The function graphed approximates the height of an acorn, in meters, x seconds after it falls from a tree.

After about how many seconds is the acorn 5 m above the ground?

Your Turn: In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.

Solution:

In ΔABX and ΔCDX,

∠CDX=∠ABX=90°

Also,∠CXD=∠AXB (as shown in figure)

∠DCX=∠BAX, as two angles of the triangle are equal. The third angle is also equal.

So ΔCDX≈ΔABX

Hence, the ratio of sides must be equal.

[tex] \frac{CD}{AB} =\frac{DX}{BX} =\frac{CX}{AX} [/tex]

Now, using,

[tex] \frac{CD}{AB} =\frac{DX}{BX} [/tex]

[tex] \frac{CD}{AB=12} =\frac{DX=2.5}{BX=5} [/tex]

[tex] \frac{CD}{12} =\frac{2.5}{5} [/tex]

Now, To solve for CD, Let us multiply by 12 on both sides

[tex] \frac{12*CD}{12} =\frac{12*2.5}{5} [/tex]

[tex] \frac{1*CD}{1} =\frac{30}{5} [/tex]

[tex] CD =\frac{6}{1} [/tex]

CD=6 Answer

Answer:

Option d:  6

Step-by-step explanation:

Find f(g(h(x))).

h(x)=2x+5

g(h(x)) = 3(2x+5)^2 -1     (substitute h(x) in)

f(g(h(x)))= -[3(2x+5)^2 -1]^3    (substitute g(h(x)) in)

Since it asks for the degree of the function, that means we must look for the variable with the highest degree. In this case, after distributing and simplifying out the last equation, we will find that the variable x has the highest degree of x^6, or 6.

Answer:

25ft^2

Step-by-step explanation:

9 + 16 = 25

Answer: The answer to this given basic math question about finding the area of the yellow square is 25 feet squared.

Step-by-step explanation: Mmmm, that was easy, so anyway, here is a basic step in order to find the area of the yellow square:

I hope that my given short answer with my given short step-by-step explanation is very helpful to your own basic math question about finding the area of the yellow square, please mark me as Brainliest, take care, always be safe, and have a great rest of the weekend! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Hence, the line with a slope [tex]2[/tex] that passes through the point [tex](2,0)[/tex] is

[tex]y=2x-4[/tex]

What is the line of equation?

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The numerous points which together form a line in the coordinate axis are represented as a set of variables [tex]x, y[/tex] to form an algebraic equation, which is referred to as an equation of a line.

As we know the line of the slope is

[tex]y=mx+b[/tex]

where [tex]m[/tex] is the slope we have [tex]m = 2.[/tex]

So it would be

[tex]y=2x+b[/tex]

Given the point,   [tex](2, 0)[/tex]

Now, we replace [tex]x[/tex] with [tex]2[/tex] and [tex]y[/tex] with [tex]0[/tex].

Now, we solve for [tex]b[/tex].

So,

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

Since we get [tex]b = -4[/tex], we replace [tex]b = -4[/tex]

i.e., [tex]2x-4[/tex]

Hence, the line with a slope [tex]2[/tex] that passes through the point [tex](2,0)[/tex] is

[tex]y=2x-4[/tex]

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Answer:15 quarts/1 x 0.95 liter/1 quart

Step-by-step explanation:

Final answer:

The expanded form of 59.69 is 50 + 9 + 0.6 + 0.09.

Explanation:

59.69 written in expanded form can be expressed as:

50 + 9 + 0.6 + 0.09

5 * 10 + 9 * 1 + 0.6 * 0.1 + 0.09 * 0.01

5 * 10 + 9 * 1 + 6 * 0.1 + 9 * 0.01

50 + 9 + 0.6 + 0.09

Therefore, the expanded form of 59.69 is 50 + 9 + 0.6 + 0.09.

Final answer:

The number 59.69 written in expanded form is 50 + 9 + 0.6 + 0.09. Each term represents a digit according to its place value, with tens, ones, tenths, and hundredths places accounted for respectively.

Explanation:

Writing the number 59.69 in expanded form means expressing each digit according to its place value. Expanded form is a way of writing numbers to see the math value of individual digits. The number 59.69 would be broken down as follows:

50 + 9 + 0.6 + 0.09

Each term represents a digit in the number: '5' is in the tens place, so it is represented as 50; '9' is in the ones place, so it is simply 9; '6' is in the tenths place, so it is represented as 0.6; '9' is in the hundredths place, so it is represented as 0.09.

When performing calculations, particularly in subjects such as chemistry, scientific notation is often used to express large or tiny numbers efficiently. For example, to enter a number in scientific notation into a calculator, you must know the correct process, which can vary based on the calculator model. Consulting the instructor or the calculator's manual is advisable if there are any doubts.

Furthermore, working with scientific notation involves understanding how to properly write and interpret the exponents, which indicate how many places the decimal point has been moved.

Answer:

After week 1 both the pets were having same weights of 600 gms.

Step-by-step explanation:

As given in the question weights of two pets are

Week   weight of pet 1(in gm)     weight of pet 2(in gm)

  0                       400                              500

  1                        600                              600

  2                       800                              700

  3                       1000                             700

In this table weights of the pets at 0 wk and 2 wk has been given only and we have calculated the weights by averaging their weights at 1 and 3 wk.

1). weight at 1 week = (weight at 0 wk + weight at 2 wk)/2

weight of pet 1 = (400+800)/2 = 600 gm

weight of pet 2 = (500 + 700)/2 = 600 gm

2).weight at 2 week = (weight at 1 wk + weight at 3 wk)/2

Therefore weight after 3 week = 2×weight after 2 week - weight after 1 week.

weight of pet 1 = 2×800 - 600 = 1600-600 =1000 gm

weight of pet 2 = 2×700 - 700 = 700 gm.

Now we have got the answer from the table formed that after 1 week both the pets were of same weight 600 gm.

Answer:

Percentage of employees have high satifaction of tthe job = 44.78%

Explanation:

In a company there are 67 employees

after survey only 30 employees give the high satisfaction feedback.

So, percentage of employess have high job satisfaction = [tex] \frac{Survey result}{Total employees} *100
[/tex]

= [tex] \frac{30}{67}*100 [/tex]

= 0.44776*100

= 44.78% Final answer

Final answer:

In right triangle PQR, sin Q = 9/41. To find cos P, we need to determine the length of the hypotenuse PR. Once we have PR, we can use the cosine function to find cos P.

Explanation:

In a right triangle, the sine of an angle is the length of the side opposite the angle divided by the length of the hypotenuse. So, in triangle PQR, sin Q = opposite/hypotenuse = PQ/PR = 9/41.

Since angles P and Q are complementary, their sum is 90 degrees. Therefore, angle P = 90 - angle Q.

Now, using the Pythagorean theorem for triangle PQR (PQ^2 + QR^2 = PR^2), we can find PR. Since PQ = 9 and QR = 41, we have: 9^2 + 41^2 = PR^2. Solving for PR gives us PR ≈ 41.297.

Now that we have PR, we can find cos P using the cosine function: cos P = adjacent/hypotenuse = QR/PR = 41/41.297 ≈ 0.993.

In a right triangle, sin Q = 9/41. To find cos P, we can use the identity cos(90 - x) = sin(x). So cos P = sin(Q) = 9/41.

In a right triangle, the sine of an angle is equal to the length of the side opposite the angle divided by the hypotenuse. In this case, sin Q = 9/41, which means that the length of the side opposite Q is 9 and the length of the hypotenuse is 41. Since P and Q are complementary angles, P = 90 - Q. Therefore, cos P = cos(90 - Q).

Using the identity cos(90 - x) = sin(x), we can substitute the value of Q to find cos P. cos P = sin(Q) = 9/41.

Answer:

the answer is (it cannot be determined from the information given)

The amount which would Jayce pay for an ambulance ride for the claim to the Jayce’s insurance company is $365.

The deductible amount is the amount which has to be paid by the customer against an insurance lost.

This amount is subtracted from the insurance amount, which one is claimed against the claim.

Jayce’s insurance company pays for 90% of the cost of an ambulance ride, after he pays a $250 deductible.

As the ambulance ride costs $1400. Thus the ambulance cost after the deductible is,

[tex]C=1400-250\\C=1150[/tex]

Here, the Jayce’s insurance company pays for 90% of the cost of an ambulance ride. Thus, the 10 percent amount should be pay by the Jayce's.

Now, the amount which is left after the insurance company paid to Jayce's is,

[tex]A=\dfrac{10}{100}\times1150\\A=115[/tex]

Hence, the total amount paid by Jayce is,

[tex]A=115+250\\A=365[/tex]

Hence, the amount which would Jayce pay for an ambulance ride for the claim to the Jayce’s insurance company is $365.

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Answer:

screenshot shows the answer but: n^2-6/n^2-2

Step-by-step explanation:

n^4-11n^2+30/n^4-7n^2+10
simplify the numerator
rewrite n^4 as (n^2)^2
and let u substititue for all occurences of n^2
u^2-11y+30/n^4-7n^2+10
factor u^2 - 11u+30 using the AC method.
(u-6)(u-5)/n^4-7n^2+10

(n^2-6)(n^2-5)/(n^2-5(n^2-2)

Cancel the common factor, and n^2-6/n^2-2 is your answer.

Excluded values/restrictions are n= -sqrt5 n= -sqrt2, also n= sqrt5 n= sqrt2

The required approximate value volume of the cone is v =  1206 `cm³.

Given that the Height of the cone = 8 m

The Radius of the cone =  12 m

We have to find,The approximate volume of the cone .

The volume of a cone is equal to one-third of the volume of a cylinder having the same base radius and height.

Where V is the volume, r is the radius and h is the height.

The volume of the cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

Where, π = 3.14

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3\\\\ V = \dfrac{1}{3} \pi (8)^3 (12) \: \rm unit^3[/tex]

V = 1206 cm³

Hence, The required approximate value volume of the cone is v =  1206 `cm³

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when you graph the equation the horizontal line is on Y=0 & 20

 answer y=0 & Y=20

The value of 32% of 18 is equal to 56.25.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 18 is 32% of the number w. The value of w will be calculated as:-

18 x  32/100 = w

Solve the above equation by mathematical operations to get the value of w,

18 x  32/100 = w

w = 56.25

Therefore, the value of w will be 56.25.

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Answer:

The answer is 12 cups.

Step-by-step explanation:

A family size container of macaroni holds 16 [tex]\frac{3}{4}[/tex] cup servings.

A chef prepares meals using 1-cup bowls.

So, the number of bowls, the chef can prepare from one family sized container is = [tex]16\times\frac{3}{4}[/tex]

= [tex]4\times3=12[/tex] bowls

Therefore, the answer is 12 cups.

Answer: the answer is D

Step-by-step explanation:

What is the answer for A?