Answer:
(x-2) 2
Step-by-step explanation:
Answer:
We see that the equation: x^2 - 4x + 4 is a perfect square trinomial as it is in the form of a^2 + 2ab + b^2, meaning that it is the square of a binomial. In this case, we see that we can multiply (x-2) with itself to obtain x^2 - 4x +4.
So the factored form is : (x-2)^2, or (x-2)(x-2)
We can check this by multiplying this out, and we obtain the same trinomial.
x^2-2x-2x+4
x^2-4x+4
Let me know if this helps!
Write \(cot^{2} x (1+tan^{2} x)\) Then simplify the expression so no quotients appear
Step-by-step explanation:
\( { \cot^{2}x}(1 + \tan^{2}x) \\ = \frac{1}{ \tan^{2}x} (1 + \tan^{2}x)\)
\( = \frac{1}{ \tan^{2}x } + 1\)
\( = \frac{ \cos^{2} x }{ \sin^{2}x } + 1 = \frac{ \cos^{2}x + \sin^{2}x}{ \sin^{2} x } \)
\( = \frac{1}{ \sin^{2}x } = \csc^{2} x\)
Ruth makes 1 fruit smoothie. she drinks 1/3 of it. what fraction of the fruit smoothie is left
We have to subtract 1/3 to 1, as follows:
\(1-\frac{1}{3}=\frac{1\cdot3-1}{3}=\frac{2}{3}\)2/3 of the fruit smoothie is left
Multiplying Polynomials
Find each product.
1) 6v(2v + 3) 2) 7(−5v − 8)
3) 2x(−2x − 3)
A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.
Multiplying Polynomials Find each product. 1) \(6v(2v + 3) 2) 7(-5v - 8)3) 2x(-2x -3)6v(2v + 3)\)
To distribute the 6v over the binomial 2v + 3, we multiply 6v by each term inside the parenthesis:
\(6v(2v) + 6v(3)\)
\(= 12v^2 + 18v7(-5v - 8)\)
To distribute the 7 over the binomial -5v - 8, we multiply 7 by each term inside the parenthesis:
\(7(-5v) + 7(-8)= -35v - 562x(-2x - 3)\)
To distribute the 2x over the binomial -2x - 3, we multiply 2x by each term inside the parenthesis:
\(2x(-2x) + 2x(-3)= -4x^2 - 6x\)
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Solve the system of equations by a method of your choice 4x - 3y = 11 7x + 5y = 9 The solution of the system is x= and y=0 (Type Integers or simplified fractions.)
The given system of equations is: 4x - 3y = 11 and 7x + 5y = 9. The solution to the system of equations is x = 2 and y = -1
To solve this system of equations, we can use the method of substitution or the method of elimination. Let's solve it using the method of elimination:
We can eliminate one variable by multiplying the first equation by 5 and the second equation by 3:
(5)(4x - 3y) = (5)(11) -> 20x - 15y = 55
(3)(7x + 5y) = (3)(9) -> 21x + 15y = 27
Now, we can add the two equations together:
(20x - 15y) + (21x + 15y) = 55 + 27
41x = 82
x = 2
Substituting the value of x back into the first equation:
4(2) - 3y = 11
8 - 3y = 11
-3y = 11 - 8
-3y = 3
y = -1
Therefore, the solution to the system of equations is x = 2 and y = -1.
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What's wrong with camping in the Sahara Desert
Answer:
The northeastern winds dry out the air over the desert and drive hot winds toward the equator. These winds can reach exceptional speeds and cause severe dust storms that can drop local visibility to zero. So basically you won’t be able to do anything, you would be dieting of heat, and won’t be able to see, so that Is whats wrong with camping in the Dahara Desert.
A researcher obtains z = 1.80 for a one-sample z test. What is the decision for this test at a .05 level of significance?
Group of answer choices
a. to reject the null hypothesis
b. to retain the null hypothesis
c. It depends on whether the test is one-tailed or two-tailed.
d. There is not enough information to make a decision.
The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).
To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).
For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.
Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.
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Which of the following statements best describes why the mass of a bowling ball would not change if it were transported from Earth to the Moon?
A Gravity is a constant force.
B The bowling ball will adapt to the changes in gravity.
C Matter is resistant to acceleration and changes in gravity.
D The amount of matter in the bowling ball remains the same.
Answer:
It’s d
Step-by-step explanation:
What is the percent of change from 800,000 to 80,000?
Solution for 80000 is what percent of 800000:
80000:800000*100 =
(80000*100):800000 =
8000000:800000 = 10
Now we have: 80000 is what percent of 800000 = 10
four students write algebraic math expressions and equations on their whiteboard. Which of the following students wrote expressions?
Answer:
Expressions: Student 1 and 4
Equations: Student 2 and 3
Step-by-step explanation:
Equations have an = sign. Expressions do not.
need quick help on this math problem
The length QN on the triangle is 54 units
How to determine the length QNFrom the question, we have the following parameters that can be used in our computation:
Point P = Centroid
Also, we have
QP = 18
The centroid divides each median into the ratio 2:1.
