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.
To learn more about an arithmetic sequence visit:
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HELP ASAP!!!! There is a clip below.
Answer:
0.064 cubic feet
Step-by-step explanation:
The volume of a rectangular prism is the width multiplied by the height multiplied by the length. In this case, all of those dimensions are 2/5, meaning that the volume is:
[tex]\dfrac{2}{5}\times\dfrac{2}{5}\times\dfrac{2}{5}=\dfrac{8}{125}=0.064[/tex]
Hope this helps!
Which ordered pair would form a proportional relationship with the point graphed below?
Answer:
(90,60)
Step-by-step explanation:
if you look closely through the linear graph, the line crosses through (90,60) and not the other given pairs.
proportional relationships are plots that also match in the same graphing format (keep in mind when you have trouble next time)A computer technician charges a flat rate for home visits plus $ 55 per hour. The technician bills $190 for a 2-hour home visit to install a new hard drive. The equation y − 190 = 55(x − 2) gives the total amount y the technician charges for x hours of work.
What is the equation in slope-intercept form?
y = 55x + 190
y = 55x + 80
y = 190x + 55
y = 2x + 55
Answer: y = 55x + 80
Step-by-step explanation:
Answer:
1. y = 55x + 80
2. the flat rate
3. The technician worked 4.5 hours
Step-by-step explanation:
Hope this helps!
I need help due today online school sucks I only need the answer to 6 and 7
Answer:
6. The relationship is they multiply the first box of glasses by the amount of boxes 15glasses = x 3,
30 glasses = x6
45 glasses = x 9
60 glasses = x 12
75 glasses = x15
= 30, 45, 60,75
But in between glass amount 45 +60 they show a midpoint amount of glasses in a box where 45 = 9n then 55 = 11n and stands out as 11 boxes as an offset amount of glasses where 5 are in each box.
7. Robert is incorrect as 25 x 5 = 125 and not 120
as 120 and 125 glasses can be divided to check
125/25 = 5 and could be correct if he wanted spare glasses = 1 spare box.
But when we check 120/25 = 4.8 so this would be too many boxes as he would only need 24 boxes.
24 x 5 = 120 glasses.
Step-by-step explanation:
Jennifer is organising a street party. she needs to make 300 cakes. the recipe consist of : 50g icing, 150g butter, 120g caster sugar, 110g flour, 1 egg, 5h baking powder. this makes 12 cakes. how much of each ingredient will she need? kilograms.
Answer:
1.25 kg of icing sugar
3.75 kg of butter
3 kgs of caster sugar
2.75 kgs flour
25 eggs
125g baking powder
Step-by-step explanation:
300/12 x (weight of ingredient)
Answer:
1.25kg icing
3.75kg butter
3kg caster sugar
2.75kg flour
25 eggs
125g baking powder
Step-by-step explanation:
Above is 6 ingredients that is all part of your answer, but you show 300/12 as your first step in workings , the rest is multiplying by 25 as shown here.
300/12 = 25
25 x 50 = 1250g = 1.25kg
25 x 150 = 3750g = 3.75kg
25 x 120 = 3000g = 3kg
25 x 110 = 2750g = 2.75kg
25 eggs
25 x 5 = 125g
Point (–1, –3) is mapped onto ________ when rotated 180° counterclockwise about the origin. Question 9 options: A) (3, –1) B) (1, –3) C) (–1, 3) D) (1, 3)
Answer:
D (1,3)
Step-by-step explanation:
(x,y) → (-x, -y)
Mapping rule for 180-degree
1. Multiply the x-coordinate by -1
2. Multiply the y-coordinate by -1
3. Simplify
A restaurant has 75% of its tables being used. Which ratio compares the used tables with all the tables in the restaurant? A. 50:100 B. 25:75 C. 25:100 D. 15:20
Answer:
D
Step-by-step explanation:
It would 75:100
We then can simplify that by dividing by 5 so we get
15:20
Answer: 15:20
Step-by-step explanation:
75% tables are used out of 100%
The ratio will be 75:100 = 15:20
Help. I’m thinking this is either b,c,d not sure which one though
Answer:
D
Step-by-step explanation:
A line with slope of 4/5 and y-intercept 1 has the equation y = 4/5x + 1. Since our options are in standard form, let's convert out equation. We get:
5y = 4x + 5
5y - 4x = 5.
Answer:
It's C I THINK but it might be D.
Step-by-step explanation:
What problem can be solved by the equation ? 2.50x-2.00=10.50
Answer:
Joe earns $2.50 for every dog he walks. He also owes $2 to his mom. How many dogs does he need to walk in order for him to get $10.50
Answer:
5.004
Step-by-step explanation:
You have to add 2.00 to the other side of 10.50 and add them both because they are positive and u should get you number 12.50 and brin down 2.50 and divide and u should get ur answer.
SIMPLE HELP HELP HELP PLEASE ONLY 1 ANSWER NONE OF THE ABOVE OR ALL IS NOT THE ANSWER SO PLEASE DO IT RIGHT THIS TIME WILL GIVE BRAINLIEST AND 20 POINTS
Answer:
A
The first option is the correct!
