What would be the angles for D, E, and F?

Answer:

The inequality that models the situation for her to have money to save is

7L² > 3(200L - L²)

On simplifying and solving,

L > 60 meters

Step-by-step explanation:

The length of her farm = L meters

The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

The piece of land is 200 m wide.

Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

= L(200 - L)

Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.

Total amount she earns from the side she grows the avocados = 7 × L² = 7L²

Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)

For her to save money, the amount she earns must be greater than the amount she spends, hence the inequality had to be

(Amount she earns) > (Amount she spends)

7L² > 3(200L - L²)

To simplify,

7L² > 3L(200 - L)

Since L is always positive, we can divide both sides by L

7L > 3(200 - L)

7L > 600 - 3L

10L > 600

L > 60 meters

Hope this Helps!!!

Answer:

Answer is in attached image.

Step-by-step explanation:

(2/3 + 4/5) / (3/6)

= (10/15 + 12/15) * 2

= (22/15) * 2

= 44/15.

Answer:

C=3/2

Step-by-step explanation:

C4-1=5

Add 1 onto both sides

C4=6

Divide each side by 4

C=6/4

Simplify (Divide by 2)

C=3/2

Henry must have to score 86 marks in the fifth exam to make an average of 80 marks.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

Henry scored 85, 76, 84, and 69, and let's suppose he scored 'x' marks in the fifth exam.

Average = sum of all marks/total number of exams

  80 =(85 + 76 + 84 + 69 + x)/5

 80 = 314 + x/5

 80 * 5 = 314 + x

 400 = 314 + x

  x = 400 - 314

  x = 86

Hence, Henry must have to score 86 marks in the fifth exam to make an average of 80 marks.

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Answer:

d + r ≥ 30

$0.75d + $1.25r ≤ $30

Step-by-step explanation:

Given the following :

Number of items to purchase = atleast 30

Total cost must be no more than 30

cost of donut (d) = $0.75

Cost of cinnamon (r) = $1.25

Number of donuts and cinnamon to purchase

To total number of items :

Donut + cinnamon ≥ 30

d + r ≥ 30

Cost of items to purchase :

Cost = price per item * number of items

$0.75d + $1.25r ≤ $30

Answer:

a)-30

b)-60

c)98

d)-54

Step-by-step explanation:

320/-4

-180/3

-14X-7

6X-9

Answer:

- \(\frac{35}{6}\)

Step-by-step explanation:

The additive inverse is the opposite of 6, that is - 6 ( 6 - 6 = 0 )

The multiplicative inverse is the reciprocal of 6 , that is \(\frac{1}{6}\) ( 6 × \(\frac{1}{6}\) = 1 )

Thus their sum is

- 6 + \(\frac{1}{6}\) = - \(\frac{36}{6}\) + \(\frac{1}{6}\) = - \(\frac{35}{6}\)

Answer:

- 5 5/6 or you can write it as -35/6.

Step-by-step explanation:

The additive inverse of 6 is -6 because 6 + (-6) = 0 while the multiplicative inverse is 1/6 because 6 * 1/6 = 1.

So the answer is  - 6 + 1/6 = - 5 5/6.

The mean and standard deviation of the scores are given below:

• Mean = 75

• Standard deviation = 4

We make use of the z-score formula below:

Part A (between 63 and 87)

First, we determine the z-scores.

Part B (Above 83)

Therefore, the percentage of scores that were above 83 is 2.28%.

Part C (below 71)

Therefore, the percentage of scores that were below 71 is 15.87%.

Part D (between 67 and 79)

Answer:

x=127 y=30

Step-by-step explanation:

angle G is congruent to angle L so you would set them equal.

angle J is congruent to angle O so set them equal

I think

The value of n in the equation is 15. The equations are equal.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Therefore, let's find the exponent n in the equation as follows:

1.8 x 10ⁿ= (6 x 10⁸)(3 x 10⁶)

(6 x 10⁸)(3 x 10⁶)

we have to add the exponents

(6 x 10⁸)(3 x 10⁶) = 6 × 3 × 10⁸⁺⁶

(6 x 10⁸)(3 x 10⁶) = 18 × 10¹⁴

Therefore,

(6 x 10⁸)(3 x 10⁶) = 1.8  × 10¹⁴⁺¹

(6 x 10⁸)(3 x 10⁶) =  1.8  × 10¹⁵

Therefore,  n = 15. The equations are equal.

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Answer:

  9xy² -6x²y +5x³

Step-by-step explanation:

You want the additive inverse of –9xy² + 6x²y – 5x³.

The additive inverse is the value that gives zero when added to the original. It can be formed by changing the signs of the terms in the sum:

  9xy² -6x²y +5x³

(a) Let S be a subset of an n-dimensional vector space V. Suppose S contains less than n vectors. Then, the maximum number of linearly independent vectors in S is also less than n. Therefore, the dimension of the span of S is less than n, and hence, S cannot span V.

(b) The nullity of a matrix is the dimension of its null space, which is the set of all solutions to the homogeneous equation Ax = 0, where A is the matrix. The smallest possible nullity for a 4 x 7 matrix is 3, since the nullity cannot be greater than the minimum of the number of rows and columns. The largest possible rank is 4, since the rank cannot be greater than the number of rows.

