Answer:
Represents
Step-by-step explanation:
Going over the basic definition of polynomial, an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division, we can see that the expression is indeed a polynomial.
What is the equation of the line through 1 2 which makes equal intercepts on the axis?
The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)
The equation of the line through (1,2) makes an equal intercept on the axis
The formula of the intercept form is
\(\frac{x}{a} +\frac{y}{b} =1\)
If they make an equal intercept
\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)
Put the value of the point in the axis, and we get.
\(1+2=a\\a=3\)
Put the value in the equation, and we get.
\(x+y=3\)
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What is the difference in the approximate number of wins between the first place team and the last place team?
A. 50
B. 45
C. 40
D. 35
Answer:
65-72
Step-by-step explanation:
Select all real fourth roots of 256.
Answer:
4
Step-by-step explanation:
\( \sqrt[4]{256} \)
\( \sqrt[4]{4 \times 4 \times 4 \times 4} \)
\( \sqrt[4]{ {4}^{4} } \)
4
hope it's helpful ❤❤❤
THANK YOU
Which of the following is true?Enter a, b, c, d, or e.a. 443 is a composite number.b. 541 is a prime number.C. -600 is a composite number.d. 591 is a prime number.ae. 1 is a prime number.
By definition a prime number and a composite number are:
Prime numbers: whole numbers greater than 1, that have only two factors: 1 and the number itself.
Composite numbers: whole numbers greater than 1, that have more than two factors. It is divisible by the number itself, the number 1 and at least one other number.
In that order, 1 is not a prime number and -600 is not a composite number. Options c and e are false.
Now, we need to check 443, 541 and 591.
To check if a number is prime or composite, we have to apply divisibility tests and check if the number is divisible by 2, 5, 3, 11, 7 or 13.
The divisibility rules for these numbers are:
2: If the last digit is an even number.
These numbers are odd, then they are not divisible by 2.
3: a number is completely divisible by 3 if the sum of its digits is divisible by 3.
4+4+3=11 it is not divisible by 3
5+4+1=10 it is not divisible by 3
5+9+1=15 and 1+5=6 it is divisible by 3, then 591 is not a prime number (option d is false).
5: a number is divisible by 5 if the last digit is 0 or 5.
443 and 541 are not divisible by 5.
11: take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number:
443-> 4-4+3=3 it is not divisible by 11
541->5-4+1=2 it is not divisible by 13
13: to check if a number is divisible by 13, we have to add four times of the last digit of the number to the remaining number and repeat the process until you get a two-digit number. Now check if that two-digit number is divisible by 13 or not. If it is divisible, then the given number is divisible by 13.
44+(3*4)=44+12=56 it is not divisible by 13
54+(1*4)=54+4=58 it is not divisible by 13.
Then, 443 and 541 are both prime numbers, then the answer is b. 541 is a prime number.
Simplify these expressions
4. 9a+7-2a+13=
5. 21-3b+5b-7=
6.3c squared + 8c squared - 15=
Answer:
4) 7a+20
5) 14+2b
6) 25c² - 15
Step-by-step explanation:
4) 9a+7-2a+13= 9a-2a+7+13 = 7a+20
5) 21-3b+5b-7= 21-7+5b-3b = 14+2b
6) (3c)² + (8c)² - 15 = 9c² + 16c² - 15 = 25c² - 15
What is the probability of spinning a spinner numbered from 1 to 16 and not landing on a number divisible by 3.
The required probability of the spinner not landing on a number divisible by 3 is 11/16.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
For spinners numbered from 1 to 16,
Total sample space = 16
Favorable event = 3, 6, 9, 12, 15
Total number of favorable events = 5
Now,
Probability of the spinner not landing on a number divisible by 3,
= 1 - 5 / 16
= 11 / 16
Thus, the spinner's needed probability of not landing on a number divisible by 3 is 11/16.
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What is the percent equivalent of 14.28? A. 1,428% B. 142.8% C. 14.28% D. 0.1428%
Answer:
1428%
Step-by-step explanation:
since 1=100%, in other words, multiplying it by 100, should get you the answer to positive numbers that have the same question. (I don't know about negative) so 14.28x100= 1428. Don't forget to add the percent sign! 1428%
Answer:
1428
Step-by-step explanation:
14.28 x 100
true or false? the student’s t statistic for testing the significance of a binary predictor can be greater than 0.
False. the student’s t statistic for testing the significance of a binary predictor can be greater than 0.
The t-statistic is used for testing the significance of a regression coefficient in a linear regression model. A binary predictor (also known as a dummy variable or indicator variable) has only two possible values (0 or 1), and its coefficient can be tested using a t-test. However, the t-statistic can never be greater than 0 because it measures the difference between the estimated coefficient and its hypothesized value (usually 0), divided by its standard error. If the estimated coefficient is greater than the hypothesized value, the t-statistic will be positive. If it is less than the hypothesized value, the t-statistic will be negative. But it can never be greater than 0.
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I borrowed $1,813.25. The simple interest rate was 9.3% and the total amount of interest was $75.42. What was the term of the loan?
The term of the loan is 0.447 years
What is the simple interest formula?The simple interest formula states that interest is equal to the principal times the rate times the time.
Interest, I = PRT
Where,
I = Interest
P = Principal
T = Time
From the question,
Principal= 1813.25
rate = 9.3
Interest = 75.42
Therefore,
Interest = (principal × rate × time)/100
Substitute the values,
75.42 = ( 1813.25 × 9.3 × t)/100
Solve the equation for t,
t = 0.447 years
The term of the loan is 0.447 years
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Kenny has $500 in a savings account. The interest rate is 4%, compounded annually.
To the nearest cent, how much will he have in 1 year?
Answer:
After one year Kenny will have $520.
Step-by-step explanation:
Answer:
$520
Step-by-step explanation:
500(0.04) = kenny's annual interest rate return= 20
500+20= total dollars kenny has in a year
PLS HELP!!! BRAINLIEST WILL BE REWARDED
Answer:
C is a function... all the others are not functions since it doesn't pass the line test.
Step-by-step explanation:
which point could NOT be paired with(12, 8) to create a function
A. (4,5)
B. (3,10)
C. (12,3)
D. (13,8)
read the picture plsssssssssss
yes yea help pls I really need help this is just the last question so pls help meee....
Answer:
x=78
Step-by-step explanation:
180-24=156
156/2=78
Use integration by substitution to find the integral ∫ 8x/(1−x²)⁴ dx
Given the following partial fraction decomposition:
6x+13 / x²+5x+6 = A/(x+a) + B/(x+b) as a>b
Find: i. a and b using factorization; (3 marks) ii. A and B using the partial fraction decomposition; and (5 marks) iii. the integral of ∫6x+13 / x²+5x+6 dx
The remainder when h(x) is divided by (x+1) is 69.
We have:
h(-1) = 2(-1)^4 - 17(-1)^3 + 30(-1)^2 + 64(-1) + 10 + 69 = 54
To evaluate the polynomial h(x) at x=-1 using the remainder theorem, we need to find the remainder when h(x) is divided by (x+1).
We can use polynomial long division or synthetic division to perform this division. Here's the polynomial long division:
2x^3 - 19x^2 + 49x - 59
---------------------------------
x + 1 | 2x^4 - 17x^3 + 30x^2 + 64x + 10
- (2x^4 + 2x^3)
---------------
-19x^3 + 30x^2
+ (-19x^3 - 19x^2)
-------------------
49x^2 + 64x
+ (49x^2 + 49x)
-------------
-59x + 10
- (-59x - 59)
-------------
69
Therefore, the remainder when h(x) is divided by (x+1) is 69.
Hence, we have:
h(-1) = 2(-1)^4 - 17(-1)^3 + 30(-1)^2 + 64(-1) + 10 + 69 = 54
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HELP ME ASAP AND I MEAN ASAP
Answer:
9miles
Step-by-step explanation:
Answer:
Step-by-step explanation:
Which answers describe the shape below? Check all that apply. Simple answers please
Looking at this figure, we can see it has 4 sides, so it is a quadrilateral.
All sides have different sizes, and there are no parallel sides.
So the only description we can use is quadrilateral.
Therefore the only option that applies is B.
how many solutions does 4(2x-5)=2x-20 have?
Answer:
x = 0
Step-by-step explanation:
One day a store sold 28 sweatshirts. White ones cost $9.95 and yellow ones cost $13.50. In all, $321.20 worth of sweatshirts were sold. How many of each color were sold?
Answer:
white sold = 16
yellow sold = 12
Step-by-step explanation:
w = # of white sold
y = # of yellow sold
w + y = 28 solve this for w
w = 28 - y
9.95w + 13.5y = 321.20 substitute w = 28-y into this expression and solve for y
9.95(28-y) + 13.5y = 321.20
278.60 - 9.95y + 13.50y = 321.20
278.60 + 3.55y = 321.20
3.55y = 321.20 - 278.60 = 42.60
y = 42.60/3.55 = 12 substitute this into w = 28 - y and solve for w
w = 28 - 12 = 16
what is the rule
4, -4, 4, -4 ...
Answer:
i think its 4
Step-by-step explanation:
because first is 4 then is -4 then 4 then -4 so it should be 4
Plz mark me the Brainliest
Rewrite 9\9 as a whole number.
Answer:
1
Step-by-step explanation:
9 goes into 9 once, so 9/9 = 1
Multiply
а) (x + 2) (х+3)
Answer:
x^2+5x+6
Step-by-step explanation:
\(\left(x+2\right)\left(x+3\right)\\\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=x,\:b=2,\:c=x,\:d=3\\\\=xx+x\times\:3+2x+2\times \:3\\=xx+3x+2x+2\times\:3\\\\\mathrm{Simplify}\:xx+3x+2x+2\times\:3:\\\quad x^2+5x+6\)
En un bolsillo tengo una cantidad de dinero y en el otro tengo el doble. En total tengo 600. ¿cuántos euros tengo en cada bolsillo?
