Answer:
The factored form is: [tex]5k^2(h^2 - 3hk - 40k^2)[/tex]
Step-by-step explanation:
The factorization of the trinomial is given by the multiplication of the greatest common factor of each coefficient(numeric, h and k), put it in front, and divide each term by it.
Numeric:
GCF between 5, 15 and 200.
We keep dividing while all factors can be divided by the same number
5 - 15 - 200|5
1 - 3 - 40
No other possible division, so the numeric GCF is 5.
Coefficient h
To the 2, to the 1, and does not appear(to the 0). So the GCF is 0.
Coefficient k
2, 3 and 4. The GCF is 2.
So
[tex]5k^2(\frac{5h^2k^2}{5k^2} - \frac{15hk^3}{5k^2} - \frac{200k^4}{5k^2}) = 5k^2(h^2 - 3hk - 40k^2)[/tex]
The factored form is: [tex]5k^2(h^2 - 3hk - 40k^2)[/tex]
PLZ PLZZZZ HELP ASAP!!!!!
Explain the error: 144x2 - 100 (12x + 10)(12x - 10) 2(6x + 5)(6x - 5)
9514 1404 393
Answer:
a factor of 2 is shown, but 4 was factored out
Step-by-step explanation:
The difference of squares is factored as ...
a² -b² = (a +b)(a -b)
Then the given difference of squares factors as ...
144x² -100 = (12x)² -10² = (12x +10)(12x -10)
Each of these factors has a factor of 2 that can be factored out:
= (2(6x +5))(2(6x -5))
= (2·2)(6x +5)(6x -5)
= 4(6x +5)(6x -5)
The first factor should be 4, not 2.
help very easy ill give you brainiest
Answer:
Step-by-step explanation:
10/3
18/5
6/4 or 3/2 or 1 1/2
18/20 or 9/10
9/16
The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a standard deviation of 1.0. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
We should reject H₀ for values of | x₁| > 5,26 |x₁| > 6,12
Step-by-step explanation:
Sample mean μ₀ = 5,7
Sample size n₁ = 24
Sample standard deviation s = 1
Significance level α = 0,05 CI = 95 %
Hypothesis criteria: Valves don´t meet the specification, which means pressure could be higher or lower than nominal
Normal Distribution where n < 30 we should use a two-tail t-student test
degree of freedom df = 24 - 1 = 23
And with df = 23 and α = 0,025 we find in t-tables the value for
t(c) = - 2,0687 ( on the left tail )
Test Hypothesis:
Null Hypothesis H₀ x = μ₀
Alternative Hypothesis Hₐ x ≠ μ₀
To compute t(s)
t(s) = ( x - μ₀ ) / s/√n
t(s) = ( x - 5,7 )*4,80
t(s) = 4,80*x - 27,34
Then for values of t(s) |t(s)| > 2,0687 we have to reject H₀
If we make t(s) = t(c) we find
-2,0687 = 4,8*x - 27,34
x = ( 27,34 - 2,07 ) / 4,8 and on the other tail x = 6,12
x = 5,26
Therefore for values of 5,26 ( under ) and above 6,12 we shoud reject the Null hypothesis
A container holds 23 gallon of apple juice. If four people from the cross-country track team share the juice equally, how much juice will each team member get?
You would ____
to solve this problem.
Each runner will get _____
gallon of apple juice.
fill in the blank
Answer:5.75
Step-by-step explanation:
Write an algebraic expression to represent: three times a number minus seven.
Answer:
3•x-7
Step-by-step explanation:
I hope that helps!
Mariah exercises 2,328 minutes a month. She exercised 4 times longer than Miguel exercised last month. How many minutes did Miguel spend exercising last month?
Answer:
maria is fat
Step-by-step
The product of two complex numbers is (always,
sometimes, never] a complex number
The product of two complex numbers is SOMETIMES a complex number.
this is because you can add 2 complex numbers and get a whole number, which is not a complex number. However, you can add 2 complex numbers and sometimes get another complex number.
May I have brainliest please? :)
Keisha is having a birthday party. Her mom gave her $30 to purchase items for the party. She brought 16 party hats and 16 bags. Each party hat cost $0.70 each and each bad cost $0.35 each. How much money did Keisha have left after these purchases
Solve by moving
one number
34-79=2
Answer:
Not sure but try moving a number from 79 since you cannot switch the operation
Step-by-step explanation:
Compute the directional derivative of the following function at the given point P in the direction of the given vector. Be sure to use a unit vector for the direction vector. f(x,y)= ln(2 +3x^2 +3y^2); P(1,-2); (3,1)
Answer:
The directional derivate is given by: [tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}[/tex]
Step-by-step explanation:
The directional derivative at point (x,y) is given by:
[tex]D_{u}(x,y) = f_{x}(x,y)*a + f_{y}(x,y)*b[/tex]
In which a is the x component of the unit vector and b is the y component of the unit vector.
