A scientist uses 20 grams of carbon every 10 minutes during an experiment. If the experiment lasted 2 hours, how many total kilograms of carbon did they use?
Answer:
240 grams
Step-by-step explanation:
Which chocolate chip cookies have the greater spread in the number of chips per cookie?
is it
Regular
OR
Reduced Fat
Answer:
Reduced fat had the greater spread.
Step-by-step explanation:
Write the standard form of the equation of the circle with center (7,1) that also contains the point (−1,−5).
Enter the equation in simplest terms.
pls no links. my computer can't open
Answer:
[tex](x-7)^2+(y-1)^2=100[/tex]
Step-by-step explanation:
1) Find the radius
We can do this by using the distance equation with the centre (7,1) and the given point (-1,-5):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (7,1) and (-1,-5)
[tex]d=\sqrt{(-1-7)^2+(-5-1)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10[/tex]
Therefore, the radius of the circle is 10 units.
2) Plug the data into the equation of a circle
Equation of a circle (when not centred at the origin):
[tex](x-h)^2+(y-k)^2=r^2[/tex] where the centre is [tex](h,k)[/tex] and r is the radius
Plug in the centre (7,1) as (h,k)
[tex](x-7)^2+(y-1)^2=r^2[/tex]
Plug in the radius 10
[tex](x-7)^2+(y-1)^2=10^2\\(x-7)^2+(y-1)^2=100[/tex]
I hope this helps!
Kathryn is 1.6 meters tall. Convert her height to feet. Round to the nearest tenth.
Answer:
1.6 m = 5.3 ft
It takes 3 hour 15 minutes to fly from city a to city b at constant speed. Find how long the journey takes if
A) the speed is 1×1÷2 times of the original speed and
B) if the speed is three-quarters of the original speed.
Answer:
a) t= 2hours and 10 minutes
b) t=4hours and 20 minutes
v1t1=v2t2
Answer:
Step-by-step explanation:
rate = distance / time distance is constant (a-b) so call it D
time = distance / rate rate = speed (ie miles per hour = mph)
time = distance / speed
A) if the new speed is 1.5 of the original speed
original time = 3.25 hours or 195 minutes
3.25 = D / 1 new time = D/1.5 find new time
3.25 is to D as new time is to D/1.5
3.25/D = new time / D/1.5 multiple D/1.5 on both sides
(3.25/D) ( D/1.5) = new time the distance D cancels
3.25 (D / D) / 1.5 = new time
3.25 / 1.5 = 2.167 hours or 2 hours and 10 minutes
B) if the speed is 3/4 the original speed
original time = 3.25 hours or 195 minutes
3.25 = D / 1 new time = D/(3/4) find new time
3.25 is to D as new time is to D/0.75
3.25/D = new time / D/0.75 multiple D/0.75 on both sides
(3.25/D) ( D/0.75) = new time
3.25 (D / D) / 0.75 = new time
3.25 / 0.75 = 4.333 hours or 4 hours and 20 minutes
How many solutions does y=3x+1 and y=x+1 have?
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Two people share proceeds of a business venture in the ratio 2:3 If the proceeds came to GHS 2,350,000 how much does each get?
Answer:
GHS 940,000 and GHS 1,410,000
Step-by-step explanation:
Total Ratio, thus 2+3 = 5 = 2,350,000
2/5 × 2,350,000 = 940,000
3/5 × 2,350,000 = 1,410,000
In conclusion, the money was shared at GHS 940,000 and GHS 1,410,000 among the two.
What is the slope of the line perpendicular to 2x-3y=8
Answer:
y = - [tex]\frac{3}{2}[/tex]x - [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
2x-3y=8
rewrite, solve for y
3y = 2x - 8
divide by 3
y = [tex]\frac{2}{3}[/tex]x - [tex]\frac{8}{3}[/tex]
perpendicular = negative reciprocal slope = - [tex]\frac{3}{2}[/tex]
solve the system by substitution.......
Answer:
x=3
y=15
Step-by-step explanation:
y=5x
y=-4x+27
5x=-4x+27
+4x +4x
9x=27
/9 /9
x=3
y=5x
y=5(3)
y=15
HELP PLEASE BRAINLIEST AND ITS EASY\
What is the mean of the values in the dot plot?
Enter your answer in the box.
Answer: 2
Step-by-step explanation:
2+2+1+3=8/4=2
A fudge recipe calls for 1/2 cup of cocoa if only 1/2 of the recipe is made how much cocoa should be used
Answer:
1/4
Step-by-step explanation:
Answer:
1/4 cup
Step-by-step explanation:
Heather invested $25,800 in an account that pays 4% simple interest. If she invests the money for 10 years, how much will she have?
