Write an equation for the description.
Ten times the sum of half a number x and 8 ls 12.

Pls awnser Im bad at algebra

The statement “there exists a function f such that f(x) < 0, f’(x) > 0, and f”(x) < 0 for all x” is false.

To understand why this statement is false, we must first understand what the symbols mean. The symbol f(x) refers to a function of x, and the symbols f’(x) and f”(x) refer to the first and second derivatives of the function, respectively.

The statement is saying that for all x, the function f(x) will be less than 0, the first derivative f’(x) will be greater than 0, and the second derivative f”(x) will be less than 0.

To show that this statement is false, we need to find an example of a function where this is not the case. Let’s consider the function f(x) = x³. At x = 0, this function is equal to 0, and so f(x) < 0 is not true. Additionally, the first derivative at x = 0 is f’(0) = 0, which is not greater than 0. Thus, the statement is false.

We can also show that this statement is false by looking at the graph of the function f(x). A function with the properties given in the statement would have a graph that looks like a “U” shape, with a minimum point at the origin. However, this is not the case for the function f(x) = x³. The graph of this function is a parabola, which does not have the desired shape.

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Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

0.86016949152

Step-by-step explanation:

This is the answer because 29 divided by 59 is 0.49152542372 and 42 divided by 24 is 1.75 and 0.49152542372 multiplied by 1.75 is 0.86016949152

The standard deviation for the given data is 5

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

Given that,

the data,

X            Xₙ - X₀            (Xₙ - X₀)²

18            -7                      49

21             -4                      16

24            -1                        1

24            -1                        1

25             0                       0

31              6                      36

32            7                     49  

175                                  152

X₀  = 175/7 = 25

Variance  =    (Xₙ - X₀)²/(n-1)

                 =  152/(7-1)

                 =   25.33

Standard deviation =  √Variance

                                =  √25.33

                                =   5.03

Hence, the standard deviation is 5

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Answer:

3x-10=x+40

X=25

Angels are 65

Ans:c

Using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

So, using calibration on the x-axis, the approximate age of the neanderthal fossils came out to be 40,110 years old.

Therefore, using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

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The correct question is given below:
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil?

a. 5,730 years old

b. 34,380 years old

c. 40,110 years old

d. 45,840 years old

Answer:

(6,3)

Step-by-step explanation:

x+3y=15

6+3×3=15

6+9=15

15=15

again

4x+2y=30

4×6+2×3=30

24+6=30

30=30

Hence the answer is (6,3)

Answer:

C.) 4,3

Step-by-step explanation:

The given system of equations is:

x + 3y = 15

4x + 2y = 30

The first equation can be rewritten as:

y = (15 - x)/3

Substituting this expression for y into the second equation gives:

4x + 2((15 - x)/3) = 30

Solving for x, we get:

x = 4

Substituting this value of x back into the first equation gives:

y = (15 - 4)/3 = 3

Therefore, the solution to the system of equations is (4,3).

Answer:

5.50x>85

if you divide 85 by 5.50 you get 15.4545455

so, you would need to walk 16 dogs to earn at least $85

Step-by-step explanation:

Answer:

16 dogs,

If you divide 85÷5.50=15.4545454545, rounding this to the nearest whole number, you get 16 dogs

Hope I helped!

Answer:

2.80 years

Step-by-step explanation:

beacause it is simple that it will take option B . You

don't have to worry .

Answer:

y = 45

Step-by-step explanation:

70 and y + 25 are corresponding angle and corresponding angles are equal when we have parallel lines cut by a transversal

70 = y+25

Subtract 25 from each side

70-25 = y

45 = y

\(answer \\ y = 45 °\\ solution \\ y + 25 = 70(being \: corresponding \: angles) \\ or \: y = 70 - 25 \\ y = 45 °\\ hope \: it \: helps\)

The expression equivalent to the given polynomial expression (-40²-58) + (-20d - ² + ²) + (-8² + 6ad) is option B. -Sa+ tad + SOC-S0² +22² + Sad + 58.

To see why, let's break down the original expression step by step and compare it to option B:

Original expression: (-40²-58) + (-20d - ² + ²) + (-8² + 6ad)

Simplify the terms within each grouping:

-40² = 1600

-20d = -20d

-² = -²

² = ²

-8² = -64

6ad = 6ad

Combine the simplified terms:

1600 + (-58) + (-20d) + (-²) + (²) + (-64) + (6ad)

Now, let's compare it to option B: -Sa+ tad + SOC-S0² +22² + Sad + 58.

If we assign the following correspondences:

-1600 = -Sa

-58 = tad

-20d = SOC

-² = -S0²

² = 22²

-64 = Sad

6ad = 58

We can see that all the terms in the original expression match the terms in option B, with the signs and variables appropriately assigned. Therefore, option B, -Sa+ tad + SOC-S0² +22² + Sad + 58, is the expression equivalent to the given polynomial expression. Therefore, Option B is correct.

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Francisco teaches group lessons to all of the violin and viola students at the Scott School of Music. All of his classes have the same number of students.

What is the greatest number of students he can have in each class We can determine the greatest number of students that Francisco can teach in each class by finding the greatest common factor (GCF) of the total number of violin and viola students at the school.

Suppose there are a total of m violin students and n viola students. Then the total number of students at the school is m + n. Let's find the GCF of m and n in order to determine the greatest number of students Francisco can teach in each class.

GCF of m and n will give us the number of students that can be divided equally among all the classes. Following the steps to find GCF :

Step 1 :List down all factors of m and n

Step 2 :Identify the common factors of both m and n

Step 3 :Find the largest common factor m and n. We find the factors of m and n below: Suppose m = 36 and n = 72.Therefore, the greatest common factor of m and n is 36.So, the greatest number of students that Francisco can teach in each class is 36.

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Answer:

x= c/a-by/a

Step-by-step explanation:

You can also name an angle by its vertex point. In #3, you can name the angle as "angle B"

The linear transformations for the given values are:

t(1) = 0, t(x) = -8, t(x^2) = -3, t(ax^2 + bx + c) = -3a - 8b

To find the values of t(1), t(x), t(x^2), and t(ax^2 + bx + c), we need to use the given definitions of the linear transformation t.

We have:

t(-2x^2) = 2x^2 - 3x

t(0.5x - 3) = -2x^2 - 2x - 4

t(3x^2 + 1) = -3x^2

To find t(1), we substitute x = 0 into t(-2x^2) since -2x^2 represents the constant term in the polynomial:

t(-2(0)^2) = 2(0)^2 - 3(0)

t(0) = 0 - 0

t(0) = 0

Therefore, t(1) = 0.

To find t(x), we substitute x = 1 into t(0.5x - 3) since 0.5x - 3 represents the linear term in the polynomial:

t(0.5(1) - 3) = -2(1)^2 - 2(1) - 4

t(-2.5) = -2 - 2 - 4

t(-2.5) = -8

Therefore, t(x) = -8.

To find t(x^2), we substitute x = 1 into t(3x^2 + 1) since 3x^2 + 1 represents the quadratic term in the polynomial:

t(3(1)^2 + 1) = -3(1)^2

t(4) = -3

t(4) = -3

Therefore, t(x^2) = -3.

To find t(ax^2 + bx + c), we substitute the given expression into the definition of the linear transformation t:

t(ax^2 + bx + c) = a*t(x^2) + b*t(x) + c*t(1)

t(ax^2 + bx + c) = a*(-3) + b*(-8) + c*0

t(ax^2 + bx + c) = -3a - 8b

Therefore, t(ax^2 + bx + c) = -3a - 8b.

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We can use the polar equation r = f(θ) to sketch the curve. However, since you have only provided the value of θ as −π/6, we cannot determine the shape of the curve without knowing the equation of the function f(θ).

In order to sketch the curve, we need to plot at least three points on the polar coordinate plane. We can do this by selecting three different values of θ, plugging them into the polar equation, and finding the corresponding values of r. We can then plot these points and connect them to form the curve.

Answer:
1. First, recall that in polar coordinates, a point is represented by (r, θ), where r is the distance from the origin, and θ is the angle measured counter-clockwise from the positive x-axis.
2. In this case, the polar equation is given as θ = -π/6, which means the angle is fixed at -π/6 radians, or -30 degrees.
3. Since r can take any value, this curve is a straight line consisting of all points that are located at a -30-degree angle from the positive x-axis. To visualize this, imagine a ray starting at the origin and rotating -30 degrees in the clockwise direction.

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The area of the running track to the nearest tenth of a yard is 1456 yards

The length of the field is 100 yards with a width of 40 yards.

Notice that the two semicircles on both ends form a circle with diameter 40 yards. Since it's diameter is 40, then it's radius is 20. We can get the length of the rectangle by subtracting two 20 from 100 or subtracting it's diameter to the entire length 100:

= 100-20-20

=100-40

=60

Since we formed a rectangle with two semicircles on both ends, we have the length of the rectangle 60 yards and the width 40 yards.

We first get the circumference of the circle.

C=πd

=(3.14)(40)=125.6

Then we get the measure of the two lengths of the rectangle which is 60

60+60=120

We multiply 145.6 by 10 and we get 1456

Therefore, the area of the running track to the nearest tenth of a yard is 1456 yards.

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Answer:

3570 square yards.

Step-by-step explanation:

A=  ℓh-ℓh+πr square-πr square

A=60 * 100 - 40 * 100 + π(30) square - π(20) square

A= 6000-4000+900π-400π

A=2000+500π

A=2000+500*3.14

A=3570 square yards.

The value of p in the binomial expansion is 1920.

Here we have been given

\((a-kx^m)^n = \frac{243}{32} - \frac{405}{4}x^{\frac{3}{2}} + 540x^3 - 1440x^\frac{9}{2} + px^6 - qx^\frac{15}{2}\)

Now to calculate the value of p we need to calculate the values of n, m, k, and a using the Binomial Expansion formula.

Now we have 6 terms over here. According to the rule, the power of an expression is

no. of terms in expansion - 1

= 6 - 1

= 5

Now the first term is

\(C^5_0 a^5 = \frac{243}{32}\)

\(or, a^5 = \frac{3^5}{2^5}\)

Hence we get

a = 3/2

Now the second term should be

\(C^5_1 a^4 (-kx^m) =- \frac{405}{4}x^\frac{3}{2}\)

\(-5k\frac{81}{16}x^m =- \frac{405}{4}x^\frac{3}{2}\)

\(or, kx^m = 4x^\frac{3}{2}\)

Hence here we see that k = 4 and m = 3/2

Now we can calculate p by

\(C^5_4 a^1 (-kx^m)^4 = px^6\)

\(5 X \frac{3}{2} X 256x^6 = px^6\)

\(or, 1920x^6 = px^6\)

Hence the value of p is 1920

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To find the particular solution to this differential equation using undetermined coefficients, we first need to guess the form of the particular solution. Since the right-hand side of the equation is a sinusoidal function, our guess will be a linear combination of sine and cosine functions with the same frequency:

y_p(t) = A sin(2t) + B cos(2t)

We can then find the derivatives of this guess:

y'_p(t) = 2A cos(2t) - 2B sin(2t)
y''_p(t) = -4A sin(2t) - 4B cos(2t)

Substituting these into the differential equation, we get:

(-4A sin(2t) - 4B cos(2t)) + 41(2A cos(2t) - 2B sin(2t)) - 53(A sin(2t) + B cos(2t)) = -580 sin(2t)

Simplifying and collecting terms, we get:

(-53A + 82B) cos(2t) + (82A + 53B) sin(2t) = -580 sin(2t)

Since the left-hand side and right-hand side of this equation must be equal for all values of t, we can equate the coefficients of each trigonometric function separately:

-53A + 82B = 0
82A + 53B = -580

Solving these equations simultaneously, we get:

A = -23
B = -15

Therefore, the particular solution to the differential equation is:

y_p(t) = -23 sin(2t) - 15 cos(2t)

Adding this to the complementary solution (which is just a constant, since the characteristic equation has no roots), we get the general solution:

y(t) = C - 23 sin(2t) - 15 cos(2t)

where C is a constant determined by the initial conditions.
To solve the given differential equation using the method of undetermined coefficients, we need to identify the correct form of the particular solution.

Given the differential equation:
y'(t) + 41y(t) - 53 = -580sin(2t)

We can rewrite it as:
y'(t) + 41y(t) = 53 + 580sin(2t)

Now, let's assume the particular solution Y_p(t) has the form:
Y_p(t) = A + Bsin(2t) + Ccos(2t)

To find A, B, and C, we will differentiate Y_p(t) with respect to t and substitute it back into the differential equation.

Differentiating Y_p(t):
Y_p'(t) = 0 + 2Bcos(2t) - 2Csin(2t)

Now, substitute Y_p'(t) and Y_p(t) into the given differential equation:
(2Bcos(2t) - 2Csin(2t)) + 41(A + Bsin(2t) + Ccos(2t)) = 53 + 580sin(2t)

Now we can match the coefficients of the similar terms:
41A = 53 (constant term)
41B = 580 (sin(2t) term)
-41C = 0 (cos(2t) term)

Solving for A, B, and C:
A = 53/41
B = 580/41
C = 0

Therefore, the particular solution is:
Y_p(t) = 53/41 + (580/41)sin(2t)

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Total coats should the store plan to sell this winter is 952.

Last winter, a store sold 408 coats in 3 months. This winter, the store plans to sell coats for 4 months.

What is sell?

Determine the total cost of all the purchased units. To find the cost price, divide the total cost by the quantity of units purchased. To get the final price, use the formula for selling price (SP), which is: SP = CP + Profit Margin. The cost of the commodity will then be increased by the margin to determine the proper pricing. Retail math describes the mathematical techniques or formulae utilised in the sales industry. It is earning money or receiving change in the most basic sense. Business owners, retailers, managers, and sales representatives all utilise retail math in their daily work.

3month = 408 coats

1 month = 408/3 =136 coats

Then, 4 months = 136*4 = 544 coats

Total coats should the store plan to sell this winter = 544+408 = 952.

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Answer: 9 hours

Step-by-step explanation:

The inequality that shows the minimum number of hours, n, that Angela should work as a babysitter to earn enough to buy a series of books is:

4n + 24 ≥ 60

Explanation:

4n represents the amount of money Angela earns as a babysitter for n hours.

24 is the amount of money Angela already has saved.

The sum of these two amounts (4n + 24) must be greater than or equal to the cost of the books, which is $60.

Simplifying the inequality:

4n + 24 ≥ 60

4n ≥ 36

n ≥ 9

Therefore, the minimum number of hours Angela should work as a babysitter to earn enough to buy a series of books is 9.

Answer:

x=y-4                                          -10x+3y=5

y=x+4                                     y=10/3x+5/3

        x+4  =10/3x+5/3              

x=1

y=1+4                                      y=10/3(1)+5/3

y=5                                                    y=5

so

x=1

y=5

(1,5)

Answer:

$1,920

$10,880

Step-by-step explanation:

Amount marlene earns per year = $12,800

Percentage of taxes = 15%

how much money is paid in taxes?

Amount of tax Marlene pays = 15% of $12,800

= 15/100 × $12,800

= 0.15 × $12,800

= $1,920

how much money is left for Marlene to spend?

Amount left for Marlene to spend = Amount marlene earns per year - Amount of tax Marlene pays

= $12,800 - $1,920

= $10,880

Answer:

Step-by-step explanation:

the answer is the third one

Answer:

179 divided by 5 equals 35 with a remainder of 4.

Quotient: 35

Remainder: 4

\((x+4)(x-1) = x^{2} -x+4x-4=x^{2} +3x-4\)

ok done. thank to me :>

Answer:

divide 300 feet by 50 which is 6, divide 125 ft by 50 which is 2.5. Therefore your dimensions are 6 in by 2.5 in

if you're in putting in the computer it may want 2.5 in fraction form which is 2 1/2 in or in improper fraction form 5/2 in

Step-by-step explanation:

Answer:

x50

Step-by-step explanation: