An ant can walk 8 feet in 1 minute.
Write an equation which describes how many minutes, t, it takes for an ant to walk d feet.
Answer:
8=t/d
Step-by-step explanation:
The lowest altitude of an alto cumulus
cloud is about 38 feet. The highest altitude of an
altocumulus cloud is about 3 times the lowest
altitude. What is the highest altitude of an alto
cumulus cloud? Write your answer as a
power.
The highest altitude of an altocumulus cloud is 3⁹ ft in power.
What is an exponent?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward way.
The amount of times a number has been multiplied by itself is shown by its exponent.
Given the lowest altitude of an alto cumulus cloud is about 3⁸ feet. The highest altitude of an altocumulus cloud is about 3 times the lowest altitude.
To find the highest altitude of an altocumulus cloud, we must solve as follows:
Let the lowest altitude be x. Then,
3⁸ = x
The highest altitude will be 3x which is 3(3⁸).
⇒3(3⁸) = 3x
⇒3(6561) = 3x
Simplifying further,
⇒3x6561= 19683
⇒3 (3 x 3 x 3 x 3 x 3 x 3 x 3 x 3) = 19683
⇒3⁹= 19683
Therefore, the highest altitude of an altocumulus cloud is 3⁹ ft in power.
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Daniel wants to do 208 practice problems to prepare for an exam. If he wants to do 8 problems a day, how many days would it take him to complete 208 problems?
A number line going from 0 to 336.
26 days
13 days
12 days
8 days
Answer:
8 problems per day for
12 of the days and
9 problems per day for
24 of the days
Step-by-step explanation:
On a number line, A is at 5 and B is at 50. Point X is the midpoint. Point T is 2/3 of the way from X to B. Determine the coordinate of point T.
Coordinate of X = ________
Distance of XB = ________
Fractional distance 2/3(XB) = _________
Coordinate of T = ________
[tex]x = \frac{b + a}{2} = \frac{50 + 5}{2} = \frac{55}{2} = 27.5[/tex]
Part 2[tex]xb = b - x = 50 - 27.5 = 27.5[/tex]
Part 3[tex] \frac{2}{3} xb = \frac{2}{3} (27.5) \approx18.34[/tex]
Part 4[tex]t = \frac{2}{3} ab = \frac{2}{3} (b - a) = \frac{2}{3} (45) =15 \\ [/tex]
Use inductive reasoning to predict the next three numbers in the pattern
The inductive reasoning to predict the next numbers in the pattern is 1/256
Given ,
The pattern is 16,4,1,1/4,1/16 is 1/256
we apply the the Geometric progression formula
an=ar^n-1
an=16/4^n-1
so we get is 1/256.
A geometric progression is a sort of progression in which the succeeding terms have the same constant ratio, known as the common ratio. It is also known colloquially as GP. The GP is commonly expressed as a, ar, ar2...., where 'a' is the first term and 'r' is the progression's common ratio. There are two kinds of geometric progression. They have
There are two types of geometric progression: limited geometric progression and infinite geometric development.
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a. The lengths of two sides of a triangle are 8 and 10 , and the measure of the angle between them is 40°. What is the approximate length of the third side?
Answer:
6.437
Step-by-step explanation:
By the Law of Cosines, if we let the length of the third side be x,
[tex]x^2 = 8^2 + 10^2 - 2(8)(10)\cos 40^{\circ} \\ \\ x=\sqrt{8^2 + 10^2 - 2(8)(10)\cos 40^{\circ}} \\ \\ x \approx 6.437[/tex]
Suppose that a function pairs elements from set A with elements from set B . Recall that a function is called onto if every element in B is paired with at least one element in A .
b. What are the domain and range of the function?
The domain of the function will be the elements present in Set A and the range will be the elements present in Set B.
Domain of a function:
The domain of a function refers to the set of all possible inputs for the function. For example, we get that the domain of f(x) = x² is all real numbers, and the domain of g (x) = 1 / x is all real numbers except for x = 0( as it will make the function indefinite.) Some special functions can also be defined whose domain are limited.
Domain here will be = Set A
Range of a function:
The range of a function refers to the complete set of all possible resulting values of the dependent variable, after we have substituted the domain.
Range of the function here will be = Set B.
Therefore, we get that, the domain of the function will be the elements present in Set A and the range will be the elements present in Set B.
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A basketball player has made 21 of her last 30 free throws-a percentage of 70 % . How many more consecutive free throws does she need to raise her free throw percentage to 75 % ?
a. How can you model the player's free throw percentage as a rational function? (Hint: Let x= the number of additional free throws needed.)
For a 75% success percentage, she needs to hit 23 of her final 30 throws.
The rational function for a player's free throw percentage will be:
y = (21/30) * 100
How is rational function made?A function that is the sum of polynomials is referred to as rational. If a function of one variable, x, can be written as :
[tex]f(x) = p(x)/q(x),[/tex]
where p(x) and q(x) are polynomials with q(x) = 0,
then the function is said to be rational. The phrase f(x) = (x2 + x - 2) / (2x2 - 2x - 3) denotes a rational function; in this case, 2x2 - 2x - 3 = 0.
Every constant is a polynomial, thus we know that the numerators of rational functions may also be constants. A rational function would be f(x) = 1/(3x+1), for instance.
CALCULATIONIf the basketball player is making 70% successful throw rate by making 21 of last 30 free throws
so, for raising her throw rate to 75% she should throw:
x/30 * 100 = 75%
x = 75 * 3 / 10
x = 15 * 3 /2
x = 22.5 ≈ 23
therefore , she should make 23 of her last 30 free throws to raise her success rate to 75%
For this case what you should do is write the following function:
y = (a / b) * 100
Where,
A: amount of successful free throws
B: total amount of free throws
Substituting values we have:
y = (21/30) * 100
The result is:
Y = 70% (as we expected)
a rational function that can model the player's free throw percentage is:
y = (21/30) * 100
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Evaluate the expression -7x -1/6y +2z-xy+28 when x = 2, y=12 and z =9
SHOW WORK FOR BRAINLIST.
Answer: 12
Step-by-step explanation:
x = 2, y=12 and z =9
-7x -1/6y +2z-xy+28=
-7(2) -1/6(12) +2(9)-(2)(9)+28=
-14-12/6+18-18+28=
-14-2+28=
-(14+2)+28=
-16+28=
28-16=12
the sum of 3 times a number and 4 is equal to 7.
Answer: the number is one and the equation would be 3x+4=7
Step-by-step explanation:hope it helps, brainliest? i could really use it
Equation:
[tex]3 \times x + 4 = 7[/tex]
Answer:
[tex]x = 1[/tex]
Step-by-step explanation:
Subtract by 4
[tex]3x + 4 - 4 = 7 - 4\\[/tex]
Simplify(Not cancel)
[tex]3x = 3[/tex]
Divide sides by 3
[tex]\frac{3x}{3} = \frac{3}{3}[/tex]
Find the result by division
[tex]\frac{3}{3} = 1[/tex]
Thus,
x = 1
During the summer, you work 25 hours per week at the Twist Ice
Cream Shop and earn $8.00 per hour. You also mow lawns in your
neighborhood for $10 per hour and can work as many hours as
you want. You want to earn a total of $500 per week.
Evaluate
-3 (2) (-1) (4)
64854755555557427382675
An administrator is troubleshooting a switch and wants to verify if it is a root bridge. what command can be used to do this?
An administrator is troubleshooting a switch and wants to verify if it is a root bridge. show spanning-tree command can be used to do this
This is further explained below.
What is troubleshooting?Generally, In the realm of issue resolution, troubleshooting is a technique that is most often used to fix malfunctioning items or processes on a machine or in a system.
It is a methodical and logical investigation into the cause of a problem, with the end goal being to eradicate the issue and restore normal function to the affected product or procedure. It is necessary to do troubleshooting in order to detect the symptoms.
In conclusion, A switch is now being investigated by an administrator, and they want to determine whether or not it is a root bridge. This may be accomplished with the help of the display spanning-tree command.
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2. For a-4-5c when c=-12, what does a equal?
The value of a that we get after solving the expression, we get that a = - 56.
We are given the expression that:
a - 4 - 5 c = 0
We are also given that:
c = - 12
Now we will substitute the value of c in the equation.
So, we get that:
a - 4 - 5 ( -12 ) = 0
Now, we multiply the brackets, we get that:
a - 4 + 60 = 0
Now combining the like terms, we get that:
a + 56 = 0
Subtract 56 from both sides, we get that:
a + 56 - 56 = 0 - 56
a = - 56
Therefore, the value of a that we get after solving the expression, we get that a = - 56.
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Avery is deciding between two landscaping companies for her place of business.
