Answer: x=1
Step-by-step explanation:
[tex][(-\frac{2}{5})^2] ^x*(-\frac{5}{2}) ^{-1}=-\frac{8}{125} \\\\(-\frac{2}{5})^{2*x}*(-\frac{2}{5})^1 =-\frac{2^3}{5^3} \\\\(-\frac{2}{5} )^{2x+1}=(-\frac{2}{5})^3 \\\\Hence,\\\\2x+1=3\\\\2x+1-1=3-1\\\\2x=2[/tex]
Divide both parts of the equation by 2:
[tex]x=1[/tex]
A building manager is buying gravel and mulch for landscaping. He can spend no more than $250 and must cover at least 200 square feet. Gravel costs $2 per square foot, and mulch costs $0.25 per square foot. If the building manager wants to purchase only one material, can he? Explain your answer.
Answer:
No, the building manager cannot purchase only one material. The maximum amount he can spend is $250, and 200 square feet of gravel would cost $400, which is more than the budget allows. Similarly, 200 square feet of mulch would cost only $50, which is far less than the budget allows.
Step-by-step explanation:
5x2 to the power of 5
2) Choose the equation of a line parallel to the given equation and passing through a point P.
-3x - y = - 4; P = (1, 4)
Equation of the line is y = -3x + 7.
What are parallel line ?Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines.
Suppose the line's equation is y=mx + c, where m and c are unknowns.
Since it is parallel to the equation y = -3x + 4 and -3x - y = -4, its slope is now -3. So m = -3.
Additionally, point (1,4). Therefore, this should be satisfied by our line's equation.
Consequently, 4 = -3(1) + c
therefore c = 7
The line's equation changes to y = -3x + 7.
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FILL IN THE BLANK. a(n) ____________ difference is due to some systematic influence and not due to chance.
The correct option is (a) significant.
a(n) significant difference is due to some systematic influence and not due to chance.
Significant: Having or likely to have influence or effect : important. a significant piece of legislation also of a noticeably or measurably large amount. a significant number of layoffs.
Insignificant: small or unimportant
null: Lacking meaning or having no value
serendipitous: come upon or found by accident
As per the question the suitable answer is option (a).
Therefore, the correct answer is Significant
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A(n) significant difference is due to some systematic influence and not due to chance. Choose one answer.
a. significant b. insignificant c. null d. serendipitous
what is the power of the lens that has a focal length of 40 cm and a diameter of 5.0 cm?
The power of the lens is 2.5D
The focal length of 40 cm and a diameter of 5.0 cm.
Optical power (also referred to as dioptric power, refractive power, focusing power, or convergence power) is the degree to which a lens, mirror, or other optical system converges or diverges light. It is equal to the reciprocal of the focal length of the device: P = 1/f.
Power of lens = 1 / focal length (in meters)
For a thin lens in air, the focal length is the distance from the center of the lens to the principal foci (or focal points) of the lens. For a converging lens (for example a convex lens), the focal length is positive and is the distance at which a beam of collimated light will be focused to a single spot.
we have focal length 40cm (.4 m)
so
Converging lenses have positive optical power, while diverging lenses have negative power.
Power of lens = 1/0.4 m
=2.5 D [The unit of Power of lens is Dioptre]
Therefore, the power of the lens that has a focal length and a diameter of 5.0 cm is 2.5D
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Pls help I also need to classify the polynomial by the # of terms
The 12+5x² Leading Coefficient is 5, the [tex]2p^{2} +4p^{4} -5[/tex] Leading Coefficient is 4. and The -5y³ Leading Coefficient is -5
What is polynomial function?
A polynomial function is a function in an equation, such as the quadratic equation or the cubic equation, that only uses non-negative integer powers or only positive integer exponents of a variable.
Solution:
1) 12+5x²
Standard form: 5x²+12 Degree: 2Leading Coefficient: 52) [tex]2p^{2} +4p^{4} -5[/tex]
Standard form: [tex]4p^{4} +2p^{2}-5[/tex] Degree: 2+4=6Leading Coefficient: 43) -5y³
Standard form: -5y³ Degree: 3Leading Coefficient: -5To know more about Polynomial visit,
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9x+7y=256 and 3x+5y=125
Answer:
y= 14.875
x= 16.875
Step-by-step explanation:
simultaneous equation
substitution method
Help please! I will mark brainliest.
Problem Walkthrough: Find the area of this figure.
Use 3.14 to approximate pi.
F
6
9
To solve for the area, split the figure into simple figures as
shown below. Solve for the area of each and combine.
6
Triangle
6
9
Rectangle
Half-circle
Enter the value
that belongs in
the green box.
Total Area
12
Answer:
86.13
Step-by-step explanation:
area of Triangle: ½ × height × base = ½ ×6×6= 18 cm
area of Rectangle: length × width= 6×9 = 54 cm
area of circle= π × (radius)² then...
area of Half-circle = [π×(radius)²] ÷2 = [3.14×(6/2)²] ÷2 = 14.13 cm
The Area of this figure= 18 + 54 + 14.13 = 86.13 cm
Answer:
[tex]A = 86.13[/tex]
Step-by-step explanation:
In order to find the area of the given figure
We need to divide the figure Into the following shapes
Firstly,
A triangle
Rectangle
Semi Circle
Area of a triangle + Area of a rectangle + Area of a semi circle = Area of the whole figure
So lets find the area of the figures
Area of Triangle = [tex]\frac{1}{2}[/tex]X[tex]6[/tex]X[tex]6[/tex]
= [tex]18[/tex]
Area of a rectangle = [tex]l[/tex]x[tex]b[/tex]
= [tex]9[/tex]x[tex]6[/tex]=[tex]54[/tex]
Area of a semi circle = [tex]\frac{1}{2}\pi r^{2}[/tex]
= [tex]\frac{1}{2} X \frac{22}{7} X(3)^{2}[/tex]
= [tex]14.13[/tex]
[tex]A = 18 + 54 + 14.13[/tex]
[tex]A = 86.13[/tex]
The total area of the geometry will be 86.13 square units.
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Line k has a slope of 1/3. Line j is perpendicular to line k and passes through the point (1,4). Create an equation for line j.
The equation of line j is x + 3y -13 = 0 which is perpendicular to line k.
How does one point slope?
The general form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).One of the three forms we can use to express a straight line is the point slope form, also referred to as the point-gradient form.This form is helpful since it allows us to find the equation of the line by only knowing the slope and one point along the line.Line k is perpendicular to line j
m(j) = - m(k)
m(j) = -(1/3)
One slope one point formula:
y - y₁ = m( x - x₁ )
y - 4 = -(1/3)(x - 1)
3y - 12 = -x + 1
x + 3y -13 = 0
Hence, The equation of line j is x + 3y -13 = 0 which is perpendicular to line k.
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i need the answer to 9x5x2=9x please
Answer:
x=10
Step-by-step explanation:
The printer at Seneca office can print out one A1 page every 5 seconds. In 4.3 hours time, how many pages can be printed out? Add any workings here
Answer: There are 4.3 hours * 60 minutes per hour = 4.360=258minutes in 4.3 hours.
There are 258 minutes * 60 seconds per minute = 25860=15480 seconds in 258 minutes.
Therefore, the printer at Seneca office can print out 15,480 pages / 5 seconds per page =15480/5=3096 pages in 4.3 hours. Answer: 3096
Step-by-step explanation:
If the exponent of the leading term of the numerator is higher than the exponent of the leading term of the denominator, what can we conclude?.
If the degree on x in the denominator is larger than the degree on x a bigger leading exponent than the polynomial in the numerator.
After then the graph to the value found by dividing the leading coefficients of the two polynomials.
To find horizontal asymptotes:
1. If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).
2. If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.
3. Rational functions (a polynomial divided by a polynomial) and exponential functions have horizontal asymptotes.
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The sum of two numbers is 62, and their difference is
12. What are the numbers?
Answer:
25 and 37
Step-by-step explanation:
x+y=62
y-x=12
+x. +x
y=12+x
x+(12+x)=62
2x+12=62
-12. -12
2x=50
/2. /2
x=25
25 is one of the numbers
y-25=12
+25 +25
y=37
hopes this helps
academic advising: in 2014 the community college survey of student engagement reported that 32% of the students surveyed rarely or never use academic advising services. suppose that in reality, 42% of community college students rarely or never use academic advising services at their college. in a simulation we select random samples from this population. for each sample we calculate the proportion who rarely or never use academic advising services. what is the smallest sample in the list below that will satisfy the conditions for the use of a normal model to represent the sampling distribution?
The smallest sample in the following list that meets the requirements for using a normal model to depict the sampling distribution is 0.0349.
What is standard deviation?A standard deviation (or) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out. Statisticians have concluded that numbers with a margin of error of no more than 2 SD reflect measures that are closer to the real value than those with a margin of error more than 2SD. As a result, most QC procedures mandate that remedial action be taken for data points that consistently fall outside of the 2SD range.
Here,
Probability that students surveyed rarely or never use academic advising services = 32% = 0.32
In reality, students rarely or never use academic advising services at their college = 42% = 0.42
Sample size, n = 200
The sampling distribution of sample proportion will be approximately normal with mean.
therefore,
Mean, = p
= 0.42
now, the standard deviation is given using the formula
on substituting the respective values, we get
= √0.001218
= 0.0349
The smallest sample in the list below that will satisfy the conditions for the use of a normal model to represent the sampling distribution is 0.0349.
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your client has a horse that is traveling to compete in an international event. one of the export requirements is a negative test for equine infectious anemia (eia). the results need to be reported on the international health certificate (ihc). where can you send the blood sample for testing to obtain official results?
You can send the blood sample size to a certified laboratory for testing. The laboratory will provide official results that can be reported on the IHC. State and federal animal health departments and veterinary diagnostic laboratories are usually certified to provide this service.
To obtain official results for a negative test for equine infectious anemia (EIA) for an international event, you can send the blood sample to a certified laboratory for testing. You should contact your state or federal animal health department or a veterinary diagnostic laboratory to find a certified laboratory in your area. The laboratory will test the blood sample and provide the official results to be reported on the international health certificate (IHC). It is important to make sure you use a certified laboratory for the testing in order to ensure the results are accurate and can be accepted for the international event.
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Your cousin plays point guard for her community basketball team. When she plays in a game, five out of seven baskets she scores for her team are lay-ups.
If your cousin scores fourteen baskets for her team at Saturday night's game, how many were lay-ups?
If, during the course of the season, your cousin scores one hundred forty baskets for her team, how many were lay-ups?
If, over the course of several games, your cousin makes twenty lay-ups, how many total baskets did she score for her team?
The total number of lay-ups in 14 baskets is 10
The total number of lay-ups in 140 baskets is 100The total number of baskets in 20 lay-ups is 28The total number of lay-upsIn fourteen baskets
From the question, we have the following parameters that can be used in our computation:
Lay-ups = 5 out of 7 baskets
This means that
Lay-ups = 5/7 baskets
When the number of baskets is 14, we have
Lay-ups = 5/7 * 14
Evaluate
Lay-ups = 10
In one hundred forty baskets
From the question, we have the following parameters that can be used in our computation:
Lay-ups = 5 out of 7 baskets
This means that
Lay-ups = 5/7 baskets
When the number of baskets is 140, we have
Lay-ups = 5/7 * 140
Evaluate
Lay-ups = 100
The total number of basketsHere, we have
Lay-ups = 20
Recall that
Lay-ups = 5/7 baskets
So, we have
Baskets = 7/5 lay-ups
This gives
Baskets = 7/5 * 20
Evaluate
Baskets = 28
Hence, the number of baskets is 28
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What is the circumference of the following circle?
Use 3.14 for \piπpi and enter your answer as a decimal.
Answer:
9.42cm
Step-by-step explanation:
according to fig :
diameter (d) =3cm so ,
radius (r) = d/2 =3/2 = 1.5cm
solution:
as we know that ,
circumference of a circle = 2πr
=2×3.14×1.5
=9.42 cm
Answer:
21.98 cm
Step-by-step explanation:
The circumference formula is [tex]2\pi r[/tex] which can be expressed as [tex]\pi d[/tex], where r is radius and d is the diameter length.
Since we know the diameter is 3 cm, that means we can plug in that value for d and get [tex]7 \pi[/tex] as the circumference
However, the question tells us to use 3.14 for [tex]\pi[/tex], so we must find the value of [tex]7 * 3.14[/tex]. By doing mental math or by using a calculator we can find this value to be 21.98.
Thus, the circumference of the circle is 21.98 cm
If angle D is 22 degrees, what is the measure of angle B?
Answer:
22 degrees
Step-by-step explanation:
D=B and C=A
A bakery old 26 vanilla cupcake in a day which wa 13 percent of the total number of cupcake old that day. How many total cupcake did the bakery ell that day
The bakery sold total 200 cupcake in that day.
What is percent value?The word percent means per hundred and percent value of a quantity refers to the hundred parts of that quantity. Percent value is expressed by sign %.
How to calculate percentage value?In order to determine a percent value of a quantity, we divide the quantity by the total quantity and finally the resultant value is multiplied by 100.
In the other hand, when we need to calculate total quantity from a percentage value, we multiply the specific quantity by 100 and finally the resultant is divided by the percentage value.
Given, Number of cupcakes sold at a specific time =26 which was 13 percent of total number of cupcakes sold in that day.
Therefore, number of total cupcakes sold in that day = 26× 100/13 =200
the total number is 200
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In a game, the number of dominos in various rows forms an A.P. If the number of dominos
in the 3rd and 11th cell together is 68 and number of dominos in 11th cell is 24 more than of
3rd cell, then answer the following questions based on this data.
The number on the third term and the eleventh term will be 22 and 46, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
In a game, the number of dominos in different lines structures an A.P. Assuming that the quantity of dominos in the third and eleventh cell together is 68 and the quantity of dominos in the eleventh cell is 24 a bigger number than of the third cell.
Let 'x' be the third number and 'y' be the eleventh number. Then the equations are given below.
x + y = 68 ...1
y = x + 24 ...2
From equations 1 and 2, then we have
x + x + 24 = 68
2x = 44
x = 22
Then the value of the variable 'y' will be given as,
y = 22 + 24
y = 46
The number on the third term and the eleventh term will be 22 and 46, respectively.
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find the value of x in the figure?
Answer:
x = 11
Step-by-step explanation:
the sum of the 3 angles in the triangle = 180°
sum the 3 angles and equate to 180
80 + 60 + 3x + 7 = 180
147 + 3x = 180 ( subtract 147 from both sides )
3x = 33 ( divide both sides by 3 )
x = 11
Answer:
x = 11
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
60 + 80 + 3x+7 = 180
Combine like terms
3x+147=180
Subtract 147 from each side
3x+147-147=180-147
3x = 33
Divide each side by 3
3x/3 = 33/3
x = 11
PLEASE HELP QUICK I WILL GIVE BRAINLIEST
Answer:
z > 1 1/3
Step-by-step explanation:
See picture
Which expression is equivalent to 63.56 (–81.47)? 63.56 – 81.47 63.56 81.47 –63.56 – 81.47 –63.56 81.47
The expression 63.56 (-81.47) is equivalent to 63.56 - 81.47.
Option (A) is correct.
What is subtraction?
Subtraction is an arithmetic operation that involves finding the difference between two numbers. In mathematics, subtraction is represented by the minus sign (-).
To find the value of 63.56 (-81.47), we need to perform the arithmetic operation of subtraction. In this case, 63.56 is the minuend and -81.47 is the subtrahend.
The expression 63.56 (-81.47) is equivalent to 63.56 + (-81.47), which is equal to
The result of this subtraction is -17.91.
Hence, the expression 63.56 (-81.47) is equivalent to 63.56 - 81.47.
Option (A) is correct.
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Establish the identity.
(csc0+ cot 0)(csc0- cot0) = 1
a. Multiply and write the left side expression as the difference of two squares: ?
b. The expression from the previous step is equivalent to 1 using what?
O A. Reciprocal Identity
O B. Quotient Identity
O C. Pythagorean Identity
O D. Cancellation Property
O E. Even-Odd Identity
pls help asap i can’t pass this class without passing this test
To answer this question, we need to first multiply the left side of the given equation and write it as the difference of two squares. This can be done by using the difference of squares formula, which states that the difference of two squares can be written as the product of the square of the sum and the square of the difference.
The left side of the given equation can be written as:
(csc0+ cot 0)(csc0- cot0)
We can then apply the difference of squares formula to this expression to get:
(csc0+ cot 0)(csc0- cot0) = (csc0+ cot 0)(csc0- cot0)
Now, we can see that this expression is equivalent to 1 using the Cancellation Property. This property states that if two numbers or expressions are equal, then their corresponding parts are also equal. In this case, since 1 = (csc0+ cot 0)(csc0- cot0), we can cancel out the corresponding parts on both sides of the equation to get 1 = 1.
Therefore, the correct answer is D. Cancellation Property.
