a) Because when you simplify it, you get (x+5)(x+5) or \((x+5)^2\)
Answer:
A is the correct answer trust me
it's a shame 1 hour and 45 minutes to pick 3 1/2 pounds of raspberry at what unit rate did she pick raspberries
Answer:2 pounds per hour
Step-by-step explanation:
what measures the difference between the largest and smallest observations in a set of data?
The range of this dataset is 9, which indicates that the difference between the largest and smallest observations is 9 units
The measure that quantifies the difference between the largest and smallest observations in a set of data is called the range. The range is a simple statistical measure that is calculated by subtracting the smallest value from the largest value in the dataset.
For example, if we have the following dataset of 10 numbers:
5, 2, 9, 7, 6, 8, 4, 3, 1, 10
Then the range of the dataset can be calculated as follows:
Range = Largest value - Smallest value = 10 - 1 = 9
Therefore, the range of this dataset is 9, which indicates that the difference between the largest and smallest observations is 9 units.
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A Rectangular fish tank has a base of 12 1/2 units and a height of 6 1/5 units. What is the total volume?
The total volume of the rectangular fish tank is 480.5 units.
Base length = 12 1/2 units Height = 6 1/5 units
Convert the mixed numbers to improper fractions
Base length = 12 1/2 = 12 +1/2 = 25/2
Height = 6 1/5 = 6 + 1/5 = 31/5
Now, we can calculate the base area
Base area = length × height
Base area = (25/2) × (31/5) = 775/10 = 77.5
We multiply the base area by the height to get the total volume: Total volume = Base area × Height
Volume = 77.5 × (31/5)
Volume = 480.5
Therefore, the total volume of the rectangular fish tank is 480.5 units.
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You bought a package of paper for $3 and some pencils for $2 each at the school store. You paid $15 for everything that you bought. How many pencils did you buy?
Answer:
6 pencils
Step-by-step explanation:
Total cost = paper * cost of a package + pencils * cost of a pencils
We bought 1 pack of paper at 3 dollars and p pencils at 2 dollars
15 = 1*3 + p*2
15 = 3+2p
Subtract 3 from each side
15-3 = 3+2p-3
12 = 2p
Divide by 2
12/2 = 2p/2
6 = p
In how many different ways can a true false test consisting of 9 questions be answered? sol) ni = 2, n2 = 2, n3 = 2, n4 = 2,n5 = 2, n6 = 2, n7 = 2, ng = 2, ng = 2 By theorem 2.1, nin2n3n4n5n6ning ng = (2)(2)(2)(2)(2)(2)(2)(2)(2) = 29 = 512 possible ways.
A true/false test with 9 questions can be answered in 512 different ways.
The number of ways a true/false question can be answered is 2 (either true or false). By the theorem of counting, the number of ways to answer a series of independent events (such as a series of true/false questions) is equal to the product of the number of ways each event can occur.
In this case, the number of ways to answer 9 independent true/false questions is 2 raised to the power of 9, or 2⁹ = 512. This means that there are 512 possible combinations of answers for a 9-question true/false test.
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Start at (5, 4). Move 5 units east, 4 units south, 4 units west, 4 units north, and 1 unit west.
What is the ordered pair of the final point?
Using translation concepts, it is found that the ordered pair of the final point is given by:
D. (5,4).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this situation, considering that we start at point (5,4), the translations are as follows:
5 units east, hence x = x + 5 = 10.4 units south, hence y = y - 4 = 0.4 units west, hence, x = x - 4 = 6.4 units north, hence y = y + 4 = 4.1 unit west, hence x = x - 5 = 5.It ends at the starting point, hence option D is correct.
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The statement "P implies Q' is FALSE under which of the following conditions? Choose all that apply. a. P and Q are both true. b. P and Q are both false. c. P is true and Q is false. d. P is false and Q is true.
The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.
The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).
To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.
Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.
Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.
Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.
Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.
Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.
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if f(x) = -3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true
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\(f(x) = g(x)\)
\( - 3x + 4 = 2\)
Subtract sides 4
\( - 3x + 4 - 4 = 2 - 4\)
\( - 3x = - 2\)
Divided sides by -3
\( \frac{ - 3}{ - 3} x = \frac{ - 2}{ - 3} \\ \)
\(x = \frac{2}{3} \\ \)
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Thus for x = ⅔ , f(x) = g(x)
Answer:
Step-by-step explanation:
2/3
What can you say about the measurements of a ramp with a slope of?
A) Ramp with a length of 100 feet and height of 50 feet
B) Ramp with a length of 200 feet and height of 50 feet
C) Ramp with a length of 100 feet and height of 100 feet
D) Ramp with a length of 100 feet and height of 200 feet
Answer:
all answers on the graph will be 4 times that amount
Step-by-step explanation:
rise over run
basically if y is 1 and its of a slope of 1/4 then youd multiply it by 4. 2/8 3/12
as well as it will always be a positive slope :)
Which of these is true?
a) Some ordered pairs of real numbers are not points in the Cartesian coordinate system.
b)Only integer ordered pairs are allowed in the coordinate system.
c)There is no point in the coordinate system with the ordered pair (T, Tt)
d)all of the above are false
9514 1404 393
Answer:
d) all of the above are false
Step-by-step explanation:
Every ordered pair of real numbers is a point in the Cartesian coordinate system.
The various statement saying otherwise are all false.
The height of a cupboard drawer is 35 cm. Three boxes measuring 3 cm 3 mm, 2 cm 5 mm, and 4 cm 5 mm in height are placed one on top of the other in the drawer. How much space is left above the boxes in the drawer
3 cm 3 mm = 3.3 cm, 2 cm 5 mm = 2.5 cm, 4 cm 5mm = 4.5cm
The combined heights of the boxes are 3.3 + 2.5 + 4.5 = 10.3(cm)
-> There is 35 - 10.3 = 24.7(cm) above the boxes in the drawer left.
what is the answer when x = 10
Answer:
b = 10
Step-by-step explanation:
substitute x = 10 into the equation
b = \(\frac{2(10)^2(10-5)}{10(10)}\)
= \(\frac{2(100)(5)}{100}\) ← cancel 100 on numerator/ denominator
= 2(5)
= 10
What is the domain and range of the following function
Answer:
domain: (–∞,∞) or all real numbers
range: (–∞,∞) or all real numbers
Step-by-step explanation:
domain is left to right (x-axis). looking at the graph, as you go from left to right, the x-values are infinitely getting more negative and positive.
range is bottom to top (y-axis). as you go from bottom to top, the y-values are infinitely getting more negative and positive.
plz help ASP i need hyelp
Answer:
equilateral acute
Step-by-step explanation:
Answer:
Equilateral Acute Triangle
Step-by-step explanation:
James is buying a new shirts.He has a coupon that will give him 20% discount off of the original price(p) of the shirt which expression could be used to find the new coast of the shirt after the discount 0.2p 0.8p 1-0.2p 100p-20p
The expression for the new cost of the shirt is 0.8p. Option B
What is price discount?Price discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product
To get the expression for the new cost of the shirt,
1 - 0.2 = 0.8
We then multiply the new percentage with the price to get the new price. And this can be expressed as: 0.8p
Hence, 0.8p is the new expression for the price discount
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find the volume of this cylinder use 3 for pie V= pier2h V=pie{?} 2 { } 8cm 20 cm
The volume of this cylinder is equal to 675 cm².
How to calculate the volume of a cylinder?Mathematically, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.Substituting the given parameters into the volume of a cylinder formula, we have the following;
Volume of a cylinder, V = πr²h
Volume of a cylinder, V = 3 × 5² × 9
Volume of a cylinder, V = 3 × 25 × 9
Volume of a cylinder, V = 675 cm².
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Find the perimeter. Simplify your answer.
add all the sides!
[side one] + [side two] + [side three]
[7y + 10] + [7y + 10] + [y - 4]
= 14y + 20 + y - 4
= 15y + 16
hope this helps :) !!
Answer:
15y + 16
Step-by-step explanation:
2(7y + 10) + y - 4
14y + 16 + y
15y + 16
Determine if the function is linear. if it is, find the rate of change
A sector with a central angle measure of 4/ 7π(in radians) has a radius of 16 cm. what is the area of the sector.
