Answer:
7
Step-by-step explanation:
The common ratio of the geometric sequence is 7.
What is geometric progression?Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern.
According to the question,
First term = a = 5
Third term = a×r²
= 245
⇒ ar² = 245
⇒ 5×r² =245
⇒ r² = 245/5
⇒ r² = 49
⇒ r = 7.
Hence the common ratio = 7
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NEED HELP PLSSSS I DONT KNOW THE ANSWER
Answer:
[ 3 , ∞ ) Set-Builder Notation:
{ x | x ≥ 3 }
Step-by-step explanation:
The area of a circle is 161 in. What is the radius?
Answer:
Approximately 7.16 in
Step-by-step explanation:
Hi there!
Area of a circle equation: [tex]A=\pi r^2[/tex] where r is the radius
Plug in the given area 161 in.²
[tex]161=\pi r^2[/tex]
Divide both sides by π to isolate r²
[tex]\frac{161}{\pi} =\frac{\pi r^2}{\pi} \\\frac{161}{\pi} =r^2[/tex]
Take the square root of both sides to isolate r
[tex]=r^2\\\sqrt{\frac{161}{\pi}} =r\\7.16=r[/tex]
Therefore, the radius of the circle is approximately 7.16 in.
I hope this helps!
PLZ HELP ME!!!
Find the volume of the triangular pyramid to the nearest whole number. Find the volume of the triangular pyramid to the nearest whole number.
A)72 units³
B)96 units³
C)144 units³
D)288 units³
Answer:
B
Step-by-step explanation:
6×8 /2 = 24
24 ×12 /3 = 96 units³
△ABC∼△DEF . Find DF.DF.
Answer:
do the answer is 24
in the picture there's the steps
Answer:
Step-by-step explanation:
since they are similar triangle use this ratio
AB/DE=AC/DF
4/12=8/3(x+1)
do cross multiplication
12*8=3*4(x+1)
96=12(x+1)
96=12x+12
96-12=12x
84/12=x
7=x
substitute the value of x
3(x+1)
3(7+1)
3*8
24
The stem-and-leaf plot shows the number of broken crayons in each crayon box at a preschool. What is the greatest number of broken crayons in a box? A 7 crayons B 47 crayons c 477 crayons d 1469 crayons
Answer:
47
Step-by-step explanation:
Values on a stem and leaf plot can be obtained by using the key :
Stem | leaf
With each value in the stem representing the first digit and the value in the leaf denoting the second digit.
The highest stem value here is 4 and the highest leaf value is 7.
Hence, the highest number of broken crayon is 47.
Which is correct (only one answer)
A -No, because a honors student is less likely to have a public library card than a non-honors student.
B-No, because a non-honors student is less likely to have a public library card than an honors student
C- Yes, because a non-honors student is more likely to have a public library card than an honors student
D- Yes, because a honors is more likely to have a public library card than a non-honors student
36% of £240 add working out pleasee
Answer:
36% of 240
=36/100*240
=6640/100
=86.4
Step-by-step explanation:
Answer:
£86.40
Step-by-step explanation:
36% = [tex]\frac{36}{100}[/tex] = 0.36 , then
0.36 × £240 = £86.40
Properties of Triangles (Math please help meee its worth 100 points in my grade)
The equation y= ax describes the graph of a line. If the value of a is negative,
the line:
A. goes down and to the left.
B. is vertical.
C. goes up and to the left.
D. is horizontal.
Answer:
Goes up and to the left
Step-by-step explanation:
If the value of a is negative, the line is going down and to the left.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
where -
{m} is the slope of the line.
{c} is the {y} - intercept.
Given is that the equation {y} = ax describes the graph of a line.
It is asked to find that if the value of {a} is negative, then what would be the orientation of the line.
The general equation of a straight line is -
y = mx + c
Here {m} denotes the unit rate. Unit rate is the rate at which the value of {y} changes per unit change in the value of {x}. So, we can write that the orientation of the line is going down and to the left.
Therefore, if the value of a is negative, the line is going down and to the left.
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I NEED THIS ANSWER After simplifying, which expressions are equivalent? Select three options.
(3.4a – 1.7b) + (2.5a – 3.9b)
(2.5a + 1.6b) + (3.4a + 4b)
(–3.9b + a) + (–1.7b + 4.9a)
–0.4b + (6b – 5.9a)
5.9a – 5.6b
Answer:
1, 3, 5 are correct
Step-by-step explanation:
1. (3.4a – 1.7b) + (2.5a – 3.9b) = 5.9a - 5.6b
2. (2.5a + 1.6b) + (3.4a + 4b) = 5.9a + 5.6b
3. (–3.9b + a) + (–1.7b + 4.9a) = 5.9a - 5.6b
4. –0.4b + (6b – 5.9a) = 5.9b - 5.6a
5. 5.9a – 5.6b = 5.9a – 5.6b
Which of these is the cross section if the slice is made perpendicular to the base?
A. square
B. triangle
C. rectangle
D. rhombus
***(NO LINKS AND ANSWER SERIOUSLY)***
Hi there!
[tex]\large\boxed{\text{ C. Rectangle}}[/tex]
If cross sections were made perpendicular to the base, they would assume the shape of the lateral sides.
Thus, the cross sections would be rectangles. The correction answer is C.
what is 2/3 - 1/3 I appreciate all answers!! (btw i dont wanna do all the math right now so i know how to do it i am just not in the mood of doing it rn.)
Answer:
1/3
Step-by-step explanation:
2/3-1/3=1/3
#Carry on Learning
[tex]0.333[/tex] ✅
Step-by-step explanation:
[tex] \frac{2}{3} - \frac{1}{3} \\ = \frac{2 - 1}{3} \\ = \frac{1}{3} \\ = 0.333[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning}}{\orange{.}}}}}[/tex]
Reduce the following fraction to simplest terms 24/3 12/3
A: 1/8
B:1/2
C: 4
D: 16
I got 16
Answer:
The simplest form of the fraction 24/3 is:
8/1 and the simplest form of the fraction 12/3 is:
4/1
Step-by-step explanation:
Hope this helps!
The average length of the head and body of a mouse is 2.9" the average length of the tail is 2.8" find the total actual length of the mouse
Answer:
5.7
Step-by-step explanation:
Actual length of the mouse = average length of the head and body of a mouse + average length of the tail
2.9 + 2.8 = 5.7
-4x+2=-13 solve for x
Answer:
x = 3.75
Step-by-step explanation:
-4x + 2 = -13
-4x = -13 - 2
-4x = -15
x = 3.75
Answer:
-13
Step-by-step explanation:
just think about it
A committee of 3 men and 4 women , is to be formed from 5 men and 7 women . How many different committees can be formed if :
A. a particular man must be on the seat
B .two particular must not be on the committee
C. There are no restrictions.
Topic : Permutation and combination
Answer:
Part AA particular man on the seat, then 2 men are out of 4:
4C2 = 4!/(4-2)!2! = 4*3*2/2*2 = 64 women out of 7:
7C4 = 7!/(7-4)!4! = 7*6*5*4!/3!4! = 35Total combinations:
6*35 = 210Part BOption 1. 2 men excluded
3 men out of 3 and 4 women out of 7
Total ways:
7C4 = 35 (as above)Option 2. 2 women are excluded
3 men out of 5 and 4 women out of 5
5C3*5C4 = 5!/3!(5-3)! * 5!/4!(5-4)! = 5*4/2 * 5/1 = 10Option 3. 1 man and 1 woman excluded
3 out of 4 men and 5 out of 6 women:
4C3*6C5 = 4!/3!(4-3)! * 6!/5!(6-5)! = 4*6 = 24 Part CNo restrictions, so the number of ways:
3C5 * 7C4 = 5!/3!(5-3)! * 35 = 4*5/2 * 35 = 10*35 = 350What is the fifth term in the geometric sequence?
1, 2, 4, 8, ...
12
16
32
64
Answer:
16.
Step-by-step explanation:
nth term = a1r^(n-1)
Here a1 = 1, n = 5 and r = 2/1 = 2.
5th term = 1 * (2)^(5-1)
= 1*2^4
= 16.
write three rational numbers between 1. -1 and 1 2. -4 and-3
Answer:
1. -1/2 1/2 1/4
2. -3.5 -3.6 -3.7
3. -1/10 -1/11 -1/12
hope this helps
have a good day :)
Step-by-step explanation:
A billboard is 6 meters long . One centimeter is approximately 0 .39 inch . About how long is the billboard in inches? Round to the nearest whole inch. In.
Answer: 234 inches
Step-by-step explanation:
The billboard is 6 meters long and we are given the conversion factor for centimeters to inches.
To convert the length to inches therefore, convert the length from meters to centimeters first:
1 meter = 100 cm
6 meters would therefore be:
= 6 * 100
= 600 cm
1 cm = 0.39 inches so 600 cm is:
= 600 * 0.39
= 234 inches
HELP ME PLZ IM CRYING predict the number of catfish kathy will catch next week if she catches 54 fish
6 carp
8 bass
7 catfish
Answer:
18
Step-by-step explanation:
Take a breath :) . I've got your back.
If she caught 6 carp + 8 bass + 7 catfish, she caught 6 +8 +7 fish total = 21.
7 of 21 were catfish.
If she catches 54 fish instead of 21, (and we have to assume the ratio stays the same), how many will be catfish?
Ratios are 7:21 and x:54, but we'll write them as fractions:
7/21 = x/54
Then cross multiply:
21x = (54)(7)
21x = 378
divide both sides by 21
x = 18
If she catches 54 fish total, we predict she will catch 18 catfish.
---------------------------------------------
If we go back to the original 7/21, we can reduce that to 1/3. Then ask what is 1/3 of 54? 18.
Isis works at a restaurant. Today, it takes him 16 minutes to fold 40 napkins. He plans to fold napkins for 30 minutes tomorrow. If he works at the same rate, how many napkins will he fold tomorrow?
Which name could be used to describe this group of solid shapes?
Answer: shapes with at least 1 circular face
Step-by-step explanation:
The major types of solid shapes are: cubes, cuboids, prisms, pyramids, platonic solids, torus, cone, cylinder, and sphere.
D Shape with at lease 1 face
HOPE THIS HELPS
Can someone help me? Fast!
Answer:
1/3 n - 3 > 6; n = 9
Step-by-step explanation:
1/3(9) - 3 > 6
3 - 3 > 6
0 > 6
What is the volume of a hollow ball whose other radius is 200m and inner radius of
100m.
What is the mass if it is iron*
Answer:
The volume of the hollow ball will be equal to the difference between the volume of a sphere with the outer radius and the volume of a sphere with the inner radius.
Remember that the volume of a sphere of radius R is given by:
V = (4/3)*pi*R^3
where pi = 3.14
Then if R is the outer radius, and r is the inner radius, the volume of the hollow ball is:
V = (4/3)*pi*( R^3 - r^3)
In this case, we have:
R = 200m
r = 100m
Then the volume of the hollow ball is:
V = (4/3)*3.14*( (200m)^3 - (100m)^3)
V = 29,306,666.67 m^3
Now, if this hollow ball is made of iron, we want to find the mass.
Remember the relation:
Mass = Density*Volume.
We know that the density of the iron is:
D = 7300 kg/m^3
Then the mass of this hollow ball is:
M = (7300 kg/m^3)*(29,306,666.67 m^3) = 213,938,666,666.6 kg
There 10 race. Medals are awarded for , 2nd and 3rd place. how many different ways can the medals be awarded?
Answer:
20 ways
Step-by-step explanation:
Because You can get a 2nd place and 3rd place medal so thats 2 ways but there are 10 races so times 10 is 20 :)))))
Answer in simplest from
Answer:
5 4/5
Step-by-step explanation:
Answer:
6 1/10
Step-by-step explanation:
Add 4 1/2 and 1 3/5. To add that, you need to multiply the denominators and the numerators, in this case that equals 10. So then add the fractions first 5/10+ 6/10=11/10. Since that is an improper fraction, add +1 to the hole numbers, so you answer would be 6 1/10
WILL GIVE BRAINLIEST!
Ms. Sally is ordering sets of place-value blocks for the 3rd, 4th, 5th graders. She want one set for each student, and there are 6 sets of blocks in a carton. How many cartons should Ms. Sally order?
3rd grade - 48 students
4th - 43 students
5th - 46 students
6th - 50 students
Answer:
32 cartons
Step-by-step explanation:
Total sets needed
48 + 43 + 46 + 50 = 187
Cartons needed
187 / 6 = 31 1/6
need 32 cartons
Answer:
32 cartons
Step-by-step explanation:
add up all of the students = 187
divide by 6 = 187/6 = 31.16
round = 32 cartons
What is the length of the hypotenuse?
Answer:
Step-by-step explanation:
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
[tex]\sqrt{25[/tex]=c
5=c
Answer:
5 miles
Step-by-step explanation:
as we know, c^2 = 4^2 + 3^2
c^2 = 25 miles
c = 5miles
Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use
Answer:
x = 10% saline solution = 190 mililiters
y = 60% saline solution = 10 mililiters
Step-by-step explanation:
Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use
Let
x = 10% saline solution
y = 60% saline solution
x + y = 200
x = 200 - y
10% × x + 60% × y = 200 × 12.5 %
Hence:.0.1x + 0.6y = 25
Substituting 200 - y for x
0.1(200 - y) + 0.6y = 25
20 - 0.1y + 0.6y = 25
- 0.1y + 0.6y = 25 - 20
0.5y = 5
y = 5/0.5
y = 10 milliliters
Solving for x
x = 200 - y
x = 200 - 10
x = 190 mililiters
Which angle has its terminal side on the negative x-axis?
Answer:
π radians
Step-by-step explanation:
*view photo*