Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = x^e

Answer:

[tex]195[/tex]

Step-by-step explanation:

Let [tex]a[/tex] represent the number of math problems Matthew solved on Sunday. From the problem, we know he solved [tex]5a[/tex] problems on Saturday.

Therefore, we have:

[tex]5a+a=234,\\6a=234,\\a=39[/tex]

Substitute [tex]a=39[/tex] into [tex]5a[/tex]:

[tex]5(39)=\boxed{195}[/tex]

Answer:

0.0067 = 0.67% probability of selecting at least 3 defective fuses.

Step-by-step explanation:

For each fuse, there are only two possible outcomes. Either it is defective, or it is not. The probability of a fuse being defective is independent of any other fuse, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A company manufactures fuses. The percentage of non-defective fuses is 95.4%.

This means that 100 - 95.4 = 4.6% = 0.046 are defective, which means that [tex]p = 0.046[/tex]

A sample of 9 fuse was selected.

This means that [tex]n = 9[/tex]

Calculate the probability of selecting at least 3 defective fuses.

This is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{9,0}.(0.046)^{0}.(0.954)^{9} = 0.6545[/tex]

[tex]P(X = 1) = C_{9,1}.(0.046)^{1}.(0.954)^{8} = 0.2840[/tex]

[tex]P(X = 2) = C_{9,2}.(0.046)^{2}.(0.954)^{7} = 0.0548[/tex]

Then

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.6545 + 0.2840 + 0.0548 = 0.9933[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.9933 = 0.0067[/tex]

0.0067 = 0.67% probability of selecting at least 3 defective fuses.

5 + ( 2 × 42 ) =

5 + 84 =

89

.....

.....

Answer:

89

Step-by-step explanation:

So we will follow PEMDAS in this exact order:

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

5 + 2 • 42 Equation

5 + (2 • 42) We have no parentheses or exponents so we move on to multiplication

5 + 84 We have no division so we move on to addition

= 89 We have no subtraction so this is our final answer

Answer:

(0,8)

Step-by-step explanation:

Let X be 0 and solve for Y to get the intercept

y= - 4([tex]10^{x}[/tex]) + 12

y= - 4 * [tex]10x^{0}[/tex] + 12

y= - 4 * 1 + 12

y= - 4 + 12

y=8

when x=0, y=8

(0,8) is y intercept

The y-intercept of the given function is (0,8).

We have given that,

The graph of the function f(x) = 10^x

The y-intercept of function gif g(x)=4f(x) + 12

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Let X be 0 and solve for Y to get the intercept

[tex]y= - 4(10^x) + 12[/tex]

[tex]y= - 4 (10^0) + 12[/tex]

[tex]y= - 4 * 1 + 12[/tex]

[tex]y= - 4 + 12[/tex]

[tex]y=8[/tex]

when x=0, y=8

The y-intercept of the given function is (0,8).

To learn more about the intercept visit:

https://brainly.com/question/1884491

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Answer:

The circumference of the back wheel is 2.62 inches

Step-by-step explanation:

Given

[tex]d_1 = 5in[/tex] --- diameter of front wheel

[tex]d_1 : d_2 = 3:1[/tex] --- ratio of the diameters

Required

The circumference of the back wheel

First, we calculate the diameter of the back wheel.

We have:

[tex]d_1 : d_2 = 3:1[/tex]

Substitute: [tex]d_1 = 5in[/tex]

[tex]5in: d_2 = 3 : 1[/tex]

Express as fraction

[tex]\frac{d_2}{5in} = \frac{1}{3}[/tex]

Make [tex]d_2[/tex] the subject

[tex]d_2 =5in * \frac{1}{3}[/tex]

[tex]d_2 = \frac{5}{3}\ in[/tex]

So, the circumference (C) of the back wheel is:

[tex]C =\pi d[/tex]

[tex]C = 3.14 * \frac{5}{6}\ in[/tex]

[tex]C = \frac{3.14 * 5}{6}\ in[/tex]

[tex]C = \frac{15.7}{6}\ in[/tex]

[tex]C = 2.62\ in[/tex]

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]a-3b+4[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Equation...}}\\\\\frac{1}{2}(2a-6b+8)\\----------------\\\rightarrow\frac{1}{2}* 2a = a\\\\ \rightarrow\frac{1}{2}*-6b = -3b\\\\\rightarrow\frac{1}{2}*8 = 4\\\\\text{\underline{Therefore:}}\\\\\frac{1}{2}(2a-6b+8)\rightarrow \boxed{a-3b+4}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: a-3b+4

Step-by-step explanation:

Credits to guy up there

Answer:

80

Step-by-step explanation:

Area of a square is LxL where L is the length of the side

so 6400 = LxL

L = 80

Answer:

table:

x = -2 , y = 5

x = 0 , y = -3

x = 1 , y = -4

x = 3, y = 0

b

i. line A

ii. y = -1,5

iii. x = -1.25

Step-by-step explanation:

as from the table

Step-by-step explanation:

the last one takes allot of steps but I tried those

Answer:

I added some attachments as well, I hoped I helped.

Answer:

2

Step-by-step explanation:

Parallel lines have the same slopes

If the slope of line a is 2, the slope of line b is 2

Answer:

slope of line b = 2

Step-by-step explanation:

The slopes of parallel lines are equal

Given slope of line a = 2 and parallel to line b , then

slope of line b = 2

1) angle RQP

2) angle PQR

Step-by-step explanation:

am-an+bm-bn

m(a+b)-n(a+b)

(m-n)(a-b)

Answer:

[tex] \small \sf \: ( m - n ) ( a + b )[/tex]

Step-by-step explanation:

( am - an + bm - bn)

= ( am - an ) + ( bm - bn )

= a ( m - n ) + b ( m - n )

= ( m - n ) ( a + b )

Answer:

6 sec

Step-by-step explanation:

when ball return to the ground, h is 0

0=at^2 +bt

0 = -4.9t^2+29.4t

factor: -4.9 times -6 is 29.4

0 = -4.9t(t-6)

set each equation to 0

-4.9t = 0 or t-6=0

t = 0 or t= 6

it's 6 seconds

Answer:

after 6 seconds in the air

Step-by-step explanation:

setting 'h' equal to zero will yield when the ball returns to the ground

you can factor out -4.9t to get:

-4.9t(t - 6) = 0

t = 0 (prior to ball being thrown)

t = 6 (this means, after 6 seconds, the height of the ball is back to zero)

Answer:

Decreased

Strong negative

Step-by-step explanation:

The correlation Coefficient is used to show the strength and type of relationship which exists between the dependent and independent variable. The correlation Coefficient value ranges from - 1, to 1. With values closer to either - 1 or 1 depicting a strong relationship while those closer to 0 represents weak relationship. And correlation Coefficient of 0 indicates that no relationship exiata at all. Depending in the sign, that is positive or negative, positive sign means positive relationship while a negative sign represents a negative association. Positive association is interpreted as, for every increase in A, Variable B also increase and vice versa. For negative association, When A increases, B decreases and vice versa

Answer:

c.100

Step-by-step explanation:

first draw a figure of rhombus EFGH to avoid confusions

given

angle E= 3x+5

angle H= 4x

here,

E=G and H=F ( opposite angles of rhombus are equal)

now,

E+G+H+F= 360 ( sum of interior angles in a rhombus)

3x+5+3x+5+4x+4x= 360

x= 25°

we know that,

F= H

F= 4x

F= 4 × 25

F= 100

Answer:

A. the first possible case is always n = 1

Step-by-step explanation:

Mathematical induction is a technique used to provide proof for a statement such that the statement holds for all natural numbers which are the non-negative integers

Therefore, given that the natural numbers are 0, 1, 2..., we have that mathematical induction can start from n = 0

Therefore, the statement which is not true is that the first possible case is always n = 1

hope this helps. Please mark me brainliest

Answer:

3.27

16 is what percent of 489? = 3.27.

Answer:

Step-by-step explanation:

1). 3x + 10

3(2) + 10

= 16

2). 14 - 2y

14 - 2(-3)

= 20

3). 7x - 5y

7(2) - 5(-3)

= 29

4). 5x + 7

5(2) + 7

= 17

5). 2x + 3y

2(2) + 3(-3)

= -5

6). 6y - 5x

6(-3) - 5(2)

= -28

Answer:

CA = 22.6 ft

Step-by-step explanation:

For the known angle A, leg CA is the adjacent leg.

Side AB is the hypotenuse.

The trigonometric ratio that relates the adjacent leg tot eh hypotenuse is the cosine.

cos A = adj/hyp

cos 41° = CA/(30 ft)

CA = 30 ft * cos 41°

CA = 22.6 ft

Answer: Start at the positive

x

-axis, then rotate left by the desired angle.

Explanation-

Standard position means the first arm of the angle is the positive

x

-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.

As a basic example, the symbol

∠

is about a 45° angle in standard position.

To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.

If our angle was 90°, the terminal arm would be on the positive

y

-axis.

If our angle was 180°, it would be on the negative

x

-axis.

Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.

graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}

(ignore the part of the line in quadrant 4)

Answer:

$8

Step-by-step explanation:

12.5 hours earned him $110

then an hour will earn him less

12.5=$110

1=x then you cross multiply

12.5x=110

12.5x/12.5=110/12.5

x=8

therefore an hour will earn him $8

Problem 27)

Refer to the diagram that says "problem 27".

This is the graph of y = 5x where x is the time in years, and y is the amount of simple interest in the account.

This equation comes from the simple interest formula below

i = P*r*t

i = 100*0.05*x

i = 5x

y = 5x

Note: The graph is a straight line through (0,0) and (1,5)

=====================================================

Problem 28)

The abscissa is the x coordinate. For a point like (-3, -7), the abscissa is -3.

The ordinate is the y coordinate. For that point mentioned earlier, the ordinate is -7.

The graph of points is shown below in the figure labeled "problem 28".

When graphing any point, we always start at the origin (0,0) where the x and y axis meet up. Then for a point like (-3,-7) we move 3 units to the left on the x axis and 7 units down on the y axis to arrive at point A. The other points are plotted in a similar fashion. The labels A,B,C,D are optional. They were added to help keep track of the points.

Answer:

A = 24

Step-by-step explanation:

Figure shown is a trapezoid

Area of a trapezoid = [tex]\frac{a+b}{2} h[/tex]

where a and b = base lengths and h = height

The trapezoid shown has the following dimensions

Shorter base length (a) = 6

Longer base length (b) = 10

Height (h) = 3

Using these dimensions , plug in the values into the area formula

A = [tex]\frac{6+10}{2} 3[/tex]

add 6 + 10 = 16

[tex]A=\frac{16}{2} 3[/tex]

divide 16/2 = 8

[tex]A = (8)(3)[/tex]

multiply 8 times 3

A = 24

Answer:

10.25

Step-by-step explanation:

26-7(2.25)=10.25

Answer:

$10.25 would be left over

Step-by-step explanation:

Hyunjin spends 7($2.25), or $15.75, for those 7 americanos.

To find out how much money he'd have left, we subtract this $15.75 from his $26, obtaining $10.25.

Answer:

h(x) is the image after f(x) is horizontally stretched by a scale factor of 4

Step-by-step explanation:

Given

[tex]h(x) = \frac{1}{4}x^2[/tex]

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

Required

Compare h(x) to f(x)

We have:

[tex]h(x) = \frac{1}{4}x^2[/tex]

Substitute [tex]f(x) = x^2[/tex]

[tex]h(x) = \frac{1}{4}f(x)[/tex]

This means that f(x) is stretched horizontally by a scale factor of 4 to get h(x)

Step-by-step explanation:

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Answer:

the average probability of all possible outcomes of a future event occurring, weighted by each possible outcome individually

Step-by-step explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

In Statistics, an expected value can be defined as the average probability of all possible outcomes of a future event occurring in an experiment, weighted by each possible outcome individually. Thus, an expected value in theory refers to the outcome an individual expect to obtain from an experiment in the long-run.

Mathematically, an expected value can be calculated by summing the products of each distinct outcome and their probability respectively.

Answer:

x = 48-32 = 16

y = 32/16 × 10 = 20

z = 48/32 × 26 = 39