The coldest temperature ever recorded in New York City was -15F on Feb 9, 1934. The next day, the temperature rose
Write an expression for the temperature on Feb 10

Answers

Answer 1

Answer:

x = -15 + y

Step-by-step explanation:

Let next days temperature be x and the temperature rise be y

=> x = -15 + y

The next day's temperature will be more since it "rose".

Answer 2

Answer:

[tex]\boxed{x=-15+y}[/tex]

Step-by-step explanation:

Let the temperature on Feb 10, 1934 be x.

Let the temperature increase be y.

On Feb 9, the temperature was -15F.

On Feb 10, the temperature increased.

[tex]x=-15+y[/tex]


Related Questions

AACB ~AEFD
x = [?]
Enter your answer in decimal form.

Answers

Answer:

11.4

Solution,

ACB = EFD

finding the value of X,

[tex] \frac{x}{3.8} = \frac{15}{5} [/tex]

Apply cross product property

[tex]x \times 5 = 15 \times 3.8[/tex]

Calculate the product

[tex]5x = 57[/tex]

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{57}{5} [/tex]

Calculate

[tex]x = 11.4[/tex]

Hope this helps...

Good luck on your assignment...

Write the equations after translating the graph of y = |x|: one unit up,

Answers

Answer:

[tex]g(x) = |x| + 1[/tex]

Step-by-step explanation:

Given

[tex]y = |x|[/tex]

Required

Translate 1 unit up

Start by replacing y with f(x)

[tex]f(x) = |x|[/tex]

To translate an the graph of an absolute function upward, you make use of the formula;

[tex]g(x) = f(x) + k[/tex]

Where k is the number of units

In this case; [tex]k = 1[/tex]

Hence;

[tex]g(x) = f(x) + k[/tex]

Substitute [tex]k = 1[/tex]

[tex]g(x) = f(x) + 1[/tex]

Substitute  [tex]f(x) = |x|[/tex]

[tex]g(x) = |x| + 1[/tex]

Hence, the resulting equation is [tex]g(x) = |x| + 1[/tex]

A company finds that if they price their product at $ 35, they can sell 225 items of it. For every dollar increase in the price, the number of items sold will decrease by 5.


What is the maximum revenue possible in this situation? (Do not use commas when entering the answer) $


What price will guarantee the maximum revenue? $

Answers

The price that guarantees the maximum revenue is $40.

The maximum revenue possible in this situation is $8000.

Given that the company can sell 225 items at a price of $35, and for every dollar increase in price, the number of items sold decreases by 5, we can set up a relationship between price and quantity sold.

Let's denote the price as "P" and the quantity sold as "Q". We can express this relationship as follows:

Q = 225 - 5(P - 35)

This equation represents the decrease in quantity sold as the price increases.

To find the price that guarantees the maximum revenue, we need to find the price at which the quantity sold multiplied by the price is maximized. This is equivalent to finding the maximum value of the revenue function.

Revenue (R) is calculated as:

R = P × Q

To find the price that guarantees the maximum revenue, we need to maximize the revenue function R(P).

Let's substitute the expression for Q into the revenue function:

R(P) = P × (225 - 5(P - 35))

Now, simplify and expand the equation:

R(P) = P × (225 - 5P + 175)

= P × (400 - 5P)

To find the maximum revenue, we need to find the value of P that maximizes R(P). This can be done by finding the critical points of the function, which are the values of P where the derivative of R(P) equals zero.

Let's take the derivative of R(P) with respect to P:

dR(P)/dP = 400 - 10P

Setting the derivative equal to zero and solving for P:

400 - 10P = 0

10P = 400

P = 40

Therefore, the price that guarantees the maximum revenue is $40.

To find the maximum revenue, substitute P = 40 into the revenue function:

R(40) = 40 × (225 - 5(40 - 35))

= 40 × (225 - 5(5))

= 40 × (225 - 25)

= 40 × 200

= 8000

Hence, the maximum revenue possible in this situation is $8000.

To learn more about the derivative;

https://brainly.com/question/24898810

#SPJ12

Which parent function is represented by the graph?

A. The quadratic parent function
B. The absolute value parent function
C. An exponential parent function
D. The linear parent function

Answers

Answer:

D. The linear parent function

Step-by-step explanation:

Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable. The independent variable is commonly depicted as x while the dependent variable is y.

Thus a linear equation is an equation of the type y=ax where a is a constant term. The equation of a straight line graph his y=mx +c, where;

m= gradient of the straight line graph

x= the independent variable

y= the dependent variable

c= the vertical intercept

Answer:

The linear parent function :)

Step-by-step explanation:

convert 1000m to kilometres​

Answers

Answer:

1km

Step-by-step explanation:

1000m=1km

Ez Money

Answer:

1000m= 1km

if you convert 1m to km is 0.001km times it by 1000, you get 1km.

Find the volume of a cylinder with a radius of 2 and a length of 9

Answers

Answer:

V = pi 36 units^3

V =113.04 units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = pi ( 2) ^2 *9

V = pi 36

Letting pi = 3.14

V =113.04

A committee has members. There are members that currently serve as the​ board's . Each member is equally likely to serve in any of the positions. members are randomly selected and assigned to be the new . What is the probability of randomly selecting the members who currently hold the positions of and reassigning them to their current​ positions? The probability is nothing.

Answers

Complete Question

A committee has six members. There are three members that currently serve as the​ board's chairman comma vice chairman comma and treasurer . Each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman comma vice chairman comma and treasurer . What is the probability of randomly selecting the three members who currently hold the positions of chairman comma vice chairman comma and treasurer and reassigning them to their current​ positions?

The probability is ?

Answer:

The probability is [tex]P(3 ) = \frac{ 1 }{20 }[/tex]

Step-by-step explanation:

From the question we are told that

       The total number of members is  n = 6  

       The  number of member to be selected is  r =  3  

Generally the number of ways of selecting 3 members from 6  is mathematically evaluated as

          [tex]\left n } \atop {}} \right. C _r = \frac{n! }{(n-r ) ! r !}[/tex]

=>       [tex]\left 6 } \atop {}} \right. C _ 3 = \frac{6 ! }{(6-3) ! 3 !}[/tex]

=>        [tex]\left n } \atop {}} \right. C _r = \frac{6* 5* 4 * 3! }{3 ! 3*2 * 1}[/tex]

=>       [tex]\left n } \atop {}} \right. C _r = \frac{6* 5* 4 }{3 *2 * 1}[/tex]

=>        [tex]\left n } \atop {}} \right. C _r =20[/tex]

Now the number of ways of selecting the 3 members who currently hold the position is  n  = 1

  So the probability is mathematically represented as

                 [tex]p(k ) = \frac{ n }{\left n } \atop {}} \right. C _r }[/tex]

substituting values

                  [tex]P(3 ) = \frac{ 1 }{20 }[/tex]



Evaluate the following integrals

Answers

Answer:

a. (24 ln 2 − 7) / 9

b. x tan x + ln|cos x| + C

Step-by-step explanation:

a. ∫₁² x² ln x dx

Integrate by parts.

If u = ln x, then du = 1/x dx.

If dv = x² dx, then v = ⅓ x³.

∫ u dv = uv − ∫ v du

= (ln x) (⅓ x³) − ∫ (⅓ x³) (1/x dx)

= ⅓ x³ ln x − ∫ ⅓ x² dx

= ⅓ x³ ln x − ¹/₉ x³ + C

= ¹/₉ x³ (3 ln x − 1) + C

Evaluate between x=1 and x=2.

[¹/₉ 2³ (3 ln 2 − 1) + C] − [¹/₉ 1³ (3 ln 1 − 1) + C]

⁸/₉ (3 ln 2 − 1) + C + ¹/₉ − C

⁸/₉ (3 ln 2 − 1) + ¹/₉

⁸/₃ ln 2 − ⁸/₉ + ¹/₉

⁸/₃ ln 2 − ⁷/₉

(24 ln 2 − 7) / 9

b. ∫ x sec² x dx

Integrate by parts.

If u = x, then du = dx.

If dv = sec² x dx, then v = tan x.

∫ u dv = uv − ∫ v du

= x tan x − ∫ tan x dx

= x tan x + ∫ -sin x / cos x dx

= x tan x + ln|cos x| + C

if a 10 pound turkey cost 20.42 how much does 21 pound turkey cost

Answers

Answer:

$42.88

Step-by-step explanation:

We can set up a cross product fraction ratio to find how much 21 pounds of turkey costs.

[tex]\frac{10}{20.42} = \frac{21}{x}[/tex]

Let's apply the cross multiplication property.

[tex]20.42\cdot21=428.82[/tex]

Now we divide this by 10.

[tex]428.82\div10=42.882[/tex]

This simplifies down to [tex]42.88[/tex].

Hope this helped!

In 2009, a school population was 1,700. By 2017 the population had grown to 2,500. Assume the population is changing linearly. How much did the population grow between 2009 and 2017?

Answers

Answer:

100

Step-by-step explanation:

The population is changing linearly. This means that the population is increasing by a particular value n every year.

From 2009 to 2017, there are 8 increases and so, the population increases by 8n.

The population increased from 1700 to 2500. Therefore, the population increase is:

2500 - 1700 = 800

This implies that:

8n = 800

=> n = 800/8 = 100

The average population growth per year is 100.

Answer:

100

Step-by-step explanation:

aaaaa

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5. Point Q is the center of dilation. Square A B C D is dilated to created square A prime B prime C prime D prime. The length of B prime C prime is 24 feet. If the pool is to be 24 ft on each side, what is the length of one side of the hot tub? 4 ft 4.8 ft 6 ft 7.2 ft

Answers

Answer:

[tex]\boxed{Side \ Length \ of \ hot \ tub = 4.8\ ft.}[/tex]

Step-by-step explanation:

Scale Factor = 5

Also,

B'C' = 24 feet

Since both are squares so both have all sides equal.

Sqaure A'B'C'D' is dilated by a scale factor of 5

So,

AB = BC = CD = DA = 24/5 = 4.8 ft.

The length of one side of the hot tub is 4.8 feet and this can be determined by using the concept of dilation.

Given :

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5.Square A B C D is dilated to create square A prime B prime C prime D prime. The length of B prime C prime is 24 feet.

The following steps can be used in order to determine the length of one side of the hot tub:

Step 1 - According to the given data, the dilation factor is 5.

Step 2 - So, after the dilation by a factor of 'a' the length of the side be 'b' becomes 'ab'.

Step 3 - So, according to the given data, the length of B prime C prime is 24 feet. Therefore, after the dilation by a factor of 5, the length of the segment BC becomes:

[tex]\rm =\dfrac{24}{5}=4.8\;feet[/tex]

So, the length of one side of the hot tub is 4.8 feet. Therefore, the correct option is b).

For more information, refer to the link given below:

https://brainly.com/question/2856466

The instructor wants to give an A to the students whose scores were in the top of the class. What is the minimum score needed to get an A

Answers

Answer:

The minimum svore required to get an A is 85.3.

Step-by-step explanation:

Complete Question

Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 75 and a standard deviation of 8.

The instructor wants to give an A to the students whose scores were in the top 10% of the class. What is the minimum score needed to get an A?

Solution

Scores in the top 10% of the class will have a minimum greater than the remaining bottom 90% of the class.

If the minimum score for the top 10% of the class is x'

P(X ≤ x') = 90% = 0.90

If the z-score of this minimum score of the top 10%, x', is z'.

P(X ≤ x') = P(z ≤ z') = 0.90

using the z-distribution tables

z' = 1.282

But the z-score of any value is given as the value minus the mean divided by the standard deviation.

z = (x - μ)/σ

So,

z' = (x' - μ)/σ

Mean = 75

Standard deviation = 8

z' = 1.282

1.282 = (x' - 75)/8

x' = (1.282 × 8) + 75 = 85.256

= 85.3 to 3 s.f.

Hope this Helps!!!

Please help, I don’t need an explanation, just the answer.

Answers

Answer:

x=2 y=4

Step-by-step explanation:

If 100 envelope cost 70 cents how much would 250 cost

Answers

175 cents. hope this helps!

Answer:

178.5 actually

Step-by-step explanation:

If a pair of dice are rolled,
what is the probability that at least
one die shows a 5?

Answers

Answer:

11/36

Step-by-step explanation:

Find the probability that neither dice shows a 5 (also means the dice can show any number except 5- where there are 5 possible choices out of 6):

= 5/6 x 5/6

=25/36

If we subtract the probability that neither dice shows a 5, we can obtain the probability that at least 1 dice shows a 5- (either one of them is 5, or both of them is 5)

1- 25/36

=11/36

For each function, determine if it intersects or is parallel to the line y=−1.5x. If it intersects the line, find the intersection point. y=0.5x−6

Answers

Answer: the intersection point is (2.4, -4.8)

Step-by-step explanation:

A) we have the function:

y = 0.5*x - 6.

First we want to know if this function intersects the line y´ = -1.5*x

Now, first we can recall that two lines are parallel only if the slope is the same for both lines, here we can see that the slopes are different, so the lines are not parallel, which means that the lines must intersect at some point.

Now, to find the intersection point we asumme y = y´ and want to find the value of x.

0.5*x - 6 = -1.5*x

(0.5 + 1.5)*x - 6 = 0

2.5*x = 6

x = 6/2.5 = 2.4

Now, we evaluate one of the functions in this value of x.

y = 0.5*2.4 - 6 = -4.8

So the intersection point is (2.4, -4.8)

High temperatures in a certain city for the month of August follow a uniform distribution over the interval LaTeX: 61^{\circ}F61 ∘ Fto LaTeX: 91^{\circ}F91 ∘ F. Find the high temperature which 90% of the August days exceed.

Answers

Answer:

The required probability for the high temperature which 90% of the August days exceed. is 0.0333

Step-by-step explanation:

High temperatures in a certain city for the month of August follow a uniform distribution over the interval 61° F  to 91° F   . Find the high temperature which 90°  F of the August days exceed.

Let assume that X is the random variable

The probability mass function is:

[tex]f(x) = \dfrac{1}{b-a}[/tex]

[tex]f(x) = \dfrac{1}{91-61}[/tex]

[tex]f(x) = \dfrac{1}{30}[/tex]

Thus; The probability density function of X can be illustrated as :

[tex]f(x) = \left \{ {{ \ \ \dfrac{1}{30}} \atop { \limits }}_ \right. _0[/tex]       61 <  x < 91  or otherwise

The required probability for the high temperature at 90°  F can be calculated as follows:

[tex]P(X> 90) = \int\limits^{91}_{90} {f(x)} \, dx[/tex]

[tex]P(X> 90) = \int\limits^{91}_{90} \ {\dfrac{1}{30} \, dx[/tex]

[tex]P(X> 90) = {\dfrac{1}{30} \int\limits^{91}_{90} \ \, dx[/tex]

[tex]P(X> 90) = {\dfrac{1}{30} [x]^{91}_{90}[/tex]

[tex]P(X> 90) = {\dfrac{1}{30} (91-90)[/tex]

[tex]P(X> 90) = {\dfrac{1}{30} \times 1[/tex]

[tex]P(X> 90) = 0.0333[/tex]

The required probability for the high temperature which 90% of the August days exceed. is 0.0333

The height of the right circular cylinder is 10 cm and the radius of the base is 7 cm. Then, the difference between the total surface area and the curved surface area is a) 300 cm^2 b) 308 cm^3 c) 308 cm^2 d) 308 cm
plz answer it fast I will mark them as the brainlist​

Answers

Answer:

The answer is option C

308cm²

Step-by-step explanation:

Total surface area of a cylinder is

2πr( r + h)

The curved surface area of a cylinder is

2πrh

where r and h are the radius and height respectively

h = 10cm

r = 7cm

Total surface area is

2π×7( 7 + 10)

14π ( 7 + 10)

98π + 140π

238π

Which is

748 cm²

The curved surface area is

2π (7)(10)

140π

Which is

440cm²

The difference between the total surface area and the curved surface area of the cylinder is

748 cm² - 440cm²

= 308cm²

Hope this helps you

Please help. I’ll mark you as brainliest if correct!

Answers

Answer:

[tex]\large \boxed{\sf \ \ x=0, \ \ y=-5 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

We have two equations:

(1) -2x - 4y = 20

(2) -3x + 5y = -25

5*(1)+4*(2) gives

   -10x - 20y -12x + 20y = 100 - 100 = 0

   -22x = 0

   x = 0

I replace in (1)

   -4y = 20

   y = -20/4 = -5

There is one solution x = 0, y = -5

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

The two equations are

-2x-4y=20

-3x+5y=-25

multiply equation 1 by 5 and equation 2 by 4

-10x-20y=100

-12x+20y=-100

-22x=0

x=0

Substitute value in either equation

y=-5

So,option 1 is correct only one solution

Determine the margin of error in estimating the population mean, μ . A sample of 74 college students yields a mean annual income of Assuming that , find the margin of error in estimating μ at the 99% level of confidence.

