Sketch the graph of y=-2x²+x+1 using your graphing calculator. What are the x-intercepts of this graph?
a. (1, 0) and (-0.5, 0)
c. There are no x-intercepts
b.
(-2.5, 0) and (-2, 0)
d.
(-1.5, 0) and (-0.5, 0)
Please select the best answer from the choices provided

The half life of the radioactive substance is 10.22 years.

Half Life is the amount of time needed by the radioactive substance to reduce to its half concentration (as compared to the initial concentration).

It is given that

y = ae⁻ᵇˣ

here a is the initial amount , y is the amount remaining after x years

a = 90mg at x =0

Value of y = 12.6 mg at x = 29 years

On substitution of value

12.6 = 90 e⁻²⁹ᵇ

0.14 = e⁻²⁹ᵇ

b = 0.0678

The equation is

\(\rm y = 90 e^{-0.0678 * x}\\\)

Half life is when the concentration is reduced to half

On 1st half life , the concentration = 90/2 = 45 mg

\(\rm 45 = 90 e^{-0.0678 * x}\\\)

x = 10.22 years

Therefore the half life of the radioactive substance is 10.22 years.

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Answer:

Step-by-step explanation:

3x  +  5  +  x  -  25  =  180

4x  -  20  =  180

4x  =  200

x  =  50

Answer:

k = -0.1

Step-by-step explanation:

An ordered pair is in the form (x,y)  We can use the x and y from the point (-30,3) to find k

y = kx  We will replace x with -30 and y with 3

3 = (-30)k  divide both sides by -30

-0.1 = k  or \(\frac{-1}{10}\) in the fraction form

The length of the string in cm is; 20 cm

We are told that the string is wound symmetrically around a circular rod.

Now, the circumference of the rod is 4 cm and length is 15 cm.

Now, circumference is also the length of a circle. Thus, one wound of the string will be equal to the circumference of the rod.

Thus, one wound = 4 cm

Since the string makes 5 turns about the rod, then;

Length of string = 5 × 4 = 20 cm

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Answer:

Step-by-step explanation:

To work out the given expression without a calculator, we need to convert the numbers from their respective bases to decimal form and then perform the arithmetic operations. Let's break it down step by step:

11101010 base 2: To convert a binary number to decimal, we multiply each digit by the corresponding power of 2 and sum the results. So, let's calculate:

1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 234.

2122 base 8: To convert an octal number to decimal, we multiply each digit by the corresponding power of 8 and sum the results. Let's calculate:

2 * 8^3 + 1 * 8^2 + 2 * 8^1 + 2 * 8^0 = 1090.

ABC base 16: To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum the results. Let's calculate:

10 * 16^2 + 11 * 16^1 + 12 * 16^0 = 2748.

123 base 8: We already know that 123 is in base 8 (octal), so we can directly convert it to decimal:

1 * 8^2 + 2 * 8^1 + 3 * 8^0 = 83.

Now, let's perform the arithmetic operations:

234 + 1090 + 2748 - 83 = 3989.

Therefore, the result of the given expression in decimal form is 3989.

Answer:

Step-by-step explanation:

Positive linear :). It’s going in a higher of direction so when the Y value rises the of thIt’s going in a higher of direction so when the Y value rises the X value also rises

The amount insurance company will pay is $700000.

We are given that

Age of Mr. lewis= 63

Policy value= $700,000

Now,

If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.

Therefore, by algebra the answer will be $700000.

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Answer: x = 9

Step-by-Step Solution:

Hypotenuse = 15 units

Base = 12 units

Altitude = x units

Using Pythagoras Theorem,

=> Hypotenuse^2 = Base^2 + Altitude^2

(15)^2 = (12)^2 + x^2

225 = 144 + x^2

225 - 144 = x^2

81 = x^2

x^2 = 81

x = √81

=> x = 9

Therefore, Altitude = 9 units

Answer:

B

Step-by-step explanation:

Because "How Tall are the students in my class?" and "How much do the students oon the team weigh,?" can vary. If you ask a question about one person, it is not a statistical question because the answer cant vary.

An answer will vary with 2 or more things.

Hope I helped.

How many hours per week do you practice sports? does not represent a statistical question because it asks for a fixed quantity, i.e., the number of hours per week someone practices sports, which does not involve variability or differences among data.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

A statistical question is a question that can be answered through data analysis and involves variability or differences among data.

It usually requires collecting data from a sample or population, organizing and summarizing the data, and drawing conclusions from the results.

How tall are the students in my class and How much do the students on the football team weigh represent statistical questions because they involve collecting data on a characteristic or variable of a population, such as height or weight.
These questions can be answered through data analysis and provide information on the variability or distribution of the characteristic in the population.

