Answer:
It's non=linear
At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions. If x represents the number of hand soaps and y represents the number of lotions she bought, which inequality best represents her purchase?
x + y < 12
x + y > 12
x + y ≤ 12
x + y ≥ 12
The inequality that best represents the purchase made by Gabriela, given the number of hand soaps and lotions purchased, is x + y > 12
How to find the inequality ?Gabriela bought more than 12 bottles of hand soaps and lotions which simply means that the total number of these items that Gabriela bought as more than 12 bottles when added together.
The inequality would therefore be:
Number of hand soaps + Number of lotions > 12
Assuming the number of hand soaps is x and the number of lotions is y, the inequality would be:
x + y > 12
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find the approximate area of the shaded region, given that the area of the sector is approximately 13.08 square units.
The area of the shaded region is 3915 units².
We have,
Area of the sector.
= 13.08 units²
Now,
To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.
Area = √[s(s - a)(s - b)(s - c)]
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case,
The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:
Calculate the semi-perimeter:
s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units
Use Heron's formula to find the area:
Area = √[7(7 - 5)(7 - 5)(7 - 4)]
= √[7(2)(2)(3)]
= √[84]
≈ 9.165 units (rounded to three decimal places)
Now,
Area of the shaded region.
= Area of the sector - Area of the isosceles triangle
= 13.08 - 9.165
= 3.915 units²
Thus,
The area of the shaded region is 3915 units².
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What is 13th term of geometric sequence whose 7th term is 25 and common ratio is 3
Answer:
18225
Step-by-step explanation:
let 7th term = t7
t7= a.3^(7-1) (common formula of geometric series is a.r^(n-1)
or, 25= a. 3^6
or, a=25/729
now, for 13th term,
t13= a.r^(13-1)
= 25/729 × 3^12
=18225
7 days 3 hours 20 minutes - 4 days 9 hours 31 minutes
whats the question here ?
What is the area of this figure? 30yd 5yd 18yd 18yd 13yd 12yd
Answer:
50544
Step-by-step explanation:
18x18x13x12=50544
¿Cuántas libras de café “La Finca” que se vende a $5 la libra debe mezclarse con 80 libras decafé común que se vende a $2 la libra, para hacer una mezcla que se venda a $3 la libra?
Answer:
Necesitamos agregar 40 libras del café La Finca
Step-by-step explanation:
Sea x el número de libras de café de La Finca a mezclar.
Entonces, la cantidad total de libras que obtendremos en la mezcla será (x + 80) libras.
Ahora trabajemos con los precios; Tenemos x libras de La Finca a $ 5 por libra, con 80 libras de café a $ 2 por libra para dar una mezcla de (x + 80) a $ 3 Así, sumaremos el precio de La Finca más la otra variante para llegar al costo de la nueva mezcla.
Matemáticamente;
5 (x) + 2 (80) = 3 (x + 80)
5x + 160 = 3x + 240
5x -3x = 240-160
2x = 80
x = 80/2 x = 40
you have housing and fixed expenses of $813.52 a month you want to have a 6 month emergency fund and you want to have it funded in 18 months how much must you save per month?
Answer:
271.17 is the answer
Step-by-step explanation:
we know that the housing and fixed expenses of $813.52/month.
6 months emergency funds
= 813.52 × 6 = 4881.82
We know that you want to have it funded in 18 months
put it fraction will solve the problem:
\(\frac{4881.12}{18}\) = 271.17
271.71 being the answer
A 10 kg ball moves at a speed of 15m/s. The ball collides with a wall causing it to rebound in the opposite direction at a speed of 23 m/s.
Calculate the impulse on the ball?
Answer:
The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.
The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.
So, the impulse on the ball is -80 kg m/s.
If a person travels 440 meters in 11 seconds, what is the average speed of the person?
Step-by-step explanation:
speed=distance÷time
A.V.S=440÷11=40m/s
hope it helps.. Please mark brainliest.
Answer:
40 m/s
Step-by-step explanation:
Find:
We are asked to find the unit rate, How many meters per 1 second?
Know:
440 meters in 11 seconds
Solve:
440 meters in 11 seconds
? meters in 1 second
440/11 = 40 meters per second
Answer:
The average speed of the person is 40 m/s
Jesse has three one-gallon containers. The first
one has - 3/8 of gallon of juice, the second has
3/8 gallon of juice and the third has 1/8 a gallon of juice.