Answer:
La cantidad de dinero en:
Primer bolsillo = x = 200 euros
Segundo bolsillo = 2x = 400 euros
Step-by-step explanation:
Nos dijeron:
En un bolsillo tengo una cantidad de dinero y en el otro tengo el doble.
Representemos, la cantidad de dinero en el:
Primer bolsillo = x
Segundo bolsillo = 2x
En total tengo 600.
Por eso:
x + 2x = 600
3 veces = 600
x = 600/3
x = 200
2x = 200 × 2
x = 400
Por lo tanto, la cantidad de dinero en:
Primer bolsillo = x = 200 euros
Segundo bolsillo = 2x = 400 euros
Solve for m 18m-13m=25 m=
Answer:
m=0
Step-by-step explanation:
Answer:
I think m=5
Step-by-step explanation:
help me pls ASAP I need it in 5mins
Answer:
500
Step-by-step explanation:
i want to help you but im not sure to my answer
what is the square root of 82
Answer:
9.05538513814 this is the answer but I don't know it is write or wrong
Answer:
9
Step-by-step explanation:
Specifically 9.05, but simplified 9.
over the past few decades, public health officials have examined the link between weight concerns and teen girls' smoking. researchers surveyed a group of 273 randomly selected teen girls living in massachusetts (between 12 and 15 years old). after four years the girls were surveyed again. sixty-three said they smoked to stay thin. is there good evidence that more than thirty percent of the teen girls smoke to stay thin? the alternative hypothesis is:
We conclude that less than 30% of teen girls smoke to stay thin.
Let p be the percentage of teen girls who smoke to stay thin.
So, the Null Hypothesis,(\(H_{0}\)):
p≥ 30%
This means that at least 30% of teen girls smoke to stay thin
Alternate Hypothesis,(\(H_{A}\)) :
p < 30%
This means that less than 30% of teen girls smoke to stay thin.
The test statistics that would be used here
One sample z proportion statistics:
T.S = p' - p/ \(\sqrt{p'(1-p')/n}\) ≈N( 0,1)
Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231
n = number of sample of teen girls = 273
Now putting these values we have:
Test statistics = 0.231 - 0.30/ \(\sqrt{0.231( 1- 0.231)/ 273}\)
= -2.705
So we get the value of z-test statistics as - 2.705.
As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.
As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore we get that less than 30% of teen girls smoke to stay thin.
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The answer has to be simplified
Answer:
2x^2 sqrt 5x
Step-by-step explanation:
1. Factor out the perfect square
sqrt 2^2x5x^5
sqrt 2^2x5x^4xx
2. The root of a product is equal to the product of the roots of each factor
sqrt 2^2 sqrtx^4 sqrt 5x
3. Reduce the index of the radical and exponent with 2
2 sqrt x^4 sqrt 5x
2x^2 sqrt 5x
The answer is 2x^2 sqrt 5x
I will mark you brainliest!!!! Which ordered pair is the best approximation of the solution?
Answer:
D
Step-by-step explanation:
We can substitute y = 2x + 1 in the second equation
2x + 1 = -7x + 8
Add 7x to both sides
9x + 1 = 8
Subtact 1 from both sides
9x = 7
x = 7/9
Substituing x in the first equation
y = 14/9 + 1
x rounds to 0.8
y rounds to 2.5
Find the area and the circumstances of a circle with radius 8m. Use the value 3. 14 for pi do not round your answer. Be sure to include the correct units in your answers
The area and circumference of the given circle are 200.96 cm2 200.96 c m 2 and 50.24 cm 50.24 c m respectively.
Circumference of circle:
In geometry, a circumference is the circumference of a circle or an ellipse. That is, the circumference will be the length of the arc of the circle as if it were open and straight to the line segment. More generally, the perimeter is the length of the curve around any closed figure. The circumference can also designate the circle itself, the trajectory corresponding to the edge of a disk. The circumference of a sphere is the circumference or length of one of its great circles.
Area of circle:
The area of a circle is the space the circle occupies in a two-dimensional plane. Alternatively, the space occupied inside the boundary/perimeter of a circle is called the area of the circle. The formula for the area of a circle is A = πr2, where r is the radius of the circle. Area unit is square unit, such as m2, cm2, in2, etc.
According to the Question:
The circumference C of a circle with radius r is given by
C = 2πr
where the units of C will be the same as the unit of R.
The problem tells us that the radius r = 8m.
And, we will say π = 3.14
So,
C = 2(3.14)(8) = 50.24m
The units are meters.
Now, the area A of a circle with radius r is given by
A = πr², where the units of A will be the units of r squared.
Again,
we know r = 8,π = 3.14, so
A= 3.14(8²)
8² = 8⋅8 = 64,
Thus,
A= 64(3.14) = 200.96m²
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