Step-by-step explanation:
a. 15 + (1.25x6) = 22.5
b. 15 + (1.25x8) = 25
c. (15x3) + (30) = 75
jada walks at a speed of 3mph. elena walks at a speed of 2.8 mph. if they both begin walkign along a walking trail at the same time, how much father will jada walk adter 3 hours
Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.
Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.
To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.
Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:
Distance = Speed × Time
Plugging in the values, we have:
Distance = 3 mph × 3 hours
Distance = 9 miles
Therefore, Jada will walk a distance of 9 miles after 3 hours.
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The given information is as follows:
Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.
Therefore, Jada will walk 9 miles after 3 hours.
The distance covered by Jada after 3 hours can be calculated as follows:
Distance = Speed x Time
Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:
Distance covered by Jada = 3 mph x 3 hours
= 9 miles.
Therefore, Jada will walk 9 miles after 3 hours.
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Which of the following represents the most reasonable metric measurement for the height of a kitchen counter? 9.20×10 −4
ng 9.20×10 −4
Mm 9.20×10 −4
cm 9.20×10 −4
km 9.20×10 −4
pm
The most reasonable metric measurement for the height of a kitchen counter is in cm (centimeters), i.e., 9.20×10 −4 cm.
The metric system consists of standard units of measurement for length, weight, and volume. The metric system is based on the decimal system and is used in most countries in the world, except for the United States.
The height of a kitchen counter is a measurement of length. One reasonable metric measurement for the height of a kitchen counter is centimeters (cm). Centimeters are a commonly used unit of measurement in the metric system and are appropriate for measuring smaller lengths such as the height of a kitchen counter.
Therefore, the option C, 9.20×10 −4 cm. is correct.
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In a sale, normal prices are reduced by 35% The normal price of a bed is $1200 Work out the sale price of the bed.
Answer:
£780
Step-by-step explanation:
as its a decrease
we subtract 35 from 100 to get 65
we then divide 65 by 100
to get 0.65
then we do 0.65*1200
to get the answer of $780
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%. The sale price of the bed is $780.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the normal price of a bed is $1200. Therefore, the sale price of the bed is,
Sale Price = $1200 × (100% - 35%)
= $1200 × 65%
= $780
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show that the function f(x) = [infinity] x n n! n = 0 is a solution of the differential equation f ′(x) = f(x).
This equation holds true for any value of x, which means that f(x) = ∑(n=0)(∞) xn/n! is indeed a solution of the differential equation f′(x) = f(x).
To show that the function f(x) = ∑(n=0)(∞) xn/n! is a solution of the differential equation f′(x) = f(x), we need to demonstrate that f′(x) = f(x) holds true for this function.
Let's first compute the derivative of f(x) using the power series representation:
f(x) = ∑(n=0)(∞) xn/n!
f'(x) = ∑(n=1)(∞) nxn-1/n!
Now we can substitute f(x) and f'(x) into the differential equation:
f′(x) = f(x)
∑(n=1)(∞) nxn-1/n! = ∑(n=0)(∞) xn/n!
We can rewrite the left-hand side of this equation by shifting the index of summation by 1:
∑(n=1)(∞) nxn-1/n! = ∑(n=0)(∞) (n+1)xn/n!
We can also factor out an x from each term in the series:
∑(n=0)(∞) (n+1)xn/n! = x∑(n=0)(∞) xn/n!
Now we can see that the right-hand side of this equation is just f(x) multiplied by x, so we can substitute f(x) = ∑(n=0)(∞) xn/n! to get:
x ∑(n=0)(∞) xn/n! = ∑(n=0)(∞) xn/n!
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To show that the function f(x) = ∑(n=0 to infinity) xn/n! is a solution to the differential equation f′(x) = f(x), we need to show that f′(x) = f(x).
First, we find the derivative of f(x):
f′(x) = d/dx [ ∑(n=0 to infinity) xn/n! ]
= ∑(n=1 to infinity) xn-1/n! · d/dx (x)
= ∑(n=1 to infinity) xn-1/n!
Now, we need to show that f′(x) = f(x):
f′(x) = f(x)
∑(n=1 to infinity) xn-1/n! = ∑(n=0 to infinity) xn/n!
