Answer:
Zack is correct
Step-by-step explanation:
when we plot out all the points we see that not all sides are the same length, which is techinally defines a square. Because of the different sides lengths we know it is a rhombus.
Josh was correct as the figure is Square.
What is Distance Formula?In a Cartesian plane there are two points P(a, b) and Q(c, d) then the distance between two points
PQ = √(c- a)² + (d- b)²
We have the coordinates F(2, 2) O(5, -2) U(9, 1) and R(6, 5).
Now using Distance Formula
FO = √(-2 - 2)² + (5- 2)² = √16 + 9 = √25 = 5 unit
OU = √(1 + 2)² + (9-5)² = √9 + 16 = √25 =5 unit
UR = 5 unit
RF = 5 unit
and, FU = √(1 -2)² + (9- 2)² = √1 + 49 = √50 = 5√2
OR = √(5+2)² + (6-5)² = √49 +1 = 5√2
So, the given figure is square because the length of Diagonal are equal.
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Which one of the following reasons does NOT explain why 2x + 3y ≠ 5xy?
Answer:
Since 2 and 3 are factors, they should be multiplied to get 6xy.
Step-by-step explanation:
The solution is Option B.
Since 2 and 3 are factors, they should be multiplied to get 6xy and the equation is False
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
2x + 3y ≠ 5xy
a)
If you substitute 4 for x and 5 for y in the expression 2x+3y, it does not equal 5(4)(5)
Substituting the value of x = 4 and y = 5 in the equation , we get
2 ( 4 ) + 3 ( 5 ) ≠ 5 ( 4 ) ( 5 )
8 + 15 ≠ 100
23 ≠ 100
Therefore , the statement is True
b)
Since 2 and 3 are factors, they should be multiplied to get 6xy
2x ( 3y ) = 6xy
But the equation does not equals 6xy
Hence , the statement is False and does not explain the given equation
c)
x and y are not like terms
The statement is true because the variables x and y are not the same
Therefore , the statement is True
d)
Adding x and y is not the same as multiplying x and y
The value of the equation x + y = x + y and on multiplying x and y = xy
And , x + y ≠ xy
Therefore , the statement is True
Hence , the equation 2x ( 3y ) = 6xy is False
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11. Make Sense and Persevere The sum of four
consecutive integers is –18. What is the greatest
of these integers?
Answer:
-3
Step-by-step explanation:
4n+ 6 = -18
4n=-24
n = -6
-6,-5,-4,-3
largest is -3
Answer:
\(\displaystyle -3\)
Step-by-step explanation:
\(\displaystyle -18 = 6 + 4n → \frac{-24}{4} = \frac{4n}{4} \\ \\ -6 = n \\ \\ \\ -6, -5, -4, \boxed{-3}\)
Hence, you have your answer.
I am joyous to assist you at any time.
11r-12r+15
combine like terms
Answer:
-r+15
Step-by-step explanation:
To make 4 batches of cupcakes, it takes 6 cups of flour. How many cups of flour are needed for 1 batch?
Answer:
1.5
Step-by-step explanation:
First you divide 6 by 4. It looks like this 6/4.
Then you get 1.5 cups of flour.
Good Luck!
Answer:
3/2 cups
Step-by-step explanation:
4 batches = 6 cups
1 batch of cupcakes = (6/4) cups of flour.
hence, 3/2 cups of flour are needed for 1 batch.
Can someone plz tell me what 3(2−0.9h)+(−1.3h−4) =
Round 88,855 to the nearest hundred.
Answer:
88,900
Step-by-step explanation:
:) hope this helps! give it a like!
Answer:
88,900
Step-by-step explanation:
you are rounding 88,855 to the nearest hundred so you really just need to look at the hundred's place
855 rounded to the nearest hundred is 900 (round your 8 to 9 since the tens place is a 5 or above)
8 ÷ 28 *has to be in decimal form*
Answer: 0.28571428571
Step-by-step explanation: 8 dived by 28
6. This solid is a composite of a cube and square pyramid. The base of the solid is the base of the cube. Find the surface area for the solid
Answer:
960 ft^2
Step-by-step explanation:
There are 9 surfaces forming the solid.
5 of them are congruent squares and 4 of them are congruent triangles.
area of square = (side)^2
area of triangle = (base)(height)/2
total surface area = 5 * area of square + 4 * area of triangle
A = 5 * (12 ft)^2 + 4 * (12 ft * 10 ft)/2
A = 5 * 144 ft^2 + 4 * 60 ft^2
A = 720 ft^2 + 240 ft^2
A = 960 ft^2
This solid is a composite of a cube and square pyramid. the total surface area of the solid is 960 ft^2.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of square = (side)^2
We know that
The area of triangle = (base)(height)/2
So,
The total surface area = 5 x area of square + 4 x area of a triangle
A = 5 x (12 ft)^2 + 4 x (12 ft x 10 ft)/2
A = 5 x 144 ft^2 + 4 x 60 ft^2
A = 720 ft^2 + 240 ft^2
A = 960 ft^2
Thus, The total surface area of the solid is 960 ft^2.
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what is the probability of getting all tails? express your answer as a simplified fraction or a decimal rounded to four decimal places.
The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.
Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.
To calculate the probability of getting all tails in three flips, we need to multiply the probabilities of getting tails on each individual flip. Since the flips are independent events (i.e. the outcome of one flip does not affect the outcome of another flip), we can simply multiply the probabilities together:P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)
= (1/2) x (1/2) x (1/2)
= 1/8
Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.
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Woodworkers Alex and Brandon make precision pieces for toys. Each toy requires four 9-inch long sticks. Alex cuts four sticks one at a time, and their lengths are independent. Alex’s sticks have mean length 9 inches with a standard deviation 0.17 inches. Brandon clamps four sticks together and cuts them all at once, so that they all have the same length. Brandon’s sticks also have a mean length of 9 inches with a standard deviation of 0.17 inches. Brandon’s four sticks are laid end-to-end. What is the mean of the total length? What is the standard deviation of the total length? The mean of the total length is inches. The standard deviation of the total length is inches.
The mean of the total length is 36 inches, and the standard deviation is 0.17 inches. This means that on average, the total length of the sticks will be 36 inches, and there will be a variation of approximately 0.17 inches around this mean length.
The mean of the total length for both Alex and Brandon can be determined by multiplying the mean length of a single stick by the number of sticks required for each toy. In this case, each toy requires four 9-inch long sticks.
Mean of the total length for both Alex and Brandon: 4 sticks * 9 inches = 36 inches.
Since both Alex and Brandon have sticks with the same mean length and standard deviation, the standard deviation of the total length for both of them remains the same.
Standard deviation of the total length for both Alex and Brandon: 0.17 inches.
Therefore, The mean of the total length is 36 inches, and the standard deviation is 0.17 inches. This means that on average, the total length of the sticks will be 36 inches, and there will be a variation of approximately 0.17 inches around this mean length.
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A veterinarian has been asked to prepare a diet, x ounces of Brand A and y ounces of Brand B, for a group of dogs to be used in a nutrition study at the School of Animal Science. It has been stipulated that each serving should be no larger than 8 oz and must contain at least 29 units of Nutrient I and 20 units of Nutrient II. The vet has decided that the diet may be prepared from two brands of dog food: Brand A and Brand B. Each ounce of Brand A contains 3 units of Nutrient I and 4 units of Nutrient II. Each ounce of Brand B contains 5 units of Nutrient I and 2 units of Nutrient II. Brand A costs 5 cents/ounce, and Brand B costs 7 cents/ounce. Determine how many ounces of each brand of dog food should be used per serving to meet the given requirements at a minimum cost. (x,y)=... What is the minimum cost? (Round your answer to the nearest cent.) ..... cents per serving
To meet the given requirements 3 ounces of Brand A and 4 ounces of Brand B should be served , the minimum cost is $43 .
In the question ,
it is given that ,
the each serving should not be larger than 8oz .
let the number of Ounces of Brand A food = x , and
let the number of ounces of brand B = y ,
So , x + y ≤ 8
Brand A has 3 units of Nutrient 1 and 4 units of Nutrient 2 , and
Brand B has 5 units of Nutrient 1 and 2 units of Nutrient 2 ,
So , 3x + 5y ≥ 29 ,
and 4x + 2y ≥ 20,
and x , y ≥ 0 .
given, that
cost of Brand A = 5 cents/ounce
cost of Brand B = 7 cents/ounce
So , the cost equation is c(x) = 5x + 7y ,
drawing the given inequalities on the graph ,
From the graph given below , we find that the vertices of the feasible region are ,
(2,6) , (5.5,2.5) , (3,4)
Substituting the points in the cost equation , we get
For point (2,6) , C = 5(2) + 7(6) = 10 + 42 = 52
For point (3,4), C = 5(3) + 7(4) = 15 + 28 = 43
For point (5.5,2.5) , C = 5(5.5) + 7(2.5) = 45 ,
the minimum cost is at point (3,4) ,
So , 3 ounces of Brand A and 4 ounces of Brand B should be used .