They are parallel so they never connect! :)
Photos attached!
Hope this helps! Have a great day! :)
Answer:
y < x+4
y> x+6
Step-by-step explanation:
y =x+6 and y =x+4 are ║ lines because they have the same slope 1; first line is shaded below and the other above so they don't overlap and no solution
If 1/3 of a gallon of paint covers 1/9 of a gate, then how many gallons of paint are needed to cover the entire gate?
Answer:
3 gallons
Step-by-step explanation:
So just multiply by 9.
You get 3.
Answer:
3 gallons
Step-by-step explanation:
divide 1 / 3 by 1/9
=) 1/3 ÷ 1/9
=)1/3 × 9/1
=)9/3
=)3
therefour your answer is 3 gallons
Please Answer it’s simple but today I’m not feeling like myself who can help me? Please
I think the picture is better
Answer:
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
Volume of larger prism÷Volume of cube
that is;
Note:V=LWH
Therefore
[tex](6 \times \frac{5}{6 } \times 1 \times \frac{2}{6} ) \div ( { \frac{1}{6} })^{ 3}
= 1440[/tex]
Hope this answers your question!
Please follow my account.
Cheers!
The parent function is f(x) = 2^x-6 + 3 and the new function is g(x) = 2^x-3 + 2
How does the graph change fromf (x)tog(x)?
Select each correct answer.
The graph is shifted 3 units right.
The graph is shifted 1 unit up.
The graph is shifted 1 unit down.
The graph is shifted 3 units left.
Answer:
Options C and D.
Step-by-step explanation:
The given functions are
[tex]f(x)=2^{x-6}+3[/tex]
[tex]g(x)=2^{x-3}+2[/tex]
We need to find the transformation from f(x) to g(x).
Now, write the function g(x) in the form of f(x).
[tex]g(x)=2^{x+3-3-3}+2+1-1[/tex]
[tex]g(x)=[2^{(x+3)-6}+3]-1[/tex]
[tex]g(x)=f(x+3)-1[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (1) and (2), we get
[tex]a=3>0[/tex], so graph shifts 3 units left.
[tex]b=-1<0[/tex], so graph shifts 1 unit down.
Therefore, the correct options are C and D.
Jerri says that a square is a rhombus because it has 4 equal sides. Brianna says that a square is a parallelogram because it has two pairs of parallel sides. Who is correct? Explain.
Answer:
Both are correct.
Step-by-step explanation:
A square is a rhombus because it has 4 equal sides but it also has two pairs of parallel side which therefore makes it a parallelogram as well.
What is the percent of increase for a population that changed from 25000 to 30000
The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The population changed from 25,000 to 30,000. Then the percentage is calculated as,
P = [(30,000 - 25,000) / 25,000] x 100
P = (5,000 / 25,000) x 100
P = 0.20 x 100
P = 20%
The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.
More about the percentage link is given below.
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Solve for the missing value x 3:9=x:81
Answer:
x=27
Step-by-step explanation:
So let's look at the ratio
3:9
x:81
x is proportional to 3 the same way that 81 is to 9
How would we get 9 to 81?
We would multiply by 9
So what is 3*9?
27
A line goes through points (-2, 18) and (4, 3). What is the slope of the line?
A. 12
B. -1.25
C. -2.5
D. -5
Answer:
-2.5
Step-by-step explanation:
The slope can be found by
m = (y2-y1)/(x2-x1)
= (3-18)/(4- -2)
= -15/(4+2)
=-15/6
= -5/2
-2.5
Answer:
C. -2.5
Step-by-step explanation:
Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (-2,18) and (4,3).
[tex]m=\frac{3-18}{4-(-2)}= \frac{-15}{6} =-\frac{15}{6}= -\frac{5}{2}[/tex]
The options are given in decimals.
[tex]-5/2=-2.5[/tex]
Option C is the correct answer.
please help me with this.
Step-by-step explanation:
In a regular hexagon, split the figure into triangles.
Find the area of one triangle.
Multiply this value by six.
Alternatively, the area can be found by calculating one-half of the side length times the apothem.
Hope this helps you.
Identify the parts of the expression. Then write a word expression for the numerical or algebraic expression.
Please Help!!!! Due in 30 minutes!
Answer:
17.3
Step-by-step explanation:
1.5×6+8.3
=9.0+8.3
=17.3
hope it helps
Divide the following quantiles in the given ratio £100 1:3 £80 3:5 £250 2:3:5
Answer:
Step-by-step explanation:
a.
£100
1:3
1+3=4
1/4×£100
=£25
3/4×£100
=£75
b.
£80
3:5
3+5=8
3/8×£80
=£30
5/8×£80
=£50
C.
£250
2:3:5
2+3+5=10
2/10×£250
=£50
3/10×£250
=£75
5/10×£250
=£125
A taxi service charges a flat fee pen $1.25 and $0.75 per mile. If Henry has $14.00 which of the following shows the number of miles he can afford to ride in the taxi?
