Answer:
The answer to your question is slope = -2
Step-by-step explanation:
Data
A = (5, 9)
B = (4, 11)
slope = m = ?
Slope means the steepness of a line.
Process
1.- Write the formula to calculate the slope
m = (y2 - y1) / (x2 - x1)
x1 = 5 y1 = 9 x2 = 4 y2 = 11
2.- Substitution
m = (11 - 9) / (4 - 5)
3.- Simplification
m = 2/-1
4.- Result
m = -2
Simplify to create an equivalent expression 8-4(-x+5)
Answer: 4x _ 12
Cheese
Decide whether each equation is true for all, one, or no values of x. 6x − 4 = -4 + 6x
Answer:
True for all values of x
The given equation 6x − 4 = -4 + 6x, is true for all values of x.
so, we get, each equation is true for all values of x.
Here, we have,
The equation 6x - 4 = -4 + 6x can be simplified as follows:
Subtracting 6x from both sides, we get:
-4 = -4
This equation states that -4 is equal to -4,
which is true for all values of x.
The equation holds true regardless of the value of x.
Therefore, the given equation is true for all values of x.
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How many more years will it take Inga to pay off the loan
Answer:the answer is 3 years or b
Step-by-step explanation:
I got it correct on ed 2021!
Please help
6x^2/7y*21yz/12xy
Answer: 3 /2 x^3y^3z
Answer:
Simplified, it equals (3x^3*y^3*z)/2
Step-by-step explanation:
There are cars, trucks, and motorcycles in our company parking lot. The ratio of cars to trucks to motorcycles is $4:3:2.$ If there are $42$ cars and trucks total, how many motorcycles are there?
Answer:
12
Step-by-step explanation:
The ratio of cars to trucks to motorcycles is $4:3:2.
If there are $42$ cars and trucks total,
To get how many motorcycles are there
Sum up the ratio of cars and trucks 4:3= 4+3 = 7
Sum up the ratio of cars and trucks and motorcycles
4+3+2 =9
Let the total number of cars and trucks and motorcycles be represented as A
The total number of cars and trucks in the question is 42
(7/9) x A = 42
7A/9 = 42
cross multiply
7A = 42×9 = 378
A= 378/7 = 54
The total number of cars and trucks and motorcycles is 54
To get the number of motorcycles can be calculated through
a. The total number of cars and trucks and motorcycles subtracted by the number of cars and trucks = 54-42=12 or use the ratio which is
2/9 × 54 = 2×6=12
Y= -5x+1
Y=3x-2
Is (3,8) a solution of the system
Final answer:
The point (3,8) does not satisfy either of the two equations y = -5x + 1 and y = 3x - 2, therefore it is not a solution to the system of equations.
Explanation:
To determine whether the point (3,8) is a solution to the system of equations given by y = -5x + 1 and y = 3x - 2, we need to substitute the x and y values of the point into both equations to see if the equations are satisfied.
For the first equation:
y = -5x + 1
8 = -5(3) + 1
8 = -15 + 1
8 ≠ -14
The point (3,8) does not satisfy the first equation because 8 does not equal -14.
For the second equation:
y = 3x - 2
8 = 3(3) - 2
8 = 9 - 2
8 = 7
The point (3,8) does not satisfy the second equation because 8 does not equal 7.
Since the point (3, 8) fails to satisfy both equations, it is not a solution to the system of equations.
Final answer:
The point (3,8) is not a solution to the system of equations y = -5x + 1 and y = 3x - 2, as it does not satisfy either equation when substituting the values of x and y.
Explanation:
The student is asking whether the point (3,8) is a solution to the system of linear equations:
y = -5x + 1
y = 3x - 2
To determine if (3,8) is a solution, we can substitute x with 3 and y with 8 into both equations and see if they hold true.
Substituting into the first equation:
8 = -5(3) + 1
8 = -15 + 1
8 ≠ -14
This does not hold true, so (3,8) is not a solution to the first equation.
Substituting into the second equation:
8 = 3(3) - 2
8 = 9 - 2
8 = 7
This also does not hold true, so (3,8) is not a solution to the second equation either.
