Find the sum: 2.234 + 0.01

Answer:

x<3.3

Step-by-step explanation:

Add all and subtract by 18.7 and instead of negative you make it positive

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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The statement about the linear equation 3a + 1/3(6a −9) = 1/2(10a − 6) that is true is: "The equation has an infinite number of solutions." (Option B)

A linear equation is defined as an equation with a maximum of one degree. A nonlinear equation is one with a degree greater than or equal to two.

On the graph, a linear equation looks like a straight line. On the graph, a nonlinear equation creates a curve.

To justify the above answer, we state the linear equation above:


3a + 1/3(6a −9) = 1/2(10a − 6) ; Simplified by opening the brackets, we have

3a + 2a − 3 = 5a − 3; collecting like terms on the left side, we have

5a -3 = 5a -3

Because 5a -3 = 5a -3, the expression holds true regardless of what integer or value a represents. Hence, it has an infinite number of solutions.

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Answer:

i believe its 2.9 feet. 2 feet 10 inches 51/64 of an inch

ok

F point = (- 6, 3)

Perpendicular to (1, 0) (0, -3)

1.- Find the slope of the perpendicular line

m = (-3 - 0) / (0 - 1)

m = -3/-1

m = 3

3.- Find the slope of the new line. Perpendicular the the original line.

m = -1/3

4.- Find the equation of the new line

y - y1 = m(x - x1)

y - 3 = -1/3 (x + 6)

y - 3 = -1/3 x - 6/3

y = -1/3x - 2 + 3

y = -1/3x + 1

5.- Result

y = -1/3x + 1 in the form slope y-intercept

36, 60, 84 Rule=+12

54, 216, 324 Rule=+54

69, 35, 1 Rule=-17

382, 297, 210 Rule=-43

The sum of the sequence based on the function Sn = ( -1 )n + 1 will be -6.

The formula for finding the nth term in an arithmetic sequence given as:

= a + (n - 1)d

Here, Sn is given as ( -1 )n + 1. This is used to illustrate the sum in the sequence. Based on the function given, let's assume that n = 5. Therefore, the 5th term will be:

= (-1)n + 1

= (-1)5 + 1

= (-1)6

= -6

Here is the complete question:

Find the 5th term of a sequence given the function Sn = ( -1 )n + 1.

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Heracio used the computer 4 more hours to do homework than shop online.

To find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.

Let's start by calculating the number of hours Heracio spent on each activity:

Shopping: 10% of 40 hours = 4 hours

Videos: 15% of 40 hours = 6 hours

Homework: 20% of 40 hours = 8 hours

Games: 20% of 40 hours = 8 hours

Social media: 25% of 40 hours = 10 hours

Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:

8 hours (homework) - 4 hours (shopping) = 4 hours

Therefore, Heracio used the computer 4 more hours to do homework than shop online.

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Answer:

65 boletos.

Step-by-step explanation:

Sabemos que el precio para un niño es 6 dólares, y el precio para un adulto es 9,20 dólares. Además, el cine se vendió 146 boletos, y recibió 1135,20 dólares.

Vamos a resolver este problema con un sistema, usando 2 varibles.
No sabemos cuantos boletos de niño el cine vendió, entonces el cine vendió <<x>> boletos de niños. Tampoco sabemos cuantos boletos de adultos vendió, entonces vendió <<y>> boletos de adultos.

En total, vendió 146 boletos; el número de los boletos de niños con el número de los boletos de adultos es 146 boletos.

Usando las variables, x + y = 146 boletos.

Esta es una de las equaciones que necesitamos.

Porque todos los boletos de niños es 6 dólares, si el cine vendió <<x>> boletos, su total de ventas (de boletos de niños) es <<6x>> dólares.

Lo mismo es verdad para los boletos de adultos; todos los boletos de adultos es 9,20 dólares, entonces si vendió <<y>> boletos, el total de ventas de boletos de adultos es <<9,20y>> dólares.

