Step-by-step explanation:
Hey there!
The given series: -3,2,7,12,17,22.....
Common ratio (d) = t2-t1
= 2+3
= 5
No of terms (n) = 10
First term (a) = -3
Now;
[tex]sn = \frac{n}{2} (2a + (n - 1)d)[/tex]
Keeping all values we get;
[tex]s10 = \frac{10}{2} (2 \times - 3 + (10 - 1)5)[/tex]
Simplify it.
[tex]s10 = 5( - 6 + 45)[/tex]
or, S10 = 195.
Therefore, S10 = 195.
Hope it helps!
A=1/2 bh; solve for b
I need help anyone help me with this
Answer:
b=2A/h
Step-by-step explanation:
[tex]A = \frac{1}{2} bh \\ \\ \therefore \: 2 A = bh \\ \\ \therefore \: b = \frac{2 A}{h} [/tex]
Answer:
b = 2A/h
Step-by-step explanation:
To isolate b, you should first "get rid" of the 1/2. The best way to do this to multiply both sides of the equation by 2. The left side becomes 2A, while the right becomes bh (1/2 multiplied by its reciprocal, 2, becomes 1). Next, you have to move the h to the left side, and you could do so by dividing both sides by h. The left side becomes 2A/h, and the right is just b by itself, getting you b = 2A/h.
Point P is the center of the circle below. What is the exact area
of the shaded sector in terms of pi?
A. 16 pie units?
B. 48 pi units?
C. 120 pi units?
D. 192pi units
NEED HELP ASAP PLEASE
Answer:
[tex]Area =192\pi[/tex]
Step-by-step explanation:
Given
[tex]\theta = 120^o[/tex]
[tex]r =24[/tex]
Required
The area of the shaded sector
This is calculated as:
[tex]Area =\frac{\theta}{360} * \pi r^2[/tex]
This gives
[tex]Area =\frac{!20}{360} * \pi *24^2[/tex]
[tex]Area =\frac{1}{3} * \pi *576[/tex]
[tex]Area =\pi *192[/tex]
[tex]Area =192\pi[/tex]
The equation of the line that passes through the point (1,5) and is parallel to the linex + 3y =6
Answer:
Y=3x+2
Step-by-step explanation:
first you have to put it in the formula y = mx + c
Y=3-x
in this format c = 0 so there's no intercept
Y=3x+c
The parallel line will have the same gradient but different intercept.
Now we substitute the coordinates(1,5) into the formula.
y = 5
x = 1
5=(3*1)+c
5=3+c
Now we make c the subject.
c=2
So the answer is:Y=3x+2
The dimensions (width and length) of room1 have been read into two variables : width1 and length1 . The dimensions of room2 have been read into two other variables : width2 and length2 . Write a single expression whose value is the total area of the two rooms. (width1length1) (width2length2)
Answer:
Total area of the two rooms = (width1length1) + (width2length2)
Step-by-step explanation:
The area of the rectangular shape is given by = Length * breadth
Therefore the area of the two rooms can be calculated using the above formula when the variables lengths and widths are given.
Area 1= Area of the first room = length * breadth= (width1length1)
Area 2=Area of the second room = length * breadth= (width2length2)
Total area of the two rooms = Area1 + Area 2
= (width1length1) + (width2length2)
Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3.
Answer:
you will need to specify a scale and draw the line from which I will solve with simultaneous linear equations
BRAINLIEST if correct
Answer:
1. You roll two standard number cubes and the sum is 1.
2. You roll a standard cube and get a number less than 2.
3. You draw a black card from a standard deck of playing cards
4. A spinner has 5 equal sections numbered 1 through 5. You spin and land on a number less than or equal to 4.
Step-by-step explanation:
Mark me as brainliest!
Please help, last week of school and I don’t understand this at all
Answer:
The answer to the problem is C
Answer:
The correct answer is B
Step-by-step explanation:
It's because when you're graphing the equation, more than or equal to symbol is a black line, therefore you can cross out A and C. It's B because it's more than 0, D if it was graphed would have the other side shaded, therefore its b
The sum of 15 and Rhonda's age is 62.
Answer:
I guess the que is wrong
........
Answer:
Step-by-step explanation:
let the rhonda's age be r
according to the question the euqation is
15+r=62
r=62-15
r=47
=5−82 find slope value
Factorize the following:
x^2 – xy + xz – yz
2) ab(x^2 + y^2 ) + xy(a^2 + b^2 )
3) y^2 – 36
4) (x+2)^2 – 9
Answer:
[tex](1)x {}^{2} - xy + xz - yz \\ x(x - y) + z(x - y) \\ (x - z)(x - y) = 0[/tex]
There are 15 boys and 12 girls in Rosemary’s class. One of the students is selected at random to be the class monitor. What is the probability the student selected is a girl?
A.
45
B.
59
C.
54
D.
49
Answer:
D.
Step-by-step explanation:
The probability the student selected is a girl will be;
⇒ 0.44
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
There are 15 boys and 12 girls in Rosemary’s class.
One of the students is selected at random to be the class monitor.
Now,
Since, There are 15 boys and 12 girls in Rosemary’s class.
Hence, Number of students = 15 + 12
= 27
So, The probability the student selected is a girl = 12 / 27
= 0.44
Therefore, The probability the student selected is a girl = 0.44
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ2
1. Find P (phone has internet or phone plays music) using this Venn diagram.

2. Explain why we need to subtract P(A and B) in the equation P(A or B) = P(A) + P(B) - P(A and B).
Answer:
tough question guy needed more points to answer
Step-by-step explanation:
MARK AS BRAINLIESTCharlene's grandad is three times as old as her.
He is 78 years old. How old is Barney?
pls help oooooooooooooopoo
9514 1404 393
Answer:
140°
Step-by-step explanation:
Angles 1 and 3 are "corresponding" angles, so are congruent.
∠1 = ∠3
20x +60 = 30x +20
40 = 10x . . . . . . . . . . . . subtract 20x+20
4 = x . . . . . . . . . . . . . . divide by 10
∠1 = 20x +60 = 20(4) +60 = 80 +60
∠1 = 140°
Answer:
140°
Step-by-step explanation:
Angle 1 and angle 3 are corresponding angles ;
Corresponding angles are equal ;
Hence,
Angle 1 = Angle 3
20x + 60 = 30x + 20
Collect like terms
20x - 30x = 20 - 60
-10x = - 40
x = 4
Angle 1 is thus :
20x + 60 ; x = 4
20(4) + 60
80 + 60
= 140°
The Pythagorean Theorem can be used to find the distance between points (3, 2) and (6, 4). Select all the points that could be the third vertex in the
triangle.
(0,0)
(3,4)
(3,6)
(4.5,3)
(6,2)
(3,4) and (6,2) could be vertices of a right triangle with (6,4) and (3,2)
(0,0) is on the same line as (6,4) and (3,2) so it doesn't even form a triangle, much less a right triangle.
(3,6) forms a scalene isosceles triangle, but not a right triangle It's a 4-sqr13-sqr13 triangle
(4.5,3) also forms an obtuse isosceles triangle, but not a right triangle It's a sqr13 - sqr3.25 - sqr3.25 triangle
for part A the choices are 25 and 34 and for part b it is 2 and 10
Answer:
Part A is 34
Part B is 2
Step-by-step explanation:
This question did provide some clues to answer this question. Every week, the area covered by the algae is multiplied by 2^1.
To find the area cover increase by the algae per day, the exponent should be divided by 7 since there are 7 days in a week. Hence, every day, the area covered by the algae multiplies by 2^(1/7). In other words, 1 day after the algae was spotted, the area is 12.5 * 2^(1/7), which answers part B.
10 days after the algae was spotted, the area covered by the algae is 12.5 * 2^[(1/7)*10] = 33.6475... , which rounds up to 34 and answers part A.
Evaluate the following expression.
2^0
Answer:
1
Step-by-step explanation:
2^0
Any number raised to the zero power is 1
HELP ME NOW PLEASE 100 POINTS
Answer:
43.5 in^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 ( b1+b2) h where b1 and b2 are the lengths of the bases and h is the height
We need to change 1 1/4 ft to inches = 1.25 (12) = 15 inches
A = 1/2 ( 15+14) 3
A = 1/2(29)*3
43.5 in^2
Deondra has $420 to spend at a bicycle store for some new gear and biking
outfits. Assume all prices listed include tax.
• She buys a new bicycle for $236.31.
She buys 2 bicycle reflectors for $3.07 each and a pair of bike gloves for
$34.75.
• She plans to spend some or all of the money she has left to buy new biking
outfits for $59.50 each.
Write and solve an inequality which can be used to determine o, the number
of outfits Deondra can purchase while staying within her budget.
Answer:
Deondra can buy 2 outfits.
Step-by-step explanation:
Since Deondra has $ 420 to spend at a bicycle store for some new gear and biking outfits, and she buys a new bicycle for $ 236.31, 2 bicycle reflectors for $ 3.07 each and a pair of bike gloves for $ 34.75, and she plans to spend some or all of the money she has left to buy new biking outfits for $ 59.50 each, to determine the number of outfits Deondra can purchase while staying within her budget the following calculation must be performed:
(420 - (236.31 + 2 x 3.07 + 34.75)) / 59.5 = X
(420 - (236.31 + 6.14 + 34.75)) / 59.5 = X
(420 - 277.2) / 59.5 = X
142.8 / 59.5 = X
2.4 = X
Therefore, Deondra can buy 2 outfits.
Given the Graph, identify the y-intercept
Answer:
5
Step-by-step explanation:
Plsss help no one answered the other times I put this question
Answer:
a) The equation (10s + 8w) represents the calories Bridget ate on Monday and the equation (20s + w) represents the calories she ate the next day.
b) The number of calories in each strawberry is 4 and the number of calories in each vanilla wafer cookie is 19. The solution is s= 4 and w = 19.
Step-by-step explanation:
For part A, Bridget ate 10 strawberries and 8 vanilla wafer cookies on Monday. Since the the number of calories in a strawberry is s and the number of calories in a vanilla wafer cookie is w , the number of calories Bridget ate on Monday is 10s + 8w. The next day, Bridget ate 20 strawberries and 1 vanilla wafer cookie. Hence, the number of calories Bridget ate on the next day is 20s + w.
For part B,
we will create two different simultaneous equations.
Equation 1: 10s + 8w = 192
Equation 2: 20s + w = 99
We need to find one of the terms first to solve the other term. For this case, I will solve for w first.
Multiply the first equation by 2.
Equation 3: 20s + 16w = 192*2 = 384.
Now, subtract equation 2 from this new equation.
Equation 4:
(20s + 16w) - (20s + w) = 384 - 99
20s + 16w - 20s - w = 285
15w = 285
This leaves only w left and we can solve w.
w = 285 / 15 = 19
Now, we can solve for s using equation 2.
20s + 19 = 99
20s = 99-19 = 80
Hence,
s = 80/20 = 4
The surface area of this cylinder is
IM BEING TIMEDDD PLEASE HELPPPPPP
Choose the correct simplification of (6x3 − 7x − 4) + (4x3 + 8x + 3). (5 points)
2x3 − 15x − 7
10x3 + x − 1
2x3 + 15x + 6
10x3 − x − 1
Answer:
10x^3 + x - 1
Step-by-step explanation:
(6x^3 -7x - 4) + (4x^3 + 8x + 3)
Combine like terms
6x^3 + 4x^3 = 10x^3
Combine like terms
-7x + 8x = x
Combine like terms
-4 + 3 = -1
Combine the results of the terms
10x^3 + x - 1
To determine if the amount of money spent on alcohol increases as the semester continues, the same individuals were surveyed in August and in November. The amount that they spent on alcoholic beverages over one weekend in each of the months was compared. In this problem, we want to make inferences about:
Options for the question:
a. one mean
b. comparing means from dependent samples
c. comparing means from 2 independent samples
d. one proportion e. comparing proportions from 2 independent samples
f. comparing proportions from dependent samples
Answer:
b. comparing means from dependent samples
Explanation:
The samples are dependent as same individuals are sampled over the months(August and November). Therefore individuals sampled in August will likely show some of the same traits in November. Also we are comparing means since we are working with mean of alcohol consumed for each period and then comparing with another period/months.
solve the following system of equations using substitution:
y=8
y=-4x+4
Answer:
x = -1
y = 8
Step-by-step explanation:
8 = -4x + 4
4 = -4x
x = -1
Answer:
x = -1
y = 8
Step-by-step explanation:
8 = -4x + 4
4 = -4x
x = -1
Hope this answer helps you :)
Have a great day .
Mark brainliest
How much greater is - 31 than -62.09?
9514 1404 393
Answer:
31.09
Step-by-step explanation:
You find the difference by subtraction:
-31 -(-62.09) = -31 +62.09 = 62.09 -31
= 31.09
-31 is 31.09 greater than -62.09.
A jar contains 8 white marbles, 6 black marbles, and 1 red marbles. If one marble is drawn at random, find the probability that the marble is black.
Answer:
Hi there!
6/15 is the probability that the marble is black!
Step-by-step explanation:
Oki, so lets's find the total number of marbles first!
8 + 6 + 1 = 14 + 1 = 15
And just turn it into a fraction!(very simple and easy)
6/15
Answer:
2/5
Step-by-step explanation:
Find the value of x using the Pythagorean theorem
Answer:
Step-by-step explanation:
a^2+b^2=c^2
16^2+x^2=20^2
256+x^2=400
x^2=400-256
x^2=144
x=[tex]\sqrt{144[/tex]
x=12
Help please Ive been struggling on this question
Explanation:
Locate the point that has x = -3 as its x coordinate. The y coordinate is the output of the function when we use this x value. So the point (-3,-7) means that f(-3) = -7. As another example, f(2) = 3.
A gene for sweat gland production is found on the X chromosome. If a man who lacks sweat glands marries a woman who has normal sweat glands, what will be the phenotype of their children?A. All of the boys will lack sweat glands.B. All of the girls will lack sweat glands.C. The girls will have sweat glands in some areas, but lack sweat glands in others.D. All of the boys will have sweat glands.E. All the boys will have sweat glands, and the girls will have sweat glands in some areas but not others.
Answer:
Option D, All of the boys will have sweat glands
Step-by-step explanation:
Given -
Gene for sweat gland production is found on the X chromosome
Genotype of man - lacks sweat glands (XY)
Genotype of women - has normal sweat glands (X'X')
X' - sweat glands
X - no sweat glands
This is an X linked recessive trait
If these two mates, then the all males will have sweat glands
X'X' * XY ---> X'X, X'X, X'Y, X'Y
Option D, All of the boys will have sweat glands