Answer:
The first six terms of this arithmetic sequence are: 30, 32, 34, 36, 38, 40
Step-by-step explanation:
The nth term of an arithmetic sequence is given by:
[tex]P_n = P_0 + nd[/tex]
In which d is the common difference, that is, each term is increased by d.
d = 2, Po= 30
First term is 30, each consecutive is increased by 2. So
30, 32, 34, 36, 38, 40
16. J.D. opened a savings account with $425. After
2 years, the total interest he earned was $10.20.
What was the annual interest rate?
Answer:
1.2%
Step-by-step explanation:
Solving our equation
r = 10.2 / ( 425 × 2 ) = 0.012
r = 0.012
converting r decimal to a percentage
R = 0.012 * 100 = 1.2%/year
The interest rate required to
accumulate simple interest of $ 10.20
from a principal of $ 425.00
over 2 years is 1.2% per year.
Two sheets of plastic have a combined thickness of 1.08 centimeters. One sheet is 0.675 centimeters thick. What is the thickness of the other sheet? Answer with supporting work:
Answer:
1.08
Step-by-step explanation:
that is super long but easy
which expressions are equivalent to 7(-3/4x-3) select two options
Answer:
= −21/4 x−21
Step-by-step explanation:
what adding and subtracting with unlike denominator is
We can only add and subtract fractions that have the same bottom numbers. If fractions have the same bottom numbers, we can add them by just adding the top numbers and and keeping the original bottom number.
If they don't have the same bottom number, we have to find the least common denominator for those fractions which is simply the least common multiple of the two or how ever many fractions there are.
For example, to add 1/2 and 1/3, we find the least common
denominator, which is 6, and we want to get a 6 in the denominator.
When we have the same denominator, just add
the numerators and keep the original denominator.
If y = 56 when x = 49 find,
y when x = 81
Answer:
step by step explanation
y= 56 x=49
y= 8x
=8*7
=56
then
y= 8x
= 8*9
= 72
x= 9²
= 81
can someone please help me with question number 5 please
What is the angle of elevation from point A to point C?
Answer: b
Step-by-step explanation:
By the alternate interior angles theorem, the angle of elevation and the angle of depression have the same measure.
The measure of angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
It is given that:
The right-angle triangle is shown in the picture.
The right-angle triangle is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
As the two lines are parallel to each other and a transversal is intersect the parallel lines so the angle would be same as 32 degrees
The angle A = 32 degrees
Thus, the measure of the angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ2
Solve the equation:
8x + 6 – 9x = 2 - X + 4
PLEASE HELP
If x = 3x + 4 - 1 , then what does -x equal?
Answer:
-4/5 = x
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
x = 3x + 4 - 1
we can subtract 1 from 4
x = 3x + 3
subtract 3x from both sides
-2x = 3
divide both sides by -2
x = -3/2
so -x would equal -(-3/2) = 3/2
mZGCD = 7x – 3, mZBCG = 100°
and mZBCD = 18x - 2. Find x.
G
D
B
Answer:
x = 9
Step-by-step explanation:
BCD - GCD = BCG
BCG = 100
18x - 2 - (7x - 3) = 100
18x - 2 - 7x + 3 = 100
11x + 1 = 100
11x = 99
x = 9
an aircraft flew 5 hours with the wind. the return trip took 6 hours against the wind. if the speed of the plane in still air is 220 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in still air
As shift manager at a local fast food place, you are responsible for ensuring quality control. You do not want to weigh all the frozen hamburger patties that get delivered by your supplier to make sure they weigh four ounces on average, so you choose 100 patties at random. You calculate that the sample mean weight of patties is 2.6 ounces and the standard deviation of the weight of hamburger patties to be 0.4 ounces.
Required:
a. Test the hypothesis that the population mean weight of patties is equal to 4 ounces.
b. You are particularly concerned about the population weight being under 4 ounces, is there any reason for concern? Explain using the concept of a confidence interval.
Answer:
Kindly check explanation
Step-by-step explanation:
xbar = 2.6
Sample size, n = 100
s = 0.4
Mean, μ = 4
The test statistic :
(xbar - μ) ÷ s/sqrt(n)
(2.6 - 4) ÷ 0.4/sqrt(25)
1.4 ÷ 0.08
= −17.5
Critical tvalue for 95% confidence interval :
df = n - 1 = 25 - 1 = 24
Tcritical at 0.05/2; df
Tcritical = ±2.064
Since, Tstatistic value does not fall within the Tcritical value ±2.064, we reject the Null
Using the p value from Tstatistic calculator :
P value at t = - 17.5 at 0.05 < 0.000001
Since p value is < 0.05, we reject H0.