Since (3,8) does not satisfy either of the given equations, it is not a solution to the system of equations.
18 students are going on a field trip, the bus can fit 14 so 4 of them will have to ride in a car. In how many ways can we chose the 4 students who must ride in the car?
Answer:
4
Step-by-step explanation:
The 4 youngest, the 4 oldest, the 4 shortest, the 4 tallest. Hope this helps.
Answer:
6
Step-by-step explanation:
Last 4First 4Fifth, Sixth,Seventh, and eighth kids.Eighth, nineth, tenth, eleventh. Tweleveth, Thirteenth, fourteenth, fifteenth.last one, second last, first, and second.Please help guys :((
Answer:
A) [tex]log_{5}(12)[/tex]
B) [tex]log_{8}(9)[/tex]
C) [tex]log_{9}(25)[/tex]
Step-by-step explanation:
Hello! I am going to walk you through how some simple rules regarding logs!
For A, we will use the 'AM' rule! When adding logs of the same base (in this case 5), you multiply the two answers (3 and 4)!
3 · 4 = 12, giving us [tex]log_{5}(12)[/tex]!
For B, we will use the 'SD' rule! When subtracting logs of the same base (in this case 8), you divide the two answers (9 and 5)!
9/5 = [tex]\frac{x}{5}[/tex] ; simplify! (9/5) x 5 = 9, giving us [tex]log_{8}(9)[/tex]!
For C, we will use the 'MS' rule! When multiplying a number times a logarithm, you can get the same argument by removing the coefficient (2) and squaring the log's answer (5)!
[tex]5^{2} = 25[/tex], giving us [tex]log_{9}(25)[/tex]!
I hope that this helps!
Find the perimeter and the area of the shape
5cm
6cm
7cm
8cm
Perimeter = [perimeter] cm
Area = (area] cm
The perimeter of the trapezoid is 26cm. Using the formula, the area is approximately 47.92cm², rounded to two decimal places.
To find the perimeter and area of the given shape, we first need to determine what type of shape it is. From the given measurements (5cm, 6cm, 7cm, and 8cm), it seems like a quadrilateral, specifically a trapezoid, as the lengths are not all equal.
To calculate the perimeter of the trapezoid, we simply add the lengths of all four sides:
Perimeter = 5cm + 6cm + 7cm + 8cm = 26cm
Now, to find the area of the trapezoid, we can use the formula:
Area = (1/2) × (sum of parallel sides) × (height)
First, let's determine the height of the trapezoid. Since it's not given directly, we can use the formula for the height of a trapezoid:
[tex]\[h = \sqrt{a^2 - (\frac{1}{2}(b_1 - b_2))^2}\][/tex]
Where:
- (a) and (b_1, b_2) are the lengths of the trapezoid's legs and bases, respectively.
Let's plug in the values:
[tex]\[h = \sqrt{6^2 - (\frac{1}{2}(8 - 5))^2}\][/tex]
[tex]\[h = \sqrt{36 - (\frac{1}{2}(3))^2}\][/tex]
[tex]\[h = \sqrt{36 - \frac{9}{4}}\][/tex]
[tex]\[h = \sqrt{\frac{135}{4}}\][/tex]
[tex]\[h = \frac{\sqrt{135}}{2}\][/tex]
Now, we can calculate the area using the formula:
[tex]\[Area = \frac{1}{2} \times (5 + 8) \times \frac{\sqrt{135}}{2}\][/tex]
[tex]\[Area = \frac{13}{2} \times \frac{\sqrt{135}}{2}\][/tex]
[tex]\[Area = \frac{13\sqrt{135}}{4}\][/tex]
So, the perimeter of the trapezoid is 26cm and the area is[tex]\(\frac{13\sqrt{135}}{4} cm^2\).[/tex]
A crop scientist is conducting research with a drought resistant corn hybrid. She is interested in determining if using fertilizer X will increase yield. She prepares 20 single acre plots and randomly assigns 10 to have normal soil while the other 10 are planted with fertilizer X. The resulting average yield for each group of 10 plots was recorded.
Select all that apply.
Choose at least one answer.
1 This study is best described as an experiment.
2 The response variable is whether the corn plants had fertilizer X or not.
3 The explanatory variable is whether the corn plants had fertilizer X or not.
4 This is best described as an observational study.
5 The response variable is the average yield for each group of 10 plots.
6 The explanatory variable is the average yield for each group of 10 plots.
Answer:
1 This study is best described as an experiment.
5 The response variable is the average yield for each group of 10 plots.
Step-by-step explanation:
1) This study is best described as an experiment.
This is true. This experiment indicates that study of the crops with or without fertilizers
2) The response variable is whether the corn plants had fertilizer X or not.
No the response variable is the yield
3) The explanatory variable is whether the corn plants had fertilizer X or not.
Sort of The explanatory variable is the fertilizer the levels would be whether or not it had the fertilizer
4) This is best described as an observational study.
No because they had an influence of using a particular fertilizer and a particular plot of land
5) The response variable is the average yield for each group of 10 plots.
Here we are using the fertilizers in order to increasing the yield of the crops So it clearly shows that growth of the corn hybrid depends upon the fertilizers(dependent or response variable)
6) The explanatory variable is the average yield for each group of 10 plots.
No the explanatory variable is the fertilizer
Henry buys 6 circus tickets for himself and five friends for a total of $174. Each friend pays Henry back for his or her ticket. If one of Henry's friends gives him two $20 bills, how much change should Henry return?
Answer:
$11
Step-by-step explanation:
According to the statement, you have that 6 tickets for the price of each ticket is equal to $174 and from that, you can determine the price of each ticket:
6*P=174
P= price of each ticket
P= 174/6= 29
Now, as it says that one of Henry's friends gives him two $20 bills, that means that he gives him $40 and you have to subtract the price of the ticket from that:
40-29= 11
The answer is that if one of Henry's friends gives him two $20 bills, Henry has to return $11.
Final answer:
The cost of one ticket is $29, and if a friend pays with two $20 bills, totaling $40, Henry should return $11 in change.
Explanation:
Henry buys 6 circus tickets for a total of $174. To determine the cost of each ticket, you divide the total cost by the number of tickets:
$174 ÷ 6 tickets = $29 per ticket.
When one of Henry's friends pays him back with two $20 bills, the friend gives Henry $40 in total. To find out how much change Henry should return, you subtract the cost of one ticket from the amount the friend gave:
$40 - $29 = $11.
Therefore, Henry should give his friend $11 in change.
What is 1+1 but multiplied by 2?
Answer:4
Step-by-step explanation:1+1 is 2 and 2x2 is 4
Circle O is shown. Line segments A O and B O are radii. Tangents A C and B C intersect at point C outside of the circle to form a kite. A line is drawn from point O to point C. The length of O B is 7. The length of O C is 25. What is the perimeter of kite ACBO?
Answer:
62
Step-by-step explanation:
Answer:
62 units
Step-by-step explanation:
this is the answer on edg 2020
What are the exact solutions of x2 = 5x + 2? (1 point)
50 point ill give brainliest
Group of answer choices
x = x equals 5 plus or minus the square root of thirty-three all over 2
x = x equals negative 5 plus or minus the square root of thirty-three all over 2
x = x equals 5 plus or minus the square root of seventeen all over 2
x = x equals negative 5 plus or minus the square root of seventeen all over 2
Answer:
A. x equals 5 plus or minus the square root of thirty-three all over 2
Step-by-step explanation:
Let's move all the terms to one side:
[tex]x^2=5x+2[/tex]
[tex]x^2-5x-2=0[/tex]
Now, we want to use the quadratic formula, which states that for a quadratic equation of the form [tex]ax^2+bx+c=0[/tex], the roots can be found with the equation: [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex].
Here, a = 1, b = -5, and c = -2, so plug these in:
[tex]x=\frac{-(-5)+\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5+\sqrt{25+8} }{2}=\frac{5+\sqrt{33} }{2}[/tex]
OR
[tex]x=\frac{-(-5)-\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5-\sqrt{25+8} }{2}=\frac{5-\sqrt{33} }{2}[/tex]
Thus, the answer is A.
