f(x) = 4^x-
2; find f(1)​

answer

1 or 3

explaination

[tex] {x}^{2} - 4x + 3 = 0 \\ using \: factorization \: method \\ ( {x}^{2} - 3)( - x + 3) = 0 \\ x(x - 3) - 1(x - 3) \\ x - 1 = 0 \: orx - 3 = 0 \\ x = 1 \: or \: 3[/tex]

Step-by-step explanation:

To answer the questions, you must fill out the table.

a=65+48=113

b=157-65=92

c=92+33=125

d=48+33=81

e=157+81=238 or 113+92=238

5. To find the probability of picking a customer that is lactose intolerant, you need to find the total number of lactose intolerant people out of all the people.

81/238 or 34%

6. To find the probability of randomly picking a customer over 30 years old, you find the total number of people over 30 years old out of all the people.

125/238 or 52.5%

7. This problem specifically asks for people that are not lactose intolerant.

Under 30 years old: 65/157 or 41%

Over 30 years old: 92/157 or 59%

Based on these statistics, is it obvious that it is more likely for a customer to me over 30.

Answer:

3/5

Step-by-step explanation:

There are 5 total counters and 3 of them are white counters so you have a 60% chance to get a white counter.

hope this helps

Answer:

x =  - 14

Step-by-step explanation:

18x = -252

18x/18 = - 252/18

x = - 14

Answer:

[tex]=-14[/tex]

Step-by-step explanation:

[tex]18x=-252\\\mathrm{Divide\:both\:sides\:by\:}18\\\frac{18x}{18}=\frac{-252}{18}\\Simplify\\\frac{18x}{18}=\frac{-252}{18}\\\mathrm{Simplify\:}\frac{18x}{18}:\quad x\\\frac{18x}{18}\\\mathrm{Divide\:the\:numbers:}\:\frac{18}{18}=1\\=x\\\mathrm{Simplify\:}\frac{-252}{18}:\quad -14\\\frac{-252}{18}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{252}{18}\\\mathrm{Divide\:the\:numbers:}\:\frac{252}{18}=14\\=-14[/tex]

Answer:

x=9

Step-by-step explanation:

48-3=45

5x=45

45/5=9

The value of x in the given inequality will be equal or smaller than 9,

x ≤ 9

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is an inequality 5x + 3 ≥ 48

Solving for x,

5x + 3 ≥ 48

Subtract 3 from both side, that will reverse the sign,

5x ≤ 45

Divide both sides by 5,

x ≤ 9

Hence, the value of x will be equal or smaller than 9, x ≤ 9

Learn more about inequality, click;

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Answer:

f(x)=x²-2x-2

Step-by-step explanation:

f(x)=ax²+bx+c

f(0)=-2 => c= -2

f(1)= -3=> a+b-2=-3; a+b=-1

f(2)= -2; 4a+2b-2=-2; 4a+2b=0; 2a+b=0

a+b=-1 and 2a+b=0

2a+b-(a+b)=0+1=> a=1

2+b=0=> b=-2

f(x)=x²-2x-2

Answer:

Volume = 9900 ft2

Step-by-step explanation:

To find the volume of the pool, we can use the base as the trapezoid, and then we need to calculate the base area and multiply by the height.

The trapezoid has a bigger base of 8 and a smaller base of 3, with a height of 60, so the area is:

Area = (8+3)*60/2 = 330 ft2

Now, to find the volume, we just need to multiply the base area by the height of 30 feet:

Volume = Area * Height = 330 * 30 = 9900 ft2

Answer:

x ≈ 14.3 cm

Step-by-step explanation:

The line from the vertex to the base is a perpendicular bisector, that is

It divides the isosceles triangle into 2 right triangles, with base [tex]\frac{1}{2}[/tex] x

Using the tangent ratio on the left, right triangle, then

tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{5}{\frac{1}{2}x }[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )

x × tan35° = 10 ( divide both sides by tan35° )

x = [tex]\frac{10}{tan35}[/tex] ≈ 14.3 cm ( to 1 dec. place )

Answer:

The slope is 2

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

    = (1 - (-5)) / (2 - (-1))

    = (1+5) /  (2+1)

    =6/3

    = 2

Answer:

Step-by-step explanation:

How many minutes did Betty practice?:

36 x 7=252

How many minutes in all did Jake and Betty practice?:

252+36=288

Equation:

1:7

The equations can be modeled as:

Betty = 252 minutes

Jake + Betty = 288 minutes.

Two or more expressions with an equal sign are defined as an equation.

Given that, Jake practiced piano for 36 minutes and Betty practiced for 7 times as long as Jake.

Therefore, Betty practiced for:

36 × 7 minutes

= 252 minutes.

The total time of practice is:

252 + 36

= 288 minutes.

The equations can be modeled as:

Betty = 252 minutes

Jake + Betty = 288 minutes.

Learn more about equations here:

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Answer:

The answer is C. An octogon has a sum of interior angles of 1080 degrees. 1080/8 = 135 degrees.

Answer:

A:the sum of figure interior angles is 540

Step-by-step explanation:

Answer:

[tex][(-5)-\frac{9}{(-3)^3}](-6)+(-6)=22[/tex]

Step-by-step explanation:

[tex][\left(-5\right)-\frac{9}{\left(-3\right)^3}]\left(-6\right)+\left(-6\right)[/tex]

Remove parenthesis: [tex](-a)=-a[/tex]

[tex]=-[-5-\frac{9}{\left(-3\right)^3}] * 6-6[/tex]

[tex][-5-\frac{9}{\left(-3\right)^3}]*6 = -28[/tex]

[tex]= - (-28) - 6[/tex]

Apply rule: [tex]- (-a) = a[/tex]

[tex]= 28 - 6[/tex]

Subtract the numbers: [tex]28 - 6 = 22[/tex]

Final answer:

[tex]= 22[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

Z = 1.88

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

94% confidence level

So [tex]\alpha = 0.06[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.06}{2} = 0.97[/tex], so [tex]Z = 1.88[/tex].

The critical z-value elena should use to construct the given confidence interval is; 1.88

We are given;

Formula for confidence intervals of proportion is;

CI = p^ ± z√(p^(1 - p^)/n)

Since we are given Confidence level of 94%, the significance level is;

α = 100% - 94%

α = 0.06

The the z-score will be at the p-value of 1 - α/2

P-value = 1 - (0.06/2) = 0.97

From online p-value from z-score calculator, we have; z-score = 1.88

Read more about confidence intervals at; https://brainly.com/question/16236451

Answer:

75 percent

Step-by-step explanation:

.75 times 20 =15 therefore it is .75 or 75%

Answer:

283.5 cm squared

Step-by-step explanation:

The surface area of a solid is basically just the sum of the areas of all the exterior sides. In this figure, we have 3 congruent triangles at the top, 3 congruent rectangles on the sides, and 1 triangle at the base. We need to find all these areas.

3 congruent triangles:

The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height.

Here, the base of one triangle is 10 and the height is 4. So:

A = (1/2) * b * h

A = (1/2) * 10 * 4 = 20

Since there are 3 such triangles, multiply 20 by 3:

20 * 3 = 60 cm squared

3 congruent rectangles:

The area of a rectangle is denoted by: A = lw, where l is the length and w is the width.

Here, the length is 6 and the width is 10, so:

A = lw

A = 6 * 10 = 60

There are 3 such rectangles, so multiply 60 by 3:

60 * 3 = 180 cm squared

1 base triangle:

Again we use the formula A = (1/2) * b * h for this area.

Here, the base is 10 and the height is 8.7, so:

A = (1/2) * b * h

A = (1/2) * 10 * 8.7 = 43.5 cm squared

Add all these together:

60 + 180 + 43.5 = 283.5 cm squared

The answer is thus 283.5 cm squared.

