Answer:
1. (4,2) and (-2,-4)
2. (6,3) and (3,-6)
3. (1,8) and (7,-4)
Step-by-step explanation:
12) The sum of two natural numbers is 30. If one of the numbers is one-
fifth of the other, then what is the product of both the numbers?
a) 5
b) 25
c) 30
d) 125
Answer:
D.) 5 x 25 = 125
Step-by-step explanation:
The two numbers are 25 and 5. If you take 1/5 of 25, or simply divide by 5, you will get 5.
Answer:
A) X + Y = 30
B) X = .2Y OR X - .2Y = 0
We subtract B) from A)
1.2Y = 30
Y = 25 X = 5
X * Y = 125
Answer is d.) 125
Step-by-step explanation:
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer & Step-by-step explanation:
In the problem, we are given an equation. h(t) = -20 + 11t
In the equation, t represents an unknown value. So, if we are given a number that is in the replacement of t, then we can plug that number in to where t is at.
t = 11
h(11) = -20 + 11(11)
h(11) = -20 + 121
h(11) = 101
So, h(11) is equal to 101
Answer:
101
Step-by-step explanation:
h(t)= -20+11t
h(11)= -20+11(11)
h(11)= -20+121
h(11) = 101
the original price of a computer is $935.00 if the price of the computer is increased by 7% what is the new price
Answer:
$1000.45 is the new price.
Step-by-step explanation:
The fastest way in which to answer this question is to multiply $935.00 by 1.07. That ".07" comes from "7%."
1.07($935.00) = $1000.45 is the new price.
1. Kane earns an annual salary of $42,500.
He is paid twice a month with paychecks being
of equal amounts. If Medicare taxes
represent 1% of his income, then how much
will Kane bring home after Medicare taxes?
Answer:
$1753.13
Step-by-step explanation:
Kane's Annual Salary = $42,500
Gross Pay = $42,500
Net Pay = Gross Pay - 1% of Gross Pay
=42500 - (0.01 X 42500)
=$42,075
Since he is paid twice a month with paychecks being of equal amounts.
Number of Payments in a Year =12 X 2= 24
Therefore, Kane's Take Home pay after Medicare taxes
[tex]= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)[/tex]
Sonia works at a bakery. The function
Answer:
I think the function is that she is working.
HOW DO I FIND THE AREA OF DEF?
Answer:
169.7
Step-by-step explanation:
first lets find the other side of the small triangle
cos(30 degrees)=(7*sqrt (3))/x
x*cos(30 degrees)=7*sqrt (3)
x=(7*sqrt (3))/cos(30 degrees)
x=14
14/14=1
so proportion is 1/1
thus the bottom the outer part of the triangle is also 7*sqrt(3)
now, for the area
lets find the 2 side length of the triangle we need
DE: 14+14=28
DF: 7*sqrt(3)+7*sqrt(3)=14*sqrt(3)
let's find EF,
sin(30 degrees)=x/28
x/28=sin( 30 degrees)
x=28*sin( 30 degrees)
x=14
A=(14*sqrt(3))*14*0.5
A=(14*sqrt(3))*7
A= around 169.7
Answer:
≈169.7
Step-by-step explanation:
cos30 = (7[tex]\sqrt{3}[/tex])/x
x= (7[tex]\sqrt{3}[/tex])/cos30 = 14
h = 14+14 = 28
sin30 = EF/28
EF = sin30 * 28 = 14
tan30 = 14/DF
DF = 14/tan30 ≈ 24.248
Area = 24.248*14/2 ≈ 169.74 ≈ 169.7
An urn contains 7 pink and 5 black balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 4 balls drawn from the urn are pink? Round your answer to three decimal places.
Answer:
.116
Step-by-step explanation:
7 pink and 5 black balls. = 12 balls
P( pink) = pink balls/ total = 7/12
replace
P( pink) = pink balls/ total = 7/12
so this is true for each case
P( pink, pink, pink, pink) = 7/12*7/12*7/12*7/12 = 2401/20736
=.115788966
To 3 decimal places
.116
What is angle m 2 ? What is angle m 1?
Answer:
Angle measure two is equal to 75º and Angle measure one is equal to 105º
Step-by-step explanation:
I know this because angle one is alternate exterior angle with angle 7 and angle seven forms a staight line with angle 75 so to find angle 7 you have to do 180-75 and that would equal 105.
for angle two it is interior angles with angle 75 so this means that are congruent angles which means they both have the same measure
Answer: <2 is 75 degrees & <1 is 105 degrees
Step-by-step explanation:
How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?
Answer: I answered most of your question below
Step-by-step explanation:
Well in basic high school math, you prolly will never HAVE to factor square binomials. It becomes more of an issue when you take the limit, and there is a zero in the denominator and blah blah.
But to answer your question. You can pretty much factor any trinomial with the basic rule. Sometimes youll have to complete the square because the trinomial wont be factorable until then. The main use of factoring trinomials tho is to find the value of x. Most trinomials usually equal 0 when youre in high school math. So you factor and make both equations equal 0. Another case where you might need to factor is when you are dividing a trinomial by a binomial. You can factor the numerator and denominator and potentially cross out two terms that divide to equal 1. Overall, its really helpful.
I never really felt the need to actually factor square binomials. Its the thing like a^2 - b^2 = (a + b)(a - b), right? Its basically the same thing with what i said about the dividing stuff. One of those terms might be the exact same as one of the terms from the factored trinomial. Then you can cross out two entire terms
A trinomial is an expression that has three terms.
Square trinomial
A square trinomial is simply a perfect square trinomial, and it is represented as:
[tex]\mathbf{a^2 + 2ab + b^2 = (a + b)^2}[/tex]
Difference of square binomials
This is easily identified because, the terms of the square binomials are perfect squares.
The difference of square binomials is represented as:
[tex]\mathbf{a^2 - b^2 = (a + b)(a - b)}[/tex]
Sums and difference of cubes
When cubes are added or subtracted, they can be expressed using the following
[tex]\mathbf{a^3 + b^3 = (a + b)(a^2 - ab + b^2)}[/tex] --- sum of cubes
[tex]\mathbf{a^3 - b^3 = (a - b)(a^2 + ab + b^2)}[/tex] --- difference of cubes
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What is the HCF of 36 81?
Answer:
9
Step-by-step explanation:
Let us look at the factors of each of these
36:
1 and 36
2 and 18
3 and 12
4 and 9
81:
1 and 81
3 and 27
9 and 9
When we look at the factors, we can see that 9 is the Highest Common Factor shared between them.
Answer: hope that's right
HCF OF 36 81 = 9
Step-by-step explanation:
Steps to find HCF:
Find the prime factorization of 36 36 = 2 × 2 × 3 × 3
Find the prime factorization of 81 81 = 3 × 3 × 3 × 3
To find the HCF , multiply all the prime factors common to both numbers:
Therefore, HCF = 3 × 3
What is the measure of angle Q to the nearest whole degree?
43°
49°
53°
58°
Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ
[tex]cos^{-1}Q = 0.604[/tex]
m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.
Based on the calculations, the measure of angle Q to the nearest whole degree is equal to 53°.
How to calculate the measure of angle Q?Based on the triangle attached in the image above, we can deduce the following parameters:
Side QM = 18 units.Side MN = 17 units.Side QN = 20 units.In this scenario, we would apply the cosine trigonometry function to determine the measure of angle Q:
MN² = QM² + QN² - 2(QM)(QN)cosθ
17² = 18² + 20² - 2(18)(20)cosθ
289 = 324 + 400 - 720cosθ
720cosθ = 724 - 289
720cosθ = 435
θ = cos⁻¹(435/720)
θ = cos⁻¹0.6042
θ = 52.8 ≈ 53°.
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Can someone help me ?
Answer:
-2
-1
Step-by-step explanation:
The y-intercept is the point on the y-axis intersected by the graph.
y-intercept is -2
The x-intercept is the point on the x-axis intersected by the graph.
x-intercept is -1
Answer:
see below
Step-by-step explanation:
The x intercept is where it crosses the x axis
It crosses at x = -1
(-1,0)
The y intercept is where it crosses the y axis
It crosses at y = -2
(0,-2)
Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 71 B 72 C 73
Answer:
A and B
Step-by-step explanation:
Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21
When simplifying an algebraic expression, the following steps are needed to be taken.
Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.
Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.
A) 126/2
Applying the division rule give:
126/2 = 63
B) 23 × 3
Applying multiplication rule gives:
23 × 3 = 69
C) 3 × 21
Applying multiplication rule gives:
3 × 21 = 63
Both the results of expression A and expression B are simplified to the same result
PLEASE ANSWER FAST A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the theoretical probability of the given event? P(even) a. One-third c. 1 b. One-half d. StartFraction 3 Over 7 EndFraction Please select the best answer from the choices provided A B C D
Answer:
a is my end result. hope that was right
The theoretical probability of rolling an even number is one-half.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
To find the theoretical probability of rolling an even number, we need to determine how many of the 6 possible outcomes are even.
In this case, we have 3 even outcomes: 2, 4, and 6.
Therefore, the probability of rolling an even number on a fair die is:
P(even) = number of even outcomes / total number of outcomes
P(even) = 3 / 6
P(even) = 1/2
Thus,
The theoretical probability of rolling an even number is one-half.
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Solve for x.
8x - 4 = 2x - 3
8x-4=2x-3
One solution was found :
x = 1/6 = 0.167
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8*x-4-(2*x-3)=0
Step by step solution :
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : 6x-1 = 0
Add 1 to both sides of the equation :
6x = 1
Divide both sides of the equation by 6:
x = 1/6 = 0.167
One solution was found :
x = 1/6 = 0.167
i am not solving for x i am solving for you lol!!!
The equation shows the relationship between x and y:
y = −9x + 5
What is the slope of the equation?
−14
−9
−4
5
Answer:
-9
Step-by-step explanation:
for linear equations, the show off the line is the coefficient of x.
in this case, the slope would be -9
is x^2 + y^2 = 5 a function
Answer:
No it is not a function.
Step-by-step explanation:
Answer:
No. This is NOT a function.
Step-by-step explanation:
Describe the solution of g(x) shown in the graph. parabola opening down passing through 0 comma 2, negative 1.5 comma 4.25, and negative 3.5 comma 0 All real solutions All negative solutions All whole number solutions All solutions that lie on g(x)
Answer:
(A)All real solutions
Step-by-step explanation:
Given the function g(x) shown on the graph
One of the points of the parabola is (-3.5, 0).
The point x=-3.5 is one of the solution of the parabola since it intersects the x-axis at that point.
The other point of intersection is on the positive side between 0 and 1.
Therefore, g(x) has two solutions: One negative real number and one positive real number.
Therefore, g(x) has all real solutions.
The correct option is A.
Answer:
All solutions that lie on g(x)
Step-by-step explanation:
I took the test and that's the correct answer...
What is the solution to this system of linear equations?
7x – 2y = –6
8x + y = 3
(–6, 3)
(0, 3)
(1, –5)
(15, –1)
Answer:
de correct one is
x 0
y 3
hope u got it
Can someone help with this? I don't understand how to do it.
Answer:
(x+6)² = 13
Step-by-step explanation:
You are participating in a walk-a-thon. Donors can pledge a certain amount of money
for each mile that you walk, or a fixed amount that doesn't depend on how far you walk, or both
The table gives the amounts pledged by three donors.
a. Write an equation for each donor in the boxes below.
Donor
Amount
Fixed Amount
Per Mile
Equation
Jenna
None
$35
Camille
$5
None
Leila
$3
$15
b. You end up walking 18 miles.
Which donor donated the greatest amount of money and how much was it?
How many terms does the polynomial x² + xy y2 have?
1 term
2 terms
3 terms
4 terms
Answer:
Step-by-step explanation:
x^2 + xy + y^2 has 3 terms they are:
x^2, xy, and y^2
hope it helps
plz mark as brainliest!!!!!!!!!!
The polynomial x²+xy+y² has 3 terms. Option C is correct.
What exactly is a polynomial?A polynomial is an algebraic statement made up of variables and coefficients.
Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.
Given polynomial;
⇒x²+xy+y²
The three terms are as follows;
x²
xy
y²
The polynomial x²+xy+y² has 3 terms.
Hence, option C is correct.
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what is 1.8 increased by 10 to make a new mean
Answer:
18
Step-by-step explanation:
1.8*10= 18/10*10=180/10=18
(URGENT) Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.
Which statement best describes how accurate she can expect her prediction to be?
Her prediction will probably be close to the actual value.
Her prediction will be unlikely to be close to the actual value.
Her prediction will be somewhat likely to be close to the actual value.
Her prediction will very likely be close to the actual value.
Answer:
Her prediction will be somewhat likely to be close to the actual value.Step-by-step explanation:
A correlation coefficient of 0.55 implies a weak positive correlation, because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.
Having said that, 0.55 indicates some correlation, but weak. Therefore, the right answer is C.
Her prediction will be somewhat likely to be close to the actual value.
We have given that,
Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.
We have to determine the correct statement.
What is the correlation coefficient?The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables.
A correlation coefficient of 0.55 implies a weak positive correlation because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.
Having said that, 0.55 indicates some correlation, but weak.
Therefore, the right answer is C.
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Which of the following best describes the type of probability used in the
scenario below?
Rhea randomly drew a marble out of a bag of marbles, then put it back. She did this 21 times. Of the 21 times, she drew a yellow marble 7 times. She concluded that the probability of drawing a yellow marble was 1/3
A. Theoretical
B. Random
C. Unpredictable
D. Empirical
Awnser is C. Random cuz thats how i chose this answer... its was random
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answer:
Its A
Thats because if you draw it then you will find that the vertex is 8, -8
A,
(8, -8)
THANKS FOR GIVING BRAINLIEST
a wedding ring costs £13000. Work out the price after a 11% increase
Answer:
14430 pounds
Step-by-step explanation:
Given that:
cost of ring: 13000
percentage increase: 11%
So, to find the new cost, we have to find the increase cost, in pounds:
11 / 100 times 13000 = 1430 pounds.
NOW to calculate the new cost, we add the increase cost to the original:
13000 + 1430 = 14430
Please mark brainiest
help pls!
A gumball machine contains three yellow, eight blue, and six pink gumballs. What is the probability that the next gumball that comes out will be neither yellow nor blue?
show work pls
Answer:
the probability that the next gumball that comes out will be neither yellow nor blue = 6/17
Step-by-step explanation:
neither yellow nor blue gumball = pink gumball = 6
3 yellow + 8 blue + 6 pink = total =17
Find the diameter of a cone that has a volume of 56.52 cubic inches and a height of 6 inches. Use 3.14 for pi
Answer:
d=6
Step-by-step explanation:
Answer: diameter is 6
Step-by-step explanation:
GIVE ME THE COORDINATES!!!
Answer:
(0,1)
Step-by-step explanation:
The solution to a system of equations is where the two lines intersect. Algebraically, you could solve this by setting the equations equal to each other.
I hope this helps!