Answer:
3.5 feet
Step-by-step explanation:
The highest point of the dollhouse will be 2.76 feet.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
The width of house = 29 feet.
And the height of the house = 32 feet.
Also, the width of dollhouse = 2.5 feet
Let the height of the doll is x feet.
To find the value of x,
Use proportion property,
29 / 32 = 2.5 / x
x = (32 × 2.5) / 29
x = 80 / 29
x = 2.758
the height of the doll is 2.76 feet.
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HELP ASAP PLEASE!!!!
Answers:
c = 7d = 5=========================================================
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]
Is the point (-2,5) a solution to the inequality y is greater than or equal to 5x+ 7
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).
In a cookie jar,
1
5
of the cookies are chocolate chip and
1
2
of the rest are peanut butter. What fraction of all the cookies is peanut butter?
Which tape diagram shows the cookies that are chocolate chip?
All cookies
Chocolate
chip
All cookies
Chocolate
chip
All cookies
Chocolate
chip
Excellent!
Which tape diagram shows the cookies that are peanut butter?
All cookies
Chocolate
chip
Peanut
butter
All cookies
Chocolate
chip
Peanut
butter
All cookies
Chocolate
chip
Peanut
butter
Good work!
Use the tape diagram to solve.
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]
A statistics teacher was interested in the relationship between the number of days students waited to start a project
and the score that project received (out of 100 points). Information was collected on several students and was used
to obtain the regression equation ý= -3.64x + 96.5, where x represents the number of procrastination days and ý is
the predicted grade. What is the predicted grade of a student who procrastinated for 1 week?
O24.59
71.02
O 92.86
O. 96.5
Answer:
71.02
Step-by-step explanation:
x is the number of days
1 week = 7 days
-3.64 (7) + 96.5 = 71.02
Carter goes out to lunch. The bill, before tax and tip, was $19.55. A sales tax of 3% was added on. Carter tipped 15% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
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
---
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I NEED HELP WITH THIS PLEASE HELP ME
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:
1A: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
__
1B: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).
__
2A:See the attachment for a graph.
-∞ < y ≤ 5 . . . . range of f(x)
__
2B: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
__
2C:See part B.
write 321.51 as word form
Answer:
three hundred twenty one and fifty one hundredths
3/5 * 5/7 / 3/14 - 2/5
Answer:
3/5*5/7*14/3-2/5
8/5...
Use the long division method to find the result when 12x3 + 4x2 - 23x + 10 is
divided by 3x – 2.
-
Refer to attatchment.
Answer:
4x2+4x-5
Step-by-step explanation:
Hopes this helps
Plz markas brainliest
7. Which of the lists of three lengths cannot form a triangle?
7,7,20
13,13, 20
13,13,13
7,7,7
7,13,13
Answer:
7,7,20 I think
Step-by-step explanation:
7+7 is less then 20
I want to know my grade if I have an 86 and I get a 0 and it’s worth 20% of my grade what will my grade be?
Answer:
your grade will be an 76
Step-by-step explanation:
sin(3x)+sin(x)=0 solve for x
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.
Can somebody please help me with this true or false algebra 1 question?
A relation that pairs each input with exactly one output is a function.
True or False
I'll help.
The answer to your question is True!!
2. How many different hands of 3 cards hands be chosen from a deck of 52 cards?
Answer:
There are 132,600 ways are there.
Explained: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
Which coordinate grid shows Point A at (0.50, −1.25)?
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 5 grid lines to the left of the y-axis and 2 grid lines above the x-axis.
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 5 grid lines to the right of the y-axis and 2 grid lines below the x-axis.
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 left of the y-axis and 5 grid lines above the x-axis.
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.
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:
Pls confirm if right. Thx!
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
how much time should be allowed for a 392-km car trip if the car will be traveling at 120km/h
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
An auto insurance company classifies each motorist as "high risk" if the motorist has had at least one moving violation during the past calendar year and "low risk" if the motorist has had no violations during the past calendar year. According to the company's data, a high-risk motorist has a 50% chance of remaining in the high-risk category the next year and a 50% chance of moving to the low-risk category. A low-risk motorist has a 90% chance of moving to the high-risk category the next year and a 10% chance of remaining in the low-risk category. In the long term, what percentage of motorists fall in each category? (Round your answers to two decimal places.)
high-risk category %
low-risk category %
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%.
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c. A square that is 8 inches on a side is placed inside a rectangle that has a length of 24 inches and a width of 20 inches. What is the area of the region inside the rectangle that surrounds the square?
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
If 3 people share 5 pizzas , how much pizza does each person get
Answer:
1 2/3
Step-by-step explanation:
5 pizzas divided by 3 people = 1 2/3
What is 14ab+10a written in factored form?
Answer:
2a(7b+5)
Step-by-step explanation:
yeah-ya....... right?
Alec invested $1500 in an account with annually compounded interest. The account earns 4% annual interest. How much will Alec have in his account after 4 years?
Answer:
He will have $1,754.79 in his account after 4 yearsStep-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
Zanele Situ is a disabled Olympic gold-medallist javelin champion. She threw the javelin a distance of 16,22 m in London at 2012 Olympics. She threw the javelin to a distance of 17,90 m in Rio at 2016 Olympics. By what percentage did the distance increase?
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%
To make cupcakes Leah uses 1/2 cup of chocolate chips for evry 1 1/3 cups of batter if Leah uses 3/4 cups of chocolate chips how many cups of batter should she use
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.
11. m2 = 340 Find m 24 and explain how you know. (2 points)
1
X
3
Drawing not to scale.
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.
Simplify 4.510. (25 points)
a
4.51
b
1
c
0
d
−1
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.
Which best describes reduced fractions that will always terminate?
A.
reduced fractions with denominators that are factors of only 5
B.
reduced fractions with denominators that are factors of 2 or 5
C.
reduced fractions with denominators that are factors of only 5 or 7
D.
reduced fractions with denominators that are factors of only 2 or 3
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.
A non-rational number is never an ending decimal number.If the denominator of a simplified rational number can be expressed in the manner [tex]2^p5^q[/tex] or [tex]2^p[/tex] or [tex]5^q[/tex], where p, q N, then the number has a terminating decimal expansion.After the decimal point, a terminating decimal number always has a finite number of digits.Therefore, the correct answer is option B.
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Write and evaluate algebraic expressions
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
PLEASE HELP
solve for x?
After 5 throws in a game of darts, Brent's mean score was 32. Calculate his total score.
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 (: