Answer:
Step-by-step explanation:
The solution is, The area of Rhombus B is 9 times bigger than the area of Rhombus A. The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
Rhombus A:
Area = 35 square inches
base = 7 inches
height = 5 inches
Rhombus B:
Area = 315 square inches
base = 21 inches (7 x 3)
height = 15 inches (5 x 3)
A = 21 x 15
so, we get,
The area of Rhombus B is 9 times bigger than the area of Rhombus A. The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.
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complete question:
Rhombus A has base of 7 inches and an area of 35 square inches. Rhombus B has a Base and Height that are three times the base and height of Rhombus A. Find the area of Rhombus b and compare it to the area of rhombus A Explain
PLEASE HELP ME DONT ANSWER IF YB
(Surface Area of Cylinders MC)
A makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap. Each lipstick has a radius of 0.4 inch and a height of 2.2 inches. How many total square inches of gift wrap will the makeup artist need to wrap 5 lipsticks? Leave the answer in terms of π.
10.4π square inches
4.8π square inches
2.08π square inches
1.76π square inches
Answer:
A would be correct
Step-by-step explanation:
the answer is A.
A wise man once said, “400 reduced by 3 times my age is 163.” What is his age? ( I need the step by step equation to solve this)
Answer: the wise man is 79
Step-by-step explanation:
400 - 3x = 163
400–163 =3x
237 = 3x or 3x = 237 or x = 79…
The director of surgery at a local hospital is interested in understanding his unit’s costs. An assistant collected data for the past 36 months on unit cost (labor, supplies, and so on) along with the number of procedures performed in the unit. The assistant analyzed the data using a spreadsheet program, and the following output was generated.
Equation
Intercept $ 1,003,000
Coefficient on procedures $ 215
Statistical data
Correlation coefficient 0.503
R2 0.253
The unit is planning to perform an average 17,000 procedures per month for the coming year.
To make informed decisions about budget allocation and cost management, the director should consider this relationship between the number of procedures and unit cost.
The director of surgery at a local hospital aims to understand the unit's costs by analyzing data from the past 36 months, including unit cost (labor, supplies, etc.) and the number of procedures performed.
The assistant used a spreadsheet program to analyze this data and obtained an R2 value of 0.253.
This indicates that 25.3% of the variation in unit cost can be explained by the number of procedures performed. The unit plans to perform an average of 17,000 procedures per month in the upcoming year.
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6 2/3÷1/5 Express your answer as a mixed number in simplest form. Enter your answer in the box.
Answer:
33 1/3
Step-by-step explanation:
1. First, you want to make 6 into a fraction with a bottom/denominator of 3 to make adding 6 and 2/3 easier. So, to make 6 into a fraction with a denominator of 3 , you multiply 6 by 3 to get 18. The 18 is the numerator (top of the fraction) and 3 is the denominator (the bottom). So now you have 18/3+2/3 divided by 1/5.
2. Now, add the 18/3 and the 2/3 to get 20/3 divided by 1/5.
3. After this, you want to divide. To divide fractions, you use Keep, Change, Flip (KCF). To do this, keep the 20/3 the same, change the division sign to multiplication, and flip the 1/5 to 5/1. So, now you have 20/3 multiplied by 5/1.
4. Simplify this by multiplying 20 by 5 and 3 by 1 to get 100/3.
5. Now we have to create 100/3 into a mixed number. To do this, we know that 33 multiplied by 3 is 99, which is as close as we can get to 100 without going over. This means that we can make 100/3 into 33 and 1/3.
Hope this helps! :) If you could give me Brainliest that would be super helpful!
The mixed fraction is 33 1/3.
What is mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction.
Given:
6 2/3÷1/5
On further solving the given expression
=20/3 ÷1/5
Now, division of fraction is not possible
so,
=20/3 * 5/1
=100/3
=33 /13
Hence, the mixed fraction is 33 1/3.
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f(x,y,z)=xyz'+xy'z+xy'z'+x'yz+x'y'z.
Venessa bought 80 apples for 4$.out of these apples 25 precent were rotten and had to be thrown away Vanessa sold the remaining apples at 6 cents per apple. What is the profit or loss percentage
The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.
Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.
Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.
Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.
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Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly. They get 27 cm, 35 cm, 32 cm, respectively. Find the perimeter of the triangle, in cm. What is the most efficient strategy you can find to solve this problem?
Answer:
47 cm.
Step-by-step explanation:
Alex, Bruno, and Charles each add the lengths of two sides of the same triangle correctly.
They get 27 cm, 35 cm, and 32 cm, respectively. Find the perimeter of the triangle, in cm
find:
Find the perimeter of the triangle, in cm. What is the most efficient strategy you can find to solve this problem?
solution:
27, 35, and 32 are each the sum of a different pair of sides of the triangle
Then 27 + 35 + 32 is the sum of all three sides, each counted twice.
Thus, 27 + 35 + 32 = 94 is twice the perimeter
therefore,
the perimeter of the triangle is 94/2 = 47 cm.
Step-by-step explanation:
since the sides r of 2 triangles
actually perimeter = ans/ 2
perimeter of a triangle = sum of all sides/2
27+35+32/2 =94/ 2 = 47 ans
hoep.it helps
plz mark as brainliest
A) 2x + 2y = 10
B) 12 + 4y= -4y
Slope Intercept Equation?
Para, Perp. or Neither?
Use both equations convert into slop intercept and see if there parallel or perpendicular or neither
this is for B.) and I'm going to do a right quick
Solve for θ if −10sinθ−8=5√3−8 and 0≤θ<2π.
The value of variable θ would be,
⇒ θ = 5π/3 and θ = 4π/3
We have to given that;
Expression is,
⇒ - 10sin θ - 8 = 5√3 - 8
Now, We can simplify as;
⇒ - 10sin θ - 8 = 5√3 - 8
⇒ - 10sin θ = 5√3
⇒ sin θ = - 5√3/10
⇒ sin θ = - √3/2
We know that sinθ = -√3/2 when θ = 4π/3 and θ = 5π/3 (among other angles).
However, since 0 ≤ θ < 2π, only the angles in the second and third quadrants are valid solutions for sinθ = -√3/2.
Therefore, the solutions are θ = 5π/3 and θ = 4π/3, option D is correct.
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The standard deviation for a set of data is 9.5. The mean is 205.
What is the margin of error?
If the standard deviation for a set of data is 9.5. The margin of error is: 19.5.
Margin of errorUsing this formula
Margin of error=Standard deviation×Mean
Let plug in the formula
Margin of error=205 × 9.5%
Margin of error = 19.475
Margin of error = 19.5 (Approximately)
Therefore If the standard deviation for a set of data is 9.5. The margin of error is: 19.5.
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I will give brainlest
Write 25.6:46.4 as a whole number ratio in it's simplest from.
Answer:
26:46
26 to 46
26/46
Step-by-step explanation:
An article presents benzene conversions (in mole percent) for 24 different benzene hydroxylation reactions. The results are 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4 Can you conclude that the mean conversion is greater than 30? Compute the appropriate test statistic and find the P-value. The appropriate test statistic and the P-value are and , respectively. Round the test statistic to two decimal places and the P-value to four decimal places. We (Click to select) conclude that the mean conversion is greater than 30.]
Answer:
Test statistic = 3.21;
Pvalue = 0.0019;
Reject H0 and conclude that the mean conversion rate is greater than 30.
Step-by-step explanation:
Hypothesis :
NULL ; H0 : μ = 30
ALTERNATIVE ; H0 : μ > 30
Sample, x : 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4
Sample Mean, xbar = 43.71 (using calculator)
Sample standard deviation, s = 20.95 ( calculator)
Sample size, n = 24
Take, α = 0.05
Test statistic :
(xbar - μ) ÷ (s/√n)
(43.71 - 30) ÷ (20.95/√24)
13.71 / 4.2764008
Test statistic = 3.21
Degree of freedom, df = n - 1 = 24 - 1 = 23
The Pvalue, using a Pvalue calculator : (3.21, 23)
Pvalue = 0.001942
Pvalue = 0.0019 ( 4 decimal places).
Decison :
Reject H0 ; if Pvalue ≤ α
Since Pvalue is very low and lesser than α ` We reject H0 and conclude that the mean conversion rate is greater than 30.
Pls help!
Whoever answers in a few minutes with a clear answer will be marked brainiest!!!
Use exponent laws to write each expression with a positive power
Answer:
a. \(\tt \frac{1}{9}\)
b. \(\frac{1}{16}\)
c. 4
Step-by-step explanation:
\(\tt a. \:3^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:
\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)
\(\hrulefill\)
\(\tt b.\: -2^{-4}\)
We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:
\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)
\(\hrulefill\)
\(\tt c. \:(\frac{1}{2})^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:
\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)
Answer:
Step-by-step explanation:
(a) 3^-2 = 1/9
(b) (-2)^-4 = 1/(-2)^4 = 1/16
(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4
Please help me! I give brainly and points
Answer:
3.5
Step-by-step explanation:
Answer: 3.5
Step-by-step explanation: In this scenario, the vertex would be the peak of the baseball throw. We can find the x value of the vertex by using -b/2a. With your equation of 112x-16x^2 we need to change the x^2 value to the front to make it -16x^+112x so that it is in standard form. Now take your b value (112), make it negative (-112), and divide that by 2 times -16. to get 3.5.
I should also include that the x value of the vertex is equal to t which is seconds.
If paper products accounted for 33% of the total MSW recycled in 2010 and about 7m3 of landfill space is saved for each metric ton of paper products recycled, calculate how much landfill space was saved by recycling paper products in 2010 in the United States.
Answer:
Volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space
Note: The Table in the attachment below Shows The Total MSW (in Metric Tons) And Percent MSW Recycled Over Time In The United States.
Step-by-step explanation:
Step 1: Determining the amount in metric tons of paper products recycled
In the year 2010, a total of 76 million metric tons of MSW was recycled.
Recycling of paper products accounted for 33% of the total MSW recycled in 2010.
The amount of paper products recycled in millions of metric ton = 0.33 × 76 million = 25.08 million metric tons of paper products.
Step 2: Determining the volume of landfill space saved in 2010 by recycling paper products
7m³ of landfill space is saved for each metric ton of paper products.
Volume of landfill space saved by recycling paper products in 2010 in the United States = total amount of paper products recycled × 7 m³/metric ton
Volume of landfill space saved = 25.08 million metric tons × 7 m³/metric ton
Volume of landfill space saved = 175.56 million m³ of land space
Therefore, volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space
Using proportions, it is found that about 21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, 33% of the total amount is equivalent to 7 cubic metres, hence:
0.33t = 7
t = 7/0.33
t = 21
21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.
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e) c) d) ¹) Simplify. a) b) c) b) a) 1 250 - (-300) + (-120) 81-19+218-412 -4 235 + 176 - (-3 285) By how much is 18 greater than -8? By how much is -20 less than 20? What must be added to -16 to give 45? What must be added to 25 to give -30? What is the difference between -12 and 12? Calculate. -114 x 15 (105) (15)
a) The simplification of 1250 - (-300) + (-120) results in 1,430.
b) The simplification of 81 - 19 + 218 - 412 results in -132.
c) The simplification of -4235 + 176 - (-3285) results in -774.
d) -20 is less than 20 by 40.
e) 61 must be added to -16 to give 45.
f) -55 must be added to 25 to give -30.
g) The difference between -12 and 12 is -24.
h) Calculating 114 x 15 (105) (15) results in -2,693,250 using multiplication.
What are mathematical operations?The mathematical operations include addition, subtraction, division, and multiplication.
To simplify mathematical expressions, we reduce the complexities by adding like terms, and operands, and using approximation.
Simplification means reducing the expression in a simpler form using various mathematical operations.
a) 1250 - (-300) + (-120)
= 1250 + 300 - 120
= 1,430
b) 81 - 19 + 218 - 412
= 81 + 218 - (19 + 412)
= 299 - 431
= -132
c) -4235 + 176 - (-3285)
= -4235 + 176 + 3285
= -4235 + 3461
= -774
d) -20 is less than 20 by 40 [20 - (-20)].
e) -16 + x = 45
x = 45 + 16
x = 61
f) 25 + x = -30
x = -55
g) -12 - 12 = -24
h) -114 x 15 (105) (15)
= -114 x 23625
= -2,693,250
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Mrs. Bell's class is working together to earn enough money for a field trip. The total cost for the class to go to the observatory is $910. The students want to have the money for their field trip in 5 months - How much do they need to earn each month in order to accomplish their goal? Explain.
The students need to earn $182 per month in order to accomplish their goals.
What is division?Division is the process of dividing a number by a given number.
Given that, the total cost for the class to go to the observatory is $910 and the students need money in 5 months.
To collect $910 in 5 months, students must earn $910/5 per month.
910/5
= 182
Hence, the students need to earn $182 per month in order to accomplish their goals.
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Horatio bought a new bicycle on layaway. He made a $45 initial payment to the
bike shop, and then agreed to pay $10 each week until the bike was paid for. Which
equation represents the relationship between x, the number of weekly payments,
and y, the total amount paid to the bike shop?
Answer:
100
Step-by-step explanation:
HELP!! Will give brainliest
Answer:
my brother said it was
Step-by-step explanation:
1400.053...
There are 12 red marbles in a bag. The ratio of the total number of marbles in the bag to the number of red marbles in the bag is 5:2. How many marbles are in the bag?
Answer:
30 marbles
Step-by-step explanation:
x = total # marbles
5/2 = x/12
2x = 60
x = 30
Decimals to the tenths?
The first digit to the right of the decimal point indicates the number of tenths. For example, the decimal 0.3 is the same as the fraction 3/10.
Simplify 5 - 2 x 3 + 4. Choices are A.) 13 B.) 3 C.) -5 D.) 21
Answer:
Answer. c
Step-by-step explanation:
Answer: its c
Step-by-step explanation:
A sample of 4 different calculators is randomy selected from a group containing 12 that are defective and 36 that have no defects. What is the probability that a least one of the calculators is defective?
Answer: 0.69727
Step-by-step explanation:
Given: Sample size : n= 4
Number of defective calculators = 12
Number of non-defective calculators = 36
Total calculators = 12+36=48
Let X = Number of defective calculators.
The probability that a least one of the calculators is defective will be :
\(P(X\geq1)=P(X=1)+P(X=2)+P(X=3)+P(X=4)\\\\=\dfrac{^{12}C_1\times\ ^{36}C_{3}}{^{48}C_4}+\dfrac{^{12}C_2\times\ ^{36}C_{2}}{^{48}C_4}+\dfrac{^{12}C_3\times\ ^{36}C_{1}}{^{48}C_4}+\dfrac{^{12}C_4\times\ ^{36}C_{0}}{^{48}C_4}\\\\=\dfrac{12\times7140}{194580}+\dfrac{66\times\ 630}{194580}+\dfrac{220\times\ 36}{194580}+\dfrac{495\times\ 1}{194580}\approx0.69727\)
Hence, the required probability = 0.69727
What is the meaning of "\(F=\left \{ (x,y):\varphi (x,y,p) \right \}\)"?
The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.
The expression "F = {(x, y) : φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function φ, which takes the variables x, y, and p as inputs.
To fully understand the meaning of F, we need to delve into the function φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.
For instance, let's consider a specific example where vraphi(x, y, p) is defined φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.
It is important to note that the specific meaning and implications of F heavily rely on the nature of the function φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.
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pls help ASAP this is timing meeee!!!!
Answer:
48
Step-by-step explanation:
details will be added
On average, indoor cats live to 13 years old with a standard deviation of 2.4 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(
,
)
b. Find the probability that an indoor cat dies when it is between 11 and 14.6 years old.
c. The middle 30% of indoor cats' age of death lies between what two numbers?
Low:
years
High:
years
These values represent the range within which the middle 30% of indoor cats' age of death lies.
a. The distribution of X is a normal distribution, denoted as X ~ N(μ, σ), where μ represents the mean age at death of indoor cats and σ represents the standard deviation.
b. To find the probability that an indoor cat dies when it is between 11 and 14.6 years old, we need to calculate the area under the normal distribution curve between these two values.
First, we need to standardize the values by subtracting the mean and dividing by the standard deviation. Let's call the standardized values z1 and z2.
z1 = (11 - μ) / σ
z2 = (14.6 - μ) / σ
Using the z-table or a statistical calculator, we can find the corresponding probabilities for these standardized values. The difference between these two probabilities will give us the probability of the cat's age at death being between 11 and 14.6 years old.
Let's say the probability for z1 is P1 and the probability for z2 is P2. Then, the probability we're looking for is P2 - P1.
c. The middle 30% of indoor cats' age of death lies between the lower and upper percentiles. To find these percentiles, we need to locate the z-scores that correspond to the lower and upper percentages.
First, let's find the z-scores for the lower and upper percentiles. The lower percentile will be (1 - 0.30) / 2 = 0.35, and the upper percentile will be 1 - (1 - 0.30) / 2 = 0.65.
Using the z-table or a statistical calculator, we can find the z-scores corresponding to these percentiles. Let's call the lower z-score zL and the upper z-score zU.
zL corresponds to the 0.35 percentile, and zU corresponds to the 0.65 percentile.
Now, we can find the values for the lower and upper percentiles using the z-scores, mean, and standard deviation.
Lower percentile = μ + zL * σ
Upper percentile = μ + zU * σ
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Rewrite this number in standard (decimal) notation without the use of exponents or scientific notation:
6.758 x 10^10
Therefore , the solution of the given problem of expression comes out to be sixty-seven billion five hundred eighty million.
How is expression selected?Each variable must be replaced with a number and arithmetic operations must be performed to check an algebraic equation. Given that 6 + 6 equals 12, the answer variable in the aforementioned case is comparable to 6. We can substitute the variables values with those we know in order to evaluate the expression.
Here,
6.758 1010 in scientific notation
The scientific notation is = 6.758e10.
Engineering notation: 67.58 109 billion; prefix: giga- (G)
6.758 x 1010 standard form
10 Order of Magnitude for scientific notation and conventional forms
=>67580000000 (real number)
=>67,580,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
sixty-seven billion five hundred eighty million
word form.
Therefore , the solution of the given problem of expression comes out to be sixty-seven billion five hundred eighty million.
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Please help me with this
Step-by-step explanation:
Flip f(x) about the x-axis by multiplying it by -1
- f(x)
the squish it skinnier by multiplying it by 4
g(x) = - 4 f(x) = -4 x^2
A function is shown: f(x)= 2/3x+3
What is the value of f(18)?
Answer:
15
Step-by-step explanation:
When you see something like f (18), this means 18 needs to be plugged in for x
let's plug in 18
f (18) = \(\frac{2}{3} (18) + 3\)
Let's solve
(18 × 2) ÷ 3 = 12
12 + 3 = 15
f (18) = 15
An ice company has y lbs of ice in stock. The company sells 500 lbs of ice and then receives a new shipment of 5x lbs of ice. Which expression represents the
weight of ice the ice company has now?
Answer:
yes
Step-by-step explanation:
no sabo