Answer:
(-4, 0); x = -4, y = 0
Step-by-step explanation:
The solution is the point that satisfies both equations. It is the point of intersection of the two lines.
Answer: (-4, 0)
Is x = -14 a solution to 9x - 7 = -7?
Answer:
since x=-14
9(-14)-7
-126-7=-133.
A phone company offers two monthly plans. Plan A costs $21 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but costs $0.13 for each minute of calls.
For what amount of calling do the two plans cost the same?
minutes
What is the cost when the two plans cost the same?
$
Answer:
525; $68.25
Step-by-step explanation:
21+.09x=.13x
x=525
21+.09(525)=68.25
.13(525)=68.25
The answers are :
A) The amount of calling for which the two plans cost the same will be 525 minutes.
B) The cost when two plans cost the same amount is $68.25.
What do you mean by algebraic expressions ?
Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.
A)
Let's assume the amount of calling is x for which the two plans cost the same.
So , the algebraic expression can be written as ;
Plan A = Plan B
or
21 + (0.09 × x) = 0 + (0.13 × x)
Solving this we will get amount of calling for which the two plans cost the same as :
21 = 0.13x - 0.09x
0.04x = 21
x = 525 minutes
B)
Now , the cost when two plans cost the same amount :
Plan A = 21 + (0.09 × 525) = 21 + 47.25 = $68.25
or
Plan A = Plan B = $68.25
Therefore , the answers are :
A) The amount of calling for which the two plans cost the same will be 525 minutes.
B) The cost when two plans cost the same amount is $68.25.
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Write a real-world problem involving perimeter that goes with the number sentence 2 x 18+ 2 x 15 = 66.
The real-world problem involving perimeter is that the perimeter of a rectangle of length 18 units and width 15 units is 66 units
How to determine the real-world problem
From the question, we have the following parameters that can be used in our computation:
2 x 18 + 2 x 15 = 66
The perimeter of a rectangle can be calculated using
Perimeter = 2 x Length + 2 x Width
Using the above as a guide, we have the following:
Perimeter = 66Length = 18Width = 15Read more about perimeter at
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Which of the following conditions or set of conditions must be met for a parallelogram to be a rectangle?
A. Diagonals are perpendicular.
B. Diagonals are congruent.
C. All sides are congruent.
D. The length of a diagonal is equal to the length of a side.
A parallelogram can only be a rectangle if the following conditions are satisfied: B) The diagonals must be congruent, and A) the diagonals must be congruent and perpendicular.
What is meant by parallelogram?A unique kind of quadrilateral known as a parallelogram is defined by having both pairs of its opposite sides parallel and equal. The opposing sides of a parallelogram are all parallel and of equal length. a quadrilateral parallelogram. Rhombus: An equal-length parallelogram with four sides. A parallelogram is a square. Always. This is accurate. A square is a quadrilateral with two sets of parallel sides, four right angles, and four congruent sides.Since not all parallelograms have equal sides, not every parallelogram is a rhombus. The opposite is true, though, when every rhombus is a parallelogram.Every rectangle is a parallelogram, but not every parallelogram is a rectangle, is the correct statement.Therefore,
One feature of a parallelogram is that its diagonals are divided in half. A rectangle also has congruent diagonals.
In addition to being congruent, the diagonals in a square are perpendicular to one another.
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Please see the attached.
Answer:
min: 56
lower quartile: 70
median: 74
upper quartile: 80
max: 86
Data from www.centralhudsonlabs.com determined the mean number of insect fragments in 225-gram chocolate bars was 14.4, but three brands had insect contamination more than twice the average. Assume the number of fragments follows a Poisson distribution.
a. If you consume a 225-gram bar from a brand at the mean contamination level, what is the probability of no insect contaminants?
b. Suppose you consume a bar that is one-fifth the size tested (45 grams) from a brand at the mean contamination level. What is the probability of no insect contaminants?
c. If you consume seven 28.35 gram (one-ounce) bars this week from a brand at the mean contamination level, what is the probability that you consume one or more insect fragments in more than one bar?
d. Is the probability of contamination more than twice the mean of 14.4 unusual, or can it be considered typical variation? Explain.
a. The probability of no insect contaminants in a 225-gram bar from a brand at the mean contamination level can be found using the Poisson probability formula:
\(P(X = 0) = \frac{ (e^{-λ})(λ^0)}{0!} = \frac{(e^{-14.4})(14.4^0)}{0!}= 0.000000831\)
b. If you consume a bar that is one-fifth the size tested (45 grams) from a brand at the mean contamination level, the mean number of insect fragments would be one-fifth of 14.4, or 2.88. The probability of no insect contaminants can be found using the Poisson probability formula:
\(P(X = 0) = \frac{(e^-λ)(λ^0)}{0!} = \frac{(e^-2.88)(2.88^0)}{0!} = 0.056032\)
c. If you consume seven 28.35 gram (one-ounce) bars this week from a brand at the mean contamination level, the mean number of insect fragments would be (7 * 28.35/225) * 14.4 = 5.4336.
