Answer:
Step-by-step explanation:
I chose the first one. To compare the two products and find the better buy, let's find the cost of 1 ounce of cereal in each box. The unit rate for the left box will be $2.15 / 14 = $0.15 per ounce. The unit rate for the right box will be $3.40 / 20 = $0.17 per ounce. Because 0.15 < 0.17, the box on the left is the better buy. Hope this helps!
Answer:
2.15/14=0.153
3.4/20=0.17
Option A. is better because the price is smaller
4.50/3=1.5
5.96/4=1.49
option b is better
2.41/4=0.6025
1.8/2=0.9
option b is better
Step-by-step explanation:
Which are the center and radius of the circle with equation (x + 5)2 + (y − 4)2 = 9?
A. (−5, −4); r = 3
B. (5, −4); r = 9
C. (−5, 4); r = 3
D. (5, 4); r = 9
Answer:
C)
Step-by-step explanation:
*Look at the picture*
I really need help with this
Answer:
A (-4, 1)B (2, 5)Step-by-step explanation:
The current endpoints are ...
V = (-9, 2)
W = (-3, 6)
Put each of these in the translation formula to see where the image points are.
(x, y) ⇒ (x+5, y-1)
(-9, 2) ⇒ (-9+5), 2-1) = (-4, 1) . . . . point V ⇒ V'
(-3, 6) ⇒ (-3+5, 6-1) = (2, 5) . . . . . point W ⇒ W'
The new end points are (-4, 1) and (2, 5), matching choices A and B.
An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation
2000007 350 represents the situation, where t is the number of years the money has been invested. About how long has the
money been invested? Use a calculator and round your answer to the nearest whole number
5 years
7 years
19 years
22 years
Answer:
7 years
Step-by-step explanation:
We expect your equation is ...
200e^(.08t) = 350
Dividing by 200 and taking the natural log, we have ...
0.08t = ln(1.75)
t = ln(1.75)/.08 ≈ 7.0
The money has been invested 7 years.
What’s the correct answer for this?
Answer:
D = 23.4 units
Step-by-step explanation:
In the attached file
Carl earned grades of 62, 78, 59, and 89 on four math tests.
What is the mean of his grades?
A. 68.5
B. 70
C. 72
D. 74
E. 75.5
Answer:
Mean, m = 72
Step-by-step explanation:
It is given that, Carl earned grades of 62, 78, 59, and 89 on four math tests.
It is required to find the mean of his grades.
Mean of a data is given by :
[tex]m=\dfrac{\text{sum of observations}}{\text{total no of observations}}[/tex]
Sum of observations is 62 + 78 + 59 + 89 = 288
Total no of observations are 4
So, mean of his grades is :
[tex]m=\dfrac{288}{4}\\\\m=72[/tex]
So, the mean of his grades is 72.
Option C is correct. If Carl earned grades of 62, 78, 59, and 89 on four math tests, the mean of his grades is 72
Mean is the average of the given data. It is expressed mathematically as:
[tex]\overlibe x=\frac{\sum x}{N}[/tex]
[tex]\sum x[/tex] is the sum of the variables
N is the total test taken
[tex]\sum x = 62 + 78 + 59 + 89\\\sum x = 288\\\\N = 4[/tex]
Substitute the resulting values into the mean formula:
[tex]\overline x = \frac{288}{4}\\ \overline x =72[/tex]
This shows that the mean of his grades is 72
Learn more here:https://brainly.in/question/2401311
Is 0 a natural number?
Answer:
Yes 0 is a natural number
Step-by-step explanation:
I googled it
Step-by-step explanation:
Zero is not positive or negative Even though zero is not a positive number it is still considered a whole number yes it is a natural number because it is on the number line
How do you make a decimal into a fraction?
Answer:
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction.
What is the length of Line segment A C? Round to the nearest tenth.
Answer:
wheres the info
Step-by-step explanation:
Answer:
A: 10.5 m
Step-by-step explanation:
i think it's A, i may be wrong! hope this helps!!~
What’s is the percentage difference between 26 and 14
the percent difference is 60%
Find the real solution(s) of the equation. Round your answer to two decimal places when appropriate. 5x^6=30
Answer:
The real solutions are
[tex]x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35[/tex]
Step-by-step explanation:
The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.
To find the real solutions of the equation [tex]5x^6=30[/tex]:
[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x^6}{5}=\frac{30}{5}\\\\\mathrm{Simplify}\\\\x^6=6\\\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)}\\\\x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35[/tex]
The volume of the mold is 186 cubic feet concrete is sold by cubic yard how many cubic yards of concrete will I need to fill mold
Answer:
Volume of the mold is [tex]6.93\ \text{yards}^3[/tex].
