Answer:
The first three terms are: 25, 125 and 625
Step-by-step explanation:
Given
[tex]a =25; r = 5[/tex]
Required
The first three terms
The nth term of a geometry progression is:
[tex]T_n =ar^{n-1[/tex]
So, we have:
First term: [tex]n = 1[/tex]
[tex]T_n =ar^{n-1[/tex]
[tex]T_1 =25 * 5^{1-1[/tex]
[tex]T_1 =25 * 5^0[/tex]
[tex]T_1 =25 * 1[/tex]
[tex]T_1 =25[/tex]
Second term: [tex]n = 2[/tex]
[tex]T_n =ar^{n-1[/tex]
[tex]T_2 =25 * 5^{2-1[/tex]
[tex]T_2 =25 * 5^{1[/tex]
[tex]T_2 =25 * 5[/tex]
[tex]T_2 =125[/tex]
Third term: [tex]n = 3[/tex]
[tex]T_n =ar^{n-1[/tex]
[tex]T_3 =25 * 5^{3-1[/tex]
[tex]T_3 =25 * 5^{2[/tex]
[tex]T_3 =25 * 25[/tex]
[tex]T_3 =625[/tex]
Answer: 25,125,625
Step-by-step explanation:
edg 2
Ms. Thomas has a class of 16 students. She can spend 24 on each student to buy math supplies for the year. She first buys all of her students calculators, which costs a total of 79.04 . After buying the calculators, how much does she have left to spend on each student?
Answer: 19.06
Step-by-step explanation:
17/3 divided by 2/3 help please!:))
Answer:
0.94444444444
Which one is greater?
1.74 × 0.84
OR
1.79 × 0.69
- NO LINKS DOCS OR FILES ETC
Answer:
1.75 * 0.84
Step-by-step explanation:
1.74 * 0.84 = 1.4616
1.79 * 0.69 = 1.2351
Answer:
1.74 x 0.84 is greater
Step-by-step explanation:
1.74 x 0.84 = 1.4616
while
1.79 x 0.69 = 1.23509
3
) A basket filled with tomatoes had a mass of 2330 g. After 3/5 the tomatoes were
taken away, the mass of the basket with the remaining tomatoes was 1550 g
What was the mass of the empty basket?
Answer: 1030 g
Step-by-step explanation:
Given
Mass of basket and the tomatoes is 2330 g
After [tex]\frac{3}{5}[/tex] of tomatoes were taken away, the mass with the basket is 1550 g
Suppose x is the mass of tomatoes and y is the mass of the basket
[tex]\therefore x+y=2330\quad \ldots(i)\\\\y+(1-\dfrac{3}{5})x=1550\\\\y+\dfrac{2}{5}x=1550\quad \ldots(ii)[/tex]
Solve the above equations. We get
[tex]x=1300,y=1030[/tex]
So, the mass of the empty basket is 1030 g.
Find the equation below. NO BOTS!!!
Put the following equation in slope-intercept form: y−5=7/4(x-1)
Answer:
y=7/4x+2
Step-by-step explanation:
The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y − 5 = 7/4(x − 1)
Convert the equation into a slope-intercept form. Then we have
y − 5 = 7/4(x − 1)
y − 5 = (7/4)x − (7/4)
y = (7/4)x − (7/4) + 5
y = (7/4)x + 13/4
The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
A biker traveled 20 miles in 4 hours. A unit rate to describe this would be 5 miles per hour. What is another unit rate in this situation?
1. 1/5 mile per hour
2. 1/5 hour per mile
3. 1 mile per hour
4. 5 hours per mile
Answer:
20 miles) / (4 hours) = (20/4) (miles/hours) = 5 miles per hour
(4 hours) / (20 miles) = (4/20) (hours/miles) = 0.2 hours per mile =
12 minutes per mile
Use the following dot plot to answer the questions.
What is the mean of the set?
If an additional dot is added to the set in the 3 column, how will the mean change? What will the new mean be?
Answer:
3.4
Decrease ; 3.375
Step-by-step explanation:
Mean = Σfx / Σf
Σfx = (1 * 2) + (2 * 2) + (3 * 3) + (4 * 9) = 51
Σf = 1 + 2 + 3 + 9 = 15
Mean = 51 / 15 = 3.4
If 1 more dot is added to the 3rd column:
Σfx = (1 * 2) + (2 * 2) + (3 * 4) + (4 * 9) = 54
Σf = 1 + 2 + 4 + 9 = 16
Mean = 54 / 16 = 3.375
Which values are solutions of the inequality 5 < y -8
8 , 9. , 13. , 15. , 20
Answer:
5 is greater than y-8 since 5 is positive it + in the begging +5 while - 8 is less than 0 because it has - in the begging
Answer: 15 and 20
Step-by-step explanation:
just did this
SOLVE
ROUND TO THE NEAREST CENT IF NECESSARY
A UNIÓN CONTRACT CALLS FOR 6.9% SALARY INCREASE
FOR ALL EMPLOYEES
DETERMINE THE INCREASE
FOR A WORKER WHO IS CURRENTLY MAKING $32,120
WILL GIVE
BRAINLIST
X
X
X
X
what is the approximate volume for a ice cream cone with a radius of 3 and a diameter of 14
Answer:
131.95
Step-by-step explanation:
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
[tex]v = \frac{1}{3} \times 3.142 \times {3}^{2} \times 14 \\ v = \frac{1}{3} \times 3.142 \times 9 \times 14 \\ v = 131.964 {cm}^{3} [/tex]
A=(2,3) B=(4,5)
Find vector equation of staraight line parallel to vector B and passing through point A hence obtain cartesian equation
Answer:
[tex]r= a + \lambda \: b \\ vector \: equation : \\ \binom{x}{y} = \binom{2}{3} + \lambda \: \binom{2}{2} \\ cartesian \: equation : \\ \frac{x - 2}{2} = \frac{y - 3}{2} = \lambda[/tex]
what is the approximate volume of the cylinder use 3.14 for π
Answer:
904.32 cm²
Step-by-step explanation:
V = πr²h
V = 3.14 × (6 cm)² × 8 cm
V = 904.32 cm²
The radius of a circle is 6.1 millimeters. What is the circle's area?
[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]
Area of rectangle and trangle
More comeing soo!!
Answer: Triangle 1 = 30 m2
Triangle 2 = 15 cm2
Step-by-step explanation:
Triangle area formula = 1/2 x base x height
Area1 = 1/2 x 10 x 6
= 30
Area2 = 1/2 x 6 x 5
= 15
Answer:
The area of the triangle is 15 cm and rectangle is 30 or 60
Step-by-step explanation:
Carl is balancing his checking account. After comparing the bank statement to his register, he notices an outstanding debit of $58.00.
Which shows the correct amount in Carl’s checking account?
Given the diameter of 12 in, find the sector area of each sector
A. 5.33 in
B. 1.33 in
C. 9.42 in
D. 4.19 in
so the total area is 113.04 and divide that in the total sections is 113.04 by 12 = C 9.42 in
Find the surface area of the cone. Round answer to the nearest tenth.*
Answer:
628.319 rounded= 628.3
Step-by-step
333zzzzzzzzzzzgggggggggggggh
Answer:
pointssss
Step-by-step explanation:
A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents to leak from the tank when 0.02% of the
radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
The tank must remain intact for lears.
(Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as needed.)
Answer:
t = 1180 years
Step-by-step explanation:
We will solve this using the radioactive decay formula which is;
A = A_o × 2^(-t/h)
Where;
A = Amount of liquid remaining after time (t)
A_o = initial amount of liquid at initial time
t = time of decay
h = half-life of the liquid
We have;
A_o = 1(we assume it is 100% which is 1)
A = 0.02% = 0.0002
h = 96 years
Thus;
0.0002 = 1 × 2^(-t/96)
0.0002 = 2^(-t/96)
(-t/96)log 2 = log 0.0002
(-t/96) = (log 0.0002)/log 2
(-t/96) = -12.2877
t = 96 × 12.2877 (negative has canceled out)
t = 1179.6192
To the nearest year gives;
t = 1180 years
Josie makes peanut butter sandwiches. She uses 1/8 cup of peanut butter on each sandwich. How many cups of peanut butter dose she need for 9 sandwiches?
Answer:
9/8
Step-by-step explanation:
.........................
The Gordon family has a disposable annual income of $44,350. They spend 19% of their disposable income for food. How much do they spend weekly for food (Note: There
are 52 weeks in a year)?
$149.43
$158.77
$162.05
$165.23
None of these choices are correct.
Answer:
$162.05
Step-by-step explanation:
Calculation to determine How much do they spend weekly for food
Using this formula
Amount spent weekly=(Annual Disposable income*Disposable income percentage)/Numbers of weeks in a year
Let plug in the formula
Amount spent weekly=($44,350*19%)/52 weeks
Amount spent weekly=$8,426.5/52 weeks
Amount spent weekly=$162.048
Amount spent weekly=$162.05 (Approximately)
Therefore the amount they spent weekly for food is $162.05
The graph of - 8x+2y = 8 passes through two points, P(p, 2) and
Q (-4, q). What is the value of pq?
Answer:
6
Step-by-step explanation:
All the steps are in the photo I attached
Find the absolute value
|-7|
Answer:
7
Step-by-step explanation:
hello :
|-7| = - (-7) = 7
Answer:
the absolute value of l-7l is 7
hope it helps.
How many degrees Fahrenheit is -20°C?
answer:
-4°f
step-by-step explanation:
(-20°c × 9/5) + 32
= -4°f
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
What is the volume of an 8-inch by 4-inch by 44-inch rectangular box?
Answer:
1408
Step-by-step explanation:
Answer:
1,408 cm³.
Step-by-step explanation:
To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.
[tex]4*8*44=1,408 in^3.[/tex]
Therefore, the volume of the rectangular box is 1,408 cm³.
PLEASE HELPPPPPP :(((((
Find the perimeter X(-2,1) Y(4,3) Z(5,-1)
Answer:
17.728
Step-by-step explanation:
NEED 22-24 AND 31-33 FAST
Answer:
22-24= -2
31-33= -2
Step-by-step explanation:
Answer this simple quick question!! Pls :)
Answer:
Zero, Never
Step-by-step explanation:
2 doesn’t equal 3 so it will never be true.