Could y'all help me with thiss question i'll name you the brainliest hoping your day is going well!

Answer:

2x^2+8x+15

Step-by-step explanation:

\( {2(x + 1)}^{2} + 4(x + 1) + 7\)

\(2({x}^{2} + 2x + 1) + 4x + 4 + 7\)

\(2 {x}^{2} + 4x + 2 + 4x + 13\)

\(2 {x}^{2} + 8x + 15\)

The pH of the solution made by combining the given components is approximately 4.68.

The pH of an aqueous solution can be determined using the Henderson-Hasselbalch equation, which relates the pH of a solution to the concentrations of its acid and conjugate base components.

In this case, we have a mixture of acetic acid and sodium acetate, which form a conjugate acid-base pair. Acetic acid (CH3COOH) is a weak acid, and sodium acetate (CH3COONa) is its conjugate base.

To determine the pH, we need to calculate the concentrations of the acid and conjugate base after the addition of NaOH.

Let's calculate the moles of each component:
Moles of acetic acid = volume (in L) × concentration (in M)
Moles of sodium acetate = volume (in L) × concentration (in M)

For acetic acid:
Volume = 47.35 mL = 0.04735 L
Concentration = 0.3788 M
Moles of acetic acid = 0.04735 L × 0.3788 M = 0.01795 mol

For sodium acetate:
Volume = 34.84 mL = 0.03484 L
Concentration = 0.4312 M
Moles of sodium acetate = 0.03484 L × 0.4312 M = 0.01502 mol

Next, we need to determine the change in moles due to the addition of NaOH.
Moles of NaOH added = volume (in L) × concentration (in M)
Volume = 3.998 mL = 0.003998 L
Concentration = 0.0670 M
Moles of NaOH added = 0.003998 L × 0.0670 M = 0.000268 mol

Since NaOH reacts with acetic acid in a 1:1 ratio, the moles of acetic acid will decrease by 0.000268 mol.

Now, we can calculate the new moles of acetic acid and sodium acetate:
New moles of acetic acid = initial moles of acetic acid - moles of NaOH added
New moles of sodium acetate = initial moles of sodium acetate

New moles of acetic acid = 0.01795 mol - 0.000268 mol = 0.01768 mol
New moles of sodium acetate = 0.01502 mol

Finally, we can use the Henderson-Hasselbalch equation to calculate the pH:
pH = pKa + log(conjugate base/acid)
pKa is the dissociation constant of acetic acid, which is approximately 4.75.

Let's substitute the values into the equation:
pH = 4.75 + log(0.01502 mol / 0.01768 mol)

Calculating this expression gives us:
pH = 4.75 + log(0.849)

Using a calculator, we find:
pH ≈ 4.75 + (-0.070)

Therefore, the pH of the aqueous solution is approximately:
pH ≈ 4.68

So, the pH of the solution made by combining the given components is approximately 4.68.

Know more about pH:

https://brainly.com/question/2288405

#SPJ11

The correct answer is option b. 15.77%. The annual discount rate, also known as the discount rate or the rate of return, can be calculated using the present value formula.

Given that a cash flow of £52 million in 5 years' time is currently valued at £25 million, we can use this information to solve for the discount rate.

The present value formula is given by PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

In this case, we have PV = £25 million, CF = £52 million, and n = 5. Substituting these values into the formula, we can solve for r:

£25 million = £52 million / (1 + r)^5.

Dividing both sides by £52 million and taking the fifth root, we have:

(1 + r)^5 = 25/52.

Taking the fifth root of both sides, we get:

1 + r = (25/52)^(1/5).

Subtracting 1 from both sides, we obtain:

r = (25/52)^(1/5) - 1.

Calculating this value, we find that r is approximately 0.1577, or 15.77%. Therefore, the annual discount rate is approximately 15.77%, corresponding to option b.

Learn more about Discount Rate here:

brainly.com/question/13660799

#SPJ11

Answer:

C.

Step-by-step explanation:

(I MAY BE WRONG) srry if I was

Answer:

18 divided by 2 is 9 I'm bad at math

The equation of the circle that passes through the point (-4,-3) and has a center at (-8, -6) is \((x + 8)^2 + (y + 6)^2 = 25\). The equation is in standard form, where the center and radius of the circle is (-8, -6), 5 units.

The equation of a circle with center (a, b) and radius r is given by:

\((x - a)^2 + (y - b)^2 = r^2\)

In this problem, we are given that the center of the circle is (-8, -6), so we can substitute these values for a and b in the equation:

\((x - (-8))^2 + (y - (-6))^2 = r^2\)

\((x + 8)^2 + (y + 6)^2 = r^2\)

The distance between two points (x1, y1) and (x2, y2) is given by the distance formula:

\(d = sqrt((x2 - x1)^2 + (y2 - y1)^2)\)

\(d = sqrt((x2 - x1)^2 + (y2 - y1)^2)\)

\(d = sqrt((4)^2 + (3)^2)\)

d = 5

Therefore, the radius of the circle is 5.

\((x + 8)^2 + (y + 6)^2 = 5^2\)

\((x + 8)^2 + (y + 6)^2 = 25\)

So the equation of the circle that passes through the point (-4, -3) and has a center at (-8, -6) is: \((x + 8)^2 + (y + 6)^2 = 25\)

To learn more about circle please click on below link        

https://brainly.com/question/17357009

#SPJ1

Answer:

\(I'(-2,-4), J'(-4,4), K'(4,4)\)

Step-by-step explanation:

Assuming the dilation is centered at the origin, it is known that for a dilation of scale factor \(k\) centered at the origin, \((x,y) \to (kx,ky)\).

Answer:

y=2x+3

Step-by-step explanation:

2 is the slope. 3 is the y intercept

Answer:

x = 10

Step-by-step explanation:

Step 1: Write out equation

16 = 9 + x - 3

Step 2: Combine like terms

16 = x + 6

Step 3: Subtract 6 on both sides

10 = x

Step 4: Rewrite

x = 10

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{x = 10}}}}}\)

Step-by-step explanation:

\( \sf{16 = 9 + x - 3}\)

Subtract 3 from

⇒\( \sf{16 = 6 + x}\)

Swap the sides of the equation

⇒\( \sf{6 + x = 16}\)

Move 6 to right hand side and change it's sign

⇒\( \sf{x = 16 - 6}\)

Subtract 6 from 16

⇒\( \sf{x = 10}\)

Hope I helped!

Best regards!!

Answer: To get another turn, Sydney's score must be greater than 1. Therefore, to find the lowest number that Sydney can roll to get another turn, we need to find the smallest number that, when multiplied by the fraction on the card, will give a result greater than 1.

It's not mentioned which fraction card Sydney drew, so we can assume any fraction.

Let's assume the fraction card is labeled 1/4.

To get another turn, Sydney's score must be greater than 1. Therefore, we need to find the smallest number that, when multiplied by 1/4, will give a result greater than 1.

1/4 * x >1

x > 4

so the smallest number that Sydney can roll to get another turn is 5.

It should be noted that this is assuming that the fraction card is labeled 1/4 , if the fraction card is labeled with any other fraction the answer would be different.

Step-by-step explanation:

The area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.

When the two sides and an angle of a  triangle is known, then the area of the triangle can be found out with the following formula.

\(A=ab\sin\left(\dfrac{C}{2}\right)\)

Here, a,b are the adjacent sides and C is the angle made between them.

The image of the triangle DEF is attached below. In this the two adjacent sides are given with the length 5 units ans 8 units long.

The angle made between them has the measure of 31 degrees. Put the values in the above formula as,

\(A=(5)(8)\sin\left(\dfrac{31}{2}\right)\\A=10.3\rm\; unit^2\)

Hence, the area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.

Learn more about the triangle here;

https://brainly.com/question/1475130

Answer: A, 10.3

Step-by-step explanation: edge 2022

Answer:

A

Step-by-step explanation:

From the first inequality,we got:

11x+4<15

11x<11

x<1

From the second inequality,we got:

12x>-18

x>-3/2

Combine it together we got

-3/2<x<1

Answer:

All values of x are solutions

Step-by-step explanation:

Answer:

f(x)=-\(\frac{5}{2}\\\)x+9

Step-by-step explanation:

Use the slope formula and slope intercept formula form y=mx + b to find the equation

Answer:

27716

Step-by-step explanation:

come on just do 29028-1312=s 27716

Answer:

The viscosity at 140°C is predicted to be 7.2

Step-by-step explanation:

The function that model the relationship between viscosity and temperature = Quadratic model

The general form of a quadratic equation is y = a·x² + b·x + c

Therefore, we have;

When y = 10.8, x = 110, which gives;

10.8 = a·110² + b·110 + c = 12100·a + 110·b + c

10.8 = 12100·a + 110·b + c

When y =8.2, x = 130

8.2 = a· 130² + b· 130 + c = 16900·a + 130·b + c

8.2 = 16900·a + 130·b + c

When y = 160, x = 5.8

5.8 = a·160² + b·160 + c = 25600·a + 160·b + c

5.8 = 25600·a + 160·b + c

The three equations above can be listed as follows;

10.8 = 12100·a + 110·b + c

8.2 = 16900·a + 130·b + c

5.8 = 25600·a + 160·b + c

Solving using matrices gives;

\(\begin{bmatrix}12100 & 110 & 1\\ 16900 & 130 & 1\\ 25600 & 160 & 1\end{bmatrix} \begin{bmatrix}a\\ b\\ c\end{bmatrix} = \begin{bmatrix}10.8\\ 8.2\\ 5.8\end{bmatrix}\)

\(\begin{bmatrix}a\\ b\\ c\end{bmatrix} = -\dfrac{1}{3000}\begin{bmatrix}3 & -5 & 2\\ -867 & 1350 & -480\\ 62400 & -88000 & 28600\end{vmatrix} \begin{bmatrix}10.8\\ 8.2\\ 5.8\end{bmatrix}\)

From which we have;

a = 0.001, b = -0.37, c = 39.4

Substituting gives;

y = 0.001·x² - 0.37·x + 39.4

When x = 140

y = 0.962·140² - 0.37·140 + 39.4= 7.2

The viscosity at 140°C = 7.2.

Answer:

f(x) ≈ 0.001x2 − 0.37x + 39.4

The viscosity of the oil at 140°C is about 7.2 kg/ms.

Step-by-step explanation:

Substitute the values of a, b, and c into f(x) = ax2 + bx + c to write the quadratic model.

f(x) ≈ 0.001x2 − 0.37x + 39.4

Evaluate the quadratic model for x = 140 and simplify to predict the viscosity of the oil at a temperature of 140°C.

f(140) ≈ 0.001(140)2 − 0.37(140) + 39.4 ≈ 7.2

Therefore, the viscosity of the oil at a temperature of 140°C is about 7.2 kg/ms.

1100 children and 1900 adults attended the local zoo on that day.

A system of equations or an equation system is a finite set of equations for which common solutions are sought.

Given:

A local zoo's admission fee is $1.50 for children and $4.00 for adults.

On a certain day, 3000 people enter the zoo and $9250.00 is collected.

We have to determine how many children and how many adults attended?

Solution:

Let number of children enter the zoo = x

Then number of adults enter the zoo = 3000-x

Total collection =  $9250

Collection from children + Collection from adults = 9250

1.50 × x + 4(3000-x) = 9250

1.5x + 12000 – 4x = 9250

1.5x - 4x  = 9250 - 12000

-2.5x = -2750

2.5x = 2750

X =2750/2.5

X = 1100

Number of children enter the zoo = x = 1100

Number of adults enter the zoo = 3000 - x = 3000 - 1100 = 1900

Therefore 1100 children and 1900 adults attended the local zoo on that day.

To learn more about the system of equations visit

https://brainly.com/question/24065247

#SPJ1

The null hypothesis (H₀) is typically that the population mean is equal to a certain value. However, you haven't specified a null hypothesis in your question. Please provide the null hypothesis so that I can assist you further in determining the decision rule.

To determine the decision rule for rejecting the null hypothesis, we need to establish the critical value(s) or the rejection region based on the level of significance.

Given:

Sample size (n) = 18

Sample mean (x(bar)) = 5.6 pounds/square inch

Standard deviation (σ) = 0.8

Level of significance (α) = 0.01

Since the population distribution is assumed to be approximately normal, we can use the Z-test.

To know more about distribution visit:

brainly.com/question/33255942

#SPJ11

Answer:

Step-by-step explanation:

keeping in mind that a year has 12 months, thus 9 months are really 9/12 of a year, so

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \pounds 1640\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ I = (1640)(0.045)(\frac{3}{4})\implies I=55.35\)

90 intervals are expected to include the unknown parameter.

Given that,

If 100 separate simple random samples of size n were used to create 100 90% confidence intervals,

What is confidence interval ?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence. Confidence is another name for probability in statistics.

90 % Confidence Interval means that we are 90% confident that true parameter lies between that interval.

If we construct 100, 90% confidence interval based on 100 random samples.

So, 90 of the intervals include the true parameter.

To learn more about Confidence Interval click here:

brainly.com/question/24131141

#SPJ4

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

Step-by-step explanation:

Area of Semi Circle

The area of a semicircle is half of the area of the circle. As the area of a circle is πr2. So, the area of a semicircle is 1/2(πr2 ), where r is the radius.

The 55 in the expression represents the speed of the family’s car in miles per hour.

What is called distance?

The complete length of the path between any two points is called distance.

The expression 245-55t represents the distance, in miles, the family still needs to drive after t hours.

A camp counselor starts from home and drives to a campground.

The expression 245-55t represents the distance, in miles, the counselor still needs to drive after t hours.

Now, in expression 245 is the distance in miles between his home to the campground.

And 55 is the rate at which the distance 245 miles is reducing per hour.

The 55 in the expression represents the speed of the family’s car in miles per hour.

If the speed of the camp counselor is 55 miles per hour, then we can use the formula distance = speed × time

 Find out  long it will take for the counselor to reach the campground?

Let’s set distance = 0 and solve for t:

245-5t = 0

55t = 245

t =  4.45hours

Therefore, it will take approximately 4.45 hours for the camp counselor to reach the campground.

To know more about distance visit:

brainly.com/question/15172156

#SPJ1

The type of bias involved in this sampling design is a non-response bias and the sample result obtained is higher than the actual value for the population.

A sampling bias simply refers to a type of bias in which members of an intended population are selected in such a way that some members either have a higher or lower sampling probability (chances) than the other members.

A non-response bias is also referred to as participation bias and it can be defined as a type of bias that typically occurs when the members (non-responders) of a population are unwilling or unable to respond to a sampling design, based on a factor that makes them to differ greatly from responders i.e those people that responded.

In this context, we can logically deduce that this sampling design is a non-response bias because those who do not have daytime jobs are more likely to be at home and as such, have more baking time.

Read more on non-response bias here: https://brainly.com/question/25116315

#SPJ1

Complete Question:

Bias is present in each of the following sampling designs. In each case, identify the type of bias involved and state whether you think the sample result obtained is lower or higher than the actual value for the population.

Flour company in Minneapolis wants to know what percent of local households bake at least twice a week. A company representative calls 500 randomly selected households during the daytime and finds that 50% of those who responded bake at least twice a week.

Answer:

R = 18.5

Step-by-step explanation:

Answer: 18.5

Step-by-step explanation: Divide 74 by 4

The number of pizzas you must order for the price to be the same is 5

Bob's Pizza charges = $12 for each supreme pizza

This can be represented as

y = 12x

For Mike's Pizzeria, we have

y = 8x + 20

Substitute y = 12x in y = 8x + 20

12x = 8x + 20

Evaluate the like terms

4x = 20

Divide by 4

x = 5

Hence, the number of pizzas you must order for the price to be the same is 5

Read more about equations at:

https://brainly.com/question/13763238

#SPJ1

Answer:

The solution to the inequality |x|-3|x+4|≧0 is x≤-4 or -1≤x≤3.

Answer:

-4,3

Step-by-step explanation:

The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same external point, then they are congruent.

The tangents BC and DC are drawn from a common point C to the circle A.

Therefore, by The Two-Tangent Theorem:

BC ≅ DC

Hence, the required reason is:

The Two-Tangent Theorem