Answer:
T(n) = 9n - 24
Step-by-step explanation:
The first term is -15, therefore a = -15
The difference between the 1st and 2nd term is 9, therefore d = 9.
Set up the equation with T(n) = a + (n-1)d
T(n) = -15 + (n-1)(9) = 9n - 24
divide the fractions whit whole nymber and simplify
Answer:
Which fractions
Step-by-step explanation:
Name the market angles in different ways
i hope my answers are ✅.......
For a ride on a rental scooter, Ahmad paid an $8 fee to start the scooter plus 6 cents per minute of the ride. The total bill for Ahmad's ride was $14.96. For how many minutes did Ahmad ride the scooter?
The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:
A graph titled Distance Vs Time is shown, with Time in hours labeled on the x-axis and Distance from Island in miles labeled on the y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, 7, and the scale on the y axis shows the numbers 0, 22, 44, 66, 88, 110, 132, 154, 176, 198. The graph shows a straight line joining the ordered pairs 0, 22, and 1, 66, and 2, 110, and 3, 154, and 4, 198.
What is the speed of the motorboat?
198 miles per hour
22 miles per hour
44 miles per hour
66 miles per hour
Answer:
44 mph
Step-by-step explanation:
[tex]\implies \mathsf{speed=\dfrac{change \ in \ y}{change \ in \ x}}[/tex]
[tex]\implies \mathsf{speed=\dfrac{198-22}{4-0}=44 \ mph}[/tex]
Can you help me to solve this problem?
Answer:
2 2/3
Step-by-step explanation:
Since we only know how much milk we have we will disregard the flour. That leaves us with 4 cups of milk total and 1 1/2 cups of milk per serving. Simply divide 4 by 1 1/2 to get your answer of 2 2/3. Now, if they only want full servings, then the answer would be 2.
Use the drop-down menus to complete the statements about factoring 14x2 6x – 7x – 3 by grouping.
The factors of the polynomial equation by complete the statements about factoring by grouping are,
[tex](2x-1)\\(7x+3)[/tex]
How to find the factor of polynomial?The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
To find the factor of a polynomial, make the groups of the equation, and equate them equal to zero.
The provided polynomial equation is,
[tex]14x^2+ 6x - 7x - 3[/tex]
Rearrange the equation,
[tex]14x^2- 7x + 6x - 3[/tex]
Take out the common terms 7x from the first two terms and 3 from the last two terms.
[tex]7x(2x- 1) + 3(2x - 1)\\(2x-1)(7x+3)[/tex]
Thus, the factors of the polynomial equation by complete the statements about factoring by grouping are,
[tex](2x-1)\\(7x+3)[/tex]
Learn more about factor of polynomial here;
https://brainly.com/question/24380382
Evaluate the following
[tex]tan15 \times \frac{cos15}{sin15} [/tex]
Answer: 1
Step-by-step explanation:
tan(15) * cos(15)/sin(15)
Use tan(x) = sin(x)/cos(x) to transform the expression:
= sin(15)/cos(15) * cos(15)/sin(15)
Cancel opposite terms on both sides:
= 1
3. The area of quadrilateral ABCD is 12 sq. units. Find X.
x is 9
Okay bye bye
:9 :O)
How do you find the area of a circular park and the radius is 18 yards
Answer:
The area of the circular park is about 1017.88
Step-by-step explanation:
First, we recall the area of a circle.
A= πr^2
Next, we plug in the radius
A= π*18^2
A= π*324
A= 1017.88
To conclude, that is how you find the area of a circular park.
Dion bought 3 pounds of oranges and 2 pounds of grapefruit. Write an expression to represent the amount of money Dion spent on the fruit. Then evaluate the expression. How much did Dion spend?
Solution:
Given:
Dion bought 3 pounds of oranges, and 2 pounds of grapefruit1 pound of oranges = o = $0.991 pound of grapefruit = g = $1.59Let's represent the number of oranges and grapefruits by the letters o and g.
This means that...
Dion purchase: 3o + 2gNow, let's solve the expression to find out how much does Dion has to pay.
Substituting o and g with the given values:
3o + 2g=> 3(0.99) + 2(1.59)=> 3(1.00 - 0.01) + 2(1.60 - 0.01)=> (3 - 0.03) + (3.20 - 0.02)=> 2.97 + 3.18=> $6.15We also know that Dion gave a $20. To find the change, subtract the money Dion gave with the money required to pay for the fruits.
=> 20 - 6.15=> $13.85Thus, Dion got $13.85 as change.
hi guys can you guys pls help me with this question
Answer:
A.600
B.980
C.350
D.210
Step-by-step explanation:
just see what the arrow
ASAP PLEASE HELP
5 of 10
Solve for
52 - 2 > 6
Give your answer as an improper fraction in its simplest form,
Answer:
True, 52-2 equals 50, 50 is greater than 6.
Step-by-step explanation:
Kaylee is a high school basketball player. In a particular game, she made some two point shots and some three point shots. Kaylee scored a total of 24 points and made 3 more three point shots than two point shots. Graphically solve a system of equations in order to determine the number of two point shots made, x,x, and the number of three point shots made, yy.
how would you graph this?
