Answer:
450 cm
Step-by-step explanation:
25 on both sides 2x25
4 squares = 25x4
4 sides for 4 squares = 100x4
400+50
Answer: C
Step-by-step explanation:
A bowl contained 59.16 grams of salt. Then, Omar poured in another 13.2 grams. How much salt does the bowl contain now?
Answer: 72.36
Step-by-step explanation:
To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.
The initial amount of salt in the bowl was 59.16 grams.
Omar added 13.2 grams of salt to the bowl.
To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36
Therefore, the bowl contains 72.36 grams of salt now.
Identify a pattern in each list of numbers. Then use this pattern to find the next number.
3, -10, 16, -36, 68, ___
Answer:
-140
Step-by-step explanation:
a₀ = 3
a₁ = 3 - 13*1 = -10
a₂ = -10 + 13*2 = 16
a₃ = 16 - 13*4 = -36
a₄ = -36 + 13*8 = 68
a₅ = 68 - 13*16 = -140
* a₀=3 n is integers and n ≥ 1
aₙ = aₙ₋₁ + (-1)ⁿ * 13 * (2)ⁿ⁻¹
The next term in the sequence is -140.
The given number sequence is 3, -10, 16, -36, 68, ___.
We need to identify the pattern of the given sequence and find the next number in the sequence.
What is the sequence?A sequence is a collection of elements that are arranged according to a specific pattern whereas a series is the sum of a few or all elements of the sequence.
Now, first term a₀ = 3
The pattern here is to get the next term, subtract the second term by 13 and add the third term by 26 (multiples of 13).
That is,
a₁ = 3 - 13*1 = -10
a₂ = -10 + 13*2 = 16
a₃ = 16 - 13*4 = -36
a₄ = -36 + 13*8 = 68
a₅ = 68 - 13*16 = -140
Therefore, the next term in the sequence is -140.
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what is the length of segment ns
Given that x is equal to 1 and S is the centroid of the triangle NLQ, NS will have a length of 4 units.
What is centroid?The centroid of a flat figure or solid figure, also known as the geometric center or center of figure, in mathematics and physics, is the arithmetic mean position of all the points on the figure's surface. Any n-dimensional Euclidean object is included by the same definition. The centroid of a triangle is the location where the triangle's three medians connect. It may alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.
Here,
We may infer from the centroid's features that it divides each median in a ratio of 2:1.
NS=2SR
7x-3=2(5x-3)
7x-3=10x-6
3x=3
x=1
NS=7x-3
=7*1-3
=4 units
The length of NS will be 4 units as the value of x is 1 and S is the centroid of triangle NLQ.
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commutative property of (32)-5+7?
Answer:
= 34
Step-by-step explanation:
(32)-5+7
32 - 5 + 7
= 32 + 2
= 34.
Mrs. O'Dell has 8 different
vegetables to plant in her
garden. She wants to divide
her garden into 8 squares. Each
square should be the same size.
Help Mrs. O'Dell divide her
garden into 8 squares. What is
the measurement of each side
of the squares?
The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.
How to divide the total area into 8 squares which are the same size?To begin, let's identify the best way to divide the total area. For this, there are 2 options:
Create two rows each with 4 squares = 4 x 2 = 8Create four rows each with 2 squares = 2 x 4 8=Let's use the first pattern:
Length: 3 meters / 4 = 0.75meters or 75 centimetersWidth= 2 meters / 2 = 1 meter or 100 centimetersBased on this, the dimensions for each section should be 75 centimeters by 100 centimeters.
Note: This question is incomplete; here is the missing section:
Dimensions of the garden: 3 meters x 2 meters
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A rectangular prism measures 3 ft by 6 ft by 5 ft. If the dimensions of the box were all quadrupled, how would the surface area of the box change?
1.The new surface area would be 16 times the original surface area.
2.The new surface area would be quadruple the original surface area.
3.The surface area would not change.
4.The new surface area would be 12 times the original surface area.
To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.
The original surface area of the rectangular prism is given by:
SA_original = 2lw + 2lh + 2wh
where l, w, and h represent the length, width, and height of the prism, respectively.
In this case, the dimensions of the original box are:
Length (l) = 3 ft
Width (w) = 6 ft
Height (h) = 5 ft
Substituting these values into the formula, we have:
SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)
= 36 + 30 + 60
= 126 square feet
Now, if we quadruple all the dimensions of the box, the new dimensions would be:
Length (l_new) = 4(3) = 12 ft
Width (w_new) = 4(6) = 24 ft
Height (h_new) = 4(5) = 20 ft
The new surface area of the enlarged box is given by:
SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)
= 2(12)(24) + 2(12)(20) + 2(24)(20)
= 576 + 480 + 960
= 2016 square feet
Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.
Therefore, the correct answer is:
1. The new surface area would be 16 times the original surface area.
Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
Matt and his brother will each work 13 hours this week for their dad. If Matt earns $14.00 an hour and his brother earns $17.00 an hour, how much will Matt earn by the end of the week? *
Answer:
$182.00
Step-by-step explanation:
We know that Matt will work for 13 hours, and that he will earn 14.00 an hour. We are asked how much Matt will earn by the end of the week. Because Matt's earnings are not based on his brother's earnings, we can disregard how much his brother makes.
We add 14.00 13 times, as Matt earns 14 dollars for each hour and he works for 13 dollars. This is equal to multiplying 14 by 13, resulting in 14 * 13 = 182 as our answer
Not a test or quiz
Divide the following numbers in scientific notation and express the result in scientific notation.
The expression of (9 * 10⁶)(8 * 10⁸) in scientific notation is; 72 * 10¹⁴
How to express a number in scientific notation?Scientific notation is defined as a way of writing very large or very small numbers. A number is usually written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 750,000,000 can be written in scientific notation as 7.5 * 10⁸.
We want to multiply the expression given as;
(9 * 10⁶)(8 * 10⁸)
Now, we can rewrite this as;
(9 * 8) * (10⁶ * 10⁸)
According to laws of exponents, x² × x³ = x²⁺³
Thus;
(9 * 8) * (10⁶ * 10⁸) = 72 * 10⁶⁺⁸
= 72 * 10¹⁴
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Define associative property
Answer:
the way in which factors are grouped in a multiplication problem does not change the product.
Step-by-step explanation:
1. Which is larger 7.2 x 10 -4 or 0072? 7.2 x 10^4
Answer:
7.2 is larger than 72×10-4 and this is also larger than 00.72
Hugo bought a pair of boots on sale for$52 The original price was $65 what percent was the discount
Answer:
20%
Step-by-step explanation:
\(\frac{52}{65}\)×100=80
100-80=20
Use the quadratic formula to find the exact solutions of 3x2 − 6x + 2 = 0.
a. negative 1 plus or minus the square root of 3 divided by 3
b. 1 plus or minus the square root of 3 divided by 3
c. negative 1 plus or minus the square root of 15 divided by 3
d. 1 plus or minus the square root of 15 divided by 3
The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by
3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.
To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:
x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))
x = (6 ± √(36 - 24)) / 6
x = (6 ± √12) / 6
x = (6 ± 2√3) / 6
x = (3 ± √3) / 3
Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)
So, option a is the correct answer.
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2(2x - 4) = 3(x + 4)
Answer:
24
Step-by-step explanation:
i dont know if its correct
I need expert answers for this
The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.
How to prove Trigonometric Identities?We want to verify the trigonometric identity;
cos (α - β)/(cos α sin β) = cot β + tan α
Now, according to trigonometric identities in mathematics, we know that;
cos (α - β) = (cos α cos β) + (sin α sin β)
Thus, plugging that back into our left hand side of the main question gives;
[(cos α cos β) + (sin α sin β)]/(cos α sin β)
Rewriting this expression by separating the denominator gives;
[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)
Using quotient identities, this can be simplified to;
cot β + tan α
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PLEASEE HELP ITS DUE TODAY
Answer:
43.44 for the first one
16 cats from the second one
496 for the third one
Step-by-step explanation:
Answer:
a. 43.44
b. 16
c. 496
Step-by-step explanation:
a. (14.48) x 3= 43.44
b. 25% of 64= 16
c. 31 x 16= 496
Which functions graph has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed
Answer: y= -4cos (pi/4x)-3
Step-by-step explanation:
The functions graph that has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed is; y = -4cos(¹/₄πx) - 3
What is the equation of the graph?
The general equation of this is;
y = A cos bx
We are told that the period of the graph is 8
We know that 2π/b = period
Thus;
2π/b = 8
b = ¹/₄π
We are told that the maximum height is 1 if at least one full period is graphed. Thus, amplitude = 4
Thus the required equation is y = -4cos(¹/₄πx) - 3
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can you hlep me for 10000000000000000000000000000000000000x1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111(1222222222222222222222222222222222222222222222222222222222222222)=
there is no way thats a real question the answer is "a number"
thanks for the points
Answer:
1.358025e+193
Step-by-step explanation:
99 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.
We know that, to find volume:
Volume = π * \(r^2\) * h
For the smaller stockpot:
Radius (r) = 2.5 inches
Height (h) = 10 inches
Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches
For the larger stockpot:
Radius (r) = 2.5 inches
Height (h) = 16 inches
Volume = π * (2.5)² * 16
≈ 628.32 cubic inches
Thus, the volume of larger one is 628.32 cubic inches.
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test due tomorrow pls helpp!!
Regina has three number cubes. The faces of each number cube are numbered from 1 to 6. Regina will roll each number cube one time.
What is the probability that all three number cubes will land on an odd number?
The probability that all three number cubes will land on an odd number is 1/8
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Number of cubes = 3
Sections on each cube = 6
Odd sections on each cube = 3
This means that
P(Odd) = Odd sections/Total sections
So, we have the following representation
P(Odd) = 3/6
Simplify
P(Odd) = 1/2
For the three cubes, we have
P(All odd) = P(Odd)^Number of cubes
Substitute the known values in the above equation, so, we have the following representation
P(All odd) = (1/2)³
Evaluate
P(All odd) = 1/8
Hence, the probability is 1/8
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Answer: 1/8
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\Look at the two equations:
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
In both cases, divide by –3 on both sides, but reverse the inequality sign when doing that for the inequality.
The process is exactly the same for solving the equation and solving the inequality.
The process for solving the equation is entirely different from solving the inequality.
The statement "In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality" best describes the process used to solve the equations.
In the equation -3x + 6 = 21, to isolate the variable x, we subtract 6 from both sides of the equation, which yields -3x = 15. Then, we divide both sides by -3 to solve for x, resulting in x = -5. This process is applicable to equations where we aim to find the exact value of the variable.
Similarly, in the inequality -3x + 6 < 21, we want to find the range of values for x that satisfy the inequality. By subtracting 6 from both sides, we obtain -3x < 15.
However, since we performed the same operation on both sides of the inequality, the direction of the inequality sign remains the same.
Thus, the correct inequality is -3x < 15. To isolate x, we divide both sides by -3. However, since we reversed the inequality sign, we must also reverse it again, resulting in x > -5.
This process allows us to determine the range of values for x that satisfy the inequality.
Therefore, the statement accurately describes the process for solving both the equation and the inequality, highlighting the significance of reversing the inequality sign when manipulating inequalities.
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A department store is having a holiday sale. Mr. Smith bought a couch
that had a regular price of $500. He received a $150 discount. What was
the percentage of the discount that Mr. Smith received?
Answer:
Step-by-step explanation:
500×30=15000
How do you solve this??
21 a(little 6) b(little 5)
————————————
7 a(little 3) b
\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
To solve this problemWe can use the rules of exponents and simplify the terms with the same base.
Dividing the coefficients: 21 / 7 = 3.
For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)
Similarly,\(b^5 / b = b^(5-1) = b^4\).
Putting it all together, the simplified expression is:
\(3a^3b^4.\)
Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
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A company makes about 2.5 × 1 0 7 2.5×10 7 tablets in a year. The company spends about $20 to make each tablet. About how much money, in dollars, does the company spend making tablets each year?
The company spends making tablets each year, you can multiply the number of tablets by the cost per tablet so the company spends about $500 million making tablets each year.
Why is it referred to as money?Its origins lie in the Latin word moneta, which was given to the Roman goddess Juno, at whose temple or close by, or both, the Romans first started minting coins approximately 300 BCE.
We may multiply the quantity of tablets produced by the cost of producing each tablet to see how much money the company spends annually making tablets:
Total cost = Production of tablets x Price per tablet
Number of tablets produced =\(2.5 × 10^7\)
Cost per tablet = $20
Therefore, the total cost = \(2.5 × 10^7 × $20 = $5 × 10^8\)
As a result, the corporation spends over $500 million annually producing tablets.
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Solve for x.