Using the above as a guide, we have the following:
QN = 3 * QP
Substitute the known values in the above equation, so, we have the following representation
QN = 3 * 18
Evaluate
QN = 54
Hence, the length is 54 units
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could you tell me how to solve this 1.25×10^-2
Paying anybody who wants to do my homework not hard simple stuff willing to pay up to 500 Dollars!
Answer:
Bro, Pick me
Step-by-step explanation:
Seriously, I'll do it
Answer:
I'll do it
Step-by-step explanation:
I'll do it for cheaper than $500
Help? Please I’m desperate
Answer:
its called a calculator division and multiplication
Step-by-step explanation:
Please help. What is the answer!?
Answer:
4/19
Step-by-step explanation:
because, in the sequence they are subtracting 3 in each one it goes so, first it was 16-3= 13, 13-3= 10, and so on. Hope I helped :3
a cylindrical tank standing upright has a radius of 20cm. how fast does the water level in the tank drain
A cylindrical tank standing upright has radius 20cm. If the water is being drained at rate 25 cm³/s the tank level drops at rate 0.02 cm/s.
Recall the formula for the volume of a cylinder:
V = πr². h
Where:
r = radius of the base
h = height of the cylinder
Take the derivative with respect to t
dV/dt = πr². dh/dt
Substitute dV/dt = 25 cm³/s and r = 20 cm:
25 = π x 20² x dh/dt
dh/dt = 25 / (400π) = 0.02 cm/s
Therefore, the level of the cylindrical tank drops at rate 0.02 cm/s
Complete question:
A cylindrical tank standing upright has radius 20cm. How fast does the water level in the tank drop when the water is being drained at 25 cm³/s?
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4. Triangle JGR is similar to triangle MST. Which statement is not always true?
1) 27. ZM
2) ZG-ZT
3) ZREZT
4) ZG. ZS
Given that triangle JGR is similar to triangle MST.Here, the value of one angle of both triangles is equal to each other and they are in the same ratio. We need to identify the statement which is not always true.
So, let's see each statement one by one.1) 27. ZMWe are not given with angle measurement here. Hence, we cannot comment on this statement.2) ZG-ZTWe are not given with any information related to the measurement of the angles. Hence, we cannot comment on this statement.3) ZREZTIn similar triangles, corresponding angles are equal. Hence, the angle ZRE and ZTS are equal. This statement is always true.4) ZG. ZSHere, we can see that this statement does not represent the information related to angle measure of the given triangles. Hence, this statement is not always true.Therefore, the correct option is 4) ZG. ZS.
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We cannot assume that angle M in triangle MST is equal to angle 27 in triangle JGR. option 1 is the correct answer.
Based on the given information, the statement "27. ZM" is not always true. The reason is that the angles of similar triangles are corresponding angles and have equal measures, but there is no given correspondence between the angle M in triangle MST and any angle in triangle JGR.
Given, triangle JGR is similar to triangle MST.
To find which statement is not always true from the given options.
The corresponding sides of the two similar triangles are proportional to each other.
Therefore, by comparing the two triangles JGR and MST, we get:
ZM/MS = GR/GTZG/GT
= JR/MTZR/MS
= JR/MTZM/MS
= GR/GSZG. ZS
= JR. MT1) ZM is not always true.
Hence, option 1 is the correct answer.
2) ZG-ZT is true.
3) ZREZT is true.
4) ZG. ZS is true.
Therefore, option 1 is the correct answer.
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Which point is in Quadrant IV?
Answer:
1,1 or -1,3
Step-by-step explanation:
Answer:
h
Step-by-step explanation:
bottom right quadrant is IV
A firm experiences_______ if inputs are doubled and output more than doubles. diminishing marginal rate of technical substitution diminishing marginal product decreasing returns to scale increasing returns to scale
A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.
When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.
The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.
This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.
The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.
Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.
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In a survey of a school, it was found that 30% of student failed in Nepali, 27% student failed in English and 15% student failed in both. (a) What percentage of student passed in both subjects? (b) Represent the above information in Venn- diagram.
(a)
Let X be the percentage of students who passed in both Nepali and English. Then the percentage of students who failed in at least one of the subjects would be:
Percentage of students who failed in Nepali = 30%
Percentage of students who failed in English = 27%
Percentage of students who failed in both subjects = 15%
Therefore, the percentage of students who failed in at least one of the subjects would be:
30% + 27% - 15% = 42%
This means that the percentage of students who passed in both subjects would be:
100% - 42% = 58%
Therefore, 58% of students passed in both Nepali and English.
____________
/ \
/ \
/ NE \
/ \
/____________________\
EN
NE: Nepali
EN: English
The left circle represents Nepali, the right circle represents English, and the overlap represents students who failed in both subjects. The percentage values can be added to each section of the Venn diagram to make it clearer.
find the sum of the first 16 terms of the arithmetic sequence: 8,11,14,17,20,...
Answer:
S₁₆ = 488
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 8 and d = a₂ - a₁ = 11 - 8 = 3 , then
S₁₆ = \(\frac{16}{2}\) [ (2 × 8) + (15 × 3) ]
= 8(16 + 45)
= 8 × 61
= 488
Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?
Answer:
55
Step-by-step explanation:
If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.
.
The method of completing the square can be used to transform the equation x² - 6x + 8 = 0 into the form (x-p)² = q
Answer:
p = 3, q = 1
Step-by-step explanation:
well, let's think about what (x - p)² actually is.
let's do the multiplication (what a square is) :
(x - p)(x - p) = x² - px - px + p² = x² - 2px + p²
now, we compare the theoretical equation to the actual equation :
x² - 6x + 8 = 0
x² - 2px + p² = q
x² = x² check
-6x = -2px
-6 = -2p
p = -6/-2 = 3
that gives us
x² - 6x + 9 = q
compare this to
x² - 6x + 8 = 0
we subtract the second equation from the first
x² - 6x + 9 = q
- x² - 6x + 8 = 0
------------------------
0 0 1 = q
there you have it.
Find the surface area of the regular pyramid.
Answer:the surface area of the pyramid is
16 square feet
Step-by-step explanation:
I found this on a website called quizlet and it showed the answer to this problem
Please help I don't know how to do it
The value of x is obtained as follows:
128º.
The measure of angle A is given as follows:
m < A = 132º.
How to obtain the measures?For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:
5x - 508 = x + 4.
4x = 512
x = 512/4
x = 128.
Then the measure of angle A is given as follows:
m < A = 5(128) - 508
m < A = 132º.
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the superintendent of a school district must decide whether to hire additional teachers. if she hires the teachers, the student-teacher ratio will drop by 2, and student performance will improve. under the assumption that student performance is measured by a test score, she estimated a regression model using the test score as the dependent variable, and the student-teacher ratio as the independent variable. the intercept and the coefficient are estimated to be 800 and -8, respectively. if she hires additional teachers to reduce the ratio by 2, what would be its predicted effect on the test score? a. the test score will decrease by 800 points. b. the test score will increase by 792 points. c. the test score will increase by 8 points. d. the test score will increase by 16 points. e. the test score will decrease by 8 points.
We are given a regression model: test score = 800 - 8(student-teacher ratio)
If the student-teacher ratio drops by 2, then the new ratio is (old ratio - 2).
So, the new predicted test score is:
test score = 800 - 8(new ratio)
= 800 - 8(old ratio + (-2))
= 800 - 8(old ratio) - 8(-2)
= 800 - 8(old ratio) + 16
Therefore, the predicted effect on the test score is an increase of 16 points.
So, the answer is (d) the test score will increase by 16 points.
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i need the answer asap
Answer:
(a) 1.353 x 10^9
Step-by-step explanation:
Jumping 9 places back to obtain standard form
i don't get it like i don't even know what i'm looking at
Answer:
Answer(s): 15m
20(m-0.25m)
Step-by-step explanation:
find the area under the standard normal curve over the interval specified below to the right of z=3
The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.
For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.
The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.
Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.
The cumulative probability for z = 3 is approximately 0.9987.
For the area to the right of z = 3, we subtract the cumulative probability from 1.
Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.
In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.
This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.
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what is a hypothesis? what is the null hypothesis? what is the alternate hypothesis? how is reasonable doubt raised about a null hypothesis? what is a p-value? after analyzing a set of data, if the results support a hypothesis, does that prove the hypothesis is true? explain. after analyzing a set of data, if the results are inconsistent with a hypothesis, does that prove the hypothesis is false? explain. briefly describe the reasoning of hypothesis testing. explain the difference between a two-sided alternative hypothesis and a one-sided alternative hypothesis. which test is more conservative, a one-sided or two-sided test? how do we measure the size of the effect when we test a hypothesis?
A hypothesis is an educated guess about a phenomenon that can be tested through experimentation or observation. The null hypothesis is the hypothesis that nothing is happening, and the alternative hypothesis is the hypothesis that there is an effect or difference. Reasonable doubt about a null hypothesis can be raised by finding evidence that contradicts it. A p-value is the probability that the results obtained in a study or experiment occurred by chance alone.
After analyzing a set of data, if the results support a hypothesis, this does not prove the hypothesis is true. This means the hypothesis is consistent with the data but further evidence or experimentation must be done to truly prove the hypothesis. After analyzing a set of data, if the results are inconsistent with a hypothesis, this does not prove the hypothesis is false. It could be due to chance or an inadequately tested hypothesis.
The reasoning of hypothesis testing is to determine if the results of a study or experiment support the null hypothesis or alternative hypothesis. A two-sided alternative hypothesis is when the difference between two groups is tested to be either greater or lesser than the reference value, whereas a one-sided alternative hypothesis tests the difference to be only greater or lesser than the reference value. A one-sided test is more conservative than a two-sided test as the former has a higher risk of making a type II error. The size of the effect when testing a hypothesis can be measured by the power of the test and the magnitude of the effect.
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Please help help pls :-
Answer:
840 cm can I have brainliest
Step-by-step explanation:
V = 12*7*10
V = 840 cm