PLEASE HELP ME OUT !!!

3/2 part of the garden is planted by both the sisters.

A division is a process of splitting a specific amount into equal parts.

Given,

Jane's family divided up their garden so that 2/3 of garden will have vegetables.

Jane and her sister will plant2/3 of the vegetable portion of the garden

2/3 is the vegetable portion

In this vegetable portion 2/3 part is of the vegetable portion of the garden

3/2/2/3

3/2×3/2

6/4

3/2

Hence, 3/2 part of the garden is planted by both the sisters.

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Area of the rectangle is 60

Area of the semi circle 14.13 ir 14.1

60 plus 14.1 is 74.1

I hope its right

The answer is 3311.08, 56.12 * 49 = 3311.08

Answer:

2749.88

Step-by-step explanation:

THERES THE ANSWER  have a NICE DAY!! B-)

Matinee

Cost of each ticket: $6

Cost of popcorn: $3

Evening:

Ticket: $9

Popcorn: $4

Number of tickets: x

Number of popcorns : y

The Fun Club attends a matinee and spends less than $60

6x + 3y < 60

Then attends an evening show and spends more than $36

9x+ 4y < 36

We have the system:

6x + 3y < 60 (a)

9x+ 4y >36 (b)

Graph each inequality:

The intersection of red and blue is the solution.

7 tickets and 5 popcorns (7,5) is inside the intersection, So, it is the solution.

Answer:

Step-by-step explanation:

It's the third one. You avoid paying fees and interest. Smart people keep their credit cards at a zero balance for just that reason. Moral: don't buy what you cannot afford to pay off immediately.

Answer: It's C , "You have less of your credit limit available, therefore, less temptation to spend"

Step-by-step explanation:

The measure of angle DCE in this problem is given as follows:

m < DCE = 22.5º.

The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.

The three trigonometric ratios are given as follows:

The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:

cos(38º) = DB/12.2

DB = 12.2 x cosine of 38 degrees

DB = 9.6 cm.

BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:

DE = 1/4 x 9.6

DE = 2.4 cm.

Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:

tan(x) = 2.4/5.8

x = arctan(2.4/5.8)

x = 22.5º

m < DCE = 22.5º.

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Answer:

x = 22.5°

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

x = -34

Step-by-step explanation:

Lets use "x" as the missing number

9 + x = 15 - 40

9 + x = -25

x = -25 - 9

x = -34

Answer:

p = 235, q = 1000

Step-by-step explanation:

\( \frac{p}{q} = \frac{235}{1000} \\ \)

Answer:0.011

Step-by-step explanation:

The probability for exact 4 chickens being infected out of the 7 is ⁷C₄(0.15)⁴(0.85)³. The correct option is (A).

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Given that,

The probability of the infected chicken is 15%.

Which can be written as,

P(infected) = 15%

                  = 15/100

                  = 0.15

Then, the probability of not getting infected chicken is,

P(not infected) = 1 - 0.15

                        = 0.85

The total number of chicken for test = 7.

Now, in order to find the probability of the exact 4 infected chickens, binomial distribution can be used as.

The general expression for binomial distribution is ⁿCₓpˣqⁿ⁻ˣ.

For the given case p = P(infected) and q = P(not infected), n = 7 and x = 4.

Thus, the probability is given as,

P(Exact 4 are infected) = ⁷C₄(0.15)⁴(0.85)³

Hence, the  probability that exactly 4 of the 7 chickens sampled have the virus is  ⁷C₄(0.15)⁴(0.85)³.

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The complete question is given as, "Salim has flock of 300 chickens, 15% of which are infected with virus: He plans on taking an SRS of 7 chickens to test for the virus_ Which of the following would find the probability that exactly 4 of the 7 chickens sampled have the virus? Choose answer: 1(0.15) '(0.85)? (0.15)*(0.85)4 300 ` (0.15)'(0.85)3 (0.15)3(0.85)4 (0.15)4(0.85)".

The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

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Answer:

The pattern is adding by consecutive odds.

Step-by-step explanation:

The first odd you start with is 3:

1 + 3 = 4

4 + 5 = 9

9 + 7 = 16

16 + 9 = 25

25 + 11 = 36

...

Note that each time you add, it is by consecutive odds, meaning that after 36, you are adding 13, then 15, etc.

~

Answer:

y=2/3

Step-by-step explanation:

2y+4y=6-3y

⇔ 2y+4y+3y=6

⇔ 9y=6

⇔ y=6/9=2/3

The answer is:

y = 2/3

Work/explanation:

For now, I focus on the left side and combine the like terms:

\(\bf{2y+4y=6-3y}\)

\(\bf{6y=6-3y}\)

Add 3y to each side

\(\bf{6y+3y=6}\)

Combine like terms

\(\bf{9y=6}\)

Divide each side by 9

\(\bf{y=\dfrac{6}{9}}\)

\(\bf{y=\dfrac{2}{3}}\)

Hence, the answer is 2/3.

Answer:

Step-by-step explanation:

46.327=46 ( neaarest whole number)

-4.801=-5 (nearest whole number)

46-(-5)=46+5=51

Answer:

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

so the point \((\sqrt{3},\sqrt{7})\) is in the circumference so the distance from (0,0) to this point will be the radius of the bullseye

\(x=\sqrt{(\sqrt{3}-0)^2+(\sqrt{7}-0)^2}\\\\x=\sqrt{3+7}\\\\x=\sqrt{10}\)

so that's the radius

so the area will be

\(A=\pi x^2\\\\A=\pi (\sqrt{10})^2\\\\A=10\pi\)

so the percentage is

\(P=\frac{A}{1600}\\\\=\frac{10\pi}{1600}\\\\=\frac{\pi}{160}\\\\P\approx 0.02\)

so it's 2%

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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The measure of a central angle of a decagon is 36 degrees.

the 1/2 central angle = 18 degrees

Apothem ≈ 16.93

Area of the decagon ≈ 931.15

The figure has ten sides hence a decagon

To find the measure of a central angle of a decagon, we need to use the formula:

Central angle = 360 degrees / number of sides

Substituting the value for a decagon, we get:

Central angle = 360 degrees / 10 sides

Central angle = 36 degrees

To find the 1/2 central angle, we simply divide the central angle by 2:

1/2 central angle = 36 degrees / 2

1/2 central angle = 18 degrees

To find the apothem, we use the formula:

Apothem = (Side length) / (2 x tan(180 / number of sides))

Substituting the given values, we get:

Apothem = (11) / (2 x tan(18 degrees))

Apothem ≈ 16.93

To find the area of the decagon, we first need to find the perimeter using the formula:

Perimeter = (Number of sides) x (Side length)

Perimeter = 10 x 11

Perimeter = 110

Now, we can use the formula for the area:

Area = (1/2) x Apothem x Perimeter

Area = (1/2) x 16.93 x 110

Area ≈ 931.15

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Answer:

3715219

Step-by-step explanation:

1917291 + 1816191 = 3733482

3733482 - 18263 = 3715219

Answer:

8 sec^2 x + 4 tan^2 x − 12 = 0     →     sec^2x = tan^2x + 1

8 [ tan^2x + 1] + 4tan^2x - 12  = 0

8tan^2x + 8 + 4tan^2x - 12  = 0

12tan^2x - 4   = 0     divide through by 4

3tan^2x - 1  = 0

3tan^2x  =  1  

tan^2x  = 1/3      take the square root of both sides

tanx = ±1 / √

The number is 280

In mathematics, Least Common Multiple is referred to by its entire name, whereas Highest Common Factor is its complete name. The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).

Two key techniques—the division method and the prime factorization approach—can be used to determine H.C.F. and L.C.M.

So we need to find the LCM of 2,5 and 7. Furthermore, we need to find multiply the LCM with a number which can make its sum of digits equal to 10.

LCM of 2,5 and 7 is 70

70 x 4 = 280

Sum of digits of 280 is 10, which is also less than 500

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Answer: 40 pupils

Step-by-step explanation:

 35           14

-------   =   --------

100             ?

find the denominator.

multiply 14 and 100:

14 x 100 = 1400

divide 1400 by 35

1400/35 = 40

Therefore there are 40 students

The statement "m∠MRS = m∠MRO" is justified by the Vertical Angles Theorem, which states that when two lines intersect, the vertical angles formed by the intersection are congruent. In this case, ∠MRS and ∠MRO are vertical angles formed by the intersection of line RS and line MO, so they must have the same measure. Therefore, m∠MRS = m∠MRO.

Answer:

(-1, 1.5).

Step-by-step explanation:

To find the midpoint of line segment AB with endpoints A(2, 5) and B(-4, -2), you can use the midpoint formula. The midpoint formula states that the midpoint (M) of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:

M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Let's calculate the midpoint using this formula:

x-coordinate of midpoint:

x = (2 + (-4)) / 2 = -2 / 2 = -1

y-coordinate of midpoint:

y = (5 + (-2)) / 2 = 3 / 2 = 1.5

Therefore, the midpoint of line AB is M(-1, 1.5).

Answer:

-7

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

To find the value of t, we can use the formula for the slope of a line:

m = (y2 - y1) / (x2 - x1)

Given that the slope of the line is 0, we have:

0 = (-7 - t) / (5 - 3)

To solve for t, we can cross-multiply:

0 * (5 - 3) = -7 - t

0 = -7 - t

To isolate t, we can add 7 to both sides:

7 = -t

Dividing both sides by -1, we get:

t = -7

Therefore, the value of t is -7.

Answer:

Step-by-step explanation:

Hello, first, let's use the product rule.

Derivative of uv is u'v + u v', so it gives:

\(f(x)=(x^3-2x+1)(x-3)=u(x) \cdot v(x)\\\\f'(x)=u'(x)v(x)+u(x)v'(x)\\\\ \text{ **** } u(x)=x^3-2x+1 \ \ \ so \ \ \ u'(x)=3x^2-2\\\\\text{ **** } v(x)=x-3 \ \ \ so \ \ \ v'(x)=1\\\\f'(x)=(3x^2-2)(x-3)+(x^3-2x+1)(1)\\\\f'(x)=3x^3-9x^2-2x+6 + x^3-2x+1\\\\\boxed{f'(x)=4x^3-9x^2-4x+7}\)

Now, we distribute the expression of f(x) and find the derivative afterwards.

\(f(x)=(x^3-2x+1)(x-3)\\\\=x^4-2x^2+x-3x^3+6x-4\\\\=x^4-3x^3-2x^2+7x-4 \ \ \ so\\ \\\boxed{f'(x)=4x^3-9x^2-4x+7}\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you