Answer:
- 190
Step-by-step explanation:
Since the sum of 84 number series is -7980. We have to find the sum of first and last numbers. Since sum of an arithmetic sequence is represented as. S =. (First + last) =. So the total of first and last term is (-190). Option B. -190 is the correct option.
Answer:
B) -190
Step-by-step explanation:
Trust
4) The area of a piece of pie in the shape of a sector is 7.1 in. The angle of the sector is 40°. Find the diameter of
the circle.
Answer:
Step-by-step explanation:
Area of sector = angle/360 * pi * r^2
7.1 = 40/360 * 22/7 * r^2
7.1 = 1/9 * 22/7 * r^2
63.9 = 22r^2/7
r^2 = (7 * 63.9)/22
r^2 = 20.331818181818
r = square root of 20.331818181818
r = 4.51
d = r * 2 = 4.51 * 2 = 9.02
The diameter of circle is [tex]9.02 inch[/tex]
Area of sector :The area of sector is given as,
[tex]Area=\frac{\theta}{360} *\pi r^{2}[/tex]
Where r is radius of circle and [tex]\theta[/tex] is angle of sector.
Given that, area is 7.1 and [tex]\theta=40[/tex]
Substitute values in above relation.
[tex]7.1=\frac{40}{360}*3.14*r^{2} \\\\r^{2}=\frac{7.1*360}{40*3.14}=20.35\\ \\ r=\sqrt{20.35}=4.5[/tex]
The diameter of circle is,[tex]=2r=2*4.51=9.02inch[/tex]
Learn more about the diameter here:
https://brainly.com/question/23220731
please answer both questions!! will mark brainly
Answer:
m=2
mean is 13
What are the steps of finding the Circumference of a circle
Answer:
How to find the circumference of a circle:
Step-by-step explanation:
The circumference of a circle can be found by multiplying pi which is 3.14 by the diameter of the circleIf a circle has a diameter of 4, its circumference is 3.14 x 4 = 12.56If you know the radius, the diameter is twice as largeHope this helps! :)
Como se haya la media de esta distribución normal? "Se estima que la cantidad de dinero que gastan en gasolina los clientes de una estación de servicio sigue una distribución normal con desviación estándar de quince mil pesos. También se ha encontrado que el 4% de los clientes gasta más de 70.000 pesos."
Answer:
43750 pesos
Step-by-step explanation:
The first thing is to establish the formula in this case as it is a normal distribution is as follows:
z = x - m / sd
where x is the point value, m the mean, sd the standard deviation and z is the z score, we can calculate the z score by means of this 4% and it is found in the normal distribution table.
for 4%. z = 1.75
replacing:
1.75 = (70000 - m) / 15000
m = -1.75 * 15000 + 70000
m = -26250 + 70000
m = 43750
therefore we have that the average is 43750 pesos
(4x2 - 10x + 9) + (6x - 2) =
A) 4x2 - 4x + 7
B) 4x2 - 4x + 11
C) 4x2 - 16x - 7
D) 4x2 - 16x + 11
Answer:
4x^2−4x+7
Step-by-step explanation:
Let's simplify step-by-step.
4x^2−10x+9+6x−2
=4x^2+−10x+9+6x+−2
Combine Like Terms:
=4x^2+−10x+9+6x+−2
=(4x^2)+(−10x+6x)+(9+−2)
=4x^2+−4x+7
Answer:
=4x^2−4x+7
Answer:
A
Step-by-step explanation:
If 4+2=26 and 8+1=79 and 6+5=111 what is 7+3=?
*Please Show Work*
Leanne is trying to convert x^2+4x-6=0 the standard form to vertex form by completing the square which equation shows the correct form
Answer:
In vertex form we have y = (x + 2)^2 - 10
Step-by-step explanation:
x^2+4x-6=0 is in standard form; we want it in the form y - k = a(x - h)^2.
Complete the square within x^2+4x-6=0
We get x^2 + 4x - 6 = 0 => x^2 + 4x + 4 - 4 - 6, or
y = (x + 2)^2 - 10
Comparing this to y = (x - h)^2 - 10, we see that the vertex is at
(h, k) : (-2, -10)
Answer: [tex](x+2)^2-10=0[/tex]
Step-by-step explanation:
[tex]x^2+4x-6=0[/tex]
Let 0 = y to not mix up the numbers.
[tex]x^2+4x-6=y[/tex]
we are trying to get to this form: [tex]y=a(x-h)^2+k[/tex]
Let's group the variables to make it easier for us to complete the square.
[tex](x^2+4x)-6=y[/tex]
Complete the square by taking the number next to the x variable (4) divide it by 2 (4/2=2) and square it ([tex]2^2=4[/tex])
Add this.
[tex](x^2+4x+4)-6=y[/tex]
You also have to add it to the right side, but since we're looking to isolate y again, we're going to have to move it to the left side eventually; therefore, we can simply change the sign and add it to the left side.
In other words, instead of doing this:
[tex]-6=y+4\\-6-4=y[/tex]
I'm going to directly say the opposite of +4 is -4
[tex](x^2+4x+4)-6-4=y[/tex]
Now factor the parentheses and combine like terms;
[tex](x+2)^2-10=y[/tex]
And like we said y = 0, so change that...
[tex](x+2)^2-10=0[/tex]
Jasmine and her brother Nat are saving to buy a digital camera that costs $135. Jasmine earns $15 per week for babysitting and spends $5 of it. Nat earns $18 per week for walking dogs and spends $7 of it. Which expression can be used to find how many weeks it will take to save for the digital camera?
Answer:
7 weeks
Step-by-step explanation:
Jasmine=$10
Nat=$11
10+11=$22 each week
135/22=6.14
at least 7 weeks
How many solutions does this equation have –3(4x – 16) = 12(24x + 60)
Answer:
This equation has one solution, and it's at (-2.24,0)
Step-by-step explanation:
When graphed, it results in a vertical line that crosses the x-axis at -2.24. Hope this helps =)
what’s the answer for this question
is 5/2 irrational or rational
The figure below is an isosceles triangle. What is the perimeter of the triangle in terms of a
and c?
Hey there! I'm happy to help!
-------------------------------------------------------------------
WHAT IS THE PERIMETER?
The perimeter is just the distance around a shape. If you put a fence around a field, the length of all of the fencing is the perimeter.
-------------------------------------------------------------------
WHAT IS AN ISOSCELES TRIANGLE?
An isosceles triangle is a triangle that has at least two sides that have the same length! In our triangle, we have two sides that have the value of a, so that makes it isosceles!
-------------------------------------------------------------------
THE SOLUTION
In our problem, we want to find the perimeter of this triangle in terms of a and c. When we say in terms of, it just means that our answer will include a and c instead of finding a number value.
The perimeter is the sum of each of these sides. This means that the perimeter is a+a+c, which is also 2a+c.
Therefore, the perimeter of this isosceles triangle is 2a+c.
-------------------------------------------------------------------
I hope that this helps! Have a wonderful day! :D
Find the product.
2 1/3⋅3 1/2
Write the answer as a mixed number.
Answer:
Step-by-step explanation:
[tex]2\frac{1}{3}*3\frac{1}{2}=\frac{7}{3}*\frac{7}{2}\\\\=\frac{7*7}{3*2}\\\\=\frac{49}{6}\\\\=8\frac{1}{6}[/tex]
AWARDING BRAINLIEST! PLEASE HELP!!!
Answer:
Right triangle
Step-by-step explanation:
we are given three sides as 14 ft, 48 ft, and 50 ft
Firstly, we will verify for right angle
We know that any triangle is right angled when it satisfies Pythagoras theorem
We know that hypotenuse side value is always largest
so, hypotenuse=c=50
Let's assume other two sides as
a=14
b=48
now, we can use Pythagoras theorem formula
C²=a²+b²
we can plug values and we check whether left side is equal to right side
50²=14²+48²
2500=196+2304
2500=2500
we can see that left side is equal to right side
Since, it satisfies Pythagoras theorem
Therefore, Right triangle is the answer
Answer:
I believe, obtuse.
Step-by-step explanation:
You have one extremely small side, two long sides. If you put your hands together and logically measure the 14 length side, you'd realize it is obtuse. I have no mathematical evidence.
3
Find the volume of the prism. *
1.5 m
2 m
4 m
Answer choices are:
A) 8m^3
B) 12m^3
C)10m^3
6m^3
Answer:
[tex]12m^{3}[/tex]
Step-by-step explanation:
Multiply all the variables together to get the answer (only for rectangular prism).
So I basically did 4 x 2 x 1.5 = 12 Then I applied the unit of measurement and cubic meters as it is volume.The formula is length x width x heightRound 8,031,426,100. Write the result as the product of a single digit and a power of 10.
Answer:
Step-by-step explanation:
8,031,426,100
=8,000,000,000
=8×(10)^9
Solve the equation below.
3(17x – 6.5) = 108
Answer:
x=2.5
Step-by-step explanation:
3(17x – 6.5) = 108
Divide each side by 3
3/3(17x – 6.5) = 108/3
17x - 6.5 =36
Add 6.5 to each side
17x -6.5+6.5=36+6.5
17x = 42.5
Divide each side by 17
17x/17 = 42.5/17
x = 2.5
help me plisssssssssssssssssssssssssssssssssssss
How much water will it take to fill the aquarium?
Please anawer this question. Will put as brainliest if i get an answer
Answer:
4096
Step-by-step explanation:
You multiply 32 in. by 8 in. by 8 in.
Answer:
4096
Step-by-step explanation:
to find volume you can just multiply length, width, and height together :) Hope this helps!!! ❤
Which ordered pairs show the location of the bleachers? Check all that apply. (2.0, 1 and one-half) (1.50, 2.0) (–2.0, 1.50) (1.50, –2.0) (1 and one-half, 2) (1 and one-half, negative 2) plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
2 and 5
Step-by-step explanation:
hope this helps :)
A circle has a radius of
square route of 13 units and is centered at (-9.3, 4.1).
Write the equation of this circle.
Answer:
[tex](x+9.3)^{2} +(y-4.1)^{2} = 13[/tex]
Step-by-step explanation:
Answer:
(x+9.3)^2+(y-4.1)^2=13
Step-by-step explanation:
Evaluate 7 r − 15 s 7r− s 15 7, r, minus, start fraction, 15, divided by, s, end fraction when r = 3 r=3r, equals, 3 and s = 5 s=5s, equals, 5.
Answer: 18
Step-by-step explanation:
Evaluate 7 r − 15 /s
Given that r = 3 and s = 5
7r - 15/s
Substitute 3 for r and 5 for s in the above expression
7(3) - 15/5
= 21 - 3
= 18
Answer:
18
Step-by-step explanation:
Which expression represents the greatest common factor (GCF) of 48 and 136?A.2 x 2B.2 x 2 x 2C.2 x 2 x 2 x 3D.2 x 2 x 2 x 3 x 17
can someone pls help me
Find the greatest common factor of both 48 and 136:
GCF is 8.
The expression that equals 8 is
B. 2x2x2
Answer:
B. 2 x 2 x 2
Step-by-step explanation:
I took a quiz and got this right!!
Why is the perimeter of the parallelogram?
Answer:
the perimeter is 32 squares
Step-by-step explanation:
Can you plz answer question on the screenshot?
Answer:
Step-by-step explanation:
A square has an area of 9 cm^2. What is the length of each side?
Answer:
The side length is 3 cm
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
9 = s^2
Take the square root of each side
sqrt(9) = sqrt(s^2)
3 =s
The side length is 3 cm
Answer:
3cm
Step-by-step explanation:
As we know it's a square, we can just square the area to get:
[tex]\sqrt{9}[/tex] = 3
We know we can do this as to find the area of a square or rectangle you just need to multiply the sides together. As it's a square, all the sides are the same so they have the formula:
x * x = A (unit)^2
EMERGENCY!!!! EXTRA POINTS! I HAVE POSTED THIS QUESTION 5 TIMES AND HAD TO REPORT ALL RESPONSES! I ACTUALLY NEED HELP!
The amusement park in Riverdale charges a $10 entrance fee plus $1 per ride. The amusement park in Esterdamb charges a $5 entrance fee and $2 per ride. For how many rides will the cost be the same for both amusement parks? x= # of rides
Number of rides_____?
Cost_____?
Answer:
the price will be the same for either amusement park
Step-by-step explanation:
10+1(x)=?
5+2(x)=?
ex; x=5
10+1(5)= 5+2(5)=
10+5= 5+10=
15 15
Answer:
5 rides, cost of $15
Step-by-step explanation:
With the information given we have two expressions:
10 + 1x and 5 + 2x
Using these expressions we can create this equation:
10 + 1x = 5 + 2x
Knowing some information we can can simply analyze some information:
The closest number each of these equations could equal is 15,
1(5) is 5 + 10 = 15, and 2(5) is 10 + 5 = 15
15 = 15 this is a true statement, so we know this is answer
Hope this helps! Have a good day!
Help I am soo confusedd!!
Answer:
[tex]x^2+x[/tex]
Step-by-step explanation:
What this question is asking us to do is to find the area of the square and the rectangle individually and then add them together to find the total area of the whole rectangle.
Firstly, let us find the area of each of the rectangles.
Let us start with the light-blue square. It has side lengths x and x
This means that the area of this square is [tex]x*x=x^2[/tex]
Now the dark blue rectangle. It has sides with lengths x and 1.
This means that the area of this rectangle is [tex]x*1=x[/tex]
Now that we have the area of each of the rectangles, we can add them together to get the area of the whole rectangle
[tex]x^2+x[/tex]
2) The Club Auto Parts Company has just recently been organized. It is expected to experience no growth for the next 2 years as it identifies its market and acquires its inventory. However, Club will grow at an annual rate of 5% in the third and fourth years and, beginning with the fifth year, should attain a 10% growth rate which it will sustain thereafter. The last dividend paid was $0.50 per share. Club has a cost of capital of 12%. What should be the present price per share of Club common stock?
Answer:
$20.84
Step-by-step explanation:
div 1 = $0.50
div 2 = $0.50
div 3 = $0.50 x 1.05 = $0.525
div 4 = $0.525 x 1.05 = $0.55125
years 5 and beyond we need to use the growing perpetuity formula:
stock price = [div 4 x (1 + g)] / (r - g) = ($0.55125 x 1.1) / (12% - 10%) = $30.32
now to determine the current value of the stocks we must calculate the present value of the future dividends and stock price:
stock price = $0.50/1.12 + $0.50/1.12² + $0.525/1.12³ + $0.55125/1.12⁴ + $30.32/1.12⁴ = $0.45 + $0.40 + $0.37 + $0.35 + $19.27 = $20.84
Un parallelepipedo rettangolo ha una dimensione di base di 15 cm e l'altra è i 35 della prima. L'area totale misura 750 cm2. Di L'area laterale; L'altezza del parallelepipedo; Il volume. calcola
Answer:
1. Suprafața laterală este de 480 cm²
2. Înălțimea paralelipipedului este de 4,8 cm
3. Volumul paralelepipedului este de 648 cm³
Step-by-step explanation:
Un paralelipiped dreptunghiular are dimensiunea bazei de 15 cm, iar celălalt este 35 din primul. Suprafața totală măsoară 750 cm2. Din zona laterală; Înălțimea paralelipipedului; Volumul. Calcol
Aici avem
Dimensiunile bazei sunt;
a = 15 cm
b = 3/5 × 15 = 9 cm
c = Obligatoriu
De asemenea suprafața totală = 750 cm²
∴ deoarece suprafața totală = 2 · a · b + 2 · b · c + 2 · a · c
2 × 15 × 9 + 2 × 35 × c + 2 × 15 × c = 750
270 + 70 · c + 30 · c = 750
100 · c = 480
c = 4,8 cm
Suprafața laterală reprezintă suprafața totală mai puțin zona de sus și de jos
Prin urmare;
1. Suprafața laterală = 750 - 2 × 15 × 9 = 480 cm²
2. Înălțimea paralelipipedului = c = 4,8 cm
3. Volumul paralelipipedului = aria bazei × înălțimea
∴ Volumul paralelipipedului = 15 × 9 × 4,8 = 648 cm³.