Hope this helps!
Answer:
First one:
x = x equals 5 plus or minus the square root of thirty-three all over 2
Step-by-step explanation:
x² = 5x + 2
x² - 5x - 2 = 0
Using quadratic formula:
x = [-(-5) +/- sqrt[(-5)² - 4(1)(-2)]/2(1)
x = [5 +/- sqrt(33)]/2
you go to order ice cream sundae and there are lots of options! Each sundae includes one flavor of ice cream and one topping .There is strawberry, vanilla, and chocolate ice cream. You also get the choice of a topping. There are sprinkles, hot fudge, whipped cream or cookie crumbs. If you were to chose a sundae at random, find each probability.
1) P(Chocolate, sprinkles)
2) P( Vanilla, hot fudge)
3) P( Strawberry, cookie crumbs)
Answer:
2.) P(Chocolate, sprinkles)
Step-by-step explanation:
A lot of people choose chocolate ice cream over other flavors, and a lot of people also like sprinkles on their ice cream.
Identify the fallacies of relevance and weak induction committed by the following arguments. If no fallacy is committed, write "no fallacy." Todd Burpo, the best-selling author, argues in his book that heaven is real and that his son Colton met Jesus and John the Baptist in a near-death experience. But it’s clear that Burpo says these things only to sell lots of books. Therefore, his arguments have no merit.
The argument discrediting Todd Burpo uses an ad hominem fallacy and a fallacy of weak induction called circumstantial ad hominem, focusing on Burpo's potential financial gain instead of the validity of his claims.
The argument presented commits a couple of logical fallacies.
Firstly, it commits the ad hominem fallacy, which is a type of fallacy of relevance.
This fallacy occurs when the arguer attacks the person making the argument instead of the argument itself.
In this case, discrediting Todd Burpo because he has a financial motivation does not address the actual content of his claims about heaven.
Secondly, there's a fallacy of weak induction known as circumstantial ad hominem.
Here, the suggestion is that Burpo’s circumstances (wanting to sell books), rather than evidence, make his claims unworthy of consideration, which is an insufficient basis to deny the merits of his arguments.
While the argument does not prove the existence of a supernatural deity, dismissing it because of the author's potential financial gain uses inappropriate grounds that do not speak to the truth or falsity of the actual claim, thus making it an invalid critique.
The burden of proof demands that a claim be established through reason and evidence, and this fallacy does not appropriately engage with either.
The distribution of number of hours worked by volunteers last year at a large hospital is approximately normal with mean 80 and standard deviation 7. Volunteers in the top 20 percent of hours worked will
receive a certificate of merit. If a volunteer from last year is selected at random, which of the following is closest to the probability that the volunteer selected will receive a certificate of merit given that the
number of hours the volunteer worked is less than 90?
A 0.077
B 0.123
C 0 0.618
D 0.618
E 0.923
Answer:
B. 0.123
Step-by-step explanation:
You want the probability that hours are in the top 20% of a normal distribution with µ = 80 and σ = 7, if the number of hours worked is less than 90.
Z-scoresThe number of hours will be in the top 20% if it exceeds the 80th percentile. That value is found using the inverse normal distribution.
P(Z) > 0.8 ⇒ Z ≈ 0.8416
The Z-score associated with 90 hours is ...
Z = (X -µ)/σ = (90 -80)/7 ≈ 1.4286
ProbabilityThen the probability of interest is ...
P(0.8416 < Z < 1.4286) ≈ 0.1234
The probability the volunteer will receive a certificate is about 0.123, choice B.
__
Additional comment
We have found the probability indicated above, which matches one of the answer choices. The wording of the question suggests that a conditional probability is needed:
P(Z>0.8416 | Z<1.4286) . . . hours in top 20% given they are less than 90
That value would be ...
