Answer:
No
Step-by-step explanation:
(2x-7)(x^2-4x+4)>0
x=??
система 1
2х-7>0
x^2-4x+4>0
система 2
2х-7<0
x^2-4x+4<0
система 1
x>7/2
x принадлежит R, кроме 2
система 2
x<7/2
х не существует
общее решение
х принадлежит (7/2; +бесконечность)
The value of x will be equal to x = 2 and x = 7/2.
What is the cubic equation?The polynomial having a degree of three and the maximum power of the variable is three is called the cubic equation.
The solution of the cubic equation will be calculated as follows-
( 2x - 7) ( x² -4x + 4 ) = 0
(2x - 7 ) ( x² - 2x -2x + 4 ) = 0
(2x - 7 ) [ x ( x - 2) - 2 ( x - 2 )]= 0
( 2x - 7 ) ( x - 2 ) ( x - 2 ) = 0
x = 0 and x = 2/7
Therefore the value of x will be equal to x = 2 and x = 7/2.
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please help! you will get brainliest
Answer:
the answer is 1.33333333333
Two step equations that equal X=6
Shun is going to flip a fair coin 450 times
Using the binomial distribution, the statement that best predicts how many times the coin will land tails up is:
D. Close to 225 times but probably not exactly 225 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
For this problem, considering a fair coin, the parameters are given as follows:
p = 0.5, n = 450.
The expected value is given by:
E(X) = 450 x 0.5 = 225.
It means that the best prediction is close to 225, but may not be exactly 225, hence the correct statement is:
D. Close to 225 times but probably not exactly 225 times.
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A line intersepts the point (3,-4) and has a slope of 17 . What is the slope-intersept equation for this line?
Answer:
y=17x-55
Step-by-step explanation:
y-(-4)=17(x-3)
y+4=17x-51
y=17x-55
Edwin fills 15 test tubes with a solution. each test tube contains 150 milliliters of solution.
how many liters of solution in all is there in the test tubes?
2.25 l
22.5 l
225 l
2,250 l
2.25 liters of solution in all is there in the test tubes. So, the correct option is 2.25 l.
The total volume of solution in the 15 test tubes can be calculated by multiplying the volume of one test tube by the number of test tubes:
Total volume = 15 test tubes × 150 milliliters/test tube
Total volume = 2,250 milliliters
However, the question asks for the answer in liters, so we need to convert milliliters to liters by dividing by 1,000:
Total volume = 2,250 milliliters ÷ 1,000
Total volume = 2.25 liters
Therefore, there are 2.25 liters of solution in all the test tubes.
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Which logarithmic equation is equivalent to the exponential equation below? 9^x = 27
Answer:
x = 3/2
Step-by-step explanation:
9^x = 27 base equation
9^x = 3^3 convert 27 to exponential
3^(2x) = 3^3 convert 9^x to the same base number
2x = 3 drop the bases and compare exponents
x= 3/2 answer
Bill worked 40 hours at regular rate,2 hours at time and a half ,and 3 hours at double time. what is bill's hourly wages?
Bill's hourly wages can be calculated by determining the total earnings for each type of work (regular, time and a half, and double time) and then dividing the total earnings by the total number of hours worked. By multiplying the hours worked for each type of work by the corresponding pay rate, the total earnings can be calculated. Finally, dividing the total earnings by the total number of hours worked gives us Bill's hourly wage.
To calculate Bill's hourly wages, we need to determine the total earnings for each type of work he performed. Bill worked 40 hours at his regular rate, so his earnings for regular work are 40 times his regular hourly rate. Bill also worked 2 hours at time and a half, so his earnings for time and a half work are 2 times his regular hourly rate multiplied by 1.5. Similarly, Bill worked 3 hours at double time, so his earnings for double time work are 3 times his regular hourly rate multiplied by 2. After calculating the earnings for each type of work, we sum them up to find the total earnings. This total earnings value is then divided by the total number of hours Bill worked (40 + 2 + 3 = 45 hours) to obtain his hourly wage. The calculation can be summarized as:
Total earnings = (40 * regular rate) + (2 * regular rate * 1.5) + (3 * regular rate * 2)
Hourly wage = Total earnings / Total hours worked
By performing the calculations, you will find Bill's hourly wages based on the number of hours worked and the corresponding pay rates for regular, time and a half, and double time work.
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Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary
(-2,-5), (0, 1)
A) 2.8
C) 6.3
B) 2.
D) 4.5
Answer:
C) 6.3Step-by-step explanation:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(0+2)^2+(1+5)^2}=\sqrt{4+36}=\sqrt{40} \approx6.3\)
Devin is on his school's swim team. During his 2-week winter break, he swims 30 laps each week to stay in shape. If each lap is 25 yards, how many feet does he swim during his winter break?
I think... 1500
Step-by-step explanation:
multiply 30 and 25 then times 750 as your answer by 2 to get 1500
Look at the image down below for question.
Using proportions and ratios, the answer is m / 160(2/5) = 37(7/10) / 100 which is option A
What is ProportionsProportions are relationships between two or more related numerical values, usually expressed as fractions or ratios. They are used to compare the relative sizes of different quantities, or to assess the relationship between two different sets of data. Proportions can also be used to make predictions about future events, or to compare different sets of data.
In this problem, we can approach this as
100 pounds on Earth = 37(7/10) pounds on Mars
160(2/5) pounds on Earth = m pounds on Mars
Cross multiply both sides and solve
This will become;
m = [160(2/5) * 37(7/10)] / 100
This can be written in ratio as;
m / 160(2/5) = 37(7/10) / 100
This is option A
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48x2,64x4,x,36x2 are in proportion,find the value of x?
When the numbers 48x^2, 64x^4, x, and 36x^2 are in proportion, the value of x is 27.
The given numbers 48x^2, 64x^4, x, and 36x^2 are in proportion. To find the value of x, we can use the concept of proportionality.
In a proportion, the cross products are equal. Therefore, we can set up the following equation:
(48x^2)(36x^2) = (64x^4)(x)
Simplifying the equation:
1728x^4 = 64x^5
To solve for x, we can divide both sides of the equation by x^4:
1728 = 64x
Dividing both sides by 64:
27 = x
Therefore, the value of x in the given proportion is x = 27.
In summary, when the numbers 48x^2, 64x^4, x, and 36x^2 are in proportion, the value of x is 27.
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Every third person on a list of soccer players is selected for a survey, What kind of sampling method is used?
The method which is used for every third person on a list of soccer players selected for a survey is known as systematic sampling.
What is a sample method?The sampling method is the method of selecting the subset from the set to make a statical inference.
Because of its simplicity, systematic sampling, also known as the nth name selection approach, is frequently employed instead of random sampling. Following the collection of the sample, every nth person of the population is registered in the sample.
Thus, the systematic sampling method is used.
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which transformation would take figure a to figure b
The graph shown represents the distance the Harrison family drove on their vacation. What does the unit rate represent?
Answer:answer is b
Step-by-step explanation:it’s miles per hour not hours per mile
How do you solve this 4x-2+x= -2+2x
Answer:
0
Step-by-step explanation:
First of all, simplify the equation on both sides. You will get 5x - 2 = 2x - 2. Add two to both sides, and you get 5x=2x. Subtract 2x from both sides to get 3x=0, so x will equal 0.
Answer:
5x = 2x
Step-by-step explanation:
5x- 2 = 2 + 2x
5x - 2+ 2 = -2 + 2x +2
Convert 100 pounds to kilograms. (1 pound = 0.454 kilogram)
Answer:
45.3592 :)
Step-by-step explanation:
when rounded 45.4
100 pounds in kilograms would measure 45.3592.
In the given question we need to convert 100 pounds to kilograms.
1 pound measures 0.454 kilograms
Hence 100 pounds would measure,
=100 × 0.454
=45.4 kilograms (rounding off)
The real value for 100 pounds in kilogram would be 45.3592.
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Express the confidence interval 0.039
A. 0.259+0.22The confidence interval is 0.039. This means that the value lies between the range of -0.039 and 0.039. Therefore, we can express the confidence interval as the mean plus or minus the margin of error.
This will give us a range in which the true population mean lies.Let's assume that the mean is 0.259. Then the lower limit of the range is given by:Lower limit = 0.259 - 0.039 = 0.22 And the upper limit of the range is given by:Upper limit = 0.259 + 0.039 = 0.298Therefore, the confidence interval is: 0.22 to 0.298Now we can see that option A is the correct answer: 0.259+0.22.
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Which of the following formulas is CORRECT for finding the present value of an investment
A) FV = PV/(1 + r)^n
B) PV = FV x (1 + r)n
C) PV = FVn x (1 + r)
D) PV = FV x 1/(1 + r)^n
The correct formula for finding the present value of an investment is given by option D) PV = FV x 1/(1 + r)^n.
The present value (PV) of an investment is the current value of future cash flows discounted at a specified rate. The formula for calculating the present value takes into account the future value (FV) of the investment, the interest rate (r), and the number of periods (n).
Option D) PV = FV x 1/(1 + r)^n represents the correct formula for finding the present value. It incorporates the concept of discounting future cash flows by dividing the future value by (1 + r)^n. This adjustment accounts for the time value of money, where the value of money decreases over time.
In contrast, options A), B), and C) do not accurately represent the present value formula and may lead to incorrect calculations.
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By the 46th day, there are 400 water lilies in the pond. the estimate you made:____.a. close to 46 (or exactly right) because it was estimated well.b. too low because the quick exponential growth was not accounted for. c. too high because the exponential growth was overestimated.
By the 46th day, there are 400 water lilies in the pond. the estimate you made: a). close to 46 (or exactly right) because it was estimated well.
We know that the regression equation is: y = 3.915(1.106)ˣ and that the pond can hold 400 water lilies.
y = 3.915(1.106)ˣ
Here, y is equal to the number of water lilies the pond can hold.
So, y = 400
And, x is the required time taken.
So,
400 = 3.915(1.106)ˣ
⇒ (1.106)ˣ = 400/3.915
⇒ (1.106)ˣ = 102.17
Taking logarithm on both sides, we get
log (1.106)ˣ = log (102.17)
⇒ x log (1.106) = log (102.17) .............. [log aˣ = x loga]
⇒ x = [log (102.17)/log (1.106)]
⇒ x = 45.92
x ≅ 46
So, the pond will take 46 days to become full.
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Complete question:
Regression equation: y = 3.915(1.106)ˣ . The pond can hold 400 water lilies. by what day will the pond be full? write and solve an equation. the pond will be full by the end of day.
Answer:
b
Step-by-step explanation:
just did it
The radius of a circle is 19 yards. What is the circle's area?
Answer:
1134.11
Step-by-step explanation:
How do i solve this (Tamgent Segment)
Answer:
5
Step-by-step explanation:
Since DE is tangent to the circle, that means DE is perpendicular to EF
==> DF = sqrt(4^2+3^2) = 5
What is the implied uncertainty for a measurement of 127.4 mL ? What is the uncertain digit?
The uncertain digit in the measurement 127.4 mL is the last digit, which is 4.
In the given measurement of 127.4 mL, the implied uncertainty can be determined by considering the precision of the measurement.
The presence of one decimal place, after the digit 4, suggests that the measurement has a precision of 0.1 mL.
This means that the measurement is accurate to the nearest tenth of a milliliter.
The uncertain digit is the digit that represents the estimated or uncertain value. In this case, the uncertain digit is the last digit, which is 4.
It signifies that there is some level of uncertainty in the exact value of the measurement and that it could vary by ±0.1 mL.
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The local water supply has a leak, it is losing 4 gallons of water every second.
After 15 seconds, the water level is at 1024 gallons. Write an equation to
represent the situation: *
Answer:
An equation to represent the situation would be:
\(y = 4x + 964\)Step-by-step explanation:
Given that the water supply is losing 4 gallons of water every second.
It means the rate of change = 4 gallons per second
Given that after 15 seconds, the water level is at 1024 gallons.So the equation becomes
1024 = 4(15) + b
comparing with the slope-intercept form of the equation of a line
\(y = mx+b\)
where m is the slope (rate of change) and b is the y-intercept
so
\(1024 = 4(15) + b\)
\(1024 = 60 + b\)
\(1024 - 60 = b\)
\(b = 964\)
So, the value of y-intercept i.e b=964
Thus, the equation will be
\(y = mx+b\)
substituting the value rate of change i.e m = 4 and b=964
\(y = 4x + 964\)
Therefore, an equation to represent the situation would be:
\(y = 4x + 964\)I just need the answer.
Answer:
C. 500
Step-by-step explanation:
\(a {(1.1}^{3} ) = 665.5\)
\(1.331a = 665.5\)
\(a = 500\)
The following equation describes the motion of a certain mass connected to a spring, with viscous friction on the surface 3ÿ + 18y + 102y = f(t) where f(t) is an applied force. Suppose that f(t) = 0 for t <0 and f(t) = 10 for t≥ 0. a. Plot y(t) for y(0) = y(0) = 0. b. Plot y(t) for y(0) = 0 and y(0) =
The plot of y(t) will show how the mass oscillates with time, starting from the equilibrium position and gradually coming to rest due to the damping effect of the friction.
The given equation represents the motion of a mass connected to a spring with viscous friction. To plot the displacement, y(t), we need to solve the differential equation. With initial conditions y(0) = 0, we can find the solution using the Laplace transform. After solving the equation, we can plot y(t) for t < 0 and t ≥ 0 separately. For t < 0, the applied force, f(t), is zero, so the mass will not experience any external force and will remain at rest. For t ≥ 0, the applied force is 10, and the mass will respond to this force and undergo oscillatory motion around the equilibrium position.
To solve the given differential equation, we can start by finding the characteristic equation by setting the coefficients of y, its derivative, and its second derivative to zero:
s^2 + 18s + 102 = 0.
Solving this quadratic equation gives us the roots s1 = -3 + 3i and s2 = -3 - 3i. These complex roots indicate that the mass will undergo damped oscillations.
Using the Laplace transform, we can solve the differential equation and obtain the expression for Y(s), the Laplace transform of y(t):
(s^2 + 18s + 102)Y(s) = F(s),
where F(s) is the Laplace transform of f(t). Since f(t) = 10 for t ≥ 0, its Laplace transform is F(s) = 10/s.
Solving for Y(s) gives us:
Y(s) = 10 / [(s^2 + 18s + 102)].
To find y(t), we need to inverse Laplace transform Y(s). Using partial fraction decomposition, we can express Y(s) as:
Y(s) = A / (s - s1) + B / (s - s2),
where A and B are constants to be determined. After finding A and B, we can inverse Laplace transform Y(s) to obtain y(t).
With the given initial condition y(0) = 0, we can solve for A and B by setting up equations using the initial value theorem:
A / (s1 - s1) + B / (s1 - s2) = 0,
A / (s2 - s1) + B / (s2 - s2) = 0.
Solving these equations will give us the values of A and B. Finally, we can substitute these values back into the inverse Laplace transform of Y(s) to obtain y(t).
For t < 0, since the applied force f(t) is zero, the mass will not experience any external force. Therefore, y(t) will remain at its initial position, y(0) = 0.
For t ≥ 0, the applied force f(t) is 10, and the mass will respond to this force and undergo oscillatory motion around the equilibrium position. The displacement, y(t), will depend on the properties of the mass, the spring, and the viscous friction. The plot of y(t) will show how the mass oscillates with time, starting from the equilibrium position and gradually coming to rest due to the damping effect of the friction.
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a girl bought 3 sachets of detergent for 120 .for how much would she buy 20 sachers
Write the equations that model this problem:
Sanji bought 5 pears and 3 apples for $5.80. Ursula bought 10 pears and 7 apples for
$12.20.
How much world a pears cost and apples
what is the slope of 2x-4y=5
Answer:
1/2 or .5
Step-by-step explanation:
Hey There!
So the first step of this problem is to get y on one side and everything else on the other side
to do so we use inverse operations
so to get rid of the 2x we subtract 2x from each side
we would end up with -4y=5-2x
now want to get rid of the -4 on the y
to do so we would divide each side by -4
we would end up with
\(y=\frac{1}{2}x -\frac{4}{5}\)
so we can conclude that the slope is 1/2 or .5
Give the opposite of the opposite of the integer: 4
Answer:
-4?
Hope I helped
Answer:
4
Step-by-step explanation: