Factor the trinomial:
5x^2 + 12x + 7

Answer:

y =1 /2 x+ 5

Step-by-step explanation:

Answer:

y=1/2x+5

graph the points and do the change of y over the change of x to get slope

the 5 is y intercept when you connect the two points where the line touches the y axis the y point is the y- intercept

Answer:

median

Step-by-step explanation:

median is not affected by outliers of skewed data, while mean is greatly affected by skewed data. Median is always the best to use when the data is skewed.

Answer:

The median; it is less sensitive to outliers in a data set.

Step-by-step explanation:

So the right answer is 1500.

look at the attached picture⤴

Hope it will help you..

Answer:

The answer is 1500

Step-by-step explanation:

1500*0.012=18

Answer:

24°

Step-by-step explanation: a flat surface=180° 180-156=24

Answer:

24 °

Step-by-step explanation:

Supplementary angles are two angles that add up to 180°

One angle is 156 so 180-156 gives you the angle of the missing angle. The answer of 180-156 is 24 so therefore, x=24°

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Answer:

Total = Principal * e ^ (rate * years)

Total = 17,183 * 2.718281828459 ^ (.054 * years)

After 1 year = 18,136.39

After 2 years = 19,142.68

After 5 years = 22,509.12

After 10 years = 29,486.15

We'll use this formula to find the doubling time:

Years = ln (total / principal) / rate

we'll use 200 for total and 100 for principal

Years = ln (200 / 100) / rate

Years = ln (2) / .054

Years = 0.69314718056 / .054

Years = 12.8360588993  Years Doubling Time

Step-by-step explanation:

The question is about continuous compound interest. An initial amount of $17,183 is invested with a 5.4% annual interest rate. An exponential function depicts the amount over time, you find the balance by substituting the values of time into the function, and the doubling time is calculated to be approximately 12.8 years.

The subject matter of this question deals with the concept of continuous compound interest in Mathematics. No additional deposits are made, only the principal amount is growing over time at a continuous compound interest. The formula for the balance in a continuously compounding account is given by P(t) = P0*e^(rt), where P0=initial balance, r=annual interest rate (as a decimal), t=time in years, and e=approximately 2.71828. In this case, P0 = $17,183 and r = 5.4% = 0.054.

a) The exponential function that describes the amount in the account after time t is: P(t) = $17,183*e^(0.054t)

b) Using this function, you can substitute the values of t to find the balance after each year, for example, for 1 year, it's P(1) = $17,183*e^(0.054*1) and similarly for 2, 5, and 10 years.

c) Doubling time can be obtained by equating P(t) = 2 * P0, which can be solved to obtain t = ln(2) / r (natural logarithm of 2 divided by the annual interest rate). Hence, it would approximately be 12.8 years.

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Answer:

the least cookies someone can buy from one person is 6

Step-by-step explanation:

Answer:

They're all rational numbers.

Integers: A whole number

Natural numbers: positive integers

Rational numbers: Any integer, positive or negative, including fractions

Irrational numbers: number that cannot be written as a ratio of two integers

The water level starts at 800. Then, with each year, we add a meter. It means that after t years we add exactly t meters.

So, at any given time t, the water level will be

[tex]w=800+t[/tex]

Answer:

6 weeks

Step-by-step explanation:

4⅙ + ¾w = 5⅔ + ½w

Convert into improper fractions

25/6 + 3w/4 = 17/3 + w/2

3w/4 - w/2 = 17/3 - 25/6

(3w - 2w)/4 = [2(17)-25]/6

w/4 = 9/6

w = 4 × 3/2

w = 6

Answer:

D)2x^3+7x^2-6x-11

Step-by-step explanation:

(2x^3-x-9)+(7x^2-5x-2) and simplify

into 2x^3+7x^2-6x-11 (steps shown in attachment)

Answer:

D)90

Step-by-step explanation:

First you work out 3^4 which is 81.

Then add 9 to it and it becomes 90.

Answer:

D.90

Step-by-step explanation:

3x3x3x3=9x9=81+9=90

Answer:

5 dollars per hamburger

Step-by-step explanation:

10 divided by 2

Answer:

It is a rate of $5 per hamburger

Step-by-step explanation:

10-5=5

2 x 5= 10

=5

Answer:

In cooperating with government

Step-by-step explanation:

Heavy borrowing by Marland led to financiers obtaining control of stock and ownership of Marland Oil, which then became Continental Oil Company, or Conoco. Marland continued to work for his former company but was made destitute by the Great Depression. He lost his oil empire, attributing his economic woes to lack of government regulation over banking.

i just had this question on an assignment, hope this helps.

Answer:

1

.8

.6

Step-by-step explanation:

Answer:

7 grams per pencil

Step-by-step explanation:

49 grams/7 pencils

divided both parts of the fraction by 7 to simplify to the number of grams for just one pencil so you end up with:

7 grams/1 pencil

Answer:

52 Blocks

Step-by-step explanation:

We need to find how many blocks Mona walks per day.

Info Given:

Number of blocks she walks in one walk.

Add the total blocks in one "route".

[tex]5 + 2 = 7\\7 + 6 = 13[/tex]

Mona walks 13 blocks in one route.

She walks her dog 4 times a day.

[tex]13 * 4 = 52[/tex]

Mona would walk her dog 52 blocks total per day.

Answer:

[tex]1000\leq P\leq 15000[/tex].

Step-by-step explanation:

It is given that the population (P) varied from 1000 to 15000 in the rural towns.

We need to write an inequality which express the statement in symbols.  

Variable P represents the population of rural towns.

Since population varied from 1000 to 15000, therefore the value of P must be greater than or equal to 1000 and less than or equal to 15000.

It can be written as

[tex]1000\leq P\leq 15000[/tex]

Therefore, the required inequality is [tex]1000\leq P\leq 15000[/tex].

Answer:

38

Step-by-step explanation:

90-52=38

Answer: 38

Step-by-step explanation:

i said so

Answer:

The height of the window in blue print 6.75 inches.

Step-by-step explanation:

Given that, the actual length of the window is 4.5 feet.

If a blue print has a scale of 3 inches = 2 feet.

The actual length of an object is 2 feet then length of the object in blue print is 3 inches.

Then the actual length of an object is 1 feet then length of the object in blue print is (3÷2)  inches =1.5 inches

The height of the window in blue print = (4.5×1.5)= 6.75 inches.

Answer:

6.75 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

So, it's hard to know if the sides on the parallelogram are equal or not, but both a rhombus and square have four congruent sides, but only a square has four right angles.

So 1/2 shapes fit both parameters. Therefore there is a 50% probability it has four right angles, given that it has four congruent sides. 

Answer:

the explanation is in the picture

don't mind my messy handwriting

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Answer:

Pay off his personal loan for his entertainment system.

Step-by-step explanation:

Answer:

$7.25

Step-by-step explanation:

Let p=popcorn

Let d=drinks

25.75=1p+3d

81.25=4p+9d

p=4

d=7.25  

Answer:

$7.25

Step-by-step explanation:

Cost of popcorn: x

Cost of drink: y

x + 3y = 25.75

x = 25.75 - 3y

4x + 9y = 81.25

4(25.75 - 3y) + 9y = 81.25

103 - 12y + 9y = 81.25

3y = 103 - 81.25

3y = 21.75

y = 7.25

x = 25.75 - 3(7.25)

x = 4

The closest options provided are c. 0.765 or d. 0.798.

The question involves determining the critical value for the linear correlation coefficient for a sample with 10 pairs of values at a 0.01 significance level. Since the sample size is 10, the degrees of freedom (df) would be calculated as n - 2, which equals 8 (10 - 2 = 8). According to the provided studies and tables of critical values for determining the significance of a correlation coefficient, we reference a critical values table specific to our degrees of freedom and significance level.

At a 0.01 significance level and with 8 degrees of freedom, the corresponding critical value would typically be found in a statistical table designed for this purpose. However, based on the example given in the context, which is using a table with a standard significance level of α = 0.05, we can infer that the critical value for α = 0.01 would be higher, as the significance level is more stringent. None of the provided options (a. 0.684, b. 0.632, c. 0.765, d. 0.798) directly match the information given, but option c. 0.765 or d. 0.798 would typically be closer to a critical value at an α = 0.01 level with 8 degrees of freedom.

Answer:

y - 8 = -2(x + 3)

y - 8 = -2x - 6

y = -2x + 2

Step-by-step explanation:

Answer:

C.There are 6.8 kiloliters in 68 hectoliters.

Step-by-step explanation:

1 hectolitre = 100 litres

1 decilitre = 0.1 litre

1 kilolitre = 1000 litree

6.8 kilolitres = 6800 litres

Or 68 hectolitres

Answer:

5

Step-by-step explanation:

There are 9 points, so the middle value is the 5th term. That makes the median = 5

Answer:

5

Step-by-step explanation:

9 data values

Median position:

(9+1)/2

10/2

5th value is the median

Answer:

7 7/8

Step-by-step explanation:

Answer: a

Step-by-step explanation: