The graph of an exponential model in the form y=a•b^x passes through the points (3,5) and (4, 10).
Which point is also on the graph?

Answer:

T9 = 5/256

Step-by-step explanation:

You can tell it by looking at the pattern of the progression whether each term +- or ×÷.

From the question,

First term, a = 5

Common ratio, r = (5/2)/5 = ½

n = 9

Using the formula for nth term of a geometric progression,

[tex] t_{n} = a {r}^{n - 1} [/tex]

T9 = 5(½)^(9-1)

= 5/256

Answer:

Step-by-step explanation:

Answer: Raise 1000 to the power of 4

1000000000000

Answer: 21

Step-by-step explanation:

This means we can substitute x=5 into f(x), so f(5)=6+3(5)=21.

Answer:

V = (4/3)πr3 ≅ (4/3)(3.14)(3 in)3 ≅ 113.0 in3

Step-by-step explanation:

Answer:

A. 5.0 * 10⁻⁹ J

Step-by-step explanation:

Q is charge.

ΔV is electric potential energy.

All we have to do is plug both values in.

PE = (1/2)(1.0 * 10⁻¹⁰)(100) = (1/2)(1.0* 10⁻⁸) = 5.0 * 10⁻⁹ J

Answer:

A.

Step-by-step explanation:

Plug the values in and there is your answer.

I hope it helps! Have a great day!

Anygays-

Answer:

x=11.5

Step-by-step explanation:

Answer:

x => -7

Step-by-step explanation:

to solve this equation you should start by subtract 6 on both sides

-2x <= 3x + 35

then subtract 3x to both sides

-5x <= 35

then you divide both sides by -5

x => -7

you must change the signs because you multiplied it by a negative

Answer:

422.734 fluid ounces

Step-by-step explanation:

For the approximate result you have to multiply the volume value by 19.215

Answer:

3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

447 = 3 ×149

577 = 577 (prime number)

669 = 3 × 223

HCF = 1

Answer: ✨4(2+1)✨

Step-by-step explanation: ✨3+6−2+53x+6−2+5x3+4+53✨

Answer:

4(2x + 1)

---->

Step-by-step explanation:

1:    3x + 6 - 2 + 5x = 4(2x + 1)

2:    Orignal Cost=80

Discounted Cost=60

Discount=80-60=20

Discount%=(20/80)*100=25%

The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

x² - 6x = 8

Add 9 on both sides, then we have

x² - 6x + 9 = 8 + 9

(x - 3)² = 17

The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ7

Answer:

2) 4,2

Step-by-step explanation:

Factor by grouping:

[tex]x^2-6x+8\\\\x^2-4x-2x+8\\\\x(x-4)-2(x-4)\\\\(x-2)(x-4)[/tex]

Setting the expression equal to 0 and using the Zero Product Property, [tex]x=2[/tex] and [tex]x=4[/tex], which are the factors of the original polynomial.

Answer:

The factors are x-2 and x-4.

Step-by-step explanation:

x^2 - 6x + 8

= (x - 2)(x - 4)

Answer:

  17

Step-by-step explanation:

The geometry program that drew the circle through the three given points wrote this equation for the circle:

  (x -6)^2 +(y -11)^2 = 130

Compared to the standard form equation, ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . circle with center (h, k) and radius r

we can see that the center is (h, k) = (6, 11).

The sum h+k is 6+11 = 17.

__

Additional comment

The center is at the point of intersection of the perpendicular bisectors of chords of the circle.

Here it is convenient to choose one of them as the horizontal segment with endpoints (3, 0) and (9, 0). The vertical line that bisects this segment is x=(3+9)/2 = 6. So, x=6 is the x-coordinate of the circle center.

We can use endpoints (-1, 2) and (3, 0) as another chord. Its midpoint is (-1+3, 2+0)/2 = (1, 1). The slope of this chord is (y2-y1)/(x2-x1) = (0-2)/(3-(-1)) = -1/2. So, the slope of the perpendicular bisector is -1/(-1/2) = 2, and the equation of that line is

  y -1 = 2(x -1)

For x=6, the point of intersection of the chord bisectors is ...

  y -1 = 2(6 -1) = 10

  y = 11

The coordinates of the circle center are (6, 11), so h+k = 6+11 = 17.

Answer:

Associative property

Step-by-step explanation:

Sine the () was moved to another two numbers, it would be the Associative property of addition

Hope this helps :)

Answer:

A. 8 1/4 - 3 2/5 - (2 1/3 - 1/4) = 83/30 = 2  23/30 ≅ 2.7666667

B. 5

Answer:

  K = (-5, 14)

Step-by-step explanation:

For writing equations of parallel and perpendicular lines, it is convenient to start with equations in general form:

  ax +by +c = 0

Rewriting the given equations, we have ...

  y = 1/2x -1

  x -2y -2 = 0 . . . . . line d

  y = -3x +2

  3x +y -2 = 0 . . . . . line d'

__

A parallel line will have the same coefficients, but a constant appropriate to the required point on the line.

Parallel to d' through A(-1, 2):

  3(x -(-1)) +(y -2) = 0

  3x +y +1 = 0 . . . . . . . . simplify

__

A perpendicular line will have the coefficients swapped and one of them negated. Again, the constant is appropriate to the required point.

Perpendicular to d through B(3, -2):

  2(x -3) +(y -(-2)) = 0

  2x +y -4 = 0 . . . . . . . . simplify

__

The solution to this system of equations can be found by subtracting the second equation from the first:

  (3x +y +1) -(2x +y -4) = (0) -(0)

  x +5 = 0

  x = -5

Substituting into the second equation gives ...

  2(-5) +y -4 = 0

  y -14 = 0

  y = 14

The coordinates of point K are ...

  K = (-5, 14)

_____

Additional comment

The general line through the origin ...

  ax +by = 0

can be translated to go through point (h, k) by the usual method for translating functions. The variable x is replaced by (x -h), and the variable y is replaced by (y -k). Using the general form equation means we can keep the variables and constants all on the same side of the equal sign, saving a bit of work and confusion.

  a(x -h) +b(y -k) = 0 . . . . . . line through point (h, k)

__

The graph is drawn by a geometry program capable of drawing parallel and perpendicular lines through given points. It confirms the equations and th solution.

Answer:

Domain [0,50] and Range [0,100]

Step-by-step explanation:

The domain of a graph is the values that x takes on in the graph.

We see the x values for the graph go from 0 to 50.

Since both ends of the graph are closed circles we will use brackets:

D [0,50]

The range of a graph is the values that y takes on in the graph.

We see the y values for the graph go from 100 to 0.

R [0,100]

We can also write them in interval notation:

Domain: [tex]0\leq x\leq 50[/tex]

Range: [tex]0\leq y\leq 100[/tex]

The exponential function that represents the future value of the investment is $300(1.04)^t.

The exponential function that can be used to determine the future value of the investment is:

FV = P (1 + r)^nm

$300(1.04)^t.

Where t represents number of years

To learn more about future value, please check: https://brainly.com/question/18760477

The lateral surface area of a rectangular prism has length, breadth, and height is 3cm, 3cm, and 2cm is 36cm sq.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The lateral surface area of this rectangular prism = 2( l + b) h

It is given that length, breadth and height are 3cm, 3cm and 2cm.

The lateral surface area of this rectangular prism = 2( l + b) h

= 2 (3+3) 2

= 4 × 9

= 36cm sq.

Hence, the lateral surface area of this rectangular prism is 36cm sq.

Learn more about prism;

brainly.com/question/1601740

Answer:

39 ig

Step-by-step explanation:

Answer:

89010

Step-by-step explanation:

1978 times 45 will equal 89010 its very simple step wise.

Answer:

89010

Step-by-step explanation:

Answer:

2 hours 15 minutes

Step-by-step explanation:

7+2 =9

00+15 =15

Answer:

2 hours and 15 minutes

Step-by-step explanation:

2 hours and 15 minutes

7pm - 8pm = 1 hour

8pm - 9:15 = 1 hour 15 minutes

1 hour + 1 hour +15 minutes = 2 hours 15 minutes

Using the t-distribution, it is found that we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.

At the null hypothesis, it is tested if the mean is of 1.5 inches, that is:

[tex]H_0: \mu = 1.5[/tex].

At the alternative hypothesis, it is tested if it is different, hence:

[tex]H_1: \mu \neq 1.5[/tex].

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, their values are:

[tex]\overline{x} = 1.476, \mu = 1.5, s = 0.203, n = 200[/tex].

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{1.476 - 1.5}{\frac{0.203}{\sqrt{200}}}[/tex]

[tex]t = -1.672[/tex]

Considering a two-tailed test, as we are testing if the mean is diffrent of a value, with 200 - 1 = 199 df and a standard significance level of 0.05, the critical value is of [tex]|t^{\ast} = 1.972[/tex].

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.

More can be learned about the t-distribution at https://brainly.com/question/16313918

Answer:

unoriginal presidential play insisting that the president is a little more aggressive and more aggressive 6PM to the

Answer: 1. 10

2. an = an - 1 + 7 where a1 = -10

Step-by-step explanation:

Answer: A. an = an – 1 + 7 where a1 = –10

Step-by-step explanation:

Answer:

the area of triangle formula is A = B*H  / 2

so it means 16 square = (x+4) x /2

so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6

so x = -2 -6 = -8 or x= -2 +6 = 4

x must be positive so x = 4

Step-by-step explanation:

Answer:

13,377 in one week

Step-by-step explanation:

2100*0.09=189

2100-189=1911

1911*7=13,377

~hope this helps~

To meet your goal, you should consume 13377 calories in one week.

Percentage refers to a number that is "out of one hundred." As with fractions and decimals, percentages are used in mathematics to represent subsets of a whole.

Given,

you currently consume about 2100 calories per day.

You want to reduce your daily calorie consumption by about 9%.

That means,

9% of 2100

= 9 x 2100 / 100

= 189 calories

To find the number of calories you should consume in one week to meet your goal:

Multiply by 7 to reduced consumption in one day.

7 x 189

= 1323 calories.

Now, subtraction;

One week of consumption - reduced consumption

= (2100 x 7) - 1323

= 13377

Therefore, in one week you should consume 13377 calories.

To learn more about the percentage;

brainly.com/question/24159063

#SPJ2