To find the value of 'x' that makes the function r(x) = 19, we need to solve the equation -5x - 1 = 19 for 'x'. After doing so, we obtain x = -4.
Explanation:This question involves finding the value of 'x' in a mathematical function provided, in order to get a specific output. The function provided is r(x) = -5x - 1 and the question states that the output r(x) should be 19. We can setup the equation -5x - 1 = 19 and solve for 'x'.
Adding 1 to both sides of the equation, we obtain -5x = 20. Dividing both sides by -5 gives x = -4. So, the value of 'x' that makes the function r(x) = 19 is x = -4.
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A life insurance policy costs $11.61 for every $1,000 of insurance. At this rate, what is the cost of $75,000 of insurance?
PLEASE HELP ME!!!!!! 20pts
Given: Circle P with a point O outside of the circle. How many tangent lines can be drawn from point O to the Circle P?
0
1
2
Infinite
The best way to determine how many tangent lines can be created is to actually draw the circle and point itself. Given circle and a point outside, extend lines going from the point to the circle where the line is tangent to the circle. From this, we can get only 2 tangent lines, nothing more. (See attached)
Answer:
2
Answer:
I think its 2
Step-by-step explanation:
The table shows the outputs, y, for different inputs, x:
Input (x) 2 5 9 12
Output (y) 20 15 12 8
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) = 5x + 14. Which relation has a greater value when x = 9? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 64? (5 points)
Ronnie cuts 3/4 inch sections of wood to make a birdhouse roof. he cut 12 sections. how many inches did he cut
Ronnie cut a total of 9 inches of wood. This is determined by multiplying the number of sections he cut (12) by the length of each section (3/4 inch).
Explanation:Ronnie cut 12 sections of wood, each measuring 3/4 inch to make his birdhouse's roof. In order to find out the total length of wood he used, we need to multiply the number of sections he cut by the length of each section. This is a basic multiplication problem in fractions.
So, 12 (sections) x 3/4 (inches/section) = 9 inches.
This means Ronnie cut a total of 9 inches of wood to make the birdhouse roof.
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Jack has 2,613 songs saved on his computer. Dexter has 4 times as many songs saved on his computer as Jack has. How many songs does Dexter have saved on his computer?
There are 18 girls in the school choir. The ratio of girls to boys is 1 to 2. How many boys are in the choir?
There are 36 boys in the school choir.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
There are 18 girls in the school choir.
The ratio of girls to boys is 1 to 2.
That means,
Girls / boys = 1/2
Substituting the values,
18 / boys = 1/2
Boys = 2 x 18
Boys = 36
Therefore, there are 36 boys.
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HEEEEEEEEEEEELP 20 POINTS FOR REAL
Shayla is baking muffins that require 1/2 cup vegetable oil. She only has 1/3 cup left. How much more does she need?
Find the constant of variation k for the direct variation. 3x+5y=0
Answer:
The constant of variation is
-3/5
your welcome XD
At a local store, hot dogs come in packages of 8, and hot dog buns come in packages of 12. For her party, Arpitha purchased the minimum number of hot dog packages and bun packages that she could while making sure to have the same number of hot dogs and buns. How many hot dogs can Arpitha serve at her party?
They both have 24 in common, She bought 3 packs of hotdogs and two packs of hotdog buns.
We have given that,
At a local store, hot dogs come in packages of 8, and hot dog buns come in packages of 12.
Let's first analyze the word problem we have here.
It is stating that she, Arpitha, bought the minimum packs of hotdogs and minimum packs of buns to get an equal number of buns to hotdogs.
We can find the multiples they have in common.
8, 16, 24, 32, 40
12, 24, 36, 48, 60
They both have 24 in common, She bought 3 packs of hotdogs and two packs of hotdog buns.
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Frederick needs to borrow $3000 for a down payment on a new car. His uncle decided to loan him the money as a 4.5% loan. Frederick doesn't want to pay more than $810 in interest. How many years does Frederick have to pay back the loan?
How to write an equation of a line in slope intercept form with two points?
someone please help me! thank you so much
Bob bought a bike for $250 and repaired it . He can now sell the bike for $300. What is the percent increase in the value bike ?
Answer:20%
Step-by-step explanation:
250*20%=50
50+250=300
Answer:
20%
Step-by-step explanation:
To get to work, a commuter must cross train tracks. the time the train arrives varies slightly from day to day, but the commuter estimates that he'll get stopped on about 15% of work days. during a certain 5-day work week, what is the probability that he doesn't get stopped all week long?
The probability that the commuter doesn't get stopped all week long is approximately 0.44.
Explanation:To find the probability that the commuter doesn't get stopped all week long, we need to find the probability of not getting stopped on each day and then multiply those probabilities together. Since the commuter estimates that he gets stopped on about 15% of work days, the probability of not getting stopped on a single day is 1 - 15% = 85%. To find the probability of not getting stopped all week, we raise 85% to the power of 5, since there are 5 work days in a week:
Probability of not getting stopped all week = (85%)5 = 0.85 * 0.85 * 0.85 * 0.85 * 0.85 = 0.44370515625.
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The probability that the commuter doesn't get stopped by the train all week long is 44%.
Explanation:This question falls under the category of probability in mathematics. The commuter estimates he'll get stopped 15% of work days, which implies that he'll have a smooth commute 85% of the time (100% - 15%). In a 5-day work week, the probability that he doesn't get stopped at all can be computed by multiplying the probability of not getting stopped each day. Therefore, the answer is (0.85)^5 or approximately 0.44, which represents 44%.
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Which value of a would make the following expression completely factored?
x2 – a
a 12
b 36
c 49
d 81
Answer:
The correct answer is twelve.
Step-by-step explanation:
The values of a would make the expression 36, 49 and 81.
The correct options are b, c, and d.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
To factor the expression x² - a completely, we need to write it as a product of two binomials.
This can be done using the difference of squares formula, which states that a² - b² = (a + b)(a - b).
If we apply this formula to x² - a, we get:
x² - a = (x + sqrt(a))(x - sqrt(a))
This is a factorization of x² - a into two binomials, where the constant term a is represented by the square root of a.
For the expression x² - a to be completely factored, both factors must be irreducible (meaning they cannot be factored any further). This requires that a be a perfect square.
Out of the given options, 36, 49, and 81 are perfect squares.
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If y = 285 when x = 57, what is y when x = 81?
Tony bowled 135 and 145 in his first two games. write and solve a compound inequality to find the possible values for a third game that would give him an average between 120 and 130, inclusive.
a.) 120 <= 135 +145+n/3 <=145; 120 <= n <= 140
b.) 135 <= 120 + 140 + n/3 <= 145; 80 <= n <= 85
c.) 120 < 135 + 145 + n/3 < 130; 80 < n < 110
d.) 120 <= 135 + 145 + n/3 <= 130; 80 <= n <= 110
Suppose that you work part-time as a sales representative at a car dealership. You earn a base salary of $125 per week plus a 18% commission on all sales that you make. Your best friend has exactly the same job at another car dealership but earning a base salary of 85$ per week plus a 21% commission on all sales. How much do you and your friend need to sell in order to earn the same amount in any given week?
A rectangle has perimeter 84 cm and length 35 cm. What is its width?
Answer: The required width of the rectangle is 7 cm.
Step-by-step explanation: Given that a rectangle has perimeter 84 cm and length 35 cm.
We are to find the width of the rectangle.
Let w represents the width of the rectangle.
According to the given information,
length, l = 35 cm and perimeter, P = 84 cm.
Therefore, we get
[tex]P=2(l+b)\\\\\Rightarrow 84=2(35+w)\\\\\Rightarrow 42=35+w\\\\\Rightarrow w=42-35\\\\\Rightarrow w=7.[/tex]
Thus, the required width of the rectangle is 7 cm.
If $2500 is invested at an interest rate of 4.5% per year, compounded daily, find the value of the investment after the given number of years. (round your answers to the nearest cent.)
$2500 is invested at an interest rate of 4.5% per year, compounded daily for 2 years will amount to $5225.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
Given, $2500 is invested at an interest rate of 4.5% per year, compounded daily, and assuming it is for 2 years.
∴ The amount compounded daily will be,
A = P(1 + (r/365)/100)ⁿˣ³⁶⁵ as compounded daily.
A = 2500(1 + (4.5/365)/100)²ˣ³⁶⁵.
A = 2500( 1 + 0.00101)⁷³⁰.
A = 2500(1.00101)⁷³⁰.
A = 2500×2.09 dollars.
A = 5225 dollars.
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To calculate the future value of an investment of $2500 at a 4.5% interest rate compounded daily for 5 years, we use the compound interest formula. Assuming 5 years of growth, the future value would be approximately $3117.14.
Explanation:If $2500 is invested at an interest rate of 4.5% per year, compounded daily, we need to find the value of the investment after a certain number of years. The formula to calculate the future value of an investment with daily compounding is given by:
FV = P × (1 + r/n)^(n×t)
where:
FV is the future value of the investment,P is the principal amount ($2500),r is the annual interest rate (4.5% or 0.045),n is the number of times the interest is compounded per year (365 for daily),t is the time the money is invested for, in years.To calculate the future value, we plug in the values into the formula. However, the number of years, t, has not been specified, so we'll need that to give a final answer. For our purposes, let's assume the student asks for the value after 5 years. Using the formula:
FV = $2500 × (1 + 0.045/365)^(365×t)
FV = $2500 × (1 + 0.00012328767)^(1825)
FV = $2500 × 1.246856823
FV = $3117.14 (rounded to the nearest cent)
After 5 years, the investment would be worth approximately $3117.14.
What is the value of x?
all angle = 60 degrees
so 2x-4 =60
2x=64
x = 64/2 = 32
x = 32
Wall posters are usually sold curled up in cylindrical cardboard tubes. if the length of the tube is 84.5 cm, and the diameter of the tube is 2.40 cm, what is the area of the poster, in cm2? (assume the poster doesn't overlap itself.)
a. 637 cm2
b. 203 cm2
c. 382 cm2
d. 1529 cm2
e. 605 cm2
The Earth's circumference measured at the equator is approximately 1.3148 × 108 feet. What is the number written in standard form?
Answer:
The number written in standard form is [tex]131,480,000[/tex]
Step-by-step explanation:
we have
[tex]1.3148*10^8[/tex]
we know that
[tex]10^8=100,000,000[/tex]
substitute
[tex]1.3148*10^8=1.3148(100,000,000)[/tex]
Remember that
When multiplying decimals by 10, move the decimal point one space to the right
In this case move the decimal point eight spaces to the right
[tex]1.3148(100,000,000)=131,480,000[/tex]
therefore
The number written in standard form is [tex]131,480,000[/tex]
What is 63108 divided by 72
What is the length of BC
*PLEASE HELP, BRAINLIEST* A salesman must commute 1 hour and 48 minutes from his house to the airport, fly to another city and take a bus to his destination. What is the total travel time one way?
The total travel time one way is 288 minutes.
Explanation:To find the total travel time one way, we need to add up the time spent on each part of the journey. The salesman spends 1 hour and 48 minutes commuting from his house to the airport. Let's convert this to minutes, which gives us 60 + 48 = 108 minutes.
Next, we add the flight time. The question doesn't specify the duration of the flight, so we can't determine that. We'll assume it takes 2 hours, which is 120 minutes. Finally, we add the time spent on the bus. Again, the question doesn't provide this information, so let's assume it takes 1 hour (60 minutes) by bus.
Adding up the commute time, flight time, and bus time, we get 108 + 120 + 60 = 288 minutes. Therefore, the total travel time one way is 288 minutes.
Factor completely 4x5 − 20x4 − 36x3. (1 point)
Answer:
The factored form of given polynomial is [tex]x^3(4x^2-5x-9)[/tex]
Step-by-step explanation:
Given the polynomial [tex]4x^5 - 20x^4 - 36x^3[/tex]
We have to factor the above polynomial completely.
[tex]4x^5 - 20x^4 - 36x^3[/tex]
Take [tex]x^3[/tex] common from each term.
[tex]x^3(4x^2-5x-9)[/tex]
Here, the quadratic polynomial is prime i.e it cannot be factored into lower degree polynomial. It has complex roots.
Hence, the factored form of given polynomial is [tex]x^3(4x^2-5x-9)[/tex]
Answer: 4x^3(x^2 - 5x - 9)
Proof of validity is shown below.
Approximately how many times greater is 9.75×106 than 1.25×102 ? 7.8 7800 78,000 780,000
Answer:
78,000
Step-by-step explanation:
9.75 is 7.8 times larger than 1.25.
However, we have powers of 10. In the first number, 10 is raised to the 6th power; in the second number, 10 is raised to the 2nd power. This means that the first number is 10⁴ times bigger than the second one, or 10000 times bigger.
This means in total, the first number is 7.8(10000) = 78000 times larger than the second one.
This can be confirmed by dividing the two; 9.75(10⁶)÷1.25(10²) = 78000
Answer:
78000
Step-by-step explanation:
Solve for N.
-n/5 = -5
N = -25
N = -1
N = 25
Decide which of the two points lies on the graph of the line
3x+y=10
A.3,1
B. 1,3