Which organism below is a producer?


a Lynx (animal)

b White spruce (Tree)

c Red squirrel (animal)

d Spruce grouse (animal)

We have the following:

AA stands for "angle, angle" and it means that triangles have two of their angles equal.

SAS means "side, angle, side" and it means that we have two triangles where:

• the relationship between two sides is the same as the relationship between two other sides

• and we also know that the included angles are equal.

SSS means "side, side, side" and it means that we have two triangles with the three pairs of corresponding sides in the same proportion.

15/5 = 3

12/4 = 3

Sides proportional

Therefore, the answer is B. SAS because the two side are proportional and the included angle is congruent

Answer:

8.4897959183673

Step-by-step explanation:

If Catarina’s boat has come untied and floated away on the lake. She is standing atop a cliff that is 35 feet above the water in a lake. Approximately the distance from the cliff is Catarina’s boat is : 63.6ft.

Distance can be defined as how far an object is from another object.

Now let find the distance:

AE/CD = BC/DE

Hence,

5.5/3.5 = 10/DE

Cross multiply

AE = 350/5.5

AE = 63.6ft

Therefore we can conclude that the distance is 63.6ft.

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Answer:

(B) y = f(x - 3) is the answer.

please thanks and follow me.

Answer:

BE careful check that this is the right question for you this one is b there is another that looks similar that is a

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

100 - 99 = 1.

He left 1% of pizza.

Therefore, the answer is no.

Answer:

no ◇◇

Step-by-step explanation:

I hoped I helped ◇◇

Step-by-step explanation:

5/6+1/4

3/12+10/12=13/12=

well You need to find number which can divide into six and four and the smallest to make finding It easy. 12 is the smallest

Answer:

1 1/12

Step-by-step explanation:

find lcm

lcm of 6,4 = 12

10+3/12

13/12

1 1/12

The gradient of the line K that is perpendicular to the line H that has a gradient of 7 is -1/7

Perpendicular lines are lines that form a right angle (90 degrees angle) at the point of their intersection, in which the slope of one of lines is the negative reciprocal of the slope of the other line.

The gradient of the line H = 7

The relationship between the lines K and line H is; Line K is perpendicular to the line H

The slope of a line a, which is perpendicular to another line b with slope m is; -1/m

Therefore, the slope of the line K is -1/7

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Answer:

-21

Step-by-step explanation:

Just replace b by 7 and x by -2

-b + 7x = -(7) + 7(-2) = -7 + -14 = -7-14 = -21

Answer:

42 dollars

Step-by-step explanation:

Answer:

i think the answer is B

i am sorry if this is wrong

Step-by-step explanation:

Answer:

260

Step-by-step explanation:

The z score for a normal distribution is given by the formula
\(z = \dfrac{X-\mu}{\sigma}\)

where
X is the data point, μ is the mean and  σ is the standard deviation

Given

Mean μ = 500
Standard deviation σ = 80
z-score = -3

and plugging in these values for z-score formula we get

\(-3 = \dfrac{X -500}{80}\)

==>
-240 = X - 500
-240 + 500 = X

260 = X

or

X = 260

Answer:

466 student

Step-by-step explanation:

The number of students that like at most 2 kinds of these chocolate candies can be gotten from subtracting the number of students that like more than 2 candies from the total number of high school students.

Since 34 like all three kinds of chocolate candy, hence:

Number of students that like at most 2 kinds of these chocolate candies = 500 - 34 = 466

466 students like at most 2 kinds of these chocolate candies

The calculated  of the integral expression \(\int\limits^3_1 {xf''(x)dx\) is 4

From the question, we have the following parameters that can be used in our computation:

Also, we have

\(\int\limits^3_1 {xf''(x)dx\)

This means that we integrate the above expression twice

The first integration gives

\(\int\limits^3_1 {xf''(x)dx} = xf'(x)\right]^3_1 - \int^3_1 f'(x)dx\)

Next, we have

\(\int\limits^3_1 {xf''(x)dx} = xf'(x)\right]^3_1 - \left[f(x)\right]^3_1\)

When the equation is expanded, we have

\(\int\limits^3_1 {xf''(x)dx} = 3f'(3) - f(3) - (f'(1) - f(1))\)

Recall that f(1) = 8 and f(3) = −4 ;  '(1) = 5, and f '(3) = 1

When these values are substituted in the above equation, we have the following:

\(\int\limits^3_1 {xf''(x)dx} = 3(1) - (-4) - (5 - 8)\)

Evaluate the expressions in bracket

\(\int\limits^3_1 {xf''(x)dx} = 3 + 4 - 3\)

So, we have

\(\int\limits^3_1 {xf''(x)dx} = 4\)

Hence, the value of the derivative is 4

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Answer:

10

Step-by-step explanation:

\(\displaystyle \int^3_1xf''(x)\;\text{d}x\)

To evaluate the given definite integral, use integration by parts.

\(\boxed{\begin{minipage}{4.6 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}\)

Begin by working out which part should be u and which part should be dv/dx. As it is easier to differentiate x, and integrate f''(x), then:

\(\textsf{Let}\;u=x\)

\(\textsf{Let}\;\dfrac{\text{d}v}{\text{d}x}=f''(x)\)

Differentiate u with respect to x:

\(\dfrac{\text{d}u}{\text{d}x}=1\)

Integrate dv/dx to find v:

\(\displaystyle v=\int_a^b f''(x)\; \text{d}x=\left[\vphantom{\dfrac12}f'(x)\right]^b_a\)

Substitute the values into the integration by parts formula and evaluate the definite integral:

\(\begin{aligned}\displaystyle \int^3_1 x f''(x)\:\text{d}x &=\left[\vphantom{\dfrac12}xf'(x)\right]^3_1-\int^3_1 f'(x)\:\text{d}x\\\\&=\left[\vphantom{\dfrac12}xf'(x)\right]^3_1-\left[\vphantom{\dfrac12}f(x)\right]^3_1\\\\&=\left(3\cdot f'(3)-1\cdot f'(1)\right)-\left(f(3)-f(1)\right)\\\\&=3f'(3)-f'(1)-f(3)+f(1)\end{aligned}\)

Substitute the given values of f(1) = 8, f(3) = -4, f'(1) = 5 and f'(3) = 1:

                      \(\begin{aligned}&=3f'(3)-f'(1)-f(3)+f(1)\\\\&=3\cdot 1-5-(-4)+8\\\\&=3-5+4+8\\\\&=10\end{aligned}\)

Therefore, the evaluation of the given integral is 10.

Answer:

$224.75

Step-by-step explanation:

In order to solve this, multiply the total number of weeks with the cost per week:

15.5 weeks * $14.50 / 1 week =

15.5 weeks / 1 week * $14.50 = ==> join like terms

15.5/1 * $14.5 =  ==> cancel the weeks unit

15.5 * $14.5 = ==> simplify

$224.75 for 15.5 weeks

Answer:

k= 74/23 ,y=45/23

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

(6+3) divided by (4-5)

9/-1

-9

Answer:

100 GROUPS OF TEN

Step-by-step explanation:

THERE IS 1000 ML IN 1L

The volume of the cylinder is 769.3 cubic feet.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given a cylinder,

radius = 7 feet

height = 5 feet

volume of cylinder = πr²h

V = πr²h

V = 3.14*(7²)*5

V = 769.3 cubic feet

Hence the volume of a cylinder is 769.3 cubic feet.

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Answer:

Step-by-step explanation:

one think

Answer:

option A is correct answer of this question

hope it helps

Answer:

3:7

Step-by-step explanation:

i hope this helps

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

Step-by-step explanation:

if 2 is 3 away from 5 then the answer must be 8 and if 6 is 6 away from 12 just add 6 it must be 18

so answer is (8,18)

The shaded area is approximately 113.04 mm² (to 3 significant figures).

To calculate the shaded area, we need to determine the area of the semicircle and subtract the area of the circle.

The radius of the semicircle is half the diameter, so it is 24 mm / 2 = 12 mm.

The area of a semicircle is given by (π × r²) / 2, where r is the radius.

Substituting the values, the area of the semicircle is (π × 12²) / 2 = (π × 144) / 2 = 72π mm².

Now let's calculate the area of the circle.

The radius of the circle is half the diameter of the semicircle, which is 12 mm / 2 = 6 mm.

The area of a circle is given by π × r², where r is the radius.

Substituting the values, the area of the circle is π × 6² = π × 36 = 36π mm².

Finally, we can calculate the shaded area by subtracting the area of the circle from the area of the semicircle:

Shaded area = Area of the semicircle - Area of the circle

= 72π - 36π

= 36π mm²

To find the answer to 3 significant figures, we can approximate π as 3.14:

Shaded area ≈ 36 × 3.14 mm²

≈ 113.04 mm²

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The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.

A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).

{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}

In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}

In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.

{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}

In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}

In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.

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The sum of the product is sin(13.2u) + sin(6.8u) = 0.5sin(8.2u) - 0.5sin(1.8u) = 0.5sin(20u) - 0.5sin(7u).

Product in math is the answer to a multiplication problem. It is calculated by multiplying two or more numbers, variables, or expressions together. Product is also used to describe the result when two or more sets of factors are multiplied together. The product of two or more numbers is equal to the sum of their individual factors.

The sum of sin(13.2u) and sin(6.8u) can be written as a product by using the trigonometric identity of the sine function: sin(A) + sin(B) = 2sin((A+B)/2)cos((A-B)/2).

Therefore, sin(13.2u) + sin(6.8u) = 2sin((13.2u + 6.8u)/2)cos((13.2u - 6.8u)/2) = 2sin(20u/2)cos(6.4u/2) = 2sin(10u)cos(3.2u)

Using the double-angle identity of the sine function: sin(2A) = 2sin(A)cos(A), we can rewrite the above equation as 2sin(10u)cos(3.2u) = 2sin(5u)[2sin(5u)cos(3.2u)] = 4sin(5u)sin(3.2u)cos(5u)

Finally, using the product-to-sum identity of the sine function: sin(A)sin(B) = 0.5[cos(A-B) - cos(A+B)], we can rewrite the above equation as 4sin(5u)sin(3.2u)cos(5u) = 0.5[cos(1.8u) - cos(8.2u)] = 0.5sin(8.2u) - 0.5sin(1.8u).

Therefore, the sum of sin(13.2u) and sin(6.8u) can be written as a product as follows:

sin(13.2u) + sin(6.8u) = 0.5sin(8.2u) - 0.5sin(1.8u) = 0.5sin(20u) - 0.5sin(7u).

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Answer:

the answer will be y=2x

Step-by-step explanation: