Answer:
12
Step-by-step explanation:
One fifth of 30 would mean u divide 30 by 5 which equals 6. Since it's two fifths you would have 12.
A travel mug of 87∘C coffee is left on the roof of a parked car on a cold winter day. The temperature of the coffee after t minutes is given by H=87(2)−t/14. After how many minutes will the coffee be only lukewarm (30∘C)?
Answer:
After 21.28 minutes will the coffee be only lukewarm (30∘C)
Step-by-step explanation:
Given -
A travel mug of 87∘C coffee is left on the roof of a parked car on a cold winter day . The temperature of the coffee after t minutes is given by
[tex]H = 87(2)^{\frac{-t}{14}}[/tex]
Let after [tex]t_{1}[/tex] time H will be [tex]$30^\circ$[/tex]C
put t = [tex]t_{1}[/tex] , H = [tex]$30^\circ$[/tex]C
[tex]30 = 87(2)^{\frac{-t_{1}}{14}}[/tex]
[tex]\frac{30}{87} = (2)^{\frac{-t_{1}}{14}}[/tex]
.3448275 = [tex](2)^{\frac{-t_{1}}{14}}[/tex]
Taking logarithm both side
[ [tex]log(2^{x}) = xlog2[/tex] ]
log.3448275 = [tex]{\frac{-t_{1}}{14}}[/tex] log 2
-.4581 = [tex]{\frac{-t_{1}}{14}} \times.3010[/tex]
[tex]{\frac{-t_{1}}{14}}[/tex] = -1.52
[tex]t_{1}[/tex] = 21.28 minutes
To find the time it will take for the coffee to cool to 30 degrees Celsius, we need to solve the equation 30=87(2)−t/14 for the variable 't', which represents time.
Explanation:The subject of this problem is a mathematical application of heat transfer. To answer this question thoroughly, we need to solve the given equation H=87(2)−t/14 for 't' when H (the temperature of the coffee) is 30 degrees Celsius.
When we set H equal to 30, we can rearrange the equation to solve for 't':
Set H=30. The new equation becomes 30=87(2)−t/14. By simplifying the equation, we find t=(87(2)-30)*14.The solution of 't' will give the time it will take the coffee to reach 30 degrees Celsius.While this equation primarily pertains to heat transfer, it is also fundamentally about solving algebraic expressions, the core focus of high school Mathematics.
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A small island nation is tracking its total population. It started with exactly 100 people. During the year, 10 people immigrated, while 20 emigrated. The birth rate was 15, and the death rate was 5. What is the new population of the country?
Answer:
100 people
Step-by-step explanation:
The new population of the country at the end of the year considering all the conditions will remain at 100.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
Subtraction = Minus of any two or more numbers with each other called subtraction.
As per the given,
The population of the country at the beginning of the year = 100 people.
10 immigrated → 100 + 10 = 110
20 emigrated → 110 - 20 = 90
Birth rate is 15 → 90 + 15 = 105
Death rate is 5 → 105 - 5 = 100
Hence "The new population of the country at the end of the year considering all the conditions will remain at 100".
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Ellie baked a round cookie cake for her sister's birthday. The radius of the cookie cake was 6 inches. If Ellie ate 1/4 of the cookie cake, about how many square inches did she eat?
Answer:
28.26
Step-by-step explanation:
If you find the area by using the eqaution A=pi*raduis*2 you can then divide it by 4
29x + 92 = 29x - 11 solution
In the equation, 29x + 92 = 29x - 11, subtracting 29x from both sides cancels out the variable and leaves 92 = -11, which is a contradiction. Therefore, the equation has no solution.
Explanation:In the given equation, 29x + 92 = 29x - 11, you can see that the variable x is on both sides. The first step in solving this equation is by canceling out same terms on both sides.
When you subtract 29x from both sides, the equation will become 92 = -11 since the 29x cancels out on both sides. This equation doesn't make sense because 92 is not equal to -11. Therefore, the equation has no solution. This situation is known as a contradiction, because the variable cancels out and leaves us with a false statement.
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What is the polynomial 3y2 + (y + 7)2 – 15 after it has been fully simplified and written in standard form?
Answer:
4y^2 + 14y + 34
I hope this helps :)
Answer:
C
Step-by-step explanation:
Question 5 options: A high school principal wishes to estimate how well his students are doing in math. Using 40 randomly chosen tests, he finds that 77% of them received a passing grade. Create a 99% confidence interval for the population proportion of passing test scores.
Answer:
We are 99% confident interval for the population proportion of passing test scores between ( 0.5987 and 0.9413 )
Step-by-step explanation:
Given -
n = 40
Population proportion = [tex]\widehat{(p)}[/tex] = [tex]77\%[/tex] = .77
1 - [tex]\widehat{(p)}[/tex] = 1 - .77 =.23
[tex]\alpha[/tex] = 1 - confidence interval = 1 - .99 = .01
[tex]z_{\frac{\alpha}{2}}[/tex] = [tex]z_{\frac{.01}{2}}[/tex] = 2.58
99% confidence interval for the population proportion of passing test scores=
[tex]\widehat{(p)}\pm z_{\frac{\alpha}{2}} \sqrt{\frac{\widehat{(p)} (1 - \widehat{p})}{n}}[/tex]
= [tex].77\pm z_{\frac{.01}{2}} \sqrt{\frac{{(.77)} (.23)}{40}}[/tex]
= [tex].77\pm 0.1713[/tex]
= [tex](.77 + 0.1713 , .77 - 0.1713)[/tex]
= ( 0.5987 , 0.9413 )
Corey is 2 times older than Brad. If the sum of their ages is 54 how old is Corey?
Answer:
54/3=18 so Brad is 18 and Corey is 36
36 + 18 = 54
Step-by-step explanation:
If Corey is 2 times older then you divide by that number which is 2 + 1 so you divide by 3.
Hope this helps can I have brainliest
Tomas bought 3 software apps and 2 e-books for a total of $21. The two e-books cost $12. If s represents the cost of each app, the total cost of all 5 items is represented by 3 s + 12 = 21. Which statement about verifying the solution for s is true?
The solution is given by s = 6 because it makes the value of 3 s + 12 equal to 21.
The solution is given by s = 3 because it makes the value of 3 s + 12 equal to 21.
The solution is given by s = 9 because it makes the value of 3 s + 12 equal to 21.
The solution is given by s = 12 because it makes the value of 3 s + 12 equal to 21.
Answer:
The solution is given by s=9 because it makes the value of 3s+12 equal to 21.
Step-by-step explanation:
If you replace s with 9 you will get 21
Answer:
b. The solution is given by s = 3 because it makes the value of 3 s + 12 equal to 21.
Explanation:
I took the test and got it right.
Step 1: Substitute s for 3. You get 3(3) + 12 = 21.
Step 2: 3(3) + 12 = 21 is converted to 9 + 12 = 21.
Step 3: 9 + 12 equals 21.
Using the Zero Product Property, solve for the x-values given (x-2)(x+3)=0.
x=2 x=-3
x=-2 x=3
x=-2 x=-3
x=2 x=3
A circle has its center at the origin and has a diameter of 24 units.
What is the standard equation of the circle?
Question 2 options:
x2+y2=242
x2−y2=122
x2−y2=242
x2+y2=122
Answer:
x² + y² = 144
Step-by-step explanation:
The general equation of a circle is given as
(x - a)² + (y-b)² = r²
where a and b are the center of the circle along the x and y axis respectively and r is the radius of the circle.
Hence a circle that has its center at the origin and has a diameter of 24 units, we can deduce that the values of a,b are 0,0. Also,
radius = diameter/2
= 24/2
= 12 units
Hence the standard equation of the circle
(x - 0)² + (y - 0)² = 12²
x² + y² = 144
what is the diameter of a circle if the radius is 1 inch
Answer:
2 inch
Step-by-step explanation:
The radius is the fixed distance from the center of a circle to any point on its circumference. The radius of a circle always equals half of its diameter, so to find the diameter, multiply the radius by two. ( 1 x 2= 2 inch)
The radius of a circle is 1/2 inch with a diameter of 1 inch.
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r and the radius of a circle is half if the diameter which is r.
Given, A circle has a diameter of 1 inch.
As we know the radius of a circle is half of the diameter,
∴ A circle with a diameter of 1 inch will have a radius of 1/2 inch.
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A state park charges a $6.00 entry fee plus $7.50 per night of camping. Write an algebraic expression for the cost in dollars of entering the park and camping for n nights.
The algebraic expression for the cost of entering a state park and camping for n nights, with an entry fee of $6.00 and a nightly fee of $7.50, is Cost = $6.00 + ($7.50 times n).
The algebraic expression to represent the cost in dollars of entering a state park and camping for n nights, when the state park charges a $6.00 entry fee plus $7.50 per night of camping, is calculated as follows:
Cost = Entry fee + (Cost per night times Number of nights)
Here, the entry fee is $6.00, and the cost per night is $7.50. Therefore, the expression becomes:
Cost = $6.00 + ($7.50 times n)
Where n represents the number of nights spent camping.
choose a symbol that makes the statement true 8_l-8l <, =, >
Averi is hungry for a snack. She is small, so she takes 6 cookies out of the cookie jar without being able to see what she is selecting. Out of the 6 cookies, 4 are chocolate chip and 2 are peanut butter. The percent of Averi's cookies that are peanut butter is:____________.
A. 66.7.
B. 50.0.C. 33.3.D. 25.0.
The porter family is moving from Baltimore, Maryland, to San Francisco, California. They would like to know what the difference will be in their family budget. How would you explain cost of living to them?
Answer:
78
Step-by-step explanation:
Wrong theories the passageway
Answer:
Cost of living is the amount of money needed for fixed expenses such as housing, food, taxes, and health care, as well as variable expenses. Big cities tend to have a higher cost of living than smaller cities.
Please help! Will give good rating.
Dot Plot Data:
20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24
Which measure of center would best describe a typical
value of the data set? Why?
_______would be best,
because the data distribution is ______.
fill in the blank options:
1) The mean, Neither the mean nor median
2) Nearly symmetrical, neither symmetrical nor skewed
PLZZ HELP WILL GIVE BRAINLIST!! SOMEONE HURRY!! PLZZ WILL GIVE LOTS OF POINTS!!
Heidi drove to visit her friend one summer. The miles she traveled are shown on the graph below.
What is the unit rate of miles driven per hour?
A.
50 miles per hour
B.
25 miles per hour
C.
75 miles per hour
D.
100 miles per hour
Answer: A. 50 miles per hour
Step-by-step explanation:
in between the lines if you look at the number it goes 25,50,75,100 etc.
Find all the real square roots of 49
Answer: ±7
Step-by-step explanation:
Solution of the expression are,
⇒ ± 7
What is an expression?Mathematical expression is defined as the collection of the number variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ √ 49
Now, We can simplify as;
⇒ √49
⇒ √ 7 × 7
⇒ ± 7
Thus, Solution of the expression are,
⇒ ± 7
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The heights of 6 randomly selected students in a classroom are 64 inches, 73 inches, 67 inches, 70 inches, 69 inches, and 65 inches. What is the mean of the students' heights?
Answer:
68
Step-by-step explanation:
What single transformation was applied to quadrilateral A to get quadrilateral B?
Choose 1 answer:
Answer:
It is translation
3
-5
in brackets
what is the distance between point (7,9) and point (-2,7)
Answer:
√85 or 9.22
Step-by-step explanation:
For this, you'd want to use the distance formula, which is just something you'd eventually memorize.
Distance = [tex]\sqrt{(x_{2}- x_{1})^{2} + (y_{2}- y_{1})^{2}}[/tex]
Then, you'd plug in the values. Something to keep in mind is the coordinate that is farther right will be ([tex]x_{2} ,y_{2}[/tex]), since [tex](x_{2}- x_{1})[/tex] is supposed to represent the change in x (and same with the y).
d = √( (7 - (-2))² + (9 - 7)²)
= √( (9²) + 2²)
= √(81 + 4)
= √85
= 9.22
I hope this helps!
The distance between point (7, 9) and point (-2, 7) is √85 units.
To find the distance between two points, you can use the distance formula:
[tex]\[d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\][/tex]
In this case, the coordinates of the two points are:
Point 1: (7, 9)
Point 2: (-2, 7)
Now, plug these coordinates into the distance formula:
[tex]\[d = \sqrt{(-2 - 7)^2 + (7 - 9)^2}\][/tex]
Simplify inside the square root:
[tex]\[d = \sqrt{(-9)^2 + (-2)^2}\][/tex]
[tex]\[d = \sqrt{81 + 4}\][/tex]
[tex]\[d = \sqrt{85}\][/tex]
So, the distance between point (7, 9) and point (-2, 7) is[tex]\(\sqrt{85}\)[/tex] units, which is an irrational number and cannot be simplified further as a whole number or fraction.
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Use the stem and leaf plot shown to answer the following question.
What is the upper quartile median value?
37
40
41
Answer:
Honey the answer is 40.
It's correct cuz I had the same question sugar ^-^
Urgent! Can someone answer these questions for me as I’m not in the right state of mind atm
Answer:
300 g. of chocolate.
75 g. of flour
3 people.
Step-by-step explanation:
These are proportion problems. I'll just give you the first formula.
[tex]\frac{200}{4} =\frac{x}{6} \\\\(200)(6)=4x\\1200=4x\\x=300[/tex]
Can you do the rest? I'll be waiting in the comments.
:)
Consider the right triangular prism given AC = 9 cm
and AD = 10 cm. Which statements are true regarding
the prism? Check all that apply.
The height of the prism is 10 cm.
ADFG is a base.
ADFG is a lateral side.
The appropriate unit of measure for the volume is
cubic centimeters.
The area of the base is 45 square centimeters.
Answer:
A : The height of the prism is is 10 cm
B : DFG is a base
D : The appropriate unit of measure for the volume is cubic centimetres
Step-by-step explanation:
In the given right triangular prism, ADFG constitutes one of the bases, and the appropriate unit for volume is cubic centimeters. However, details about the height and the specific area of the base are not conclusively determined. (2 and 4 are correct)
Let's analyze each statement:
1. The height of the prism is 10 cm.
- This statement is not necessarily true. The height of a right triangular prism is typically measured perpendicular to the base. The provided information about AC and AD doesn't directly determine the height.
2. ADFG is a base.
- This statement is true. A base of the right triangular prism can be identified by the vertices, and ADFG forms one of the bases.
3. ADFG is a lateral side.
- This statement is not true. ADFG is a base, not a lateral side.
4. The appropriate unit of measure for the volume is cubic centimeters.
- This statement is true. Volume is measured in cubic units, and in this context, cubic centimeters is appropriate.
5. The area of the base is 45 square centimeters.
- This statement is not necessarily true. The area of the base cannot be determined solely from the information given.
So, the true statements are 2 and 4.
Paige rolls a number cube sixty-four times. The number 4 comes up fourteen times. The number 3 comes up six times
Rounded to the nearest whole percent, what is the experimental probability of rolling a 3 or 4?
====================================================
Explanation:
The number 4 shows up 14 times
The number 3 shows up 6 times
This is a total of 14+6 = 20 times we get a 3 or a 4 on the dice
This is out of 64 total rolls
Use a calculator to find that 20/64 = 0.3125
Move the decimal point over 2 spots to the right to get 31.25%
Lastly, round this to the nearest whole number percent to get 31%
Keep in mind that this only works for experimental probability. Theoretical probability is going to be different.
Answer:
31 percent on edgunity
Step-by-step explanation:
A tissue box has a volume of 105 cm³. If the length of the box is 7 cm and the width is 5 cm, what is the surface area of the box? *
142 cm²
35 cm²
735 cm²
365 cm²
FInd the height of the box by dividing the volume by 7 x 5 ( length x width)
Height = 105 / 35
Height = 3cm
There are 6 sides to a box.
Surface area = 2 x length x width + 2 x length x height + 2 times height x width
SA = 2*7*5 + 2*7*3 + 2*5*3
SA = 70 + 42 + 30
SA = 142 cm^2
What is x 35x+10=190
Answer:
Step-by-step explanation:
35x + 10 = 190
35x = 190 - 10
35x = 180
x = 180 / 35
Therefore x = 5.14
Answer:
x=5 1/7 or 5.14
Step-by-step explanation:
35x+10=190
35x=190-10
35x=180
x= 180÷35
x=5 1/7 or 5.14
According to the diagram, which way is the magnetic
field pointing?
O into the screen
O out of the screen
O left
Oright
Answer:
The answer is left
Step-by-step explanation:
Answer:
Left
Step-by-step explanation:
Took it on edg
Susan asked several dozen people to find out there height and shoe size. She then she planned to take the data that will predict the a persons shoe size based on there height. What would be the independent variable here?
Jorge watches cars that pass in front of his house. He counts 25 red cars and 40 cars that are not red. What is the approximate probability that the next car Jorge sees is red?
A) 62.5 %
B) 8/5
C) 0.33
D) 5/13
Step-by-step explanation:
firstly you will add
the red cars and non red cars together and which is 65
probability of the red car = 25/65
to the lowest form is the 5/13(D)
Answer:
its D
Step-by-step explanation: