Answer:
No, they are not similar.
What are the zero(s) of the function f(x) =4x2-36x. —————————————
X-9
?
A.x= -9
B.x=0
C.x=9
D.x= 0 and x = 9
Answer:
x=0 true
....................
Answer:
B) x=0
Step-by-step explanation:
\(f(x)=\frac{4x^2-36x}{x-9}\\ \\0=\frac{4x^2-36x}{x-9}\\ \\0=\frac{4x(x-9)}{x-9}\\ \\0=4x\\\\0=x\\\\x=0\)
This is just a linear function in disguise, so there's only one solution
The beginning balance of the check register was $492.88. During the month, deposits were made for $210 and $499.88. Checks were
written for $18.25, $19.82, and $309.82. What is the ending balance of the check register?
Note: Round your answer to 2 decimal places.
Answer:
$840.77
Step-by-step explanation:
0.43
decimal place(s)
X 0.2
decimal place(s)
0.086
decimal place(s)
Determine whether the following statement is true or false.
Generally, the goal of an experiment is to determine the effect that the treatment will have on the response variable.
True, Generally, the goal of an experiment is to determine the effect that the treatment will have on the response variable.
What does a response variable in an experiment mean?
Response Continuum In an experimental investigation, this is the result that is assessed after manipulating the explanatory variable; it is also referred to as the dependent or outcome variable.
Its value is expected or its variation is explained by the explanatory variable.
What other name would you give the answer variable?
The term "dependent variable" is one more typical moniker for the response variable. The response variable is frequently referred to as just "the response" for short.
There are several more terms for the predictor variables, including "explanatory variables," "independent variables," "predictors," and "regressors."
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Need a problem showing how to to divide beach toys into equal groups. Solve it too.
Answer:
ok
Step-by-step explanation:
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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Evaluate 4 x^3 + 4x when x = 3
Answer:120
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Given information:
• 4x³ + 4x
• x = 3
To evaluate the expression further, plug in the given variable and simplify:
4x³ + 4x Replace x with 3.
4(3)³ + 4(3) PEMDAS - put 3 to the 3rd power.
4(27) + 4(3) Use the distributive property to get rid of the parentheses.
108 + 12 Add the two values.
120
The simplification of 4x³ + 4x when x = 3 is 120.
When the Temperature is 20 degrees Celsius (c) what is it On The Fahrenheit (f)scale?
Answer: 68 F
Step-by-step explanation:
Answer:
68 ° F
Step-by-step explanation:
F° = 9/5 * C° + 32
= 9/5 * 20 + 32 = 68°F
Two people are playing the game rock, paper scissors. In each round both players show rock, paper, or scissors at the same time. What is the probability that both players show rock in the first round. Show your work.
The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).
In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.
To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.
Therefore, the probability that both players show rock in the first round can be calculated as follows:
P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9
So the probability that both players show rock in the first round is 1/9 or approximately 0.111.
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A carpenter takes a board that is 78 inches long and cuts a piece 29 inches long off of it. The
length of the remaining board is
inches.
Answer:
79 inches
Step-by-step explanation:
hope it helps:)
Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 29, 31, 49, 37, 26, 28. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die?
The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.
Step 1: Set up hypotheses
H₀: The outcomes of the die are equally likely.
H₁: The outcomes of the die are not equally likely.
Step 2: Select the significance level
The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.
Step 3: Compute the test statistic
We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.
Expected frequencies (fair die):
1: 200/6 = 33.33
2: 200/6 = 33.33
3: 200/6 = 33.33
4: 200/6 = 33.33
5: 200/6 = 33.33
6: 200/6 = 33.33
Applying the chi-square formula, we get the test statistic:
χ² = ∑((observed - expected)² / expected)
Calculating this value, we get χ² ≈ 13.97.
Step 4: Determine the critical value
Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.
Step 5: Make a decision
The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.
The loaded die appears to behave differently from a fair die.
In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
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What is 2X to the power of 3 divided by -8X to the power of 4?
Answer: 8 = 23 (-8)4 = (23)4 = 212
1/(2048x)
Step-by-step explanation:Negative number raised to an even power is positive
For example let's look at (-7)6 , where (-7) , a negative number, is raised to 6 , an even exponent :
(-7)6 can be written as (-7)•(-7)•(-7)•(-7)•(-7)•(-7)
Now, using the rule that says minus times minus is plus, (-7)6 can be written as (49)•(49)•(49) which in turn can be written as (7)•(7)•(7)•(7)•(7)•(7) or 76 which is positive.
We proved that (-7)6 is equal to (7)6 which is a positive number
Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 6 by any even exponent, we proved which had to be proved
Dividing exponential expressions : x3 divided by x4 = x(3 - 4) = x(-1) = 1/x1 = 1/x
Final result :
1/2048x
im in middle school
Find the domain of the inverse function w-1 (x) . Express your answer as in inequality
Answer:
ANSWER
Step-by-step explanation:
Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.
If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).
For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.
Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.
Help me answer this please
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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WELPPPPP IMMA FAILLLLLL
Answer:
I'm pretty sure the answer is A.
Step-by-step explanation:
y = x^3 + 1 is a place in a linear graph.
heeeeeeellllllllllp plz i neeed it
simplest form 2 3/4 x 4/5 *
Answer:
2 1/5
Step-by-step explanation:
2 3/4 * 4/5
Change the mixed number to an improper fraction
( 4*2+3)/4 * 4/5
11/4 * 4/5
The 4 in the numerator and denominator cancel
11/5
Changing back to a mixed number
5 goes into 11 2 times with 1 left over
2 1/5
Answer:
\(2\frac{1}{5}\)
Step-by-step explanation:
\(2\frac{3}{4}*\frac{4}{5}\\\frac{11}{4}*\frac{4}{5}\\\frac{11}{5}\\ 2\frac{1}{5}\)
Which is the radian measure for 30° and its associated coordinate point on the unit circle?
7 pie/6
Pie over 6
Answer:
57
Step-by-step explanation:
this is the boybfiend
Given that X≈2 is an approximate solution to x^2+2x-2=5, use the graph to find another approximate solution round your answer to the nearest integer. X≈ ___
The nearest integer that is a solution, gotten through graphing of the quadratic function x² + 2x - 2 = 5, is x = -4
How to find the graphical solution of the functionQuadratic equations when plotted on a graph follows a parabolic path.
To plot the functions there will be table of values that is used in making the graph. The table of values is solved as follows
x² + 2x - 2 = 5 rearranging the equation will result to x² + 2x - 7 = 0
For x = -20, y = (-20)² + 2 * -20 - 7 = 353
For x = 0, y = (0)² + 2 * 0 - 7 = -7
For x = 20, y = (20)² + 2 * 20 - 7 = 433
x y
-20 353
0 -7
20 433
The graph is plotted and attached. From the graph the solution is
x = -3.828, to the nearest integer = -4
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You can use the equation A =(HW/3600)^1/2
to approximate a person's body surface area A (in square meters), where H
is height (in centimeters) and W is weight (in kilograms). Approximate the body surface area of a person with a height
of 160 centimeters and a weight of 64 kilograms.
Body surface area:______
m²
The body surface area is given by the equation A = 1.6865 m²
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 body surface area be represented as A
Now , the equation will be
A = ( HW / 3600 )^1/2
A = √( HW / 3600 ) be equation (1)
where H is the height in centimeters and W is the weight in kilograms
Now , the value of H = 160 cm
The value of W = 64 kg
Substituting the values in the equation , we get
A = √ [ ( 160 x 64 ) / 3600 ]
On simplifying the equation , we get
A = √ ( 10240/3600 )
A = √ ( 2.8444 )
A = 1.6865 m²
Therefore , the body surface area is 1.6865 m²
Hence , the equation is A = 1.6865 m²
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The diagram below shows a sketch of the graph of y=f(x). The graph crosses the y-axis at the point (0,-2), and the x-axis at the point (8,0).
On a piece of paper sketch the graph of y= -4 f(x+3).
Record below the coordinates of the point where the graph crosses the x-axis and the coordinate of the point where x= -3.
x = ______
y = ______
and
x = ______
y = ______
The coordinates of the intersection with the x-axis are
(8,0), and the coordinates of the point where x = -3, (-3 0).
What are the coordinates of the axis?
A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.
We have,
The graph shows the sketch of y = f(x).
The graph crosses the y-axis at the point (0,-2), and the x-axis at the point (8,0).
The coordinates of the intersection with the x-axis are:
x = 8
y = 0
The coordinates of the point where x = -3,
y = 0.
Hence, the coordinates of the intersection with the x-axis are
(8,0), and the coordinates of the point where x = -3, (-3 0).
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explain the difference between arithmetic growth and exponential (geometric growth). would you recognize them if they were described in writing and/or by picture?
When one of the parent cell keeps dividing while the other matures, this is known as arithmetic growth. The early stages of geometric growth are characterized by slow expansion, whereas the latter stages are characterized by rapid expansion.
When one of the parent cell keeps dividing while the other matures, this is known as arithmetic growth. An illustration of arithmetic growth is the ongoing elongation of roots. The early stages of geometric growth are characterized by slow expansion, whereas the latter stages are characterized by rapid expansion.
The amounts added grow by a fixed rate of growth, expressed in percentages. Due to the fact that these remain constant while the amounts added rise, growth is then typically measured in doubling times.
Due to the fact that all populations of organisms have the potential to experience exponential growth, the concept of exponential growth is particularly intriguing in the field of population biology.
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Help Please.. 1 /2x + y = 4 What is the x-intercept? What is the y-intercept?
Answer:
x - intercept = 8
y - intercept = 4
Step-by-step explanation:
In order to to find x- intercept, plug y = 0, in the given equation of line.
\( \frac{1} {2} x+y = 4\\\\
\frac{1} {2} x+0 = 4..(plug \: y = 0)\\
\frac{1} {2} x = 4\\
x = 2\times 4\\
x = 8\\
\huge \red {\boxed {\therefore x-intercept = 8}} \)
In order to to find y- intercept, plug x = 0, in the given equation of line.
\( \frac{1} {2} x+y = 4\\\\
\frac{1} {2} \times 0+y = 4..(plug \: x = 0)\\
0+y = 4\\
y = 4\\
\huge \purple {\boxed {\therefore y-intercept = 4}} \)
What is the ¨Decimal Form¨ of (9 × 1) + (5 × 1/10) + (8 × 1/100) ?
Answer:
nine and fifty-eight hundredths
Step-by-step explanation:
nine would be 9x1, =9, fifty-eight hundredths would be the .58.
13. Find the diagonal of a square if the lengths of its sides are each 16 mm. Round to the nearest tenth.
A. 16.0 mm
B. 45.3 mm
C. 22.6 mm
D. 32.0 mm
Answer:
\(C.\ 22.6mm\)
Step-by-step explanation:
When one draws a diagonal in a square (a line connecting opposite corners), the halves of the square form (45-45-90) triangles. This means that the triangle follows the following ratio,
\((a)-(a)-(a\sqrt{2})\)
Where (a) represents the legs or the sides adjacent to the right angle (angle with the box around it) and (\(a\sqrt{2}\)) represents the hypotenuse or side opposite to the right angle.
Both legs have a length of (16)mm this is because all sides of a square are congruent, and the two sides adjacent to the right angle are both the sides of a square. One of them has the measure of (16) thus the other must have a measure of (16). This means that the diameter has the following value,
\(16\sqrt2}\)
In numerical form,
\(\approx22.62\)
HELP!!! What are the quotient and remainder when x^3 + 9x^2 + 21x + 24 is divided by x + 2? PLEASE HELP
Answer:
A) The quotient is x^2+7x+7 and the remainder is 10.
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
True or False: You get the same answer both times when you evaluate the expression 6y - 7 using y = 3 and then using y = -3.
True
False
When the expression 6y - 7, is evaluated with y = 3 and y = -3, then the values are not same. Thus option 2: False is correct.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The given expression is - 6y - 7
Firstly substitute the value of y = 3 in the expression -
6y - 7
Use the arithmetic operation of multiplication -
6(3) - 7
Use the arithmetic operation of subtraction -
18 - 7
11
Now, substitute the value of y = -3 in the expression -
6y - 7
Use the arithmetic operation of multiplication -
6(-3) - 7
Use the arithmetic operation of subtraction -
-18 - 7
-25
Therefore, the values are not same for y = 3 and y = -3.
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It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, estimate how much longer I will be driving for?
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.
To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.
We can set up a proportion to find the time:
(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)
Let's solve for the time taken for 146 km:
(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)
Substituting the given values:
(time taken for 146 km) = 32 minutes * (146 km / 48 km)
Calculating the value:
(time taken for 146 km) ≈ 32 minutes * 3.042
(time taken for 146 km) ≈ 97.344 minutes
Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.
To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:
Additional time = 97.344 minutes - 32 minutes
Additional time ≈ 65.344 minutes
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In the figure below, m 1 = 3x° and m2 = (x+36).
Find the angle measures
Answer:
Step-by-step explanation:
∠1+∠2=180°
3x+x+36=180
4x=180-36=144
x=144/4=36°
∠1=3x=3×36=108°
∠2=x+36=36+36=72°
The measures of the angles are m∠1 = 108° and m∠2 = 72°.
Given,
m∠1 = 3x°
m∠2 = (x + 36)°
We need to find the measure of these angles.
What is a straight line angle?The straight line angle is 180 degrees.
If the angle is split the sum must be equal to 180 degrees.
We have,
m∠1 = 3x°
m∠2 = (x + 36)°
The figure is at a straight-line angle.
So we have,
m∠1 + m∠2 = 180°
3x° + (x + 36)° = 180
3x + x + 36 = 180
4x + 36 = 180
4x = 180 - 36
4x = 144
x = 144/4
x = 36
Now,
- m∠1
= 3x
= 3 x 36
= 108
- m∠2
= x + 36
= 36 + 36
= 72
Thus the measures of the angles are m∠1 = 108° and m∠2 = 72°.
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A car travels a distance of 112km at an average Speed of 70km/h. It then Travells Further for 60km at an average Speed of 50 km/hr. Calculate for the entire Journey of the total time taken.
The total time taken for the entire journey is 2.8 hours.
To calculate the total time taken for the entire journey, we can use the formula:
Time = Distance / Speed
For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:
Time1 = 112 km / 70 km/h = 1.6 hours
For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:
Time2 = 60 km / 50 km/h = 1.2 hours
To find the total time for the entire journey, we sum up the times for both parts:
Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours
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