Answer:
7
Step-by-step explanation:
The sum of first 48 terms of the given series is 4848.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form sum of n terms of arithmetic sequence is Sₙ=n/2[2a+(n-1)d].
The given arithmetic sequence is 7,11,15,......
Here, a=7, d=11-7=4 and n=48
Now, S₄₈=48/2[2×7+(48-1)×4]
= 24(14+47×4)
= 24(14+188)
= 24×202
= 4848
Therefore, the sum of first 48 terms of the given series is 4848.
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A golfer exerts a force of 15.0 N on a golf ball that has a mass of 0.42 kg. What is the golf
ball's acceleration?
Answer:
35.71m/s²
Step-by-step explanation:
using the formula force(F)=mass(m)×acceleration(a)
a =
[tex] \frac{f}{m} [/tex]
F=15.0N
m=0.42kg
a=?
a=15÷0.42
a=35.71m/s²
Answer:
C
Step-by-step explanation:
Ann increased the quantities of all the ingredients in a recipe by 60% She used 80 grams (g) of cheese How much cheese did the recipe require?
Answer:g = 50 g
Step-by-step explanation:
She used 60% more than required ⇒ she used (1+0.60)=1.60 times what was required.
x = grams required by the recipe
80 g = 1.60x
x = (80/1.60) g = 50 g
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
uquzas prguntale ea otroi
What are the solutions to the system of equations?
x² + y² = 5
y= 2x
Answer:
(x1, Y1) = ('1, '2) (x2, Y2) = (1,2)
Step-by-step explanation:
find the slope of the line that passses thruogh 1,5 and 10,9
Answer: The slope is 4/9 or -4/-9.
Step-by-step explanation:
(1,5)
(10,9) Find the difference in the y values and divide it by the difference in the x values.
5-9= -4
1- 10= -9
-4/-9= 4/9
so the slope is 4/9
Using the slope we could also find the y-intercept and write the equation.
5=4/9 (1) + b where b is the y-intercept
5= 4/9 + b
-4/9 -4/9
b= 41/9
Now we will have the equation y= 4/9 + 41/9
The area of a triangle is 17.5 square meters. The height of the triangle is 3 meters less than twice its base. The base of the triangle is x meters. Complete the equation that represents this description and fill in the values for the base and height of the triangle. The equation modeling the described triangle is x2 + x + = 0. The base of the triangle is meters. The height of the triangle is meters.
Answer:
A = ½ * base * height
A = ½ * x * (2x-3)
17.5 = ½ * (2x² - 3x)
35 = 2x² - 3x
0 = 2x² - 3x - 35
2x² - 3x - 35 = 0 .......... (the equation)
(2x + 7)(x - 5) = 0
2x + 7 = 0
2x = - 7
x = -7/2 = -3.5
x-5 = 0
x = 5
since we have two result of x, then we can choose the positive one x = 5
so the base is 5 m and the height is
h = (2x - 3) = 2*5 - 3 = 10-3 = 7 m
There are 42 technicians to repair 6 Aircrafts. The ratio of Aircrafts to technicians is…
Answer:
6:42 or 1:7 simplified.
Step-by-step explanation:
Travis has the following problem for homework:
82 - 16 x 4 + 18+ [(36/6) - 2]
His neighbor, Ted, says "just solve it working left to
right." Ted gets an answer of 51.
What is the correct answer? (Hint: Ted doesn't know
PEMDAS).
Answer:
The correct answer is -4
Step-by-step explanation:
First you have to solve what is in the parenthesis. So do 36/6 which is 6 and then subtract 2 to get 4. Then you have to do the multiplication so 16 x 4 and you get 64. then you can go left to right. 82-64+18+4 and when you do that you get -4
A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left with him?
Answer:
[tex]\frac{7}{40}[/tex]
Step-by-step explanation:
[tex]1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})[/tex]
[tex]1-\frac{33}{40}[/tex]
[tex]\frac{7}{40}=0.175[/tex]
Answer:
7/40 is still left with him.
Step-by-step explanation:
LCM 5,10,8 = 40
2/5 = (x8) = 16/40 = food
3/10 = (x4) = 12/40 = rent
1/8 = (x5) = 5/40 = other expenses.
16/40 +12/40 + 5/40 = 33/40
40/40 - 33/40 = 7/40
947/7 it is hard because it is confused
Answer:
135.2857142857143
Step-by-step explanation:
its right?
Answer:
7 x 1 = 1
9-7=2
7 x 3 = 21
24-21=3
7 x 5 = 35
37-35=2
135 remainder 2
Step-by-step explanation:
Which would be used to solve this equation? Check all that apply.
p/3=12
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
Answer: multiplying both-side of the equation by 3 substituting 36 for p to check the solution
Step-by-step explanation: Help I help
A picture was marked at $90.00. It was sold at 3/4 of its marked price. What was the sale price?
Answer: $67.50
Step-by-step explanation:
Marked price = $90
It is sold at 3/4 of marked price
3/4 of 90
3*4 x 90 = 135/2
= 67.50 = sale price
Simplify: 6-/18 - 3.450
Answer:
-3.11666666667
Step-by-step explanation:
remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
combine the constants. hope this helps you :)
The function ƒ(x) = 4x + 1 is transformed to g(x) = 2x + 1. What type of transformation has occurred? A) Reflection and Vertical Translation B) Rotation C) Reflection D) Rotation and Vertical Translation
Answer:
B) Rotation
Step-by-step explanation:
The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.
Answer:
Rotation
Step-by-step explanation:
can someone help with this?
Answer:
Figure 1
The coordination of D is (a,0) and E is (b,c)
figure 2
The coordination of D is (0,b) and E is (a,0)
6. What is a reasonable temperature to cook a chicken?
a) 100°F b) 200°F c) 300°F d) 400°F
Answer:
200°F
Step-by-step explanation:
165 degrees Fahrenheit is the safe internal temperature for both the white meat and dark meat.
Answer:
The answer might be B. I hope this helps please tell me if right or wrong.
Step-by-step explanation:
Help please if you answer you get 25 points
Answer:
8.9
Step-by-step explanation:
Use Pemdas or Bedmas ( Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
First add 4.5 and 7.6, you get 12.1
Now do the division, 8/2.5 = 3.2
Lastly you subtract, 12.1-3.2 = 8.9
I need help on this 10j< – 10
Answer:
j<-1
Step-by-step explanation:
10j<-10
divide both sides by 10 and get
j<-1
Answer:
[tex]j < - 1[/tex]
Step-by-step explanation:
[tex]10j < - 10 \\ \frac{10j}{10} < \frac{ - 10}{10} \\ = j < - 1[/tex]
hope this helps
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What would be the cost for 5 of the gift cards?
Answer:100 is the answer
Step-by-step explanation: your going up 20 every dot my G
Answer:
$100
Step-by-step explanation:
A sprinter travels a distance of 300 m in a time of 28.22 seconds. What is the sprinter's average speed rounded to 4 sf?
Answer:
[tex]10.6 \: m/s[/tex]
Step-by-step explanation:
Average speed = distance covered divided by the time taken.
[tex]S=\frac{d}{t}[/tex]
[tex]\frac{300}{28.22}[/tex]
[tex]=10.63075[/tex]
Answer:
10.63m/s
Step-by-step explanation:
distance traveled=s=300m
time taken=t=28.22s
average speed=v=?
average speed=[tex]\frac{distance covered}{time taken}[/tex]
average speed=[tex]\frac{300m}{28.22s}[/tex]
average speed=10.63075m/s
now in the question it is said that round to 4 significant figures so will write only first four digits
average speed=10.63m/s
Asha found that a vertical line intersects the graph of x = StartAbsoluteValue y EndAbsoluteValue at two points. What can Asha conclude about x = StartAbsoluteValue y EndAbsoluteValue?
