On Sunday, Sheldon bought 412 kg of plant food. He used 123kg on his strawberry plants and used 14 kg for his tomato plants.

How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.

Answer:

92.4/3.3 = 28

Therefore, the number that 92.4 is 330 percent of, is 28.

Step-by-step explanation:

Answer:

The mean is 38, the median is 34, the mode is 34

Step-by-step explanation:

mean: add all the numbers then divide by how many numbers there are in the data set, there were 7 test scores so in this case, divide  by 7

median: the number in the middle when you order the numbers from least to greatest

mode: most commonly used number; number that appears most often.

hope this helps!

Answer:

base = 8

Step-by-step explanation:

In an isosceles triangle, the legs are equal.

P = 28 = 2L + 8

2L + 8 = 28

2L = 20

L = 20/2 = 10 (length of each leg)

P = 2L + b  (sum of the lengths of the 2 legs and the base)

28 = 2(10) + b

b = 28 - 20 = 8

Answer:

So, Simplified fraction of 8:6 is 4:3.

Answer: option D

Step-by-step explanation:

Given equation:

P = 6 w + 8 [eq1]

l=2w+4 [where l is length]

using eq1 we have:

6w=P-8

w=(P-8)/6

hence  option D

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Answer:

Answer is Option B.

That is the nth term of the sequence.

1/8 + 1/16 + 1/32....

You notice that all the numerators are the same. Which is (1).

so we have to both about getting the nth term of the denominator

Since all the denominator are divisible by 2... and Your intuition should tell you that they'd multiples of 2

So Lets go with 2^n

2^n

let n be all Integers

let take 1,2,3

2¹ = 2

2² = 4

2³ = 8

Now Observe that

If you multiply all these by 4... We will have all the values of the denominator

which are 4,16,32

So thats our nth term

1/4(2^n)

as n approaches positive Infinity.

The expression is \(\lim_{n \to \infty} \frac{1}{4(2^{n}) }\) , so option (B) is the correct expression.

"A series expansion is an expansion of a function into a series or infinite sum. It is a method for calculating a function that cannot be expressed by just elementary operators (addition, subtraction, multiplication, and division)".

For the given situation,

The series is given as \(\frac{1}{8} +\frac{1}{16}+ \frac{1}{32}+ \frac{1}{64}+ \frac{1}{128}+......\)

In the series, all the numerators are 1 and the denominators are even numbers so multiples of 2.

Now, we examine the denominators alone.

\(8,16,32,64,128\)

⇒ Multiples of 2. So we get \(2^{n}\) multiplied by some integers.

Put \(n=1,\)

⇒ \(2^{1}\) × \(4=8\)

Put \(n=2,\)

⇒ \(2^{2}\) × \(4=8\)

Put \(n=3,\)

⇒ \(2^{3}\) × \(4=32\)

Put \(n=4,\\\)

⇒ \(2^{4}\) × \(4=64\)

Put \(n=5\),

⇒ \(2^{5}\) × \(4=128\)

Thus \(2^{n}\) expression becomes \(2^{n}(4)\) .

Hence we can conclude that the expression is \(\lim_{n \to \infty} \frac{1}{4(2^{n}) }\) . So option (B) is the correct expression.

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The required polygon whose area is to be calculated is attached below :

Answer:

16 unit²

Step-by-step explanation:

From the graph, the polygon is a triangle with height of 8 units and base of 4 units ;

Area of a triangle is given as :

Area = 1/2 * base * height

Area = 1/2 * 4 * 8

Area = 2 * 8

Area = 16 unit²

The answer is not correct for the following reasons;

1. sin (tetha) = opp/hyp not adj/hyp

2. sin (24) = 8/ML, ML = 8/sin(24), therefore the value of ML is 8.79

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

To solve for ML:

cos (24) =8/ML

0.91 = 8/ML

0.91ML = 8

ML = 8/0.91

ML = 8.79

Therefore the value of ML is 8.79

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Answer:

one

Step-by-step explanation:

one is the only number that evenly adds up to six and multplys to 77

Answer:

57

Step-by-step explanation:

x - (-7) = 64

x + 7 = 64

x = 64 - 7

x = 57

8/11 = 0.7272727272.... = 0.72 (bar on 72)

Option C. is correct.

Answer:

-8.66666666666666666666666666666666666

-9

Step-by-step explanation:

Answer:

Domain: 0,1,2

The relation is a Function.

Step-by-step explanation:

hope this helps

A relation may or  may not be a function.

The relation is given as:

\(\mathbf{(x,y) = \{(0,0),(1,1),(2,0)\}}\)

List out the x-values

\(\mathbf{x = \{0,1,2\}}\)

The above set means that the x-values starts from 0 and ends at 2.

Hence, the domain is: [0,2]

For a relation to be a function, all y-values of the relation must point to different x-values.

So, we can say that, the given relation is a function, because all y-values have unique x values

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A sequence of transformations that maps △ABC to △A′B′C′ is a rotation of 90° counterclockwise about the origin followed by a translation 2 units right.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation

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A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.

The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.

Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

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Reccesive disorders are more  common because they are not easily eliminated by natural selection.

The autosomal dominant disorders refers to those disorders that have no gender preference and have possible male to male transmission.

The  autosomal dominant disorders are much more rare than the recessive disorders because they do not occur on a s-ex-linked chromosome. Note also that it is more common to have dominant mutations eleiminated by the process of natural selection.

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Answer:

The answer is 4

Step-by-step explanation:

If this helps may i plz have brainliest :)

Answer:

True

No solution

Step-by-step explanation:

The system of equations is

x + y +2 = 15      (1)
2x + 2 = 1           (2)
2y  - 2 = 7          (3)

Subtract 2 from both sides of Eq (2)

==> 2x + 2 - 2 = 1 - 2

==> 2x = -1

==> x = - 1/2 = - 0.5

Add 2 to both sides of Eq (3)

2y - 2 + 2  = 7 + 2

2y = 9

y = 9/2 = 4.5

Plug in values for  x and y in Eq (1)

x + y + 2 = 15 becomes

- 0.5 + 4.5 + 2 = 15

==> 6 = 15   which is false

This is an inconsistent system of equations. and therefore has no solution

Answer:

the polygon is a trapezoid

Step-by-step explanation:

(1, −1), (4, −1), the two points having the same y coordinate they make a horizontal line

(−1, −3), (7, −3) the two points having the same y coordinate they make another horizontal line

All horizontal lines are parallel.

The shape is a trapezoid because it has one pair of parallel lines.

Answer:

Brand A  Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^

Answer:

i dont now

Step-by-step explanation:

The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Answer:

Step 4 : he should have divided both sides by negative seven

Step-by-step explanation:

Answer:

Step-by-step explanation:

To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.

Let's apply the Luhn algorithm to the given credit card number:

Step 1: Starting from the rightmost digit, double every second digit

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|

Step 2: If the doubled value is greater than 9, add the digits of the result

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |

Step 3: Add up all the digits in the credit card number, including the check digit

5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61

Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.

61 is not divisible by 10, therefore the given credit card number is invalid.

Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

A. When b = 0

The linear function is:

f(x) = mx + b

f(kx) means that we should replace x by kx anywhere we see it in the function.

Mathematically,

f(kx) = m(kx) + b

f(kx) = mkx + b

kf(x) means that we should multiply the function f(x) by k

Mathematically,

k f(x) = k(mx + b)

k f(x) = mkx + kb

If b = 0:

f(kx) = mkx + 0

f(kx) = mkx

kf(x) = mkx + k(0)

kf(x) = mkx + 0

kf(x) = mkx

Therefore, kf(x) = f(kx) when b = 0

Answer:

The answer to your query would be the Third Answer Choice.

Step-by-step explanation:

> First we need to find where the point (3,0) lies on the graph. We can do this by looking at the x coordinate, being 3, and the y, being 0. Keep in mind that the solution is where the two lines meet, not where the point on the graph is.

> This gets us to 3 on the x line, and no further. We then need to find which has an intersection of both lines on that point. If it is not (0,3), it is not the correct answer, which we are looking for.

> The first graph has a solution of (0, -1.5), as this is where the lines intersect. This is not (3, 0), so this is not our answer.

> The second graph’s lines intersect at (0,1), and since that is the solution of the graph, it is not the correct answer.

> The third graph’s lines intersect at (3, 0), and since this is it’s solution, it is the correct answer. Since we cannot be 100% sure, we still need to continue with checking the last graph.

> The fourth and last graph’s lines meet at (0,3), which is not what we are looking for, and is henceforth wrong.

> Once again, the correct answer is the Third Answer Choice. All the other graph’s have solutions on points other than (3,0), so they are not our answers.

> I hope this answered your query and any other questions you may have had on the subject. #LearningWithBrainly

Step-by-step explanation:

To calculate Marjorie's quarterly interest payments, we need to use the formula:

Quarterly interest payment = (par value x coupon rate) / number of payments per year

Since the bond pays interest quarterly, there are four payments per year. Substituting the given values into the formula, we get:

Quarterly interest payment = ($3,000 x 3.42%) / 4

Quarterly interest payment = ($3,000 x 0.0342) / 4

Quarterly interest payment = $85.50 / 4

Quarterly interest payment = $21.375

Therefore, Marjorie's quarterly interest payments will be $21.375.

Answer:

p = 6 , q = 43

Step-by-step explanation:

x² + 12x - 7

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

=x² + 2(6)x + 36 - 36 - 7

= (x + 6)² - 43 ← in the form (x + p)² - q

with p = 6 and q = 43

Answer:

See below

Step-by-step explanation:

It'll look like this (but you will need to change the + - signs on the x and y axes !)