P(Z>0.8416 | Z<1.4286) = P(0.8416 < Z < 1.4286) / P(Z < 1.4286)
P(Z>0.8416 | Z<1.4286) = 0.1234/0.9234 ≈ 0.134
Suppose Best Buy, buys 26" LED TVs from SONY for $138 each. They charge 72% more than this in the store. How much does this TV cost in the store? *
Answer:
google 72 percent of 138$ boom asnwer
Step-by-step explanation:
Best Buy would sell the 26" LED TV, which they bought from SONY for $138 each, at $237.36 in the store after adding a 72% mark-up.
Explanation:The question is asking how much a 26" LED TV, bought by Best Buy from SONY for $138 each, would cost in the store if Best Buy charges 72% more than this. We can solve this problem using basic multiplication and addition.
First, calculate 72% of $138, which is $138 * 0.72 = $99.36. This is the amount added to $138 to get the price in the store.Next, add this amount to $138 to get the store price: $138 + $99.36 = $237.36.So, this 26" LED TV from SONY would cost $237.36 in Best Buy's store.
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Mr. Smith started his own business making sweatshirts. It costs him $15 for the sweatshirt, $3 for the designs, and $.50 for delivery. If he sells the sweatshirts for $26 in his store, what is the return on investment on each sweatshirt?
Answer:
$7.5 is the ROI on each sweatshirt
Step-by-step explanation:
In this question, we are asked to calculate ROI for a businessman who sells sweatshirts.
To calculate the profit we need to subtract the total cost incurred form manufacture to delivery and subtract bogus from the cost at which he sells the shirts.
Mathematically let’s calculate the cost from production to delivery.
That would be ;
$15 + $3 + $0.5 = $18.5
sales price is $26
His ROI will be $26 - $18.5 = $7.5
In circle N, KL ≅ ML.
What is the measure of Arc J M?
77°
90°
132°
154°
Answer:
es 132°
Step-by-step explanation:
KL ≅ ML, entonces triángulo KNL y NLM son similares ah Angle side Angle Theorom .
Entonces,{LNK ≅ LNM}
7x+7=8x-3 8x-7=7+3,x=10
13x+2=13*10+2=130+2=132°
La respuesta es 132°
Based on the relationship of the intercepted arcs of congruent chords, the measure of arc JM is: C. 132°.
What is the Measure of Intercepted Arcs of Equal Chords?If two chords are congruent, then the corresponding arcs bounded by the chords will have equal measure too.
Thus, KL = LM, therefore:
7x + 7 = 8x - 3
Solve for x
7x - 8x = -7 - 3
-x = -10
x = 10
Arc JM = 13x + 2
Plug in the value of x
Arc JM = 13(10) + 2
Arc JM = 132°
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According to Jax's pedometer, he walked 2.783\,\text{km}2.783km2, point, 783, start text, k, m, end text while taking care of the livestock in the morning and 3.124\,\text{km}3.124km3, point, 124, start text, k, m, end text taking care of the livestock in the evening.
Answer:
5.907 kilometers.
Step-by-step explanation:
Please consider the complete question.
According to Jax's pedometer, he walked 2.783 km while taking care of the livestock in the morning and 3.124 km taking care of the livestock in the evening. How far did Jax walk while taking care of the livestock today?
To find the total distance covered by Jax, while taking care of the livestock, we will add distances covered by Jax in the morning and evening.
[tex]\text{Total distance covered by Jax}=2.783+3.124[/tex]
[tex]\text{Total distance covered by Jax}=5.907[/tex]
Therefore, Jax walked for 5.907 kilometers, while taking care of the livestock.
The area of a triangular sail is given by the expression 1 2 bh, where b is the length of the base and h is the height. What is the area of a triangular sail in a model sailboat when b = 8 inches and h = 5 inches? The area of a triangular sail in a sail model is in2.
Answer:
The area of the triangular sail is 20 square inches.
Step-by-step explanation:
We are given the following in the question:
Dimensions of triangular sail:
Base, b = 8 inches
Height, h = 5 inches
Area of triangular sail =
= Area of triangle
[tex]=\dfrac{1}{2}\times b\times h[/tex]
Putting values, we get,
[tex]A = \dfrac{1}{2}\times 8\times 5\\\\A = 20\text{ square inches}[/tex]
Thus, the area of the triangular sail is 20 square inches.
What is the GCF of 84 and 56
Answer:
The GCF is 28
Step-by-step explanation:
Step 1: Find the factors of both numbers
84 → 1, 2 , 3 , 4 , 6 , 7 , 12 , 14 , 21 , 28 , 42 , 84
56 → 1 , 2 , 4 , 7 , 8 , 14 , 28 , 56
The factor that is the biggest common in both is the GCF. We see that 28 is the biggest factor that matches for both numbers.
Answer: The GCF is 28
Wayne has a total of 100 Major League Baseball cards from both the American League and the National League. The number of American League cards is 10 more than twice the number of National League cards. Which system of equations can be used to find how many American Leagues cards, A, and National League cards, N, Wayne has?
Answer:
A = 70 and N=30
Step-by-step explanation:
Total - 100 cards
American League = A
National League = N
A = 2N + 10 and A+N = 100
100-10 = 90
90/3 = 30
A = 2(30) + 10 = 70
A = 70 and N=30
Evaluate the following expression when x = 6 and y = 2:
Fraction with x squared plus y cubed in the numerator and 2 plus x in the denominator.
PLEASE HELP!!!
Answer:
11/2
Step-by-step explanation:
[tex] \frac{ {x}^{2} + {y}^{3} }{2 + x} \\ [/tex]
when,
[tex]x = 6 \\ y = 2[/tex]
Now substitute the value we get,
[tex] \frac{ {6}^{2} + {2}^{3} }{2 + 6} \\ \\ = \frac{36 + 8}{8} \\ \\ = \frac{44}{8} \\ \\ = \frac{11}{2} [/tex]
Describe how a root can be written using a rational expression. Give an example.
Answer: To find the roots of a Rational Expression we only need to find the the roots of the top polynomial, so long as the Rational Expression is in "Lowest Terms". Lowest Terms means when the top and bottom of a fraction have no common factors.
Step-by-step explanation:
Answer:
√36 = 6
³√ 5 = 5 ^ ⅓
⁴√ 16 = 16 ^ ¼
= 2
Step-by-step explanation:
Mathematically, the square of a number, is the power of 2 to the base of that number, or the exponent 2 to the base of that number.
Such as :
The Square of 5.
=5²
= 5*5 = 25.
In thesame vain, the SQUARE of a number is to the power 2 of that number.
Hence, the SQUARE ROOT, of any number is the ROOT 2 , to that number. Such that:
Square roots of 5:
√5
= 5 ^½
√12
= 12 ^ ½
√36
= 36 ^ ½
= 6
For other expression other than 2, the rational expression will be a function of the value before the root.
Such that:
1. ³√5 = 5 ^ ⅓
2. ³√ 12 = 12 ^ ⅓
3. ³√8 = 8 ^ ⅓ = 2
4. ⁴√ 16 = 16 ^ ¼ = 2
5. ⁴√24 = 24 ^ ¼
The other goes on and on in that order
1.--2.4.-8. What is the sequence?
Answer:
Geometric sequence.
Step-by-step explanation:
This is a Geometric Sequence with common ratio -2:
-2 = 1* -2
4 = -2*-2
-8 = 2 * -2.
the nth term = (-2)^(n-1).
what is the measure of arc AED
Answer: 194 degrees
Step-by-step explanation:
Yolanda purchased a meal at her favorite restaurant for $5.50. She tipped her waiter 20% of the purchase. Including the tip, what was the total amount of money that she spent at the restaurant? *
Answer: Yolanda spent $6.60 at her favourite restaurant, including the tip.
Step-by-step explanation:
We know that 20% of 5.50 is: 1.10
So, 5.50 + 1.10 = 6.60.
Yolanda spent $6.60 at her favourite restaurant, including the tip.
6) A part of a whole expressed in hundredths is a _______?
Answer:
A part of a whole expressed in hundredths is a percent.