Answer: x-value
Step-by-step explanation:
the x-value is the input, domain and 1st element.
Answer:
x-value
Step-by-step explanation:
A closed half-plane is the solution of a linear inequality that comes close to the boundary line.
O True
O False
Answer:false
Step-by-step explanation:
Lizzie's grandfather is investigating the interest-rate options of two college funds. Option A gives 3% annual interest compounded yearly. Option B gives 2% annual interest compounded quarterly. Lizzie's grandfather wants to deposit his money into an account for 16 years. He decides to invest $3000 in each account for 16 years. How much money will Lizzie have for college in 16 years, rounded to the nearest dollar?
After 16 years, compounded yearly, Lizzie will have $5,995.68 for college in Option A and $5,789.95 in Option B, rounded to the nearest dollar.
For Option A, the interest rate is 3% compounded yearly. Using the formula for compound interest, we have:
FV = PV x (1 + r)ⁿ
where FV is the future value, PV is the present value, r is the annual interest rate as a decimal, and n is the number of years. Plugging in the values, we get:
FV = $3000 x (1 + 0.03)¹⁶ = $5,995.68
For Option B, the interest rate is 2% compounded quarterly. We need to convert the annual interest rate to a quarterly rate by dividing it by 4. Then we use the formula:
FV = PV x (1 + r/n)^(n x t)
where r/n is the quarterly interest rate, n is the number of compounding periods per year, and t is the total number of years. Plugging in the values, we get:
FV = $3000 x (1 + 0.02/4)^(4 x 16) = $5,789.95
Therefore, Lizzie will have $5,995.68 for college in Option A and $5,789.95 in Option B, rounded to the nearest dollar.
To know more about compounded, refer here:
https://brainly.com/question/20406888#
#SPJ11
Question 5 of 9
(10 2) 310 (2.3)
A. True
B. False
Convert 36 inches into feet? *
a.2
b.1
c.4
d.3
Answer: d. 3
Step-by-step explanation: 12 inches in a foot
a student can study 0, 1, or 2 hours for a history test on any given night. how many different ways can she study a total of 3 hours for the test on three consecutive nights?
The number of ways to study for 3 hours for 3 nights is 7.
i.e
(0, 1, 2), (0, 2, 1), (1, 0, 2), (1, 2, 0), (1, 1, 1), (2, 0, 1), (2, 1, 0)
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
Number of study hours = 3
Number of days = 3
Types of hours.
= 0, 1, and 2
The number of ways to study for 3 hours for 3 nights.
= (0, 1, 2), (0, 2, 1), (1, 0, 2), (1, 2, 0), (1, 1, 1), (2, 0, 1), (2, 1, 0)
Thus,
The number of ways to study for 3 hours for 3 nights is 7.
Learn more about combination here:
https://brainly.com/question/14355408
#SPJ1
which two values of x are roots of the polynomial below?
x^2 + 5x + 9
Answer:
The answer:
A. \(x= \frac{-5+ \sqrt{-11} }{2}\)
F.\(x= \frac{-5- \sqrt{-11} }{2}\)
Step-by-step explanation:
Step 1: Solve with quadratic formula
\(x_{1},2 = \frac{-b+- \sqrt{b^2}- 4ac }{2a}\)For \(a=1, b=5, c=9\\x_{1},2 = \frac{-5 + \sqrt{5^2 -4 *1 *9} }{2*1}\)Step 2: Simplify
\(\sqrt{5^2 - 4 *1 *9} : \sqrt{11} i\)Multiply the numbers: \(4*1*9 = 36\)\(i\sqrt{ 36 -5^2}\) = \(\sqrt{-5^2 + 36} = i\sqrt{11}\)\(5^2 = 25 = \sqrt{-25 + 36}\)Add/subtract the numbers \(-25 +36 = 11 = \sqrt{11} = \sqrt{11}i\)Step 3: Separate the solution
\(x_{1} = \frac{-5 + \sqrt{-11}i}{2} , x_{2} = \frac{-5 - \sqrt{-11}i}{2}\)Answer:
\(\large {\textsf{A and F}}\ \implies \bold{x_1}=\dfrac{-5-\sqrt{-11}}{2},\ \bold{x_2}=\dfrac{-5+\sqrt{-11}}{2}\)
Step-by-step explanation:
Quadratic Formula: \(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)
Standard Form of a Quadratic Equation: ax² + bx + c = 0, where a ≠ 0.
