Jose added up his work hours for his paycheck. Last week he worked hours 25 5/8. This week he worked hours 32 5/6. How many total hours did he work in two weeks? with steps

Answer:

Step-by-step explanation:

Given:      CS ≅ HR

           ∠CHS ≅ ∠HCR

           ∠CSH ≅ ∠HRC

Prove: CR ≅ HS

ΔCHS ≅ ΔHCR (Angle-Angle-Side, AAS, congruence property)

ΔICR ≅ ΔIHS (congruence property)

IS ≅ IR (similarity property)

CS ≅ HR (given)

Thus,

IC = IS + SC (addition property)

IH = IR + RH (addition property)

IC ≅ IH

Then,

CR ≅ HS (similarity property of triangles SCH and RHC)

Answer:

Standard form: [tex]12x+3y-2=0[/tex]

A = 12, B = 3 and C = -2

Step-by-step explanation:

Given:

The equation:

[tex]y= -4x + \dfrac{2}3[/tex]

To find:

The standard form of given equation and find A, B and C.

Solution:

First of all, let us write the standard form of an equation.

Standard form of an equation is represented as:

[tex]Ax+By+C=0[/tex]

A is the coefficient of x and can be positive or negative.

B is the coefficient of y and can be positive or negative.

C can also be positive or negative.

Now, let us consider the given equation:

[tex]y= -4x + \dfrac{2}3[/tex]

Multiplying the whole equation with 3 first:

[tex]3 \times y= 3 \times -4x + 3 \times \dfrac{2}3\\\Rightarrow 3y=-12x+2[/tex]

Now, let us take all the terms on one side:

[tex]\Rightarrow 3y+12x-2=0\\\Rightarrow 12x+3y-2=0[/tex]

Now, let us compare with [tex]Ax+By+C=0[/tex].

So, A = 12, B = 3 and C = -2

Answer:

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as shown;

CI = xbar ± Z(б/√n)

xbar is the sample mean

Z is the value at 95% confidence interval

б is the standard deviation of the sample

n is the number of samples

Given xbar = 14.2, Z at 95% CI = 1.96, б = 0.70 and n = 9

Substituting this values into the formula;

CI = 14.2 ± 1.96(0.70/√9)

CI = 14.2 ± 1.96(0.70/3)

CI = 14.2 ± 1.96(0.2333)

CI = 14.2 ± 0.4573

CI = (14.2-0.4573, 14.2+0.4573)

CI = (13.7427, 14.6537)

Hence, the 95% confidence interval of the true mean is within the range

13.7≤[tex]\mu[/tex]≤14.7 (to 1 decimal place).

Answer:

A. 6

Step-by-step explanation:

We see that 20 is a diameter that goes through the center of the point. This means that the top half of the black line is 10 and the top half of the blue line is 8. Use the Pythagorean Theorem to find out the length of the shortest side by doing 10^2 - 8^2 = x^2. x^2 = 36; x = 6.

Answer:

Correct Answer:

To maximize their profit, Esibu must build 6 (2 grandmother clock and 4 wall clock) while Dela must build 8 (6 grandmother clock and 2 wall clock).

Step-by-step explanation:

Since they don't want to work for more than 20 hrs in a week

In-order to maximize the profit,

For Esibu,

2 grandmother clock = 4 hours ×2 = 8 hours

4 wall clock = 3 hours × 4 = 12 hours

Total hours = 20 hours.

For Dela,

6 grandmother clock = 2 hours × 6 = 12 hours

2 wall clock = 4 hours × 2 = 8 hours

Total hours = 20 hours.

Answer:

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

Responder:

Explicación paso a paso:

Dado un polígono con los siguientes lados 3n + 5, n² - 4, n² - 4 y 3n + 5, el perímetro del polígono dado será equivalente a la suma de todos los lados del polígono. Como el polígono está formado por 4 lados, el perímetro de la forma será;

P = s₁ + s₂ + s₃ + s₄

P = (3n + 5) + (n² - 4) + (n² - 4) + (3n + 5)

P = 3n + 5 + n² - 4 + n² - 4 + 3n + 5

Recolectando los términos similares;

P = n² + n² + 3n + 3n + 5 + 5-4-4

P = 2n² + 6n + 10-8

P = 2n² + 6n + 2

Por lo tanto, el perímetro del polígono es 2n² + 6n + 2

Answer:

E) x= 0 or x= 9/2

Step-by-step explanation:

You have the following equation:

[tex]2x^2-7=7(x-1)+2x[/tex]       (1)

In order to find the solutions for x of the equation (1), you simplify it and factorize in a convenient way, as follow:

[tex]2x^2-7=7x-7+2x\\\\2x^2-9x=0\\\\x(2x-9)=0[/tex]   (2)

Then, by the previous factors, it is necessary that either x=0 or 2x-9 = 0.

Thus, one of the solution is x=0. The other solution is:

[tex]2x-9=0\\\\x=\frac{9}{2}[/tex]

Hence, the solutions of the equation (1) are:

E) x= 0 or x= 9/2

Answer:

11 < √137 < 12

Step-by-step explanation:

the closest squares are 121 and 144; 11² and 12²

Answer:

y=3x+4

Step-by-step explanation:

4 is the y intercept and 3 is the slope which is how much per pound. The equation you can use is y=mx+b, m is the slope so you fill it in with 3 and b is the y intercept so you fill it in with 4.

Answer:

2310789600

Step-by-step explanation:

10 digits + 26 letters = 36

₃₆C₁₃ = 2310789600

Hope this helps, although i am not 100 percent sure its right.

Answer:

[tex]\boxed{(1, -3)}[/tex]

Step-by-step explanation:

[tex]y+3=2 (x-1)[/tex]

Put equation in slope-intercept form.

[tex]y=mx+b[/tex]

[tex]y=2(x-1)-3[/tex]

[tex]y=2x-2-3[/tex]

[tex]y=2x-5[/tex]

Let x = 1

[tex]y=2(1)-5[/tex]

[tex]y=2-5[/tex]

[tex]y=-3[/tex]

The point (1, -3) lies on the line.

Answer:

The hypothesis test is right-tailed

Step-by-step explanation:

To identify a one tailed test, the claim in the case study tests for the either of the two options of greater or less than the mean value in the null hypothesis.

While for a two tailed test, the claim always test for both options: greater and less than the mean value.

Thus given this: H0:X=10.2, Ha:X>10.2, there is only the option of > in the alternative claim thus it is a one tailed hypothesis test and right tailed.

A test with the greater than option is right tailed while that with the less than option is left tailed.

Answer:

Please help with questions on my profile somebody

Step-by-step explanation:

Energía cinética = 1 / 2mv²

Donde m es la masa y v es la velocidad

De la pregunta

la masa es de 16 libras

la velocidad es de 30 m / s

16 libras es equivalente a 7.257 kg

Entonces la energía cinética es

1/2(7.257)(30)²

Espero que esto te ayude

Answer:

Domain {1,2,3,4}

Step-by-step explanation:

The domain is the values for the input, in this case it is the x values

Domain {1,2,3,4}

Answer:

y + 4 = 4/3(x - 6).

Step-by-step explanation:

The point-slope formula is shown below. We just need to find the slope.

(-4 - (-8)) / (6 - 3) = (-4 + 8) / 3 = 4 / 3

m = 4/3, y1 = -4, and x1 = 6.

y - (-4) = 4/3(x - 6)

y + 4 = 4/3(x - 6).

Hope this helps!

Answer:

[tex]g(2)=1[/tex]

Step-by-step explanation:

So first, we know that:

[tex]f(1)=g(1)+1[/tex]

And:

[tex]f(2)=2[/tex]

This means that instead of 1, if we put two in like so:

[tex]f(2)=g(2)+1[/tex]

Then we can substitute the f(2):

[tex]2=g(2)+1\\g(2)=1[/tex]

Therefore, g(2)=1.

Answer:

second option

Step-by-step explanation:

Parallel lines have the same slope, and since the slope of the given line is 1/2, we know the slope of the answer will be 1/2, which eliminates the first and last options. We know the slope and a point that belongs to the line, (-2, 1), so we can use point-slope formula to derive the equation of the line.

y - 1 = 1/2(x + 2)

y - 1 = 1/2x + 1

y = 1/2x + 2

Answer:

a. [tex]g(x)=f(x+3)+2[/tex]

b. [tex]g(x)=f(x-5)-4[/tex]

Step-by-step explanation:

Como f(x) no está especificada correctamente, vamos a tratarla genéricamente.

Las transformaciones que se proponen son traslaciones en el eje x y en el eje y.

Cuando se traslada'la función en el eje x, la variable independiente se reemplaza por una variable auxiliar u que es equivalente a la variable original x mas el valor desplazado hacia la izquierda.

Cuando se traslada la función en el eje y, simplemente se suma una constante a la función con un valor equivalente a las unidades que la función se traslado hacia arriba (si es hacia abajo, este valor es negativo).

Entonces, para trasladar f(x) 3 unidades a la izquierda u 2 unidades hacia arriba, empezamos por reemplazar la variable independiente por u=x+3 y luego agregar una constante igual a 2:

[tex]g(x)=f(x+3)+2[/tex]

Si queremos trasladar f(x) 5 unidades a la derecha y 4 unidades hacia abajo, empezamos por reemplazar la variable independiente por u=x-5 y luego agregar una constante igual a -4:

[tex]g(x)=f(x-5)-4[/tex]

En la figura se puede ver un ejemplo de la transformación para f(x)=x^2.

Answer:

The bottom left

Step-by-step explanation:

the -4 tells you the y intercept and the 1/3 tells you slope

hope this helps!

Answer:

D. 80    :)

Step-by-step explanation:

The solution is : The value of segment LM is 9x + 5.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

Consider the image below.

A perpendicular bisector is a line segment that bisects another line segment into two equal parts and is perpendicular to this line segment.

So from the diagram below we know:

KL = LM

line a is ⊥ to KM

∠NLK = 90°

Since the angle measure of ∠NKL is not provided we cannot determine the value of x.

So, the value of segment LM is 9x + 5.

To learn more on angle click:

brainly.com/question/28451077

#SPJ7

Complete question:

Line a is a perpendicular bisector of line segment K M. It intersects line segment K M at point L. Line a also contains point N. Line segment K L is 9 x +5. Line segment K N is 14 x minus 3. What is the length of segment LM? units

Answer:

(a) The probability of getting someone who was not sent to prison is 0.55.

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is 0.63.

Step-by-step explanation:

We are given that in a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.

Let the probability that subjects studied were sent to prison = P(A) = 0.45

Let G = event that subject chose to plead guilty

So, the probability that the subjects chose to plead guilty given that they were sent to prison = P(G/A) = 0.40

and the probability that the subjects chose to plead guilty given that they were not sent to prison = P(G/A') = 0.55

(a) The probability of getting someone who was not sent to prison = 1 - Probability of getting someone who was sent to prison

      P(A') = 1 - P(A)

               = 1 - 0.45 = 0.55

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is given by = P(A'/G)

We will use Bayes' Theorem here to calculate the above probability;

    P(A'/G) =  [tex]\frac{P(A') \times P(G/A')}{P(A') \times P(G/A') +P(A) \times P(G/A)}[/tex]      

                 =  [tex]\frac{0.55 \times 0.55}{0.55\times 0.55 +0.45 \times 0.40}[/tex]

                 =  [tex]\frac{0.3025}{0.4825}[/tex]

                 =  0.63

Answer:

Option b = 90 degrees of freedom.

Step-by-step explanation:

So, in this particular Question we are given the following parameters or data or information which is going allow us to be able to solve this particular problem or Question;

=> "A regression analysis involved 8 independent variables"

=> "99 observations. "

Requirement : to determine the critical value of t for testing the significance of each of the independent variable's coefficient.

Hence, the formula below will used in Calculating or in the determination of the degree of freedom;

Degree of freedom= total number of observations - number of independent variables- 1.

Thus, slotting bin the values into the formula above, we have;

The degree of freedom = 99 - 8 - 1 = 90.

Answer:

x ≥ 2 or x ≤ -6

Step-by-step explanation:

4|x + 2| ≥ 16

|x + 2| ≥ 4

x + 2 ≥ 4 or  -(x + 2) ≥ 4

x ≥ 2 or x + 2 ≤ -4 → x ≤ -6

[tex]\text{Solve the absolute value}\\\\4|x+2|\geq 16\\\\\text{We can make this equation a lot simpler by dividing both sides by 4}\\\\|x+2|\geq4\\\\\text{According to the absolute value, there can be two outcomes. In this case,}\\\text{it would be either:}\\\\x+2\geq4\,\,or\,\,x+2\leq-4\\\\\text{Solve first outcome:}\\\\x+2\geq4\\\\\text{Subtract both sides by 2}\\\\x\geq2\\\\\text{Solve second outcome:}\\\\x+2\leq-4\\\\\text{Subtract 2 from both sides}\\\\x\leq-6\\\\[/tex]

[tex]\boxed{x\geq2\,\,or\,\,x\leq-6}[/tex]

Answer:

[tex]\boxed{x = 9}[/tex]

Step-by-step explanation:

m = -1/3

b = 7

And y = 4 (Given)

Putting all of the givens in [tex]y = mx+b[/tex] to solve for x

=> 4 = (-1/3) x + 7

Subtracting 7 to both sides

=> 4-7 = (-1/3) x

=> -3 = (-1/3) x

Multiplying both sides by -3

=> -3 * -3 = x

=> 9 = x

OR

=> x = 9

Answer:

x = 9

Step-by-step explanation:

m = -1/3

b = 7

Using slope-intercept form:

y = mx + b

m is slope, b is y-intercept.

y = -1/3x + 7

Solve for x:

Plug y as 4

4 = 1/3x + 7

Subtract 7 on both sides.

-3 = -1/3x

Multiply both sides by -3.

9 = x

Answer:

6a + 12b + 18c

Step-by-step explanation:

To solve, we distribute the 6 to all of the terms inside the parentheses.

[tex]6*a\\6*2b\\6*3c\\6a+12b+18c[/tex]

Our answer is 6a + 12b + 18c. Hope this helps!

Vocabulary:

Distribute: Give shares of something. In math: Divide / give to each term (in this case)

Answer:

6a+12b+18c

Step-by-step explanation:

To create an equivalent expression, we must distribute the 6. Multiply each term inside of the parentheses by 6.

6(a+2b+3c)

(6*a)+(6*2b)+(6*3c)

6*a=6a

6a+(6*2b)+(6*3c)

6*2b=(6*2)b=12b

6a+12b+(6*3c)

6*3c=(6*3)c=18c

6a+12b+18c

The equivalent expression using the distributive property is 6a+12b+18c

Answer:

Step-by-step explanation:

Given,

As we know that the all sides of the square are equal.

Length of a square paper = 12 cm

Area of square = ?

Now, let's find the area of square

[tex] = {l}^{2} [/tex]

plugging the value of length,

[tex] {(12)}^{2} [/tex]

Evaluate the power

[tex] = 144[/tex] square cm

Hope this helps...

Best regards!!

Answer:

20.25 miles

Step-by-step explanation:

If your car travels 27 miles on a full tank of gas, then your car will travel [tex]27\cdot\frac{3}{4}[/tex] miles on [tex]\frac{3}{4}[/tex] tank of gas.

[tex]27 \cdot 0.75 = 20.25[/tex]

I hope this helped!

Answer:

27

Step-by-step explanation:

Hello,

11011 in base 2 is

1 * 16 + 1 * 8 + 0 * 4 + 1 * 2 + 1 in base 10

which is 16 +8+2+1=27

Do not hesitate if you have any question