Answer:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 25800(1 + (0.04 × 10)) = 36120
A = $36,120.00
The total amount accrued, principal plus interest, from simple interest on a principal of $25,800.00 at a rate of 4% per year for 10 years is $36,120.00.
A Ferris wheel has a radius
of 72 feet. What is the
distance a passenger will
travel one time around the
Ferris wheel?
Answer:
144
Step-by-step explanation:
radius is half of a diameter so that means you need to multiply 72 times 2
NEED HELP FOR HOMEWORK: Quadrilateral FGHJ was dilated with the origin as the center of dilation to create quadrilateral F' G′ H′ J′.
Which rule best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral F' G′ H′ J′?
A. (x, y) à (x - 2, y + 1)
B. (x, y) à (1.4x , 1.4y)
C. (x, y) à (x + 1, y + 2)
D. (x, y) à (5/7x, 5/7y)
Answer:
B
Step-by-step explanation:
Without even trying to figure out the solution you can tell it is b, because adding and subtracting to the x's and y's results in a translation. D is wrong because it would result in a smaller figure, so it is B
Find the value of x.
Answer:
x = 113
Step-by-step explanation:
Since the shape is a quadrilateral, the angles add up to 360 so:
x + 87 + 113 + 47 = 360
x + 247 = 360
x = 360 - 247
x = 113
I really need help with this stadistic problem
Answer:
the mean is 5.8 and the median is 6
Step-by-step explanation:
if you multiply the test scores by their frequencies and then add up all those values, and then divide by the number of test scores, you get 5.8
for the median, you write out all the test scores in order from least to greatest and how many times they appear. then if you go to the middle of that number line, youll find the median
Help please include explanation screenshot attached and brainliest to correct answer
Answer:
x>-8 (Or option D)
Step-by-step explanation:
-2x+7<23 Subtract 7 from both sides
-2x<16 Now divide by -2. You also have to flip the < sign because you are dividing by a negative number
x>-8
The reasoning for D over C is because D is an open circle meaning that it is only less than or greater than. When it is a closed circle, it means less than or equal to or greater than or equal to. :)
on a twelve hours clock the time is quarter -past nine. where does the long head and point ?
Answer:
It points to 3 in on the clock.
Hope it helps!!!
125 a la octava potencia?
please lo necesito
A fashion designer wants to know how many new dresses women buy each year. A sample of 208 women was taken to study their purchasing habits. Construct the 85% confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 6.2. Assume that the population standard deviation is 1.1.
Answer:
The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.44\frac{1.1}{\sqrt{208}} = 0.1[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 6.2 - 0.1 = 6.1
The upper end of the interval is the sample mean added to M. So it is 6.2 + 0.1 = 6.3
The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).
1. Select all the letters below that have a line of symmetry?
A. M
B. V
C. L
D. G
E. D
Answer:
A,M,V
Step-by-step explanation:
What is the median of the given set of data? 1. 1. 5. 4. 3. 7. 2.9. 4, 8
Answer:
4
Step-by-step explanation:
Arrange in order
1,1,2,3,4,4,5,7,8,9
Cross off each number from each side little by little
1,2,3,4,4,5,7,8
2,3,4,4,5,7
3,4,4,5
4,4
There are two numbers left so we would find whats between them. But, since it is the same number, you just write the same one as the median.
median= 4
An expression is shown below:
3x3y + 12xy − 9x2y − 36y
First Rewrite the expression so that the GCF is factored completely. Show the steps of your work.
Then Rewrite the expression completely factored. Show the steps of your work.
Answer:
Part A: so the GCF is 3y,
We need to rewrite the equation such as:
-36 as -12 · 3, -9 as -3 · 3, 12 as 4 · 3
It will look like this:
3x^3 y +4 · 3xy + 3 · 3x^2 y + 4 · 3 · 3y
We then need to factor out 3y:
3y(x^3 + 4x - 3x^2 - 12)
Part b: factor out completely
3y(x^3 + 4x - 3x^2 - 12)
So, we need to do the following:
3y{x^2(x-3) + 4 (x-3)}
we then get the final factor: 3y(x - 3) (x^2 + 4)
Step-by-step explanation:
The factored expression is:
[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]
------------------------
To factor the expression:
First, we need to find the greatest common factor of the numeric and symbolic coefficients.Then, we divide each term of the expression by it's gcf.------------------------
The expression is:
[tex]3x^3y + 12xy - 9x^2y - 36y[/tex]
------------------------
The numeric coefficients are: 3, 12, 9, 36
The gcf of the numeric coefficients is:
3 - 12 - 9 - 36|3
1 - 4 - 3 - 12
The gcf of the numeric coefficients is 3, as 3 is the only number by which 3, 12, 9 and 36 are all divisible.
------------------------
The symbolic coefficients are: [tex]x^3y, xy, x^2y, y[/tex]
The only common term is y, so y is the gcf of the symbolic coefficients.
------------------------
The gcf of the entire expression is the multiplication of the gcfs of the numeric and of the symbolic coefficients, so it is 3y.
Now, to factore the expression:
[tex]3x^3y + 12xy - 9x^2y - 36y = 3y(\frac{3x^3y}{3y} + \frac{12xy}{3y} - \frac{9x^2y}{3y} - \frac{36y}{3y}) = 3y(x^3 + 4x - 3x^2 - 12)[/tex]
The factored expression is:
[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]
A similar problem is given at https://brainly.com/question/20691631
how many 3/5 are in 5
Answer: the answer is 1.6 or 0.6.
Answer:
8⅓
Step-by-step explanation:
divide 5 by (3/5). To divide by a fraction, flip the fraction and multiply. Make the 5 into a fraction by putting a '1' underneath:
(5/1)(5/3) = 5x5/1x3 = 25/3 = 8⅓
You can take 3/5 away from 5, 8⅓times
The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will the car be worth each of the following amounts?
(a) $8000
(b) $6000
(c) $1000
- The car will be worth $8000 after years.
(Type an integer or a decimal rounded to the nearest tenth as needed.)
Answer:
a) The car will be worth $8000 after 2.9 years.
b) The car will be worth $6000 after 4.2 years.
c) The car will be worth $1000 after 12.7 years.
Step-by-step explanation:
The value of the car after t years is given by:
[tex]V(t) = 14651(0.81)^{t}[/tex]
According to the model, when will the car be worth V(t)?
We have to find t for the given value of V(t). So
[tex]V(t) = 14651(0.81)^{t}[/tex]
[tex](0.81)^t = \frac{V(t)}{14651}[/tex]
[tex]\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t\log{(0.81)} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}[/tex]
(a) $8000
V(t) = 8000
[tex]t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9[/tex]
The car will be worth $8000 after 2.9 years.
(b) $6000
V(t) = 6000
[tex]t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2[/tex]
The car will be worth $6000 after 4.2 years.
(c) $1000
V(t) = 1000
[tex]t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7[/tex]
The car will be worth $1000 after 12.7 years.
Can someone help me find the answer and write a step by step explanation?
Answer: I got 144cm I'm not sure if its right though
Step-by-step explanation:
I did 12x6=72 then I did 72+72=144
20 POINTS please help
Which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green apples?
A) 1:15
B) 3.15
C.4:15
D) 8:15
Answer:
D) 8:15
The first thing you do is add up all the apples which equals 15. And then you see how many red apples there are which is 8. Then you write your ratio which is 8:15.
Your answer is D) 8:15
At a party, if 1/5 of one sheet
cake is uneaten and Tom eats
1/6 of the uneaten cake, what
fraction of the original cake
did Tom eat?
Answer:
Step-by-step explanation:
He eats 1/6 or 1/5 of the original cake.
All you need to do to get the answer is multiply the denominators.
1/5 * 1/6 = 1/30
If there was something in the numerators. you would multiply them too.
So suppose the two fractions were 3/5 and 2/7
The answer would be 3 * 2 / 5 * 7 = 6 / 35
General rule
When multiplying two fractions, multiply numerator * numerator / (denominator * denominator).
Arithmetic Summation
Find the sum of the first n terms of the arithmetic series.
40 + 37 + 34 +31 +...
n=20
Answer:
142
Step-by-step explanation:
hope this help love y all!
Help me plz thank you
Answer:
[tex]\text{Axis of symmetry: }x=-2\\\text{Vertex: }x=-2,\ y=10[/tex]
Step-by-step explanation:
[tex]y=-2x^2-8x+2\\\\\text{Solving }y=0:\\-2x^2-8x+2=0\\x=-2\pm\sqrt{5}\text{ (Using the quadratic formula)}\\\\\text{Finding mid-point (x-coordinate):}\\\frac{-2+\sqrt{5}-2-\sqrt{5}}{2}=-2\\\\\therefore\text{Vertex: }x=-2,\ y=10\\\text{Axis of symmetry: }x=-2[/tex]