Given polynomial: x² + 5x + 9
⇒ a = 1, b = 5, c = 9
Step 1: Rewrite to Standard Form.
⇒ x² + 5x + 9 = 0
Step 2: Substitute the values of a, b, and c into the formula.
⇒ a = 1, b = 5, c = 9
\(x=\dfrac{-5\pm\sqrt{\bold{5^2}-4\bold{(1)(9)}}}{\bold{2(1)}}\\\\x=\dfrac{-5\pm\sqrt{25\bold{\ - \ 4(9)}}}{2}\\\\x=\dfrac{-5\pm\sqrt{\bold{25-36}}}{2}\\\\x=\dfrac{-5\pm\sqrt{-11}}{2}\)
Step 3: Separate into two possible cases.
\(x_1=\dfrac{-5-\sqrt{-11}}{2}\\\\x_2=\dfrac{-5+\sqrt{-11}}{2}\)
Other examples:
brainly.com/question/27988150
brainly.com/question/27740685
he mean salary of 150 employees of an organization was found to be Rs 22500 per month.Later on ,after disbursement of salary it was found that salary of two employees was wrongly entered as Rs 25760 and Rs 19590. The correct salaries were Rs 27760 and Rs 18590.Calculate the correct mean salary paid to employees .
The average monthly pay for 150 employees was Rs 22500; however, after two employees' salaries were incorrectly inputted, the actual average monthly pay for employees was Rs 22532.
150 x 22,500 equals the total salary before correction, or Rs.
After rectification, the total salary equals
(150-2)*22500 + 25760 + 18590, or Rs. 339060.
Correct mean pay is equal to Rs. 339060 / 150, or Rs. 22532.
Initial reports stated that the mean wage for 150 workers was Rs. 22500 per month. Further examination revealed, however, that two employees' salary had been put incorrectly as Rs 25760 and Rs 19590, respectively. The two employees' actual pay were Rs. 27760 and Rs. 18590. The total salary before rectification was therefore 150*22,500, or Rs. 337,000. After two employees' pay were adjusted, the total salary was (150-2)*22500.The average monthly pay for 150 employees was Rs 22500; however, after two employees' salaries were incorrectly inputted, the actual average monthly pay for employees was Rs 22532 (150-2)*22500 + 25760 + 18590 = Rs339060. Consequently, it was determined that Rs339060 / 150 = Rs22532 was the proper mean wage paid to employees. After correcting the two incorrectly reported salaries, the average monthly wage for the organization's employees came to Rs22532.
Learn more about average here
https://brainly.com/question/24057012
#SPJ4
Annabelle measured her bedroom as 11 ft Times 13 ft, which is 143 square feet. She wants to change the units to square inches. Which statements should she consider when converting? Check all that apply. There are 12 inches in every foot. The length and width will increase by a factor of 1. 2 times 10 Superscript 1. The length and width will increase by a factor of 1. 2 times 10 Superscript 0. The area will increase by a factor of (1. 2 times 10 Superscript 1 Baseline) (1. 2 times 10 Superscript 1 Baseline) = 1. 44 times 10 Superscript 2 Baseline = 144, since area is length times width. The area will increase by a factor of 2 (1. 2 times 10 Superscript 1 Baseline) = (2 times 10 Superscript 1 Baseline) (1. 2 times 10 Superscript 1 Baseline) = 2. 4 times 10 Superscript 2 Baseline = 240, since both the length and width increase by that factor. The area will increase by a factor of 1. 2 times 10 Superscript 1, since both the length and width increase by that factor. The area will increase by a factor of 1. 2 times 10 Superscript 0, since both the length and width increase by that factor.
To convert the area of Annabelle's bedroom from square feet to square inches, she should consider the statements: "There are 12 inches in every foot" and "The area will increase by a factor of (1.2 * 10^1)."
When converting from square feet to square inches, Annabelle needs to consider the relationship between feet and inches. Since there are 12 inches in every foot, each dimension (length and width) of the bedroom will be multiplied by a factor of 12 when converting to inches. Therefore, the statement "The length and width will increase by a factor of 1.2 * 10^1" is incorrect.
Next, to calculate the area in square inches, we need to multiply the converted dimensions (in inches). Since both the length and width will be multiplied by a factor of 12, the area will increase by the square of that factor. The correct statement is "The area will increase by a factor of (1.2 * 10^1) * (1.2 * 10^1) = 1.44 * 10^2 = 144." This is because the area is calculated as length multiplied by width. Therefore, when Annabelle converts the area of her bedroom from square feet to square inches.
Learn more about the area here:- brainly.com/question/1631786
#SPJ11
A quadratic function with zeroes 1 and -9
Answer:
(x-1)(x+9) or x^2 + 8x-9, if you simplify.
Step-by-step explanation:
Step-by-step explanation:
By Factor theorem, (x - 1) and (x + 9) are factors of the function.
=> (x - 1)(x + 9) = x² + 8x - 9 is one such function.
if you were given the following statements write your conclusion
if you are given :
Answer:
ab and cd intersect at E because they are vertically opposite angles they always intersect at a point
a characteristic, usually a numerical value, which describes a sample is called a _______. a. parameter b. statistic C. constant d. variable
Answer: B. statistic
Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.
In the triangle shown below, find the value of a.
45°
9.2
I don’t get this someone pleas help out!
Given:
The figure of a right angle triangle.
Measure of one angle is 45 degrees.
Hypotenuse = \(9\sqrt{2}\)
Opposite side of angle 45 degrees = a
To find:
The value of a.
Solution:
In a right angle triangle,
\(\sin \theta=\dfrac{Perpendicular}{Hypotenuse}\)
It can be rewritten as:
\(\sin \theta=\dfrac{Opposite}{Hypotenuse}\)
For the given triangle,
\(\sin (45^\circ)=\dfrac{a}{9\sqrt{2}}\)
\(\dfrac{1}{\sqrt{2}}=\dfrac{a}{9\sqrt{2}}\)
\(\dfrac{9\sqrt{2}}{\sqrt{2}}=a\)
\(9=a\)
Therefore, the value of a is 9 units.
how do i draw out that z is the mid point of FG
Answer:
You put a dot in the middle of FG and call it z
Step-by-step explanation:
Answer:
Step-by-step explanation:
The midpoint of a segment FG is the average of the coordinates of points F and G. The midpoint is just (x1+x2)/2, (y1+y2)/2
Gianna invested \$750$750 in an account in the year 2010, and the value has been growing exponentially at a constant rate. The value of the account reached \$1,060$1,060 in the year 2015. Determine the value of the account, to the nearest dollar, in the year 2019
The value of the account in 2019 is $1398.
What is the rate of growth of the account?The formula that can be used to determine the growth rate is:
g = (FV / PV)^1/n - 1
Where:
g = growth rate FV = future value PV = present value n = number of years(1060 / 750)^1/5 - 1 = 7.164%
What is the value of the account in 2019?The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years$750 x ( 1.07164)^9 = 1398
To learn more about future value, please check: https://brainly.com/question/18760477
two times x divide five
Answer:
2x/5
Step-by-step explanation:
What type of slope does (-7,8) and (-7,0) have?
Answer:
Undefined slope
Step-by-step explanation:
any number divided by 0 is undefined
-8/0
Answer: m=12/7
Step-by-step explanation:
I looked it up for you bro
Odell Gleaves delivers Danberry Real Estate calendars to town residents after
school.
He is paid $0.06 for each calendar he delivers.
What is his total pay for a
week in which he delivered the following number of calendars?
Mon- 100
Tues- 130
Wed- 145
Thurs- 138
Fri- 210
Answer: $4.34
Step-by-step explanation:
Mon: 0.6x100= 60 cents
Tue: 0.6x130= 78 cents
Wed: 0.6x145= 87 cents
Thurs: 0.6x138= 82.8 cents
Fri: 0.6x210= 126 cents
60+78+87+82.8+126= 433.8 cents
There are 100 cents in a dollar
4.33.8 cents, so 4.34 if you round up (if the last number is five or greater round up)
what is the answer to the picture the two answers on there
In the expression given as -5 - (-7) = -5 + x, the value of x is 7.