Answer:
Step-by-step explanation:
Let Kayla made number of 2 points shots = x
and the number of 3 points shots = y
Since she made total nine shots so the equation will be
x + y = 9 --------(1)
She scores a total of 22 points so the equation will be
2x + 3y = 22 --------(2)
Now we multiply equation (1) by 2 and subtract it from equation (2)
(2x + 3y) - 2(x + y) = 22 - 18
2x + 3y - 2x - 2y = 4
y = 4
from equation (1)
x + 4 = 9
x = 5
Therefore, number of 2 shots are 5 and number of 3 shots are 4.
Select the correct answer.
Calculate the weighted average for the data below.
A rectangle has a length of 11 inches and a width of 8 inches whose sides are changing. The length is increasing by 4 in/sec and the width is growing at 5 in/sec. What is the rate of change of the perimeter?
Answer:
9
Step-by-step explanation:
5+4=9
Which of the following values are solutions to the inequality? Choose all that apply.
5x - 7 < 13
A.3
B.5
C.10
D.-4
Which situation would cause the price of a product to fall the most?
A) The demand rises while the supply falls.
B) Both the demand and the supply fall.
C) Both the demand and supply rise.
D) The demand falls while the supply rises.
||ECONOMICS||
Answer: D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
PLSSSSSSSSSSSS HELP MEEEEE
Answer:
Step-by-step explanation:
1/2 * 8 * 15 * x=3360 c^3
x = 56 units
1) Ben has been 30 minutes late to work on each of the last 7 days. The number of hours that he has been late will be deducted from his usual 40 hour work week. How many hours will be deducted?
A) 2 hours
B) 3 hours
3.5 hours
D) 4.5 hours
E) 5 hours
Answer:
C) 3.5 hours
Step-by-step explanation:
30 minutes is a half of an hour.
So that would be seven halves of an hour.
If we multiply the amount of halves by the amount of day late we get our answer.
0.5 x 7 = 3.5
Or we could simply add 0.5 seven times.
Rearrange each of the following formula so the pronumeral in the bracket becomes the subject of the equation
3x+y=5 (Y)
Answer:
y = 5 - 3x
Step-by-step explanation:
3x + y = 5 ( subtract 3x from both sides )
y = 5 - 3x
Answer:
y = 5 - 3x
making y the subject:
3x + y = 5y = 5 - 3xchanging sides, changes positive (+) sign to negative (-)
changing sides, changes negative (-) sign to positive (+)
A6 m ladder leans against the side of a house. The bottom of the ladder is 2 m away from the side of the house. Find X, the angle of elevation of the ladder.
Round your answer to the nearest tenth of a degree.
PLEASE HELP
Answer:
[tex]x = 5.65m [/tex][tex]\theta = cos^{-1}\bigg(\dfrac{1}{3}\bigg)[/tex]Step-by-step explanation:
Here it's given that a 6m ladder is leaned against a house, and the base of ladder is 2m away from the foot of the house. Here I am assuming x to be the height of the house.
Diagram :-
[tex] \begin{picture}(3,3)\setlength{\unitlength}{1cm} \linethickness{.6mm}\put(0,0){\line(1,0){4}}\put(0.01,0){\line(4,3){4}}\put(4,0){\line(0,1){3}}\put(4.3,1){$\bf x $} \put(2,-0.5){$\bf 2m$}\put(1,1.5){$\bf 6m$}\put(.9,0.2){$\bf\theta $}\put(2,4){$\boxed{\sf - RISH4BH }$}\end{picture} [/tex]
Using, Pythagoras theorem ,
[tex]\longrightarrow h^2=p^2+b^2 [/tex]
Substitute,
[tex]\longrightarrow (6m)^2=x^2+(2m)^2[/tex]
Simplify,
[tex]\longrightarrow 36m^2= x^2+4m^2 [/tex]
Subtracting 4m² on both sides,
[tex]\longrightarrow x^2 = 36m^2 -4m^2=32m^2 [/tex]
Put square root on both sides,
[tex]\longrightarrow x =\sqrt{32m^2}[/tex]
Simplify,
[tex]\longrightarrow \underline{\underline{ x = 5.65\ m}}[/tex]
Again in order to find out the angle of elevation,
[tex]\longrightarrow cos\theta =\dfrac{b}{h} [/tex]
Substitute,
[tex]\longrightarrow cos\theta =\dfrac{2m}{6m}[/tex]
Simplify,
[tex]\longrightarrow cos\theta =\dfrac{1}{3} [/tex]
Take cos inverse both sides,
[tex]\longrightarrow \underline{\underline{\theta =cos^{-1}\bigg(\dfrac{1}{3}\bigg)}}[/tex]
The length of the wall is 5.66m and the angle of elevation is 70.56°
Data;
Length of Ladder (Hypothenuse) = x = 6mDistance from the wall to the foot of the ladder (adjacent)= y = 2mThe length of the side of the house (opposite) = zPythagorean TheoremTo calculate the length of the wall or side of the house, we have to use Pythagorean theorem which is given as
[tex]x^2 = y^2 + z^2[/tex]
Let's substitute the values and solve for the length of the wall
[tex]x^2 = y^2 + z^2 \\6^2 = 2^2 + z^2 \\36 = 4 - z^2\\z^2 = 36 - 4\\z^2 = 32\\z = \sqrt{32} \\z = 5.66m[/tex]
The length of the wall is 5.66m.
Angle of ElevationTo calculate the angle of elevation, we can use trigonometric ratio SOHCAHTOA
since we have the value of all the sides, we can decide to use any of the ratios.
I will use sine angle to solve for the angle of elevation.
[tex]sin \theta = \frac{opposite}{hypothenuse} \\sin \theta = \frac{5.66}{6} \\sin \theta = 0.943\\\theta = sin^-^1 (0.943)\\\theta = 70.56^0[/tex]
The angle of elevation is 70.56°
Learn more on Pythagorean theorem and trigonometric ratio here;
https://brainly.com/question/6241673
Select the correct number from each drop-down menu to complete the equation. 7/8 - (-2+3/4) = ( ____+____) + 7/8
Answer:
1+1/4
Step-by-step explanation:
Subtract 7/8 from both sides of the equation
so 2-3/4=5/4
An angel whose measure is less than 90 is called an acute angel
Answer:
Yes, the statement is true
Btw, it's an angle not angel
Please mark as brainliest
Answer:
that is True.
Find the distance between each pair of parallel lines with the guven equation y=2x+7 y=2x-3
Answer:
10
Step-by-step explanation:
The y-intercept for each line is...
y=2x+7 (0, 7)
y=2x-3 (0, -3)
Note this is because...
y=mx+b
b represents the y-intercept
Using the distance formula...
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex]d=\sqrt{(0-0)^2+(7-(-3))^2[/tex]
[tex]d=\sqrt{0+(10)^2[/tex]
[tex]d=\sqrt{0+100}[/tex]
[tex]d=\sqrt{100}[/tex]
[tex]d=10[/tex]
The half-life of a radioactive element is five years. A scientist has 18 grams of the element. The equation
representing the number of grams, g, after x years is §. What is the annual rate of decay?
g=18(0.5)
The annual rate of decay is r = 0.87
How to use the half-life?
We know that if a quantity has a half-life of T, then the rate of decay must be such that:
r^T = 0.5
This means that when a time T passes, the original quantity becomes half of what it originally was.
In this case we know that the half-life is T = 5 years, then we have:
r^5 = 0.5
r = 0.5^(1/5) = 0.87
Then the annual rate of decay is r = 0.87, and if the initial quantity is 18 grams, we can write the exponential decay as:
f(t) = 18g*(0.87)^t
If you want to learn more about exponential decays, you can read:
https://brainly.com/question/11464095
Answer:
13%
Step-by-step explanation:
I took the test on edge and got it right
Chord AB is 3cm from the center of a circle, the radius of the circle is 5cm, calculate the length of the chord.
Answer:
[tex]\large{\boxed{\sf Chord = 8cm }}[/tex]
Step-by-step explanation:
First see figure in attachment . As we know that ,Perpendicular from centre of the circle bisects the chord . Hence here ,
OC is the perpendicular bisector of chord AB . Let us assume that AC = x , therefore ,[tex]\sf\qquad\longrightarrow AB = 2AC = 2x [/tex]
Now in ∆OAC , by Pythagoras Theorem , we have ;
[tex]\sf\qquad\longrightarrow (5cm)^2= x^2+(3cm)^2\\ [/tex]
[tex]\sf\qquad\longrightarrow 25cm^2=x^2+9cm^2\\[/tex]
[tex]\sf\qquad\longrightarrow x^2=25cm^2-9cm^2\\[/tex]
[tex]\sf\qquad\longrightarrow x^2=16cm^2\\ [/tex]
[tex]\sf\qquad\longrightarrow \pink{ x = 4cm } [/tex]
Therefore , the length of chord will be ,
[tex]\sf\qquad\longrightarrow AB = 2x \\ [/tex]
[tex]\sf\qquad\longrightarrow AB = 2(4cm)\\[/tex]
[tex]\sf\qquad\longrightarrow \pink{ AB = 8cm } [/tex]
Hence the length of chord is 8cm .
How many times greater is the product
of 5x20 compared to 10x20?
Answer:
2 time greater
Step-by-step explanation:
5x20=100
10x20=200
100x2=200
so its 2 times greater
i frl hate khan academy help
Answer:
52%
Step-by-step explanation:
There are 25 filled in squares in the first image, and 13 filled in squares in the second image.
To find the percentage we can divide the part of the base (a) by the base (b).
a = 13
b = 25
13/25 = 0.52
Move the decimal two places over to the right.
Work out the size of angle x give a reason for your answer
How many groups of 2 are in 7 explain your answer
We have: 7 = 2 × 3 + 1
Answer: 3
Ok done. Thank to me :>