Therefore , To meet the given requirements 3 ounces of Brand A and 4 ounces of Brand B should be served , the minimum cost is $43 .
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The sneaker shack is offering a 20% discount on sneakers. the pair of sneakers that hat mikey wants costs $25.00 what is the sale price
With a 20% discount on sneakers that originally cost $25.00, the sale price can be calculated by subtracting 20% of $25.00 from the original price. The sale price of the sneakers is $20.00.
To calculate the sale price of the sneakers, we need to apply the 20% discount to the original price of $25.00. To find the discount amount, we calculate 20% of $25.00, which is (20/100) * $25.00 = $5.00. This means the discount on the sneakers is $5.00.
To determine the sale price, we subtract the discount amount from the original price. In this case, $25.00 - $5.00 = $20.00. Therefore, the sale price of the sneakers is $20.00.
The discount of 20% reduces the price by one-fifth of the original price, which is a significant reduction. It is important to note that the discount percentage may vary depending on the specific promotion or offer available at the Sneaker Shack.
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Rafael, Denise, and Philippe are doing a project together. They decide to base the project on a book that is 540 pages long. Rafael plans to read a certain number of pages. Denise will read Three-fourths of the number of pages Rafael reads, and Philippe will read One-half of the number of pages that Rafael reads. How many pages will Rafael read?
180
240
300
432
Answer:
Rafael will read 240 pages.
Step-by-step explanation:
Let's start by setting up the unknowns:
x = # of Rafael's pages
x/2 = # of Philippe's pages
(3/4)x = # of Denise's pages
Set these all equal to 540:
(x) + (x / 2) + (3/4(x)) = 540
Let's multiply both sides by 4 to make this easier.
4x + 2x + 3x = 2160
9x = 2160
x = 240
x was the # of Rafael's pages, so Rafael will read 240 pages. This means that Philippe will read 120 pages (one-half of Rafael), and Denise will read 180 pages (three-fourths of Rafael). Adding these all up will get you 540 pages, so it checks out.
Hope this helps!
In circle E, the measure of the indicated angle AEC is 243.5°. Lines AD and DC are tangent lines.
Answer:
Step-by-step explanation:
M < AEC = 360 - 243.5 = 116.5 degrees.
m < AED and ECD = 90 degrees
m < ABC = 1/2 * 116.5 = 58.25 degrees.
m < ADC = 360 - 2*90 - 116.5 = 63.5 degrees.
the full screen guys
Answer:
(-2 2/3,0)
(0,2)
Step-by-step explanation:
Just did it
Answer:
Step-by-step explanation:
the two points are(0,2), (-8/3,0)
hey free 100 points :) (not really) please help!
Complete the square in the quadratic function f given by
f(x) = 2x2 - 6x + 4
Answer: x = 2, 1
Step-by-step explanation:2x^2 - 6x + 4 = 0
Firstly, simplify. Divide by 2 to get
2(x^2-3x+2) = 0
Move the constant to the other side.
2(x^2-3x) = -2
Divide the x term by 2 and square it
-3/2^2 = 9/4
Add this result to both sides.
2(x^2-3x+9/4) = 1/4.
Put the perfect sq on both sides
2(x-3/2)^2=1/4
Then solve the equation:
take the sqrt of both sides and isolate x for each solution
x-3/2= +/-1/2
x = 3/2 + 1/2
x= 3/2-1/2
x= 2, 1
Which type of parent function does the equation f(x) = vc represent?
O A. Reciprocal
O B. Cube root
O C. Square root
O D. Absolute value
Answer: D: absolute value
Step-by-step explanation:
The parent function does the equation f(x) = √c represent is,
⇒ Square root
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ f (x) = √ c
Now, We get;
The parent function does the equation f(x) = √c represent is,
⇒ Square root
Because its write in square root.
Thus, The parent function does the equation f(x) = √c represent is,
⇒ Square root
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Solve for x. Make sure to show all your work.