En total, las ventas de los boletos de niños + las ventas de los boletos de adultos es 1135,20 dólares.

O, con variables, es 6x + 9,20y = 1135,20

Nuestra sistema es:

x + y = 146

6x + 9,20y = 1135,20

Ahora necesitamos resolver esta sistema.

Podemos usar la sustitución. Vamos a resolver una de las eqaciones para una variable, y después, usar el valor de esa variable para encontrar la solución para una de las variables, y después, usar  esa solución para encontrar la solución de la otra variable.

Podemos mover <<y>> al otro lado.

x + y = 146 => x = 146 - y

Ahora, podemos sustituir <<x>> para 146 - y en 6x + 9,20y = 1135,20

6(146-y) + 9,20y = 1135,20

Multiplica.

876 - 6y + 9,20y = 1135,20

Combina los términos que son los mismos.

876 + 3,20y = 1135,20

Mueva 876 al otro lado.

876 + 3,20y = 1135,20 => 3,20y = 259,20

Divide todo por  3,20.

3,20y/ 3,20 = 259,20/ 3,20

y = 81

Entonces, el cine vendió 81 boletos de adultos.

Recuerda, esta (81 boletos de adultos) no es lo que necesitamos. Necesitamos cuantos boletos de niños vendió.

Entonces, podemos substituir <<y>> con 81 en x = 146 - y. Recuerda que <<x>> es cuantos boletos de niños vendió.

x = 146 - y => x = 146 - 81 => 65

Entonces, el cine vendió 65 boletos de niños.

Answer:

SSS

Step-by-step explanation:

In this problem, we have that

the center of the dilation is pointed A ----> because the intersection segments c

so

the scale factor is equal to

scale factor=AB'/AB

substitute given values

scale=2/10

84.13% of the printing jobs will be acceptable.

The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.

The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.

The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.

To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.

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Answer:

Step-by-step explanation:

The area of the given figure is  51.63 m².

What is an Area ?

Area in geometry refers to the volume occupied by a flat shape on a plane, such as a polygon, circle, or ellipse. A shape's area is always expressed in square units.

The area of the given figure = area of given triangle + area of given rectangle + area of given semi circle.

(I) area of given triangle

  = 1/2 × base × height

  = 1/2 × 3 × 5

  = 7.5m².

(II) area of given rectangle

 = length × breadth

  = 6 × 5 = 30m².

(III) area of given semi circle

  = πr²/2

  here, r = 3 m ( 6m/2)

So, πr²/2 = (3.14 × 3² )/2

                = 28.26/2

                = 14.13 m².

Hence, The area of the given figure = 7.5 + 30 + 14.13

                                                            = 51.63 m².

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The product of the two linear functions is:

(fg)(x) =  8x^2 + 10x  - 3

A general linear funuction can be written as:

f(x)= a*x  +b

Let's say that our functions are:

f(x) = ax + b

g(x) = cx + d

The sum is:

(f + g)(x) = ax + b + cx + d = (a + c)x + (b + d)

(f - g)(x) = ax + b - cx - d  =(a - c)x + (b - d)

And we know that:

(f+g)(x)=-6x-2 and (f-g)(x)=-2x+4.

Then we can write:

(a + c)x + (b + d) = -6x - 2

(a - c)x + (b - d) = -2x + 4

Then we have 4 equations:

a + c = -6

b + d = -2

a  - c= -2

b - d = 4

Solving these we can get:

a = -4

c = -2

b = 1

d = -3

(you can check these values)

The two linear functions are:

f(x) = -4x + 1

g(x) = -2x - 3

The product is:

(fg)(x) = (-4x + 1)*(-2x - 3) = 8x^2 + 12x - 2x - 3

                                       = 8x^2 + 10x  - 3

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Answer: I believe it’s 10 ft

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

x is -7.5 or -14/2 or -7½

Step-by-step explanation:

- Supposing y varies directly with x

\( { \tt{y \: \alpha \: x}} \\ \: \: \: \: { \tt{y = kx}} \)

[k is a constant of proportionality (k ≠ 0)]

- When y is 6, x is -2

\( \: \: \: \: \: \: \: \: \: { \tt{6 = (k \times ^{ - }2) }} \\ { \tt{6 = - 2k}} \\ { \tt{k = - 3 \: \: }}\)

- Therefore, the equation is;

\({ \boxed{ \tt{y = - 2x}}}\)

- What is x when y is 15

\({ \tt{15 = - 2x}} \\ { \tt{x = - 7.5}}\)

The value of x is -5

The equation for a direct variation is y = kx, where k is the constant of variation. Since we know that y = 6 when x = -2, we can solve for k:

                                        k = y/x

                                        k = 6/-2

                                        k = -3

Therefore, the equation for this direct variation is y = -3x. To find x when y = 15, Substitute k = -3 and y = 15 into the equation

                                15 = -3x

Then solve x,

                       x = \(\frac{-15}{3}\)

                        x = -5

Therefore, when y = 15, x = -5.

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Answer:

constant of proportionality

Step-by-step explanation:

Assuming that we have two proportional quantities; one is x and one is y.

If we know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

  33°

Step-by-step explanation:

Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.

__

Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:

  ∠UXW = 90° -57° = 33°

We are given two curves on a graph paper and we have to find the y values for the given x.

From the graph we can check for a value of x, what is the value of y from the curve.

x     -3     -2     -1    0      1         2        3

Exp  8      4      2    1      0.5  0.25  0.125

Lin.   7.5   6    4.5   3      1.5     0     -1.5

We find that the two have the same values where the two curves intersect.

From the graph we find that near to -3 and near to 2 both have the same values.

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The missing graph is attached below.

The correct answer is x/ 7 = 9. Option D

Algebraic expressions are simply defined as expressions comprising of terms, variables, coefficients, constants and factors.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc.

It is important to note that quotient represents division.

Example;

The quotient of 1 and 2 is 1/ 2

The quotient of 3 and 4 is 3/ 4

From the information given, we have that;

The quotient of a number and 7 is 9

Let the number be x

We have;

x/ 7 = 9

Thus, the correct answer is x/ 7 = 9. Option D

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Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

B. Sigma Subscript p hat Baseline = 0.032 In SRSs of size 100, the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, p = 0.12.

Step-by-step explanation:

took the quiz

The correct calculation and interpretation of the standard deviation of the sampling distribution of p hat is the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, 0.12.

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

The standard deviation of the sampling distribution of p hat is given as,

\(\sigma_{ \hat p}=\sqrt\dfrac{p(1-p)}{n}\)

Here, p is the proportion and n is the number of sample.

The proportion of twins born in a town is p = 0.12. Now there is randomly select 100 women from this town who give birth in the next year.

\(\sigma_{ \hat p}=\sqrt{\dfrac{0.12(1-0.12)}{100}}\\\sigma_{ \hat p}=\sqrt{0.001056}\\\sigma_{ \hat p}=0.032\)

Thus, the correct calculation and interpretation of the standard deviation of the sampling distribution of p hat is the sample proportion of women in this town giving birth to twins typically varies 0.032 from the true proportion, 0.12.

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Answer:

histogram

Step-by-step explanation:

Answer:\(\frac{11}{-2}\)

Step-by-step explanation:

ok so I'm going to try to show it the best c an

m = slope

the equation you use is

\(\frac{y2-y1}{x2-x1} =\) m

so when using that formula with the cords, you get

\(\frac{4-(-7)}{-6-(-4)}\)

and then subtract everything and you'll get

\(\frac{11}{-2}\)

Answer:

Hi

Please mark brainliest ❣️

Answer:

jhadfiogdivbdui

Step-by-step explanation:

Answer:

1,934 students

Step-by-step explanation:

Find the percentage using the sample size and multiply that by the total number of students