The first term of a geometric sequence is 18 and the multiplier is 3.5. What is the 5th term of the sequence?
Answer:
2701.125
Step-by-step explanation:
fifth term = 18(3.5)^4
Answer:
a₅ = 2701.125
Step-by-step explanation:
Multiply each term by 3.5 , that is
a₁ = 18
a₂ = 3.5 × 18 = 63
a₃ = 3.5 × 63 = 220.5
a₄ = 3.5 × 220.5 = 771.75
a₅ = 3.5 × 771.75 = 2701.125
What is the radius, in centimeter, of a circle that has a circumference of 16π centimeters? A. 8 B. 16 C.32 D.6432 D
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:you spel't it wrong so if im right then its b and c
8+8
16+16
32+32
64+64What can you conclude about the relationship between government and big business before the Progressive Era began?
The government imposed strict regulations on big business
The government let big business do almost anything they wanted
The government helped working people unionize, upsetting big business
The government regularly sued big business in court
Answer: it’s the second one
Step-by-step explanation:
Jada makes sparking juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.
How much sparkling water does Jada need if she uses 15 cups of apple juice?
cups of sparkling water.
How much apple juice does Jada need if she uses 6 cups of sparkling water?
cups of apple juice.
Jada needs 10 cups of sparkling water if she uses 15 cups of apple juice.
Jada needs 9 cups of apple juice if she uses 6 cups of sparkling water.
PLEASE HELP HELP HURRY PLEASE !!!!!!!!
Answer:
what are we helping with?
Step-by-step explanation:
3. A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. 12 radius 18 height
Answer:
8138.88 cubic unit.
Step-by-step explanation:
Given that,
Radius, r = 12
Height, h = 18
We need to find the volume of the prop. The volume of a cylinder is given by the formula as follows :
[tex]V=\pi r^2 h\\\\V=3.14\times 12^2 \times 18\\\\V=8138.88\[/tex]
So, the volume of the cylinder is 8138.88 cubic unit.
find ST, find UV, Find the perimeter of triangle RST, find SU
Answer:
(a). ST = 15 units; (b). UV = 3 units; (c). [tex]P_{RST}[/tex] = 54 units; (d). SU = 9 units
Step-by-step explanation:
The centroid of a triangle is the intersection of the three median of the triangle.
If a median of a triangle is a perpendicular, then a triangle is an isosceles triangle.
please help! i'll give brainliest and 5 stars
Answer:
Step-by-step explanation:
x/2 = 20
*2 *2 (2 cancels)
x = 40
Answer:
x=40
Step-by-step explanation:
Write an equation for a line with a slope of 5 and y-inter of -3
Answer:
y=5x-3
Step-by-step explanation:
y=mx+b where m=slope and b= y-intercept
Find the equation of the straight line which passes through each of the following pairs of points.
(1,4) (3,10)
Answer:
y = 3x + 1
Step-by-step explanation:
First, find slope:
[tex]y2 - y1 / x2 - x1[/tex]
[tex]10 - 4/ 3 - 1 = 6 / 2 = 3[/tex]
Then, put the equation into point-slope form using the point (1, 4):
[tex]y - y1 = m(x - x1)[/tex]
where m is the slope
y - 4 = 3(x - 1)
If you want to put this into slope-intercept form, it would be
[tex]y-4=3(x-1)\\y - 4 = 3x - 3\\y = 3x + 1[/tex]
Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute?
0.25 miles per minute
0.09 miles per minute
4 miles per minute
11 miles per minute
Answer:
answer is 0.09 per minute
Step-by-step explanation:
edge 2021
write the decimal that represent the shaded portion on the model.
Answer:
.45
Step-by-step explanation:
Answer:
0.45
Step-by-step explanation:
Since 45 out of the 100 squares are shaded, it means the fraction would be 45/100 and 45/100 is equal to 0.45.
Please help!
Please answer the question on the screen!
Answer:
(x+1)²-5(x-7)= area
Area= (x+1)²-5x-35
Area= x²+2x-5x+36
Area= x²-3x+36
Step-by-step explanation:
Answer:
-12 is the answer but I don't know that is right or not ▪︎▪︎The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?
Answer:
There are 48 boys in the choir
Step-by-step explanation:
If logb y = 2x + logb x, find y.
Answer:
y = 2 x + log ( b x ) , y
Step-by-step explanation:
here you go buddy
who is good at math?
Answer:
i will forever hate math
Step-by-step explanation:
Find the value of x.
Answer:
x=71
Step-by-step explanation:
Find m w in rhombus TUVW.
Write the slope of the line containing each pair of points.
1. (3, 4) and (5, 7)
2. (5, 2) and (9,4)
Kinda confused on this
Answer:
1) 1.5 2) 0.5
Step-by-step explanation:
To find slope using two points like (x1,y1) and (x2,y2), the slope is (y2-y1)/(x2-x1), so for first question (7-4)/(5-3) = 3/2 = 1.5, and same for the second question.
If we add 7 to twice a number , we get 49. Find the number
ratio of boys to girls in a class of 27 is 1:2
Help me with this please 4 and 6 only though.
y=9x is proportional
y= 19x - 5 is non proportional.
Hope this helped
Answer:
well 4 is proportional.
6 is non proportinal
Step-by-step explanation:
The two arc lengths shown on the circles are equal, but the circles are different sizes. 2 circles. One circle has a radius of 8 inches and a shaded sector with an angle measure of 90 degrees. The second circle has a shaded sector with an angle measure of 120 degrees. One circle has a radius of 8 in. What is the radius of the other circle? Arc length circle 1 = Arc length circle 2 StartFraction 90 degrees over 360 degrees EndFraction (2 pi (8)) = StartFraction 120 degrees over 360 degrees EndFraction (2 pi (4)) One-fourth (16 pi) = one-third (2 pi r) 4 = two-thirds r r =
Answer:
6
Step-by-step explanation:
I just did the question
Last year Jo paid £245 for her car insurance.
This year she has to pay £883 for her car insurance.
Work out the percentage increase in the cost of her car insurance
(3 marks)
Answer:
Increase=638/245*100=260.40
Step-by-step explanation:
First: work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number.
Then: divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.
If using the method of completing the square to solve the quadratic equation
x2 + 13x -3 = 0, which number would have to be added to "complete the
square"?
Answer:
Step-by-step explanation:
The term added which completes the square is half of the linear coefficient squared. In a quadratic ax^2+bx+c, b is the linear coefficient, so in this case the added term would be
(13/2)^2=169/4=42.25
The term 13/2 is added to complete the square.
What is a quadratic equation?
A quadratic equation is a polynomial which has the highest degree equal to two. It is a second-degree equation of the form ax² + bx + c = 0, where a, b, are the coefficients, c is the constant term, and x is the variable.
For the given situation,
The quadratic equation is x^2 + 13x -3 = 0.
This is not the perfect square term. So we can solve this by using the completing the square method.
⇒ [tex]x^{2} +13x-3=0[/tex]
⇒ [tex]x^{2} +13x=3[/tex]
⇒ [tex]x^{2} +13x + (\frac{13}{2})^{2} =3+(\frac{13}{2})^{2}[/tex]
⇒ [tex](x+\frac{13}{2} )^{2} =3+\frac{169}{4}[/tex]
⇒ [tex](x+\frac{13}{2} )^{2} =\frac{181}{4}[/tex]
⇒ [tex]\sqrt{ (x+\frac{13}{2} )}^{2} =\sqrt{\frac{181}{4}}[/tex]
⇒ [tex](x+\frac{13}{2})[/tex] = ± [tex]\frac{\sqrt{181} }{2}[/tex]
Hence we can conclude that the term 13/2 is added to complete the square.
Learn more about quadratic equations here
https://brainly.com/question/12014272
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for all positive angles less than 360°, if csc csc (2x+30°)=cos cos (3y-15°), the sum of x and y is?
Answer:
35 degrees
Step-by-step explanation:
for all positive angles less than 360°, if csc (2x+30°)= cos (3y-15°), the sum of x and y is?
Let the given expression be equal to 1, hence;
csc (2x+30°)= cos (3y-15°) = 1
csc (2x+30°) = 1
1/sin(2x+30) = 1
1 = sin(2x+30)
sin(2x+30) = 1
2x+30 = arcsin(1)
2x+30 = 90
2x = 90-30
2x = 60
x = 60/2
x = 30 degrees
Get the value of y;
cos (3y-15°) = 1
3y - 15 = arccos (1)
3y - 15= 0
3y = 0+15
3y = 15
y = 15/3
y = 5
Sum of x and y;
x+y = 30 + 5
x+y = 35degrees
Hence the sum of x and y is 35 degrees
a train at a speed of 130 km/h and travels a distance of 1240 km. how long did it take the train to complete it's journey
Answer:
8 hours!
Step-by-step explanation:
4. A stamp collection contains 32 Canadian stamps, 20 United Kingdom stamps, and 12 Asian stamps.
Write a ratio, in simplest form, to compare all the stamps.
What 32:30:12 in sim plaits form
Answer:
it'll be 64:5
Hope this helps
Hope this helps ALL THE BEST!!
What is the answer here?
Answer:
x=4 y=3
Step-by-step explanation:
y=x-1
2x-3y=-1
put x-1 in for y and solve
2x-3(x-1)=-1
2x-3x+3=-1
-x+3=-1
-x=-4
x=4
put 4 in for y and solve
y=4-1
y=3
Divide (6x2 + 12x) by 3x
Answer:
choice 1) 2x+4
Step-by-step explanation:
(6x²+12x)/3x = 2x+4