Simplify the algebraic expression by combining like (or similar) terms.

2x−y2+3−3y2+2x+1

Answers

Answer 1

Answer:

-4y^2 + 4x +4

Step-by-step explanation:

add -y^2 and -3y^2 = -4y^2

add 2x + 2x = 4x

add 3+1 = 4

and then rearrange


Related Questions

You are playing a version of the roulette game, wherethe pockets arefrom 0 to 12 and even numbers are red and odd numbersare black (0 isgreen). You spin 3 times and add up the values yousee. What is theprobability that you get a total of 17 given on thefirst spin youspin a 2

Answers

Using the concept of probability, it is found that there is a 0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.

-------------------------------------

A probability is the number of desired outcomes divided by the number of total outcomes.Since you spin a 2 on the first trial, the probability desired is equivalent to the probability of finding a sum of 15 in the next two trials.

-------------------------------------

In each trial, there are 13 possible outcomes(pockets numbered from 0 to 12), so the total number of outcomes is:

[tex]T = 13^2 = 169[/tex]

-------------------------------------

The desired outcomes are those who result in a sum of 15. Thus, they are:

(3,12), (4,11), (5,10), (6,9), (7,8), (8,7), (9,7), (10,5), (11,4), (12,3).That is, 10 desired outcomes, so [tex]D = 10[/tex].

-------------------------------------

Thus, the probability is:

[tex]p = \frac{D}{T} = \frac{10}{169} = 0.0592[/tex]

0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.

A similar problem is given at https://brainly.com/question/21444373

1106.666667 To the nearest whole number

Answers

Answer:

1107.

You are rounding up because the number in the tenths slot is over 5.

[tex]\sqrt{25}[/tex]=?

Answers

[tex]Hello[/tex] [tex]There[/tex]

The answer is...

[tex]5.[/tex]

[tex]HopeThisHelps!![/tex]

[tex]AnimeVines[/tex]

Hi the answer is 5 to this problem
Hope it helps.

Help me with this please

Answers

9514 1404 393

Answer:

   B.  √6

Step-by-step explanation:

The circles are not tangent to one another. If they were, the distance between their centers would be the sum of their radii: 1 +1 = 2.

__

The center of the first circle is (√3, √3), and the center of the second is the origin. The distance between these two centers is given by the distance formula:

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((√3 -0)^2 +(√3 -0)^2) = √(3+3) = √6 . . . . matches choice B

Solve this inequality:
-9 > 3b + 6

Answers

Answer:

- 5 > b

Step-by-step explanation:

- 9 > 3b + 6

- 9 - 6 > 3b

- 15 > 3b

Divide 3 on both sides,

- 5 > b

Answer:

-5 >b

Step-by-step explanation:

-9 > 3b + 6

Subtract 6 from each side

-9-6 > 3b + 6-6

-15 > 3b

Divide each side by 3

-15/3 > 3b/3

-5 >b

You work as an assistant to a carpenter who designed the tabletop below. He tells you that each shape is a right triangle, and each is the same size. You now need to calculate the area of one triangle so that you can begin building the tabletop. What is the area of each triangle in square inches? 28 1/4" and 20"

Answers

Answer:

A. 200 square inches

Step-by-step explanation:

First, use Pythagorean Theorem to find the base of each triangle.

[tex]a^2+b^2=c^2\\20^2+b^2=(28\frac{1}{4})^2\\400+b^2=798.0625\\b^2=398.0625\\b=\sqrt{398.0625}\\b=19.9515037[/tex]

Finally, use the area of a triangle formula to find the area of each triangle.

[tex]A=\frac{1}{2}bh\\A=\frac{1}{2}(19.9515037)(20)\\A=199.515037[/tex]

Therefore, the area of each triangle is approximately 200 in².

The area of each triangle in square inches is 200 square inches.

What is the area of triangle?

The area of triangle is defined as the region enclosed by its perimeter or the three sides of triangle.

Mathematically,

Area of triangle = 1/2(base*height)

Now given that,

Base of the triangle, B = 20''

Hypotenuse of the triangle, H = 28(1/4)'' = 28.25''

So, Height of the triangle, P = [tex]\sqrt{H^2 - B^2}[/tex]

or,  Height of the triangle, P = [tex]\sqrt{28.25^2 - 20^2}[/tex]

or,  Height of the triangle, P = [tex]\sqrt{398.0625} }[/tex]

or,  Height of the triangle, P = 19.95 inches

Finally, use the area of a triangle formula to find the area of each triangle.

