For the geometric sequence x, (2x + 1), (4x + 10), ... the value of x, to the nearest
hundredth, is

Answer:

7

Step-by-step explanation:

First, we solve for j in the first equation:

4j+3=-5

4j=-8

j=-2

Now we plug j into j+9:

-2+9=7

So j+9 is 7

Answer:

Step-by-step explanation:

5(2w - 3)

10w - 15

Only the following two conclusions can be made:

This conclusion can be made by calculating the volume of water in Carmen's flask at time 6 seconds and at time 8 seconds, and comparing it to the volume of water in Matt's flask at the same times.

At time 6 seconds, the volume of water in Carmen's flask is 30 + 8.5(6) = 84 milliliters. At time 8 seconds, the volume of water in Carmen's flask is 30 + 8.5(8) = 94 milliliters. At time 6 seconds, the volume of water in Matt's flask is 10(1 + 0.28)^6 = 45.57 milliliters. At time 8 seconds, the volume of water in Matt's flask is 10(1 + 0.28)^8 = 64.15 milliliters.

Therefore, the volume of water in Carmen's flask is increasing at a faster rate than the volume of water in Matt's flask over the interval [6, 8].

This conclusion can be made because Matt's flask is increasing in volume by 28% each second, while Carmen's flask is increasing in volume by a fixed amount of 8.5 milliliters per second.

As time goes on, the percentage increase in Matt's flask will result in a faster rate of increase in volume compared to Carmen's flask.

Therefore, at some point, the volume of water in Matt's flask will be greater than the volume of water in Carmen's flask.

Learn about experiments here https://brainly.com/question/17274244

#SPJ1

Answer:

no

Step-by-step explanation:

fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite fortnite

We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

The test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.

In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:

The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.

Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

Learn more about hypothesis on

https://brainly.com/question/11555274

#SPJ1

Answer:

Step-by-step explanation:

The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?

7x + 15 + 15 = 17x

30 = 10x

x = 3

--------------------

check

7×3+15+15=17×3

21 + 30 = 51

51=51

the answer is good

Answer:

17x=30+7x

Step-by-step explanation:

Answer:

5250 dollars

Step-by-step explanation:

cross multiply

525000=100x

x=5250

Answer:

There's no picture.

Step-by-step explanation:

What picture......???

For the problem:

\(2\frac{1}{2} * 8\frac{2}{3}\) = _

Convert any mixed number to fractions:

\(2\frac{1}{2} = \frac{5}{2}\)

\(8\frac{2}{3} =\frac{26}{3}\)

Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

\(\frac{5*26}{2*3} =\frac{130}{6}\)

The Greatest Common Factor (GCF) of 130 and 6 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

\(\frac{130}{6} =\frac{130/2}{6/2} =\frac{65}{3}\)

65 ÷ 3 = 21R2, therefore:

\(\frac{65}{3} =21\frac{2}{3}\)

The result is:

\(2\frac{1}{2} *8\frac{2}{3} =21\frac{2}{3}\)

Answer:

36 minutes

Step-by-step explanation:

360/10=36 (percent is division of the number)

Step-by-step explanation:

2feet

feet

feet

feet

feet

feet

feet

2

2

2

2

2

2

Rounding up to the nearest cent, the present value that must be invested in the CD now is approximately $3333.34.

To calculate the present value required to have $4500 after 5 years with a simple interest rate of 7.0%, you can use the formula for simple interest:

Present Value = Future Value / (1 + (Interest Rate × Time))

In this case:

Future Value = $4500

Interest Rate = 7.0%

= 0.07

Time = 5 years

Substituting these values into the formula:

Present Value = $4500 / (1 + (0.07 × 5))

Present Value = $4500 / (1 + 0.35)

Present Value = $4500 / 1.35

Present Value ≈ $3333.33

You may use the simple interest calculation to get the present value necessary to have $4500 after five years with a simple interest rate of 7.0%:

Future Value / (1 + (Interest Rate Time)) = Present Value

In this instance

$4500 is the future value.

Rate of Interest = 7.0% = 0.07

t = 5 years

Substituting these values into the formula:

$4500 / (1 + (0.07 5)) = Present Value

$4500 / (1 + 0.35) equals the present value.

Present Value = $4500 / 1.35

For similar questions on invested

https://brainly.com/question/25893158

#SPJ8

The present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33

Using the formula for calculating the future value of a single sum:

Future Value (FV) = Present Value (PV) + (PV * Interest Rate * Time)

We rearrange the formula to solve for the present value (PV):

PV = FV / (1 + Interest Rate * Time)

Plugging in the given values:

FV = $4500

Interest Rate = 7.0% = 0.07

Time = 5 years

PV = $4500 / (1 + 0.07 * 5)

PV = $4500 / (1 + 0.35)

PV = $4500 / 1.35

PV ≈ $3333.33

Therefore, the present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33 (rounded up to the nearest cent).

Learn more about present value at https://brainly.com/question/20813161

#SPJ1

10.7 teaspoons of butter was used in the recipe.

" Measurement is the method of comparison unknown quantities to the known standard quantity."

According to the question,

Measurement given,

Butter used to make pie crust = 2 /3 cup of butter

1 stick of butter = 1/ 2cup of butter

1/2 cup of butter = 8 teaspoons of butter

⇒ 1cup of butter = 8 × 2 teaspoons of butter

                           = 16 teaspoons of butter

Therefore,

2 /3 cup of butter = (2/3) × 16 teaspoons of butter

                            = 10.66...

                            ≈10.7 (round to the nearest tenth)

Hence, 10.7 teaspoons of butter was used in the recipe.

Learn more about measurement here

https://brainly.com/question/2384956

#SPJ2

Answer:

y=3x+1

Step-by-step explanation:

m= \(\frac{-2-(-8)}{1-3} =\frac{-6}{2}\) or -3

-8= -3(3) + b

-8= -9 + b

+9     +9

1=b

Then put in slope intercept form:

y= 3x+1

Hope this helps! :)

Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

Answer:

16

Step-by-step explanation:

PEMDAS

Answer:

48-\(2^{4}\)×2= 16

Step-by-step explanation:

hope it helps! good luck :)

Answer:

he buys 40 juice boxes

Step-by-step explanation:

Answer: good boy good boy

Answer:

1.78f

Step-by-step explanation:

7/4=1.78 and then you add f

The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,

r=d/t

Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.

The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let t is the time the train has taken to travel and x is the distance it travelled. Thus,

\(t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}\)

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let t is the time the car has taken to travel and x is the distance it travelled. Thus,

\(t+2=3+\dfrac{(x-3\times35)}{51}\)

As t is same, thus put the value of t in this equation,

\(\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6\)

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.

Learn more about the rate of speed here:

https://brainly.com/question/359790

#SPJ1

5 "Always." Consecutive angles of a rectangle are always congruent.

6 "Never." A parallelogram is not always a square.

7 "Sometimes." In a rhombus, the diagonals are always perpendicular bisectors of each other, but they are not always congruent.

8 "Always." A rectangle has congruent sides, but not necessarily all four sides.

9 Given: ABCD is a parallelogram

To prove: AABC = ACDA

Proof:

AB || DC (definition of parallelogram)

AD || BC (definition of parallelogram)

∠ABC = ∠CDA (alternate interior angles)

AC = AC (reflexive property)

∠BCA = ∠DAC (alternate interior angles)

Therefore, AABC = ACDA (ASA congruence theorem)

10 Given: TRAP is an isosceles trapezoid

To prove: AAPR ARTA

TR = AP (definition of isosceles trapezoid)

∠APT = ∠ATR (alternate interior angles)

∠PAR = ∠RTA (alternate interior angles)

∠PAR = ∠APT (angles at a point)

Therefore, AAPR ARTA (AA congruence theorem)

Consecutive angles of a rectangle are always congruent. This is a property of rectangles that is true for every rectangle.

A square is a specific type of parallelogram that has all four sides congruent and all four angles right angles.

A rectangle has two pairs of opposite sides that are congruent, but the adjacent sides may have different lengths. This is a defining characteristic of rectangles, and it is always true for every rectangle.

The ASA congruence theorem states that two triangles are congruent if two angles and the included side of one triangle are congruent to the two angles and the included side of the other triangle. In this case, ∠ABC and ∠CDA are congruent by (3), AC is congruent by (4), and ∠BCA and ∠DAC are congruent by (5). Therefore, AABC = ACDA by the ASA congruence theorem.

The AA congruence theorem states that two triangles are congruent if two angles of one triangle are congruent to two angles of the other triangle, and the side between those angles is congruent in both triangles

Learn more about rectangle on

https://brainly.com/question/25292087

#SPJ1

Answer:

the slope is -2 or -2/1

the y-intercept is 3

y=-2x+3 or y=-2/1x+3

Step-by-step explanation:

Answer:

C.

Since the square root of 20 is around 4.5, we know that ≈4.5 is almost at the half mark between 4 and 5 on the number line.

hello again thanks for the points but why are you putting these questions because you passed the essay?

Answer:

to answer this question you have to first split up the diagrams,I'm to lazy to do that but I'll try

area of rectangle- 2mm×4mm=8mm²

area of rectangle 2-6mm×3mm=18mm²

area of rectangle 3- 4mm×2mm=8mm²

area of triangle =1/2 b×h

=1/2×6×18

=54mm²

total area = 8mm²+18mm²+8mm²+54mm²

=88mm²

Answer:

1 / 27 is the answer

Step-by-step explanation:

3^-3

= 1 / 3^3

= 1 / 27

The form of association that would be found in the variables would be:

As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.

The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.

As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.

Find out more on negative association at https://brainly.com/question/29264211

#SPJ1

Las medidas o parámetros que se sitúan hacia el centro de un conjunto de valores, con el objetivo de analizar un análisis profundo de los resultados, son denominadas "medidas de tendencia central".

Una medida de tendencia central da una impresión del centro de una cantidad de datos o una distribución. Dependiendo de la medida de centro utilizada, el centro puede significar el centro de los datos o la distribución, o el lugar más probable donde se encuentran la mayoría de los datos.

Por tanto, una medida de centro da una impresión de los datos o la distribución en un número y, a veces, también se utiliza como un resumen de un solo número de los datos o la distribución. Las medidas conocidas del centro son la media aritmética y geométrica, la mediana, la moda y el centro del rango (el valor exactamente entre los valores mínimo y máximo).

Aprende más en https://brainly.com/question/20982963

Answer:

Generalmente, los refugiados son personas que están fuera de s volver allí porque temen daños personales graves.

Step-by-step explanation:

Generalmente, los refugiados son personas que están fuera de s volver allí porque temen daños personales graves.