Translate to an algebraic expression : Eight less than the square of the sum of a number and seven.

Translate to an algebraic expression : Eleven more than the cube of a number.

Answer:40

Step-by-step explanation:

40 beacause you have to round to the nearset 10

Answer:

which language it is ?i can't understand it

Step-by-step explanation:

please ask in english language

Answer:4

Step-by-step explanation:

Answer:

x=-2

y=9

Step-by-step explanation:

3=y+3x ---- A

-x+3y=29 ----B

step 1. rearrange equation A, so you have the "y" variable on one side

3=y+3x

-3x     -3x

3-3x=y

y=3-3x ---- C

step 2. Substitute equation C into equation B in place of "y"

-x+3(3-3x)=29 ---foil

-x+9-9x=29 -- collect like terms

-10x+9=29

       -9     -9

   -10x=20

      ÷-10     ÷-10

         x=-2

Step 3. Substitute x=-2 into equation C to find y

y=3-3(-2)

y=3+6

y=9

Check you answer by subsituting x=-2 and y=9 back into equation A and B

The weights of the four puppies in ascending order, from least to greatest, are as follows: 8 and 1/8, 8.25, 8 and 1/2, 8.625. Therefore, the correct option is A.

To determine the weights of the four puppies in ascending order, we compare the decimal and fractional parts separately.

The given weights are:

8.25

8 and 1/8

8.625

8 and 1/2

Comparing the fractional parts, we can order them as:

1/8 < 1/2

Now, looking at the decimal parts, we have:

8.25 < 8.625

Combining both the fractional and decimal parts, we can list the weights in ascending order:

8 and 1/8, 8.25, 8 and 1/2, 8.625

Therefore, option A, which lists the weights in this order, is correct.

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The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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Answer:

Second choice: i

Square root of -1 is an imaginary number, represented as i.

Please mark as BRAINLIEST! Thanks!

Answer:

\(\frac{4}{90}\)

Step-by-step explanation:

\(\frac{4}{9}\)  - \(\frac{4}{10}\)

to subtract the fractions we require them to have a common denominator

the LCM of 9 and 10 is 90

= = \(\frac{4(10)}{9(10)}\) - \(\frac{4(9)}{10(9)}\)

= \(\frac{40}{90}\) - \(\frac{36}{90}\)

= \(\frac{40-36}{90}\)

= \(\frac{4}{90}\)

Answer:

155,000

Step-by-step explanation:

(1):(25000) = (6.2):(155000)

Chow,...!

Answer:

anser is D.

Step-by-step explanation:

have a nice day

A distance-time graph below shows a car travelling then the Speed of the car is 8.88 miles per hour

Speed is the time rate at which an object is moving along a path,

A distance-time graph below shows a car travelling

We know that speed is distance by time

From the graph the distance is 80 and time is 9

Speed= 80/9

=8.88 miles per hour

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Answer:

10b

Step-by-step explanation:

Answer:

answer 2 probably

Step-by-step explanation:

I don’t reallly know but I would chose answer 2

Answer:

ABC-DBA-DAC

Step-by-step explanation:

You must write angles in order.

Angle A in ABC is the right angle, same as D in DBA and D in DAC.

Angle B in ABC equals to B in DBA and A in DAC.

Angle C in ABC equals to A in DBA and C in DAC.

Answer:

Step-by-step explanation:

Because CB = 6 cm, we can find CD

Use Triangle CDB.

<BCD = <BCA - <ACD

<BCD = ?

<BCA = 90

<ACD = 60

<BCD = 90 - 60

<BCD = 30

Cos 30 = CD / CB

CD = Cos(30) * BC

CD = 5.196 cm

<A = 90 - ACD

<ACD = 60

<A = 90 - 60

<A = 30

Sin(<A) = CB / AB

AB = CB / sin(<A)

AB = 6 / 0.5

AB = 12

Area =1/2 CD * AB

Area = 1/2 * 5.196 * 12

Area = 31.18

The magnitude of Fowler's operating leverage can be calculated using the formula: Operating Leverage = % Change in Operating Income / % Change in Sales

To find the magnitude, we need to compare the percentage change in operating income to the percentage change in sales.

However, the information provided does not include any percentage changes, so we cannot calculate the exact magnitude.

The given options are: 1.35, 1.29, 1.15, and 2.88. Since we cannot calculate the exact magnitude, we can only choose the closest option based on the available information.

Without any additional context or data, it is not possible to determine the correct answer. However, based on the given options, the nearest choice to 1.35 would be the correct answer.

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For CM ⊥ AB, ∠3 = ∠4 we prove the proof of triangles Congruence ,△AMC ≅ △BMC by ASA Congrauance postulates.

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.

We have, CM is prependicular to the side AB of ∆ABC. As we know, prependicular is vertical or upright line and meet at right angle to other line or plane. So, m∠AMC = m∠BMC = 90°

but we have, m∠AMC = ∠1 and m∠BMC = ∠2 So, ∠1 = ∠2 --(1)

Also, we have specify that ∠3 = ∠4 ----(2)

Now , see the figure present above we conclude that, side CM in ∆AMC = CM in ∆BMC ( common side) --(3)

Now, using equation (1),(2) and(3) two sides and one angle of ∆AMC is equals to corresponding sides and angle of ∆BMC . Then ,by ASA Congrauance postulates, △AMC ≅ △BMC.

Hence, the required proof is completed.

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To verify if f(x) = x³ - 7x² + 14x - 6 has a root in [2.5, 3.2], we can check the sign changes of f(x) at the endpoints of bisection the interval.

f(2.5) = (2.5)³ - 7(2.5)² + 14(2.5) - 6 ≈ -1.375

f(3.2) = (3.2)³ - 7(3.2)² + 14(3.2) - 6 ≈ 8.288

Since f(2.5) is negative and f(3.2) is positive, there is a sign change, indicating that f(x) has a root in the interval [2.5, 3.2]. Using the bisection method, we can find p3 for f(x) on [2.5, 3.2] by iteratively bisecting the interval and checking the sign change of f(x) at each iteration .First iteration: a1 = 2.5, b1 = 3.2

p1 = (a1 + b1) / 2 = (2.5 + 3.2) / 2 ≈ 2.85

f(p1) = f(2.85) ≈ 2.424 Since f(p1) is positive, the root is in the interval [2.5, 2.85]. So, we update:

a2 = 2.5, b2 = 2.85

Second iteration:

p2 = (a2 + b2) / 2 = (2.5 + 2.85) / 2 ≈ 2.675

f(p2) = f(2.675) ≈ 0.175

Since f(p2) is positive, the root is in the interval [2.5, 2.675]. So, we update:

a3 = 2.5, b3 = 2.675

Third iteration:

p3 = (a3 + b3) / 2 = (2.5 + 2.675) / 2 ≈ 2.5875

f(p3) = f(2.5875) ≈ -0.569

Since f(p3) is negative, the root is in the interval [2.5875, 2.675]. So, we update:

a4 = 2.5875, b4 = 2.675

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Answer:

A(-3,4)

Step-by-step explanation:

The solution of the inequality y < 2x + 3 will be;

⇒ (3, 0)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ y < 2x + 3

Now,

Since, The inequality is,

⇒ y < 2x + 3

Hence, The solution of the inequality is,

For point (- 3,4);

⇒ y < 2x + 3

⇒ 4 < 2 × - 3 + 3

⇒ 4 < - 3

Which is not true.

For point (3,0);

⇒ 0 < 2x + 3

⇒ 0 < 2 × 3 + 3

⇒ 0 < 9

Which is true.

Thus, The solution of the inequality y < 2x + 3 will be;

⇒ (3, 0)

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In a population growth model for rabbits, foxes, and humans, the sum norm of the coefficient matrix is 4.5 and the max norm is 4.4. Using these norms, we can bound the size of the population vector after one period.

(a) To find the coefficient matrix A, we identify the coefficients of the variables R, F, and H in the given model equations. Once we have A, we can calculate its sum norm by adding up the absolute values of its elements and its max norm by taking the maximum absolute value among its elements. (b) Given the population vector p = [10, 10, 10], we can calculate p'Ap by multiplying p' (transpose of p) with A and then with p. The resulting value will provide the bounds for the size of p'Ap in both sum and max norms. Comparing this value with the norm bounds will indicate how close they are. (c) To determine the sum norm bound for the population vector after four periods, p(4), we need to multiply A by itself four times and calculate the sum of the absolute values of its elements. This sum will give us the desired sum norm bound.

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Answer:

350

Step-by-step explanation:

14 divided by 0.04 (4% in decimal form) is 350

Answer:

True

Step-by-step explanation:hi

We have proved that f o g is uniformly continuous on R, as desired.

F(g(x)) or (f g)(x) denotes the combination of the functions f(x) and g(x), where g(x) acts first. It brings together two or more functions to produce a new function.

To prove that the composite function f o g is uniformly continuous on R, we need to show that for any ε > 0, there exists a δ > 0 such that for any x, y ∈ R,

| x - y | < δ implies | (f o g)(x) - (f o g)(y) | < ε

We can start by using the uniform continuity of g to choose a δ1 > 0 such that for any x, y ∈ R,

| x - y | < δ1 implies | g(x) - g(y) | < ε

Now, we can use the uniform continuity of f with ε replaced by δ₁ to choose a δ₂ > 0 such that for any u, v ∈ R,

| u - v | < δ₂ implies | f(u) - f(v) | < δ₁

Finally, we can choose δ = δ₂ to show that for any x, y ∈ R,

| x - y | < δ implies | (f o g)(x) - (f o g)(y) | < ε

To see why this is true, let's assume that | x - y | < δ. Then, by the definition of the composite function,

(f o g)(x) - (f o g)(y) = f(g(x)) - f(g(y))

Now, since | g(x) - g(y) | < δ₁, we know that | f(g(x)) - f(g(y)) | < ε, by the choice of δ₁. And since | x - y | < δ₂ implies | g(x) - g(y) | < δ₁, we have shown that

| x - y | < δ₂ implies | (f o g)(x) - (f o g)(y) | < ε

Therefore, we have proved that f o g is uniformly continuous on R, as desired.

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Martina used 16 pounds of type A coffee in her blend.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

Let's assume that Martina used x pounds of type A coffee in her blend. Since the blend used four times as many pounds of type B coffee as type A, the amount of type B coffee used would be 4x pounds.

The total cost of the blend is given as the sum of the cost of type A and type B coffee, so we can write:

Cost = Cost of type A + Cost of type B

= x* + 4x*

Simplifying the expression, we get:

Cost = ( + 4) x

We are given that the total cost of the blend is , so we can write:

( + 4) x =

Solving for x, we get:

x = / ( + 4)

Substituting the given values, we get:

x = / ( + 4)

= / ( + 4)

= / ( + 4)

Therefore, Martina used 16 pounds of type A coffee in her blend.

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The weight of the man at the summit of Mt. Everest is 833 kg·m/s^2

The weight of an 85kg man at the summit of Mt. Everest can be calculated using the formula: Weight = mass × acceleration due to gravity.

The acceleration due to gravity is approximately 9.8 m/s^2. Therefore,

In terms of units, this can also be expressed as 833 Newtons (N). The weight represents the force with which the man is pulled towards the center of the Earth.

The weight of an object is directly proportional to its mass. In this case, the mass of the man is given as 85kg. By multiplying the mass by the acceleration due to gravity, we can calculate the weight of the man at the summit of Mt. Everest.

It's important to note that the weight of an object can vary depending on the location due to the variation in the acceleration due to gravity at different elevations. At higher altitudes, such as the summit of Mt. Everest, the acceleration due to gravity is slightly lower than at sea level. However, for this calculation, we have used the standard acceleration due to gravity of approximately 9.8 m/s^2 for simplicity.

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Answer:

to solve what

Step-by-step explanation:

A measure of center refers to a statistical means of determining the center of a dataset.

A measure of variation refers to a way of determining the spread of data points in a dataset.

A measure of relative standing is a way of comparing the individual data points to the remaining dataset.

To measure the center for a dataset with outliers, the most appropriate way to obtain an accurate result will be by using the median.

A median is a form of measurement that is unaffected by outliers or extreme values. This measurement can help a person to obtain the exact values for the center point.

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The sample mean exceeding $37,000 has a 45.5% chance of occurring.

The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the chance of a given event by the probability that it won't.

We can estimate this binomial problem with a normal distribution as the sample size is bigger than 10, which is sufficient.

Determine the z-score first:

z = (x - μ) / σ = (37000 - 36000) / 9000 =0.111

The likelihood P(x > 37000$) = P(x 37000$) 1,

Consequently, in order to find out, we must consult a normal distribution table.

P(z < 0.111) = 0.5441

And

P(x > 37000$) = 1 - 0.5441 = 0.4559

There is therefore a 45.5% chance that the sample  $37,000 is the mean.

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Answer:

c. 35

Step-by-step explanation:

... ......................

Answer:

35

Step-by-step explanation:

Just did test