Area of triangle = 1/2*(BasexHeight)

Area of triangle = 1/2*(20x19.95)

Area of triangle = 1/2*399

Area of triangle = 199.5 square inches

or, Area of triangle ≈ 200 square inches.

Hence, The area of each triangle in square inches is 200 square inches.

More about triangle :

https://brainly.com/question/14057700

#SPJ2

Sharla invests $275 in a simple interest bearing account for 16 years. The annual interest rate is 8%. Using the simple
interest formula, / -Prt, how much interest will Sharla's initial investment earn over the 16 year period?
$297
$319
$352
$627

Answers

Answer:

352

Step-by-step explanation:

I = PRT  where P is the principle, I is the interest rate, T is the time

I = 275 ( .08) ( 16)

I = 352

Functions f and g are defined for all real
numbers. The function f has zeros at -2, 3, and 7:
and the function g has zeros at -3, -1, 4, and 7.
How many distinct zeros does the product
function f g have?

Answers

9514 1404 393

Answer:

  6

Step-by-step explanation:

The number of distinct zeros in the product will be the union of the sets of zeros. Duplicated values are not distinct, so show in the union of sets only once.

  F = {-2, 3, 7}

  G = {-3, -1, 4, 7}

  F∪G = {-3, -2, -1, 3, 4, 7} . . . . . . a 6-element set

The product has 6 distinct zeros.

_____

As you may notice in the graph, the duplicated zero has a multiplicity of 2 in the product.

Solve the word problems. The price of a bed was $2600. MDM Yap bought the bed and had to pay an additional 7% GST. (a) What was the amount of GST she had to pay? (b) What was the price of the bed including GST?​

Answers

Answer:

Step-by-step explanation:

This graph describes which of the expressions given?

Answers

The answer is c
Hope this helps!

Please answer ASAP!!!!

Answers

Answer:

0

Step-by-step explanation:

0

log_c(A)=2
log_c(B)=5,
solve log_c(A^5B^3)

Answers

We know that [tex]\log_a(bc)=\log_a(b)+\log_a(c)[/tex].

Using this rule,

[tex]\log_c(A^5B^3)=\log_c(A^5)+\log_c(B^3)[/tex].

We also know that [tex]\log_c(a^b)=b\log_c(a)[/tex].

Using this rule,

[tex]\log_c(A^5)+\log_c(B^3)=5\log_c(A)+3\log_c(B)[/tex]

Now we know that [tex]\log_c(A)=2,\log_c(B)=5[/tex] so,

[tex]5\cdot2+3\cdot5=10+15=\boxed{25}[/tex].

Hope this helps :)

Find the missing side of the triangle

Answers

Answer:

x = 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Pytago:

[tex]2^2 + 4^2 = x^2\\x = \sqrt{2^2 + 4^2} \\x = 2\sqrt{5}[/tex]

Answer:

4.47

Step-by-step explanation:

x²= 2² + 4²

x² = 4 + 16

x²= 20

x = √20

x= 4.47

URGENT!! (Picture included)

Answers

Answer:

-85

Step-by-step explanation:

You can use calculator for this question

A local rectangular shaped pool used by lap swimmers has dimensions 25 yd by 30 yd and is 5.1 feet deep. Find the cost for filling the pool if the city charges $1.50 per 1000 gallons. Use the conversion 1 gallon

Answers

Answer:

the cost of filling the pool is $386.3

Step-by-step explanation:

Given;

dimension of the rectangular pool, = 25 yd by 30 yd by 5.1 ft

covert the given dimensions to feet;

1 yd = 3 ft

25 yd = 25 x 3 ft = 75 ft

30 yd = 30 x 3 ft = 90 ft

The volume of the rectangular pool in cubic feet (ft³);

Volume = 75 ft  x 90 ft  x 5.1 ft

Volume = 34,425 ft³

Convert the volume to gallons;

1 ft³ = 7.481 gallons

10,125 ft³ = 34,425 x 7.481 gallons

               = 257,533.425 gallons

The cost per a 1000 gallons is $1.50, then cost of the 257,533.425 gallons is calculated as;

[tex]cost = \frac{\$ 1.50}{1000 \ gallons} \times 257,533.425 \ gallons = \$ 386.3[/tex]

Therefore, the cost of filling the pool is $386.3

Hey good morning I need help ASAP thank you guys

Answers

Answer:

B. x = 2.77

Step-by-step explanation:

3^x = 21

You first look for a base for 21 that is 3 to the power of something.

21 = 3^2.77

So 3^x = 2^2.77

They have the same base so

x= 2.77

1. On the set of axes below, graph . State the roots of

Answers

Is this question complete?

Give a vector parametric equation for the line through the point (−2,−4,0) that is parallel to the line ⟨−2−3t,1−4t,−5t⟩:

Answers

The tangent vector for the given line is

T(t) = d/dt ⟨-2 - 3t, 1 - 4t, -5t⟩ = ⟨-3, -4, -5⟩

On its own, this vector points to a single point in space, (-3, -4, -5).

Multiply this vector by some scalar t to get a whole set of vectors, essentially stretching or contracting the vector ⟨-3, -4, -5⟩. This set is a line through the origin.

Now translate this set of vectors by adding to it the vector ⟨-2, -4, 0⟩, which correspond to the given point.

Then the equation for this new line is simply

L(t) = ⟨-3, -4, -5⟩t + ⟨-2, -4, 0⟩ = ⟨-2 - 3t, -4 - 4t, -5t

The vector parametric equation for the line through the point is [tex]r = (-2, \ -4, \ 0) +(-3, \ -4, \ -5)t\\\\[/tex].

Given

Give a vector parametric equation for the line through the point (−2,−4,0) that is parallel to the line ⟨−2−3t,1−4t,−5t⟩.

What is a parametric equation vector?

Parametric equations of the line segment are defined by its endpoints.

To find the vector equation of the line segment, we’ll convert its endpoints to their vector equivalents.

Two lines are parallel if they have the same direction, and in the parametric form, the direction of a line is always the vector of constants that multiply t (or the parameter).

The vector equation of a line is given by:

[tex]\rm v = r_0+tv[/tex]

Where v is the direction vector and [tex]\rm r_0[/tex] is a point of the line.

The tangent vector for the given line is

T(t) = d/dt ⟨-2 - 3t, 1 - 4t, -5t⟩ = ⟨-3, -4, -5⟩

Here,

[tex]\rm r_0 = (-2,-4,0) \ and \ v=(-3, \ -4, \ -5)t\\\\[/tex]

Then,

[tex]r = (-2, \ -4, \ 0) +(-3, \ -4, \ -5)t\\\\[/tex]

x = -2-3t, y = -4-4t, and z = 0-5t

To know more about the Parametric equation click the link given below.

https://brainly.com/question/14701215

2. What amount of money must Kurt Blixen invest at 4.75% to have it earn $10,000 in 90 days?

Answers

Kurt Blixen must invest $85,2296.94.

Given the following data;

Interest rate = 4.75%Simple interest = $10,000Time = 90 days

To find how much money Kurt Blixen must invest;

Mathematically, simple interest is given by the formula;

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.

First of all, we would convert the time in days to years.

Conversion:

365 days = 1 year

90 days = x year

Cross-multiplying, we have;

[tex]365 * x = 90\\\\x = \frac{90}{365}[/tex]

x = 0.247 year

Making P the subject of formula;

[tex]P = \frac{S.I(100)}{RT}[/tex]

Substituting the values into the formula, we have;

[tex]P = \frac{10000(100)}{4.75*0.247}\\\\P = \frac{1000000}{1.1733}[/tex]

P = $85,2296.94

Therefore, Kurt Blixen must invest $85,2296.94.

Find more information here; https://brainly.com/question/9352088

Determine the degree of the term 2^3x2yz4

Answers

Answer:

7

Step-by-step explanation:

It looks like the term is [tex]2^3}x^2}yz^4[/tex]

First simplify

[tex]8x^2}yz^4[/tex]

[y has an exponent of 1 btw]

Then to find the degree of a term, just add up the values of all the exponents

2+1+4=7

I hope this helps!

Express 5 cm in metre and kilometre.in decimals........................ ncert maths class 7 pls
will be marked as brainliest trust me ​

Answers

Answer:

Converting into metre (1m=100cm)= 5/100=0.05m.. Converting into km. (1km=100000cm). so 5 cm=5/100000=0.00005km.

Answer:

5cm in meters = 0.05 metre

5cm in kilometres = 0.00005km

Suppose a professional baseball player hit 55 home runs his first season, 58 his second,
and 69 his third. How many home runs would he need to hit in the current season so that
his average for the 4 years is no less than 59?

Answers

Answer:

About 54

Step-by-step explanation:

To work backwards from average, you need to multiply the average by the total number of cases, which is 4, since there are 3 current cases/seasons and you want the 4th.

59 * 4 =  236

You then subtract the total home runs that you know of from 236.

236 - 55 - 58 - 69 = 54

To find average, you are adding to the total and then dividing by the number of groups, which is essentially mean (mean is basically the average).

What is the value of log,1252
PERE
3
5
Ο ΟΟΟ
15
Mark this and return
Save and Exit
Next

Answers

2 by 5 t get you 15k

How many numbers multiple of 3 are in the range [2,2000]?

Answers

Answer: so there are 666 multiples of 3 between 2 and 2000.

Step-by-step explanation:

the smallest number = 3 which is 3*1. The largest number is = 1998 = 3*666

multiples of 3 between {2,2000} = 666-1+1 = 666

solve for x . please help also don’t forget to show work

Answers

Answer:

X-4x+11=8

-3x+12-8=0

-3x+4=0

3x=4

X=4/3

Answer:

x = 4/3 or 1.3

Step-by-step explanation:

Combine like terms

8 = -3x + 12

Move the terms

3x = 12 - 8

Calculate

3x = 4

Divide both sides by 3

x = 4/3

or

x = 1.3

Help please ……………….zzzz

Answers

1) I think 15 choose (d)

2) The choose (C) -4fg+4g

3) The choose (d) 3xy/2

4) The choose (a) ab/6

5) The choose (C) 2p+4q-6

6)

[tex]\pi {r}^{2} h = 3.14 \times {3}^{2} \times 1.5 = 42.39 {m}^{3} = 42.390 {m}^{3} [/tex]

Point 6 I think there is an error because the unit m must be m³ because it is r² (m²) and h(m) becomes m³.

I hope I helped you^_^

In an accelerated failure test, components are operated under extreme conditions so that a substantial number will fail in a rather short time. In such a test involving two types of microchips, 580 chips manufactured by an existing process were tested, and 125 of them failed. Then, 780 chips manufactured by a new process were tested, and 130 of them failed. Find a 90% confidence interval for the difference between the proportions of failures for chips manufactured by the two processes. (Round the final answers to four decimal places.) The 90% confidence interval is

Answers

Answer:

The 90% confidence interval is (0.0131, 0.0845).

Step-by-step explanation:

Before finding the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Old process:

125 out of 580, so:

[tex]p_O = \frac{125}{580} = 0.2155[/tex]

[tex]s_O = \sqrt{\frac{0.2155*0.7845}{580}} = 0.0171[/tex]

New process:

130 out of 780. So

[tex]p_N = \frac{130}{780} = 0.1667[/tex]

[tex]s_N = \sqrt{\frac{0.1667*0.8333}{780}} = 0.0133[/tex]

Distribution of the difference:

[tex]p = p_O - p_N = 0.2155 - 0.1667 = 0.0488[/tex]

[tex]s = \sqrt{s_O^2+s_N^2} = \sqrt{0.0171^2 + 0.0133^2} = 0.0217[/tex]

Confidence interval:

[tex]p \pm zs[/tex]

In which

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

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower bound of the interval is:

[tex]p - zs = 0.0488 - 1.645*0.0217 = 0.0131[/tex]

The upper bound of the interval is:

[tex]p + zs = 0.0488 + 1.645*0.0217 = 0.0845[/tex]

The 90% confidence interval is (0.0131, 0.0845).

Researchers wanting to assess skin irritation associated with a new sunscreen developed for those with photosensitivity. They randomly sample 240 men with a history of photosensitivity and 240 men without a history of photosensitivity and ask them to apply the cream and report the level of skin irritation they experience after spending 20 minutes in the sun using a scale of 0-10. The average skin irritation score for the group with a history photosensitivity was 1.2 and the average skin irritation score for the group without a history of photosensitivity was 1.4. The Levene's test for equality of variances had a p value of 0.08. You know this means:
A. The researchers should report the t test results assuming equal variances. Select The researchers should report the t test results NOT assuming equal variances. as your answer
B. The researchers should report the t test results NOT assuming equal variances.
C. The researchers should reject the null hypothesis and report there is a difference in the average skin irritation score.
D. The researchers should fail to reject the null hypothesis and conclude there is NOT a difference in the average skin irritation score.

Answers

Answer:

Blablabka

Step-by-step explanation:

Blablabla

Use the distributive property to find the product of the rational number.
5/2 (- 8/5 + 7/5)

Answers

9514 1404 393

Answer:

  -1/2

Step-by-step explanation:

The factor outside parentheses multiplies each term inside.

  5/2(-8/5 +7/5)

  = (5/2)(-8/5) +(5/2)(7/5)

  = -8/2 +7/2 = -1/2

Mary spent $4 more than 1/8 of her original amount of money on a bag. She then
Spent $12 more than 2/3 of her remaining money on groceries.Given that Mary had $24 left,how much did the bag cost?

Answers

Answer:

464 $

Step-by-step explanation:

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