Answer:
(2a-b)(3c-d)
Please Hurry !!!!!!!A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? Select two options.
(–2, 0) and (2, 5)
(–4, 5) and (4, –5)
(–3, 4) and (2, 0)
(1, –1) and (6, –5)
(2, –1) and (10, 9)
Answer:
(–2, 0) and (2, 5)
(2, –1) and (10, 9)
Step-by-step explanation:
1. Find the slope of the what is considered perpendicular to -4/5. To do this, we simply use the reciprocal and multiply it by -1. Therefore, a perpendicular line would have a slope of 5/4.
2. Next, we can plug each of the ordered pairs into [tex]\frac{y2-y1}{x2-x1}[/tex] to see whether or not they have a slope of 5/4. We must do this to all of the ordered pairs until we find 2. Keep in mind that coordinates give you (x, y) in that order, so don't get the x's and y's confused. Additionally, it does not matter which coordinate goes first, just make sure that you get y2 and x2 from the same coordinate, and y1 and x1 from the same coordinate.
[tex]\frac{0-5}{-2-2}=\frac{-5}{-4}=\frac{5}{4}[/tex] The first answer![tex]\frac{5-(-5)}{-4-4}=\frac{0}{-8}[/tex] Not an answer[tex]\frac{4-0}{-3-2}=\frac{4}{-5}[/tex] Not an answer[tex]\frac{-1-(-5)}{1-6} =\frac{4}{-5}[/tex] Not an answer[tex]\frac{-1-9}{2-10} =\frac{-10}{-8}= \frac{5}{4}[/tex] The second answer!A rectangle has a side length of three and two sevenths centimeters and a side width of 4 centimeters. What is the area of the rectangle?ten and six sevenths cm2
thirteen and one seventh cm2
thirteen and five sevenths cm2
fifteen and one seventh cm2
The area of the rectangle is thirteen and one seventh cm2
What is the area of the rectangle?A rectangle is a four-sided object that has two widths and two lengths. The sum of angles in a rectangle is 360 degrees.
Area of a rectangle = length x width
3 2/7 x 4
23/7 x 4 = 92 / 7 = 13 1/7 cm²
We conclude that the area of the rectangle is (13 + 1/7) cm²
How to get the area of the rectangle?
For a rectangle of length L and width W, the area is:
A = L*W
Here we know that:
L = (3 + 2/7)cm
W = 4cm
Then the area is:
A = (3 + 2/7)cm*4cm = (12 + 8/7)cm² = (13 + 1/7) cm²
We conclude that the area of the rectangle is (13 + 1/7) cm²
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A single card is drawn from each of two decks of 52 cards. What is the probability of getting a heart from the first deck and then a diamond on the second deck?
The probability of getting a heart from the first deck and then a diamond on the second deck will be 6.25%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The probability of getting a heart from the first deck = 13/52.
And the probability of getting a diamond from the second deck = 13/52.
So, The probability of getting a heart from the first deck and then a diamond on the second deck will be,
Probability = (13/52) × (13/52) = 0.0625 = 6.25%
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Carmen drew this figure to represent the dividend of a division expression.
A number line going from negative 4 to positive 12. An arrow goes from 0 to 9.
What number is represented by the arrow?
The number represented by the arrow is 9 if each unit is represented by 1 option fourth is correct.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a number line shown in the picture.
As we can see each unit is represented by 1.
So after 2 there will be 3 and after 4 there will be 5 and so on.
So after 8, there will be 9 which is represented by the arrow.
Thus, the number represented by the arrow is 9 if each unit is represented by 1 option fourth is correct.
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Answer: 9
Step-by-step explanation:
The number line going from - 4 to + 12 represents the range of possible values for the dividend of the division expression. The arrow going from 0 to 9 indicates the actual value of the dividend. Therefore, the number represented by the arrow is 9.
What is the reason for statement 7 in the given proof? A. definition of midpoint B. definition of slope C. Parallel lines have equal slopes. D. using point-slope formula
The reason is using point slope formula.