Which is more, 7 grams or 6,999 milligrams?
Answer:
7 grams
Step-by-step explanation:
cause 1 gram is 1000 milligrams and therefore 7 grams is more than 6,999 nilligrams
T-Shirt Costs 275 Total Cost Number of T-Shirts The cost of t-shirts varies directly with the number of t-shirts. The data is shown in the graph. If x = is number of t-shirts, and y = the cost which equation models of great varlation
Plz help will give brainliest answer
Answer:
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I need help on this please.... It would be highly appreciated!
Answer:
Equation to find area: l*w
Unknown measurement: w = 4,700/94 = 50
Equation to find perimeter: l+l+w+w or l*2+w*2
Perimeter: 288
Hope this helps :)
Which pair of triangles can be proven congruent by SAS?
AA
how to graph y = 3x - 6?
Answer:
you have to start at the zero figure number which would be (-6) and go up 3 but sideways only once each time if that makes scene.
Step-by-step explanation:
Answer:
y
=
3
x
−
6
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
3
y-intercept:
−
6
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
x
y
1
−
3
2
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
3
y-intercept:
−
6
x
y
1
−
3
2
0
Step-by-step explanation:
Hi, I need help asap thx u
There was some chicks in 4 coops. How many chicks were in each coop?
Answer:
There is not enough information to solve.
Step-by-step explanation:
We need to know how many chicks there were in total. Then, divide the total number of chicks by the 4 coops and that will be your answer.
what is the greatest common factor of 75 120 90?
Answer:
15
Step-by-step explanation:
help me please thank you in advance
Answer:
Fourth option) (x-4.5)^2=16.25
Step-by-step explanation:
It's the same
Ana is using a photocopier to make
315 copies of a poster. It takes 3
minutes to print the first 63 posters.
.
If the photocopier continues to print
at the same rate, how many more
minutes will it take to complete the
job?
Answer:
4
Step-by-step explanation:
Can anyone answer this for me please and explain I really don’t understand it I’ll mark you brainliest
Answer:
I really don't know
Can somebody please help me I really wanna go to sleep :(
1024 by 2x10
I hate math
i kinda need your help.. pls help me...
I'm really not good at math pls... answer it or pls explain me how do I do this??? how can I multiply or divide this????? PLS HELP ME
Which set of ordered pairs is made up of points on the graph of the function below?
y = -4x + 8
A. (12,-1), (8,0), (4,1), (0,2)
B. (-1,12), (0,8), (1,4), (2,0)
C. (12,-1), (8,0), (1,4), (2,0)
D. (-1,12), (8,0), (1,4), (0,2)
Answer:
a
Step-by-step explanation:
d
1. What is the value of x, type only a numeric answer.
2x
2x
3x
Answer:
x = 30
Step-by-step explanation:
Given is an irregular pentagon.
The sum of the exterior angles of an irregular polygon equals 360 degrees.
Therefore,
x° + 2x° + 2x° + 4x° + 3x° = 360°
12x° = 360°
12x = 360
x = 360/12
x = 30
PLZ answer this soon!!!!
Answer:
8 -4
Step-by-step explanation:
A national rental car company purchased compact and midsize cars.
The company budgeted $14,000,000 to buy a minimum of 650 cars altogether.
The company did not exceed their budget.
The company paid an average of $13,000 for each compact car and $28,000 for each midsize car.
Which system of inequalities represents all possibilities for the number of compact cars,c, and the number of midsize cars, m, that could have been bought?
{c+m≥65028,000c+13,000m≤14,000,000
{m+c≥65028,000m+13,000c≤14,000,000
{m+c≤65028,000m+13,000c≥14,000,000
{c+m≤65028,000c+13,000m≥14,000,000
Answer:
B
Step-by-step explanation: 100%
Marianne has a scarf that is 5 inches longer than it is wide. if the area of her scarf is 84 square inches. what are the dimensions of her scarf?
Answer:
The dimensions of Marianne scarf = 12 × 7 inches
The length of the scarf =12inches
The width of the scarf = 7 inches
Step-by-step explanation:
Step(i):-
Let 'x' be the width of the scarf
Given that the length of the scarf = x+5
The area of the rectangle = length × width
Given that the area of the rectangle (scarf) = 84 square inches
Step(ii):-
length × width = 84
(x+5) × x = 84
x² + 5x - 84 =0
x² + 12 x - 7 x - 84 =0
x(x+12) -7( x+12) =0
(x-7)(x+12) =0
x -7 =0 and x+12=0
x =7 and x= -12
Step(iii):-
We have to choose x =7
The length of the scarf = x+5 = 7+5 =12inches
The width of the scarf = x = 7 inches