Answer:
m=5
Step-by-step explanation:
1. Convert the logarithm into exponential form using the fact that \(log_{a}\)(x)=b is equal to x=\(a^{b}\) so ... 4m-10=\(10^{1}\)
2. Any expression raised to the power of 1 equals itself so ... 4m-10=10
3. Move the constant to the right-hand side and change its sign so ... 4m=10+10
4. Add the numbers so ... 4m=20
5. Divide both sides of the equation by 4 so ... m=5, m>\(\frac{5}{2}\)
6. Check if the solution is in the defined range so ... m=5
Max's Market sells 6 eggs for £1.86.
Groceries Galore sells 8 eggs for £2.56.
Fancy Foodstuffs sells 12 eggs for £3.48.
Which shop's price per egg is better?
Answer:
fancy foodstuff .29 per eggs
Step-by-step explanation:
max's market .31 per eggs
galore .32 per eggs
fancy foodstuff .29 per eggs
Please can someone help with this question I’m very confused
Answer:
c) terms
Step-by-step explanation:
terms are like \(x\)A researcher believes that a new training program will increase test scores. Previous research shows that test scores increase 8 points between the first and second administration of the test being used. This researcher believes his training program will cause a significant increase, beyond the expected 8 points. If a paired-samples t test is used by this researcher, what value would he expect to be at the center of the comparison distribution, a distribution of mean differences
Answer:
value = 8
Step-by-step explanation:
when a paired-samples t test is used by this researcher we will write out the hypothesis as follows
H0: μd ≤ 8 ( null )
Ha: μd > 8 ( alternate )
Given the above Hypothesis
If a paired-sample T test is used by the researcher the value that would be at the center of the comparison will be 8
The area of a trapezoid can be found using the expression
1/2h(b1+b2)
where h is the height and b1 and b2 are the lengths of the bases
a trapezoid has a height of 12 units and bases or (2x+3) and (3x+1).
which expression represents the area of the trapezoid?
answer options:
5x+4
6x+3
30x+42
60x+48
The area of the trapezoid is 30x + 42. Option C
How to determine the expressionThe formula for calculating the area of a trapezoid is expressed as;
A = 1/2h(b1+b2)
Such that the parameters are enumerated as;
A is the areab1 and b2 are the bases of the trapezoidh is the height of the trapezoidNow, substitute the values, we get;
Area = 1/2 × 12(2x + 3 + 3x + 4)
collect the like terms, we have;
Area = 6(5x + 7)
Expand the bracket, we get;
Area = 30x + 42
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The numbers of attendees at the carnival over the last 15 days are 50, 200, 175, 125, 75, 100, 150, 225, 250, 100, 125, 75, 25, 225, and 175. Identify the box-and-whisker plot for the data.
The box-and-whisker plot for given data is as shown below.
What is box and whisker plot?"It is a special type of diagram showing Quartiles 1, 2 and 3 in a box, with lines extending to the lowest and highest values.""It is way to show the spread and centers of a data set."What is median?"It is the middle value of a sorted list of numbers."
For given question,
We have been given a data that represents the numbers of attendees at the carnival over the last 15 days are 50, 200, 175, 125, 75, 100, 150, 225, 250, 100, 125, 75, 25, 225, and 175.
If we arrange the data in ascending order then it would be,
25, 50, 75, 75, 100, 100, 125, 125, 150, 175, 175, 200, 225, 225, 250
The minimum value = 25
And the maximum value = 250
Also, the middle value is 125.
So, the median is 125.
The box-and-whisker plot for given data is as shown below.
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Complete the equation of the line through (3, -8) and (6,-4).
Use exact numbers.
Answer:
y= 4/3x - -12
Step-by-step explanation:
Jarvis and his family are at the dine-in movies and wish to purchase some popcom. A large popcom costs $18 and a small popcom costs $12. Jarvis offered to pay for the popcom with $50 in his wallet.
Create an inequality in standard form that describes this situation.
Use the given numbers and the following variables.
• x = the number of large popcoms
• y = the number of small popcorn
Answer:
18x + 12y ≤ 50
Step-by-step explanation:
Let x be the number of large popcoms and y be the number of small popcoms.
The cost of a large popcom is $18, and the cost of a small popcom is $12. The total cost of purchasing x large popcoms and y small popcoms is given by:
Total cost = 18x + 12y
The problem states that Jarvis has $50 in his wallet to pay for the popcoms. Therefore, we can write the following inequality:
18x + 12y ≤ 50
This inequality represents the situation where Jarvis and his family want to purchase popcoms, and Jarvis has $50 to spend. The inequality ensures that the total cost of the popcoms does not exceed $50.