Step-by-step explanation:
The volume of the mold is 186 cubic feet concrete. It is to be sold by cubic yard. It means that we need to convert cubic feet to cubic yard.
1 feet = 0.334 yards
[tex]186\ \text{feet}^3=186\times (0.334\ \text{yards})^3\\\\V=6.93\ \text{yards}^3[/tex]
So, the volume of the mold is [tex]6.93\ \text{yards}^3[/tex].
What’s the range of 39, 41, 5, 43, 26, 7, 43, 24, 41
Answer:
38
Step-by-step explanation:
Range= highest number - lowest number
Range= 43-5
=38
Step-by-step explanation:
Step 1: Find the highest number and the lowest number
Highest Number → 43
Lowest Number → 5
Step 2: Find the range by subtract the lowest number from the highest number
Highest Number - Lowest Number
43 - 5
38
Answer: The range is 38
I need help!!! And fast!!!!
Of the 34 cars in the parking lot, 12 are blue, 8 are red, 4are white, and 10 are silver. In simplest form, what are the odds in favor that the next car that leaves the lot will be red or white
Answer:
0.3529411765
Step-by-step explanation:
add red and white and divide it by the total
what is 8 - 3x > -25 because i have been wondering all day
Answer:
[tex]8 - 3x > -25 : \left[\begin{array}{ccc}solution: x < 11\\Interval Notation:(-\infty,11)\end{array}\right][/tex]
Step-by-step explanation:
[tex]8-3x>-25[/tex]
Subtract [tex]8[/tex] from both sides:
[tex]8-3x-8>-25-8[/tex]
Simplify:
[tex]-3x>-33[/tex]
Multiply both sides by [tex]-1[/tex] (reverse the inequality):
[tex]\left(-3x\right)\left(-1\right)<\left(-33\right)\left(-1\right)[/tex]
Simplify:
[tex]3x<33[/tex]
Divide both sides by [tex]3[/tex] :
[tex]\frac{3x}{3}<\frac{33}{3}[/tex]
Simplify:
[tex]x < 11[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
Find S9, the sum of the geometric series to the 9th term, in which a3=3.645 and a8=15
Answer:
The sum of the first nine terms of the sequence is 74.44.
Step-by-step explanation:
Geometric sequence concepts:
The nth term of a geometric sequence is given by the following equation.
[tex]a_{n+1} = ra_{n}[/tex]
In which r is the common ratio.
This can be expanded for the nth term in the following way:
[tex]a_{n} = a_{1}r^{n-1}[/tex]
In which [tex]a_{1}[/tex] is the first term.
Or even:
[tex]a_{n} = a_{m}r^{n-m}[/tex]
The sum of the first n terms of a geometric sequence is given by:
[tex]S_{n} = \frac{a_{1}(1 - r^{n})}{1 - r}[/tex]
Finding the common ratio:
[tex]a_{3} = 3.645, a_{8} = 15[/tex]
[tex]a_{n} = a_{m}r^{n-m}[/tex]
[tex]a_{8} = a_{3}r^{8-3}[/tex]
[tex]a_{3}r^{5} = a_{8}[/tex]
[tex]3.645r^{5} = 15[/tex]
[tex]r^{5} = \frac{15}{3.645}[/tex]
[tex]r = \sqrt[5]{\frac{15}{3.645}}[/tex]
[tex]r = 1.327[/tex]
Finding the first term:
[tex]a_{3} = a_{1}r^{2}[/tex]
[tex]a_{1} = \frac{a_{3}}{r^{2}}[/tex]
[tex]a_{1} = \frac{3.645}{(1.327)^{2}}[/tex]
[tex]a_{1} = 2.07[/tex]
Sum of the first nine terms:
[tex]S_{9} = \frac{2.07*(1 - (1.327)^{9})}{1 - 1.327} = 74.44[/tex]
The sum of the first nine terms of the sequence is 74.44.
Answer:
S₉ = 9.84
Step-by-step explanation:
In a geometric series, the general formula for nth term is:
an = a₁rⁿ⁻¹
where,
an = nth term
a₁ = first term
r = common ratio
From this formula, we have:
a₃ = a₁r² = 3.645 --------- equation (1)
a₈ = a₁r⁷ = 15 ----------- equation (2)
dividing both of these equations, we get:
a₁r⁷/a₁r² = 15/3.645
r⁵ = 4.115
r = (4.115)^1/5
r = 1.33
Now, put this value in equation (1), we get:
a₁(1.33)² = 3.645
a₁ = 0.27
Now, the formula for the sum of geometric series upto nth term is:
Sn = a₁(rⁿ - 1)/(r - 1)
therefore,
S₉ = (0.27)(1.33⁹ - 1)/(1.33 - 1)
S₉ = 9.84
the circumference of a circle is 107.81 yards. Find the diameter of the circle to the nearest tenth
Answer:
68
Step-by-step explanation:
Divide the circumference by pi, approximately 3.14, to calculate the diameter of the circle. For example, if the circumference equals 56.52 inches, divide 56.52 by 3.14 to get a diameter of 18 inches. Multiply the radius by 2 to find the diameter.
Answer:
the answer is attached to the picture
Instructions : integrate the following
You can simplify the integrand:
[tex]\dfrac{3x^2+4x+1}{2x}=\dfrac{3x}2+2+\dfrac1{2x}[/tex]
Then integrate term-by-term:
[tex]\displaystyle\int\frac{3x^2+4x+1}{2x}\,\mathrm dx=\frac32\int x\,\mathrm dx+2\int\mathrm dx+\frac12\int\frac{\mathrm dx}x[/tex]
[tex]=\dfrac{3x^2}4+2x+\dfrac12\ln|x|+C[/tex]
plzzzzzzzz i need help
Michael is cutting a 100-yard ribbon into pieces 3.4 yards long. He says that an inequality that represents his project is 3.4x < 100. Explain what this statement means, in words, and what each part of the inequality represents.
Answer:
Okay well the 3.4 yard pieces are the constant in which Michael will be cuttings that number stays the same an will not change. The (X) represents the unknown number of how many times the ribbon will be cut. As the whole inequality states the unknown number of pieces that are 3.4 yards long are less than 100 yards.
Answer:
The variable, x, is the number of pieces of ribbon Michael cuts. Since each piece is 3.4 yards long, 3.4x is the total length of all the pieces together. This total length cannot be more than the 100 yards of ribbon he has, so 3.4x must be less than or equal to 100.
Determine the intercepts of the line.
9x-7y=14
Answer:
The intercepts of the line: 9x - 7y = 14
For x-intercept, in this case: y = 0, => 9x = 14 => x = 14/9
=> x-intercept (14/9, 0)
For y-intercept, in this case: x = 0, => -7y = 14 => y = -2
=> y-intercept (0, -2)
Hope this helps!
:)
division concepts
how many times can 9 go into .7632 ?
Answer:
None! .7632 is smaller than 9.
Step-by-step explanation:
write an equation in point-slope form for the line that has a slope of 15 and contains the point (2,−9).
Answer:
y +9 = 15(x -2)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . for slope m and point (h, k)
Here, you are given m=15 and (h, k) = (2, -9). Putting these values into the form gives the equation ...
y +9 = 15(x -2)
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
Answer:
B. 5x^2 -4
Step-by-step explanation:
(f+g)(x) = f(x) + g(x)
= (4x^2 +1) +(x^2 -5) . . . . . . substitute for f(x) and g(x)
= x^2(4 +1) +(1 -5) . . . . . . . . collect terms
(f+g)(x) = 5x^2 -4
Which expression is equivalent to (3b + 2r)+(4b + r)
Answer:
7 b + 3 r
Step-by-step explanation:
Which geometric series converges?
CO
Σ(-3) 2-1
Η =1
O
Σ5-1) 2-1
CO
Ο Σ4(-02 - 1
H=1
CO
Σ06(-2) 2-1
h=1
Answer:
its C
Step-by-step explanation:
i just did it on edge and plus its really not cool to post answers when you dont actually know the answer bc people that actually want to help cant bc there only two answers allowed per question. so please dont answer if your not trying to help.
The geometric series [tex]\sum_{n=1}^{\infty} 5(-1)^{n-1}[/tex] converges to zero.
What is convergent and divergent geometric series?A mathematical term denoting an endless series of the form
a + ar + ar² + ar³ + ⋯, where r is referred to as the common ratio. The geometric series for a = 1 and r = 1/2, or 1 + 1/2 + 1/4 + 1/8 +, is a straightforward example.
A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit.
In contrast, a divergent series is one whose partial sums do not reach a limit. The Divergent series usually approaches infinity.
From the given options let us try with [tex]\sum_{n=1}^{\infty} 5(-1)^{n-1}[/tex].
[tex]= 5\sum_{n=1}^{\infty} (-1)^{n-1}.[/tex]
[tex]= 5\sum_{n=1}^{\infty} (-1)^{n}.\frac{1}{-1}[/tex].
[tex]= -5\sum_{n=1}^{\infty} (-1)^{n}.[/tex]
= - 5[- 1 + 1 - 1 + 1 ...+ 1].
= - 5[0].
= 0.
learn more about geometric sequences here :
https://brainly.com/question/19235539
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What -13/5÷(2/3) in mixed numbers
Look at the attached picture
Hope it will help you
Calculate CDEFtrapezium
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You need to find the length of A F and BC first
Lets call BC --> 'x'
Lets form an equation
9 + 9 + x + x = 28
18 + 2x = 28
- 18
2x = 10
/ 2
x = 5
So now we have the length BC
We can subtract this length from the 11cm to find the vertical height of the trapezium
11 - 5 = 6
Now we have all we need to work it out.
area = (a + b) / 2 x h
area = (5 + 9) / 2 x 6
area = 42 cm^2
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Answer:
42 cm²
Step-by-step explanation:
We can see this shape is made of 2 shapes that we are familiar with which are a rectangle and a trapezium.
⇒ The first step in working out the area of the trapezium is working out the length of CB and then working out the height of trapezium. We are given that the perimeter of the rectangle is 28 cm and we know that opposite sides of a rectangle are equal so we will call the length we want to work out x
→ x + x + 9 + 9 = 28
⇒ Simplify
→ 2x + 18 = 28
⇒ Minus 18 from both sides to isolate 2x
→ 2x = 10
⇒ Divide both sides by 5 to isolate x
→ x = 5
5 cm is the length of CB, we will need to minus that from 11 to find the height of the trapezium so,
11 - 5 = 6. The height of the trapezium is 6
Now we have the height of the trapezium (6), we have the base (9) and we have the top length (5). All we do now is substitute these numbers into the trapezium formula which is
→ 0.5 × ( a + b ) × h
Where 'a' and 'b' are the parallel sides and 'h' is the height
Now we begin to substitute in the values,
→ 0.5 × ( a + b ) × h
⇒ Substitute in the values
→ 0.5 × ( 5 + 9 ) × 6
⇒ Simplify
→ 0.5 × ( 14 ) × 6
⇒ Simplify further
→ 42
The area of the trapezium is 42 cm²
helpp me nowwwwwww dew Help Marshmello i wasn't born yesterday. xd
Answer: A) DE = 24 yd and EF = 10 yd
Step-by-step explanation:
Shape EFD is just a dilate of 2, meaning BCA x 2.
13 x 2 = 26
12 x 2 = 24
5 x 2 = 10
Therefore, DE = 24 yd and EF = 10 yd
I hope this helps!
Answer:
DE = 24, EF = 10
Step-by-step explanation:
We can use ratios to solve
13 ft 12 ft
---------- = -----------
26 ft x ft
Using cross products
13x = 12*26
Divide each side by 13
13x/13 = 12*26/13
x = 24
13 ft 5 ft
---------- = -----------
26 ft y ft
Using cross products
13y = 5*26
Divide each side by 13
13y/13 = 5*26/13
y = 10
2. 4x - 2y = -6
-6x + 2y = 2
Answer:
x = 2, y =7
Step-by-step explanation:
4x - 2y = -6
-6x + 2y = 2
Add the equations together
4x - 2y = -6
-6x + 2y = 2
-----------------------
-2x = -4
Divide each side by -2
-2x/-2 = -4/-2
x = 2
now find y
-6x+2y =2
-6(2) +2y =2
-12+2y =2
Add 12 to each side
-12+12+2y = 2+12
2y =14
Divide by 2
2y/2 =14/2
y =7
Which statement is true regarding the graphed functions? On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 6, 0) and the y-axis at (0, 6). A straight blue line with a negative slope, labeled f of x, crosses the x-axis at (negative 0.75, 0) and the y-axis at (0, negative 2). f(4) = g(4) f(4) = g(–2) f(2) = g(–2) f(–2) = g(–2)
Answer:
none of the above
Step-by-step explanation:
The attached graph shows that none of f(-2), f(2), or f(4) matches any of g(-2) or g(4).
None of the offered statements is true.
___
Please report this problem to your teacher.
Answer:
The answer is not C
Step-by-step explanation:
I think the answer is D sooooo Pray it will be
UPDATE IT IS D
HOPE THIS HELP STAY SAFE