PLS HELP WITH THIS ASSIGNMENT OMG ITS SO HARD FOR ME
The new coordinates of each of the triangle coordinates are;
1) A'(-12, 6), B'(3, 9), C'(-9, 18)
2) A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)
3) X'(-8, 2), Y'(2, 14), Z'(8, 8)
4) X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)
5) A'(-8, 4), B'(2, 6), C'(-6, 12)
6) X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)
7) X'(-20, 5), Y'(5, 35), Z'(20, 20)
8) A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)
How to carry out dilation in transformation?Dilation is defined as a type of transformation where an image size either increases or decreases but then has the same shape as the original one. Thus, we will just multiply each coordinate by the scale factor;
We are given the coordinates of both triangles as;
Triangle ABC = A(-4, 2), B(1, 3), C(-3, 6)
Triangle XYZ = X(-4, 1), Y(1, 7), Z(4, 4)
1) Dilate triangle ABC by a scale factor of 3 means we multiply each ABC coordinate by 3 to get;
A'(-12, 6), B'(3, 9), C'(-9, 18)
2) Dilate triangle ABC by a scale factor of 1/2 means we multiply each ABC coordinate by 1/2 to get;
A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)
3) Dilate triangle XYZ by a scale factor of 2 means we multiply each XYZ coordinate by 2 to get;
X'(-8, 2), Y'(2, 14), Z'(8, 8)
4) Dilate triangle XYZ by a scale factor of 1/4 means we multiply each XYZ coordinate by 1/4 to get;
X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)
5) Dilate triangle ABC by a scale factor of 2 means we multiply each ABC coordinate by 2 to get;
A'(-8, 4), B'(2, 6), C'(-6, 12)
6) Dilate triangle XYZ by a scale factor of 1/3 means we multiply each XYZ coordinate by 1/3 to get;
X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)
7) Dilate triangle XYZ by a scale factor of 5 means we multiply each XYZ coordinate by 5 to get;
X'(-20, 5), Y'(5, 35), Z'(20, 20)
8) Dilate triangle ABC by a scale factor of 1/4 means we multiply each ABC coordinate by 1/4 to get;
A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)
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delivered.
a. What is the constant rate of change? What does it represent?
b. What is the initial value? What might that represent?
The constant rate of change and initial value for the given graph are 40 and 20 respectively. the initial value might represent the fixed cost of the soil.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The given problem can be solved as follows,
(a) The graph given is a straight line that passes through (0, 40) and (10, 240).
The constant rate of change is equivalent to the the slope of the line given as,
⇒ (240 - 40)/(10 - 0) = 20
(b) The initial value of the graph is given as the y-intercept of the line.
Which is given as 40.
It might represent the fixed cost.
Hence, the constant rate of change is given as 40 and the initial value is 20 which might represent the fixed cost.
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The missing graph is attached here.
in the decimal number 1238.654 the place value of 5 is
The function S(d)= 86log d +112 relates the speed of wind, S, in miles per hour, near the centre of a tornado to the distance the tornado travels, d, in miles. Estimate the rate at which the speed of the wind at the centre of the tornado is changing the moment it has traveled its 50th mile.
The rate at which the speed of the wind changes at the 50th mile is 258.114 miles per hour
How to estimate the rate at which the speed of the windFrom the question, we have the following parameters that can be used in our computation:
Function: S(d) = 86log d + 112
Express the above function properly
So, we have the following representation
S(d) = 86log(d) + 112
From the question, we have:
Distance = 50th mile.
This means that
d = 50
Substitute the known values in the above equation, so, we have the following representation
S(50) = 86log(50) + 112
Evaluate the logarithm
So, we have the following representation
S(50) = 86 * 1.699 + 112
Evaluate the products
S(50) = 146.114 + 112
Lastly, we have
S(50) = 258.114
Hence, the speed is 258.114 miles per hour
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molly is playing a game that requires her to roll a fair die repeatedly until she first rolls a 1, at which point she must stop rolling the die. what is the probability that molly will roll the die less than four times before stopping?
The probability that molly will roll the die less than four times before stopping is 91/216
Probability is the calculation of an outcome or the chance of an event ever happening.
Probability determines the likelihood of an event occurring: P(A) = f / N.
Probability(Event) = Favorable Outcomes/Total Outcomes
She can do this in 1 roll, 2 rolls, or 3 rolls.
Probability of getting 1 in the first roll: 1/6
Probability of getting 1 on the second roll: 5/6∗1/6=5/36
Probability of 1 on the third roll: 5/6∗5/6∗1/6=25/216
As it can happen in 1, 2, or 3 rolls we add the probabilities: 1/6+5/36+2/52
⇒26/216+30/216+25/216
⇒91/216
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What is 5 times 10000
Answer:
50000
Step-by-step explanation: