Maria is saving $470 for a new camera. She currently has $256. If she saves $70 per week, how long will it take her to save at least $500 to cover taxes and extras?

The value of x in the rhombus is -1

From the question, we have the following parameters that can be used in our computation:

The shape = rhombus

The diagonals of rhombus bisect each other at 90 degrees

So, we have

2x^2 - 25x + 3x^2 + 60 = 90

Evaluate the like terms

5x^2 - 25x - 30 = 0

Divide through by 5

x^2 - 5x - 6 = 0

So, we have

x^2 + x - 6x - 6 = 0

Factorize

(x + 1)(x - 6) = 0

This gives

x = -1 and x = 6

When x = 6, 2x^2 - 25x is negative

Hence, the value of x is -1

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Answer:

23) \(g\) has an amplitude greater than the period of \(f\)/Both lines have the same period/There are no shifts of any kind between both lines.

24) Both lines have the same amplitude/\(g\) has a period less than period of \(f\)/There are no shifts of any kind between both lines.

25) Both lines have the same amplitude/Both lines have the same period/There is an horizontal shift between \(f\) and \(g\).

26) Both lines have the same amplitude/Both lines have the same period/There is a vertical shift between \(f\) and \(g\).

Step-by-step explanation:

We proceed to describe succintly all differences and simmilarities between \(f\) and \(g\) in each case:

23) \(g\) has an amplitude greater than the period of \(f\)/Both lines have the same period/There are no shifts of any kind between both lines.

24) Both lines have the same amplitude/\(g\) has a period less than period of \(f\)/There are no shifts of any kind between both lines.

25) Both lines have the same amplitude/Both lines have the same period/There is an horizontal shift between \(f\) and \(g\).

26) Both lines have the same amplitude/Both lines have the same period/There is a vertical shift between \(f\) and \(g\).

Answer:

x=5

Step-by-step explanation:

opposite angles are the same, so the small ones are 15. 180-30=150

150/2=75 75/15=5

The correct answer is A. The null hypothesis is rejected in error.

In statistical hypothesis testing, a Type II error occurs when the null hypothesis is incorrectly retained or failed to be rejected when it is actually false.

In other words, a Type II error happens when the researcher concludes that there is no significant difference or relationship between variables when, in reality, there is.

It is a false negative result, as the researcher fails to detect a true effect or relationship.

Option A accurately describes Type II error, while the other options are not related to Type II error.

Option B refers to rejecting the research hypothesis, which is not a Type II error but rather a Type I error.

Option C refers to the study being underpowered, which may increase the likelihood of both Type I and Type II errors but is not a direct description of Type II error.

Option D mentions double-blinding, which is a methodological consideration and not directly related to Type II error.

Option E refers to accepting the research hypothesis in error, which is not a Type II error but rather a correct decision or Type I error.

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The best statement that describes the function of the logic variable X is: A. X is a variable whose value is 1 or 0.

Logic variables typically represent binary states or conditions, where 1 represents "true" or "on" and 0 represents "false" or "off". Therefore, option A accurately describes the function of the logic variable X as having a value of either 1 or 0. Logic variables are often used in the field of logic and computer science to represent binary states or conditions. The value of a logic variable can only be one of two possibilities: 1 or 0.

In this context, 1 typically represents "true" or "on," indicating that a certain condition is satisfied or a certain state is active. On the other hand, 0 represents "false" or "off," indicating that the condition is not satisfied or the state is inactive.

By using logic variables, we can model and manipulate binary logic in a precise and systematic manner. The values of logic variables are fundamental in logical operations, such as AND, OR, and NOT, which are essential in designing and analyzing digital circuits, programming, and logical reasoning.

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Answer:

Step-by-step explanation:

To find the volume of the solid of revolution, we can use the formula for the volume of a solid of revolution:

V = π∫[a,b] (f(x))^2 dx

where f(x) is the distance between the x-axis and the upper half of the ellipse at x, a and b are the limits of integration.

The upper half of the ellipse can be written as y = b√(1 - x^2/a^2). Thus, the distance between the x-axis and the ellipse at x is given by f(x) = b√(1 - x^2/a^2). Substituting this into the formula for the volume of a solid of revolution, we get:

V = π∫[-a,a] (b√(1 - x^2/a^2))^2 dx

= 2πb^2∫[0,a] (1 - x^2/a^2) dx (because the integrand is even)

= 2πb^2 [x - x^3/(3a^2)]|[0,a]

= 2πb^2 [a - a^3/(3a^2)]

= (4π*b^2*a^2)/3

Therefore, the volume of the solid of revolution is (4π*b^2*a^2)/3, which is the volume of a prolate spheroid.

Answer:

1/16

Step-by-step explanation:

f(x) = 2^x

Let x = -4

f(-4) = 2 ^ -4

We know that a^-b = 1/a^b

      = 1/2^4

     = 1/16

Answer:

B) 1/16

Step-by-step explanation:

It's a lot easier than it looks ...

Plug in -4 to the x in 2^x

so you must find 2 to the power of -4

2^-4= 1/16

Hope this helps!

- Quinn <3

Yes, there are enough hundredths to make a tenth.

1.57 + 0.36 = 1.93

In this sum, the tenths place is made up of the digits 5 and 3, which add up to 8 tenths. The hundredths place is made up of the digits 7 and 6, which add up to 13 hundredths. Since there are 100 hundredths in a whole, we can regroup the 13 hundredths as 1 tenth and 3 hundredths. Therefore, the answer is 1.93, which has 1 whole, 9 tenths, and 3 hundredths.

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Answer:

Streamers are $2.50 each

Balloons are $1.50 each

Step-by-step explanation:

Make a system of equations

3s + 15b = 30

2s + 4b = 11

Solve by elimination: multiply the top equation by 2 and the bottom equation by -3.

6s + 30b = 60

-6s -12b = -33

18b = 27

b = 1.5

Plug in 1.5 as b to find s

3s + 15(1.5) = 30

3s +22.5 = 30

3s = 7.5

s = 2.5

The streamers are $2.50 and the balloons are $1.50

Answer:

A) 140

B) 75

C) 80

D) 20

E) 80

Step-by-step explanation:

Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.

Comenzamos nombrando cada círculo:

E= personas que usan máquinas eléctricas

M= personas que usan máquinas mecánicas

C = personas que usan computadoras.

- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.

- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.

- En la intersección entre M y C restamos:

25-20=5

Entonces colocamos este 5 en esa región.

- En la intersección entre E y C restamos:

35-20=15

Entonces colocamos este 15 en esa región.

- En la intersección entre E y M restamos:

40-20=20

Entonces colocamos este 20 en esa región.

- En la región de E restamos:

110-20-20-15=55

Entonces colocamos este 55 en esa región.

- En la región de M restamos:

50-20-20-5=5

Entonces colocamos este 5 en esa región.

- En la región de C restamos:

60-15-20-5=20

Entonces colocamos este 20 en esa región.

Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)

Y ahora ya lo podemos usar para responder a las preguntas:

A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:

55+20+5+60=140

B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:

55+20=75

C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C

55+20+5=80

D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C

20

E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:

20´60=80

The logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

The exponential function in this problem is defined as follows:

8e^x-5 = 0.

The equation can be sorted isolating the exponential as follows:

8e^x = 5.

e^x = 5/8.

The natural logarithm(symbolized by the ln) is the opposite of the exponential function, hence the logarithmic form of the equation is presented as follows:

ln(e^x) = ln(5/8).

As stated above, the natural logarithm and the exponential functions are inverse functions, meaning that:

ln(e^x) = x.

Thus the logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

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The expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards. The correct option is B.

The area of the gray region is the area of the rectangular backyard minus the area of the circular pond.

The area of the rectangular backyard is given as 6x+14x-12 square yards, which simplifies to 20x-12 square yards.

The area of the circular pond is given as 3x²-4x+5 square yards.

So, the area of the gray region is:

(20x-12) - (3x²-4x+5)

= 20x-12 - 3x²+4x-5

= 3x²+10x-17

Therefore, the expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards.

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Answer:

N is 39

Step-by-step explanation:

The distance between 99 and 19 is:

99 - 19 = 80

So, you can split the stick in 4 parts, one part between 19 and N, and 3 times this same part you'll have the distance between N and 99

So 80/4 = 20

19 + 20 = 39

N is 39

Answer:

Pasos para resolver una ecuación lineal

x⋅−0.9+1.1=−5.19

Resta 1.1 en los dos lados.

x(−0.9)=−5.19−1.1

Resta 1.1 de −5.19 para obtener −6.29.

x(−0.9)=−6.29

Divide los dos lados por −0.9.

x=

−0.9

−6.29

​

Expanda  

−0.9

−6.29

​

 multiplicando el numerador y el denominador por 100.

x=

−90

−629

​

La fracción  

−90

−629

​

 se puede simplificar a  

90

629

​

 quitando el signo negativo del numerador y el denominador.

x=

90

629

Step-by-step explanation:

Answer:

Step-by-step explanation:

The legs of a 30°- 60°-90° triangle are in the ratio 1:√3:2

The side opposite the 90° angle is 20 units, so the side opposite the 30° angle is 10 units and the side opposite the 60° angle is 10√3 units.

Hi there.

The answer is (x-2y-8)(x-2y-4)

Explanation:

\((x - 2y)^{2} - 12(x - 2y) + 32\)

Let (x-2y) = x

\( {x}^{2} - 12x + 32\)

Then factor the quadratic polynomial by 2 brackets factoring.

\((x - 8)(x - 4)\)

Then convert x to (x-2y)

\((x - 2y - 8)(x - 2y - 4)\)

AnswerAnswer:

1. no

2. no

4. no

6. yes, none of the numbers repeat

8. yes, none of the numbers repeat

Step-by-step explanation:

It has been a while since I did this so  not exaI'm not exactly sure about the rest of them.

A hypothesis is a statement regarding a characteristic of one or more populations. The null hypothesis is a statement of no change, no effect, or no difference. The alternative hypothesis is a statement we are trying to find evidence to support.

Generally, the null hypothesis expresses that there is no change, no difference, no effect, and in another way, no relationship between the independent and dependent variables. Because we are hypothesizing that nothing is happening, then it is called the null hypothesis.

The null and alternative hypothesis are two conflicting claims which researchers weigh evidence for and against using a statistical test. Null hypothesis (H0) means there is no effect in the population. Meanwhile, alternative hypothesis (Ha or H1) means there is an effect in the population.

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Answer:

y = -2x - 1

Step-by-step explanation:

If you already know the slope. Just find out the y-intercept. Plug the coordinates into the equation.

y = mx + b

y = -2x + b

1 = -2(1) + b

1 = -2 + b

-1 = b

Answer:

$4

Step-by-step explanation:

Answer:

7=-5

Step-by-step explanation:

7=-5

Answer:

I could but can you please put down the problem.

Step-by-step explanation:

(a) The economic loading of unit 4 and B are 11.54 MW and 138.46 MW, respectively.

To find the economic loading of the two units when the total load to be supplied by the power station is 150 MW, we need to minimize the total fuel cost. Let x be the power generated by unit 4 and y be the power generated by unit B. Then, we have:

x + y = 150 (total load)

The total fuel cost C is given by:

C = F4(x) + Fb(y)

where F4(x) and Fb(y) are the fuel costs for units 4 and B, respectively. Using the given relations, we have:

F4(x) = 0.06x^2 + 11.4x

Fb(y) = 0.07y^2 + 10y

Substituting x = 150 - y, we get:

C(y) = 0.06(150-y)^2 + 11.4(150-y) + 0.07y^2 + 10y

Expanding and simplifying, we get:

C(y) = 0.013y^2 - 3.6y + 1710

To minimize C(y), we take its derivative with respect to y and set it equal to zero:

dC/dy = 0.026y - 3.6 = 0

y = 138.46 MW

Substituting y back into x = 150 - y, we get:

x = 11.54 MW

(b) The negative value that is  -1297.5 indicates that there is a net decrease in fuel cost per hour if the load is equally shared by the two units.

To find the net increase in fuel cost per hour if the load is equally shared by the two units, we need to calculate the fuel cost for each unit when they generate half of the total load (i.e., 75 MW). Using the given relations, we have:

F4(75) = 0.06(75)^2 + 11.4(75) = 1282.5

Fb(75) = 0.07(75)^2 + 10(75) = 1312.5

Therefore, the total fuel cost is:

C = F4(75) + Fb(75) = 2595

If the load is equally shared by the two units, each unit generates 75/2 = 37.5 MW. The fuel cost for each unit is:

F4(37.5) = 0.06(37.5)^2 + 11.4(37.5) = 641.25

Fb(37.5) = 0.07(37.5)^2 + 10(37.5) = 656.25

Therefore, the total fuel cost is:

C' = F4(37.5) + Fb(37.5) = 1297.5

The net increase in fuel cost per hour is:

ΔC = C' - C = 1297.5 - 2595 = -1297.5

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Answer: Identity Property of Zero

On solving the provided question, we can say that By the help of trigonometry the angle elevation is 45.

The area of mathematics known as trigonometry looks at how triangle side lengths and angles relate to one another. In the Hellenistic era, roughly in the third century BC, the region had its initial appearance due to the use of geometry in astronomical study.

Exact mathematics focuses on specific trigonometric functions and how calculations could employ them. There are six well-known trigonometric functions in trigonometry.

They go by a variety of names and abbreviations, including sine, cosine, tangent, cotangent, secant, and cosecant (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. In geometry, the characteristics of every geometric figure are explored.

Let the pole's height be denoted by AB = h.

A pole's shadow will create the base BC.

Let the elevation angle be 9,

By the help of trigonometry

tan x = AB/BC

tan x = h/h = 1

x = tan^(-1)

x = 45

Hence, the angle elevation is 45

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Proved that at least one zero lies in the interval x  = 1 and x = 2 for the given polynomial

The polynomial is given by

f(x) = \(x^3\) - 6x + 1

We have to show that at least one zero lies in the given interval for the given polynomial using the intermediate value theorem

When the value of x = 2

Substitute the value of x in the polynomial

f(2) = (2)^3 - 6(2) + 1

= 8 - 12 + 1

= -3

When the value of x = 3

Substitute the value of x in the polynomial

f(3) = (3)^3 - 6(3) + 1

= 27 - 18 + 1

= 10

Here the value of f(2) is negative and the value of f(3)  is positive therefore there is at least one real zero between x = 1and x = 2

Hence, proved that at least one zero lies in the interval x  = 1 and x = 2 for the given polynomial

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Answer:

it would take them 4 days to build the house