Answer:

283.5 cm²

Step-by-step explanation:

3 rectangles + 3 triangles on top + triangular base

3(10×6) + 3(½×10×4) + (½×10×8.7)

180 + 60 × 43.5

283.5 cm²

Answer:

34 stamps

Step-by-step explanation:

Add 6 to 28,

28 + 6 = 34

Answer:

34

Step-by-step explanation:

6 + 28 = 34

Alicia had 34 to start.

Answer:

20+20+20=60

20+5+5=30

5-2=3

1+(20*5)=100+1=101

Step-by-step explanation:

Hope it helps :)

Answer:

you do order of operations

Step-by-step explanation:

Answer:

12 inches tall. Remember the conversion equations!!!!

Step-by-step explanation:

H = 1/2 Base divided by Area

1/2 of 4 = 2 (2/4 = 2)

2 ÷ 24 = 12

Answer:

0.00001693508

Answer:

Step-by-step explanation:

9^2/9^7= 1/9^(7-2) = 1/9^5

Answer:

15pi/7 - 13 pi/7

Step-by-step explanation:

to find a positive and negative coterminal angle

● add and subtract 2pi to the given angle

pi/7+2pi=pi/7+14pi/7=15pi/7 positive

pi/7-2pi=pi/7-14pi/7= -13pi/7 negative

Answer:

Step-by-step explanation:

Drag and drop the options mentioned before each box and that will give you perfect solution:

first box: third option

2nd box: 7th option

3rd box: 4th option

4th box: 1st option

5th box: 6th option

Answer:

150°

Step-by-step explanation:

It's opposite angles so we need to do:

Angle F to B = angle G to A

130+20 = 150°

Answer:

1/2

Step-by-step explanation:

there are 3 numbers on the dice less than six and 3 of six is 1/2

Answer:

it would be C≈13.19cm

hope this helps :)

We have been given that the quadratic equation [tex]y=-0.5x^2+4x+10[/tex] models the path of a heavy ball through the air, where y represents the height in feet and x represents time in seconds. We are asked to find the time when ball will hit the ground.

The ball will hit the ground, when height of ball above ground will be 0. So we will equate our given quadratic equation with 0 and solve for x.

[tex]-0.5x^2+4x+10=0[/tex]

We will use quadratic formula to solve our given problem.

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex], where

b = Coefficient of x term,

a = Coefficient of [tex]x^2[/tex] term,

c = Constant.

[tex]x=\frac{-4\pm\sqrt{(-4)^2-4(-0.5)(10)}}{2(-0.5)}[/tex]

[tex]x=\frac{-4\pm\sqrt{(16+20}}{-1}[/tex]

[tex]x=\frac{-4\pm\sqrt{36}}{-1}[/tex]

[tex]x=\frac{-4\pm6}{-1}[/tex]

[tex]x=\frac{-4+6}{-1}, x=\frac{-4-6}{-1}[/tex]

[tex]x=\frac{2}{-1}, x=\frac{-10}{-1}[/tex]

[tex]x=-2,x=10[/tex]

Since time cannot be negative, therefore, the ball will hit the ground after 10 seconds.

Answer:

0.15

Step-by-step explanation:

The relative frequency for FAIL is

The number of times failed occurred/ The number of times the experiment was conducted.

Which is ;

60/400= 0.15

On a side note that relative value of success given is wrong; typo error probably. It should be 0.61

Answer: 0.61

Step-by-step explanation: Mark me as the brainliest

Answer:

1

Step-by-step explanation:

Step-by-step explanation:

1) x - 1 = - 11

x = - 11 + 1

x = - 10

2) 9k = 54

k = 54/9

k = 6

3) 14 + r = 16

r = 16 - 14

r = 2

Answer:

X= -10

K= 6

R= 2

Step-by-step explanation:

You first want to isolate the variable and make sure that whatever you do to one side of an inequality or equation you must do to the other.