What type of polynomial is the following?*1point1 point5x²y3 + 3x3MonomialBinomialTrinomial
Answers
The polynomial in question is a binomial.
a binomial polynomial contains two algebraic terms in the expression. the expression here contains 5x2y3 and 3x3
Related Questions
-5x² – 2x+10 - x² + 7x +5
Answers
Answer:
-6x² + 5x + 15
Step-by-step explanation:
Combine like terms. Like terms are terms with the same amount of variables.
Reorder based on descending powers:
-5x² - x² + 7x - 2x + 10 + 5
(-5x² - x²) + (7x - 2x) + (10 + 5)
(-6x²) + (5x) + (15)
-6x² + 5x + 15 is your answer.
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AIJK = APQR. If mzi = 3x + 4and mZP = 72 – x, thendetermine the value of x.
Answers
Given:
• ΔIJK ≅ ΔPQR
,• m∠I = 3x + 4
,• m∠P = 72 - x
Let's find the value of x.
Since both triangles are congruent, their corresonding angles will be equal.
The corresonding angles are:
∠I = ∠P
∠J = ∠Q
∠K = ∠R
To find the value of x given that both triangles are congruent, we have:
\(\begin{gathered} m\angle I=m\angle P \\ \\ 3x+4=72-x \end{gathered}\)Let's solve for x.
Subtract 4 and add x to both sides:
\(\begin{gathered} 3x+x+4-4=72-4-x+x \\ \\ 4x=68 \end{gathered}\)Divide both sides by 4:
\(\begin{gathered} \frac{4x}{4}=\frac{68}{4} \\ \\ x=17 \end{gathered}\)Therefore, the value of x is 17
ANSWER:
17
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 121 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.21 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
Answers
The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.
Step 1: State the hypotheses.
- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).
- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).
Step 2: Compute the value of the test statistic.
To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).
The formula for the z-test statistic is:
z = (X- μ) / (σ / √n)
Where:
X is the sample mean (4.21 cm),
μ is the population mean (4.00 cm),
σ is the population standard deviation (0.83 cm), and
n is the sample size (121).
Plugging in the values, we get:
z = (4.21 - 4.00) / (0.83 / √121)
z = 0.21 / (0.83 / 11)
z = 0.21 / 0.0753
z ≈ 2.79 (rounded to two decimal places)
Step 3: Determine the critical value and make a decision.
With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.
For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).
Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.
Conclusion:
Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.
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Determine whether the variable is qualitative or quantitative. Explain your reasoning. favorite city
Answers
Answer:
Qualitative variable.
See explanation below.
Step-by-step explanation:
In research we have two types of variables: the quantitative and the qualitative variables.
A quantitative variable is a variable that is a number, for example: age, height, number of years of school. These type of variables are only numbers.A qualitative variable is a variable that is not a number but rather a category of data. For example: your name, your gender, your favorite food. All these examples are not numbers but categories.In this example we are asked about our favorite city, we can see that the possible answers for this question are: Dallas, Seattle, Washington, Paris, etc.. these are not numbers so therefore this is an example of qualitative variable.
each shape is 1 whole. write a fraction in standard form, word form, and numerical-word form for the parts that are shaded
Answers
If each shape is 1 whole and the circle is divided in half and shaded on both sides, then the fraction of the shaded part would be \(\frac{1}{2}\).
In standard form, the fraction \(\frac{1}{2}\) is already in its simplest form, as both the numerator and denominator have no common factors other than 1. In word form, the fraction \(\frac{1}{2}\) can be expressed as "one-half," which indicates that one of the two equal parts of the circle is shaded. In numerical-word form, the fraction \(\frac{1}{2}\) can be written as "0.5" or "zero point five," which represents the decimal equivalent of the fraction. This form is useful when working with measurements and calculations that involve fractions.
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The complete question is:
Each shape is 1 whole. Write a fraction in standard form, word form, and numerical-word form for the parts that are shaded
The products of (2,3) and (-2,-3) is
Answers
Answer:
(-4,-9)
Step-by-step explanation:
multiply (a,b)
In a survey,20% chose green as there favorite color. If 46 people chose green?how many people were surveyed? Pls need help ASAP!!! I will check as brainlist!!
Answers
Answer:
There were 54
Step-by-step explanation:
As you said 46 people were surveyed maybe there's 100 people were surveyed so this is my first answer
Pls help. Will give brainliest.
Answers
From the graph, we get that:
The domain is (-4,4).
The function has no zeros.
The function is positive in the interval (-4, 0].
The function is negative in the interval (0,4).
------------------------------------
The domain of a function is the set that contains all the possible input values. In a graph, it is the values of the x-axis, that is, the horizontal axis.
In this question, the values of x are in the interval of (-4,4) thus, the domain is (-4,4).
The zeros are the values of x for which y = 0, that is, the values of x where the function crosses the horizontal axis. In this question, the function does not cross the horizontal axis, thus, it has no zeros.
The function is positive when the graph is above the horizontal axis. In this question, it is in the interval (-4,0].
The function is negative when the graph is below the horizontal axis. In this question, it is in the interval (0,4).
A similar problem is given at brainly.com/question/24493729
2. How many radians are in 27"?
Answers
The answer is 0.471 radians.
FORMULA:
Just do 27° × π/180 = 0.4712rad but then cut off the two.
HELP 6TH GRADE MATH
Enter the phrase as an algebraic expression. b divided by 9
Answers
Answer:
\(\frac{b}{9}\) An algebraic expression is just an equation without an answer
PLEASE HELP WITH THIS! PLEASE! SURFACE AREA. I HAVE NO CLUE!!
Answers
Answer: 626 yd^2
Step-by-step explanation: First you need to split the figure into 2 rectangular prisms (see attached image). The tallest rectangular prism has a length of 12 yd, a width of 3 yd, and a height of 11 yd. The shorter one has a length of 12yd, a width of 4 yd, and a height of 4 yd. The surface area equation is SA=2(wl+hl+hw). First solve for the taller rectangular prism. SA=2(3x12+11x12+11x3). SA=2(36+132+33). SA=2(201). SA=402 yd^2. Now solve for the smaller rectangular prism. SA=2(4x12+4x12+4x4). SA=2(48+48+16). SA=2(112). SA=224 yd^2. Lastly, add both values together. 402+224=626 yd^2.
if the mean of x,x+3,x-5,2x and 3x then find the value of x
Answers
The Value of x is 2/3.
The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.
The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.
Mean = (x + x+3 + x-5 + 2x + 3x) / 5
Next, we simplify the expression:
Mean = (5x - 2 + 3x) / 5
Mean = (8x - 2) / 5
We are given that the mean is also equal to x:
Mean = x
Setting these two expressions equal to each other, we have:
(x) = (8x - 2) / 5
To solve for x, we can cross-multiply:
5x = 8x - 2
Bringing all the x terms to one side of the equation and the constant terms to the other side:
5x - 8x = -2
-3x = -2
Dividing both sides by -3:
x = -2 / -3
Simplifying, we get:
x = 2/3
Therefore, the value of x is 2/3.
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question is in the picture pls help me. much appreciated
Answers
So 2y-3+ 2y-3 = 12 or 4y-6= 12
Add 6 to both sides 4y=20
Divide 4 from both sides y=5
Hope this helps
Josh has a rewards card for a movie theater.
• He receives 15 points for becoming a rewards card holder.
• He earns 3.5 points for each visit to the movie theater.
• He needs at least 55 points to earn a free movie ticket.
Which inequality can Josh use to determine x, the minimum number of visits he needs
to earn his first free movie ticket?
Answers
Answer:
He would need to visit a minimum of 12 times
Step-by-step explanation:
Verify that segments with lengths of 21 inches, 72 inches, and 75 inches form a triangle. If so, determine whether they form a right triangle.
A. triangle, right triangle
B. triangle, isosceles triangle
C. triangle, obtuse triangle
D. triangle, acute triangle
Answers
Answer:
it would be C
Step-by-step explanation:
Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m
Answers
Step-by-step explanation:
directly proportional means
y = kx
with k being a constant factor for all values of x.
we get k by using the given data point (10, 15).
15 = k×10
k = 15/10 = 1.5
so, now for the other tree we know k and x and calculate y
y = 1.5×14.4 = 21.6 m
it is 21.6 m tall (its height is 21.6 m).
Q
100%
Laurissa rolls two number cubes, each with the numbers 1 through 6. Laurissa adds the numbers that appear on the roll.
Which two sums have an equal chance of occurring?
A. 3 and 11
B. 4 and 7
C. 5 and 8
D. 6 and 9
Answers
Answer:
Step-by-step explanation:
it’s B
7 and 4 is the only number that has a unique chance. The correct option is B.
What are permutation and combination?Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.
Let's analyze the possible sums of both dice, using the notation:
Dice₁ + Dice₂ = sum.
Also remember that we have 2 dice, with 6 options each. The total number of combinations is 6 x 6 = 36. we have 36 possible outcomes.
I will start at the extremes, the minimum that we can sum is 2, and the maximum is 12, then:
We can have 2 if:
1 + 1 = 2
Only one permutation.
and 12 if:
6 + 6 = 12
Again, only one permutation.
so 2 and 12 have the same chance (1 out of 36)
now, to have 3 we can have the:
2 + 1 = 3
1 + 2 = 3.
and to have 11
5 + 6 = 11
6 + 5 = 11
Again, 3 and 11 have the same probability (2 out of 36 options)
And now we can see a pattern.
4 and 10 will have the same chance.
5 and 9 will have the same chance
6 and 8 will have the same chance
7 is the only number that has a unique chance (and it has the largest one)
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What is the zero of the function?
f(x)=x2−x−6/x2−8x+15
Answers
Rational Function: any function that is found by a rational fraction.
Its form: \(\frac{1}{x}\)
Finding Zeros of a Rational Function:
Factor Numerator and denominator
\(f(x)=\frac{(x-3)(x+2)}{(x-5)(x-3)}\)
2. Find restrictions by equating the denominator to 0
\(x-5=0\) \(x-3=0\) when x=-5 and 3, the function is undefined
\(x=-5\) \(x=3\)
3. Set the numerator equal to zero
\(x-3=0\) \(x+2=0\)
\(x=3\) \(x=-2\)
Be careful - since we have x-3 on both the numerator and denominator the graph will not intersect the x-axis at that point. This is what is called a removable discontinuity.
Therefore, the only zero occurs at (-2,0)
how many integers between 2023 and 5757 have 12, 20, and 28 as factors
Answers
Answer:
9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
Step-by-step explanation:
An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.
The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.
The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:
5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9
So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
a store advertises a 20% markdown on a dishwasher that normally sells for $952. what is the price on sale
Answers
The price on sale of the dishwasher is $201.6
How to determine the price on sale?From the question, we have the following parameters that can be used in our computation:
Mardown = 20%
Selling price = $252
The price on sale of the dishwasher is calculated using the following equation
Price on sale = Selling price * (1 - Mardown)
Substitute the known values in the above equation, so, we have the following representation
Price on sale = 252 * (1 - 20%)
Evaluate
Price on sale = 201.6
Hence, the price is $201.6
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what is the value of 6/15 ÷ 2/3? write your answer in simplest form
Answers
Answer:
pretty sure its 3/5
Step-by-step explanation:
....................
Answer:
\(\frac{3}{5}\)
Step-by-step explanation:
\(--------------------------------------------\)
\(\frac{6}{15}\) = \(0.4\)
\(\frac{2}{3}\) = \(0.6666666667\)
\(0.4\) ÷ \(0.6666666667\) = \(0.6\)
\(or\)
\(\frac{6}{15}\) ÷ \(\frac{2}{3}\) = \(?\)
\(\frac{2}{3}\cdot\frac{5}{5}\) = \(\frac{10}{15}\)
\(\frac{6}{15}\div\frac{10}{15}\) = \(?\)
\(\frac{3}{5}\) = \(Answer\)
\(--------------------------------------------\)
Hope this helps! <3
\(--------------------------------------------\)
Use the definition of continuity and the properties of limits to show that the function
Answers
The given function is continuous at x = 3, RHL = LHL = F(2)
What is continuity ?In mathematics, The function is called as continuous at the particular value of x, if right hand limit, left hand limit and the value of function at x all are equal.