The probability of consuming one or more insect fragments in more than one bar can be found using the Poisson probability formula and the complement rule:
\($$\begin{aligned}& P(X>1) \\& =1-P(X \hat{a} 1) \\& =1-\left[\left(e^{-} \hat{I}\right)\left(\hat{I}^0\right) / 0 !+\left(e^{-} \hat{I}\right)\left(\hat{I}^1\right) / 1 !\right] \\& =1-\left[\left(e^{-} 5.4336\right)\left(5.4336^0\right) / 0 !+\left(e^{-} 5.4336\right)\left(5.4336^1\right) / 1 !\right] \\& =0.994784\end{aligned}$$\)
d. The probability of contamination more than twice the mean of 14.4 can be found using the Poisson probability formula and the complement rule:
\(P(X > 28.8) = 1 - P(X ≤ 28.8) \\= 1 - ∑(e^-λ)(λ^x)/x!\\ = 1 - 0.999999999999999 \\= 0.000000000000001\)
This probability is extremely small, so it can be considered unusual and not typical variation.
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Urgenteee
Un tronco de madera de 3,080 kg de 1m de diametro
y 10m de largo, flota en el agua ¿Cuanto es el volumen de tronco
por arriba de la superficie del agua?
The volume of the log will be 30,70,760 m³.
What is Archimedes principle?Mathematically, we can write Archimedes principle as -
F{buoyant} = - fluid density {ρ} x acceleration due to gravity {g} x volume {v}
Given is that a 3080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water.
Since the log floats on water, the density of both the log and water is same.
So, we can write volume as -
Volume = 3080 x 997 Volume = 30,70,760 m³
Therefore, the volume of the log will be 30,70,760 m³.
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{QUESTION IN ENGLISH -urgent A 3,080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water. What is the volume of the trunk above the surface of the water?}
House contents insurance is charged at the rate of $4.50 per thousand dollars worth of the contents. How much is the insurance if the contents are worth $13 600?
Answer:
188.5
Step-by-step explanation:
13 times 4.50 is 188.5 and theres 13,000
Evaluate the logarithmic expression.
log8 8^4
The numeric value of the logarithmic expression is given as follows:
4.
How to obtain the numeric value of the logarithmic expression?The logarithmic expression in this problem is defined as follows:
\(\log_8{8^4}\)
First we apply the power rule of the logarithms, meaning that the power of the inner term can multiply the logarithm of the expression, that is:
\(\log_8{8^4} = 4\log_8{8}\)
8 is the firsts power of 8, hence we have that:
\(\log_8{8} = 1\)
Hence the numeric value of the expression is obtained as follows:
\(4\log_8{8} = 4 x 1 = 4\)
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Explain the steps you would take to find a quotation of 1/3÷4/3
Answer:
Answer btw is 1/4 ;)
Step-by-step explanation:
First step in dividing fractions is to flip the second fraction, aka find the inverse.
\(\frac{1}{3}/\frac{4}{3} \\\frac{1}{3}*\frac{3}{4}\)
All you have to do from here is multiply.
\(\frac{3}{12}=\frac{1}{4}\)
Boom.
Long-term assets are depreciated over time for which reason?
Step-by-step explanation:
Depreciation of Long Term Assets
As with most types of assets, long term assets needs to be depreciated over the course of their useful life. It is because a long term asset is not expected to generate a benefit for an infinite amount of time.
Answer:
Inflation
Step-by-step explanation:
The rising costs of goods and services mean that $1 in 2022 will be worth more than $1 in 2032. This is called inflation.
Let's just say you put $200,000 in a savings account in 2000. That could've purchased you a 4 bedroom house at the time.
You keep the money in the account for over 20 years. And in 2020, you want to buy a new home with the money you have saved.
However, you can only buy a 2 bedroom house, because the rising costs of the market, increased the cost, or depreciated your savings.
This is called inflation.
Find the length of side a.
12
=> here's your solution
=> hypotenuse = 13
=> base. = 5
=> we need to find out perpendicular
=> so, we know. h^2 = b^2 + p^2
=> now putting value in this formula
=> p^2 = 13^2 - 5^2
=> p^2 = 169 - 25
=> p^2 = 144
=> p = √144
= >> p = 12
order 9%, 0.03, 0.7% and 0.004 from least
to greatest
two positive real numbers differ by one and have a product equal to one. Find the value of the smaller number to the nearest hundredth
Answer:
1.62
Step-by-step explanation:
smaller number: y
x - y = 1 x = y+1
xy = 1
(y + 1) * y = 1
y² + y - 1 = 0
y = (-1 ± √(1² - 4 * 1 * -1)) / 2 = (-1 ± √5) / 2
small number: (-1 - √5) / 2 = - 1.62
x+y+x=22
a+a+x=28
y+2y+2a=38
2y*x*2a=?
there are no 0, negative number, or fractions
solve for all variables
2x+4=18 help me pleaseeee
Answer:
x=7
Step-by-step explanation:
assuming your solving for x
2x+4=18
subtract 4 from both sides
2x=14 divide 2 from both sides
x=7
Answer: x=7
Step-by-step explanation: (2x+4) + (-4) =18 + (-4)
2x + 4-4 = 18-4
which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
Use the information in the diagram to determine the height of the tree. The diagram is not to scale.