Answers

Answer:

$253

Step-by-step explanation:

Margin of error is the critical value times the standard error.

MoE = z × σ/√n

At 99% confidence, z = 2.576.

MoE = 2.576 × 844/√74

MoE = 253

1. Find the sum of the first five (5) terms of the arithmetic progression
60 + 91 +122 ---.​

Answers

Step-by-step explanation:

to find the sum of nth term

equation is

n/2 ( 2a + (n-1)d) where a is the 1st term and d is the common difference

5/2 ( 120 +( 4 × 31))

5/2 ( 120 + 124)

5/2 × 244

5 × 122 dividing 244 by 2

610

Answer: 610

Step-by-step explanation:

This sequence starts at 60 and increases by increments of 31.  Thus, to get the last two numbers, do 122+31=153, and 153+31=184.  Then add 60+91+122+153+184 to get 610.

Hope it helps <3

The graph of f*x)=2^(x+3) shifts 10 units to the right when it is replaced with the graph of f(x)=2^(x-k). What is the value of k?

Answers

Answer:

7

Step-by-step explanation:

f(x) = 2^(x + 3)

Shifted 10 units to the right:

f(x) = 2^(x + 3 − 10)

f(x) = 2^(x − 7)

Therefore, k = 7.

Complete the following questions on the picture

Answers

Answer:

Step-by-step explanation:

Hello!

For this particular organism population the growth rate is so that is doubled every 20 years. Using the starting population of 9 billion individuals by year 2000 you have to calculate the expected population values every 20 years.

All you have to do is multiply the original population by 2 to obtain the next value.

Year 2000:

Population: 9*10⁹ or 9 000 000 000 x 2= 18 000 000 000

To express 18 billion in  scientific notation you have to add a "comma" after the first digit and then count the number of digits behind it:

1, 8 000 000 000 there are 10 digits behind the first digit. This notation  summarizes the number in base 10 exponents so 18 billion in scientific notation is:

1.8 * ten "exponent the number of digits behind the comma"

1,8*10¹⁰So the population for year 2020 will be 1,8*10¹⁰

Next for year 2040 you have to multiply the population of year 2020 by 2

1,8*10¹⁰ x 2= 3,6*10¹⁰

And so on:

2060: 3,6*10¹⁰ x 2)= 7.2*10¹⁰

2080: 7.2*10¹⁰ x2= 1.44*10¹¹

2100: 1.44*10¹¹ x2= 2.88*10¹¹

2120: 2.88*10¹¹x2= 5.76*10¹¹

2140: 5.76*10¹¹x2= 1.152*10¹²

2160: 1.152*10¹²x2= 2.304*10¹²

2180: 2.304*10¹²x2= 4.608*10¹²

2200: 4.608*10¹² x2= 9.216*10¹²

2220: 9.216*10¹²x2= 1.8432*10¹³

2240: 1.8432*10¹³x2= 3.6864*10¹³

2260: 3.6864*10¹³x2= 7.3728*10¹³

2280: 7.3728*10¹³x2= 1.47456*10¹⁴

2300: 1.47456*10¹⁴x2= 2.94912*10¹⁴

2320: 2.94912*10¹⁴x2= 5.89824*10¹⁴

2340: 5.89824*10¹⁴x2= 1.179648*10¹⁵

2360: 1.179648*10¹⁵x2= 2.359296*10¹⁵

2380: 2.359296*10¹⁵x2= 4.718592*10¹⁵

2400: 4.718592*10¹⁵x2= 9.437184*10¹⁵

So for year 2400 the expected population will be 9.437184*10¹⁵, writen in common notation that is:

9 437 184 000 000 000 individuals

I hope this helps!

Given: FGKL is a trapezoid, m∠F=90°, m∠K=120°, FK=LK=a Find: The length of midsegment.

Answers

Answer:

  (3/4)a

Step-by-step explanation:

The angle at K is 120°, so the angle at L is its supplement: 60°. That makes triangle FKL an equilateral triangle with a base of FL = a. The vertex at K is centered over the base, so is a/2 from G.

The midsegement length is the average of GK and FL, so is ...

  midsegment = (GK +FL)/2 = (a/2 +a)/2

  midsegment = (3/4)a

The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm.
(a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.)
cm2
What is the relative error? (Round your answer to three decimal places.)
(b) Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer.)
cm^3
What is the relative error? (Round your answer to three decimal places.)

Answers

Answer:

Error in the sphere's surface: 29 [tex]cm^2[/tex]  and relative error in surface measure: 0.011

Error in the sphere's volume: 205 [tex]cm^3[/tex] and relative error in the volume measure: 0.017

Step-by-step explanation:

(a)

The measured length (l) of the circumference is 90 cm with an error of 0.5 cm, that is:

[tex]l=2\,\pi\,R=90\,cm\\R=\frac{90}{2\,\pi} \,cm=\frac{45}{\pi} \,cm=14.3239\,\,cm[/tex]

and with regards to the error:

[tex]dl=0.5 \, cm\\dl=2\,\pi\,dR\\dR=\frac{dl}{2\,\pi} =\frac{1}{4\,\pi} cm = 0.0796\,cm[/tex]

then when we use the formula for the sphere's surface, we get:

[tex]S=4\,\pi\,R^2\\dS=4\,\pi\,2\,R\,(dR)\\dS=8\,\,\pi\.(\frac{45}{\pi} \,\,cm)\,(\frac{1}{4\pi}\,cm) =\frac{90}{\pi} \,\,cm^2\approx \,29\,cm^2[/tex]

Then the relative error in the surface is:

[tex]\frac{dS}{S} =\frac{90/\pi}{4\,\pi\,R^2} =\frac{1}{90} =0.011[/tex]

(b)

Use the formula for the volume of the sphere:

[tex]V=\frac{4\,\pi}{3} R^3\\dV=\frac{4\,\pi}{3}\,3\,R^2\,(dR)=4\,\pi\,R^2\,(\frac{1}{4\pi}) \,cm=(\frac{45}{\pi})^2 \,\,cm^3\approx 205\,\,cm^3[/tex]

Then the relative error in the volume is:

[tex]\frac{dV}{V} =\frac{205}{12310.5} \approx 0.017[/tex]

Simplify the expression by using the properties of rational exponents. Write the final answer using positive exponents only. (x4y8)2/3

Answers

Answer:

[tex]x^\frac{8}{3} y^\frac{16}{3}[/tex]

Step-by-step explanation:

Given the expression [tex](x^4y^8)^\frac{2}{3}[/tex], to simplify the expression using the rational exponents;

Applying one of the law of indices to simplify the expression;

[tex](a^m)^n = a^{mn}[/tex]

[tex](x^4y^8)^\frac{2}{3}\\\\= (x^4)^\frac{2}{3} * (y^8)^\frac{2}{3}\\\\= x^{4*\frac{2}{3} } * y^{8*\frac{2}{3} }\\\\= x^\frac{8}{3} * y^\frac{16}{3}\\ \\The \ final \ expression \ will \ be \ x^\frac{8}{3} y^\frac{16}{3}[/tex]

What equation results from completing the square and then factoring? x^2+22x=31 A.(x+22)^2=53 B.(x+22)^2=152 C.(x+11)^2=152 D.(x+11)^2=53

Answers

Answer:

[tex]\boxed{\mathrm{Option \ C}}[/tex]

Step-by-step explanation:

=> [tex]x^2+22x = 31[/tex]

=> [tex](x)^2+2(x)(11) = 31[/tex]

Since b = 11 , So [tex](11)^2[/tex] needs to be added to both sides

Adding [tex](11)^2[/tex]  to both sides

=> [tex](x)^2+2(x)(11)+(11)^2 = 31+(11)^2[/tex]

Completing the square

=> [tex](x+11)^2 = 31+121[/tex]

=> [tex](x+11)^2 = 152[/tex]

PLEASE HELP I WILL GIVE BRAINLIEST TO CORRECT ANSWER




A greengrocer has 38 lb of carrots when he opens on Monday morning. During the day
he gets a delivery of 60lb of carrots and sells 29 lb of the carrots. How many pounds of
carrots are left when he closes on Monday evening?

Answers

Answer:

9 is the answer

Step-by-step explanation:

got a delivery of 60ib...but dont have enough .thats why he or she sells 29..totally he or she have 38ib of carrots ...so when we subtract 38_29

its =9

3(4a+b) What matches this equation

Answers

Answer:

12a + 3b.

Step-by-step explanation:

3(4a + b)

= 3 * 4a + 3 * b

= 12a + 3b.

Hope this helps!

Answer:

[tex]12a+3b[/tex]

Step-by-step explanation:

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=3,\:b=4a,\:c=b\\=3\times \:4a+3b\\\mathrm{Multiply\:the\:numbers:}\:3\times \:4=12\\=12a+3b[/tex]

Apply the distributive property to factor out the greatest common factor. 56+32=56+32=56, plus, 32, equals

Answers

Answer:

8(7 + 4) = 88

Step-by-step explanation:

56:

1 x 56

2 x 28

4 x 14

7 x 8

32:

1 x 32

2 x 16

4 x 8

Answer:

8(7+4)

Step-by-step explanation:

Other Questions
Which of the following sentences includes elements of vernacular orcolloquial language?A. But McCandless never mentioned any romantic entanglements toeither Westerberg or BorahB. Alex wasn't a total space cadet or anything: don't get me wrong.But there was gaps in his thinking.O c. Westerberg's latter conjecture, as it tumed out, was a fairly astuteanalysis.O D. Nor was McCandless endowed with a surfeit of common sense. right here press the picture Whats the input value of f(x)=2x+5 About how many times more likely is a 17-year-old driver to crash with three passengers than with one passenger? about twice as likely about three times as likely about four times as likely about five times as likely An insulated beaker with negligible mass contains liquid water with a mass of 0.285 kg and a temperature of 75.2 C How much ice at a temperature of -22.8 C must be dropped into the water so that the final temperature of the system will be 32.0 C ? Take the specific heat of liquid water to be 4190 J/kgK , the specific heat of ice to be 2100 J/kgK , and the heat of fusion for water to be 3.34105 J/kg 2. What are five key points that help develop the central idea of Down and Dirty: Do Men and Woman Perceive Cleanliness Differently? A country has been in existence for only two years. In the first year, receipts were $1.0 million and outlays were $1.5 million. In the second year, receipts were $1.5 million and outlays were $2.0 million. At the end of the second year, the government had issued debt worth______ Find the median of the data in the dot plot below. Which of the following symbols is critical to the theme of heritage in Everyday Use? 1)Wangeros sunglasses. 2)The churn top. 3)Maggies burns. 4)The TV show. Let f(x) = 5x + 4 and g(x) = 2x + 1. Find the indicated value g(4) plz help quickly A generator rotates at 95 Hz in a magnetic field of 0.025 T. It has 550 turns and produces an rms voltage of 170 V and an rms current of 60.0 A.Required:a. What is the peak current produced?b. What is the area of each turn of the coil? Suppose you have a triangle, and you want to construct a similar triangle. Which twotransformations will result in a triangle that is similar, but is not congruent?Rotation and ReflectionReflection and TranslationReflection and DilationTranslation and Rotation what is the distance formula Construct a 99% confidthence interval for the population mean .Assume the population has a normal distribution. A group of 19 randomly selected employees has a mean age of 22.4 years with a standard deviation of 3.8 years. Round to the nearest tenth.A) Determine the critical value ta/2 with n-the 1 degrees of freedomB) Determine the lower and upper bound of the confidence intervalC) Interpret the confidence interval. If theta is 30 degrees and there is no friction, what would be the block's acceleration down the incline, in meters per second squared? simplify 3(8-4)^2+7*9 Does this table represent a function? Why or why not? A couch sells for $820. Instead of paying the total amount at the time of purchase, the same couch can be bought by paying $400 down and $60 per month for 12 months. How much is saved by paying the total amount at the time of purchase? A 20-year maturity bond with par value $1,000 makes semiannual coupon payments at a coupon rate of 8%. Find the bond equivalent and effective annual yield to maturity of the bond if the bond price is $950. (Round your intermediate calculations to 4 decimal places. Round your answers to 2 decimal places.) find the slope (7,1)(5,0)