RHL = LHL = F(x)
Limit exist and continuous
Given that,
F(x) = (x²-9)/(x² - x -6)(x² + 6x +9)
To check whether it is continuous at x = 2
First taking LHL,
\(\lim_{h \to \ 0}\) ((2-h)²-9)/((2-h)² - (2-h) -6)((2-h)² + 6(2-h) +9)
⇒ -5/(-4x25)
⇒ 1/20
Now, taking RHL
\(\lim_{h \to \ 0}\) ((2+h)²-9)/((2+h)² - (2+h) -6)((2+h)² + 6(2+h) +9)
⇒ -5/(-4x25)
⇒ 1/20
The value at x = 3
F(3) = ((2)²-9)/((2)² - (2) -6)((2)² + 6(2) +9)
= -5/(-4x25)
= 1/20
Hence Proved, RHL = LHL = F(2)
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Classify the expression: −2x
Answers
Answer:
linear expressions is the answer
Find the interest.
. 750$, 6.5%, 2years
Answers
Answer:
simple interest=$97.50.
compound interest= $100.668
Step-by-step explanation:
Given:
Principal (P) = $750
Rate (R) = 6.5% (in decimal form, 0.065)
Time (T) = 2 years
Simple Interest = Principal*Rate*Time
Using the formula, the simple interest is calculated as follows:
Simple Interest = $750*0.065*2 = $97.50
Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.
Again:
Compound Interest = Principal*(1 + Rate)^(Time)-Principal
Using the same values as above, the compound interest can be calculated as follows:
Compound Interest = $750*(1+0.065)^(2)-$750
= $750*1.065^2 -$750
= $750 × 1.134225 - $750
= $850.66875-$750
= $100.668
Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668
look at attachment!!!!
Answers
Answer:
x = 5
Step-by-step explanation:
We know that BD = 2x - 1 and BC + CD = BD. Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:
BC + CD = BD
x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
x + 5 = 2x
5 = x
Thus, x = 5
Checking the validity of our answer:
We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:
5 - 3 + 7 = 2(5) - 1
2 + 7 = 10 - 1
9 = 9
Thus, our answer is correct.
find the sum of all two digit whole numbers which are divisible by 11?
Answers
Answer:
all two digit whole number which are divisible by 11 are
22+33+44+55+66+77+88+99=484
Answer: 495
Step-by-step explanation:
11+22+33+44+55+66+77+88+99 =495
How to make 10.74 in two different ways?
Answers
Answer:
Step-by-step explanation:
1074/100
1.074*10
0.1074*10
107.4/10
10740/1000
Write an explicit and a recursive formula for the sequence.
1, 7, 13, 19, 25, ...
Write an explicit formula. ▸
an (Simplify your answer.)
Answers
Answer:
The common difference equals: 6
The sum of the sequence equals: 176
The explicit formula of this sequence is: a_n=1+(n-1)*6
The recursive formula of this sequence is: a_n=a_((n-1))+6
1,7,13,19,25,31,37,43,49,55,61...
Step-by-step explanation:
nice :0
The Houston Armadillos, a minor-league baseball team, play their weekly games in a small stadium just outside Houston. The stadium holds 10,000 people and tickets sell for $10 each. The franchise owner estimates that the team's annual fixed expenses are $180,000, and the variable expense per ticket sold is $1. (In the following requirements, ignore income taxes.)
Answers
Answer:
Required
1. What is the break-even point in tickets?
2. How many tickets must be sold to earn a profit of $30,000?
3. How many tickets must be sold to earn a profit of $100,000?
Step-by-step explanation:
Factorise fully the following 2x+8
Answers
Where 2 is the common factor.