9. If h(x)=√x-3 +5, then for what value(s) of 10
x does h(x) = 3?

Answer:

iF X IS POSITIVE THEN -X IS ALWAYS NEGATIVE

IF X IS NEGATIVE, THEN -X IS ALWAYS POSITIVE

THE NEGATIVE OF A POSITIVE IS ALWAYS POSITIV

THE NEGATIVE OF A NEGATIVE IS ALWAYS POSITIVE

Step-by-step explanation:YS

−x is always equal to a negative integer is an incorrect statement.

The student is not correct.

A number system is defined as a system of writing to express numbers.

−x is always equal to a negative integer when x is positive integer

−x is always equal to a positive integer when x is negative integer

Which means the value of -x changes on the integer of x.

If x is positive then -x will be always negative, If x is negative then -x is positive.

The negative of a negative integer is positive and the negative of positive integer is negative.

Hence  −x is always equal to a negative integer is an incorrect statement.

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Answer:

The answer is -9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

40-52+3

=> -12+3

=> -9

Therefore, the distance from the base of the tower to the point where the cable reaches the ground is approximately 14.2 meters when rounded to one decimal place.

We can solve this problem using the Pythagorean theorem. The communication tower forms a right triangle with the ground and the cable acting as the hypotenuse. Let's denote the distance from the base of the tower to the point where the cable reaches the ground as "d" (unknown).

According to the Pythagorean theorem:

\(d^2 + 32^2 = 35^2\)

Simplifying the equation:

\(d^2 + 1024 = 1225\)

Subtracting 1024 from both sides:

\(d^2 = 1225 - 1024\\d^2 = 201\)

Taking the square root of both sides:

d = √201

Calculating the value:

d ≈ 14.177

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Answer:

Table B

Step-by-step explanation:

we are given 4 tables and we want to find the table that represents a function.

well recall, The conditions of a relation to be a function

A function F from a set A to a set B is a relation with domain A and co-domain B that satisfies the following two properties:

more precisely,if F is a function from a set A to a set B, then given any element x in A, property (1) from the function definition guarantees that there is at least one element

of B that is related to x by F and property (2) guarantees that there is at most one such

element.

at first rewrite the input and output of Table A,B ,C and D as ordered pairs

\(A = \{(5,3),(5,2),(4,1) \}\)

\(B= \{(1,2),(3,2),(5,3) \}\)

\(C = \{(0,0),(1,2),(1,3) \}\)

\(D= \{(4,2),(4,3),(4,4) \}\)

Table A, C and D does not represent a function because it does not satisfy property (2). The ordered pairs (5, 3) and (5, 2) in A, (1,2) and (1,3) in C and (4,2),(4,3),(4,4) have the same first element but different second elements.

Table B represents a function: Each inputs {1, 3, 5} is related to some outputs {2, 2, 3} and no inputs {1, 3, 5} is related to more than one outputs {2, 2, 5}.

hence, it's our answer

Input is noted as domain.

Output is noted as range .

How to spot out relation and function?

Now

#Table A

5 is repeated in domain .

#Table B

2 is repeated is range but it's unique for each domain

#Table C

1 is repeated in domain

#Table D

There is only 4 in domain

Table B is correct

Answer:

Step-by-step explanation:

Let b = bagels , d = donuts

Rasha bought 4 plain bagels and 2 chocolate donuts for a total of $8.70

We can write this as :

4b + 2d = 8.70

Scott bought 3 chocolate donuts for $2.55

3d = 2.55

First, let's find out the cost of 1 donut.

To do this, divide 2.55 by 3.

1d = 2.55/3 =0.85  (1 donut costs $0.85)

Substitute the value of d ( d = 0.85 ) into the equation 4b + 2d = 8.70

4b + 2d = 8.70

4b + 2 (0.85) = 8.70

4b + 1.7 = 8.70

Subtract 1.7 from both sides.

4b = 8.70 - 1.7

4b = 7

Divide both sides by 4 to find how much one bagel costs.

b = 7/4 = 1.75

Therefore, one bagel costs $1.75

Consequently, it may be said that that "Alternating Series test cannot be used because b_n = 2" is untrue.

We can in fact use the Alternating Series Test to assess whether the provided alternating series (sum_n=1infty (-1)n frac23n + 2) is converging.

According to the Alternating Series Test, if a series satisfies both of the following requirements: (1) a_n is positive and decreases as n rises; and (2) lim_ntoinfty a_n = 0, the series converges.

In this instance, (a_n = frac2 3n + 2)). We can see that "(a_n)" is positive for all "(n"), and that "(frac23n + 2)" lowers as "(n") grows. In addition, (frac 2 3n + 2) gets closer to 0 as (n) approaches infinity.

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The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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The expression for the no. of sweets Sue has is (13 - x) and for Tony it is

(18 + x)/2.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Sue has 18 sweets and Tony also has 18 sweets.

Sue gives Tony x sweets, so she now has 18 - x sweets, So Tony has 18 + x sweets.

Sue then eats 5 of her sweets which is 18 - x - 5 = 13 - x sweets.

Tony then eats half of his sweets which is (18 + x)/2 sweets.

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Answer:

3 or 6/2

Step-by-step explanation:

4--2 (you add there is a subtraction of a negative) over or divided by 3-1

Answer:

\(slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{4 - - 2}{3 - 1} \\ = \frac{6}{2} = 3 \\ thank \: you\)

Answer:

9.8

Step-by-step explanation:

Answer:

28.79 cm.

Step-by-step explanation:

The perimeter of a semicircle is equal to the sum of the diameter (which is twice the radius) and half of the circumference of the circle.

The diameter of the semicircle is 2 × 5.6cm = 11.2cm.

The circumference of a full circle with radius 5.6cm is 2π × 5.6cm = 11.2π cm.

Therefore, the circumference of the semicircle is 1/2 of the circumference of the full circle, which is 1/2 × 11.2π cm = 5.6π cm.

The perimeter of the semicircle is the sum of the diameter and the circumference, which is:

11.2cm + 5.6π cm ≈ 28.79cm (rounded to two decimal places)

Therefore, the perimeter of the semicircle is approximately 28.79 cm.

Answer:

pi ( 5.6 ) + 11.2 or approximately 28.79291 cm

Step-by-step explanation:

The outside of the semicircle or the perimeter is 1/2 of the circumference and the length that closes the circle is the diameter.

Perimeter = 1/2 C + d

                 = 1/2 *pi*d + d

The diameter is 2 times the radius.

                 = 1/2 ( pi) * (2r) + 2r

                  = pi r + 2 r

                   = pi ( 5.6 ) + 11.2

Approximating pi, we get approximately 28.79291

Answer:

you have to solve the system:

1)W=L-6

2)W*L=72

so (L-6)*L=72

L^2-6L-72=0

(L-12)*(L+6)=0

so the answers for L are 12 and -6,but we only consider 12 cause there can't be -6miles. so L=12

and W=12-6, so W=6.

Answer:

Width = 6mi

Length = 12mi

Step-by-step explanation:

Let's say our length = x

Since the width is 6 miles less than the length, width = x - 6

The area of rectangle is width x length so just substitute your values

(x - 6)(x) = 72

therefore: x^2 - 6x = 72

*subtract 72 to form a quadratic equation

x^2 - 6x - 72 = 0

*solve by factorising

(x+6)(x-12) = 0

therefore x = -6 or 12

Since you can't have a negative length, x = 12

thus, our length is 12mi

To find the width, just subtract 6 which = 6mi

So: length = 12mi and width = 6mi

The Normal model is a good approximation for the sampling distribution.

a) According to the Central Limit Theorem, the theoretical mean and standard deviation for a sample size of 20 should be 0.05 and 0.02, respectively. For a sample size of 100, the theoretical mean and standard deviation should be 0.05 and 0.01, respectively.

b) The observed mean and standard deviation for a sample size of 20 was 0.052 and 0.021, respectively. For a sample size of 100, the observed mean and standard deviation was 0.051 and 0.012, respectively. These values are fairly close to the theoretical values.

c) Looking at the histograms in Exercise 1, I would be comfortable using the Normal model as an approximation for the sampling distribution at a sample size of 100.

d) The Success/Failure Condition states that the sample size should be large enough for the sampling distribution of the sample proportions to be approximately normal. Since I chose a sample size of 100, which satisfied the condition, I can be confident that the Normal model is a good approximation for the sampling distribution.

The sample size of 100 is large enough for the sampling distribution of the sample proportions to be approximately normal, and the observed mean and standard deviation is close to the theoretical values. Therefore, the Normal model is a good approximation for the sampling distribution.

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Answer:

The 1st one: 3(2n + 3)

Step-by-step explanation:

First it said 3 TIMES, meaning 3 (multiplication)

Then it said the SUM of twice a NUMBER and 3.

Meaning the "SUM" means addition, TWICE means 2 and a NUMBER means a Variable. And 3.

So the first one seems to fit the description.

A 4 5 10 does not make a triangle.

The triangle inequality theorem states that for any given triangle, the sum of the two sides is always greater than the  third side. The Triangle is a polygon with three line segments as its boundaries.

Suppose A, B and C are three sides of a triangle, then by using triangle inequality rule, A + B > C then A, B and C make a triangle.

Here,

A = 4

B = 5

C = 10

Let A + B = 4 + 5 = 9

9 < 10

⇒  A + B < C

Hence, 4 5 10 does not make a triangle.

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Answer:

x^3+9x^2+27x+27

Step-by-step explanation:

Answer: Make 7 jumps that are each 0.2 units long. You end at 1.4, which is the product of 7 and 0.2.

Answer = C

because all are not in set pairs only no. C is pair of set

The answer is  (f·g)(-1) = 14.To find the value of (f·g)(-1) with the given functions, we first need to find the value of f·g and then substitute -1 into the function.

Let's start by finding the value of f·g, which is the product of f(x) and g(x):
f(x) = x² + 2x - 1
g(x) = 4x - 3
f(x) · g(x) = (x² + 2x - 1) · (4x - 3)
= 4x³ - 3x² + 8x² - 6x - 4x + 3
= 4x³ + 5x² - 10x + 3
Now that we have the function for f·g, we can substitute -1 into it to find the value of (f·g)(-1):
(f·g)(-1) = 4(-1)³ + 5(-1)² - 10(-1) + 3
= -4 + 5 + 10 + 3
= 14
Therefore, (f·g)(-1) = 14.

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Answer:

Answer:

(5, 20)  

Step-by-step explanation:

We can find the slope of the line

m = (y2-y1)/(x2-x1)

   = (40-0)/(10-0)

   = 40/10

   =4

Since the line goes through (0,0) the y intercept is 0

y = mx+b

y = 4x

Lets check the points  by substituting into the equation

40, 10)     10 = 4*40   10 =160  no

(–5, –10)    -10 = 4*-5    10 = -20   no

(5, 20)       20 = 4*5    20 = 20  yes

(–10, –20)    -20 = 4*-10    -20 = -40   no

Step-by-step explanation:

Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)

Answer

c

Step-by-step explanation:

egde2020

The grams can be converted to moles and vice versa, the conversion factor used is molar mass.

       W/M = n

       where,

       n = number of moles

       W = mass given

       M stands for molar mass.

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Answer:

2.05m

Step-by-step explanation:

Answer:

d=-21

Step-by-step explanation:

Answer:

there is no additional information shown

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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The printed price of the desk on the furniture store is $173. It can be solved by the concept of cost price and selling price.

What is cost price and selling price?

Cost price is the price of the object at which it is purchaged and selling price is the price of the object at which it is sold. If cost price is more than the selling price then the seller will earn a loss. If the cost price is less than then the selling price then the seller will earn a profit.

The cost price of the furniture = $144

Now, 20% of cost price is,

\(=\$ 144\times\frac{20}{100}\\=\$28.8\)

Now, price of furniture on the store = Cost price + 20% of cost price

                                                           = $144 + $28.8

                                                           = $172.8$

Round off the price                           = $173

Hence, the printed price of the desk on the furniture store is $173.

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Answer:

31,772

Step-by-step explanation:

10,000(1.08) = 10,800

Do this 14 more times, your answer times 1.08. You will end up with 31,721.6911418... round it and u will get $31,772

As given by the question

There are given that the numbers;

Now,

First make a table of numbers and their frequency.

So,

Now,

From the dot plot of the given numbers and their frequency.

So,

The dot plot of the given number is shown below: