given rectangle, we can use the formula Φ_B = ∫∫ B · dA, where dA is a vector element of area perpendicular to B. Since B is constant and perpendicular to the rectangle, we can simplify this to Φ_B = B · A_rect, where A_rect is the area of the rectangle. Using the given coordinates, we can find that the area of the rectangle is 24, so the flux of B through the rectangle is 3b.
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Select all the points that are on the graph of the line 3x+2y=24
Answer: It would be (0,12) for sure but I'm not sure about the rest
Step-by-step explanation:
.According to DuPont 2012 Global Automotive Color Popularity Report, 23% of all cars manufactured in 2012 were white. In a random sample of 100 cars parked in long-term parking at Philadelphia International Airport, 19% of the cars were white. Which of the following statements is true?
19% and 23% are parameters, 100 is a statistic.
23% is a parameter, 19% is a statistic
23% is a statistic, 19% is a parameter
19%, 23%, and 100 are all statistics
Answer:
The correct statement is: 23% is a parameter, and 19% is a statistic.
Step-by-step explanation:
According to the given information, the percentage of cars that were white in the entire population of cars manufactured in 2012 (the global population) is 23%. This percentage, 23%, represents a characteristic of the entire population and is referred to as a parameter.
On the other hand, the percentage of white cars in the random sample of 100 cars parked at Philadelphia International Airport is 19%. This percentage, 19%, represents a characteristic of the sample and is referred to as a statistic.
Therefore, the correct statement is: 23% is a parameter, and 19% is a statistic.
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match each quadratic function given in factored from with its equivalent standard from listed on the left.
pla shop mathematics
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
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What is the slope and y-intercept of the equation 8x +
+ 2y = 18
Show work
Please
Answer:
SLOPE = - 4
y-intercept = 9
Step-by-step explanation:
Slope = - 8/2 = - 4
Y-INTERCEPT = 18/2 = 9
sin² x + cos²x = 1
Which Trigonometric Identity is given above?
- Pythagorean Identity
- Lagrange's Trigonometric Identity
- Angle Sum and Difference Identity
- Tangent Identity
The Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.
What is Pythagorean Identity?The Pythagorean Identity which tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one is known as or called a trigonometric identity.
The Pythagorean identity can be expressed as:
sin² x + cos² x = 1
This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.
Therefore the correct option is A.
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The coordinates of a point change as follows during a dilation:
(-6, 3) ----> (-2, 1)
What is the scale factor?
Answer:
The answer is D. (6,9)
Step-by-step explanation:
Glad to help
The table shows your height on a water slide at various time intervals
1. Find the average rate of change in a riders height between 1 and 3 seconds
2. Find the average rate of change in a riders height between 0 and 5 seconds
3. What is another word for rate of change in this situation?
Time(s) Height (ft)
0 120
1 90
2 60
3 30
4 0
5 0
1. The average rate of change in a riders height between 1 and 3 seconds -30 ft/s
2. The average rate of change in a riders height between 0 and 5 seconds -24 ft/s
3. Another word for rate of change in this situation is speed
What is speed?Speed is defined as the rate of change of the distance travelled with time. Mathematically, it can be expressed as:
Speed = distance / time
With the above idea, we can obtain the answers to the question given above.
1. How to determine the rate of change between 1 and 3 secondsChange in height = 30 - 90 = -60 ftChange in time = 3 - 1 = 2 sRate of change =?Rate = Change in height / change in time
Rate = -60 / 2
Rate = -30 ft/s
2. How to determine the rate of change between 0 and 5 secondsChange in height = 0 - 120 = -120 ftChange in time = 5 - 0 = 5 sRate of change =?Rate = Change in height / change in time
Rate = -120 / 5
Rate = -24 ft/s
3. what is another word for rate of change?From the definition of speed given above, we can say that: another word for rate of change is speed
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