Answer:
A. M less than or equal to 17
Step-by-step explanation:
will mark bianleast
When figure ABCD is reflected across the dotted line into figure A′B′C′D', which describes the position of B'?
5 units below the dotted line
5 units above the dotted line
3 units below the dotted line
3 units above the dotted line
Answer:
5 units above the dotted line
Step-by-step explanation:
The reason for this is that there is a distance of 5 units between point B and the line so we know that when it is reflected there will be a distance of 5 as well.
Can a triangle be drawn with side lengths of 7.3 meters, 4.6 meters, and 11 meters?
Answer:
Yes
Step-by-step explanation:
A triangle needs to have 2 of its smallest sides(4.6, 7.3) equal to a number greater than the biggest number(11).
4.6 + 7.3 = 11.9
It’s called a Triangle Sum Thereom
An initial population of 895 quail increases at an annual rate of 7%. Write an exponential function to model the quail population.
A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other. Which equation represents x, the side length of the greater square? x2 + (x – 2)2 = 10 x2 + 2x2 = 10 x2 + (x – 2)2 = 100 x2 + 2x2 = 100
Answer: It should be x^2 + (x-2)^2 = 100
Step-by-step explanation: the ^ is used to indicate an exponent when superscript is not available.
The solution to the correct equation will be x = 8. x -2 would be 6
8^2 = 64. 6^2 = 36. 64+36 = 100.
The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]
Calculation of the equation:Since
A group of students is given a 10 by 10 grid to cut into individual unit squares.
So here the equation be like [tex]x^2 + (x-2)^2 = 100[/tex]
Hence, The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]
Learn more about an equation here: https://brainly.com/question/17069398
[tex]( {5b}^{2} + 3b + 4) + ( {6b}^{2} - 5)[/tex]
Answer: 11b^2 + 3b - 1
Step-by-step explanation:
(5b^2 + 3b + 4) + (6b^2 - 5)
5b^2 + 3b + 4 + 6b^2 - 5
11b^2 + 3b -1
If Lebron can run 12 laps in 2 hours, approximately how long will it take him to run 60 laps?
Answer:
10 hours
Step-by-step explanation:
Let's set up a proportion using the following setup.
hours/laps=hours/laps
We know that it takes him 2 hours to run 12 laps. We don't know how long it will take him to run 60 laps, so we can say it takes x hours to run 60 laps.
2 hours/12 laps=x hours/60 laps
2/12=x/60
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 60. The opposite of division is multiplication, so multiply both sides by 60.
60*2/12=x/60*60
60*2/12=x
10=x
It will take Lebron 10 hours to run 60 laps.
While on the golf course last weekend Marc hit into the rough landing the ball behind a tall tree. His best option was to get it high enough to get over the tree and hopefully come down in the fairway for his next shot. So with a mighty swing he hit the ball into the air and was surprised to see the ball hit near the top of a 300 foot tall tower that he had not noticed. The formula for this shot is: h(x)= -16x^2+120 where h is the height of the ball and x is the number of seconds the ball is in the air.
Question 1. How high did Marc actually hit the ball?
Later during that same golf outing, Marc decided to show off by trying to hit the green in one shot. So with his macho swing, he said he hit the green as the ball hung in the air for 15 seconds. The formula for this shot is: h(x)= -16x^2+200x
Question 2. How long did the ball actually hang in the air?
Answer:
120 ft at 0 seconds
Question 2: 12.5 seconds in the air
Step-by-step explanation:
h(x)= -16x^2+120
We want to find the vertex
The vertex is at
h = -b/2a = 0/-32 = 0
The maximum is at 0
h(0) = 0+120 = 120
it occurs at 0 seconds and a height of 120 ft
h(x)= -16x^2+200x
We want to find the zeros of the function
0= -16x^2+200x
Factor out -8x
0 = -8x(2x -25)
Using the zero product property
-8x=0 2x-25 =0
x =0 2x =25
x=25/2
The ball starts on the ground at 0 seconds and lands at 12.5 seconds
Twice a certain number is tripled. The resulting number is _____. 2x + 3 2x - 3 (2x)3 (2x)
Answer:
(2x)3
Step-by-step explanation:
Twice a certain number is tripled. Use x as the unknown number and double it.
2x
Now triple the whole answer
(2x)3
Answer:
[tex](2x)3[/tex]
Step-by-step explanation:
Let's say [tex]x[/tex] is the number.
Our answer would be:
[tex]2x*3[/tex] or [tex](2x)3[/tex]
You can assign [tex]x[/tex] a value and it will get you double the number, then triple of that number.
Sorry if it seems like I'm copying the other person.
Which correctly describes a cross section of the cube below? Check all that apply.
A cross section parallel to the base is a square measuring 4 cm by 4 cm.
A cross section parallel to the base is a rectangle measuring 4 cm by greater than 4 cm.
A cross section perpendicular to the base through the midpoints of opposite sides is a rectangle measuring 2 cm by 4 cm.
Answer:
check the first one only
Step-by-step explanation:
in a cube, no matter which side it is, there will never be a rectangle, it will all be squares
not exactly good at drawing but I drew out what the description looks like and hope you can somehow understand it better!