How many total gallons of juice does Jesse have?
Step-by-step explanation:
Total gallons of juice =
\( \frac{3}{8} + \frac{3}{8} + \frac{1}{8} \\ = \frac{6}{8} + \frac{1}{8} \\ = \frac{7}{8} \)
Find the volume of each composite figure to the nearest whole number.
The volume of the composite figure in this problem is given as follows:
76 ft³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:
Volume = length x width x height.
The figure in this problem is composed by two prisms, with dimensions given as follows:
2 ft, 6 ft and 3 ft.2 ft, 4 ft and 8 - 3 = 5 ft.Hence the volume is given as follows:
2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.
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Which statement about 'square root X - 5 minus square root X = 5'' is true?
x = –3 is a true solution.
x = –3 is an extraneous solution.
x = 9 is a true solution.
x = 9 is an extraneous solution.
Answer: x=9 is an extraneous solution
Step-by-step explanation:
Given
Function is \(f(x)=\sqrt{x-5}\)
for function to exist
\(\Rightarrow x-5\geq 0\\\Rightarrow x\geq 5\)
Therefore, 9 satisfies the above equation. It is it's extraneous solution.
ANSWER ASAP DONT SEND A FILE WHATS THE TRANSFORMATION??
Answer: reflection, translation
Step-by-step explanation:
Answer:
Copy the link and email who you need to send it to
Step-by-step explanation:
This should work
Find the surface area of the prism.
Answer:
382
The surface Area means adding all the areas of all faces.
Step-by-step explanation:
The formula is 2 ( hl + wh+ lw)
Height- 13
Width- 5
Length- 7
Just Substitute All Values.
2 ( 91 + 65 + 35 )
2x191
= 382
Have a wonderful Day!
In a hospital maternity ward there are only five babies. Baby 1 is heavier, with red hair. Baby 2 is male and thin, with the same colour hair as Baby 3, who is blonde and wears a bonnet. Baby 4 is one of the three female babies and Baby 5 wears sunglasses and is heavier.
All babies wear bonnets and at least one of the females wears sunglasses.
A thin, red-haired baby wearing a bonnet is the oldest of the group. Who can it be?
A: Baby 1 B: Baby 2 C: Baby 3 D: Baby 4 E: Baby 5
A thin, red-haired baby wearing a bonnet is the oldest of the group can be Baby 4
We are given that hospital maternity ward there are only five babies.
Baby 1 = heavier, with red hair.
Baby 2 = male and thin, with the same colour hair as Baby 3
Baby 3 = blonde and wears a bonnet.
Baby 4 = one of the three female babies
Baby 5 = wears sunglasses and is heavier.
Here All babies wear bonnets and at least one of the females wears sunglasses.
Because the baby we are finding is thin and red-haired so takes out Baby 1 because he is heavier.
This takes out Baby 2 because he has blonde hair.
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If $4,000 is invested in an account, find the value of the investment at the end of 20 years if the interest
is 6% compound interest, compounded quarterly. Round your answers to the nearest cent.
Compound interest accrued on a principal of $4,000.00 at a rate of 6% per year compounded four times each year during a 20-year period, totaling $13,163.
Define compound interest.Over a specific time period, compound interest builds up on both the principal and interest. A principal is also included when accounting for interest that has accrued on it over time. The cumulative principal value is used to calculate interest for the upcoming period as well. The new way of calculating interest now utilised in all financial and commercial transactions around the world is called compound interest. When we look at the compound interest values gathered over various time periods, we can quickly see the power of compounding.
Given
Principal = $4000
Time = 20 years
Rate = 6%
Compound Interest
A = P(1 + r/n)^nt
A = 4000( 1 + 6/4)^(6)(4)
A = 4000( 1 + 0.015)^80
A = 13162.65
A = 13163
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The volume of a cube with side s is s3. Edna bought a cube-shaped jewelry box that has 7-inch sides. What is the volume of the jewelry box?
The volume of the jewelry box will be;
⇒ 343 inch³
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The volume of a cube with side s = s³
And, Edna bought a cube-shaped jewelry box that has 7-inch sides.
Now,
Since, Edna bought a cube-shaped jewelry box that has 7-inch sides.
Hence, The volume of the jewelry box = 7³
= 7 x 7 x 7
= 343 inch³
Thus, The volume of the jewelry box will be;
⇒ 343 inch³
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A deli wraps its cylindrical containers of hot food items with plastic wrap. The containers have a diameter of 5.5 inches and a height of 3 inches. What is the minimum amount of plastic wrap needed to completely wrap 8 containers? Round your answer to the nearest tenth and approximate using π = 3.14.
51.8 in2
99.3 in2
595.8 in2
794.4 in2
The minimum amount of plastic wrap needed to completely wrap 8 containers is 794. 4 in². Option D
What is the minimum amount?The area of each circular end is:
A = πr²
A = 3.14 × (2.75)²
A = 23.68in²
The area of the rectangular side is:
A = h * circumference
circumference = 5.5in * π
circumference = 17.27in
Using the given height of 3 inches, we get:
A = 3in * 17.27
A = 51.81in²
Therefore, the total surface area of each container is:
A = 2 * 23.68 + 51.81
A = 98.17in²
To wrap 8 containers, we need to multiply the surface area of each container by 8:
Total surface area = 8 × 98.17
Total surface area = 794. 4 in²
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If f(x)=x+2 and g(x + 1) = x + 1 then find g. f(4).
Answer:
\(x + 2\)
see the below process of the equation:
Step-by-Step Explaination:
Given, f(x)=x+1 and g(x)=x+1
∴g(g(x))=g(x+1)
=(x+1)+1
=x+2
-Thank You By MrIshaan
Suppose that a person who has recently helped start a company for the first time is randomly selected. The probability that the company will fail within 2 years is 0.3. Suppose we follow 14 start-ups (98 people) for 2 years and record the number of people whose company failed. Why is the binomial model inappropriate for finding the probability that at least 42 of these 98 people
Answer:
The Binomial model is inappropriate because the Trials are independent of each other
Step-by-step explanation:
Given data :
probability of a company started by a person failing with 2 years = 0.3
14 start-ups ( 98 people ) are followed for 2 years
The probability that at least 42 of these 98 people will fail in 2 years
Reason why the Binomial model is inappropriate for finding the probability that at least 42 of these 98 people will fail
The Binomial model is inappropriate because the Trials are independent of each other
A container with an open top is to have 10 m3 capacity and be
made of thin sheet metal. Calculate the dimensions of the box if it
is to use the minimum possible amount of metal.
The dimensions of the box if it is to use the minimum possible amount of metal are,
⇒ 2.714 m, 2.714 m, 1.358 m
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A container with an open top is to have 10 m³ capacity.
Now,
Let the dimensions are x, y and z.
Since, Volume of box = 10 m³
Hence, We get;
⇒ xyz = 10
⇒ z = 10/xy
Since, A container is open in top.
Hence, The surface area = 2xz + 2yz + xy
Substitute z = 10/xy;
⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy
= 20/y + 20/x + xy
For minimum metal;
⇒ d (S.A)/ dx = 0
⇒ - 20/x² + y = 0
⇒ y = 20/x² ..(i)
And, d (S.A) / dy = 0
⇒ - 20/y² + x = 0
⇒ x = 20/y² ..(ii)
Divide equation (i) and ((ii);
⇒ x = y
Hence, We get;
⇒ xyz = 10
⇒ x³ = 10
⇒ x = 2.714
And, y = 2.714
So, The value of z is,
⇒ z = 10/xy
⇒ z = 10 / 2.714×2.714
⇒ z = 1.358 m
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Find the following trigonometric values.
Express your answers exactly.
cos(330)
sin(330)
The exact values of the given trigonometric functions are:
cos(330) = \(\sqrt{3}/2\) or 0.866
sin(330) = 1/2 or 0.5
To find the trigonometric values of cos(330) and sin(330) exactly, we can use the unit circle and the properties of the trigonometric functions.
In the unit circle, the angle of 330 degrees is equivalent to -30 degrees or \(-\pi/6\) radians. Since cosine is an even function, we know that \(cos(-\theta) = cos(\theta)\), so we can find cos(-30).
