2
Find the value of the variables.
b
30°
14
a
a =
b =
Help pls

Answer:

Step-by-step explanation:

\(Solution,\\Height(h)=5ft\\Wide(b)=18ft\\Deep(d)=2ft\\Now,\\volume=Height*Wide*Depth=5ft*18ft*2ft=180ft^{3}\)

Answer:

Volume is 180

Step-by-step explanation:

Formula for volume is

    V = L × W × H

    V = 5 × 18 × 2 = 180

MARK BRAINLIRST IF YOU UNDERSTAND

Answer:

\(5y^2 +6 + x\ cm\)

Step-by-step explanation:

The computation of the perimeter of the triangle is shown below:

As we know that

The Perimeter of the triangle is

= one side + second side + third side

\(= 3y^2 + 4 + 2y^2 - 5x + 6x + 2\\\\= 5y^2 +6 + x\ cm\)

Hence, the same is relevant

Answer:

21

Step-by-step explanation:

47.67 divided by 2.27 = 21

The annual rate of interest is approximately 6.5%.

To find the annual rate of interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal (initial investment)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the time in years

In this case, the initial investment (P) is $3200, the final amount (A) is $3343.34, the time (t) is 5 months (which is 5/12 years since we need the time in years), and we need to find the annual interest rate (r).

We can rearrange the formula and solve for r:

r = ( (A/P)^(1/(nt)) ) - 1

Substituting the given values:

r = ( (3343.34/3200)^(1/(1*(5/12))) ) - 1

r ≈ 0.065 or 6.5%

Therefore, the annual rate of interest is approximately 6.5%.

Learn more about interest. from

https://brainly.com/question/25720319

#SPJ11

The total derivative of a function is not necessarily one-to-one. The total derivative represents the change in a function with respect to all of its input variables.

If a function has multiple input variables, the total derivative is a matrix, called the Jacobian matrix, whose entries represent the partial derivatives of the function with respect to each input variable.

A function with a non-invertible Jacobian matrix is not one-to-one, since multiple input values can result in the same output value. For example, consider the function f(x,y) = (x^2, y^2). The total derivative of f is given by the Jacobian matrix:

| 2x 0 |

| 0 2y|

This matrix is non-invertible when x=0 or y=0, since it has a determinant of zero. Thus, the function f is not one-to-one when x=0 or y=0.

In terms of polynomials, the total derivative is important for determining whether a polynomial has multiple roots. A root of a polynomial is a value of the input variable that causes the polynomial to equal zero. If a polynomial has multiple roots, it is not one-to-one, since different input values can result in the same output value.

The total derivative of a polynomial can be computed using the power rule of differentiation. For example, consider the polynomial p(x) = x^3 - 6x^2 + 11x - 6. The total derivative of p with respect to x is:

p'(x) = 3x^2 - 12x + 11

If p'(x) has multiple roots, then p(x) has multiple roots as well. In this case, p'(x) has roots at x=1 and x=11/3, so p(x) has multiple roots at x=1 and x=3. Thus, the total derivative is useful for identifying when a polynomial is not one-to-one.

To know more about one-to-one function click here:

brainly.com/question/18154364

#SPJ4

Is total derivative  is one-to-one? explain the significance of this result in terms of the derivative on polynomials.

To construct the confidence interval, we first need to determine which distribution we need to use. Since the sample size is 41 (this is the number of books) and the standard deviation of the population is known we will use the normal distribution to construct our interval, that is, the interval is given by:

where:

We know that the point estimate of the mean is 78 ounces. The standard deviation of the mean is:

The z-value for a 95% confidence interval is 1.96, then we have:

Therefore, the confidence interval of the mean is:

a) 0.375

b) \(\frac{7}{8}\)

Answer:

Step-by-step explanation:

sum of all angles in quadrilateral = 360

So, x+48+48+132 =360

x =132

Step-by-step explanation:

In the given choices, both (D) n = 300 and (E) n = 312 satisfies the inequality. So for both these options, the inequality is true.

We can solve for n by adding 93 to both sides of the inequality:

n - 93 > 175

Adding 93 on both sides

n - 93 + 93 > 175 + 93

n > 268

Therefore, the value of n that makes the inequality true is greater than 268.In the given options, n = 300 and n = 312 satisfy this condition. So this is inequality is true for both cases. The answer choice that fits this is (D) n = 300 and (E) n =312.

To know more on inequality

https://brainly.com/question/28823603

#SPJ4

Step-by-step explanation:

0.02 is rational as it can be expressed as a finite decimal.

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

Step-by-step explanation:

25

=

a

b

−

2

10

=

a

b

1

There were 7 big dogs, 10 small dogs, and 13 average size dogs in total. The prices were $36.00 for big dogs, $12.50 for small dogs, and $14.00 for average size dogs.

Let's assume the number of big dogs is "x". The number of small dogs would then be "x + 3" since there were 3 more small dogs than big dogs.

The number of average size dogs would be 30 - (x + x + 3) = 30 - (2x + 3) = 27 - 2x.

The total revenue from the big dogs would be: x * $36.00.

The total revenue from the small dogs would be: (x + 3) * $12.50.

The total revenue from the average size dogs would be: (27 - 2x) * $14.00.

According to the given information, the total revenue from all the dogs is $559.00, so we can set up the following equation:

x * $36.00 + (x + 3) * $12.50 + (27 - 2x) * $14.00 = $559.00.

Now, let's solve this equation to find the value of "x" and calculate the number of dogs in each category.

36x + 12.5(x + 3) + 14(27 - 2x) = 559

36x + 12.5x + 37.5 + 378 - 28x = 559

20.5x + 415.5 = 559

20.5x = 559 - 415.5

20.5x = 143.5

x = 143.5 / 20.5

x ≈ 7

Therefore, there were approximately 7 big dogs.

The number of small dogs would be x + 3, which is 7 + 3 = 10.

The number of average size dogs would be 30 - (2x + 3), which is 30 - (2 * 7 + 3) = 30 - 17 = 13.

So, there were approximately 7 big dogs, 10 small dogs, and 13 average size dogs.

Learn more about average here: https://brainly.com/question/24057012

#SPJ11

The complete question is:

The dog wash washes 30 dogs for charity. they had different prices for the dogs. big dogs cost $36.00, small dogs cost $12.50, and average size dogs cost $14.00. they made $559.00. there were 3 more small dogs than big dog.How many big dogs, small dogs, and average size dogs did The Dog Wash wash for charity?

Answer: 37 degrees

Hope this helps :)

Step-by-step explanation:

(The box in the corner tells you this is a right angle)

A right angle is 90 degrees

90 - 53 = 37

Answer:

37 degrees

Step-by-step explanation:

Angle a is equivalent to 37 degrees because the picture signifies a right angle; all right angles are equal to 90 degrees. The equation to solve this would be: 53+x=90, you would solve this by subtracting 90-53=x; x=37

Hope this helps! If you find my answer helpful, please consider marking brainliest! If you have any questions, feel free to ask me in the comments!

Answer:

0

Step-by-step explanation:

The product of first 100 whole numbers will be 0. It is because 0 is also a whole number and any thing multiplied by 0 will give out answer to be 0,no matter how long the series is

Answer:

I think r = 89/5 as the answer

Answer:

r= - 8/9

5 - 9= 8/r + 5

-4 = 8/r +5

r= -8/9

plz mark me brainliest.

Answer:

8.93

Step-by-step explanation:

(4.5+7.5)-8 ÷ 2.6

(4.5+7.5)= 12

12-8÷2.6

8÷2.6 =3.07

12-3.07=

8.93

Answer:

------------------

Use circumference formula:

Find the radius by rearranging the formula and substituting 32 for C:

Answer:

5.09 in

Step-by-step explanation:

We know that the formula to find the circumference of a circle is:

C = 2πr

Here,

C → Circumference → 32 in

r → radius

Let us find the radius of the circle by substituting the given values.

\(\sf C = 2\pi r\\\\\sf 32 = 2\pi r\\\\Divide\:both\:sides\:by\:2 \pi \:and\:make\:r\:the \:subject\\\\\dfrac{32}{2 \pi} =\dfrac{2 \pi r}{2 \pi} \\\\\red{5.09 \:in=r}\)

Answer:

3.0

Step-by-step explanation:

The magnitude of an earthquake is given as:

\(M = log_{10}\frac{I}{S}\)

where I = intensity of earthquake

S = intensity of standard earth quake

When the intensity of the earthquake is 1000 times the intensity of a standard earth, that means that:

I = 1000S

Therefore:

\(M = log_{10}\frac{1000S}{S} \\\\M = log_{10}1000\\\\M = 3.0\)

The magnitude is 3.0

Answer: it’s B on edge

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

proof ↓

Answer:

18

Step-by-step explanation:

Explanation is in photo

To determine when the rate of change of population is fastest, we need to analyze the behavior of the derivative dP/dt. Since the population is at its carrying capacity when P = 75, the rate of change of population is fastest when P is farthest from its carrying capacity. In this case, it would be at the lowest population value, which is P = 0.

The differential equation given is:

dP/dt = 2(1 - P/150)P

To find the carrying capacity, we need to determine the equilibrium point of the population, where the rate of change is zero (i.e., dP/dt = 0).

Setting dP/dt = 0 in the differential equation:

0 = 2(1 - P/150)P

Simplifying:

0 = 2P - \(2P^2\)/150

0 = P - \(P^2\)/75

Rearranging:

\(P^2\)/75 - P = 0

Factoring out P:

P(P/75 - 1) = 0

This equation is satisfied when either P = 0 or P/75 - 1 = 0.

For P = 0, the population is at its lowest and there is no growth.

For P/75 - 1 = 0, solving for P:

P/75 = 1

P = 75

So, the carrying capacity of the population, in this case, is 75.

To learn more about differential click here: https://brainly.com/question/33433874

#SPJ11

find the carrying capacity of differential equation: dP/dt= 2(1-P/150)P Suppose p(t) represents population of species x at time t years. what would be the population when the rate of change of population is fastest?

The given probability distribution is a discrete probability distribution.

Given,

 x:    3        4        7

P(X=x): 0.19    0.3    0.51

Discrete probability distribution property;

∑P\((x_{i} )\) = 1

Discrete probability distribution;

The outcomes of events that can be counted or are finite are included in a discrete probability distribution. This differs from a continuous distribution, in which results can occur anywhere along a continuum. The binomial, Poisson, and Bernoulli distributions are typical examples of discrete distributions.

That is,

∑P\((x_{i} )\)

= 0.19 + 0.3 + 0.51

= 1

The property for a discrete probability distribution is thus satisfied.

So, the probability distribution that is being presented is a discrete probability distribution.

Learn more about discrete distribution property here;

https://brainly.com/question/15176220

#SPJ4

The given question is incomplete. Completed question is given below;

Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. x −3 4 7 P(X=x) 0.19 0.3 0.51 Answer First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision.

The number of toy cars are in 1,000 boxes is 25000 and the place value of 25 increases by 4 places to the left.

It should be noted that place value is used to know the value of the numbers that are given in a data.

In this case, toy company puts 25 toy cars in each box, the number of toy cars that are in 1,000 boxes will be:

= 25 × 1000

= 25000

Learn more about place values on:

brainly.com/question/1654524

#SPJ1

Answer:

17.5 units

Step-by-step explanation:

a² + b²= c²

9² + 15² = c²

81 + 225 = c²

c² = 306

c = √306

c = 17.5

The corrected exact values are cosine (5π/6) = -1/2, cosine (π/12) cannot be simplified further, sine (5π/6) = 1/2, sine (π/12) cannot be simplified further.

Let's correct the calculation of the exact values of the given trigonometric expressions:

1. Cosine (5π/6):

  The angle 5π/6 is in the second quadrant. The reference angle for 5π/6 is π/6. Since the cosine function is negative in the second quadrant, the exact value is -cos(π/6) = -1/2.

2. Cosine (π/12):

  The angle π/12 is not a special angle, so we cannot simplify it further using known exact values.

3. Sine (5π/6):

  The angle 5π/6 is in the second quadrant. The reference angle for 5π/6 is π/6. The sine function is positive in the second quadrant, so the exact value is sin(π/6) = 1/2.

4. Sine (π/12):

  The angle π/12 is not a special angle, so we cannot simplify it further using known exact values.

Therefore, the corrected exact values are:

cosine (5π/6) = -1/2,

cosine (π/12) cannot be simplified further,

sine (5π/6) = 1/2,

sine (π/12) cannot be simplified further.

To know more about function visit -

brainly.com/question/29035242

#SPJ11

Answer:

4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles

Step-by-step explanation:

Pattern blocks are a set of geometric shapes commonly used in math education. The set typically includes six different shapes: triangle, rhombus, trapezoid, hexagon, square, and equilateral triangle. Each hexagon in a pattern block set is made up of six equilateral triangles.

To make 4 hexagons using pattern blocks, we would need to calculate the total number of equilateral triangles required. Since each hexagon is made up of 6 equilateral triangles, we can multiply the number of hexagons by 6 to get the total number of equilateral triangles needed.

4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles

So, you would need 24 pattern block triangles to make 4 hexagons using pattern blocks.

Answer:

Let's use pattern blocks to visualize the situation and say that a hexagon is 1 whole. Since 3 rhombuses make a hexagon, 1 rhombus represents and 2 rhombuses represent . We can see that 6 pairs of rhombuses make 4 hexagons, so there are 6 groups of in 4.