The value of y varies directly with x. When y=55, x=1/4. Determine the constant of proportionality

Answer:

There's enough soil to plant 8 herbs.

Step-by-step explanation:

24 ÷ 2 7/8 = 8.3

This shows that there's enough soil to plant 8 herbs.

Answer:

15x^2 + 14x - 8.

Step-by-step explanation:

(3x + 4)(5x - 2)

= 3x(5x - 2) + 4(5x - 2)

= 3x*5x + 3x*-2 + 4*5x + 4*-2

= 15x^2 - 6x + 20x - 8

= 15x^2 + 14x - 8.

Using the slope concept, it is found that the distance the plane traveled from point A to point B was of 18052.4 ft.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

At point A, the vertical change is of 7475 ft, with an angle of 16º, hence the equation below can be solved to find the position:

[tex]\tan{16^\circ} = \frac{7475}{x_A}[/tex]

[tex]x_A = \frac{7475}{\tan{16^\circ}}[/tex]

[tex]x_A = 26068.4[/tex]

At point B, the angle is of 43º, hence:

[tex]\tan{43^\circ} = \frac{7475}{x_B}[/tex]

[tex]x_B = \frac{7475}{\tan{43^\circ}}[/tex]

[tex]x_B = 8016[/tex]

Hence, the distance in feet is given by:

[tex]d = x_A - x_B = 26068.4 - 8016 = 18052.4[/tex]

More can be learned about the slope concept at https://brainly.com/question/18090623

90

Step-by-step explanation:

It's a right-angle triangle

Hope this helps!

Answer:

Step-by-step explanation:

A function is even if [tex]f(x)=f(-x)[/tex], or if the graph has a rotational symmetry about the x-axis. A function is odd if [tex]f(x)=-f(-x)[/tex]. For example, if you were to reflect that graph about the y-axis. Would it present symmetry?

From the graph we know from the fundamental theorem of Algebra that since f has 3 distinct roots, and changes directions three times, we are dealing with a cubic equation in the form of [tex]f(x)=x(x+2)(x-2)[/tex]

Since the equation is known, try the formulas

First, test for an even function, [tex]f(x)=f(-x)[/tex], this means that for our function, f, [tex]f(2)=f(-2)[/tex] see if this holds true

[tex]2(2+2)(2-2) = -2(-2+2)(-2-2)\\2(4)(0)=-2(0)(-4)\\0 = 0[/tex]

This means that the function is even.

Answer:

the answer is 202 square inch

Step-by-step explanation:

Ref. to the diagram I have attached.

First, we can find the area of the square.

Here the side of the square is given 4 inches.

1. So Area of the square= side * side= 4*4= 16 square inches.

Now let's find the area of the smaller rectangle. Now here,

As one side of the square is the same as the breadth of the rectangle, the breadth of the rectangle will be 4 inches, and the length is given 9 inches.

2. So, Area of the smaller rectangle= length* breadth= 9*4= 36 square inches.

Now, lastly, we will find the area of the bigger rectangle:

Here, the length will be 15 inches and the breadth will be 10 inches (as the opposite sides in a rectangle are equal and the values are already given).

3. ∴  Area of bigger rectangle= l*b= 15*10= 150 square inches.

So now,

To find the total area of the figure, we need to add all the areas:

36+ 16+ 150= 202 square in.

ANSWER IS 202 sq. in.  

I know it's a bit long and boring to read, but hope it helps!!

The dropdown numbers is an illustration of combination

The smallest dropdown number is 1025

From the question, we have the following parameters:

We start counting from 1023, 1024, 1025, 1026...........

The number 1025 satisfies the given conditions

Hence, the smallest dropdown number is 1025

Read more about combination at:

https://brainly.com/question/11732255

Answer:

B. 8.75

Step-by-step explanation:

Answer:

ABGE is a parallelogram because it has congruent sides

Step-by-step explanation:

:-)

The appropraite statistical test that would be used to measure the difference  in the variability of the mean scores among the three schools is mean absolute deviation.

Mean absolute deviation is the average of the absolute difference between the data set and its mean. Mean absolute deviation is used to measure spread.

MAD =  [tex]\frac{1}{n}[/tex]∑ l x - m(x) l

Where:

To learn more about mean absolute deviation, please check: https://brainly.com/question/27365177

Answer:

1.63 cm

Step-by-step explanation:

Volume of water in Tank A

Volume of Tank B

Finding Height

Answer:

1.63 cm (nearest hundredth)

Step-by-step explanation:

Formulae

Volume of a cuboid = base width × base length × height

Area of a rectangle = width × length

Tank A

Given:

⇒ Volume of Tank A = 7 × 7 × 7 = 343 cm³

Tank B

⇒ Base area of Tank B = 14 × 15 = 210 cm²

Solution

Height = volume of Tank A ÷ base area of Tank B

           = 343 ÷ 210

           = 49/30 cm

           = 1.63 cm (nearest hundredth)

Answer:

3

Step-by-step explanation:

If you deduct 5 from 8, you get the answer to 5 less than 8.

"5 less than 8" means we subtract 5 from 8:-

8-5

That's the expression :)

Simplify the expression:-

3

So if we have less than a number, we subtract that number.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

I know that answer

..............please mark as brainliest

5 1/3 - 2/3

= (5 – 0) + (1/3-2/3)

= 5 + 1-2/3

= 5 +-1/3

 = 4 2/3

in fraction:

= 4 2/3

in decimal:

= 4.6666666666667

Answer:

7

Step-by-step explanation:

the mean is (the sum of numbers in a data set)/(# of points in that data set).

So,

[tex]\frac{4+8+9+x+2}{5} = 6[/tex],

[tex]\frac{23+x}{5} = 6[/tex],

23+x = 6*5

23+x = 30

x= 30-23

x = 7

Hence, the value of x is 7.

Hope this helps!!!

Also, please mark as brainliest!!!

Answer:

d

Step-by-step explanation:

components of a vector is given as

X=vcos■ y= vsin■

substitute the substitute the vector into v and the angle into ■

hence x=-4.89

and y= 3.48

Answer:

a) 405, -315 b) 540, -180 c)195, -525

Step-by-step explanation:

a) 45+360= 405, 45-360=-315

b) 180+360=540, 180-360=-180

c) -165+360=195, -165-360=-525

hope this helped

[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}+1=0[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}=-1[/tex]

[tex]\\ \rm\Rrightarrow 3tan(2x+10)=1[/tex]

[tex]\\ \rm\Rrightarrow tan(2x+10)=1/3[/tex]

[tex]\\ \rm\Rrightarrow 2x+10=18[/tex]

[tex]\\ \rm\Rrightarrow 2x=8[/tex]

[tex]\\ \rm\Rrightarrow x=4[/tex]

We can  rewrite (z ≤ −1.75) in order to  4%.

We have given that  (z ≤ −1.75).

We have to use the Normal Distribution is symmetrical

The normal distribution is symmetric and has a skewness of zero.

[tex]P(z \leq -1.75)[/tex]

[tex]P(z > > 1.75)[/tex]

[tex]1 - P(z \leq 1.75)[/tex]

[tex]1 - 0.9599[/tex]

[tex]0.04001 \times 100=4.001 \%[/tex]

That is nothing but the 4%

The learn more about the normal distribution visit:

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Answer:

Step-by-step explanation:

Answer:

17/12=1 5/12

Step-by-step explanation:

the addition of 2/3+3/4=17/12=~1 5/12

Answer:

1. B. one is acute and the other is obtuse

2. D. no determination can be made

3. B. right

4. D. it cannot be determined

Step-by-step explanation:

1. If ∠KAT and ∠GIF are supplementary angles then one is acute and the other is obtuse

example : m∠KAT = 70° and m∠GIF = 110°

2.If ∠DEF and ∠IPN are congruent, they are no determination can be made

counter-example:

m∠DEF = 50° and m∠IPN = 50°

3.If the sides of a triangle measure 3, 4 and 5, then the triangle is right

because : 5² = 3² + 4²

4. If two sides of a triangle measure 4 and 14, and an angle measures 34º, then the triangle is it cannot be determined

To know how many calories has Sabir burned in his workout, first identify the calories he burnt every day, and then add them.

The total of calories burnt is equal to adding the calories burnt everyday:

Due to this, the steps recommended are:

Here is a hypothetical example:

Note: This question is incomplete because the chart is not given;  due to this, the answer is based on general knowledge.

Learn more about calories in: https://brainly.com/question/10075900

Answer:

Step-by-step explanation:

36/120 for parts

x-36/120 is for labour

x = 120

120-36/120

84/120

times by 100 for percent

70%

Answer:

#1: 4) D

#2: 1) 34.89 = 3 × C

#3: 4) 6y + 18

Step-by-step explanation:

#1

Using the distributive property:

3 × 5z = 15z

3 × -3 = -9

The correct expression is 15z - 9. Hence, D is the right option.

#2

You need to find the cost of each box.

3 × C = 34.89

34.89 ÷ 3 = 11.63

3 × 11.63 = 34.89

Hence, 1) is the right option.

#3

Using the distributive property:

6 × y = 6y

6 × 3 = 18

The expression is 6y + 18. Hence, 4) is the right option.

hope this helps!! p.s. i really need brainliest :)

Answer:

10

Step-by-step explanation:

5! / (3! 2!)

[tex] \frac{5 \times 4 \times 3}{3 \times 2 \times 1} = 10[/tex]

Answer:

Area of the trapezoid is 120

Answer: 241.5 square inches

Step-by-step explanation: