Answer:
B
Step-by-step explanation:
A shirt requires 3/4 of a yard of material. How many shirts can be made from 18 yards of material?
Answer:
24
Step-by-step explanation:
18/ 3/4=24
Multiply (2.0 ⋅ 10−4) ⋅ (3.1 ⋅ 10−20). Express the answer in scientific notation. 6.2 ⋅ 10−80 6.2 ⋅ 10−24 6.2 ⋅ 1024 6.2 ⋅ 1080
Answer:
6.2* 10 ^-24
Step-by-step explanation:
(2.0 ⋅ 10−4) ⋅ (3.1 ⋅ 10−20)
Multiply the numbers
2.0 * 3.1 =6.2
Add the exponents
10 ^-4 * 10 ^-20 = 10 ^( -4+-20) = 10 ^ -24
Put back together
6.2* 10 ^-24
The number is in scientific notation since there is one nonzero digit in front of the decimal
Answer:
B, now give the other person brainlist
Are the experimental probabilities after 300 trials closer to the theoretical probabilities?
After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.
To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.
Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.
Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.
Experimental probability of heads: 160/300 = 0.5333
Experimental probability of tails: 140/300 = 0.4667
Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.
In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.
To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.
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The question probable may be:
Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.
Mrs alvares rents skis and poles for 3 days what is the total cost of rental
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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Please help me with this , I hope it's easier.
Hi! I hope you're enjoying your day!
Let's add the following polynomials.
How to add them? Just combine like terms. :)
\(\bold{2x^2-10x+1 ~and~x^2+15x-8}\)
\(\bold{2x^2+x^2-10x+15x+1-8}\)
Hence, the answer is
\(\boxed{\boxed{\bold{3x^2+5x-7}}}\)
\(\rule{250}{2}\)
\(\bold{2x^3-3x^2+5\;and\;5x^2-3x^3+7}}}\\\)
Combine Like terms:
\(\bold{2x^3-3x^3-3x^2+5x^2+5+7}\)
Hence, the answer is
\(\boxed{\boxed{\bold{-x^3+2x^2+12}}}\)
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
quadrilateral below parallelogram
We have that the diagonals of a parallelogram cut in halfs all the angles. Then, in this case:
because both angles of the sides of the diagonal may be equal.
Then
m∠DEC = 71º
m∠DFE = 21º
Since the opposite angles of the parallelogram are equal too, we have:
And then,
m∠ECD = 71º
Since
71º + 71º = 142º
and
21º + 21º = 42º
then
m∠CDE = 42º
Answers
Then, the answers are:
m∠DEC = 71º
m∠CDE = 42º
m∠ECD = 71º
m∠DFE = 21º
Case 2If we consider that
m∠FED = 134º
then, we have that
Suppose there is a 1.1 degree drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature o the ground is 59.7 degrees F, what will be the temperature at an altitude of 11,000 ft?
The temperature at an altitude of 11,000 ft is found to be 47.6 Degree Fahrenheit.
What is defined as the temperature?Temperature is a measure of how hot or cold something is demonstrated in terms of one of several scales, such as Fahrenheit and Celsius. Temperature signifies the direction wherein heat energy will instantaneously flow—that is, from a hotter (higher) body to a colder body (at a lower temperature).The plane is at ground level, with a temperature of 59.7 degrees Fahrenheit. The temperature drops by 1.1 degrees Fahrenheit for every 1,000 feet.
Initial Temp = 59.7 Fahrenheit
Distance Covered = 11,000 Ft
As the plane stands there, the ground level is zero feet.
Later, it soars into the sky at 11,000 feet.
= 11×1,000
Temperature drops by 1.1 degrees Fahrenheit for every 1,000.
As a result, at 11,000 feet, the temperature will drop 11 times,
= 11×1.1
or 12.1 degrees.
Therefore, at 11,000 feet, the temperature will be Fahrenheit,
= 59.7 - 12.1
= 47.6 degree Fahrenheit
Thus, the temperature at an altitude of 11,000 ft is computed as 47.6 degree Fahrenheit.
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Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Isabel bought some books for $6 each and received a discount of $8 off of her total purchase. She spent $58 after the discount. How many books did she buy?
Answer:
She bought 11 books.
Step-by-step explanation:
If she spent $58 after the discount, then you can add 8+58 to see what the price would have been. 8+58=66. Then you divide 66 by 6 because each book costs $6. 66/6 = 11
rewrite 100 as a base and exponent without using an exponent of 1
Answer:
10^2
Step-by-step explanation:
A rectangular garden is 4½ yards by 3 yards. How many yards of fence are needed to surround the garden?
Answer:
15 yards
Step-by-step explanation:
the length of fencing required for the rectangular garden is
2( 4 \(\frac{1}{2}\) + 3)
= 2 × 7 \(\frac{1}{2}\)
= 15 yards
(x+4)(x^2-5x+3) multiply the polynomials
9514 1404 393
Answer:
x^3 -x^2 -17x +12
Step-by-step explanation:
Use the distributive property and collect terms.
(x +4)(x^2 -5x +3) = x(x^2 -5x +3) +4(x^2 -5x +3)
= x^3 -5x^2 +3x +4x^2 -20x +12
= x^3 -x^2 -17x +12
How would you classify the number 121?
A. Perfect square
B. Perfect cube
C. Both a perfect square and a perfect cube
D. Neither a perfect square nor a perfect cube
A . Perfect square
Step-by-step explanation:
This is your answer
Hope this helps you :)
Answer: B- Perfect cube
Step-by-step explanation: I am smort
Find the distance between the points (2,6) and (
–
10,
–
10)
Answer:
d = 20
Step-by-step explanation:
The distance formula is
\(d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
If we plug in the coordinates, we have:
\(d=\sqrt{(-10-2)^2+(-10-6)^2} \\d=\sqrt{(-12)^2+(-16)^2}\\ d=\sqrt{144+256}\\ d=\sqrt{400}=20\)
HELP ASAP PLEASE
What’s the answer
Answer:
Step-by-step explanation:
function 2
Please help solve the problem: (x+7)^2-7=25
Answer:
x=−7+4√2 or x=−7−4√2
Step-by-step explanation:
x^2+14x+42=25
x^2+14x+42−25=25−25
x^2+14x+17=0
For this equation: a=1, b=14, c=17
1x^2+14x+17=0
Step 3: Use quadratic formula with a=1, b=14, c=17.
x=
−b±√b2−4ac
2a
x=
−(14)±√(14)2−4(1)(17)
2(1)
x=
−14±√128
2
x=−7+4√2 or x=−7−4√2
pls give brainliest :))
Answer:
x = -7 ±4sqrt(2)
Step-by-step explanation:
(x+7)^2-7=25
Add 7 to each side
(x+7)^2-7+7=25+7
(x+7)^2=32
Take the square root of each side
sqrt((x+7)^2)=±sqrt(32)
x+7=±sqrt(32)
Subtract 7 from each side
x+7-7 = -7 ±sqrt(32)
x = -7 ±sqrt(32)
We can simplify the sqrt (32)
x = -7 ±sqrt(16*2)
x = -7 ±4sqrt(2)
A map uses a scale of 1
cm = 5½ miles. In actual
distance, the entrances to
two parks are 24 miles
apart. How far apart are
they on the map?
Answer:
3.36 cm
Step-by-step explanation:
24 - 5 1/2 = 18.5
To find the distance on the map, we can set up a proportion:
1 cm / 5.5 miles = x cm / 18.5 miles
5.5 times 37/11 equals to 18.5; 1 times 37/11 is approximately equals to 3.36 cm (rounded to the nearest hundredths).
True or False: As the value of cos(x) approaches 1 and the value of sin(x) approaches 0, the value of tan(x) approaches infinity
Answer: False
Step-by-step explanation:
We can write tan(x) = sin(x)/cos(x)
if cos(x) tends to 1, and sin (x) tends to 0 (this happens aronund the point x = 0)
then we have:
Tan(x) = 0/1 = 0
Then the statement is false, as cos(x) approaches 1 and sin(x) approaches 0, tan(x) also approaches 0.
9x7/9-6+13 order of Operations
((9×7)÷9−6)+13
(63÷9−6)+13
(7−6)+13
1+13
14
Answer:
9 X 7 / 9 - 6 + 13
we can cut 9
=7-6 + 13
=1+13
=14
The area of a rectangle is 125 square yards. If the perimeter is 60 yards, find the length and width of the rectangle.
Answer:
25 yards long, 5 yards wide
Step-by-step explanation:
The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.
SetupThe length and width can be represented by x and y. The formulas for area and perimeter give two equations relating these two variables:
A = LW ⇒ 125 = xy
P = 2(L+W) ⇒ 60 = 2(x +y)
Using the second equation to write an expression for y, we have ...
y = 30 -x
Substituting into the first equation gives ...
125 = x(30 -x)
SolutionThis suggests we can find x by looking for factors of 125 that total 30.
125 = 1(125) = 5(25)
Factor totals are 126 and 30. This means we have ...
x = 5, y = 30-5 = 25
or
x = 25, y = 30 -25 = 5
The rectangle dimensions are 5 yards by 25 yards.
__
Additional comment
The two equations can also be solved graphically, as in the attachment.
The rectangle will be 25 yards long, and 5 yards wide.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
The given parameters can be used with the area and perimeter formulas for a rectangle to form an equation that can be solved for the dimensions.
The length and width can be represented by x and y. The formulas for area and perimeter give two equations relating to these two variables:
A = LW ⇒ 125 = xy
P = 2(L+W) ⇒ 60 = 2(x +y)
Using the second equation to write an expression for y, we have ...
y = 30 -x
Substituting into the first equation gives ...
125 = x(30 -x)
This suggests we can find x by looking for factors of 125 that total 30.
125 = 1(125) = 5(25)
Factor totals are 126 and 30. This means we have.
x = 5, y = 30-5 = 25
x = 25, y = 30 -25 = 5
Therefore, the rectangle will be 25 yards long, and 5 yards wide.
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The area of a rectangle is 1260 square inches. Its length is 36 inches.
Find the width
Which statement is true for log3(x+1)= 2?
Answer:
og₃ (x+1) = 3
It could be written:
(x+1)= 3³==> x+1 = 27 ==> x =27-1 =26
Step-by-step explanation:
I really hope this helps
i’ll mark brainlest! pls helppp! :(
Answer:
\(y = - \frac{1}{5} x\)
Step-by-step explanation:
When two line is parallel, they share the same gradient.
From the line equation given,
\(y = - \frac{1}{5} x - 1\)
We know the gradient (m) is
\( - \frac{1}{5} \)
So the other line will also share the same gradient.
By using the point-slope form: y-y₁=m(x-x₁)
Substitute (-5, 1) and m= - 1/5 into x₁, y₁ and m respectively.
\(y - 1 = - \frac{1}{5} (x + 5)\)
\(y - 1 = - \frac{1}{5} x - 1\)
\(y = - \frac{1}{5} x\)
A Union worker is to see an increase in pay of 2.5% per year next year. Her salary is $41,000/yr. If inflation was predicted to be 1.9% for the upcoming year, how much more purchasing power would she have in dollars next year?
Answer:
i need points rq thanks so much
Step-by-step explanation:
imma go waste these points now
She'll have $246 more purchasing power.
Current salary per year = $41000
Next year salary = $41000 × (2.5% × $41000)
= $41000 + (0.025 × $41000)
= $41000 + $1025
= $42025
Effect of Inflation will be:
= $41000 + (1.9% × $41000)
= $41000 + (0.019 × $41000)
= $41000 + $779
= $41779
Therefore, the difference will be:
= $42025 - $41779
= $246
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Find the solution of this system of equations
-2y = 48 + 6x
-6x + 9y = -84
Step-by-step explanation:
can u help me In one question
What is the value of x? 63, 42, 50
Answer:
Step-by-step explanation:
Look back at the plans these students used to solve the word problem below.
Who found a correct solution?
- STEP 4: LOOK BACK
According to soap box derby rules, a racer must weigh 250
pounds or less. The Math Club's car weighed in at 266
pounds on the day of the derby. How many pounds did the
Math Club need to remove from their soap box racer?
Dana added the weight limit to the Hector subtracted the weight limit
racer's weight. Since
from the racer's weight. Since
250 +266 = 516, the Math Club 266 - 250 = 16, the Math Club
needed to remove 516 pounds from needed to remove 16 pounds
the racer
from the racer
O A. Dana
B. Hector
After working through the suggested questions,Zanele realises that the questionnaire is not suitable.List two reasons why you that the given questionnaire is Not suitable
Below are some general reasons why a questionnaire might not be suitable:
Poorly constructed questionsLaslty Inadequate samplingWhat is the questionnaire about?Poorly constructed questions: If the questions in the questionnaire are not clear, ambiguous, leading, or biased, then the responses obtained may not be accurate or reliable. Poorly constructed questions may also lead to confusion, misunderstandings, and errors.
Lastly Inadequate sampling: If the sampling technique used to select respondents is not representative of the target population, then the results obtained may not be generalizable or applicable to the larger population. The sample size and composition may also affect the validity and reliability of the results.
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What number makes the expressions equivalent? Enter your answer in the box.
12 (–1.4m + 0.4) =
m + 0.2
The number makes the expression equivalent is m = 0.2584.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 12(- 1.4m + 0.4) = m + 0.2.
- 16.8m + 4.8 = m + 0.2.
- 16.8m - m = 0.2 - 4.8
- 17.8m = - 4.6.
m = (-4.6/-17.8).
m = 0.2584.
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