Please answer this in two minutes
Answer:
Not a triangle
Step-by-step explanation:
Side lengths do not adhere to the triangle inequality theorem. Which states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side.
Graph the line y = 7/2x - 5
Answer:
slope: 7/2
y-int: (0, -5)
(0, -5) (10/7, 0)
Which is a potential rational root of f(x) at point p
The potential rational root of a polynomial f(x) at point p is the value of x for which the result of evaluation of f(x) at that point is zero.
A potential rational root of a polynomial f(x) at point p is a value of x where the result of evaluation of f(x) at that point is zero. By Rational Roots Theorem To find a potential rational root of a polynomial f(x), we first factorize f(x) into its factors and then identify the factors which are of the form (x-p). The value of x for which the result of evaluation of f(x) at that point is zero, is the potential rational root of the polynomial f(x).
For example, consider a polynomial f(x) = x^3 + 4x^2 + 7x +2.
To find a potential rational root of this polynomial at point p, we factorize f(x) as follows:
f(x) = (x - 1)(x^2 + 5x + 2)
The factor (x - 1) is of the form (x-p) and hence, 1 is a potential rational root of the polynomial f(x). To verify that 1 is indeed a potential rational root, we evaluate f(1):
f(1) = 1^3 + 4(1^2) + 7(1) + 2
= 1 + 4 + 7 + 2
= 14
Since f(1) ≠ 0, 1 is not a rational root of the polynomial f(x).
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Complete question:
What is a potential rational root of the polynomial f(x) at the point p?
Consider this system of equations.
p=2n
p-5 = 1. 5n
What value of n makes the system of equations true?
Enter your answer in the box.
Therefore, the value of n that makes the system of equations true is n = 10.
Given:
p = 2n
p - 5 = 1.5n
Substituting the value of p from the first equation into the second equation, we have:
2n - 5 = 1.5n
Next, we can solve for n by subtracting 1.5n from both sides of the equation:
2n - 1.5n - 5 = 0.5n - 5
Simplifying further:
0.5n - 5 = 0
Adding 5 to both sides of the equation:
0.5n = 5
Dividing both sides by 0.5:
n = 10
Therefore, the value of n that makes the system of equations true is n = 10.
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call a positive integer an uphill integer if every digit is strictly greater than the previous digit. for example, 1357, 89, and 5 are all uphill integers, but 32, 1240, and 466 are not. how many uphill integers are divisible by 15?
Using divisiblity rule ,
total six uphill integers are divisible by 15 .
First, we know the number must end in either 5 or 0 in order to satisfying being divisible by 15. but the number can't end in 0 because it's not strictly greater than the previous digits. Thus, our number must end in 5. Now, we consider cases for the number of digits.
Case 1: one digit, no numbers work, thus we get 0 number.
Case 2: Two digits, we have the numbers 15,45and 75, but 75 isn't an uphill number, thus we get 2 numbers.
Case 3: Three digits, we have the numbers 135, 345, thus we get 2 numbers.
Case 4: Four digits, we have the numbers 1235, 1245 and 2345, but only 1245 satisfies this condition, thus we get 1 number.
case 5: five digits, we have only 12345, thus we get 1 number.
adding all possible numbers we get , 0+2+2+1+1 = 6
Hence, 6 uphill integers are divisible by 15 .
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The x intercepts of y= 5(x-4)(x-3)
( , )
Please help ASAP
Answer:
(4, 0) and (3, 0)
Step-by-step explanation:
x - 4 = 0; x = 4
x - 3 = 0; x = 3
Judd has 57 of a tube of metallic paint. He wants to use all of the paint to paint 6 identical miniature figures.
Write a division expression that could be used to find the amount of paint that will be used to paint each figure.
Answer:
57 ÷ 6
Step-by-step explanation:
The answer to 57 ÷ 6 will give you the exact amount of paint Judd should use on each figure
Which of the following are dependent events
The event that is dependent is drawing a king from the deck of cards, replacing it, and then drawing a king again.
Option D is the correct answer.
We have,
Independent events:
Two events are independent if the occurrence of one event does not affect the occurrence of the other event.
Dependent events:
Two events are dependent if the occurrence of one event affects the occurrence of the other event.
Now,
Flipping a coin and getting tails and then flipping again is an independent event.
And,
Rolling a die and getting 6, and then rolling it again is an independent event.
And,
Drawing a 2 from the deck of cards, not replacing it, and then drawing again is an independent event.
And,
Drawing a king from the deck of cards, replacing it, and then drawing a king again is a dependent event.
Thus,
The events that are dependent are:
Drawing a king from the deck of cards, replacing it, and then drawing a king again.
