Find the slope of the line that passes through the pair of points.
(3, 1), (9, 1)
Answer:
gradient:
y2-y1/x2-x1
1-1/9-3
0/-6
= 0
n is an integer greater than 1
Prove algebraically that 10 + [tex]n^{2}[/tex] - (n-2)[tex]^{2}[/tex] is always an even number.
Your final line must have, "always even" as part of the line.
The algebraic proof that 10+n²-(n - 2)² is always an even number is 2(5+(2n-2))
How to prove algebraically that 10+ n² - (n - 2)² is always an even number?To show that this will always give an even number, we need to express in a form that it is 2 multiplied by some positive integer
Given: n is an integer greater than 1, prove 10+ n² - (n - 2)² algebraically
10+ n² - (n - 2)² = 10+ ( n² - (n - 2)² ) (factorize difference of two squares)
= 10+(n-(n-2))(n+(n-2))
= 10+(n-n+2)(n+n-2) (simplify)
= 10+(2)(2n-2) (factorize)
= 2(5+(2n-2))
Therefore, due to the factor of 2, the given expression is always even for integer n
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Plot the image of point P under a translation by 7 units to the left.
Answer:
-1,4
Step-by-step explanation:
move the point to the left 7 times
Alexi like her drink to have a ratio of liquid yo ice of 1 to 3. A fat food retaurant put 16 oz of ice in her 32 oz cup
Alexi will not like the drink because the ratio of liquid to ice is 1/1.
Alexi likes her drink to have a liquid-to-ice ratio of about 1/3. A fast food restaurant put 16 ounces of ice in her 32-ounce cup. We need to find out if Alexi will like her drink or not, and if not, why not.
Let the ratio of the liquid to the ice in the drink be represented by the variable "R". The total volume of the cup is 32 ounces. The amount of ice in the cup is 16 ounces. So the amount of liquid in the drink is the difference between these two amounts. Hence, the amount of liquid in the cup is 32 - 16 = 16 ounces.
The ratio of the amount of liquid to the amount of ice in the drink is calculated below.
R = 16/16
R = 1/1
Hence, the ratio of the amount of liquid to the ice in the drink is 1/1. So, Alexi will not like her drink.
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The map above is being reduced by a scale factor of 1/9 and printed for the subway
station. How many square inches will the new map take up?
O 315 square inches
O 72 square inches
24 square inches
O 35 square inches
Answer:
35 square inches
Step-by-step explanation:
21x15=315
315/9=35
Therefore, the answer is 35 square inches
What is the probability that a randomly selected person is a girl given they are an 8th grader?
Answer:
76
Step-by-step explanation:
2(20x8) + 2(20x3)+2(8x3)
Answer:
488
Step-by-step explanation:
2(20x8) + 2(20x3)+2(8x3)
Assuming the "x" is not a variable.
The answer is 488
However, if "x" is a variable. The equation would be
40x^8 + 56x^3
Answer:
488
Step-by-step explanation:
using BODMAS
METHOD 1.
[tex]2(20 \times 8) + 2(20 \times 3 + 2(8 \times 3) \\ = 2(160) + 2(60) + 2(24) = \\ = 320 + 120 + 48 \\ = 448[/tex]
METHOD 2.
[tex]2(20 \times 8) + 2(2 \times 3) + 2(8 \times 3) \\ = 2(160) + 2(60) + 2(24) \\ = 2(160 + 60 + 24) \\ = 2 \times 244 \\ =488[/tex]
K =
√2abc
1 + a²-b(squared)+c² - 5b
If a = 4, b = -2 and c = -1
evaluate K
K=
Which expression is equivalent to
94
94
310
95
94
310
(9².3³) ²₂
Answer:
Step-by-step explanation: The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.
What is an integer exponent?
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
The question is incomplete.
The complete question is attached in the picture, please refer picture.
We have an expression:
Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.
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a researcher finds 200 women over 50 who exercise regularly, pairs each with a woman who has a similar medical history but does not exercise, then follows the subjects for 10 years to see which group develops more cancer. this is a ...
A researcher finds 200 women over 50 who exercise regularly, pairs each with a woman who has a similar medical history but does not exercise, then follows the subjects for 10 years to see which group develops more cancer. this is a prospective study.
Define prospective study.Individuals are tracked over time in prospective studies, and information is gathered about them as their characteristics or circumstances change. Prospective studies include things like birth cohort studies. In retrospective research, people are sampled, and details about their past are gathered. Always after a predetermined number of incidents, the analysis takes place. The fact that individuals were enrolled and baseline data was obtained before any subjects experienced an outcome of interest identifies a study as prospective.
Given,
A researcher finds 200 women over 50 who exercise regularly, pairs each with a woman who has a similar medical history but does not exercise, then follows the subjects for 10 years to see which group develops more cancer. this is a ...
Prospective study
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A right triangle contains a 25° angle.
a.) If one leg is of length 5 inche, what is the length of the hyp?
b.) There are 2 answers. How is this possible?
If one leg is of length 5 inches then the lengths of the hypotenuse can be 2.113 inches or 4.5315 inches.
According to the question,
We have the following information:
A right triangle contains a 25° angle and length of one leg is 5 inches.
Now, the leg for which length is given can be opposite to given angle or adjacent to given angle. So, there are two possible for the length of hypotenuse (H).
Now, when it is opposite to the given angle:
Sin 25 = 5/H
H = Sin 25*5
H = 0.4226*5
H = 2.113 inches
Now, when it is adjacent to the given angle:
Cos 25 = 5/H
H = Cos 25*5
H = 0.9063*5
H = 4.5315 inches
Hence, if one leg is of length 5 inches then the lengths of the hypotenuse can be 2.113 inches or 4.5315 inches.
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james has an empty coin jar. He adds 3 dimes, 2 quarters, and 7 nickels into the jar. The next day, she removes 3 quarters and 3 nickels. How much money will James have in the jar?
Answer: 25 cents i am sorry if this is wrong
Step-by-step explanation: 3 dimes are 30 cents plus 50 is 80 plus 35 is $1.15 so then when she removers 3 nickles she is getting rid of 15 cents which would leave $1.00 finally when you remove 75 cents you have 25 cents
Encuentre dos números positivos cuyo producto es 25 y cuya suma es un mínimo. (Especifica el valor minimo y maximo si los dos valores no son lo mismo.)
The two positive numbers are 5 , 5.
Given:
Product of two positive numbers = 25
sum of these number is minimum.
Let a and b be the two positive numbers.
a*b = 25
b = 25/a
sum s = a+b
= a + 25/a
apply derivation on both sides.
ds/da = 1 - 25/[tex]a^{2}[/tex]= 0.
1 = 25/[tex]a^{2}[/tex]
a = [tex]\sqrt{25}[/tex]
a = 5 , -5
since given are positive numbers so 5 is considered.
b = 25/5
b = 5
Therefore the two positive numbers are 5 , 5.
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A source of money that allows individuals to pay for goods and services later is called _____. (1- consumer credit, 2- earned income, 3- capital) an advantage of this source of money is that ____. (1- it can be used to shop online, 2- there are no interest charges, 3- there are no penalties for delayed payment) i need answers fast.
A source of money that allows individuals to pay for goods and services later is called consumer credit and an advantage of this source of money is that there are no interest charges.
Consumer credit, also known as consumer debt, enables the consumers to incur debt or borrow money and to defer repayment of that money over time. It allows consumers to buy goods without having to pay for them in cash at the time of purchase. Examples of consumer credit include credit cards, student loans, etc. Among the advantages of using consumer credit is that there is no interest charge to borrow the money for a certain period of time until the due date.
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in a hypothesis testing that you are conducting, you determine the confidence level needed is 99%. for you to reject the null hypothesis, the p-value needs to be:
The answer to the given question is <0.01.
What is confidence level?
The confidence level is the percentage of times we expect to get near to the same approximate if we run our experiment again or resample the population in the same way. The confidence level is the probability that the null hypothesis is true.
What is p-value?
P-value is the probability of getting the results you did, given that the null hypothesis is true.
When we are conducting a hypothesis testing and we determine the confidence level needed is 99%; then in order to reject the null hypothesis, the p-value needs to be below 0.01 (<0.01).
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Find the perimeter of the triangle
HELPPPPPP
Answer: 4x + 29
Step-by-step explanation: add the like terms together.
Answer:
39 inches
Step-by-step explanation:
the triangle has all equal angles
this means it is equilateral and this also means all the sides are equal
so take 2 sides and set them equal to each other to find x
21 - x = x + 5
now solve
add x to both sides
21 = 2x + 5
subtract 5 to both sides
16 = 2x
divide everything by 2
8 = x
now flip it
x = 8
plug this is to one of the equations and multiply that by 3
8 + 5 = 13
13 * 3 = 39
that is the perimeter
Write the polynomial in standard form. Then
name the polynomial based on its degree and number of terms.
3. g-6g³+10g²-3
a. 6g³-10g²+g-3; cubic trinomial
b. -3+g+10g²-6g³; cubic binomial
c. -6g³+10g²+g-3; cubic polynomial
d. 10g³-6g²+g-3; quadratic binomial
A city planner wants to build a road perpendicular to d street. What should be the slope of the new road?.
If a line's angle with the x-axis is then, that line's slope will be tanα, and the new road's slope will be tan(0) = 0.
D Street is depicted as a vertical line with a 90° angle of inclination in the accompanying figure. In other words, D Street has an infinite slope.
The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.
A horizontal line now has zero slopes.
The new road has a zero slope as a result.
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Please help desperately I don’t know this. Burt keeps honeybees on his farm. When he first started, here’s a six room beehive that held 40 pounds of honey. Now he uses a 30 for a beehive. It has the same ratio and frames to Honey as a smaller beehive.
How much money does birds new beehive hold?
The ratio of frames to honey is the same as in a smaller beehive. 200 pounds of honey can be found in Bert's new beehive.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given data:
Number of frame beehives = 6
Pound of honey = 40
Current Frame beehive = 30
The first step is to formulate an equation and then use the formulated equation to find the number of honey
E = 40 × 30 ÷ 6
E = 40 × 5
E = 200 honey
Therefore the number of honey is 200.
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Factor and solve f(x) = x³ + 8x² - 23x - 30 given the fact that f(3) = 0
The factored form of f(x) = x³ + 8x² - 23x - 30 is (x - 3)(x + 10)(x + 1).
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given a polynomial f(x) = x³ + 8x² - 23x - 30.
If f(3) = 0 then x - 3 is one of the factors of the polynomial f(x).
∴ f(x) = f₁(x)(x - 3), where f₁(x) is a quadratic equation we obtain it by long division or synthetic division.
f₁(x) = x² + 11x + 10.
Now, x² + 11x + 10 = 0.
x² + 10x + x + 10 = 0.
x(x +10) + 1(x + 10) = 0.
(x + 10)(x + 1) = 0.
x + 10 = 0 Or x = 1 = 0.
x = - 10 Or x = - 1.
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can anyone help?????
Answer: 0
Step-by-step explanation:
Since y is 2, and it’s being multiplied by 4, you have 8 - 8 which =0
Y=2
4(2) - 8
8-8
0
Answer:
0
Step-by-step explanation:
4y - 8
Given that,
y = 2
To find the value of given expression, replace y with 2 and solve the expression.
Let us solve it now.
4y - 8
4 × 2 - 8
8 - 8
0
can someone help pls
5
link
!!!
MULTIPLE CHOICE QUESTION
Find the distance between (-3,-4) and (2,8).
Hint: plot the points on the coordinate plane and
then use the Pythagorean Theorem.
The distance between points (-3,-4) and (2,8) is 13.
What is a right angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees, or it follows Pythagoreans theorem.
The horizontal distance = 5
And the vertical distance = 12
The vertical and horizontal lines make a right angle when they meet,
To find distance between points, use Pythagoreans theorem,
(D)² = (5)²+(12)²
(D)² = 25 + 144
(D)² = 169
D = 13
The distance between points (-3,-4) and (2,8) is 13.
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What are the two square roots of 1/121
Answer:
-1/11, +1/11
Step-by-step explanation:
You want the two square roots of 1/121.
Square rootA square root can be either positive or negative.
[tex]\pm\sqrt{\dfrac{1}{121}}=\pm\dfrac{1}{\sqrt{121}}=\boxed{\pm\dfrac{1}{11}}[/tex]
__
Additional comment
The √ symbol generally means the principal square root, the positive root. To get the negative root, we precede the symbol with a minus sign. So, both square roots are identified as ±√( ).
Write the function whose graph is the graph of y = x2, but is shifted to the left 2 units.
The function whose graph is shifted 2 units to the left is y = (x + 2)² .
In the question ,
it is given that the equation is given as y = x² .
we know that when the function y = x² is shifted " a units " to the left , the shifted function becomes y = (x + a)² ,
we have to find the equation of the graph that is shifted 2 units to the left ,
So , the value of a is 2 ,
and the equation becomes
y = (x + 2)²
so , the equation is y = (x + 2)² .
the graph is shown below .
Therefore, The function whose graph is shifted 2 units to the left is y = (x + 2)² .
The given question is incomplete , the complete question is
Write the function whose graph is the graph of y = x², but is shifted to the left 2 units ?
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The attendance at an amusement park in a month of july was 178,383.What is the attendance rounded to the nearest thousand
Answer:
178 000
Step-by-step explanation:
178 383 8 is in the thousands place...if the number next to it (3) is ≥ 5 round it up by 1 o/w leave it alone
Answer:
178,000
Step-by-step explanation:
It's 178,000 because the number in front of the 8 in 178,383 was under five so the number dropped.
help meeeeeeeeeee pleaseeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Can't be solved
Step-by-step explanation:
Using Pythagoras theorem,
H2= O2 + A2 (where, H= Hypotenuse,O=Opposite,A=Adjacent)
The hypotenuse,H=7feet long
If the opposite side of the triangle is 4 feet longer than the adjacent side, then;
O=A+4
while, A=A
,then using H^2= O^2 + A^2(The 2 are power,that is square)
7^2 = (A+4)^2 + A^2
49= (A+4)(A+4) + A^2
49=A^2 +4A+4A+16 + A^2
49=A^2+8A+16+A^2
(collect like terms)
49-16=A^2+A^2+8A
33=2A^2+8A
Then a quadratic equation,
2A^2+8A=33
2A^2+8A-33=0,
using (-b+/-√4ac) /2a
where b=8, a=2, c=-33
[-8 +/-√4*2*(-33) ]/2(2)
-8 +/-
1. What are The two taxes paid on most purchases?
Answer:
I believe its the FICA and the payroll taxes
Step-by-step explanation:
4X-3(x-2)=2(3x-2) I really need help on this one
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3
The quadratic function is
f(x) = [tex]-3x^2[/tex] + 18x + 3
The general form of the quadratic function is
y = [tex]ax^2[/tex] + bx + c
If a < 0, the quadratic function has maximum value
Here the value of a = -3
Therefore the function has maximum value.
Maximum value will be at x = -b / 2a
= -18 / 2(-3)
= -18 / -6
= 3
The maximum value of quadratic function will be (4ac - [tex]b^2[/tex]) /4a
Substitute the value in the equation
(4ac - [tex]b^2[/tex]) /4a = (4×-3×3 - 18×18) / 4×-3
= (-36 - 324 / -12
= -360 / -12
= 30
Hence, the function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3
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