what is the sum of the infinite series: 1-4+16-64+. . .
Step-by-step explanation:
I think we cannot find the sum because it will continue on so the series is multiply by 4
What is the measure of AngleDEF? Triangle D E F. Angle D is 28 degrees. Angle F is 47 degrees. 25 degrees 75 degrees 90 degrees 105 degrees
hellllpppp
Answer:
105 degrees
Step-by-step explanation:
The sum of the angles on a triangle must always equal 180 degrees. We know that two angles are 28 and 47, so the third angle must be 105.
28 + 47 + x = 180
75 + x = 180
75 - 75 + x = 180 - 75
x = 105
Answer:
105 degrees
Step-by-step explanation:
28+47=75
180-75=105
Find the base of the rectangle,when you know the area. 8+8+?+?=96
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The area if base x height
8 x height = 96
Divide both sides by 8 to find the base size:
96 / 8 = base
base = 12
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Please help with this math question!
Answer:
Step-by-step explanation:
C
1. Solve for x: log7 49 = x
Answer:
2
Step-by-step explanation:
[tex]log_{7}[/tex] 49 = x can be reformatted to [tex]7^{x}[/tex] = 49. Solve for that and x =2.
solve for a side in right triangles
Answer:
AC = 3.06
Step-by-step explanation:
Please help with this question. I don’t get it.
The sales tax for an item was $28.80 and it cost $360 before tax. Find the sales tax rate. Write your answer as a precentage
Answer:
7.4%
Step-by-step explanation:
find percentage of the tax
(total cost=$388.80)
28.80 out of 388.80
=28.80*100/388.8= 7.4%
The manager at gabrielas furniture store is trying to figure out how much to charge for a book shelf that just arrived.The book shelf was bought at a wholesale price of $147.00 and gabrielas furniture store marks up all furniture by 60%
Answer:
235.2
Step-by-step explanation:
147 * 1.60 -> this way is an all in one calculation but to double check you can take 60% of 147 (147 * .60 = x ) and add that value to 147 so... 88.2+147=235.2
Answer:
88.2
Step-by-step explanation:
So all you have to do is this 147 * .60 = 88.2
if r = 7 and s = 10, find R. Round to the nearest 10th
Answer:
R = 35.0
Step-by-step explanation:
We know tan theta = opp/ adj
tan R = r/s
tan R = 7/10
Take the inverse tan of each side
tan ^-1 tan (R) = tan ^-1 (7/10)
R =34.9920202
R = 35.0
Answer:
A. 35º
Step-by-step explanation:
-6(x + 7) = -4x - 2
Choose 1 answer:
No solutions
Exactly one solution
Infinitely many solutions
Answer:
-2x-44
Step-by-step explanation:
-6x-42=-4x-2
Answer:
one
Step-by-step explanation:
-6x -6×7 = -4x-2 :
-6x -42 = -4x -2 : (+4x)
-2x -42 = -2 : (+42)
-2x = 40 (/-2)
x = -20
Professor Plum is standing 10 feet from a streetlamp. The light from the lamp is making his
shadow 8 feet long. He estimates that the angle of elevation from the tip of his shadow to the
top of the streetlamp is 40. About how high is the streetlamp? (6 points)
Answer:
15.10 ft
Step-by-step explanation:
It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.
tan (theta) = opposite side / adjacent side
tan 40 = x / 18
x = 15.10 ft
Read more on Brainly.com -
The mystery number is a three-digit number. Its digits are 3, 6, and
2.
• The 6 has a digit on its left and on its right.
• The 2 is not the last digit.
What is the mystery number?
Answer:
263
Step-by-step explanation:
Let the number = xyz
The 6 has a digit on its left and on its right. It must be the middle number.
y = 6, so the number is x6z.
The 2 is not the last digit. It must be the first digit.
x = 2, so the number is 26z.
The remaining digit — 3 — must be the last digit.
z = 3, and the number is 263.
The mystery number is 263.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Let the three digit number be xyz.
The digits are 3,6,2.
The mystery number can be found as
The 6 has a digit on its left and on its right, so the number becomes [tex]x6z[/tex].The 2 is not the last digit, so the number becomes [tex]26z[/tex]The left number is 3. Thus the number becomes [tex]263[/tex].Hence we can conclude that the mystery number is 263.
Learn more about word problems here
brainly.com/question/20594903
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A box envelopes costs $5.25. The box contains 25 envelopes. How much does each envelope costs?
Answer:21 cents
Step-by-step explanation:5.25 divided by 25 is 21
How far could you drive on 45 gallons of gas?
Answer:
depends on what car you are driving and its gas mileage
Please Please PLease help
Answer:
2/3
Step-by-step explanation:
2nd term = 2/5
5th term = 16/135
Nth term for any series is given by [tex]a r^n-1[/tex]
where a is the forst term
r is the common ratio
for 2nd term
[tex]2nd \ term = ar^n-1 = 2/5\\2nd \ term = ar^2-1 = 2/5\\2nd \ term = ar= 2/5\\[/tex]
for 5th term
[tex]5th \ term = ar^5-1 = 16/135\\\\5th \ term = ar^4 = 16/135\\[/tex]
Since we have to eliminate a and find r .
we can divide 5th term by second term
then we get the following equation
[tex]2nd term/ 5th \ term = ar/ar^4 = (2/5) / (16/135)\\=>1/r^3 = 2*135/5*16 \\=>1/r^3 = 27/8\\=>1/r = \sqrt[3]{27/8} \\=> 1/r = 3/2\\=> r = 2/3[/tex]
\
Thus, common ratio is 2/3.
25 Pts
What type of graph would you use to compare the prices of Felix's books and of Tyler's books? In two or more sentences, explain your choice.
bar graph
line graph
scatter plot
histogram
box-and-whisker plot
Felix's books
Mean 10.21
Median 6
Mode 3
Range 26
Tyler's Books
Mean 77.36
Median 68
Mode 76
Range 92
Answer:
I would use box-and-whisker plots to compare the two sets of prices. The plots will show the ranges, which is the difference least and greatest data points. Also, the medians will divide each set of data into 4 equal groups. Comparing these middle values and range of prices in each group will show how similar the prices are.
Step-by-step explanation:
used this son my test and it was right.
need help with my math checking it over just making sure its right please help it is a lot!
Answer:
14. 14.86 (simple subtraction)
15. 4 dollars (156/39 = 4)
18. 49 (36,39,44,48,50,50,54,55 so mean of 48 and 50 is 49)
19.14 (3.5/0.25)
20. A(understanding question contex)
25. 3a + 3b or C (add all the a's and b's together)
26. 5 (Divide apples by 3)
28.C(multiply all the sides together)
29. A (12/7 is fraction form of 12 : 7)
30. C (rate is 20 so 6 * 20 = 120)
31. D
Hoped this helped, this took a while to do :)
Which of the following is equivalent to 7-2(x+2)<-4-3(1 - x)?
Answer:
2 < x
Step-by-step explanation:
7-2(x+2)<-4-3(1 - x)
Distribute
7 - 2x-4 < -4 -3 +3x
Combine like terms
3 -2x < -7 +3x
Add 2x to each side
3-2x +2x< -7+3x+2x
3< -7+5x
Add 7 to each side
3+7 <-7+7+5x
10 <5x
Divide each side by 5
10/5 <5x/5
2 < x
The polynomial 2x3 - 5x2 + 4x - 10 is split into two groups, 2x + 4x and -5x? - 10. The GCFs of each group is then
factored out
What is the common binomial factor between the two groups after their GCFs have been factored out?
2x + 5
0 2X-5
O x-2
0x + 2
Save and Exit
Nex
Subuni
Answer:
2x - 5
Step-by-step explanation:
2x^3 + 4x = 2x(x^2 + 2)
-5x^2 - 10 = -5(x^2 + 2)
so the factors are (2x - 5)(x^2 + 2).
A cellphone company collected data about students' texting skills. They collected the texting speed in words per minute according to time in minutes.Identify the data's independent and dependent variables.
The independent variable is ______.
The dependent variable is _______.
Answer:
independent is the time. time does change throughout the experiment.
Dependent is texting speed as it can vary.
hope this helps :)
what is the slop of the line represented by y= 5x - 7
Answer:
The slope is
m =5
The y-intercept is
b =-7 or (0,7)
Step-by-step explanation:
estimate the radius of the Big Ben clock face in London to the nearest meter.Using C=44m
Answer:
7 meters
Step-by-step explanation:
Circumference is equal to pi times diameter. If you divide both sides of the equation by pi you get diameter of the Big Ben clock. If you divide diameter by 2 you get radius.
What is the volume of this rectangular prism?
Answer:
[tex]\frac{64}{27} cm^3[/tex]
Step-by-step explanation:
V = L*W*H
V= (4/3)*(4/3)*(4/3)
Volume = [tex]\frac{64}{27} cm^3[/tex]
Doreen uses 13 apples for every two pies she bakes. How many apples will she use for 12 pies?
13/2 = ?/12
Answer:
78 apples for 12 pies
Step-by-step explanation:
we use 13 apples for 2 pies
she makes 12 pies
6x2 = 12 pies
so we do 13x6
13x6=78
78 apples for 12 pies :)
can i get brainliest
Answer:
13/2 = 6.5
12 x 6.5 = 78
? = 78
13/2 = 78/12
Step-by-step explanation:
13 apples ÷ 2 pies = 6.5 apples per pie
12 pies x 6.5 apples per pie = 78 apples for 12 pies
? = 78 apples for 12 pies
13/2 = 78/12
. A don Alvaro le encargaron construir un depósito de agua de 729 m3 ¿Cuánto debe medir la arista del depósito?
Answer:
a = 9m
Step-by-step explanation:
You can take the volume of the water tank as the volume of a cube.
The volume of a cube with side a is given by:
V=a*a*a = a^3
To find the value of a you do a the subject of the formula:
a=(V)^{1/3}
You replace and obtain for a:
a = (729m^3)^{1/3} = 9m
hence, the rim a of the water tank is 9m
Answer: The side of the tank is 9 m.
Step-by-step explanation: A water tank is normally a cube, which means length, width and height has the same measure.
To calculate Volume of a cube:
V = length*width*height
Knowing that volume is 729 and assuming sides are x:
x*x*x = 729
x³ = 729
x = [tex]\sqrt[3]{729}[/tex]
x = 9
The volume is in cubic meters, so sides of the tank measures 9 m.
The values of negative and positive exponents come get the points !!!!!!!!!!!!!!!!!!! plz help me
Step-by-step explanation:
In order going from top to bottom, we have 1/1000 (or 0.001), 1/100 (or 0.01), 1/10 (or 0.1), 10, 100, 1,000 , 10,000, and 100,000. Hope this helps!
which is the graph of f(x) = x^2 -2x+ 3
Step-by-step explanation:
there is the graph
HELPP!!! 18 POINTS
Thirty-five percent of what number is 10.5?
A. 18
B. 3.675
C. 48
D. 30
Answer:
30
Step-by-step explanation:
divide 10.5by 35/100
8) Lea and Elisa each improved their yards by planting hostas and geraniums. They
bought their supplies from the same store. Lea spent $69 on 11 hostas and 7
geraniums, Elisa spent $64 on 10 hostas and 7 geraniums. What is the cost of one
hosta and the cost of one geranium?
Answer:
hosta = $5 each
geranium = $2 each
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
Leas's cost: 11 h + 7 g = 69
Elisa’s cost: 10h + 7g = 64
Where h is the price of one hosta and g is the price of one geranium.
Subtracting Elisa's cost to Leas's cost:
11 h + 7 g = 69
-
10h + 7g = 64
____________
h = $5
Replacing h in one equation:
11 (5) + 7 g = 69
55 +7g =69
7g = 69-55
7g= 14
g= 14/7
g= $2