Company A charges $45 per hour and a $300 equipment fee. Company B charges
$70 per hour and a $200 equipment fee. Let A represent the amount Company A
would charge for t hours of landscaping, and let B represent the amount Company B
would charge for f hours of landscaping. Write an equation for each situation, in
terms of t, and determine the interval of hours, t, for which Company A is cheaper
than Company B.
According to the linear equations, At 4 hours both companies charge the same rate.So Company A is cheaper if the time is less than 4 hours. After 4 hours, company B is cheaper.
According to the statement
We have to find that the comparison of the linear equation.
So, For this purpose, we know that the
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
From the given information:
Company A charges $45 per hour and a $300 equipment fee. Company B charges
$70 per hour and a $200 equipment fee.
Then
Let A(t) = 45t + 300
Let B(t) = 70t + 200
We can determine time t when both companies charge the same rate by equating the two equations.
45t + 300 = 70t + 200
Subtract 25t from both sides and subtract 150 from both sides
25t = 100
Divide both sides by 25
t = 4
So, According to the linear equations, At 4 hours both companies charge the same rate.So Company A is cheaper if the time is less than 4 hours.After 4 hours, company B is cheaper.
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Which of the following relations is not a function?
A) (-7,4)
(4,3)
(-5, 1)
(6,2)
B) (-5,4)
(4,2)
(6,1)
(-7,5)
C) (6,4)
(-5,2)
(4,1)
(-7,2)
D (4,4)
(-5,2)
(4,1)
(-7,2)
Part (D) is not a function as he element 4 has two images in y that is 4 and 1.
We are given some relations.
We need to tell which of the following is not a function.
A relation is a function when every element of x has only one mapping on the every element of y.
That is when we put one value of x, there should not be 2 values for y.
For part (A),
It is a function as it satisfies the condition.
For part (B),
It is also a function as it also satisfies the condition.
For part (C)
It is also a function as it also satisfies the condition.
Fort part (D),
It is not a function as the element 4 has two images in y that is 4 and 1.
Therefore, part (D) is not a function as he element 4 has two images in y that is 4 and 1.
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How many feet of the parking lot are presented by 1 centimeter on the scale drawing?
The number of feet of the parking lot thay are presented by 1 centimeter on the scale drawing is 12 feet.
How to calculate the feet?The width of 48 feet is represented by 12.8cm; the length represented by 1cm is 48/12.8 = 15/4 = 3.75 feet.
The length on the drawing is 3.2cm, which is exactly 1/4 of the width of 12.8cm.
It should be noted that therefore the length of the actual parking lot is 48/4 = 12 feet.
In conclusion, it is 12 feet.
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The width of the parking lot is 48 feet. How many feet of the parking lot are represented by 1 centimeter. Based on the scale drawing, what is the length, in feet, of the actual parking lot? On the drawing, they have the width of 12.8 cm and a length is 3.2 cm.
Barbara is in charge of the award medals for a sporting event. She has
31 medals to present to various individuals on 6 competing teams. She asserts that at least one
team will end up with more than 5 medals. Do you believe her
assertion? Justify your argument.
It should be noted that Barbara asserts that at least one team will end up with more than 5 medals. In this case,she's correct as a team will have 6 medals.
How to illustrate the information?From the information, Barbara is in charge of the award medals for a sporting event and she has 31 medals to present to various individuals on 6 competing teams.
It should be noted that each team will get:
= 31 / 6
= 5 remainder 1
Therefore, she asserts that at least one
team will end up with more than 5 medals. In this case, she's correct.
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Jermaine lives in Los Angeles and his cousin Brandon lives in San Francisco. The two cities are 381 miles apart. They want to meet somewhere in between the two cities. They start at 8:00 am in the morning. Jermaine drives at 67 miles per hour, and David drives at 60 miles per hour. What time will they meet?
If the two cities are 381 miles apart and speed of Jermaine is 67 miles per hour and the speed of David is 60 miles,then they will meet at 10:46 A.M.
Given that the two cities are at a distance of 381 miles and they start at 8:00 am in the morning.
We are required to find the time at which Jermaine and Brandon.
let the distance that Jermaine covers be x. In this way the distance that is covered is 381-x.
Time=Distance/speed
x/67=(381-x)/60
60x=67(381-x)
60x=25527-67x
137x=25527
x=25527/137
x=186.33
Distance that is covered by Brandon=381-186.33
=144.67 miles
Time taken by David=x/67
=186.33/67
=2.78 hours
We have to break an hour in 78% which is 46.8 minutes.
Actual time=(8+2)hours+46.8 minutes=10:46 A.M.
Hence if the two cities are 381 miles apart and speed of Jermaine is 67 miles per hour and the speed of David is 60 miles,then they will meet at 10:46 A.M.
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HELP PLEASE
Evaluate the expression.
3
4
2
5
–
1
5
1
4
Write your answer as a fraction or as a whole or mixed number.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{3}{4}\times\dfrac{2}{5} - \dfrac{1}{5}\times\dfrac{1}{4}}[/tex]
[tex]\mathsf{= \dfrac{3\times2}{4\times5} - \dfrac{1\times1}{5\times4}}[/tex]
[tex]\mathsf{= \dfrac{6}{20} - \dfrac{1}{20}}[/tex]
[tex]\mathsf{= \dfrac{6 - 1}{20 - 0}}[/tex]
[tex]\mathsf{= \dfrac{5}{20}}[/tex]
[tex]\mathsf{= \dfrac{5\div5}{20\div5}}[/tex]
[tex]\mathsf{= \dfrac{1}{4}}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{1}{4}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]pls help i lll give brain ist yeah
Answer:
(10) 10^5
Step-by-step explanation:
A stationery shop orders a batch of pens from a factory.
The factory could make the batch of pens in
20 days using 12 machines.
Due to a fault, only 3 machines were used for the first 8 days.
All 12 machines were used from day 9 onwards.
Work out the total number of days taken to make the batch of pens.
The total number of days taken to make the batch of pens is 22.
How to solve Algebra Word Problems?
An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1.
From the given conditions in the question about the factory making batch of pens, we can generate the formula:
(8 + 20) - ((8 * 9) ÷ 12)
Using PEMDAS, let us find the product to get;
(8 + 20) - (72/12)
Next operation is to divide what is in the bracket to get:
(8 + 20) - 6
Next operation is addition of the bracket content to get; 28 - 6
Next operation is to carry out subtraction to get: 22
Thus, the total number of days taken to make the batch of pens is 22.
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HELP ASAP I DONT KNOW WHAT TO DO
Answer:I hope this helps.
Step-by-step explanation:
which is the oppisite of -12
The opposite of the number -12 is 12
How to determine the opposite of -12?The number is given as
Number = -12
As a general rule, the opposite of a number x is
Opposite = -x
This means that the opposite of -12 is 12
Hence, the opposite of -12 is 12
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A rectangular carpet measures 10 m by 6 m
Part of the carpet is covered by a square rug of length 2m
What fraction of the carpet is
covered by the rug?
Give your answer in its simplest form.
Optional working
Answer:
Answer:
Step-by-step explanation:
A rectangular carpet measures 8 m by 6 mPart of the carpet is covered by a square rug of length 2 m
Hullan is 5 years older than Thomas. The sum of their ages is 69. What is Thomas's age?
Answer:
29
Step-by-step explanation:
69/2
pls solve this fraction by steps
Answer:
-30
Step-by-step explanation:
-5/2 × 12
= -5/2 x 12/1
= (-5 × 12)/(2 × 1)
= -60/2
= -30
Answer:
-30 if this equation is multiplication!
Step-by-step explanation:
-5/2 times 12 (OG equation)
-5/2 times 12/1 (Convert)
-5 times 12/ 2.1 (Fraction Rule)
-5 times 12/2 (Multiply)
-5 times 6 (divide 12 by 2)
-30 (Simplify)
Have a great day! :D
what measurement is the same lenght as 1 meter
Answer:
1000 millimetre
0.001 kilometre
0.000001 megametre
I need help to find each product for the blank first one and the bottom one simplify each expression
Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.
The term repeating decimals refers to non-terminating decimals that repeat. If the digits after the decimal point end, the number has a terminating decimal expansion.
A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic and the infinitely repeated portion is not zero. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating
5- terminating
6- repeating
7- terminating
8-teminating
9-terminating
10-terminating
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Margo mixed 24 ounces of blue paint and 16 ounces of red paint to create a new purple color. In order to create 72 more ounces of this exact purple color, how many ounces of red paint would she need?
Answer:
Step-by-step explanation:
Well, since 24+16 is 40, this would mean we get 40 ounces of purple paint. There is also a 150% difference between 24 and 16, so 2/3 times 24 = 16.
2/3 of the mixture is blue paint, while 1/3 of the mixture is red paint, so 1/3 of 72 is 24.
Thus, the answer is 24 ounces of red paint.