A marine biologist is interested in the daily percent intake of a particular nutrient and how it relates to growth of tiger
shrimp. She finds the growth of the tiger shrimp, G, is dependent on the daily percent intake of this nutrient, X, and can be
modeled by the function
Go) = 2 +7x.​

Answer:

The top of the ladder touches the tree 14 ft above the ground.

Step-by-step explanation:

The Pythagorean Theorem incorporates the ladder length (17.5 ft), the distance of the base of the ladder from the base of the tree (10.5 ft), and the point where the ladder touches the tree (x ft):

x^2 + 10.5^2 = 17.5^2, or

x^2 + 110.25 = 306.25.  Then x^2 = 196, and x = +14  (Answer C)

The top of the ladder touches the tree 14 ft above the ground.

Answer:

Answer is below

Step-by-step explanation:

The sum of the measures of exterior angles on any shape is always 360 degrees.

If you meant to say the sum of the measures of the interior angles of a convex 65-gon, then it would be 11340 degrees.

(n-2)(180)      Substitute

(65-2)(180)    Subtract

(63)(180)        Multiply

11340

Sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]

An exterior angle is an angle between a side of a polygon and an extended side adjacent to it.

A polygon refers to any closed curve comprised of a set of connected sides such that no two sides cross.

Convex [tex]\boldsymbol{65-}[/tex]gon means a convex polygon with [tex]\boldsymbol{n}[/tex] sides.

The sum of measures of any polygon is equal to [tex]\boldsymbol{360^{\circ}}[/tex]

So, the sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]

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Answer:

arc HG = 40°

Step-by-step explanation:

The inscribed angle HFG is one half the measure of its intercepted arc, that is

3x + 2 = [tex]\frac{1}{2}[/tex] (5x + 10) ( multiply both sides by 2 )

6x + 4 = 5x + 10 ( subtract 5x from both sides )

x + 4 = 10 ( subtract 4 from both sides )

x = 6

Thus

arc HG = 5x + 10 = 5(6) + 10 = 30 + 10 = 40°

Answer:

C

Step-by-step explanation:

Multiply 5/8 by 4 in which you get 2.5 which is 5/2 and simplify, then you get answer C

Answer:

The answer is D.

Step-by-step explanation:

Given that Larry wrong 5% of the questions and he correct the remaining 95%. So in order to find how many questions he correct, first, you have to convert the percentage to decimal by dividing it by 100 :

[tex]95\% = \frac{95}{100} = 0.95[/tex]

Next, you have to multiply by the total number of questions :

[tex]0.95 \times 80 = 76 \: questions[/tex]

Answer:

The pre-image

Step-by-step explanation:

Hope this helps ya!

Answer:

[tex]15516.3163[/tex]

Step-by-step explanation:

[tex]8500\cdot(1.034)^{18}=15516.3163[/tex]

If Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516

Using this formula

Amount=P(1+r)n

Where:

p represent principal=$8,500

r represent rate=3.4% or 0.034

n represent number of years=18 years

Let plug in the formula

Amount=$8,500(1+0.034)∧18

Amount=$8,500(1.034)∧18

Amount=$8,500(1.82544)

Amount=$15,516

Inconclusion if Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516

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Answer:

7)x=20 8)x=19

Step-by-step explanation:

7)4x-40=2x

4x-2x=40

2x=40

x=20

8)

2x+19=3x

3x-2x=19

x=19

Answer:

Both

Step-by-step explanation:

The correct option is (2, -1) satisfies the inequality, but (- 4, 2) does not.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

(2, - 1) and (-4, 2) and inequality 2x – 3y > 4

Now, (2, -1)

2(2) - 3(-1)

4 + 3

7>4

and, take (-4, 2)

2(-4) - 3(2)

= -8 -6

= -14 < 4

Hence, (2, -1) satisfies the inequality, but (- 4, 2) does not.

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Answer:

see below

Step-by-step explanation:

cos(420°) =  cos 60 = 1/2

sin(450°) = sin 90 = 1

Answer:

See below in bold.

Step-by-step explanation:

cos (420) = cos (420 - 360)

= cos 60

= 1/2.

sin 450 = sin(450-360)

= sin 90

=  1.

Answer:

y=46.445

x=24.04

Step-by-step explanation:

rule for first triangle which is  right isosceles triangle with angles 30-60-90

sin 30 = opp/hypt.

0.5= opp/34

opp=17 which is the height

the part of y in the first triangle = a^2+b^2=c^2

a^2= 17^2 , b^2=y , c^2 =34

y ( first triangle )= √867=29.445

second triangle is right angle triangle 45-90-45

x= 24.04

sin 45= opp/hypt.

1/√2 =17/x

x= 17*√2 = 24.04

solving for other part of y in the right triangle

h= y = 17

the whole base y= 29.445+17 = 46.445

Answer:

the player can expect to turn over a black card about 400 times.

Step-by-step explanation:

the way to solve a probability question is like this:

there are 52 total cards, out of those 52 cards, half of them are black cards.

that means 1/2 of 52 = black cards

if the plays 800 times, and half of the cards are black, the player can expect to have a 50% chance of flipping over a black card.

800/50 = 400.

therefore the player can expect to have flipped a black card 400 times.

Answer:

x= 9

Step-by-step explanation:

(3x + 4) and 50 are complementary angle

=> (3x + 4) + 50 = 90

-> 3x+4 = 40

-> 3x = 36

-> x= 9

Answer:

the 3rd one

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

0.86 x 100 = 86

Answer:

100

Step-by-step explanation:

Tendrias que sacar la x pasar 86 a dentro lo cual te daria x= 86÷ 0.86

lo cual te daria 100

Answer:

The function has a hole when x = 0 and a vertical asymptote when x = 4.

Step-by-step explanation:

The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.

The coordinates from the given table (-0.2, -0.238), (-0.1, -0.244), (0.1, -0.256), (0.2, -0.263), (3.7, -3.3) (3.8, -5), (3.9, -10), (3.99, -100) and (4.01, 100).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the table, we have:

f(0) = undefined

f(4) = undefined

One of these values (the lesser value of x i.e. x = 0) is a hole, while the other is a vertical asymptote

Using the above as a guide, the correct statement is the function has a hole when x = 0 and a vertical asymptote when x = 4.

The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.

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Answer: 9852.034562

Step-by-step explanation:

Answer:

  =9847.04

Step-by-step explanation:

The diameter is 112

The radius is 1/2 of the diameter

r = d/2 = 112/2 =56

The area of a circle is

A = pi r^2

  = 3.14 (56)^2

  =9847.04

Answer:

!!B!!

Step-by-step explanation:

What is the scale factor used to

enlarge an 8" by 10" original

photo to a 16" by 20" image?

A. 2

B. 2.5....is the answer

C. 0.5

D. 1.6

Answer:

A

Step-by-step explanation:

8x2= 16   10x2=20

Maya=10

Sam=3

Josh=12

Hope this helps.

: )

Answer:

im still alli

Step-by-step explanation:

Step-by-step explanation:

12 x 2 = 24 + x = 24x - 6 = 18x

Hope This Is Correct For You

please see the attached picture for full solution

hope it helps

good luck on your assignment..

Answer:

Here's what I get.

Step-by-step explanation:

Assume the figure is like Image 1  below.

We must dilate each point by a scale factor of 3 centred at (2, −7).

1. Determine the transformation rules

Each point moves to three times its original distance from the centre.

Let P = a point on the figure and

let O = the centre of dilation

and L = the distance from the point to the centre. Then

L = P - O

Three times that distance is  

3L = 3P - 3O

We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O.

P' = 3L + O = 3P - 3O + O = 3P + 2O

If P is at (x,y) and O is at (h,k), the transformation rule is

(x,y) ⟶ (3x - 2h, 3y - 2k)

2. Make a table of the new coordinates

[tex]\begin{array}{cclc}\textbf{Point} & \mathbf{(x,y)} &\textbf{Image Coordinates } \mathbf{(3x - 2h, 3y - 2k)}&\mathbf{(x',y')} \\A & (-2,-7) & (-6,-21) -2(2,-7) = (-6 - 4, -21 + 14) & (-10,-7) \\B & (0,-4) & (0,-12) -2(2,-7) = (0 - 4, -12 + 14)& (-4,2) \\C & (3,-3) & (9,-9) -2(2,-7) = (9 - 4, -9 + 14) & (5,5) \\D & (4,-5) & (12,-15) -2(2,-7) = (12 - 4, -15 +14) & (8,-1) \\\end{array}[/tex]

3. Graph the new shape

You should get a graph like Fig. 2.

The rays from Point O pass through corresponding points in the two shapes, so this is a dilation about O.

Point B is two units left of O and three units up.

Also, B' is six units left and nine units up, so the scale factor is three.

Answer:

[tex]3x^2-13x+4[/tex]

Step-by-step explanation:

[tex](x - 4)(3x - 1)[/tex]

[tex]3x^2-1x-12x+4[/tex]

[tex]3x^2-13x+4[/tex]

Answer:

No

Yes

No

No

Step-by-step explanation:

Answer:

x = 8, y = 1.

Step-by-step explanation:

2x + 4y = 20

3x + 2y = 26      Multiply this equation by -2:

-6x - 4y = -52    Add this to the first equation:

-4x = -32

x = -32/-4

x = 8.

Plug x = 8 into the first equation:

2(8) + 4y = 20

4y = 20 - 16 = 4

y = 1.

Answer:

Yes.

Step-by-step explanation:

Apples needed             =130

apples in the kitchen    =68

130-68= 62 to complete for all the students

1 (3 dozens x 12) = 36 apples x 2= 72

68 +72=140 apples available for all the students

Answer:

Yes

Step-by-step explanation:

The reason for this is because 1 dozen is 12. And the schools bought 6 dozens of apples. If you multiply 36 by 2 you get 72. Then if you add 72+68 you get 140 apples, but the school only needed 130 apples. So yes the school has enough apples for grade 2.

Hope it helps

Answer:

100 (+1) x 2^t     = 100 (+2et) as we plus and we multiply before squaring the years.

Step-by-step explanation:

You cna now work this out as +1 represents the 100% + 200% sum.

Answer:

C) [tex] A = 100e^{2t} [/tex]

Step-by-step explanation:

Continuous growth:

[tex] A = Pe^{rt} [/tex]

r = rate as a decimal

r = 200% = 2

P = initial value = 100

[tex] A = 100e^{2t} [/tex]

Answer:

y=-x+1

Step-by-step explanation:

Answer:

Option C is the correct answer.

Step-by-step explanation:

Given:

The coordinates of the point A and B are (-5,-1) and (4,1)

The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.

Thus, we have;

m=1 and m+n=4

We need to determine the coordinates of the point P(x,y)

x - coordinates of the point P:

The x - coordinates of the point P can be determined using the formula

x=(m/m+n)(x₂ - x₁)+ x₁

Substituting the values, we get;

x= 1/4(4+5)-5

x = 9/4-5

x = -11/4

Thus, the x - coordinate of the point P is -11/4

y - coordinate of the point P:

The y - coordinate of the point P can be determined using the formula,

y=(m/m+n)(y₂ - y₁)+ y₁

Substituting the values, we get;

y= 1/4(1+1)-1

y = 2/4-1

y= -2/4

y= -1/2

Thus, the y - coordinate of the point P is -1/2

Therefore, the coordinates of the point P is (-11/4, -1/2)

Hence, Option C is the correct answer.

please mark me brainliest!

Answer:

C

Step-by-step explanation:

I just did it on edge