Answer:
34, 15, -4, -23 and -42
Step-by-step explanation:
We are to find the first five sequence
when n = 1
f(2) = f(1) - 19
f(2) = 34 - 19
f(2) = 15
when n = 2
f(2+1) = f(2) - 19
f(3) = f(2) - 19
f(3) = 15 - 19
f(3) = -4
when n = 3
f(3+1) = f(3) - 19
f(4) = f(3) - 19
f(4) = -4 - 19
f(4) = -23
when n = 4
f(4+1) = f(4) - 19
f(5) = f(4) - 19
f(5) = -23 - 19
f(5) = -42
Hence the first five terms in the arithmetic sequence are 34, 15, -4, -23 and -42
i need heelllppppp plzzzz someone helllppp meee
Answer:
The equation of the line is y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ A line passes through points (2, -1) and (-3, 3)
∴ x1 = 2 ad y1 = -1
∴ x2 = -3 and y2 = 3
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{3--1}{-3-2}[/tex] = [tex]\frac{3+1}{-5}[/tex] = [tex]\frac{4}{-5}[/tex]
∴ m = [tex]-\frac{4}{5}[/tex]
→ Substitute the value of m in the form of the equation above
∴ y = [tex]-\frac{4}{5}[/tex] x + b
→ To find b substitute x and y in the equation by the coordinates of one
point of the given points
∵ x = 2 and y = -1
∴ -1 = [tex]-\frac{4}{5}[/tex] (2) + b
∴ -1 = [tex]-\frac{8}{5}[/tex] + b
→ Add [tex]\frac{8}{5}[/tex] t both sides
∵ -1 + [tex]\frac{8}{5}[/tex] = b
∴ [tex]\frac{3}{5}[/tex] = b
→ Substitute the value of b in the equation
∴ y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
∴ The equation of the line is y = [tex]-\frac{4}{5}[/tex] x + [tex]\frac{3}{5}[/tex]
Simplify each expression.
2y+ (4 + 5y). 2d(3). Simplify those two please please answer i will give brainliest!
Answer:
7y + 4
Step-by-step explanation:
2y + 5y+4
add 2y and 5y
7y+ 4
Answer:
7y +4
Step-by-step explanation:
Open up the brackets ans collect your like terms and simplify the expression.
standard form for y=mx+b
Answer:
that's standard form for slope
Step-by-step explanation:
have a nice day :)
if rectangle one side is 8 times longer than the other then how long is all of the rectangle sides if rectangle perimeter is 270cm.
shorter side is -
longer side is -
Helppp!!!!me mark u brainly
Answer:
D. Jacob rode a 45-kilometer race in 3 hours.
Step-by-step explanation:
1h = 15km
A. : 30m = [tex]\frac{30}{60}[/tex] × 15km
= 7.5km (not 2km)
B. : 15m = [tex]\frac{15}{60}[/tex] × 15km
= 3.75km (not 4km)
C. : 5h = 5 × 15km
= 75km (not 20km)
D. : 3h = 3 × 15km
= 45km (Yep, 45km)
Bula went to Target and bought a new jacket. The price tag said $85 but the sign on the rack said
20% off the price tag. How much did Bula pay for the jacket?
$17
$65
$70
$68
Answer:
she paid 68 so it is d i think
Easy question? Please help I’ll give brainliest! :( Please provide small explanation like instructions it’s okay if not though
Answer: Ok so what i'v got for this one is that i averaged up all three numbers and i got an average of about 85%. Now you have to put in a fourth number which will actually be another 80% i believe
Step-by-step explanation: add up all 3 divide them all by the numbers then once your done with that plug in the 80% and see what your answer will be.
Please help me with this question! I would really appreciate it <333
Answer:
C or D definitely not A or B bc it is too close of a number to 24.75 for 15
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You want to find out how much it would be for 15 boxes
(5 , 11.25)
this is the first pair on the table multiply both by 3 because 5 x 3 = 15(boxes)
so we need to find how much it costs so now you multiply 11.25 by 3 which will be 33.75.
I have done this problem in my class and it is a believe me!
According to the table below how many cookies can be made with 1 cup of chocolate chips?
A. 3
B. 2
C. 5
D. 4
g+1/4Ua=b
solve for A.
Answer:
a=4b/u-4g/u
Step-by-step explanation:
You got this!
Name the plane represented by the front of the box.
BJC, DBF, GBF, or CAB
Answer:cab
Step-by-step explanation:
Answer: c. GBF
Step-by-step explanation:
-4<3x+5<=11
Solve the inequalities
Answer:
-3<x</2
Step-by-step explanation: the slash is the line.
Which expression is equivalent to (+12)×5+7 ?
A. 12+60
B. 12+12
C. 5+67
D. 5+12
3x + y = 2
x – 2y = 10
Someone help me
Answer:
x =2 nd y= -4
Step-by-step explanation:
That is your answer for the question I hope you get a good grades in school!!!
How do you do this and what would the answer be.
1 out of 3
Step-by-step explanation:
There are 5 cards. 3 of which are odd. if you lift 3 out of the five there is a 3 out of 5 chance itll be odd. while if it is only 3 cards. it would have to be a 1 out of 3 chance because there will always be an odd number involved.
If the roots of a polynomial are 4 and -2 what could the polynomial be
Answer:
2
Step-by-step explanation:
it may not be right because i guessed
mason opens a savings account by making a $165.85 deposit. Every week , he deposits another $20.50 in the account how much money will be in the account after 10 weeks
Answer
1,863.5
Step-by-step explanation: add 165.85 +20.50 =186.35 the do 186.35 x 10 =1,863.5
Solve for x: log 10^x = 21
Expand log (10^x).
x = 21
Answer:
10x=21
divide both sides by 10
WIll equal x=2.1
On her way to visit her relatives, Jessica drives 180 miles in 4 hours. What is her average rate of speed in miles per hour?
ASAP!!!
Answer:
It is 50 mph
Step-by-step explanation:
Interpreting Expressions
Breanna thought of a number, added 5 to it, and then multiplied her answer by 3. She got a final number of 21. What was her starting number?
Answer:
r u going to be a little late to the party but I
What is the value of the expression when a = -5 and c = -1?
Answer:
(8-5) + (16-1)=18
I need an answer to What is: p - 10 = 5
Answer:
P would be substituted with 15, so the equation would be accurate
Step-by-step explanation:
Leisa is Harold's older sister. Leisa says 2 + 5 (4) = 28 and Harold
says
2 + 5
(4) = 22 Who is WRONG? Explain what was done wrong.
Been stuck on this for hours, it's the Law of Sines. 25 POINTS!!
Answer:
Step-by-step explanation:
(Sin27) / 11 = (sin x) / 15
cross multiply
15 sin27 = 11 sin x
keep in calculator as you divide 15sin27 by 11.
sin x = .6190779542
do sin ^ -1 (.6190779542) (It’s a key on the calculator.)
x = 38.25*
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
According to the equation you are give, ...
sin(x)/15 = sin(27°)/11
Multiplying by 15 gives you ...
sin(x) = 15·sin(27°)/11 ≈ 0.619078
The inverse sine function is used to find the angle x. It may show as sin⁻¹ on your calculator.
x = arcsin(0.619078)
x ≈ 38.2°
_____
Additional comment
x is shown in the figure as an acute angle, so that is the value we have chosen. The other angle that has sin(x) = 0.619078 is the supplement of this, or 141.8°. The two solutions are shown in the 2nd and 3rd attachments.
Determine the intercepts of the line
Answer:
x - intercept: -1.2
y - intercept: -0.7
An angle measures 130.4° more than the measure of its supplementary angle. What is the measure of each angle?
Answer: 24.8 and 155.2
Step-by-step explanation:
x+x+130.4=180
2x=49.6
x=24.8
Answer:
155.2
Step-by-step explanation:
let x be the supplimentary angle
then the angle is
130.4+x
we have
130.4+x+x=180
2x=49.6
multiply both sides with 2
x=24.8
then the angle is
130.4+24.8
155.2
Write a linear function f with the values f(−1)=8 and f(5)=6.
Answer:
f(x)=1/3x+23/3
Step-by-step explanation:
Find the slope:
m= -1/3
Find the y-intercept:
b= -7 2/3
Substitute in the numbers to get:
f(x)=1/3x+23/3
Hope this helps! :)
The value of the linear equation will be;
⇒ f (x) = -1/3x + 23/3
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values are;
⇒ f (-1) = 8 and f (5) = 6
Now,
Let the linear function is,
⇒ f (x) = ax + b
Substitute f (-1) = 8 and f (5) = 6 in above equation as;
⇒ f (-1) = a × -1 + b
⇒ 8 = - a + b ... (i)
And, ⇒ f (5) = a × 5 + b
⇒ 6 = 5a + b ... (ii)
Solve (i) and (ii) as;
a = - 1/3 and b = 23 / 3
So, The linear equation become;
⇒ f (x) = ax + b
⇒ f (x) = -1/3x + 23/3
Thus, The value of the linear equation will be;
⇒ f (x) = -1/3x + 23/3
Learn more about the linear equation visit:
https://brainly.com/question/2030026
#SPJ2
please help i need this done by the next hour and i’m failing and struggling
3. The sector of a circle is shown below. It has a radius of 10 centimeters and a central
angle of 51 degrees. Find to the nearest tenth in both cases:
(a) the length of AB in centimeters(b) the area of the sector in square centimeters
1. An arc has a central angle of 1.8 radians and a radius of 20 inches. a. Determine the length of AB in inches
b. to the nearest degree what is the measure of
Answer:
Question 3)
[tex]\stackrel{\frown}{AC}=36\text{ inches}[/tex]
[tex]\angle BCA\approx103^\circ[/tex]
Question 1)
[tex]\stackrel{\frown}{AB}\approx 8.9\text{ cm}\\[/tex]
[tex]A\approx44.5\text{ cm}^2[/tex]
Step-by-step explanation:
Question 3)
We are given that the central angle is 1.8 radians and has a radius of 20 inches.
Part A)
The formula for arc length in terms of radians is given by:
[tex]s=r\theta[/tex]
Where s is the arc length, r is the radius, and θ is the angle in radians.
In this case, r is 20 and θ is 1.8. Hence, the arc length is:
[tex]\stackrel{\frown}{AC}=(20)(1.8)=36\text{ inches}[/tex]
Part B)
∠BCA is the central angle that measures 1.8 radians.
We can convert radians to degrees using the following formula:
[tex]\displaystyle d=\theta\cdot\frac{180^\circ}{\pi}[/tex]
Where d is the measure in degrees, and θ is the measure in radians.
Therefore:
[tex]\displaystyle d=1.8\cdot\frac{180^\circ}{\pi}\approx103.1324\approx103^\circ[/tex]
Question 1)*
Part A)
We will use the arc length formula in degrees given by:
[tex]\displaystyle s=2\pi r\cdot \frac{\theta^\circ}{360}[/tex]
Where r is the radius and θ is the angle measured in degrees.
We have a radius of 10 centimeters and a central angle of 51°. Therefore, our arc length is:
[tex]\displaystyle \stackrel{\frown}{AB}=2\pi(10)\cdot\frac{51}{360}=20\pi\cdot\frac{51}{360}\approx8.9\text{ cm}[/tex]
Part B)
We will use the formula for the area of a sector in degrees given by:
[tex]\displaystyle A=\pi r^2\cdot\frac{\theta^\circ}{360}[/tex]
So, we will substitute 10 for r and 51 for θ. Hence, the area of the sector is:
[tex]\displaystyle A=\pi (10)^2\cdot \frac{51}{360}=100\pi\cdot\frac{51}{360}\approx44.5\text{ cm}^2[/tex]
*Notes:
For this question, it is possible and completely fine for us to convert 51° to radians and then use the formulas in terms of radians.
Answer:
(1). 36 inch. , 103° ; (2). 8.9 cm , 44.5 cm² ;
Step-by-step explanation:
1).
(b). m∠BCA = 1.8 rad. × [tex]\frac{180}{\pi }[/tex] ≈ 103° ( π ≈ [tex]\frac{22}{7}[/tex] )
(a). C = 2 π r , the length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 20 ) ÷ 360° × 103.132° ≈ 36 inches
3).
(a). The length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 10 ) ÷ 360° × 51° ≈ 8.9 cm
(b). A = π r² , the area of the sector = ( [tex]\frac{22}{7}[/tex] × 10² ) ÷ 360° × 51° ≈ 44.5 cm²
GEOMETRY Please find the X! plspls
Answer:
What she said
Step-by-step explanation:
Please answer this quickly