Using the scale factor of the similar triangles, the height of the tree is: 75 ft.
What is the Scale Factor of Similar Triangles?The scale factor of similar triangles is the ratio of the lengths of corresponding sides. It represents the relationship between the size of two similar triangles. If the scale factor is "k", then any side length of the larger triangle is "k" times the length of the corresponding side in the smaller triangle.
The diagram given shows that the bigger triangle is a copy of the smaller triangle that is enlarged by 2. This means the scale factor is 2.
Therefore: the height of the tree = 150/2 = 75 ft.
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A rectangular prism with a square base has a height of 17.2cm and a volume of 24.768cm². What is the length of its base?
Explain the difference:
4 times the sum of x and y and the sum of 4 x and y
Hello!
4 times the sum of x and y
4 * (x + y)
it's a mutliplication
the sum of 4x and y
= 4x + y
it's a sum
Answer:one is multiplying other is some.
Step-by-step explanation:
4xy and =4xy
these two are
Which normal distribution has a wider spread: distribution A with a mean of one and a standard deviation of two, or distribution B with a mean of two and a standard deviation of one?
The normal distribution with mean of one and standard deviation of two has the wider spread.
Normal distribution:
Normal distribution defines a symmetrical plot of data around its mean value, where the width of the curve is defined by the standard deviation.
Given,
Here we have the distributions,
Distribution A with a mean of one and a standard deviation of two, or Distribution B with a mean of two and a standard deviation of one
Now, we have to identify the normal distribution has a wider spread.
Here the normal distribution with a mean of 1 and standard deviation of 2 will be wider than a distribution with a mean of 2 and standard deviation of 2.
Because, the distributions with greater standard deviations indicate greater variability/spread of its variables around the mean.
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(3) In a group of 60 seldiers have enough food for
20 days - How many soldiers should leave the group
so that the food is enough for 100 days ? Find it.
Answer:
48 soldiers
Step-by-step explanation:
60 soldiers 20 days
x soldiers 100 days
60 x 20 = 1200 = 100x
Therefore x = 1200/100 = 12
60 - 12 = 48
Hope that helped!!! k
Answer:
30 Soldiers
Step-by-step explanation:
Given:
1) No of soldiers=60
No of days=20
2) No of days=100
No of soldiers=?
No of soldiers to leave=?
Solution:
Let us use the cross multiplication method.
Let x be the no of soldiers.
No of days No of soldiers
1) 20 60
2) 100 x
by cross multiplying,
20x=100 x 60
20x=600
x=600/20
x=30 soldiers
Therefore, No of soldiers to leave =60-30=30 soldiers
HELLLOOOO HELLLLLLPPPPPPPPPPPPPP
Answer:|
Answer is 2 SIMPLE
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
An equation is shown below: 5(3x − 15) + 16 = 5x + 11 Part A: Write the steps you will use to solve the equation, and explain each step. (8 points) Part B: What value of x makes the equation true? (2 points)
The result of the unknown variable x is equivalent to 7
Solving linear equationsLinear equations are equation that has a leading degree of 1. Given the expression below:
5(3x − 15) + 16 = 5x + 11
Expand the expression
5(3x) - 5(15) + 16 = 5x + 11
15x - 75 + 16 = 5x + 11
15x - 5x - 59 - 11 = 0
10x - 70 = 0
10x = 70
Divide both sides by 10
10x/10 = 70/10
x = 7
Hence the value of x makes the equation true is 7
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And this is not the only question I got to get five right so if you get the question right wait until I make another question please and thank you
9514 1404 393
Answer:
A rotation 90° CW followed by translation right 5 units.
Step-by-step explanation:
It is easier to choose the right composition of transformations if we know what your choices are.
Figure F has an orientation that is 90° CW from that of figure E, so a 90° CW or 270° CCW rotation could be one of the transformations.
Rotation about the origin will move the figure so that the acute angle is in a different quadrant. In order to return it to the same quadrant a translation is required. The amount of translation will depend on whether it comes before or after the rotation.
Possible sequence of motions are ...
A rotation 90° CW followed by translation right 5 unitsTranslation up 5 units followed by rotation 90° CWListed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
Which of the following are solutions to |x-1|=5x+2? Check all that apply.
A. x= -4/3
B. x= -1/6
C. x= 3/4
D. x= 1/6
Answer:
Step-by-step explanation: привет как вы это t6767
Calculate the area of a circle with a radius of 5 meters
The area of a. square field is 100m square. what is the perimeter of the field?
answer:the Perimeter is 40m
(x is 85% of 13, 60% of 45 is y)