The photo attached given below:
what is point slope formula?The equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line — compare slope-intercept form.
Now, we have to find the slope of AE, BF and CD.
We have to done this with help of coordinates.
So, we have to use point slope formula to find the slope of AE, BF and CD.
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Find how many numbers between 23^2 and 25^2.
Answer:
Step-by-step explanation:
We know that, 252 = 625
And, 262 = 676
Now, 676 - 625 = 51
So, there are 51 - 1 = 50 numbers lying between 252 and 262
GUYS PLEASE HELP WITH THIS PLEASE
Examine how sounds of music are related to trigonometric functions.
What does change of amplitude do? How about frequency?
Using graphs and equations, represent multiple transformations explaining their relevancy to the sound wave
The sounds of music are related to trigonometric functions because trigonometry is used in measuring the level of the pitch of a sound wave or musical note.
How is trigonometry used in sound?It should be noted trigonometry is important for measuring pitch level. The notes are measured in Hertz.
A sound wave's amplitude relates to the change in the pressure that's caused by the wave measured at a specific location.
The sound is perceived as louder when the amplitude increases.
Pieces of music often have repetitive choruses or bars, similar to patterns. In mathematics, we look for patterns to interpret and predict the unknown. Music uses the same techniques. If you look at a piece of music, artists look at the notes they see to find the rare (high or low) and uncommon notes.
In this way, the notes are related. Relationships are important in mathematics and create an interesting link between music and mathematics.
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The table below shows the amount of money spent on skin diving and scuba equipment in some recent years.
Skin Diving and Scuba Equipment
Year
Sales ($millions)
1993
315
1994
322
1995
328
1996
340
1998
345
1999
363
Let x represent the year and y represent the amount of sales, in millions of dollars, in the regression equation.
y = 7.36 x minus 14,354.33,
Use the regression equation to predict the sales of skin diving and scuba equipment in the year 2008.
a.
44,000,000
b.
440,000,000
c.
42,455,000
d.
424,550,000
Please select the best answer from the choices provided
A
B
C
D
Mark this and return
The sales of skin diving and scuba equipment in the year 2008 is (d) 424,550,000
How to predict the sales in 2008?The regression equation is given as;
y = 7.36x - 14,354.33
In 2008, the value of x is
x = 2008
So, we have:
y = 7.36 * 2008 - 14,354.33
Evaluate
y = 424.55
Hence, the sales of skin diving and scuba equipment in the year 2008 is (d) 424,550,000
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The sales of skin diving and scuba equipment in the year 2008 is (d) 424,550,000.
We have given that,
The table below shows the amount of money spent on skin diving and scuba equipment in some recent years.
How to predict the sales in 2008?The regression equation is given as
y = 7.36x - 14,354.33
In 2008, the value of x is
x = 2008
So, we have y = 7.36 * 2008 - 14,354.33
Evaluate y = 424.55
Hence, the sales of skin diving and scuba equipment in the year 2008 is (d) 424,550,000
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Which set of values could be the side lengths of a 30-60-90 triangle?
Answer is B.
Step-by-step explanation:
Since we know that in 30-60-90 triangle, the side corresponding to angle 90 degrees is two times the length of side corresponding to 30 degree angle. The length of side corresponding to 60 degree angle is times the length corresponding to 30 degree angle.
We can see from our given choices that the side corresponding to 30 degree angle is 5 units.
Therefore, the side lengths of a 30-60-90 triangle will be and option B is the correct choice.
PLS MARK ME AS BRAINLIEST.
the exppreson of 10x^2-7
The complete question is :
Question: What is the coefficient in the expression 10x²-7?
The coefficient in the expression [tex]10x^{2} -7[/tex] is 10
What is Coefficient?A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
According to the question,
The expression given is [tex]10x^{2} -7[/tex]
The variable given is x
We need to find the coefficient in the expression.
In the given expression x is the variable and the number before the x is coefficient which is 10 .
Hence the coefficient in the expression is 10.
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Ohm's law states that the current (I) in amps equals the voltage (E) in volts divided by the resistance (R) in ohms. If you connect a 2 megohm resistor (2× 10^6 ohms) across a 2.4 kilovolt voltage source (2.4×10^3 volts),what would be the current in amps?
Ohm's law states that the current (I) in amps equals the voltage (E) in volts divided by the resistance (R) in ohms. The current in the amp is 1.2 × 10⁻³.
What is Ohm's Law?Ohm's law states that the current (I) in amps equals the voltage (E) in volts divided by the resistance (R) in ohms.
The current in amps = (2.4×10³ volts)/(2× 10⁶ ohms)
= 1.2 × 10⁻³ amp
Hence, the current in the amp is 1.2 × 10⁻³.
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Solve −x+5≤4 or 2x+3≥−1 and write the solution in interval notation.
Answer:
Step-by-step explanation:
[tex]\left \{ {{-x+5\leq 4} \atop {2x+3\geq -1}} \right.[/tex] ⇒ [tex]x\geq 1\\2x\geq 4\\x\geq -2[/tex]
or
[tex]x \geq -2\\(-2,+ { \infty} )[/tex] (Answer)
Okay last question, I’ll mark brainliest whoever gets it correct first
Answer:
Angle ABC = 112°
Step-by-step explanation:
THAT IS CORRECT TRUST ME
-11-(-5)
————-
2x3
is an example of
A. a numerical equation
B. a numerical expression
C. an algebraic expression
D. an algebraic equation
Answer:
B.a numerical expression
HELP pls. Which statement correctly demonstrates using limits to determine a vertical asymptote of
Answer:
Step-by-step explanation:
A certain field is a rectangle with a perimeter of 1030 feet. The length is 181 feet more than the width. Find the width and length of the rectangular field.
Step-by-step explanation:
the perimeter is
2×length + 2×width = 1030 ft
length + width = 515 ft
length = width + 181
now we use that in the first equation :
(width + 181) + width = 515
2×width + 181 = 515
2×width = 334
width = 167 ft
because of
length = width + 181
length = 167 + 181 = 348 ft
The width and length of the rectangular field are 165.5 ft and 346.5 ft respectively.
Concept: Perimeter is the sum of the length of all sides of a figure/solid.
Given: Length = 181+width
Let width be equal to 'width' ft
Perimeter= 1030 feet
In a rectangle there are 2 length and 2 width so the perimeter of a rectangle is equal to 2*(181+ width) + 2width = 362 + 2width + 2 width = ⇒362 + 4width =1030 ft
4width = 662 ( on transposing)
width= 165.5 ft
length= 181+ 165.5 ft
length = 346.5 ft
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What is the product?
(3a²b7)(5a³b³)
O 8a5b15
O 8a6b56
O 15a³b¹5
O 15a5b56
Answer:
15a^5 b^10
Step-by-step explanation:
The product is 15a⁵b¹⁰.
What is an exponent?Exponentiation is one of the mathematics operations.
Let mᵃ, where m and a are the real numbers.
And m is multiplied by a times to itself.
So, a is the exponent of m.
When multiplying two terms with the same base, you add the exponents. Therefore:
(3a²b⁷)(5a³b³) = 3 x 5 x a⁵ x b ¹⁰
= 15a⁵b¹⁰.
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Discrete Math please help
Considering the given operations, the discrete sets are given as follows:
A = {1,3,5,6,7,8,9}.B = {2,3,6,9,10}.What is operation A - B?It is the operation of elements that are in set A but not in set B, hence, since A - B = {1, 5, 7, 8}, we have that:
A = {1,5,7,8}
What is operation B - A?It is the operation of elements that are in set B but not in set A, hence, since B - A = {2,10}, we have that:
B = {2,10}
What is the intersection operation?It contains the elements that are in both sets, hence, since [tex](A \cap B) = \{3,6,9\}[/tex], we have that the sets are completed as follows:
A = {1,3,5,6,7,8,9}.B = {2,3,6,9,10}.More can be learned about discrete math at https://brainly.com/question/13309484
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Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ALMNOPQ?