A. It is a function of x but not a relation.
B. It is a relation but not a function of x.
C. It is both a function of x and a relation.
D. It is neither a function of x nor a relation.
Answer:
B. It is a relation but not a function of x.
Step-by-step explanation:
I just took the quiz on edge
Answer:
B. It is a relation but not a function of x
Step-by-step explanation:
If y varies inversely as x2 and y = 3 when x = 2, find the equation that connects x and y.
============================================================
Explanation:
"y varies inversely as x^2" means y = k/(x^2) for some constant k.
Plug in (x,y) = (2,3) and solve for k
y = k/(x^2)
3 = k/(2^2)
3 = k/4
3*4 = k
12 = k
k = 12
The original equation updates to y = 12/(x^2)
As a check, plugging in x = 2 should lead to y = 3
y = 12/(x^2)
y = 12/(2^2)
y = 12/4
y = 3 ... we get the proper y value, so the answer is confirmed.
The equation that connects x and y, is, y = 12/(x^2).
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
"y varies inversely as x^2" means y = k/(x^2) for some constant k.
Plug in (x,y) = (2,3) and solve for k
y = k/(x^2)
3 = k/(2^2)
3 = k/4
3*4 = k
12 = k
k = 12
The original equation updates to y = 12/(x^2)
As a check, plugging in x = 2 should lead to y = 3
y = 12/(x^2)
y = 12/(2^2)
y = 12/4
y = 3 ... we get the proper y value,
Hence, The equation that connects x and y, is, y = 12/(x^2).
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the triple of the area of a square is 1587 m2 What is the side of the square?
Answer:
23 m
Step-by-step explanation:
Given that triple the area = 1587 m² , then
area = 1587 ÷ 3 = 529 m²
The area of a square = s² ( s is the measure of the side ), thus
s² = 529 ( take the square root of both sides )
s = [tex]\sqrt{529}[/tex] = 23 m
John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks. If John pays for 12 weeks of guitar classes from his account, his account balance will be $.
Answer:
-47.45$
Step-by-step explanation:
B=132.55-15x
B=132.55-15*12
B=132.55-180
B=-47.45
What is the explicit formula for the sequence?
7, 2, –3, –8, –13, . . .
===========================================================
Explanation:
[tex]a_1 = 7[/tex] is the first term
[tex]d = -5[/tex] is the common difference, telling us to add -5 to each term to get the next term. This is the same as subtracting 5 from each term
The nth term of the arithmetic sequence is,
[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + (-5)(n-1)\\\\a_n = 7-5(n-1)\\\\a_n = 7-5n+5\\\\a_n = -5n+12\\\\[/tex]
----------------
As a check, let's plug in n = 4 and we should get -8 as our fourth term
[tex]a_n = -5n+12\\\\a_4 = -5(4)+12\\\\a_4 = -20+12\\\\a_4 = -8\\\\[/tex]
so that confirms that portion of the sequence. I'll let you check the other values.
Find the area of the following shapes:
Answer:
24 square units
Step-by-step explanation:
You apply area of a trapezium
Which of the following is a random sample?
Answer:
A.
Step-by-step explanation:
A. City voters were asked about candidates. That seems to be random.
B. A survey about singers took place at a specific concert. Naturally, the people who are there like this singer. It is not random.
C. Customers were asked about food at a pizza shop. Naturally, they like pizza. This is not random.
D. An email survey was sent. Mostly people who own computers will respond. This is not random.
Answer: A.
Solve 7x - 1 = 20 help
Find the slope-intercept form of an equation of the line perpendicular to the graph of x – 3y = 5 and passing through (0, 6).
Question 11 options:
a)
y = 13x − 2
b)
y = 3x – 6
c)
y = 13x + 2
d)
y = –3x + 6
Answer:
work pictured and shown
Having a hard time on these 2
Answer:
3. A = 363.3 mm²
4. A= A = 1122.4 yd²
Step-by-step explanation:
pretty sure these are correct
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