LaTeX: -(-2x-2)=2+4x
Answer:
x=0
Step-by-step explanation:
-(-2x-2)=2+4x
Distribute the negative:
2x+2=2+4x
Subtract 2 from both sides:
2x=4x
Subtract 2x from both sides:
0=2x
Divide by 2 on both sides:
0=x
1. Express 5(cos135
∘
+jsin135
∘
) in the exponential form. 2. In the following equations, when converting to polar forms, give the distance from the origin as well as the angle from the positive R axis. (a) 3(cos232
0
+jsin232
0
) (b) 2(cos240
∘
+jsin240
∘
)
The exponential form of the given complex number is 5e^(i135°).
Expressing 5(cos135° + jsin135°) in exponential form:
To convert the given complex number to exponential form, we use Euler's formula, which states that e^(ix) = cos(x) + isin(x). Here, we have 5(cos135° + jsin135°), so let's apply Euler's formula:
5(cos135° + jsin135°) = 5e^(i135°)
The exponential form of the given complex number is 5e^(i135°).
To convert from the trigonometric form (cosθ + jsinθ) to exponential form, we utilize Euler's formula. In Euler's formula, e^(ix) represents the exponential form of cos(x) + isin(x), where e is the base of the natural logarithm and i is the imaginary unit.
In this case, the angle is 135°, so we substitute θ = 135° into Euler's formula:
e^(i135°) = cos(135°) + isin(135°)
Using the trigonometric identities, we can calculate cos(135°) and sin(135°):
cos(135°) = -√2/2
sin(135°) = √2/2
Thus, the exponential form becomes:
5e^(i135°) = 5(-√2/2 + i√2/2)
The complex number 5(cos135° + jsin135°) can be expressed in exponential form as 5e^(i135°), where e is the base of the natural logarithm. The calculation involved substituting the angle into Euler's formula and simplifying the trigonometric functions to determine the real and imaginary components.
Note: The following equations mentioned in your question were not provided:
(a) 3(cos232° + jsin232°)
(b) 2(cos240° + jsin240°)
Without the equations, it is not possible to provide the polar forms or calculate the distance from the origin and angle from the positive R axis.
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A jet travels 570 miles in 2 hours. At this rate, how far could the jet fly in 11 hours? What is the rate of the speed of the jet.
Answer:
the jet could fly 2565 miles in 9 hours
the rate is hours:miles 1:285
Step-by-step explanation:
you do 570/2=285
then you multiply the answer by 9
Answer:
The distance flown in 11 hours is 3135 miles.The rate of speed of the jet is 285 mph.Step-by-step explanation:
Given: A jet travels 570 miles in 2 hours. 11 hours = ___
To find: At this rate, how far could the jet fly in 11 hours? What is the rate the speed of the jet?
Formula: Distance = rate × time. Speed = distance ÷ time.
Solution:
Part 1: The rate/speed of the jet:-
Use the formula to solve:
r (rate) × 2 (hours) = 570 (distance)
r =\(\frac{570}{2}\)
r = 285 miles per hour
The rate of speed of the jet is 285 mph.
Part 2: How far the jet could fly in 11 hours:-
Then, to find out the distance flown in 11 hours;
285 (rate) × 11 (time) = d (distance)
285 × 11 = d
3135 = d
The distance flown in 11 hours is 3135 miles.
the distance traveled,d, and the speed,s which is dependent and which is the independent variable
Step-by-step explanation:
Speed is independent and distance is dependent
Distance depends on the speed
Speed influences the distance
an engineer designs an improved light bulb. the previous design had an average lifetime of 1,200 hours. the new bulb had a lifetime of 1,200.2 hours, using a sample of 40,000 bulbs. although the difference is quite small, the effect was statistically significant. the most likely explanation is
The engineer's improved light bulb likely has a statistically significant longer lifetime than the previous design, with a small but measurable difference of 0.2 hours.
Statistical significance refers to the probability that the observed difference between two groups (in this case, the old light bulbs and the new ones) is not due to chance alone. If the probability is low enough, we can confidently reject the null hypothesis (that there is no difference between the two groups) and conclude that there is a real difference between them.
In this case, a sample size of 40,000 bulbs is quite large, which increases the statistical power of the test and allows for even small differences to be detected as significant. The fact that the new bulb had a slightly longer lifetime of 1,200.2 hours, compared to the old bulb's average lifetime of 1,200 hours, suggests that the engineer's design improvement was successful in making the bulb last longer.
