Joe wants to build a doll house for his daughter. He wants the doll house to look just like his house. His house is 29 feet wide and 32 feet tall at the highest point of the roof. If the dollhouse will be 2.5 feet wide, how many feet will its highest point be? (Round your answer to one decimal place.)

Answer:

  1a: f(x) = x³ -6x² +9x -4

  1b: no breaks; the function is defined everywhere

  2a: (-∞, 5]

  2b: y = -3; y = -1

  2c: x → -∞, y → -3; x → ∞, y → -1

Step-by-step explanation:

The factored form of f(x) is ...

  f(x) = (x -4)(x -1)²

  f(x) = (x -4)(x² -2x +1) = x³ -2x² +x -4x² +8x -4

  f(x) = x³ -6x² +9x -4

__

The function h(x) is defined for all values of x to be either f(x) or g(x). The function f(x) is a polynomial function, so has no breaks in its domain. The function g(x) is defined for all values of x, so has no breaks in its domain.

There are no breaks in the domain of h(x).

__

See the attachment for a graph.

  -∞ < y ≤ 5 . . . . range of f(x)

__

The asymptote as x → -∞ is the asymptote of the exponential function. The exponential term has an asymptote of y=0, but shifting it down 3 units means the asymptote is 0 -3:

  x → -∞, y → -3 . . . . asymptote is y = -3

The asymptote as x → ∞ is the asymptote of the rational expression. That is the ratio of the leading terms: -x²/x² = -1.

  x → ∞, y → -1 . . . . asymptote is y = -1

__

See part B.

Answer:

7,7,20 I think

Step-by-step explanation:

7+7 is less then 20

Answer:

2

Step-by-step explanation:

Leah uses 1/4 cup of chocolate chips for 2/3 cups of batter, so if Leah uses 3/4 cup of chocolate chips, she should use 2 cups of batter.

Area = length x width

Area of square = 8 x 8 = 64 square inches

Area of rectangle = 24 x 20 = 480 square inches

Area of rectangle surrounding the square = 480 - 64 = 416 square inches

Answer: 416 square inches

Answer:

3/5*5/7*14/3-2/5

8/5...

Answer:

71.02

Step-by-step explanation:

x is the number of days

1 week = 7 days

-3.64 (7) + 96.5 = 71.02

Answer:

[tex]x=k\frac\pi2; k\in \mathbb{Z}[/tex]

Step-by-step explanation:

Let's use the formulas that change a sum of two sines into a product:

[tex]sin\ p + sin\ q =2 sin{\frac{p+q}2}cos{\frac{p-q}2}[/tex]

[tex]sin 3x+sinx =2sin \frac{3x+x}2 cos \frac{3x-x}2 = 2(sin2x)(cosx)=0[/tex]

At this point it's either [tex]sin 2x =0 \implies 2x= k\pi \rightarrow x = k\frac{\pi}2[/tex]

or [tex]cosx=0 \rightarrow x=\frac\pi2+ k\pi = (2k+1)\frac\pi2[/tex]

with the usual condition of [tex]k\in \mathbb{Z}[/tex].

Now if you look at both sets of solutions, first one considers all multiples of [tex]\frac\pi2[/tex], while the second only the odd multiples. it means that the first includes the second.

Answer:

three hundred twenty one and fifty one hundredths

Answer:

1 2/3

Step-by-step explanation:

5 pizzas divided by 3 people = 1 2/3

well, a WHOLE is 1, which we can split in many fractions, say 5/5, 10/10 or 999/999 and so on.

we know 1/5 of the jar is chocolate chip, and there's the rest, well, the Whole jar in 5ths have to be 5/5, if we take away 1/5 from 5/5, the "rest" is 5/5 - 1/5 = 4/5.

now, we also know that 1/2 of the "rest" is peanut butter, or namely that 1/2 of 4/5 is peanut butter, how much will that be?  let's divide 4/5 by 2

[tex]\cfrac{4}{5}\div 2\implies \cfrac{4}{5}\div \cfrac{2}{1}\implies \cfrac{4}{5}\cdot \cfrac{1}{2}\implies \cfrac{4}{10}\implies \cfrac{2}{5}[/tex]

Answer:

Step-by-step explanation:

We can use the compound interest formula to find how much money he will have after 4 years:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex] ;

where

A= final amount

P= initial amount

r= interest rate

n= number of times interest applied per time period

t= number of time periods elapsed,

so from the given information, we know that 1500 is our initial amount, so P= 1500.

Annual interest means once a year, so n= 1, and the interest rate is 4%, so r= 4% or 0.04

and we are asked to find the amount in his account after 4 years, so t= 4

Now, all we need to do is plug in these values for each of the variables and solve.

[tex]A= 1500(1+\frac{0.04}{1} )^{(1)(4)}[/tex]

and we get

A= $1,754.79

Answer:

  10,4%

Step-by-step explanation:

The percentage change is found from ...

  (amount of change)/(original amount) × 100%

  (17,90 -16,22)/(16,22) × 100% = 1,68/16,22 × 100% ≈ 10,358% ≈ 10,4%

Answer:

9b+10s

Step-by-step explanation:

you are trying to find an expression for total cost after an unknown amount of hours. you need to multiply the number of hours (defined as b and s in this example) by the cost per hour given ($9/hr for the bike and $10/hr for the scooter).

this would result in the following expression: total cost=9b+10s

Refer to attatchment.

Answer:

4x2+4x-5

Step-by-step explanation:

Hopes this helps

Plz markas brainliest

Answer:

Yes, it is a possible solution for Y >/= 5x+7

Step-by-step explanation:

You plug in the values (x,y) ie (-2,5):

5(-2)+7=-3

-3<5 so -3 is less than 5.