(c) The smallest possible nullity for a 7 x 4 matrix is also 3, since the nullity cannot be greater than the minimum of the number of rows and columns. The largest possible rank is 4, since the rank cannot be greater than the number of columns. This follows from the rank-nullity theorem, which states that the rank plus the nullity of a matrix equals its number of columns.

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By using the triangular inequality, we will get the possible lengths:

a) 6km < x < 16km

b) 0mi < x < 24mi

c) 15yd < x < 30yd

If A, C, and D are the lengths of the sides of a triangle, then the triangular inequality says that:

A + C > D

A + D > C

C + D > a

Now, if the two sides are 5km and 11 km, and the other side is x, then we can write:

x + 5km > 11km

x + 11km > 5km

11 km + 5 km > x

From these inequalities we can get:

16km > x

x > 11km - 5km

x > 6km

Then the possible lengths of the third side are:

6km < x < 16km

b) Now the sides are 12 mi and 12mi, then the inequalities are:

x + 12mi  > 12mi

12mi + 12mi > x

The first one gives:

x > 0mi

The second:

24mi > x

The possible lenghts are 0mi < x < 24mi

c) 25 yd and 10 yd

Here we will get:

25yd + 10yd > x  ----- >  30yd > x

x + 10 yd > 25yd -------> x > 15yd

The possible lengths are:

15yd < x < 30yd

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Answer:

4 is the answer

Step-by-step explanation:

x+2-x+2= 4

Answer:

If you are talking about subtracting it is 4

Step-by-step explanation:

(x+2)-(X-2)=4

Answer:

16.6

Step-by-step explanation:

In 3.5 hours, a total of 1950 gallons of water will be filled in swimming pool.

The general form of a linear function is given as follows -

y = kx

or

y = kx + c

Given is a swimming pool that holds 10,000 gallons of water is being filled at a rate of 600 gallons per hour. The function h(x)=600x represents the amount of water in the pool after [x] hours.

The linear function that represents the amount of water in the pool after [x] hours is given by -

h[x] = 600x

Now, for x = 3.5, the amount of water in the pool will be -

h[3.25] = 600 x 3.25 = 1950 gallons of water.

Therefore, in 3.5 hours, a total of 1950 gallons of water will be filled in swimming pool.

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Answer:

There are 16 squares and 12/16 is 75 percent so 75% - green

25% - white hope this helps :)

Step-by-step explanation:

The answer is 5.12 easy as pie

Answer:

x = 3

Step-by-step explanation:

5x + 9 = 24

5x = 24 - 9

5x = 15

x = 3

Check:

5(3) + 9 = 24

SM = 24,    MT = 24 ✔️

Answer:

Step-by-step explanation:

If M is the midpoint between points S and T, then both sides; SM and ST are equal. This means that 5x + 9 has to equal 24.

5x + 9= 24

5x +9 - 9= 24 - 9

5x= 15

5x / 5 = 15 / 5

x = 3

ANSWER: x = 3

Answer: m = √44 = 6.6 units

Step-by-step explanation:

Since this a right triangle and we have the side measurements of the hypotenuse and a side we can use the Pythagorean theorem to find the measurement of the other side

Let the missing side, m, equal b

c^2=a^2+b^2

12^2=10^2+b^2

10^2+b^2=12^2

10^2+b^2-10^2=12^2-10^2

b^2=44

b=√44, b=-√44

Angle measurements cannot be negative, therefore side m = √44 = 6.6 units

Let's consider the information given to us:

Now we know these proportions are equal, so:

    \(\frac{3}{5}=\frac{81}{x}\\ 3x = 5 * 81\\3x = 405\\x = 135\)

Thus the two cities are 135 km apart

Answer: 135 km

Hope that helps!

Answer:

135 km

Step-by-step explanation:

5 km / 3cm   *  81 cm  = 135 km  

     ( see how the 'cm' cancel and you are left with 'km' as your answer?)

Therefore , the solution of the given problem of probability comes out to be wednesday offers a greater opportunity than other days to host a nice outdoor barbecue with family.

Calculating the probability that a claim is accurate or that a specific incident will occur is the primary goal of any considerations technique. Chance can be represented by any number between range 0 and 1, where 0 normally represents a percentage while 1 typically represents the degree of certainty. An illustration of probability displays how likely it is that a specific event will take place.

Here,

Part A: We may examine and compare the chances of rain for each day in order to analyse the likelihood of rain between any two days. We can see,

for instance,

that Friday has the lowest likelihood of rain at 20% and Thursday has the largest chance of rain at 80%.

The best day to have the outside barbecue with family and friends will be Wednesday, according to the weather table in Part B. 40% of the time it will rain on Wednesday, which is less likely than it will on Monday, Tuesday, and Thursday.

Overall, Wednesday offers a greater opportunity than other days to host a nice outdoor barbecue with family and friends because there is a lower likelihood of rain.

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Answer:

It's the first one

Step-by-step explanation:

basically what the law of syllogism is is that If p equals q and if q equals r, then p equals r.

so, p=q=r

so, p=r

Answer:3hrs 59min

Step-by-step explanation:

πd=perimeter

(113÷3.14)

=35.99

9yards=1hr

35.99yards=?

35.99÷9=3hrs 59min

A series of rigid transformation that transform triangle EFG to produce an image that rests on the square ABCD to together form a simple drawing of a house are;

A translation and a counterclockwise rotation

A rigid transformation is one in which the lengths of corresponding points in the image are preserved.

A sequence of transformations (translations, rotations, and reflections that transform triangle EFG so that its image rest on square ABCD to together form a simple drawing of a house are;

The performance of the above transformations will produce the image of the simple drawing of the house consisting of the square base and the triangular top.

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One circle is 360°, that means, 180° is half of the circle.

Then, the required rotation may be performed according to this property. For more details see the attached picture.

Answer:

f=−g+9/2

g=−f+9/2

Step-by-step explanation:

hope that helps:)

The statistical test that would be appropriate to compare the anthers painted purple treatment and the control is: the chi-square goodness of fit test.

The chi-square goodness of fit test is used to determine if observed categorical data follows an expected distribution. In this case, the researcher wants to compare the effect of painting the anthers purple (treatment) with the control group (unmanipulated flowers) to see if there is a statistically significant difference in the development of fruits.

The researcher can set up two categories: "Developed into fruits" and "Did not develop into fruits." They can then compare the observed frequencies in these categories for the treatment group (anthers painted purple) with the expected frequencies based on the control group.

By applying the chi-square goodness of fit test, the researcher can assess whether the observed frequencies in the treatment group differ significantly from the expected frequencies based on the control group. If the p-value associated with the chi-square test is below the chosen significance level (e.g., 0.05), it suggests a statistically significant difference between the two groups.

Regarding the importance of stamens (or the contrast between stamens and corolla) in attracting pollinators, this is a separate question that requires empirical evidence. While stamens and their color contrast with the corolla can play a role in attracting pollinators, it is essential to conduct specific experiments or observational studies to evaluate their significance in the context of the particular flower species and pollinator interactions involved.

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when petals are considered collectively they are called the corolla). There were three treatments: 1) The stamens of some flowers were removed, 2) The stamens (normally yellow) of some flowers were painted to match the color of the corolla, 3) The corolla was removed from some flowers. If a flower is cross-pollinated, fertilization takes place a few hours later, and the lower central part of the flower known as the ovary expands into and becomes a fruit (picture a small tomato). The control flowers were unmanipulated but tagged like all the other flowers so the researcher could count how many of the flowers developed into fruits. flowers developed into fruits. Which statistical test would you use to compare the anthers painted purple treatment and the control to see if they are statistically discernable? You don't have to answer this question, but do you think the stamens (or the contrast between the stamens and the corolla) are important for attracting pollinators?

chi square goodness of fit test
chi square test for association
two-way ANOVA
two t-tests

Answer:

12. Option b: 20 is the correct answer.

13. Option a: A rose costs $1 more than a daisy is the correct answer.

Step-by-step explanation:

12. Given that:

15x+10y=700       Eqn 1

x+y=60      Eqn 2

To find x, we will eliminate y be multiplying Eqn 2 by 10

10(x+y=60)

10x+10y=600      Eqn 3

Subtracting Eqn 3 from Eqn 2

(15x+10y)-(10x+10y)=700-600

15x+10y-10x-10y=100

5x=100

Dividing both sides by 5

\(\frac{5x}{5}=\frac{100}{5}\\x=20\)

Hence,

Option b: 20 is the correct answer.

13. Given that:

5x+4y=32     Eqn 1

x+6y=22       Eqn 2

Multiplying Eqn 2 by 5

5(x+6y=22)

5x+30y=110     Eqn 3

Subtracting Eqn 1 from Eqn 3

(5x+30y)-(5x+4y)=110-32

5x+30y-5x+4y=78

26y=78

Dividing both sides by 26

\(\frac{26y}{26}=\frac{78}{26}\\y=3\)

Putting y=3 in Eqn 2

x+6(3)=22

x+18=22

x=22-18

x=4

Hence,

Option a: A rose costs $1 more than a daisy is the correct answer.

Answer:

11

Step-by-step explanation:

Answer:11

Step-by-step explanation:

because you have to create the equation and solve

The probability of having at least one dog adopted is 0.6126

It is given that the probability to adopt a dog is 0.1

The adoption of the dog here clearly follows a Binomial distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

where,

n = no. os sample

p = probability of success

x = random variable.

Here the success would be the adoption of a dog, We are given here there were 9 visits

Hence,

n = 9

p = 0.1

1 - p = 0.9

we need to find the probability of the adoption of at least one dog

= P(X ≥ 1)

= 1 - P(X = 0)

Hence we get

P(X = 0)

= ⁹C₀  X  0.1⁰  X  0.9⁹

= 0.3874

Hence,

P(X ≥ 1)

= 1 - 0.3874

= 0.6126

Therefore the probability that at least one dog will be adopted is 0.6126

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