However, it's important to note that while the effect is statistically significant, the practical significance may be less clear. A difference of 0.2 hours may not make a noticeable impact on the bulb's usefulness or longevity in real-world scenarios. Additionally, other factors such as cost or energy efficiency may also need to be considered when evaluating the success of the new design.
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The equation of this type of line is y = kx. what is special about k? k is the change in the y-values. k is the change in the x-values. k is the slope of the line.
The equation of the line is \(y = kx\) . The special thing about k in this equation is that, it is the slope of the line.
Slope of Line: It is the measure of the steepness. It is calculated as 'rise over run' means change in y divided by x.
Equation of a line using slope-intercept form is:
y = ax + b
where,
a is the slope of the line.b is the y-intercept of the line.Here, in the equation \(y = kx\)
k = slope of the line
and y-intercept is zero
Therefore, the special about k in the equation is that k is the slope of the equation \(y = kx\).
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Two boys together have $12. One of them has $10 more than the other. How much money does each of them have
A purse originally cost $45.99. This week, it is on sale for 25% off.
What is the sale price of the purse?
A $11.50
B. $18.40
C. $25.00
D. $34.49
Answer: A
Step-by-step explanation:
Will give brainliest to the correct answer, complete with an in-depth explanation. Thank you!
Answer:
\(x \in [1, 6)\)
Step-by-step explanation:
Because the function is decreasing:
\(g(x_1) > g(x_2) \iff x_1 < x_2\)
So:
\(g(x^2) > g(5x + 6) \iff x^2 < 5x + 6\\x^2 < 5x + 6\\x^2 - 5x - 6 < 0\\x^2 - 5x + 6.25 - 12.25 < 0\\x^2 - 2\cdot 2.5x + 2.5^2 < 12.25\\(x - 2.5)^2 < 12.25\\x - 2.5 \in (-3.5; 3.5)\\x \in (-1; 6)\\\)
Combining that with the domain \(D_g = [1; \infty )\)
\(x \in [1, 6)\)
What is the name of the segment inside the large triangle?
1. Perpendicular bisector
2.Midsegment
3.Angle Bisector
4.Median
The name of the segment inside the large triangle is called the: 3. angle bisector.
What is an Angle Bisector?The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.
The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.
A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.
Therefore, we can state that the name of the segment is: 3. angle bisector.
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If the curved surface area of a cylinder with height 15cm is 1320cm², find total surface area
Answer:
2552cm^2
Step-by-step explanation:
C.S.A=1320cm^2 ;r=?
h=15cm.
[C.S.A. = 2πrh]
(r=1320×7/660=14cm)
Now,
TSA of cylinder = 2πr (h + r) sq
TSA=2×22/7(15+14)=2552cm^2
what does the activity ratio measure in the value stream
The activity ratio in the value stream measures the efficiency of the production process by evaluating the ratio of value-added activities to non-value-added activities.
The activity ratio is a performance metric used in value stream mapping, which is a lean management tool for analyzing and improving the flow of materials and information in a production process.
It focuses on distinguishing value-added activities, which directly contribute to meeting customer requirements, from non-value-added activities, which do not add value but consume resources and time.
By calculating the activity ratio, organizations can assess the proportion of time and resources spent on value-added activities versus non-value-added activities.
A higher activity ratio indicates that a greater portion of resources is dedicated to value-added activities, indicating improved efficiency and reduced waste.
Conversely, a lower activity ratio suggests a higher proportion of resources being utilized for non-value-added activities, indicating potential areas for improvement and waste reduction.
The activity ratio serves as a valuable diagnostic tool for organizations to identify process inefficiencies, bottlenecks, and areas for improvement. By analyzing the activity ratio, organizations can streamline their processes, eliminate waste, and optimize resource allocation to enhance overall productivity and customer value.
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what is an equivalent expression
Answer:
1st option
Step-by-step explanation:
using the rules of logarithms
• log x + log y = log xy
• n logx ⇔\(x^{n}\)
given
2\(log_{2}\) 3 + \(log_{2}\) 3
= \(log_{2}\) 3² + \(log_{2}\) 3
= \(log_{2}\) 9 + \(log_{2}\) 3
= \(log_{2}\) (9 × 3)
= \(log_{2}\) 27