By graphing the system of equations, we can see that the solution is (3, 5).
How to solve the system of equations?
I assume we want to solve the following system of equations graphically:
x - 3y = -12
2x - y = 1
To do so we only need to graph both the lines on the same coordinate axis and find the point where the lines do intersect. The graph can be seen below.
There we can see that the intersection is at (3, 5), so that is the solution of the system of equations.
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Can you list the factors of these please
Answer:
a 1,2.3,4,8,12 i think thats all
Answer:
24= 1, 2, 3, 4, 6, 8, 12 and 24.
c) is 12
Step-by-step explanation:
Which point has coordinates (-2, -2) ?
Please help ASAP !!! I will give 30 points too correct answer
Answer:
Point •H ( The GREEN one ) has the coordinates of (-2, -2).
Answer: H
Step-by-step explanation:
The answers correct because, when a number is in the third quadrent both numbers are negative. And since H is in the third quadrent on x=-2 then H is the correct answer.
Hope This Helps!
A research analyst disputes a trade group's prediction that back-to-school spending will average $606.40 per family this year. She believes that average back-to-school spending will significantly differ from this amount. She decides to conduct a test on the basis of a random sample of 20 households with school-age children. She calculates the sample mean as $628.85. She also believes that back-to-school spending is normally distributed with a population standard deviation of $45. Use 5% significance.
Part 1
State the null hypothesis and the alternative hypothesis for testing that the average back-to-school spending differs from $606.40.
Part 2
State the critical value(s) for testing this hypothesis.
Part 3
Calculate the test statistic Z for testing this hypothesis
Part 4
State and support your conclusions
Based on the calculations we have rejected the null hypothesis .
Given,
Standard deviation = $ 45
Random sample = 20
Now,
Part 1
Set the null hypothesis and alternative hypothesis,
\(H_{0} : u = 0\\ H_{0} : u > 606.40\)
Part 2
The value of z critical signifies 5% level of significance .
\(Z_{0.05} = 1.65\)
According to critical value if z after calculation is greater than or equal to 1.65 we reject the null hypothesis .
Part 3
The value of Z can be calculated by the formula,
Z = X - µ/σ/√n
Substitute the values ,
Z = 628.85 - 606.40/45/√20
Z = 1.93
Part 4
From the above calculation the value of Z is greater than the critical value .
Thus we reject the null hypothesis .
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I can't now the answer for this question. The question is, select all the number that are 10 times as much as 72. 67 or 1/10 of 72. 67
The only number that is 10 times as much as 72 is 720.
To find the numbers that are 10 times as much as 72 or 1/10 of 72, we can perform the following calculations:
10 times 72 = 720
1/10 of 72 = 7.2
So, the numbers that are 10 times as much as 72 are 720.
The number 67 is not 10 times as much as 72 or 1/10 of 72. Therefore, it is not one of the numbers we are looking for.
On the other hand, 1/10 of 72 is 7.2, which is not one of the numbers we are looking for either.
Therefore, the only number that is 10 times as much as 72 is 720.
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complete question
Select all the numbers that are 10 times as much as 72, 67, or 1/10 of 72.
- 67
-46
-720
-480
Mrs Tilley Keeps a variety of poultry. This pie chart shows the numbers of What each kind:
27 Geese, 72 Hens, 45 Turkeys and 36 Ducks.
32. What percentage of the poultry are hens?
33. What percentage of the poultry are geese?
34. What fraction of the poultry are ducks?
35. What fraction of the poultry are turkeys?
Answer:
32. 40%
33. 15%
34. 1/5
35. 1/4
Step-by-step explanation:
Question 32
% Hens = No. of hens / Total poultry% Hens = 72 / 27 + 72 + 45 + 36% Hens = 72 / 180 = 2/5% Hens = 40%Question 33
% Geese = No. of geese / Total% Geese = 27/180 % Geese = 3/20% Geese = 15%Question 34
% Ducks = No. of ducks / Total% Ducks = 36/180% Ducks = 1/5Question 35
% Turkeys = No. of turkeys / Total% Turkeys = 45/180% Turkeys = 1/4Answer:
32. 40%
33. 15%
34. 1/5
35. 1/4
Step-by-step explanation:
Given:
27 Geese72 Hens45 Turkeys36 Ducks⇒ Total poultry = 27 + 72 + 45 + 36 = 180
\(\sf Percentage = \dfrac{Part}{Whole}\times 100\)
\(\implies \sf Hens = \dfrac{72}{180}\times 100=40 \%\)
\(\implies \sf Geese= \dfrac{27}{180}\times 100=15 \%\)
\(\sf Fraction= \dfrac{Part}{Whole}\)
\(\implies \sf Ducks=\dfrac{36}{180}=\dfrac{36 \div 36}{180 \div 36}=\dfrac{1}{5}\)
\(\implies \sf Turkeys=\dfrac{45}{180}=\dfrac{45 \div 45}{180 \div 45}=\dfrac{1}{4}\)
list all the prime numbers which satisfy this inequality
Answer:
2 is a prime number.
5 is a prime number.
Step-by-step explanation:
Prime numbers are numbers that can only be multiplied by 1 and itself.
Brainliest please! I am so close to getting my next rating! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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Find the length side of W
Answer:
17.99
Step-by-step explanation:
Trig Ratios:
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Tangent
We can use trig ratio sine as we are given an angle ( 40° )and the hypotenuse (28) and we need to find its opposite side (w)
Recall that sin = opposite over hypotenuse
That being said we want to create an equation to solve for w
\(sin(40)=\frac{w}{28}\)
Now we solve for w
Step 1 multiply each side by 28
\(\frac{w}{28} *28=w\\sin(40)*28=28sin(20) = 17.99\)
we're left with w = 17.99
Simplify (5xy)6
...........................
Answer:
15625x^6y^6
Step-by-step explanation:
5^6= 5×5×5×5×5×5=15625
(xy)^6=x^6y^6
Dominique bought 7.5 pounds of peanuts at $4.00 per pound. How much should she have paid?
Answer:
30
Step-by-step explanation:
Dominique should have paid $30
ex: 7.5 x 4.00= 30
Find the area of the circle. Use the approximate value of 3.14 for pi.
Answer:
1519.76
Step-by-step explanation:
The formula for calculating the area of a circle is πr^2.
22^2 = 484
484 x 3.14 = 1519.76
The graph of the linear equation 3x + 5y
= 15 cuts the x-axis at the point ________.
Answer:
(0,5)
Step-by-step explanation:
3x-5y=15
Plug in 0 for y, because we are trying to find the value of x, when y is 0
so, 3x-5(0)=15
3x=15 Divide both sides by 3
x=5
so the answer in coordinate form is (0,5)
Use mathematical induction to prove that the statement is true for every positive integer \( n \). 5) \( 6+12+18+\ldots+6 n=3 n(n+1) \)
The statement
6
+
12
+
18
+
…
+
6
�
=
3
�
(
�
+
1
)
6+12+18+…+6n=3n(n+1) is true for every positive integer
�
n.
We will prove this statement using mathematical induction.
Base case: For
�
=
1
n=1, the left-hand side (LHS) is
6
6 and the right-hand side (RHS) is
3
(
1
)
(
1
+
1
)
=
6
3(1)(1+1)=6. So, the statement holds true for
�
=
1
n=1.
Inductive hypothesis: Assume that the statement is true for some positive integer
�
k, i.e.,
6
+
12
+
18
+
…
+
6
�
=
3
�
(
�
+
1
)
6+12+18+…+6k=3k(k+1).
Inductive step: We need to prove that the statement holds true for
�
=
�
+
1
n=k+1. That is, we need to show that
6
+
12
+
18
+
…
+
6
(
�
+
1
)
=
3
(
�
+
1
)
(
(
�
+
1
)
+
1
)
6+12+18+…+6(k+1)=3(k+1)((k+1)+1).
Starting with the left-hand side of the equation:
6
+
12
+
18
+
…
+
6
(
�
+
1
)
=
6
+
12
+
18
+
…
+
6
�
+
6
(
�
+
1
)
.
6+12+18+…+6(k+1)=6+12+18+…+6k+6(k+1).
Using the inductive hypothesis, we replace the sum of the first
�
k terms:
=
3
�
(
�
+
1
)
+
6
(
�
+
1
)
=
3
(
�
+
1
)
(
�
+
2
)
.
=3k(k+1)+6(k+1)=3(k+1)(k+2).
Rearranging and factoring:
=
3
(
�
+
1
)
(
(
�
+
1
)
+
1
)
.
=3(k+1)((k+1)+1).
We have shown that if the statement is true for
�
=
�
n=k, then it is also true for
�
=
�
+
1
n=k+1. Since we have established the base case and the inductive step, we can conclude that the statement is true for every positive integer
�
n by the principle of mathematical induction.
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Ann made $143 for 11 hours of work.
At the same rate, how many hours of work would she have to work to make $243
Answer:
22 hours
Step-by-step explanation:
So, 143 equals eleven hours. 143 plus 143 would equal 243. So, you have two 143s which means you should multiply the 11 hours by two. 11x2 equals 22.
show that if x=1-2y/3y+5, then 3xy+2y=1-5x
The equation x=1-2y/3y+5, can be expressed as 3xy+2y=1-5x below:
How can the expression be shown?The concept that will be used in the expression is simplification and expansion.
Given x=1-2y/3y+5
then we can cross multiply as
x(3y+5) = 1-2y
Then we can expand the equation as
3xy + 5x = 1-2y
then we can rearrange the equation as:
3xy+2y=1-5x
Therefore, the fact that x=1-2y/3y+5, can be simplified to 3xy+2y=1-5x has been shown.
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Which value is equivalent to x+4/4+x?
O-4
O-1
O 1
O4
The correct option for the given radical equation is option C. The value after operation is equal to 1.
Given radical expression:
\(\frac{x+4}{4+x}\)
Now, we know that the addition is commutative.
Using commutative property, 4+x = x+4,
So,
\(\frac{x+4}{x+4}\)
Both numerator and denominator has same value, hence they could be cancelled.
\(\frac{x+4}{4+x}\) = \(\frac{x+4}{x+4}\)
\(\frac{x+4}{x+4}\) = 1.
Therefore, the value which is equivalent to x+4/4+x is equal to 1.
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2x + 6 = 6x - 22
Infinite Solutions
O No Solution
One Solution
O No answer text provided.
Answer:
it would be only one solution
Step-by-step explanation:
A trapezoid has a height of 6 inches, an area of 120 square inches, and one base measuring 13 inches. Find the length of the other base.
Answer:
27
Step-by-step explanation:
Givens
b1 = 13
b2 = ?
h = 6
Area = 120
Formula
Area = (b1 + b2) * h/2 Multiply by 2
2Area = (b1 + b2)*h Divide by h
2Area/h = b1 + b2 Subtract b1 from both sides
2Area/h - b1 = b2
Solution
2*120 / 6 - 13 = b2
40 - 13 = b2
b2 = 27
It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.
Question is down below:
ture
Step-by-step explanation:
the position would be not possible if for not for both
Find the value of AB.
Answer:
6
Step-by-step explanation:
We can look that AB=BC=CD=18/3=6
So, AB = 6
Answer:
Step-by-step explanation:
6....
A hypothesis can be differentiated from a theory because it is...
a. a specific prediction arising from the theory. c. it talks about how one specific variable affects d. all of the above.
A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.
Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.
A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.
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Simplify (2a²b⁵)(-3ab-⁴)
help.
Answer:
-6a\(x^{3\)b\(x^{6}\) - 8a\(x^{2}\)b\(x^{5}\)
Step-by-step explanation:
java coding for one acre of land is equivalent to 43,560 square feet. Write a program that calculates the number of acres in a parcel of land with 389,767 square feet.
public class acre calculator {
public static void main(String[] args) {
double square feet = 389767;
double acres = square feet / 43560;
system.out.println("The parcel of land with " + square feet + " square feet is equivalent to " + acres + " acres.");
}
}
In this program, we declare a double variable square feet with the value of 389,767, which represents the area of the parcel of land in square feet.
We then calculate the number of acres by dividing square feet by the constant value 43,560, which is the number of square feet in one acre. The result is stored in a double variable acres.
Finally, we output the result using the system.out.println() method, which prints a message to the console indicating the area of the land in acres.
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how do I compare 6.098 and 6.908
6.908 is greater than 6.098 as the second digit from the left is greater.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, are two numbers 6.098 and 6.908.
Now, starting from left both the numbers have the same digit so we can't
differentiate.
The digit after the decimal place to the first number is 0 and on the second it is 9 so definitely, the second number is greater.
∴ 6.098 < 6.908.
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Silas has 5 1/4 cups of flour. He uses 3 1/2 cups to bake bread, then he borrows another 2 cups from his neighbor. He wants to bake cookies, which take 2 3/4 cups of flour. Does he have enough? How much will he have left over, or how much more does he need?
Answer:
He has enough to bake the cookies with 1 cup of flour left over.
Step-by-step explanation:
5.25 cups to start - 3.5 for the bread = 1.75 remaining
1.75 cups + 2 cups from neighbors = 3.75 cups
3.75 - 2.75 for cookies = 1 cup left over.
(CO 3) Among teenagers, 73% prefer watching shows over the internet, rather than through cable. If you asked 104 teenagers if they preferred watching shows over the internet, rather than through cable, how many would you expect to say yes
We can expect 76 teenagers to say yes whether they preferred watching shows over the internet, rather than through cable.
To calculate the expected number of teenagers who would prefer watching shows over the internet, rather than through cable:
73%, which is equivalent to 0.73 prefer watching shows over the internet. (Given)
Total number of teenagers surveyed is 104. (Given)
Expected number of teenagers who prefer watching shows over the internet =
= 0.73 × 104
= 75.92
Since it is a discrete variable we cannot have a fractional part of a teenager, we need to round the solution to the nearest whole number. Rounding 75.92 to the nearest whole number gives us 76.
Therefore, we can expect 76 out of the 104 teenagers surveyed to say yes, they prefer watching shows over the internet, rather than through cable.
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This recipe makes 4 pancakes.
Sanjay follows the recipe but wants to make 24 pancakes.
How much of each ingredient does he need?
Recipe: Makes 4
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 ml milk
1 egg
2 tablespoons (tbsps) oil
Answer:
810 g flour
6 teaspoon (tsp) baking powder
12 tablespoons (tbsps) sugar
780 ml milk
6 egg
12 tablespoons (tbsps) oil
Step-by-step explanation:
24/4=6, so you need to multiply everything by six
Profit is the difference between revenue and cost. the revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 30x – 130. the cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. the variable x represents the number of skateboards sold.
Profit function in terms of x = 33x + 390.
What is a profit in business?
In its simplest form, it's the amount left after subtracting your total expenses from your total revenue. The money remaining, your profits, can either be kept in the business and re-invested to finance future growth, or distributed as a draw or dividends to stakeholders.Given that revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial
\(2x^{3} + 30x - 130\)
The cost, in dollars, of producing the skateboards can be modeled by
\(2x^{3} -3x - 520\)
Profit function = Revenue - cost
= \(2x^{3} + 30x - 130 - ( 2x^{3} - 3x - 520)\)
= 33x + 390
Therefore, profit function in terms of x = 33x + 390
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Attendance at october fest was 15% more than last year. this year's attendance was 1785 people. find the number of people who attended the festival last year. rounded to the nearest person
Using the concept of equations, 1552 people attended the festival last year.
What are algebraic equations?Two algebraic expressions are combined to create an algebraic equation using the equals (=) sign. Algebraic equations are also known as polynomial equations since they contain polynomials on both sides of the equal sign. An algebraic equation consists of variables, coefficients, constants, and algebraic operations including addition, subtraction, multiplication, division, and exponentiation.
An integer or set of integers that satisfy the condition in the equation are the roots or solutions of an algebraic equation.
Let the number of people who attended the festival last year =x
Then, we can write an equation as
1785=1.15 × x
x = 1785/1.15
=1552 people
So, last year's attendance = 1552
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Which Value could represent the probability of an unlikely event A) 15% B) 9/2 C )0.99 D)-3
Y'all I know the answer is A) 15% but I don't understand how to get that answer and that is the part I need help with
Option A) 15% is the most suitable representation of the probability of an unlikely event since it falls within the valid range of 0 to 1.
To determine the probability of an event, we typically express it as a value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In this case, we are looking for the probability of an unlikely event, which means the probability value should be relatively low.
Let's analyze each option:
A) 15%:
This option represents a probability value of 15%, which can also be expressed as 0.15. Since 0.15 is greater than 0 and less than 1, it falls within the valid range for a probability value. Therefore, option A) 15% is a reasonable representation of the probability of an unlikely event.
B) 9/2:
This option represents a fraction, 9/2, which is equal to 4.5. Since 4.5 is greater than 1, it does not fall within the valid range for a probability value. Therefore, option B) 9/2 is not a suitable representation of the probability of an unlikely event.
C) 0.99:
This option represents a probability value of 0.99. Although 0.99 is close to 1, it is still greater than 0. Therefore, option C) 0.99 is not a suitable representation of the probability of an unlikely event.
D) -3:
This option represents a negative value, -3. In probability theory, probabilities cannot be negative since they represent the likelihood of an event occurring. Therefore, option D) -3 is not a valid representation of the probability of an event.
In summary, option A) 15% is the most suitable representation of the probability of an unlikely event since it falls within the valid range of 0 to 1.
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