To do this, we can write out the first few terms of each series:
f′(x) = ∑(n=1 to infinity) xn-1/n! = x^0/0! + x^1/1! + x^2/2! + x^3/3! + ...
f(x) = ∑(n=0 to infinity) xn/n! = x^0/0! + x^1/1! + x^2/2! + x^3/3! + ...
Notice that the only difference between the two series is the first term. In the f′(x) series, the first term is x^0/0! = 1, while in the f(x) series, the first term is also x^0/0! = 1. Therefore, the two series are identical, and we have shown that f′(x) = f(x).
Therefore, f(x) = ∑(n=0 to infinity) xn/n! is indeed a solution to the differential equation f′(x) = f(x).
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How do you Find the value of the variable?
Answer:
x = 33
Step-by-step explanation:
x = (135 - 69)/2 Tangent Secant Product
x = 66/2
x = 33
Which triangle is similar to triangle T
Answer:
2nd one from the left.
Step-by-step explanation:
it has the same angle measures.
I need help pls thank you
Blah blah
Answer:
TSP RSU
Step-by-step explanation:
Hope this helps!
Jesse’s luggage weighs 55 pounds. The airline says that luggage cannot be more than 30 kilograms. Is her luggage under this limit? Explain.
Answer: yes, her luggage is under limit
Step-by-step explanation:
1 kg = 2.2 pounds
Take 55 divided by 2.2 = 25 kg
25 < 30
Her luggage is under the limit
The population of rabbits on an island is growing exponentially. In the year 1992, the population of rabbits was 8300, and by 2000 the population had grown to 21500. Predict the population of rabbits in the year 2009, to the nearest whole number.
Answer:
36350
Step-by-step explanation:
1992 : 8300
2000 : 21500
1992/2000 = 8300/21500
Each year, population grow around 1650 rabbits
In 2009: 21500+(1650*9) = 36350
Type the missing number to complete the proportion. 86 chairs in 2 rows = chairs in 1 row Submit
hello
from the question given, we have
\(\begin{gathered} 86\text{chairs}=2\text{rows} \\ x\text{ chairs= 1 row} \end{gathered}\)cross multiply both sides
\(\begin{gathered} 86\text{chairs}=2\text{rows} \\ x=1 \\ 2\times x=86\times1 \\ 2x=86 \\ \end{gathered}\)divide both sides by 2
\(\begin{gathered} \frac{2x}{2}=\frac{86}{2} \\ x=43 \end{gathered}\)from the calculation above, we have 43 chairs in 1 row
The average score of students in the first group is 39, the second group is 32, and the third group is 43. If the numbers of students in the three groups are 24, 26, and 27, respectively, find the average score of all students.
The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.
The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.
To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.
Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929
Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.
This means that the overall performance of all the students is slightly below the average of the scores in each group.
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factor the following quadratic equation 4x^2-8x+3
Answer:
\((2x - 1)(2x - 3)\)
Step-by-step explanation:
1) Split the second term in 4x² - 8x + 3 into two terms.
\( {4x}^{2} - 2x - 6x + 3\)
2) Factor out common terms in the first two terms, then in the last two terms.
\(2x(2x - 1) - 3(2x - 1)\)
3) Factor out the common term 2x-1.
\((2x - 1)(2x - 3)\)
Therefor, the answer is (2x - 1) (2x - 3).
a doctor is measuring the average height of male students at a large college. the doctor measures the heights, in inches, of a sample of 40 male students from the baseball team. using this data, the doctor calculates the 95% confidence interval (63.5, 74.4). which one of the following conclusions is valid?
The correct conclusion is:
"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."
Given,
At a huge institution, a doctor is determining the typical height of the male students.
Inches are used to measure the heights of a sample of 40 male baseball team players.
The doctor computes the 95% confidence interval using this information (63.5, 74.4).
The following conclusions is valid:
"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."
We can guarantee that the target variable will be within the confidence interval for a given confidence level since we know the confidence interval reflects an interval.
The true mean of heights for male students at the college where the doctor measured heights is represented by the provided case's confidence level of 95% and confidence interval of (63.5, 74.4).
The doctor is therefore 95% certain that the range of the mean height of male students at the college is valid (63.5, 74.4).
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When can parallelism make your algorithms run faster when could it make your algorithms run slower?
When an algorithm necessitates extensive sharing of instantaneous results, parallelism slows it down. Because there are multiple independent parallel processes and the right number of threads, parallelism will speed up an algorithm.
What algorithm is parallelizable?The ones with data dependencies are the most challenging. It will be exceedingly challenging, for instance, if you are dealing with a vector and the input for the computation at point n depends on the output at position n-1.
When this occurs, you must comprehend what the original algorithm is doing and take an alternative approach. For the aforementioned case, it might be a difficulty with digital signal processing including a feedback-containing digital filter. These are challenging to parallelize, but that is not the sole solution. Instead, you might use the filter and signal's fast Fourier transforms, multiply them, and then perform the inverse transform. All of these operations can be partially parallelized.
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Divide using polynomial long division.(3x^3 - 12x^2+ x + 22) : (x - 2)
ANSWER
3x² - 6x - 11
EXPLANATION
Calculate the change in thermal when 230 g of water warms from 12c to 90c
The change in thermal energy is 75.06 kJ.
To calculate the change in thermal energy, we need to use the specific heat capacity of water, which is 4.184 J/(g°C).
First, we need to calculate the change in temperature:
ΔT = 90°C - 12°C
ΔT = 78°C
Next, we can calculate the change in thermal energy:
ΔQ = m × c × ΔT
where m is the mass of water and c is the specific heat capacity of water.
ΔQ = 230 g × 4.184 J/(g°C) × 78°C
ΔQ = 75060.96 J or 75.06 kJ (rounded to two decimal places).
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write an equation for the horizontal line that passes through
the equation of the horizontal line passing through (-3, 4) is y = 4.
The equation of a horizontal line is of the form y = c, where c represents the y-coordinate of any point on the line. In this case, we are given that the line passes through the point (-3, 4). Since the line is horizontal, the y-coordinate remains constant for all points on the line.
Therefore, the equation of the horizontal line passing through (-3, 4) is y = 4. This means that no matter what x-value we choose, the y-value will always be 4.
In other words, all the points on this line will have a y-coordinate of 4.
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Complete question is below
Write the equation of the horizontal line that passes through (-3, 4).
The equation for the horizontal line that passes through a given point is y = b.
A horizontal line is a straight line that is parallel to the x-axis. The equation of a horizontal line is of the form y = c, where c is a constant. Since the line is horizontal, the value of y remains constant for all values of x. Therefore, the equation of a horizontal line passing through a given point (a, b) is y = b.
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I really need the answer ASAP
The construction workers are constructing a line of bricks. Each brick is 8 inches long. If the line of bricks must be 24 feet long, how many bricks will the construction workers need to use?
Answer:
thhe answer would only be 3 feet
Step-by-step explanation:
Allison plays basketball and last season she made a total of 87 shots (two- or three- point shots). Her points total was 191. How many three-points shots did she make
Answer:
17
Step-by-step explanation:
Let the number of 2 point shots be t.
Let the number of 3 point shots be h.
Allison made 87 shots and scored 191 total points. This implies two things:
t + h = 87 ________(1)
2t + 3h = 191 ______(2)
Let us eliminate t by multiplying (1) by 2 and subtracting from (2):
=> 2t + 3h = 191
- 2t + 2h = 174
h = 17
Therefore, she made 17 three point shots.
4(x-2)+5x=7x-14 find x
Answer:
x = -3
Step-by-step explanation:
Answer:
x= -11
Step-by-step explanation:
you multiple 4 times the things in the parentheses and solve for x
The radius r of the base of a cone is given by the equation r=(3V/piH)
, where V is the volume of the cone and h is the height of the cone. Find the radius of the paper cup to the nearest inch. Use 3.14 for pi .
Answer:
1 inStep-by-step explanation:
Given the expression to calculate the radius r of the base of a cone is given by the equation
r=(3V/piH)
v is the volume = 5in^3
H = 4in
pi = 3.14
Substitute
r = 3(5)/3.14(4)
r = 15/12.56
r = 1.19
r = 1in to the nearest inch
Helen Ming receives a travel allowance of $230 each week from her company for time away from home. If this allowance is taxable and she has a 28 percent income tax rate, what amount will she have to pay in taxes for this employee benefit? (Round your final answer to 2 decimal places.)
Given :
Helen Ming receives a travel allowance of $230 each week from her company for time away from home.
This allowance is taxable and she has a 28 percent income tax rate.
To Find :
Amount will she have to pay in taxes.
Solution :
Tax paid ( T ) = 28% of $230 .
\(T=230\times \dfrac{28}{100}\\\\T=\$64.4\)
Therefore, amount will she have to pay in taxes for this employee benefit is $64.4 .
Hence, this is the required solution.
Draw and label what this pizza looks like if it is made exactly as it was ordered to be:
1. half-onion
2. two-thirds olives
3. nine-sixteenths mushrooms
4. five-eighths pepperoni
5. one-eighth anchovies
6. extra cheese on five-eighths on the onion half
Please fast
I will give u brainlist
1. Which is the slope of the line that passes through points (1,1) and (2,7)
1a. Pick a point the line passes through above with the slope you calculated, find the y-intercept
1b. Now that you know the slope and y-intercept, what is the equation of the line ?
Answer:
y=6x-5
Step-by-step explanation:
1) Use slope formula to find the slope. Slope is 6
1a) Substitute (1,1) in the equation. -5
1b) y=6x-5
Hope this helps :-)
List the elements of each of the following sample spaces: (a) the set of integers between 1 and 50 divisible by 8. (b) the set S = {x | x2 + 4x − 5 = 0}. (c) the set of outcomes when a coin is tossed until a tail or three heads appear. (d) the set S = {x | 2x − 4 ≥ 0 and x < 1}.
a)
{8, 16, 24, 32, 40, 48, -8, -16, -24, -32, -40, -45}
b)
S = {-5, 1}
c)
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
d)
S = Ф
What is a set?A set is a collection of items where there are operations such as:
Union of sets, the intersection of sets, and the complement of sets.
We have,
(a)
The set of integers between 1 and 50 is divisible by 8.
= {8, 16, 24, 32, 40, 48, -8, -16, -24, -32, -40, -45}
(b)
The set S = {x | x² + 4x − 5 = 0}.
Solve for x.
x² + 4x - 5 = 0
x² + (5 - 1)x - 5 = 0
x² + 5x - x - 5 = 0
x(x + 5) - 1(x + 5) = 0
(x + 5) (x - 1) = 0
x = -5x + 5 = 0
x - 1 = 0
x = 1
So,
S = {-5, 1}
(c)
The set of outcomes is when a coin is tossed until a tail or three heads appear.
A coin is tossed 3 times.
{H, T} {H, T} {H, T}
= {HH, HT, TH, TT} {H, T}
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
(d)
The set S = {x | 2x − 4 ≥ 0 and x < 1}.
When x = 0,
2 x 0 - 4
= - 4 ≥ 0 (not true)
When x = -1,
2 x (-1) - 4
= -2 - 4
= -6 ≥ 0 (not true)
We see that there are no such x values.
So,
S = Ф (null set) = empty set.
Thus,
The solution for each part is given above.
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An ice machine produces ice cubes that are inch on each side.
What is the volume, in cubic inches, of one ice cube produced by this
ice machine?
The volume of an ice cube produced by this machine is of:
Volume ice cube = 1 inch³
What is a volume?A volume is the physical space that an object occupies in space, although it is also defined as the capacity of space that a hollow object may have.
If this machine produces ice that has a cube shape with a side of 1 inch, then to know the value of the volume of these cubes we will use the following equation:
Volume cube = side x side x side
Volume cube = side³
side = 1 inch
Volume ice cube = 1 inch³
As the side is 1 the volume and area will be 1 but with corresponding unit
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Rachel's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?
Answer:
4 times
Step-by-step explanation:
there is 16 cups of water in a gallon
16/4=4
the figure below is made of two triangular prisms. what is the volume of the figure
Answer:
896 cubic inches
Step-by-step explanation:
V (Δ prism) = 1/2 · height · base · length
V (top prism) = 1/2(6)(12)(14)
V (top prism) = 504 in³
V (bottom prism) = 1/2(7)(8)(14)
V (bottom prism) = 392 in³
504 + 392 = 896
In the equation
(x-3)2+(y-2)2=16, the center of the circle is...
Answer:
The center circle of this question is (2,3)