Answer:
0
Step-by-step explanation:
x2 +4x-21=0. solve for x
[tex]x = \frac{7}{2} [/tex]
[tex]x = 3 \frac{1}{2} \ x = 3.5[/tex]
You have one type of nut that sells for $3.00/lb and another type of nut that sells for $5.40/lb. You would like to have 7.2 lbs of a nut mixture that sells for $4.60/lb. How much of each nut will you need to obtain the desired mixture?
Answer: 2.4 pounds of the type of nut that sells for $3.00/lb and 4.8 pounds of the type of nut that sells for $5.40/lb would be needed.
Step-by-step explanation:
Let x represent the number of pounds of the type of nut that sells for $3.00/lb that you would need.
Let y represent the number of pounds of the type of nut that sells for $5.40/lb that you would need.
You would like to have 7.2 lbs of a nut mixture. It means that
x + y = 7.2
The mixture would sell for $4.60/lb. It means that the cost of the mixture would be
4.6 × 7.2 = $33.12
This means that
3x + 5.4y = 33.12- - - - - - - - - 1
Substituting x = 7.2 - y Intl equation 1, it becomes
3(7.2 - y) + 5.4y = 33.12
21.6 - 3y + 5.4y = 33.12
- 3y + 5.4y = 33.12 - 21.6
2.4y = 11.52
y = 11.52/2.4
y = 4.8
x = 7.2 - y = 7.2 - 4.8
x = 2.4
Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 5 units above R to leave room for a utility truck. What are the coordinates of the location of the second car? (1, −2) (1, 3) (−4, −2) (−4, 3)
Answer:
Step-by-step explanation:
1,3
Hey ya'll don't scroll please, just look at the attachment and answer every single question please- thank you very much.
I need this done in 15 minutes so it would really really help. Also I have made my 11th account this week regarding this question so just please answer it for me- thanks girlie.
Answer:
a. is B b. is D
Step-by-step explanation:
I need help ! It’s due today
Answer:we have the same thing,
Step-by-step explanation:medium,from end to middle
Answer:
Please give Branliest
1. minimum = 3
maximum = 9
median = 7
2. minimum = 8
maximum = 24
median = 15
3. minimum = 21
maximum = 40
median = 28
lower quartile =26
upper quartile = 24
Step-by-step explanation:
minimum is the lowest number in the set
maximum the highest number
to find the median, line the numbers up in order, and find the number in the middle that is the median
quartiles are the medians or middles of the numbers above the median or bellow
for example 21 26 27 28 33 34 40
the quartiles are 26 and 34
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
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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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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Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 9t + 9 cot(t/2), [π/4, 7π/4]
To find the absolute maximum and minimum values of a function, we find the critical points and endpoints. Evaluating the function at these points gives the maximum and minimum values.
Explanation:To find the absolute maximum and absolute minimum values of a function on a given interval, we need to find the critical points and endpoints of the interval.
To find the critical points of f, we need to find where the derivative of f is equal to zero or undefined. The derivative of f(t) = 9t + 9cot(t/2) is f'(t) = 9 - 9csc^2(t/2).
Setting f'(t) = 0, we have 9 - 9csc^2(t/2) = 0. Solving this equation, we get csc^2(t/2) = 1, which means sin^2(t/2) = 1. This gives us sin(t/2) = ±1. The critical points occur when t/2 = π/2 or t/2 = 3π/2. Solving for t, we get t = π or t = 3π as the critical points.
The endpoints of the interval are π/4 and 7π/4.
Now we evaluate the function f at the critical points and endpoints:
f(π/4) = 9(π/4) + 9cot(π/8) ≈ 6.566f(π) = 9π + 9cot(π/2) = 9πf(3π) = 9(3π) + 9cot(3π/2) = 27πf(7π/4) = 9(7π/4) + 9cot(7π/8) ≈ 46.607From these evaluations, we can see that the absolute maximum value occurs at t = 7π/4 and is approximately 46.607, while the absolute minimum value occurs at t = π/4 and is approximately 6.566.
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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!
the length of a rectangle with area 54 square centimeters is 9 centimeters. what is the perimeter of the rectangle, in centimeters?
Answer:
30 cm
Step-by-step explanation:
To find the perimeter of the rectangle, you first need to find the width and length of the rectangle:
54/9 = 6
L = 9
W = 6
The perimeter is 2lw:
The answer is 30 cm
Answer:
C 30 it not it 34
Step-by-step explanation:
just did it
What is the value of B Image below
Click on the number until you find the right quotient. 36m5n5 ÷ (12m3)
9mn^2
7m^4n^2
3m^2n^5
So the answer is 3m^2n^5
Final answer:
To find the quotient of ([tex]36m^5n^5 \div 12m^3[/tex]), divide the numerical coefficients and subtract the exponents for each variable base. The correct quotient is [tex]3m^2n^5[/tex], which corresponds to option 3.
Explanation:
Divide the numerical coefficients: 36 ÷ 12 = 3.
Subtract the exponents of the variables with the same base (m): 5 - 3 = 2.
Subtract the exponents of the variables with the same base (n): 5 - 0 = 5.
Therefore, the quotient is 3m2n5, which matches option 3: [tex]3m^2n^5[/tex].
PLEASE HELPPPP!!!!!!!
Rectangle QRST has points at these coordinates:
Q(-9,2), R (1,2), S (1,-2), and T (-9,-2).
What is the length of QT?
Answer:
the length between them is 4
Step-by-step explanation:
from Q - T
both are at -9 so its a straight line.
the difference between -2 and 2 is 4
-2 , -1, 0, 1, 2,
Answer:
4
Step-by-step explanation:
Q and T are on the same line.
-9 is the x value for both points.
All you are left with is the distance between -2 and 2.
Subtract and take absolute value if you come up with a negative answer.
2 - -2 = 4
victor wants to buy fertilizer for his yard. the yard measures 45 feet by 50 feet. the directions on the bag of fertilizer says that one bag will cover 1,220 sq ft. how many bags of fertilizer should victor buy to be sure that he cover the entire yard
Answer:
He'll need 2 bags to cover his yard.
Step-by-step explanation:
To solve this problem we first need to calculate the area of Victor's yard. It seemes by the dimmensions given that his yard have a rectangular shape, it's area is given by:
yard area = length*width
yard area = 45*50 = 2250 square feet
Since each bag will cover 1220 square feet, to calculate how many bags are needed for his yeard we need to divide the yard's area by the area each bag can cover. This is shown below:
number of bags = yard area/ bag area = 2250/1220 =1.84
Since he can't buy 0.84 bags we will round the number of bags to 2.
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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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:
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
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.
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
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
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]
Sophia creates a blog about food specialties and how to make them at home. In one session she shares a recipe from her grandmother in Italy about making genuine Neapolitan pizza. In the blog, she inserts various links to products she has for sale, like pizza peels, tomato sauce, etc. This is an example of effective _________.
Answer:
inbound marketing
Step-by-step explanation:
The case of Sophia inserting links to products she sells within her food blog is an example of affiliate marketing. With this strategy, Sophia can generate revenue each time a reader makes a purchase through a link on her blog.
Explanation:Sophia's action of incorporating links to products that she has for sale within her blog about food specialties is an example of effective affiliate marketing. In affiliate marketing, an individual recommends products to their audience, and earns a commission on any sales that come from their referrals. By integrating these product links in her blog post, Sophia can generate revenue each time a reader clicks on the link and purchases the product. This allows her to monetize her blog in an easy and effective way.
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2/3 inches x 5 inches
Answer:
10/3
Step-by-step explanation:
2/3 x 5 is really
2 x 5
3 1
when you multiply them separately you will get 10 as your numerator and 3 as your denominator.
hope this helps!
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.
Two dice are rolled, and the results are summed find the probabilty of rolling an odd sum less than 9
Answer:
You can have 11 outcomes:
2: 1/36
3: 2/36
4: 3/36
5: 4/36
6: 5/36
7: 6/36
8: 5/36
9: 4/36
10: 3/36
11: 2/36
12: 1/36
Odd numbers are 3,5,7,9,11 thus the probability is (2+4+6+4+2)/36
Step-by-step explanation:
try this i think this is the answer i looked it up
A parabola intersects the xxx-axis at x=3x=3x, equals, 3 and x=9x=9x, equals, 9.
What is the xxx-coordinate of the parabola's vertex?
Answer:
x=6
Step-by-step explanation:
Given the x-intercepts of a parabola: [tex]x_1=3, x_2=9[/tex]
The equation of symmetry at the parabola's vertex is x=h
Where [tex]h=\dfrac{x_1+x_2}{2}[/tex]
In this case,
[tex]h=\dfrac{3+9}{2}=6[/tex]
Therefore, the line of symmetry of the parabola is x=6 and is also the x-coordinate of the parabola's vertex.
The vertex of a parabola is the minimum or maximum point of the parabola.
The x-coordinate of the vertex is 6
The intersection points are given as:
[tex]\mathbf{x_1 = 3,\ x_2 = 9}[/tex]
The x-coordinate of the parabola is calculated as:
[tex]\mathbf{x = \frac{1}{2}(x_1 + x_2)}[/tex]
So, we have:
[tex]\mathbf{x = \frac{1}{2}(3 + 9)}[/tex]
[tex]\mathbf{x = \frac{1}{2}(12)}[/tex]
Simplify
[tex]\mathbf{x = 6}[/tex]
Hence, the x-coordinate of the vertex is 6
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A rectangle with length 10 inches and width 5 inches. A triangle sits on top of the rectangle. The triangle has a base of 10 inches and height of 3 inches. What is the area of the figure shown?
Answer:
The Area is 65
Step-by-step explanation: Hope this helps!
Answer:
65
Step-by-step explanation:
got it
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.Beth needs to fertilize her flowerbed, which is in the shape of a regular pentagon. A bag of fertilizer states that it can fertilize up to 150 square feet, but Beth is not sure how many bags of fertilizer she should buy. Each side of the pentagon is 15 feet long
Answer: he should buy 3 bags
Step-by-step explanation:
In order to determine the area of the flower bed which has the shape of a Pentagon, we would apply the formula for determining the area of a polygon which is expressed as
Area = (perimeter × apotherm)/2
The apotherm is the perpendicular distance from the center of the polygon. The formula for determining the apotherm is
Apotherm = S/2tan(180/n)
Where
S = side length of the polygon
n = number of sides of the polygon.
From the information given,
S = 15 feet
n = 5
Apotherm = 15/2tan(180/5) = 10.3 ft
Perimeter = side length × number of sides
Perimeter = 15 × 5 = 75 ft
Therefore,
Area of the Pentagon = 75 × 10.3/2 = 386.25 ft²
A bag of fertilizer states that it can fertilize up to 150 square feet. Therefore, the number of bags that he can buy is
386.25/150 = 2.575 bags
He should buy approximately 3 bags
Find the quotient. 2y/5x / y/6x
Well let us see,
[tex]\dfrac{\frac{2y}{5x}}{\frac{y}{6x}}=\dfrac{12xy}{5xy}=\color{blue}\boxed{\dfrac{12}{5}}[/tex].
Hope this helps.
Answer:
[tex] \huge \purple { \frac{12}{5} }[/tex]
Step-by-step explanation:
[tex] \huge \frac{ \frac{2y}{5x} }{ \frac{y}{6x} } \\ \\ \huge = \frac{2y}{5x} \times \frac{6x}{y} \\ \\ \huge = \frac{2}{5} \times \frac{6}{1} \\ \\ \huge \red{ = \frac{12}{5} }[/tex]