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What is the domain and range?
Answer:
15
Step-by-step explanation:
if the value for δs is postive, and the value for δh is negative, thr reaction will be
A positive δS and a negative δH indicate a spontaneous reaction.
The signs of δs and δh are related to the spontaneity of a reaction through the Gibbs free energy equation:
ΔG = ΔH - TΔS
where ΔG is the change in Gibbs free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.
For a spontaneous reaction, ΔG must be negative. The sign of ΔG depends on the signs of ΔH and ΔS and the temperature. Specifically, if ΔH is negative (exothermic reaction) and ΔS is positive (increase in disorder), then ΔG will be negative and the reaction will be spontaneous at all temperatures.
If δs is positive and δh is negative, then ΔS is positive and ΔH is negative. This satisfies the conditions for a spontaneous reaction, and therefore the reaction will be spontaneous at all temperatures.
In summary, a positive δS and a negative δH indicate a spontaneous reaction.
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help due at 11:59 tonight
Step-by-step explanation:
\(2 - 2 \sqrt{3 \: \: \: \: } \div 3\)
Alternate form: 0.845299
400 ft 175 ft 550 ft What is the area of this trapezoid? square feet
Let's begin by listing out the information given to us:
\(b_1=400ft,h=175ft,b_2=550ft\)The area of this trapezoid
\(\begin{gathered} A=\frac{1}{2}(b_1+b_2)h \\ A=\frac{1}{2}(400+550)\cdot175=\frac{1}{2}(950)\cdot175 \\ A=83125ft^2 \end{gathered}\)PLEASE HURRYYYYYY PLEASE I HAVE NO IDEA WHAT THE ANSERW IS!!
The data set represents the number of errors on a typing test.
5 6 8 8 9 9 10 10 10 12
What is the IQR?
The interquartile range is 2
What is the Interquartile Range (IQR)?The interquartile range (IQR) measures the spread of the middle half of your data. It is the range for the middle 50% of your sample. Use the IQR to assess the variability where most of your values lie. Larger values indicate that the central portion of your data spread out further. Conversely, smaller values show that the middle values cluster more tightly.
Given here the data set 5 6 8 8 9 9 10 10 10 12
First Quartile Q1 = 8
Second Quartile Q2=9
Third Quartile Q3 = 10
Interquartile Range IQR =2
Median = Q2 (x˜) =9
Minimum Min =5
Maximum Max =12
Range R =7
Hence, The interquartile range is 2
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x+2y=0
3x+4y=4
find the solution
Answer:
(x, y) = (4, -2)
Step-by-step explanation:
The coefficient of y in the second equation is double the coefficient of y in the first. We can subtract twice the first equation from the second to eliminate y.
(3x +4) -2(x +2y) = (4) -2(0)
x = 4 . . . . . . . . . simplify
Substituting into the first equation, we have ...
4 +2y = 0
2 +y = 0 . . . . . . divide by 2
y = -2 . . . . . . . . subtract 2
The solution is (x, y) = (4, -2).
i'm the worst at math someone help
Hey there! I'm happy to help!
First of all, don't worry so much about struggling with something difficult! It's part of the human experience. Our minds are wired to be challenged but then when we push through and have faith in ourselves that's how we grow and improve!
What we are dealing with here are lines. We are being given the coordinates for one endpoint of a line and a midpoint and we want to find the other endpoint.
Let's just go one-dimensional first to make this easier to understand. Imagine that you have a number line. You draw a line going from 1 to 7. So, 1 and 7 are the two endpoints. Your midpoint is going to be halfway between those two. To find the middle of anything, you just add the two numbers and divide them by two.
1+7=8
8/2=4
So, 4 is our midpoint in this situation.
So, what if we just had our endpoint 1 and our midpoint 4? Well, we see that we go forward three spaces to get to 4. Now we are halfway! Then, we just do another three to make it to our finish line, which is 7. Or, we just take that distance and multiply it by two! This is related to our divide by two rule but just backward!
So, let's look at these problems.
------------------------------------------------------------------------------------------
A.
We have the coordinates of our line here. Our endpoint is (1,-9) and our midpoint is (4,-1). Remember what we did with our number line? We are basically going to do it with our x and y values.
So, to go from our endpoint 1 to 4 we go three spaces. If we go another 3 spaces, it will be 7. So, our x-value is 7.
With our y-values, we go from -9 to -1, so we climb 8 spaces. If we add another 8 spaces we will end up at 7, so our y-value is 7 again!
So, our other endpoint is (7,7)!
------------------------------------------------------------------------------------------
B.