Vector:
We are given the following vector: [tex]v = (3,1)[/tex]
Its modulus is given by: [tex]\sqrt{3^2 + 1^2} = \sqrt{10}[/tex]
The unit vector is given by each component divided by it's modulus. So
[tex]v_u = (\frac{3}{\sqrt{10}}, \frac{1}{\sqrt{10}})[/tex]
This means that [tex]a = \frac{3}{\sqrt{10}}, b = \frac{1}{\sqrt{10}}[/tex]
Partial derivatives:
[tex]f(x,y) = \ln{(2 + 3x^2 + 3y^2)}[/tex]
So
[tex]f_x(x,y) = \frac{6x}{\ln{(2 + 3x^2 + 3y^2)}}[/tex]
[tex]f_x(1,-2) = \frac{6(1)}{\ln{(2 + 3(1)^2 + 3(-2)^2)}} = \frac{6}{\ln{17}}[/tex]
[tex]f_y(x,y) = \frac{6y}{\ln{(2 + 3x^2 + 3y^2)}}[/tex]
[tex]f_y(1,-2) = \frac{6(-2)}{\ln{(2 + 3(1)^2 + 3(-2)^2)}} = -\frac{12}{\ln{17}}[/tex]
Directional derivative:
[tex]D_{u}(x,y) = f_{x}(x,y)*a + f_{y}(x,y)*b[/tex]
[tex]D_{u}(x,y) = \frac{6}{\ln{17}}\times\frac{3}{\sqrt{10}}-\frac{12}{\ln{17}}\times\frac{1}{\sqrt{10}}[/tex]
[tex]D_{u}(x,y) = \frac{18}{\ln{17}\sqrt{10}} - \frac{12}{\ln{17}\sqrt{10}}[tex]
[tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}[/tex]
The directional derivate is given by: [tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}[/tex]
Please help!! 10 point available:)
Answer:
[tex]1) - 2n + 14[/tex]
[tex]2)- 5n + 30[/tex]
Step-by-step explanation:
[tex]n = a + (n - 1) \times d \\ = 12 + (n - 1) \times - 2 \\ = 12 - 2n + 2 \\ = - 2n + 14[/tex]
[tex]n = a + (n - 1) \times d \\ = 25 + (n - 1) \times - 5 \\ = 25 - 5n + 5 \\ = - 5n + 30[/tex]
Can I have the brainliest please?
Solve.
W. Altus is climbing 3000 ft to the top of a mountain. The temperature was
60°F when he started, but he expects it to drop 3.6° with each 1000 ft of
elevation gain. Find the expected temperature after each 1000-ft gain.
Answer:
The temperature at 1,000 feet will be 56.4ºF; at 2,000 feet it will be 52.8ºF; and at 3,000 feet it will be 49.2ºF.
Step-by-step explanation:
Given that W. Altus is climbing 3,000 feet to the top of a mountain, starting at a temperature of 60ºF, which decreases 3.6ºF every 1,000 feet of elevation, to determine the temperature every 1,000 feet of elevation, the following calculations must be performed:
0 feet = 60ºF
1,000 feet = 60ºF - 3.6ºF = 56.4ºF
2,000 feet = 56.4ºF - 3.6ºF = 52.8ºF
3,000 feet = 52.8ºF - 3.6ºF = 49.2ºF
Thus, the temperature at 1,000 feet will be 56.4ºF; at 2,000 feet it will be 52.8ºF; and at 3,000 feet it will be 49.2ºF.
Students in Grade 5 are divided into 6 equal sections. There are 29 students in
each section. How many students are in Grade 5?
Answer:
174
Step-by-step explanation:
Number of section = 6
Number of students in each sections = 29
Nøw
Total students in Grade 5 is
= 6 * 29
= 174
Hope it will help you :)
Answer:
174
Step-by-step explanation:
[tex]29 \times 5[/tex]
which is 174
Please help meee!!! 11 points
Why do non STEM majors detest taking algebraic courses at the collegiate level?
Answer:
Because they find it hard to pass in the past.
Step-by-step explanation:
Non-STEM majors detest taking algebraic courses at the collegiate level because based on their past experiences in high school, whereby they probably do not excel in algebra, numbers, or mathematical subjects in general, the thought of going through advanced numbers and equations can be overwhelming.
Nobody wants to have or at least start college with poor grades. Hence, because non-STEM students find algebraic courses hard to pass in the past, they detest taking the course that has to do with it at the college level.
Which expression belongs in the box?
(3 x 8) x 4= 3 x ()
8 +4
8 +3
8 X 4
8 x 3
Don
Answer:
The expression that belongs in the box is 8 x 4
Option C is correct answer.
Step-by-step explanation:
We need to find Which expression belongs in the box?
[tex](3 \times 8) \times 4= 3 \times (------)[/tex]
The property applied here is associative property of multiplication.
Associative property of multiplication states that:
[tex](a \times b)\times c = a \times (b \times c)[/tex]
So, if we apply the property to our question we have:
a = 3
b = 8
c = 4
So, the expression will become: [tex](3 \times 8) \times 4= 3 \times (8 \times 4)[/tex]
So, the expression that belongs in the box is 8 x 4
Option C is correct answer.
Solve for x.
Please!!!!!! Hurry
Answer:
i believe X is 4
hope that helps
Step-by-step explanation:
Sebastian got estimates from 7 companies for his kitchen remodel:
$27,500 $31,000 $36000 $92,000 $29,000 $30,500 and $28,500
Which measure of center best describes the data, the mean or the median?
Answer:
27.500
Step-by-step explanation:
115.6, 114.52 , 15.305, 114.483 from greatest to least
Answer:
115.6, 114.52, 114.483, 15.305
Step-by-step explanation:
Answer:
115•6 114•483 114•52 15•305
Candice made a scale drawing of an Italian restaurant. She used the scale
7 millimeters = 5 meters. What is the scale factor of the drawing?
Answer:4
Step-by-step explanation:
Answer:
its actually 5:36
Step-by-step explanation:
A person came to work at 8:30 am, went out at 11:45 am, had lunch, came in at 12:30 pm, and left at 5:15 pm. How many hours did this person work?
Answer:
8 hours
Step-by-step explanation:
A person came to work by 8:30 am
He went out to lunch 11:45 am and came back 12:30 pm
He closed 5:15 pm
Therefore the total hours worked that day can be calculated as follows
Time worked from 8:30 am to 11:45 am is 3 hours 15 mins
Time worked for 12:30 pm to 5:15 pm is 4 hours 45 mins
3 hours 15 mins + 4 hours 45 mins
= 8 hours
Hence the total hours worked that day is 8 hours
how do you pay taxes loll
Step-by-step explanation:
Unless Loll has agreed to credit terms in writing, payment shall be made in advance and by cash, cashier's check, credit card, wire transfer or irrevocable letter of credit in a form acceptable to Loll. All payments due from Buyer shall be made without any set-off or deductions for any reason whatsoever.
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hi very urgent plz show work u will get 15 points if u answer correct
Answer:
180
Step-by-step explanation:
How many edges does this shape have?
12
10
Answer:
12
Step-by-step explanation:
Last year Ben earned $22,500. He expects his earning to be 23% greater this
year than last year. What did Ben expect to earn this year?
Answer:
Ben expected to earn $27,675 this year.
Step-by-step explanation:
First, to be able to determine the difference between this year and last year, you would multiply $22,500 by 0.23 (or, 23% in decimal form).
When you do that, the answer comes out to 5,175.
So then, you add $22,500 and $5,175 in order to get the value that he expected to earn this year. That comes out to $27,675, which is your final answer.
Given the following data, find the weight that represents the 22nd percentile. Weights of Newborn Babies 7.87.95.85.85.7 5.66.98.77.97.8 7.56.77.58.85.7
Answer:
Step-by-step explanation:
Given the data: 7.8 7.9 5.8 5.8 5.7 5.6 6.9 8.7 7.9 7.8 7.5 6.7 7.5 8.8 5.7
Rearranged data: 5.6, 5.7, 5.7, 5.8, 5.8, 6.7, 6.9, 7.5, 7.5, 7.8, 7.8, 7.9, 7.9, 8.7, 8.8
The 22nd percentile :
Percentile (i) = (P / 100) * n
Where i = rank, n = Same size ; P = pw cwntile.
P = 22 ; n = 15
i = (22/100) * 15
i = 3.3 rd
The 22nd percentile is equivalent to 4th data in the ordered set = 5.
A submarine dives 750 feet every 5 minutes and 4,500 feet every 30 minutes. Find the constant rate at which the submarine dives. Enter your answer in feet per minute and feet per hour. The submarine dives feet per minute. The submarine dives feet per hour.
Answer:
150 feet per minute
Answer: d
Step-by-step explanation: i know it
A bag of a certain type of sand weighs 42 pounds and has a volume of 0.5 cubic feet.
Hey sandbox has a volume of 16 cubic feet.
Approximately how many pounds of sand will it take to fill the sandbox
Answer:
32 bags
Step-by-step explanation:
0.5 × 16 = 32
hope it helps
Two right triangles will be congruent under a variety of scenarios besides HL. One of which is the following:
If the hypotenuse and an acute angle of one right triangle are equal,respectively, to the hypotenuse and an acute angle of another, then the right triangles are congruent. (Use the two triangles below, mark them up and then
decide on which congruence theorem will prove that the two are congruent (SAS, SSS, ASA, AAS or HL).
Explain why this must be true.
Answer:
Step-by-step explanation:
Both the triangles will be congruent by AAS property of congruence.
It has been given in the question,
Hypotenuse and an acute angle of both the triangles are equal.One angle of both the triangles measure 90°.Property of congruence A-A-S (Angle-Angle-Side) states,
"If two angles and a non-included side of one right triangle are equal to the corresponding angles and side of other triangle, then triangles will be congruent."
Therefore, by the property of AAS property of congruence, given right triangles will be congruent.
Learn more,
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