The area of the sector is approximately 73.14 square centimeters.
The formula to calculate the area of a sector is given by A = (θ/2) × r^2, where θ is the central angle measure in radians, and r is the radius of the circle.
Substituting the given values in the formula, we get A = (4/7π/2) × 16^2
Simplifying this expression, we get A = (8/7) × 16^2 × π/2
A = 128π square centimeters/7
Using the approximation π ≈ 3.14, we can calculate the value of A as follows:
A ≈ (128 × 3.14) square centimeters/7 ≈ 573.44 square centimeters/7 ≈ 73.14 square centimeters (rounded to two decimal places)
Therefore, the area of the sector is approximately 73.14 square centimeters.
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The scores on an exam have mean = 110, standard deviation = 15, minimum = 69. Q1 =87, median = 94,03 = 117, and macimum = 128. State which of these values are used in a box plot and then ch the box plot Which of these values are used in the box plot? Select all that apply A. median B. mean C. standard deviation D. Q1 E. minimum F. Q3
The values that are used in the box plot are:
A - Median
D - Q1
E - Minimum
F - Q3
G - Maximum
The stated question is related to the topic Statistics from maths.
The box plot is a five number set of data . The numbers are as stated above median , Q1 , minimum , Q3 and maximum .
The plotting of box plot is done as follows :
Draw a box from first quartile to third quartile that is from Q1 to Q3Now , inside the box draw a vertical line at medianThe whiskers go from each quartile to minimum and maximum , in easy words draw horizontal line from Q1 and Q3 representing minimum and maximum.To know more about box plot refer to the link below :
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Complete question
The scores on an exam have mean = 110, standard deviation = 15, minimum = 69 , Q1 =87, median = 94 , Q3 = 117, and maximum = 128.
State which of these values are used in a box plot ? Select all that apply
A. median
B. mean
C. standard deviation
D. Q1
E. minimum
F. Q3
G. maximum
HELPPP
12x^5y^4 / 32x^2y^4
Answer:
\( \frac{3x {}^{3} }{8} \)
Step-by-step explanation:
\( \frac{3 {x}^{3} }{8} \)
How do you solve this problem and what is the answer?
48.06 ÷ 6 what is the anwser
Answer:
8.01 is the answer
Answer:
8.01
Step-by-step explanation:
What is the linear function equation that best fits the data set? 1) y = -2x + 5. 2) y = 2x + 5. 3) y = -1/2x + 5. 4) y = 1/2x - 5.
Without specific information about the data set, it is not possible to determine which equation is the best fit.
To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.
However, I can provide a general explanation of the four options:
y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.
y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.
y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.
y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.
Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.
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fidn a value of c>1 so that the average value of f(x) = (9pi/x^2)(cos(pi/x)) on the interval (1,c) is -.09
The value of c is approximately 1.1476.
To find the value of c for which the average value of the function f(x) = (9π/x^2)(cos(π/x)) on the interval (1,c) is -0.09, we need to calculate the average value of the function and solve for c.
The average value of a function f(x) on an interval [a, b] is given by:
Average value = (1 / (b - a)) * ∫[a, b] f(x) dx
In this case, we have the interval (1, c) and want the average value to be -0.09. So we can set up the equation:
-0.09 = (1 / (c - 1)) * ∫[1, c] [(9π/x^2) * cos(π/x)] dx
To solve this equation, we first evaluate the integral on the right side. The integral of the given function can be quite challenging to evaluate analytically. Therefore, we can use numerical methods or software to approximate the value of the integral.
Once we have the numerical approximation for the integral, we can solve for c by rearranging the equation:
(c - 1) = (1 / -0.09) * ∫[1, c] [(9π/x^2) * cos(π/x)] dx
(c - 1) = -1 / 0.09 * Approximated value of the integral
Finally, we can solve for c by adding 1 to both sides of the equation:
c = 1 + (-1 / 0.09) * Approximated value of the integral
Using numerical methods or software, we can compute the value of the integral and substitute it into the equation to find the approximate value of c, which is approximately 1.1476.
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A washer and a dryer cost $1000 combined. The cost of the washer is $175 more than the cost of the dryer. Determine the cost of the washer and the cost of the dryer.