Using the special triangles and the reference angle of 30 degrees, we can determine the exact values:
cos(-30) = cos(30) = \(\sqrt{3}/2\)
Similarly, the sine of -30 degrees is the same as the sine of 30 degrees:
sin(-30) = sin(30) = 1/2
Therefore, the exact values are:
cos(330) = cos(-30)= cos(30) = \(\sqrt{3}/2\) or 0.866
sin(330) = sin(-30)= sin(30)= 1/2 or 0.5
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3/8 to the 2nd power
Answer:
9/64
Step-by-step explanation:
it is just 3/8 x 3/8
help!!! Choose the product . - 6p ^ 3 * (3p ^ 2 + 5p - 1)
Answer:
\(-18p^{5} -30p^{4} +6p^{3}\)
Step-by-step explanation:
\((-6p^{3} )(3p^2+5p-1)\)
\((-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)\)
\(-18p^{5} -30p^{4} +6p^{3}\)
hope this helps.....
I can run 5 miles in one hour. At this rate, how long will it take me to run 7 miles? answer is not 1.4 hours.
Answer:
1 hour 24 minutes
Step-by-step explanation:
So you can run 5 miles in one hour. Let's find how many minutes it takes you to run one mile.
We do this by dividing 60 by 5.
60/5 = 12
Therefore, it takes you 12 minutes to run 1 mile.
Multiply 12 by 7 to get how long it will take you to run 7 miles.
(12)(7) = 84 minutes
Or an hour and 24 minutes.
That's odd that the answer is not 1.4 minutes because 24/60 is .4 and you would add that onto the hour.
If you put in an 1 hour 24 minutes and it still says its wrong then ask your teacher about it.
I hope this helps!!
- Kay :)
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Your second answer, otherwise know as 1 in. : 4ft. is the answer.
Step-by-step explanation:
The new map is 3 times bigger than the old map, therefore your given scale for the first map will shrink by 3 to compensate for the new map being bigger. Divide 12ft by 3 and you get 4 ft., so your answer is 1in. : 4ft.
The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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în doi saci sunt 182 kg de grâu dacă din primul sac ar lua 36 kg de grâu și sar pune în al doilea sac atunci ambii saci ar conține cantități egale de grâu ce cantitate de grâu este în fiecare sac
Answer:
a = 127 kg
b = 55 kg
Step-by-step explanation:
a + b = 182
a - 36 = b + 36
+ 36 + 36
a = b + 72
(a) + b = 182
(b + 72) + b = 182
2b + 72 = 182
-72 -72
2b = 110
÷2 ÷2
b = 55
a + (b) = 182
a + (55) = 182
- 55 - 55
a = 127
{127 - 36 = 91}
{55 + 36 = 91}
{91 + 91 = 182}
Can someone answer this for me. I NEED HELPPP
Find the value of y if m∠3 =65° and m∠1 =(15y+5)°
Answer: 4 i think
Step-by-step explanation:
65=15y+5
65 - 5 = 15y +5 -5
60 = 15y
60/15 = 15y/15
4 = y
If the Federal Reserve decreases the reserve rate from 6% to 4%, how does this affect the amount of money that would result because of fractional-reserve banking from an initial deposit into a bank of $15,000?
A.
It increases the amount by $250,000.
B.
It increases the amount by $125,000.
C.
It decreases the amount by $125,000.
D.
It decreases the amount by $250,000.
The amount of money increases by $125,000 due to the decrease in the reserve rate. The correct answer is B. It increases the amount by $125,000.
When the Federal Reserve decreases the reserve rate, it allows banks to hold a smaller portion of their deposits as reserves and lend out a larger portion. This change stimulates lending and increases the money supply in the economy through the process of fractional-reserve banking.
In this scenario, the initial deposit of $15,000 can be multiplied by the money multiplier, which is the reciprocal of the reserve rate. Initially, with a reserve rate of 6%, the money multiplier is 1/0.06 = 16.67. Therefore, the initial deposit can lead to a maximum increase in the money supply of $15,000 x 16.67 = $250,050.
When the reserve rate is decreased to 4%, the money multiplier becomes 1/0.04 = 25. Therefore, the same initial deposit of $15,000 can now result in a maximum increase in the money supply of $15,000 x 25 = $375,000.
The difference between the two scenarios is $375,000 - $250,050 = $124,950, which is approximately $125,000. Hence, the amount of money increases by $125,000 due to the decrease in the reserve rate.
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