To go from -2 to 9 is adding 11, so we add another 11 to 9 to give us an x-value of 20.
Going from 19 to 2 is subtracting 17, so we need to subtract another 17, which gives us a y-value of -15.
So, our endpoint is going to be (20, -15).
------------------------------------------------------------------------------------------
Have a wonderful day and keep on learning! :D
How to solve this please
The value of x, considering the proportional relationship in this problem, is given as follows:
\(x = 0.77 \times 10^{-46}\)
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The proportional relationship for this problem is given as follows:
1u - \(6.02 \times 10^{23}\)
x u - \(4.65 \times 10^{-23}\)
Applying cross multiplication, the value of x is given as follows:
\(x = \frac{4.65 \times 10^{-23}}{6.02 \times 10^{23}}\)
\(x = 0.77 \times 10^{-46}\)
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A cat casts a 32-inch shadow at the same time a nearby flower casts an 8-
inch shadow. If the flower is 3 inches tall, how tall is the cat?
Answer:
the cat is 27 inches tall
Step-by-step explanation:
the cat is 27 inches tall because when the flower cast is 8 inches but the flower itself is 3 inches you do 8-3=5 take 32-5 and you get 27inches
What is the answer to this problem? 23% of 219
Answer:
50.37
Step-by-step explanation:
Answer: 50.37
Step-by-step explanation:
A marching band sold 350 tins of popcorn for $8 each. Each tin cost the
band $4. How much money did the band make?
$ 1.400
$700
$350
$4.200
Answer:
The band made $1,400
Step-by-step explanation:
8-4=4
350*4=1,400
These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and round to the nearest tenth.
Perimeter= 20m
Area=19.6m^2
Perimeter=34m
What is the Area=
The area of the larger figure that is similar to the smaller one is: 28.2 m².
How to Find the Area of Similar Figures?Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:
Area of figure A / Area of figure B = a²/b².
Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:
Perimeter of smaller figure = 20 m
Area of smaller figure = 19.6 m²
Perimeter of larger figure = 34m
Area of larger figure = x
Therefore:
20/34 = a/b
Simplify:
10/17 = a/b.
Find the area (x) of the larger figure using the formula given above:
10²/12² = 19.6/x
100/144 = 19.6/x
100x = 2,822.4
x = 2,822.4/100
x ≈ 28.2 m²
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The Smith's built a house in 2013 for $150,000. If its value appreciates at an average rate of 6% per year, what will the value be in 2020?
Group of answer choices
Step-by-step explanation:
Principal Amount = $150,000
Rate of appreciation per year = 6%
Appreciated amount = $150,000×6/100
= 6×1500 = $9,000 per year
in 7 years(2020) , the appreciated amount becomes = $9000×7yrs
= $63,000
Thus the value in 2020 = $150,000+$63,000
= $213,000
Which function is linear?
Answer:
i do not know
Step-by-step explanation:
how about the second one? i looked it up
1.1. How many m³ = are there in 3( mile )³
1.2. How many gal/min correspond to 5ft³ /s. 1.3. Convert the following: 9.50 cm to nm/sec² (5)
Using the conversion factors, we find that 3 cubic miles is approximately equal to 1.2504543 × 10^10 cubic meters. 5 cubic feet per second is equal to 2244.156 gallons per minute. 9.50 centimeters is equal to 9.50 * 10^7 nanometers per second squared.
1.1. One mile is equal to 1609.34 meters. Since we're dealing with cubic units, we cube the conversion factor.
1 mile = 1609.34 meters
1 mile³ = (1609.34 meters)³ = 4.168181 × 10^9 cubic meters
Therefore, 3 cubic miles is equal to 3 * 4.168181 × 10^9 cubic meters, which is approximately 1.2504543 × 10^10 cubic meters.
1.2. To convert from cubic feet per second (ft³/s) to gallons per minute (gal/min), we use the appropriate conversion factors.
Here are the conversion factors:
1 cubic foot = 7.48052 gallons
1 minute = 60 seconds
So, we set up the conversion as follows:
5 ft³/s * 7.48052 gal/ft³ * 60 s/min = 2244.156 gal/min
Therefore, 5 cubic feet per second is equal to 2244.156 gallons per minute.
1.3. To convert centimeters (cm) to nanometers per second squared (nm/sec²), we use the appropriate conversion factors. Here are the conversion factors:
1 centimeter = 10^7 nanometers
1 second = 1 second
So, we set up the conversion as follows:
9.50 cm * (10^7 nm/cm) / (1 sec)² = 9.50 * 10^7 nm/sec²
Therefore, 9.50 centimeters is equal to 9.50 * 10^7 nanometers per second squared.
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