Answer:
washer is 587$
Step-by-step explanation:
1000 - 175
825
825 divided by 2 than add 175 to the washers half
the cost of the washer is $587.5, and the cost of the dryer is $412.5.
Let's assume the cost of the dryer is "x" dollars.
According to the information given, the cost of the washer is $175 more than the cost of the dryer. So, the cost of the washer can be represented as "x + $175" dollars.
The combined cost of the washer and the dryer is $1000. Therefore, we can write the equation:
Cost of washer + Cost of dryer = $1000
(x + $175) + x = $1000
Now, let's solve for "x":
2x + $175 = $1000
Subtract $175 from both sides:
2x = $1000 - $175
2x = $825
Now, divide both sides by 2 to find the value of "x":
x = $825 / 2
x = $412.5
So, the cost of the dryer is $412.5.
Now, let's find the cost of the washer:
Cost of washer = Cost of dryer + $175
Cost of washer = $412.5 + $175
Cost of washer = $587.5
Therefore, the cost of the washer is $587.5.
In summary, the cost of the washer is $587.5, and the cost of the dryer is $412.5.
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A circle has a radius of 6 feet and a circumference of approximately 37.70 feet. Complete the sentence to describe
how to estimate the value of 7.
Move the correct answer to each box. Not all answers will be used.
6 12 37.70
To estimate the value of x, divide
37.70/12
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if you toss 3 coins whats the possibility of getting all to land on the same side?
=================================================
Explanation:
The probability of getting all heads is (1/2)*(1/2)*(1/2) = 1/8
The probability of getting all tails is 1/8 for identical steps as above.
The probability of getting all to land on the same side is 2*(1/8) = 1/4
7h-15h+40 = -72
What do I do after this to get a complete answer
Answer:
Let me finish it :
7h - 15h + 40 = -72
(7h - 15h) + 40 = -72
-8h + 40 = -72
-8h = -72 - 40
-8h = -112
h = 8
So the value of h is 8
━━━━━━━━━━━━━━━━━
Hope it helps!
Hey there!
7h - 15h + 40 = -72
COMBINE the LIKE TERMS
-8h + 40 = -72
SUBTRACT 40 to BOTH SIDES
-8h + 40 - 40 = -72 - 40
CANCEL out: 40 - 40 because it gives you 0
KEEP: -72 - 40 because it helps solve for the h-value
NEW EQUATION: -8h = -72 - 40
SIMPLIFY IT!
-8h = -112
DIVIDE -8 to BOTH SIDES
-8h/-8 = -112/-8
CANCEL out: -8/-8 because it gives you 1
KEEP: -112/-8 because it helps solve for the h-value (it gives you the result of it!)
NEW EQUATION: h = -112/-8
SIMPLIFY IT!
h = 14
Therefore, your answer is: h = 14
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Prove that the given lines are mutually perpendicular:
a) x/1=y-1/-2=z/3 and { 3x+y-5z+1=0, 2x+3y-8z+3=0 }
b) x=2t+1, y=3t-2, z=-6t+1 and { 2x+y-4z+2=0, 4x-y-5z+4=0 }
c) { x+y-3z-1=0, 2
An alternative way of solving this question is by finding the angle between the two given lines using the direction cosines of the lines. If the angle between the two lines is 90 degrees, then the lines are perpendicular.
We know that if the direction ratios of two lines are a, b, c and p, q, r, then the two lines are perpendicular if a*p+b*q+c*r=0. Here, direction ratios of given lines are 1, -2, 3 and 3, 1, -5. Now, multiplying the corresponding direction ratios and adding them up, we get: 1*3 + (-2)*1 + 3*(-5) = -10 ≠ 0. So, the two lines are not perpendicular. We know that if the direction ratios of two lines are a, b, c and p, q, r, then the two lines are perpendicular if a*p+b*q+c*r=0. Here, direction ratios of the first line are 2, 3, -6 and direction ratios of the second line are 2, -1, -5. Now, multiplying the corresponding direction ratios and adding them up, we get:
2*2 + 3*(-1) + (-6)*(-5) = 34
= 0. So, the two lines are perpendicular.
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