Answers
Answer:
A
Step-by-step explanation:
cos(60) = adjacent/hypotenuse
½ = B/5
B = 5/2
B = 2.5
Related Questions
6.
(08.01)
The graph shows two lines, M and N.
A coordinate plane is shown with two lines graphs. Line M has a slope of 1 and passes through the y axis at negative 2. Line N has a slope of 1 and passes through the y axis at negative 2.
How many solutions are there for the pair of equations for lines M and N? Explain your answer. (5 points)
Answers
Answer:
infinite solutions, they overlap infinetely and go on infinitely, therefore they have infinite points of intersection.
Step-by-step explanation:
BRAINLIET PLZ
The number of solutions for the coincident lines is infinity many solutions.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A coordinate plane is shown with two lines graphs.
Line M has a slope of 1 and passes through the y axis at negative 2.
Line N has a slope of 1 and passes through the y axis at negative 2.
It means that both lines are one over the other which is coincident.
Then the number of solutions for the coincident lines is infinity many solutions.
More about the linear system link is given below.
https://brainly.com/question/20379472
write the interval of points that are less than -4
Answers
The interval of points less than -4 is represented as (-∞, -4) in interval notation. This represents all the numbers to the left of -4 on the number line, not including -4.
Explanation:In Mathematics, when we refer to the interval of points that are less than a given number, we are discussing a range on a number line. For the question at hand, the interval of points that are less than -4 will consist of all numbers to the left of -4 (not including -4 itself). In interval notation, we typically express this as (-∞, -4). Here, the parenthesis ( as opposed to a bracket [ ) signifies that -4 is not included in our interval. Infinity ( ∞ ) is used to show that the range extends indefinitely.
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When the following quadratic equation is written in general form, what is the value of "c"?
-3/4x^2 + 2 = 0
Answers
Answer:
The value of c is -8
Step-by-step explanation:
Given
[tex]\frac{-3}{4} x^2 + 2 = 0[/tex]
Required
The value of c, when written in a general form.
The general form of a quadratic equation is written as ax² + bx + c = 0
To get the general form of [tex]\frac{-3}{4} x^2 + 2 = 0[/tex], we start by converting the fraction to whole number.
This is done by multiplying both sides of the equation by the denominator of the fraction (4)
Multiply through by 4; This gives us
[tex]4 * \frac{-3}{4} x^2 + 4 * 2 = 4 * 0[/tex]
[tex]-3x^2 + 8 = 0[/tex]
From the general form of a quadratic equation, ax² + bx + c = 0 , it'll be observed that a is positive and by comparison a = -3 (in [tex]-3x^2 + 8 = 0[/tex])
So, we have to convert -3 to a positive integer by multiplying both sides of the equation by -1. This gives
[tex]-1 * -3x^2 + -1 * 8 = -1 * 0[/tex]
[tex]3x^2 - 8 = 0[/tex]
Writing [tex]3x^2 - 8 = 0[/tex] in a more general form, we have
[tex]3x^2 + 0x - 8 = 0[/tex]
By comparing ax² + bx + c = 0 to [tex]3x^2 + 0x - 8 = 0[/tex]
a = 3
b = 0
c = -8
Hence, the value of c is -8
The value of "c" in the quadratic equation -3/4x^2 + 2 = 0, when written in the general form ax²+bx+c = 0, is 2.
The question asks, "When the following quadratic equation is written in general form, what is the value of "c"? -3/4x^2 + 2 = 0". In the general form, a quadratic equation is presented as ax²+bx+c = 0. To identify the value of c in this equation, we need to compare it to the general form. The given equation, -3/4x² + 2 = 0, already matches the general form where a = -3/4 and b = 0 (since there is no x term), leaving us with +2 as the constant term. Therefore, the value of c is 2.
In account is gaining value at a rate of 4.9% per year that account held $150 and it's first year how much will be in the account after 10 years
Answers
Answer:
$242
Step-by-step explanation:
You will need to use the compound interest formula for this.
[tex]P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate
n = number of times compounded annually
t = time
Your equation will look like this:
[tex]150(1+\frac{.049}{1} )^{10}[/tex] = $242
Your answer is: $242
Vicky works in retail. Her annual gross salary is $24,000. From this, she must pay 15% income tax. In addition, she must repay a loan at a rate of $120 per month. The loan amount is taken out of her post-tax pay (i.e. after the tax has been calculated). What is Vicky's take home pay per month?
Answers
Answer:
Vicky's take home pay per month will be $1,580
Step-by-step explanation:
Given that her salary per annual i.e salary for the year = $24,000
Therefore salary per month would be $24,000/12 = $2,000.
From this, she must pay 15% income tax.
i.e 15% of salary
15/100 * 2000
= 0.15*2000
= $300.
Salary after paying tax = $2,000 - $300= $1,700.
Since, she must repay a loan at a rate of $120 per month we will reduct the loan from her salary,
$1,700 - $120 = $1,580
Vicky's take home pay per month will be $1,580
Answer: Vicky's take home pay per month is $1,580
Step-by-step explanation: If Vicky's annual gross salary (salary before any deductions) is given as 24000, then her monthly gross salary is derived as;
Salary Per month = 24000/12
Salary per month = 2000
She must pay 15 percent income tax and this derived as follows;
Income tax = 2000 x 0.15
Income tax = 300
Therefore her salary after tax deduction is derived as follows;
Salary after tax = 2000 - 300
Salary after tax = 1700
However, she must repay a loan (after tax deduction) at a rate of 120 per month, which is now derived as follows;
Salary after loan repayment = 1700 - 120
Salary after loan repayment = 1580
Therefore the calculations show that her take home pay after all adjustments comes down to $1,580 per month.
The two-way table displays the hair color of the sophomore (So), junior (Jr), and senior (Sr) classes at West Coast High School, represented by percents in the table. A 5-column table has 3 rows. The first column has entries Blonde, brown, total. The second column is labeled Sophomore with entries 10, 10, 20. The third column is labeled Junior with entries 30, 20, 50. The fourth column is labeled Senior with entries 20, 10, 30. The fifth column is labeled Total with entries 60, 40, 100. Let E be the event that the student is blond, and let F be the event that the student is a junior. Are events E and F independent? P(E|F) = % P(E) = % Events E and F are
Answers
Answer:
P(E|F)=60% P(E)=60% Events E and F are independent
Step-by-step explanation:
I took it and got it right
The events E (being blond) and F (being a junior) are not independent because P(E|F) = 30% does not equal P(E) = 60%.
Explanation:To determine whether the events E (being blond) and F (being a junior) are independent, we compare the probability of E given F, denoted as P(E|F), to the probability of E. If P(E|F) is equal to P(E), the two events are independent. Using the table, we first calculate P(E|F). Since 30% of juniors are blond, we have P(E|F) = 30%. Next, we determine P(E) by looking at the total percentage of students who are blond, which is 60%. Now, we compare P(E|F) with P(E).
If the events were independent, the probability of a student being blond should not change based on whether they are a junior. However, since P(E|F) = 30% which is different from P(E) = 60%, events E and F are not independent.
Amir and Marvin continue until they each flip a coin
200 times. How do you expect Amir's results and
Marvin's results to compare? How will their results
compare with expected results based on theoretical
probability?
Answers
We are told that each person flips a coin 200 times. We know that a coin has two options when heads or tails fall, therefore, the results between Amir and Marvin are compared with the number of heads and the number of tails that each one obtained.
The theoretical probability says that out of 200 times a coin is flipped by having 50% heads or tails come out, 100 must be heads and 100 must be tails, theoretically obviously speaking.
Therefore with these values it would be the comparison.
Answer:
3456
Step-by-step explanation:
Find the 4 numbers which have a mode of 12, a median of 14 and range of 10
Answers
Answer:12, 12, 16, 22
Step-by-step explanation:
1. The number that occurs most is the mode
2. The range is the difference between the highest number and the lowest number.
3. The median in this case is the mean of the two middle numbers
A possible set of 4 numbers that fulfil the conditions of having a mode of 12, a median of 14 and a range of 10 could be: 11, 12, 12, 21.
Explanation:In this problem, we need to find 4 numbers that meet the given statistical conditions - A mode of 12, a median of 14, and a range of 10. The mode is the most frequently occurring number. As there are only 4 numbers, for 12 to be the mode, it must appear at least twice. The median is the middle value when numbers are put in ascending order, so the middle numbers in our 4 number series must average to 14. Finally, the range is the difference between the largest and smallest numbers, which is stated as 10.
Using the above conditions, an example set could be: 11, 12, 12, and 21. Here, 12 is the mode (appears most frequently), 14 is the median (average of the two middle numbers 12 and 12) and 21-11 gives a range of 10.
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What area is 20 and perimeter 18
Answers
Answer:
Width 4 Length 5
Step-by-step explanation:
4+4+5+5=18
4*5=20
Answer:if your talking about a square or rectangle then two sides would 5 and the other two four
Step-by-step explanation:area equals base times height
Base=5
Height=4
5*4=20 which is area
5+5+4+4=18 which is perimeter
A transit train from Boston to New York and a passenger train from New York to Boston departed at the same time, at 3:00 PM. The distance between New York station and Boston station is 280 miles. The speed of the transit train was 80 miles per hour. The speed of the passenger train was 60 miles per hour.
Chapter Reference
At what time will the trains pass each other?
Answers
The transit and passenger trains will pass each other at 5:00 PM, considering their combined speed and the distance between New York and Boston.
The question involves using relative speed to determine the time at which two trains traveling towards each other will meet. The transit train travels from Boston to New York at a speed of 80 mph, and the passenger train travels from New York to Boston at a speed of 60 mph. Since both trains start at the same time and move towards each other, their combined speed is the sum of their individual speeds, which is 80 mph + 60 mph = 140 mph. To find the time taken for the trains to meet, we divide the total distance by their combined speed.
The distance between New York and Boston is 280 miles. Therefore, the time taken to meet is calculated by dividing the distance by the combined speed, which is 280 miles / 140 mph = 2 hours. Given that they departed at 3:00 PM, they will pass each other at 3:00 PM + 2 hours = 5:00 PM.
Mrs. Smith wants to use an installment plan to buy a washing machine and dryer set priced at $1,500. The installment plan requires a down payment of 12%. How much will Mrs. Smith have to pay at the time of purchase (not including taxes)? A. $120 B. $150 C. $180 D. $1,200
Answers
Option C) Smith have to pay $180 at the time of purchase.
Step-by-step explanation:
Mrs. Smith wants to use an installment plan to buy a washing machine and dryer set priced at $1,500.
Therefore, the total cost = $1500The down payment for the installment plan is 12%.We need to find the payment amount at the time of purchase.
This can be calculated by finding the 12% of the total price $1500.
Smith have to pay at the time of purchase = 12% of 1500
⇒ (12/100) × 1500
⇒ 12 × 15
⇒ 180
Hence, option C) $180 is the amount need to be paid by the Smith at the time of purchase.
Mrs. Smith will have to pay $180 at the time of purchase, not including taxes. This matches option B.
To find the down payment Mrs. Smith has to pay at the time of purchase, we need to calculate 12% of the total price of the washing machine and dryer set.
The total price of the set is $1,500.
The down payment is 12% of this price.
To calculate the down payment, we multiply the total price by the down payment percentage:
Down payment = Total price x Down payment percentage
Down payment = $1,500 x 12%
First, we convert the percentage to a decimal by dividing by 100:
12% = 12 / 100 = 0.12
Now we can calculate the down payment:
Down payment = $1,500 x 0.12
Down payment = $180
Therefore, Mrs. Smith will have to pay $180 at the time of purchase, not including taxes. This matches option B.
What is the answer to this question
Answers
Answer:
A
Step-by-step explanation:
Given the exponential function
f(t) = 228[tex](0.975)^{t}[/tex] ← where t is time in years
Substitute t = 20 into f(t), that is
f(20) = 228 × [tex](0.975)^{20}[/tex] = 228 × 0.60268.... ≈ 137 → A
Help what is the square root of 4
Answers
Answer:i think 2
Step-by-step explanation: 2*2=4
Answer:2
Step-by-step explanation:2x2=4
The largest doll is 12 inches tall. The height of each of the other dolls is 710 the height of the next larger doll. Write an expression involving a power for the height of the smallest doll. Then evaluate the expression to find the height of the smallest doll to the nearest tenth of an inch.
The height of the smallest doll can be found using the expression
To the nearest tenth, the height of the smallest doll is
inches.
Answers
2nd doll = (12) x 0.7
3rd doll = (12 x 0.7) x 0.7
4th doll = [(12 x 0.7) x 0.7) x 0.7
So, the height of the nth doll can be expressed as: 12 x 0.7^(n-1)
Example: 4th doll = 12 x 0.7^(4-1) = 12 x 0.7^3
Answer:
Expression for smallest doll: 12(7/10)^3
Step-by-step explanation:
Since the largest doll is 12 inches, and we need to find the expression for the smallest one, we would multiply 12 and 7/10. Secondly, there are 4 dolls. We need to find the smallest doll's height, so it would be 7/10 times 7/10 times 7/10. Which could be simplified to (7/10)^3.
For the second question, just solve the expression and that is the height of the smallest doll.
(Express each ratio in lowest terms)
2/3 : 22/9
Answers
Answer:
3/11
Step-by-step explanation:
You have to divide the factors, so you would multiply 2 times 9 over 3 times 22. When you multiply them together you get 18 over 66. If you simplify that then you would get 3/11
Which line on the graph below has an undefined slope?
A. P
B. Q
C. R
D. S
Answers
Answer:
r
Step-by-step explanation:
got right on my test on edge
Hellpppppppppppppppp
Answers
Answer:
The sum of the interior angles of this polygon is (180°)(9 - 2) = 7(180°) = 1,260°.
a right rectangular prism has a base area of 20cm2 and a height of 9.2cm. what is the volume of the prism ??
Answers
The volume of the rectangular prism can be calculated by multiplying the base area (20cm2) with the height (9.2cm), giving a volume of 184cm3.
Explanation:The volume of a rectangular prism can be calculated as the product of its base area and its height. This is a formula that mathematically represents the process of 'filling' the three-dimensional shape with tiny cubes, each having a side length of 1 cm. In this case, the given base area of the rectangular prism is 20cm2, and the height is 9.2cm.
To find the volume, you multiply these two measurements together. So, 20cm2 * 9.2cm = 184cm3. Hence, the volume of the rectangular prism is 184cm3.
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Enter the degree of the polynomial below.
5х^5 + 8х^2 + 2х - 3x^9 - 8x^4 - 4х^5
A. 9
B. 6
C. 8
D. 5
Answers
Answer:
choice A. 9 is the degree.
Step-by-step explanation:
5х^5 + 8х^2 + 2х - 3x^9 - 8x^4 - 4х^5
to find the degree of this polynomial, you must look for the highest number in the exponent.
Here it appears to be 9 in the -3x^9 term
What is the center of the circle?
Answers
Answer:
C
Step-by-step explanation:
(3, -1)
Answer:
Your answer would be C
Step-by-step explanation:
Hope this helped!!!
Tell me if I am wrong
$1.79. Coupon: 25 cents. What is the final price?
Answers
Answer: 1.54
Step-by-step explanation: all you have to do is subtract 1.79 and 25 and you will get 1.54
Answer $1.54
Step-by-step explanation:
You have to take your original amount and subtract your coupon from that
Find X (image attached)
Answers
Line NP is a tangent line, so angle N is 90 degrees.
Use the Pythagorean theorem to solve for x.
X = sqrt( 10^2 - 6^2)
X = sqrt(100-36)
X = sqrt(64)
X = 8
Solve the equation log(x−7)=2
Answers
Answer:
x=107
Step-by-step explanation:
7+2=9
9-7=2
Just add and then subtract
Six more than the product of 24 and Vidya’s age
Answers
If we use v for Vidya's age, then the expression (24v)+6
What is the sum of the zeros of the equation (m-4) (3m-2)=0 ? Enter your answer as a fraction.
Answers
Answer:
4 2/3
Step-by-step explanation:
(m-4) (3m-2)=0
Use the zero product property to find the zeros
m-4 = 0 3m-2 =0
m =4 3m =2
m = 2/3
We want the sum of the zero's
4+ 2/3
4 2/3
From the quadratic equation (m-4) (3m-2)=0, we find the zeros of this equation are m=4 and m=2/3. The sum of the zeros is 4 + 2/3 = 4 2/3 or 14/3.
Explanation:The subject of the question is related to the zeros of a quadratic equation. A zero of a function is also referred to as a root or solution of the equation, which is the value of m that makes the function equal to zero. This equation has the form of (m-4) (3m-2)=0. It has two zeros: m=4 from (m-4)=0 and m=2/3 from (3m-2)=0.
Since the question asks for the sum of the zeros, we need to add these two solutions together: 4 + 2/3 = 4 2/3 or 14/3, which is our final answer.
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Please help me idk what the answer is?!??
Answers
Answer:
w ≤ 13
Step-by-step explanation:
-2(w-4) ≥ -18
Divide both sides by -2:
w-4 ≤ -18/-2
Don't forget to turn the inequality around, because we divided by a negative number!! We had greater than, now we have less than.
w-4 ≤ 9
Add 4 to both sides:
w ≤ 13
[tex] \frac{12151}{3}\pi [/tex]
round to the neatest whole number
Answers
I hope this is helpful :)
which equation represents a line parallel to the line whose equation is -2x+3y=-4 and passes through the point 1,3
Answers
Answer:
-2x+3y=7
or
2x-3y= -11
Step-by-step explanation:
-2x+3y= -4, which is Ax+By=C
A=-2 B=3 C=-4
m(slope)= -A/B
m= -(-2)/3
m= 2/3
y-y1= m (x-x1)
y-3= 2/3 (x-1)
Multiply by 3 cancels out the fraction
3y-9= 2 (x-1)
Distributive property
3y-9= 2x-2
-2x+3y-9= -2
From here it could go 2 ways:
1. -2x+3y= 7
or
2. 2x-3y+9= -2
so
2x-3y= -11
Hope this helps
A robot that makes _/8 of a boat per day will make 7 boats in 8 days
Answers
4x-2 >-18
what is the answer?!
Answers
Hope this will help u....