Hence, Option B does not represent a statistical question because it asks for a fixed quantity, i.e., the number of hours per week someone practices sports, which does not involve variability or differences among data.

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Answer:

-9

Step-by-step explanation:

The constant doesn't have a letter attached to it

Answer:

Step-by-step explanation:

A

A counter-example to the given conclusion is the difference between the numbers 15 and 25, where both are positive, but the difference gives a negative result.

Here we are shown some differences between positive numbers:

7 - 3 = 4

8 - 5 = 3

9 - 8 = 1

And the conclusion is:

"The difference of two positive numbers is always positive".

To find a counter-example we just need to find two positive numbers such that the difference between these two positive numbers gives a negative number as a result.

An example of that can be the numbers 15 and 25, if we take the difference we will get:

15 - 25 = -10

Here we can see that the difference between two positive numbers gives a negative number as an outcome, so this is our counter-example.

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Answer:

14

Step-by-step explanation:

Answer:

3 steps

Step-by-step explanation:

FIrst of all, if you think about it, we can just say -3 as 3 ( even though they are not equal, were just counting steps.)

On a number line, negative numbers are on the left of 0 and positive on the right of 0.

So, lets say the middle number is 0 on our number line. -3 is 3 steps to the left. We take 1 step to negative 1, another step to -2, and then a 3rd and final step to -3.

The steps represent how far the number is from 0. FIr example, we have to add 3 to -3 to get to 0, like how we add 7 to 0 to get 7!

Hope this helps!

Answer:

If you start at 0, you would have to take 3 steps back or -3 steps.

The number of steps represent the positive and negative numbers on the number line.

Step-by-step explanation:

I did the question

Answer:

2

Step-by-step explanation:

60/30 is 2

HOpe this helps :D

PLz mark brainliest if correct :D

Answer:

G.

Step-by-step explanation:

cards = 2

dollars = 9

to check that the number of cards with the correct amount d;

use the ratio and proportion.

(3 x 18)/9 = 4

(4 x 31.5)/18 = 7

(7 x 45)/31.5 = 10

therefore, option G. table G. is the correct answer

try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount.  (see attached)

Answer:

0.67

Step-by-step explanation:

0.668 is close to 0.67 than 0.66

Answer: ∠EBJ

Step-by-step explanation:

Starting Angle: ∠EBH

Possible Supplement: ∠EBJ

Answer:

  C ≈ 22.1°

Step-by-step explanation:

The law of cosines formula is given. Solving it for C, we find ...

  C = arccos((a^2 +b^2 -c^2)/(2ab))

where a and b are the sides adjacent to the angle.

Then we have ...

  C = arccos((14^2 +19^2 -8^2)/(2·14·19)) = arccos(493/532)

  C ≈ 22.1°

__

If you have a fair number of these to do, a spreadsheet is a useful tool. There are also triangle solver apps on the web or your local smart platform that will do this, too.

Answer:

20)12

Step-by-step explanation:

Answer:

x < -8/5

Step-by-step explanation:

-9 - 5x > -1

-5x > 8

x < -8/5

To find the longest baton that could fit diagonally in the box, we need to find the length of the longest diagonal of the rectangular box.

Using the Pythagorean theorem, we can find the diagonal length:

diagonal length = sqrt(6^2 + 8^2 + 6^2)

= sqrt(36 + 64 + 36)

= sqrt(136)

≈ 11.66 inches

Therefore, the longest baton that could fit diagonally in the box is approximately 11.66 inches long.

Answer:

Step-by-step explanation:

11.66 inches

Answer:

The population was 3040 people in 8 years.

Step-by-step explanation:

find unit rate;

3800/10 = 380

380 x 8 = 3040

Answer:

11 minute

Step-by-step explanation:

22 min/2 miles

11 min/ 1 mile

22 minutes ÷2=11 minutes for 1 mile

11 ×11=121 for 11 miles

Answer:

Answer below

Step-by-step explanation:

1/8 is correct

in pic

_________________________________________

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

lol, that is true she should stop drinking too much water.

But all jokes aside, the answer is A. At least one day she drank exactly 6 cups of water.

The equivalent equation of  r sinθ = 10 in rectangular coordinates is y²  +   y⁴/x² - 100 = 0.

The rectangular coordinates is calculated from the polar equation as follows;

r sinθ = 10

the conversion from polar to rectangular coordinates;

r² = x² + y²

r = √(x² + y²) ----- (1)

y/x = tanθ  ------ (2)

r sinθ = 10

√(x² + y²)(y/x) = 10

(x² + y²)(y²/x²) = 100

y²  +   y⁴/x² = 100

y²  +   y⁴/x² - 100 = 0

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Answer:

-25/36

Step-by-step explanation:

-5/8 * 10/9

-50/72