OA. 9
OB. 1
OC. 4
OD.7
The value of x in the secant intersection is 4.
How to find the length in a secant?If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.
Therefore, let's find the value of x using the secant intersection theorem as follows;
4(4+x + 2) = 5(5 + x - 1)
4(6 + x) = 5(4 + x)
24 + 4x = 20 + 5x
24 - 20 = 5x - 4x
x = 4
Therefore,
x = 4
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initial value of y=0.75x -2
To calculate the initial value of the equation we have to equal it when x = 0
\(\begin{gathered} y=0.75x-2 \\ y=0.75(0)-2 \\ y=-2 \end{gathered}\)The value for x =0 would be y = -2
on a piece of paper graph this system of equations yx 2 yx2 6x8
This is a quadratic function's graph. This is easily graphed using transformations if we write it in vertex form.
Y=x-2 is the first equation.
This line has a slope of 1 and a y-intercept of -2, making it simple to graph.
The second formula reads: y = x^2-6x+8.
To obtain the function in the vertex form, we finish the square as follows:
Y = x^2 -6x+9+8-9
Y = (x-3)^3 -1
The minimum point (vertex) of this quadratic graph is located at (3,-1).
We equalize the two functions and solve for x to locate the intersection of the two graphs.
X^2-6x+8 = x-2
We rewrite in formal language.
X^2-7x+10=0
Factor to consider (x-2)
(x-5) = 0
The answers are x=2 and x=5.
If x=2, then y=2-2=0.
As a result, the point of intersection is (2, 0).
If x=5, then y=5-2=3.
As a result, we now have another intersection at (5,3).
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Don't drink and drive: A highway safety council reported that there were 3972 fatalities among drivers in auto accidents in a particular year. Following is a frequency distribution of their ages. Approximate the mean age. Round your answer to one decimal place. Age Number of Fatalities 11-20 340 21-30 1527 31-40 866 41-50 693 51-60 423 61-70 123 Send data to Excel The mean is approximately .
Answer:
\(\bar x = 34.7\)
Step-by-step explanation:
Given
\(\begin{array}{cc}{Age} & {Fatalities} & {11 - 20} & {340} & {21-30} & {1527} & {31-40} & {866} & {41-50} & {693} & {51-60} & {423} & {61-70} & {123} \ \end{array}\)
Required
Calculate the mean
The given data is a grouped data. So, we need to calculate the class mid -point first.
This is done by calculating the average of the class intervals.
So, we have:
\(\begin{array}{ccc}{Age} & {Fatalities} & {x} & {11 - 20} & {340} & {15.5} & {21-30} & {1527} &{25.5}& {31-40} & {866} & {35.5} & {41-50} & {693} & {45.5} & {51-60} & {423} & {55.5} & {61-70} & {123} & {65.5}\ \end{array}\)
For 11 - 20, the midpoint is: \(x =\frac{1}{2}(11+20) = \frac{1}{2}*31=15.5\)
For 21 - 30, the midpoint is: \(x =\frac{1}{2}(21+30) = \frac{1}{2}*51=25.5\)
.....
For 61 - 70, the midpoint is: \(x =\frac{1}{2}(61+70) = \frac{1}{2}*131=65.5\)
The mean is then calculated as:
\(\bar x = \frac{\sum fx}{\sum f}\)
\(\bar x = \frac{(15.5 * 340) + (25.5 * 1527) + (35.5 * 866) + (45.5 * 693) + (55.5 * 423) + (65.5 * 123)}{340 + 1527 + 866 + 693 + 423 + 123}\)
\(\bar x = \frac{138016}{3972}\)
\(\bar x = 34.7472306143\)
\(\bar x = 34.7\) --- approximated
The mean is approximately 34.7
It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. If you know that a student's grade is greater than 72, what is the probability that it is greater than 84
Answer: 0.4337
Step-by-step explanation:
Let X represents the test results for a class that follow a normal distribution .
Given: Mean \(\mu=78\), Standard deviation \(\sigma=36\)
Then, the probability that it is greater than 84 will be
\(P(X>84)=P(\dfrac{X-\mu}{\sigma}>\dfrac{84-78}{36})\\\\=P(Z>0.167)\ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<0.167)\\\\=1-0.5663=0.4337\ [\text{By p-value table}]\)
Hence, the required probability = 0.4337