Thus, Y is greater than 5x+7 at (-2,5).

Answer:3hrs 16min

Step-by-step explanation:

392/120 = 49/15 hours = 3 hours + 4/15 hours = 3 hours + 4/15 x 60 min = 3 hours + 16 min

Answer:

Angle 4 also has a measurement of 34 degrees because opposite angles of intersecting lines are congruent. In other words, angles 2 and 4 are congruent, so are angles 1 and 3.

Answer:

A-4.51

Step-by-step explanation:

I was going to ask to what place but then I saw all the others wouldn't make sense.

Answer:

If I am thinking right ya

Step-by-step explanation:

Answer:

Step-by-step explanation:

no mate

your answers for consecutive interior angles are wrong, the answers for that

8 and 13     and    3and 10  should go into the alternate interior angles section

and 2 and 11  should go into the alternate exterior angles section

Answer:a

Step-by-step explanation:

Reduced fractions with denominators that are factors of 2 or 5. Therefore, the correct answer is option B.

Terminating decimals are integers with a definite or finite number of digits following the decimal point. Like fractions, decimal numbers are used to represent a portion of a whole. This course will concentrate on the type of decimal numbers known as terminating decimal numbers. The word 'terminate' means to put a stop to something. In decimal terms, it is a number that comes to an end.

Here are a few tips to assist you identify a terminating decimal number.

Therefore, the correct answer is option B.

Learn more about the terminating fraction here:

https://brainly.com/question/5286788.

#SPJ3

The percentage of motorists falling in each category, in the long term, are as follows:

High-risk category = 70%

Low-risk category = 30%

Data and Calculations:

Risk Profile Categories of Motorists

                                                       High Risk      Low Risk

Probability of remaining

 in the same category                      50%              10%

Probability of moving to another

 category                                          50%              90%

Probability a motorist falling in the high-risk category = (50% x 50%) + (50% x 90%)

= 25% + 45%

= 70%

Probability a motorist falling in the low-risk category = (50% x 50%) + (50% x 10%)

= 25% + 5%

= 30%

Thus, the probability of a motorist falling in the high-risk category is 70%, while the probability of a motorist falling in the low-risk category is 30%.

Learn more about probability here: https://brainly.com/question/24756209

Answer:

There are 132,600 ways are there.

We note that there 52 ways to choose the first card, 51 ways to choose the second card, and 50 ways to choose the third card, for a total of 52*51*50=132,600 ways

Answers:

=========================================================

Explanation:

For equation A, I'll transform the right hand side into a similar form as the left side. Throughout the steps below, the left hand side stays the same.

[tex]\sqrt{448x^c} = 8x^3\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{(8x^3)^2}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{3*2}}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{6}}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{6}*7x}\\\\\sqrt{448x^c} = \sqrt{64*7x^{6+1}}\\\\\sqrt{448x^c} = \sqrt{448x^{7}}\\\\[/tex]

Therefore, c = 7

Notice that 7/2 = 3 remainder 1. The quotient 3 is the exponent for the term outside the root for [tex]8x^3\sqrt{7x}[/tex] while the remainder 1 is the exponent for the x term inside the root.

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

We do the same idea for equation B.

[tex]\sqrt[3]{576x^{d}} = 4x\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{(4x)^3}\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64x^3}\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64x^3*9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64*9x^{3+2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{576x^{5}}\\\\[/tex]

This must mean d = 5

Note: 5/3 = 1 remainder 2, which means [tex]\sqrt[3]{x^5} = x^1\sqrt[3]{x^2} = x\sqrt[3]{x^2}[/tex]

I'll help.

The answer to your question is True!!

Answer:

$3.02

Step-by-step explanation:

Convert the Percentage to decimals:

3% / 100% = 0.03

15% / 100% = 0.15

3% / 0.03 part:

19.55 * 0.03 = 0.5865

19.55 + 0.5865 = 20.1365

OR, since it was "adde on" you can just use 1.03:

19.55 * 1.03 = 20.1365

15% / 0.15 part:

20.1365 * 0.15 = 3.020475

Round to nearest cent: $3.02

---

Hey, hope this helped! If you want to say thank you, click the "Thanks" button, Rate 5 ★★★★★, and select the answer "The Brainliest!" - I appreciate it!

Answer:

your grade will be an 76

Step-by-step explanation:

1.To know this answer, we need to know some vocabulary that's used in t. Most people don't know how to solve questions if they have hard Vocabulary and what the question is Asking

Mean=The average of all his throws

It's asking us to calculate his total score  

2. Find Clues to help you solve word problems

Finding clues in Word Problems is a very important part a lot of people skip but this helps you solve the question easier

5 throws and Mean Score is 32 are the clues

3. Guess and check

The method to this thingy is called guess and check. There is another method which is slightly harder and i just don't want to do it.

Let's just say his scores were... 5, 6, 4, 5,10Add them up and you get 30Then 30/5

Let's try bigger numbers

20+25+20+20

If you like this method, you may try it another method is called work Backwards

5x32=160

Then divide 160 by 5 to double check and you get 32!!

========================================

Therefore, the answer s 160 as his total score

hope this gives you a clue to what we are doing and when you have a question like this, I really hope you understand the concept

Hope this helped (:

Answer:

The last option is the correct one

Step-by-step explanation:

Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 2 grid lines to the right of the y-axis and 5 grid lines below the x-axis.

2(¼) = 0.5

5(-¼) = - 1.25

Answer: i think is A is i am doing the same test if i am wrong please tell me

Step-by-step explanation:

Answer:

2a(7b+5)

Step-by-step explanation:

yeah-ya....... right?