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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What are the coefficients in the polynomial 4x²+3x-3?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
Coefficient:- A number before a variable
Coefficients in this polynomial:-
4 (the number before x²) and 3 (the number before x)
So we conclude that the right option is:-
[tex]\bigcirc\!\!\!\!\!\large\checkmark[/tex] 4, 3 (Option B)
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a piece of string measures 2 16/20 meters which of the following is equivalent to the length of the string in meters
The equivalent to the length of the string in meters is 14 / 5 meters
How to find the equivalent length of a string?The length of the string is expressed in a mixed fraction form.
length of the string = 2 16 / 20
let's express it in a simplified form. This is usually in an improper fraction form.
Therefore,
2 16 / 20 = 56 / 20
Hence,
56 / 20 = 14 / 5 meters
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A group of students want to determine if a person's height is linearly related to the distance they are able to jump.
To determine the relationship between a person's height and the distance they are able to jump, the group of students measured the height, in inches, of each person in their class and then measured the distance, in feet, they were able to jump from a marked starting point.
Each student was given three tries at the jump and their longest jump distance was recorded. The data the students collected is shown below.
Enter the correlation coefficient. Round your answer to the nearest hundredth.
The correlation coefficient is 0.92
What is Correlation Coefficient ?
A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.
In other words, it reflects how similar the measurements of two or more variables are across a dataset.
When one variable changes, the other variables change in the same direction or opposite direction.
Perfect positive correlation :When one variable changes, the other variables change in the same direction.
Perfect negative correlation :When one variable changes, the other variables change in the opposite direction.
[tex]\rm r = \dfrac{\sum (x_{i}-x')(y_{i}-y')}{\sqrt {\sum (x_{i}-x')^{2} \sum (y_{i}-y')^{2}}}[/tex]
After calculation we get
r = 0.92
Therefore it is a Perfect positive correlation
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easy question quickly please!!!
Answer:
D
Step-by-step explanation:
4 x 8 = 32
4 x 16 = 64
4 x 32 = 128
4 x 64 = 256
They can be multiplied by something and 4
I need help I don’t know the answer
Answer: The date tree is 3 times as tall as the lemon tree
Step-by-step explanation:
There are two trees.
Date tree = unknown height
Lemon tree = 8 feet
Equation
? = 3 x 8
We can assume that the 8 in the equation is the height of the lemon tree since it was already given. The equation's purpose is to find the height of the date tree resulting in 3 times 8 which is 24.
If we compare their heights, we can say that the date tree is 3 times taller than the lemon tree since 24 is 3 times greater than 8.
A classroom floor is 20 metres wide.
If the total area of the floor is 300 square metres, how long is it?
Answer:
It is 15 m long.
Step-by-step explanation:
Given
width (b) = 20 m
Area of the floor (A) = 300 m^2
Length (L) = ?
we know
A = L * b
300 = L * 20
L = 15 m
Hope it will help :)
Help me pleaseeee 25 points.
area of semicircle + area of square + area of semicircle
I think 149.04 in²
Why is Dexter’s claim incorrect? 8-4 Additional practice
By talking to his baby sister differently from the way he speaks to his teacher, this shows that he is developing an understanding of pragmatics.
What is pragmatics?This can be used to explain the part of linguistics that has to do with the use of language in its given context.
The use of pragmatics comes up in conversations, and implications of what is being said.
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Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s gross profit margin. a. 42.5% b. 55.7% c. 76.3% d. 179.5%
Answer:
actually its A... i know cause i got it WRONG
Step-by-step explanation:
The gross profit margin for Korey’s Comics given the net sales, gross profit and net income is 76.3%.
What is the gross profit margin?Gross profit margin is a profitability ratio. It is used to measure the financial health of a company and used to determine the efficiency with which the firm generates profits.
Gross profit margin = gross profit / net sales
3320 /3320 = 76.3%
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12
y
8
41.81
48.199
33.69
56.31
ninate Education, Inc.
Answer:
hope this help you
Step-by-step explanation:
[tex] \cos(y) = \frac{b}{h} \\ \cos(y) = \frac{8}{12} \\ y = \cos {}^{ - 1} ( { 0.6666}^{ } ) \\ y = 48.19[/tex]
Which of the following is in standard form of quadratic?
If you help me you have a special place in my heart forever I swear .
Answer:
x = 9
y = 116
Step-by-step explanation:
116 and y are vertically opposite angles.
Vertically opposite angles are equal.
So,
y = 116
116 and ( 13x - 53 ) are linear pair angles.
Sum of linear pair angles is 180,
13x - 53 + 116 = 180
13x + 63 = 180
Subtract 63 on both sides,
13x = 180 - 63
13x = 117
Divide 13 on both the sides,
x = 117 / 13
x = 9
Clay and his friend Lacey are making cookies for the school dance. Clay started early and has already made 3 dozen cookies. He can make an additional 2 dozen cookies an hour. Lacey has not started making cookies yet, but she has a bigger oven and can make 4 dozen cookies an hour. If Lacey starts baking her cookies right away, how long will it take for her to have made as many cookies as Clay? How many cookies will they each have made?
HELP PLEASE
If Lacey starts baking her cookies right away, then the time is taken for her to have made as many cookies as Clay will be 1.5 hours.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Clay and his friend Lacey are making cookies for the school dance.
Clay started early and has already made 3 dozen cookies.
He can make an additional 2 dozen cookies an hour.
Lacey has not started making cookies yet, but she has a bigger oven and can make 4 dozen cookies an hour.
Let y be the number of the cookies (in dozen) and x be the number of the hours.
Then the equations will be
y = 2x + 3 ...1
y = 4x ...2
If Lacey starts baking her cookies right away, then the time taken for her to have made as many cookies as Clay will be
From equations 1 and 2, we have
2x + 3 = 4x
2x = 3
x = 1.5
Then the number of hours will be 1.5 hours.
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A total of 337 tickets were sold for the school play. They were either adult tickets or student tickets. There were 73 fewer student tickets sold than adult tickets. How many adult tickets were sold?
The total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the number of adult tickets is x
So the number of student tickets is (x-73)
x + (x-73) = 337
2x—73 = 337
2x = 410
x = 205 tickets
Thus, the total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.
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if a+b = -6 , a^2 + b^2 = 20 then ab =
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
By squaring the sum of two variables identity ~
[tex]\qquad \sf \dashrightarrow \:(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab[/tex]
Now, plug in the given values ~
[tex]\qquad \sf \dashrightarrow \:( - 6) {}^{2} = 20 + 2ab[/tex]
[tex]\qquad \sf \dashrightarrow \:36 = 2(10 + ab)[/tex]
[tex]\qquad \sf \dashrightarrow \:10 + ab = 36 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:10 + ab = 18[/tex]
[tex]\qquad \sf \dashrightarrow \:ab = 18 - 10[/tex]
[tex]\qquad \sf \dashrightarrow \:ab = 8[/tex]
I hope it was clear through my steps ~
Answer:
8
Step-by-step explanation:
(a+b)^2 = (-6)^2
a^2 + 2ab + b^2 = 36
a^2 + b^2 = 36 - 2ab
Equating 36 - 2ab with 20
36 - 2ab = 20
2ab = 16
ab = 8
Hope this helps out, feel free to mark this answer as brainliest :)
1. 2x - 12 = 6
2. 2x + 6= 8
3. 12 = 12s - 12
4. 14s + 6 = 35
5. 3s - 12 = 6
6. 18t + 9 = 34
7. 21x + 7 = 28
8. 105 = 50y + 5
9. 1/4x - 6 = 24
10. 13x + 2 = 18
11. 6 - 3x = 18
12. 14 + s = 21
13. 28 = 16x - 4
14. 19x + 2 = 40
15. 10t = 194
16. 400x + 100 = 1100
17. - 3x + 43 = 113
1. x=9
2. x=1
3. s=2
4. s= 2.5
5. s=6
6. T=5/6
7. x=1
8. y=2
9. x=120
10. x=16/13
11. x=-4
12. s=7
13. x=2
14. x=2
15. t=97/5
16. x=5/2
17. x=-70/3
help me please
[tex]if \: \sin(x) = \cos(50degree) \: find \: x [/tex]
Answer:
x = 40°
Step-by-step explanation:
using the cofunction identity
cos(90 - x) = sin x , so
90 - x = 50 , then
x = 40
that is sin40° = cos50°
Question 3 :
Find the value of 3x3 - 4x2 + x - 5 when x = -3
(A) -54 (B) -71 (C) -32
You are told that in a sample of size 225 the mean is 48.5 and the standard deviation is 1.8. the study is reported with 90% confidence level. explain how to determine if 48.8 is within the confidence interval.
Using the t-distribution, it is found that the 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 225 - 1 = 224 df, is t = 1.6517.
The other parameters are given as follows:
[tex]\overline{x} = 48.5, s = 1.8, n = 225[/tex].
Hence the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 48.5 - 1.6517\frac{1.8}{\sqrt{225}} = 48.3[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 48.5 + 1.6517\frac{1.8}{\sqrt{225}} = 48.7[/tex]
The 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.
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factor 6x(x + 12) – 15(x + 12)
Simplify.
Remove all perfect squares from inside the square root. Assume aaa is positive.
\sqrt{27a}=
Answer:
I hope this is the whole question
Step-by-step explanation:
Well I can only see one way and it is this...
[tex]\sqrt{27a}[/tex] = [tex]\sqrt{3.3.3.a}[/tex]
= [tex]3\sqrt{3a}[/tex]
I got rid of one perfect-square. I dont think you can do much more.
Please help me with question 12. I don’t know the answer.
Answer: B. ((5-x))/(x^(2)+3x-4)-:((x^(2)-2x-15))/(x^(2)+5x+4)
exclusions: x≠1, x≠-1, x≠-3, x≠-4, x≠5
Step-by-step explanation:
Todd bought g boxes of granola bars. There are 12 granola bars in each box. Write an expression that shows how many granola bars Todd bought.
The expression that shows the granola bars Todd bought is 12g.
What is an algebraic expression?The algebraic expression stands for the mixture of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.
Given: Todd bought g boxes of granola bars.
There are 12 granola bars in each box.
Let g be the boxes of granola bars.
Therefore, the expression that shows the granola bars Todd bought is 12g.
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What is the sum of the angles in the diagram?
4 meters to 100 centimeters
Answer:
This is incorrect because 1 meter is 100 centimeters. But then when you keep going and when you get to 4 meters, you would get 400.
For example:
1 meter - 100 centimeters
2 meters - 200 centimeters
3 meters - 300 centimeters
4 meters - 400 centimeters
Hope this helps!
What is the diameter of the circle (x + 25/4)² + y² = 25?
Answer:
10 units
Step-by-step explanation:
Compare the given equation to the standard-form equation for a circle to identify the relevant dimension.
The equation of a circle is written in standard form as ...
(x -h)² +(y -k)² = r² . . . . . . . centered at (h, k) with radius r
__
Comparing this to what you are given, you see that ...
h = -25/4
k = 0
r² = 25
The radius is ...
r = √25 = 5
The diameter is twice the radius, so is ...
d = 2r = 2(5)
d = 10
The diameter of the circle is 10 units.
3 + 15 + 75 + 375 + 1,875
What’s the sigma notation
Answer:
292,968
Step-by-step explanation:
The difference of twice a number and 3 is at most-26.
Answer:
x < & = -23/2
Step-by-step explanation:
Let a number be x.
Twice a number = 2x
2x - 3 = -26 and 2x - 3 < -26
2x = -23 and 2x < -23
x = -23/2 and x < -23/2
Four friends are planning a party at a skating rink. The friends must pay $3 for
each person attending the party. They will also spend $36 on snacks. If each
friend contributes $21 to the party, what is the maximum number of people that
can attend the party?
16
19
28
48
Answer:
The answer is 28. It is easy.
what is the value of...
4x - x + 5, when x = 3
???
Answer:
The value of 4x-x + 5 when x + 3 is 14
Step-by-step explanation:
4(3)= 12 - 3= 9 + 5= 14
The value of 4x - x + 5 when x = 3 is 14.
To find the value of 4x - x + 5 when x = 3, we substitute the value of x into the expression and simplify.
Plugging in x = 3, we have:
4(3) - 3 + 5
Now let's simplify each term:
4(3) = 12
-3 = -3
Now we can substitute the simplified terms back into the expression:
12 - 3 + 5
Next, we perform the addition and subtraction in order from left to right:
12 - 3 = 9
9 + 5 = 14
Therefore, the value of 4x - x + 5 when x = 3 is 14.
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2 similar rectangular pyramids have a similarity ratio of 4:5. What is the ratio of their volumes? Put your answer in the form a:b
Answer:
64:125
Step-by-step explanation:
When you go from a length ratio to an area ratio you need to square the numbers involved: [tex]4^{2} :5^{2}[/tex] = 16 : 25
By the same logic, if you want to go from length to volume you need to cube the numbers involved: [tex]4^{3} :5^{3}[/tex] = 64 : 125