What is the value of the expression?In Mathematics, expression simply means the mathematical statements which have at least two terms which are then related by an operator. It should be noted that they illustrate the relationship between the data given.
In this situation, it should be noted that the expression is given as:
-5 - (-7) = -5 + x
Collect like terms
-5 + 7 = -5 + x
x = -5 + 5 + 7
x = 7
The value of x is 7.
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
NEED HELP ASAP! PLZ DONT SPAM!
Which shows the image of quadrilateral ABCD after a rotation of 90 degrees counter clockwise about the origin.
Answer:
the third one is the answer. don't ask how.
Step-by-step explanation:
Can anyone help me please??
Answer:
I believe the answer is B 0.6
I hope this helps :)
Answer:
0.6
Step-by-step explanation: Since its 6, the probability should be 0.6
What is the equivalent expression
1/2^8
Answer:
c
Step-by-step explanation:
1/2^8
=1/256
a.
1^8/2
=1/2
b.
2^1/2
=1.414213562
c.
2^-8
=1/256
The equivalent expression as per the given expression will be equal to 2⁻⁸. Hence, option C is correct.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.
As per the given expression in the question,
1/2⁸
The solution for the expression will be,
= 1/256
And, the equivalent expression will be,
= 2⁻⁸
To know more about Expression:
https://brainly.com/question/14083225
#SPJ2
data sample contains all integers from 530 to 380 and all integers from 379 to 531. what is the mean of this sample?
The given data sample contains all integers from 530 to 380 and all integers from 379 to 531. This means that the sample includes 152 integers in total. To find the mean of the sample, we need to add up all the numbers and divide by the total number of integers.
To do this, we can take the average of the two endpoints (530 and 380), which is 455. Then we can add the sum of the integers between 380 and 530, which is (530-381+1) + (530-379) = 150 + 151 = 301. Finally, we divide the total sum by the number of integers, which is 152, and get:
Mean = (455 + 301) / 152 = 3.980263158
Therefore, the mean of the given data sample is approximately 3.9803.
In summary, we can find the mean of a sample by adding up all the numbers and dividing by the total number of items. In this particular sample, we first found the average of the two endpoints and then added the sum of all the integers between them to find the total sum. Finally, we divided the total sum by the number of integers to find the mean of the sample.
To learn more about mean, click here:
what is the area of a rectangle if it is 150 miles long and I and 50 miles wide
Answer:7500
Step-by-step explanation:150x50=7500
Answer:
7500
Step-by-step explanation:
For area, you just do length times width. 150 times 50 equals 7500.
Determine the actual area of logo 1 in square ft
The actual area of the logo 1 is 24ft²
What is area of shape?The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.
The actual sides of the logo 1 will be;
base = 1/2 in
= 1/2 × 8 = 4ft
small base = 1/4 × 8 = 2ft
The logo can be sub divided into two equal trapezoid.
area of trapezoid = 1/2 (a+b)h
= 1/2( 4+8) 2
= 12 ft²
area of the logo = 2 × 12 = 24ft²
Therefore the area of the logo is 24ft²
learn more about area of shape from
https://brainly.com/question/25965491
#SPJ1
A, B & C form the vertices of a triangle.
CAB = 90°, ABC = 38° and AC = 9.1.
Calculate the length of BC rounded to 3 SF.
In given triangle ABC the length if BC is 7.1 .
What is trigonometric functions?
A subfield of mathematics called trigonometry is concerned with the study of triangles. It is frequently referred to as "trig" casually. In trigonometry, mathematicians look at how triangles' sides and angles relate to one another.
Here in given triangle contains 90°, So it is right triangle.
Now using tangent function then
=> tan B = \(\frac{opposite}{adjacent}\) then
=> tan 38° = \(\frac{AC}{BC}\)
=> BC = tan 38° × AC
=> BC = tan 38° × 9.1
=> BC = 7.1
Hence the length of the side BC is 7.1.
To learn more about trigonometric function refer the below link
https://brainly.com/question/30174294
#SPJ1
The length of BC in the triangle ABC is 7.109.
What is the length of side?Trigonometry is a branch of mathematics concerned with the study of triangles. It is commonly referred to as "trig" in a casual manner. Trigonometry examines how the sides and angles of triangles relate to one another.
Because the given triangle contains 90°, it is a right triangle.
Now, using the tangent function,
The tangent function is one of trigonometry's six primary functions.
Tan A = Opposite Side/Adjacent Side is the Tangent Formula. In terms of sine and cosine, tangent may be represented as: Tan A = Sin
then,
= tan B = opposite side / adjacent side
= tan 38° = AC/BC
= BC = 38° tan x AC
= BC = tan 38° × 9.1
= BC = 7.109
As a result, the length of the side BC is 7.109.
To learn more trigonometry refer to :
https://brainly.com/question/24349828
#SPJ1
Matt has $3,000 and adds $10 each week to it. Tommy has $4,040 and spends $30 from it each week. After how many weeks will both Matt and Tommy have the same amount with them?
a) Write an equation in slope-intercept form to describe the amount of money Matt has. b) Write an equation in slope-intercept form to describe the amount of money Tommy has.
c) Write and solve an equation to answer the question.
Answer:
26 weeks
Step-by-step explanation:
Slope-Intercept Form y=mx+b
Matt: y= 10x+3000
Tommy: y= -30x+4040
10x+3000=-30x+4040
+30x +30x
40x+3000=4040
-3000 -3000
40x=1040
/40 /40
x=26
of 15 windup toys on a sale table, 4 are defective. if 2 toys are selected at random, find the expected number of defective toys.
By using probability, the expected number of defective toys when selecting 2 toys at random from the table is 8/15.
To find the expected number of defective toys when selecting 2 toys at random from a table of 15 windup toys, we can use the concept of probability. There are a total of 15 toys, and 4 of them are defective. Thus, the probability of selecting a defective toy in the first pick is 4/15.
Once we have picked one toy, there are now 14 toys remaining on the table. If the first toy was defective, there are now 3 defective toys left among the 14. If the first toy was not defective, there are still 4 defective toys left among the 14.
The expected number of defective toys can be calculated as the sum of the probabilities of each possible outcome, multiplied by the number of defective toys in that outcome. There are two possible outcomes: (1) both toys are defective or (2) only one toy is defective.
(1) Probability of both toys being defective:
(4/15) * (3/14) = 12/210
(2) Probability of only one toy being defective:
a) First toy is defective, second toy is not: (4/15) * (11/14) = 44/210
b) First toy is not defective, second toy is: (11/15) * (4/14) = 44/210
The expected number of defective toys is the sum of the probabilities multiplied by the number of defective toys in each outcome:
(2 * 12/210) + (1 * 44/210) + (1 * 44/210) = 24/210 + 88/210 = 112/210
Simplifying the fraction, we get: 112/210 = 8/15.
For more such questions on Probability.
https://brainly.com/question/30434935#
#SPJ11
A cylindrical storage vessel is 7cm in diameter and 6m long. Find its volumes.
211 cu. Cm
231 cu. Cm
251 cu. Cm
271 cu. Cm
Calculate the volume of a cylindrical container, whose diameter is 24cm and height is 14cm.
6336 cu. cm
6326 cu. cm
6226 cu. cm
6126 cu. cm
Calculate the total surface area of a cone of height 7cm and base radius 7cm.
306 sq. cm
307 sq. cm
308 sq. cm
309 sq, cm
Answer accurately.
1)Option B is the correct option.
231
2)Option A is the correct option.
6336
3)Option B is the correct option.
307 (not sure)
Pls help me I really need help for this question
Step-by-step explanation:
the correct answer is the third one
Ty has 230 pages of text to read in the next three days. If he averages 25 pages every 1 1/4 hours, how many hours will he be spending reading?
Answer:
11.5 hrs
Step-by-step explanation:
Divide 230 by 25. Then multiply your quotient by 1.25 which is 1 1/4 to get the number of hours. 230 divided by 25 is 9.2. 9.2 times 1.25 is 11.5
Hope This Helps!