Check all that apply.
M
AA
A. HL
B. SAS
C. AAS
D. ASA
E. LA
F. LL
Answer:
It has been a while. I think it is ASA and AAS
The triangles ΔLMN and ΔOPQ are congruent triangles by the ASA and AAS postulates
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔLMN
Let the second triangle be represented as ΔOPQ
Now , the measure of ∠MNL = 90°
The measure of ∠PQO = 90°
And , the measure of side MN = measure of side PQ
And , the measure of ∠MLN = measure of ∠POQ
So , the two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Therefore , the triangles are congruent by AAS and ASA theorems
Hence , the ΔLMN and ΔOPQ are congruent triangles
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Vector g is shown below.
Vector h is parallel to g, in the same direction and
half as long.
Work out h as a column vector.
9
Answer:
h = [tex]\left[\begin{array}{ccc}5\\1\\\end{array}\right][/tex]
Step-by-step explanation:
g = [tex]\left[\begin{array}{ccc}10\\2\\\end{array}\right][/tex] , then
h = [tex]\frac{1}{2}[/tex] [tex]\left[\begin{array}{ccc}10\\2\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5\\1\\\end{array}\right][/tex]
Please help and show the steps.
How do you figure out the equation to graph it
g(x)=(x-1)^2-1
Answer:
Graph of the given equation is a opening up parabola passing through origin (0,0) and (2,0) and having vertex (1,-1)
Step-by-step explanation:
parabola - it is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.
vertex - The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.
the given equation can be resolved as:
[tex]g(x)=(x-1)^2-1\\g(x) = x^2 -2x +1 -1\\g(x) = x^2 - 2x[/tex]
now substituting x = 0,
[tex]g(x) = x^2 - 2x\\g(x) = (0)^2- 2(0)\\g(x) = 0[/tex]
therefore the equation satisfies the point (0,0)that is origin.
now putting g(x) = 0,
[tex]g(x) = x^2 - 2x\\0 = x^2- 2x\\2x = x^2\\2=x[/tex]
so when y coordinate is 0 x coordinate is 2,
therefore the equation also satisfies the (2,0)
general equation of a parabola is
[tex]f(x) = ax^2 + bx + c[/tex]
and the vertex of the parabola is given by [tex]\frac{-b}{2a}{,}{f{(}\frac{-b}{2a}{)}}[/tex]
given equation of parabola [tex]g(x) = x^2 - 2x[/tex]
here a = 1 and b= -2
substituting in the vertex formula,
vertex of the parabola is [tex]{(}{1}{,}{f{(}{1}{)}}{)}[/tex]
[tex]f(1) = 1 - 2 = -1[/tex]
therefore the vertex is (1,-1).
so the parabola is passing through origin(0,0) and (2,0) with vertex (1,-1).
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Difficult one. Need help with work shown.
Answer:
the length of the fence = 420 ft
The total area = 8000 ft²
Step-by-step explanation:
the fence has the same length as the perimeter of the rectangle
then
the length of the fence = 2×(160+50) = 420 ft
………………………………………………………………
The total area enclosed by the fencing = the area of the rectangle
Then
The total area = 160×50 = 8000 ft²
Answer:
see explanation
Step-by-step explanation:
the perimeter (P) of a rectangle is calculated as
P = 2(length + width)
= 2(160 + 50)
= 2 × 210
= 420 ft ← amount of fencing needed
the area (A) of a rectangle is calculated as
A = length × width = 160 × 50 = 8000 ft²
What expression is equivalent to ten square root five
The expression 10√5 can be written as √500 because √(10×10) = 10 option (A) √500 is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an expression:
= 10√5
We can write the above equation:
= √(10×10×5)
Because √(10×10) = 10
= √(100×5)
= √500
Thus, the expression 10√5 can be written as √500 because √(10×10) = 10 option (A) √500 is correct.
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The lateral area of a right cone which has a base diameter of 4 units and a height of 10 units is:
Answer:
Step-by-step explanation:
Raul's pet store has a play area that can fit up to 30 cats and dogs. His son is allergic to cats so the pet store never has more than 8 cats in the play areas.
How many of each type of pet can they have at the
pet store?
Write a system of inequalities.
Answer:
Step-by-step explanation:
Let :
C = number of cats
D = number of dogs
Raul's pet store has a play area that can fit up to 30 cats and dogs.
C + D = 30
The pet store never has more than 8 cats in the play areas.
C < 9(there can never be 9 or more cats)
As or the number of dogs :
C + D = 30
C = 30 - D
Since we know that C < 9. To get the number of dogs allowed, we just plug in 30 - D for C.
30 - D < 9
30 - 9 < D
or
D > 21
(dogs have to be 22 or more)
Simplify the expression by combining like
terms: Algebra 1
Answer:
The number in the green box should be 3.
Step-by-step explanation:
[tex]c + 4 {c}^{2} - 2 + 2c - {c}^{2} + 5 = 3 {c}^{2} + 3c + 3[/tex]
A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.77 hours. Assume that a random sample of 40 mechanics is selected and the mean rebuild time of the sample is computed. Assuming the rebuilding times are normally distributed, what percentage of sample means is greater than 8.8 hours? Express your answer as a percent rounded to hundredths of a percent.
Using the normal distribution, it is found that 7.64% of of sample means are greater than 8.8 hours.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters are given as follows:
[tex]\mu = 8.4, \sigma = 1.77, n = 40, s = \frac{1.77}{\sqrt{40}} = 0.2799[/tex]
The proportion of sample means greater than 8.8 hours is one subtracted by the p-value of Z when X = 8.8, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{8.8 - 8.4}{0.2799}[/tex]
Z = 1.43
Z = 1.43 has a p-value of 0.9236.
1 - 0.9236 = 0.0764.
7.64% of of sample means are greater than 8.8 hours.
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In a random sample of 250 students, 150 were in favor of longer hours at the school library. At 98% level of confidence, what is the margin of error?
Select one:
0.051
0.080
0.065
0.072
0.078
0.061
0.072 is the margin of error.
What is standard error?The standard error (SE) of a statistic is the standard deviation of its sampling distribution or an estimate of that standard deviation.
According to the question,
In a random sample of 250 students,
p= 0.98 (or 98%) were in favor of longer hours at the school library.
The standard error of p(the sample proportion) is (approximately)
The standard error of p = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
p = 0.98
1 - p = 1 - 0.98 = 0.02
Here,
n = 250
The standard error of p = [tex]\sqrt{ \frac{0.98 (0.02) }{250}[/tex]
The standard error of p ≈ 0.072
Therefore,
The margin of error is 0.072.
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Which of the following is the conjugate of the expression below when x>-2?
6+√x+2
OA. 6+√x+2
B. 6-√x-2
C. 6-√√x+2
D. 6+√x-2
Question 1
Kapoor Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $86.50 per batch
Assembling products $4.63 per assembly hour
Processing customer orders $52.16 per customer order
Data concerning two products appear below:
Product J00A Product S06U
Number of batches 34 43
Number of assembly hours 105 812
Number of customer orders 17 32
Required:
a. How much overhead cost would be assigned to Product J00A using the company's activity-based costing system?
b. How much overhead cost would be assigned to Product S06U using the company's activity-based costing system?
Overhead Cost:
There are some expenses incurred at the time of manufacturing of products and services that are not directly attributable to the finished products. These expenses are known as manufacturing overheads or indirect expenses.
The overhead cost would be assigned to Product J00A using the company's activity-based costing system is $4313.87.
How to calculate the cost?The overhead cost that would be assigned to Product J00A using the company's activity-based costing system will be:
= ($86.50 × 34) + ($4.63 × 105) + ($52.16 × 17)
= $2941 + $486.15 + $886.72
= $4313.87
The overhead cost would be assigned to Product S06U using the company's activity-based costing system will be:
= ($86.50 × 43) + ($4.63 × 812) + ($52.16 × 32)
= $3719.50 + $3759.56 + $1669.12
= $9148.18
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