Answer:
3 • (2xy - 7) • (xy + 2)
Step-by-step explanation:
(((2•3x2) • y2) - 9xy) - 42
6x2y2 - 9xy - 42 = 3 • (2x2y2 - 3xy - 14)
The complete factorization of 6x^2y^2-9xy-42 is 3 (2x^2y^2 - 3xy - 14).
What is factorization?factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
The given expression is
[tex]6x^2y^2-9xy-42[/tex]
= [tex](((2\times3x^ 2) \times y^2) - 9xy) - 42[/tex]
The factorized form will be
= [tex]3 (2x^2y^2 - 3xy - 14)[/tex]
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Please help .. would be appreciated
Answer:
x = 30
Step-by-step explanation:
[tex] \triangle JLK\sim\triangle PQR[/tex] (given)
[tex] \therefore \frac{JL}{PQ}=\frac{LK}{QR} [/tex]
(corresponding sides of similar triangles)
[tex] \therefore \frac{20}{x}=\frac{22}{33} [/tex]
[tex] \therefore \frac{20}{x}=\frac{2}{3} [/tex]
[tex] \therefore x=\frac{20\times 3}{2} [/tex]
[tex] \therefore x=\frac{60}{2} [/tex]
[tex] \therefore x=30 [/tex]
Or using scale factor:
Scale factor = 33/22 = 3/2
x = 20*3/2
x = 10*3
x = 30
Figure A ~ Figure B
Figure A
Figure B
1 ft
3 ft
V = 6 cu ft
Find the volume of Figure A.
Answer:
the answer is
162ft3
Step-by-step explanation:
A box of chocolates was shared evenly between 5 people. Each person received 4 chocolates.
How many chocolates were in the box?
Answer:
20
Step-by-step explanation:
5x4=20
plz give me a thx! IF I HELPED :)
Additional Activities
BRAIN-COMPATIBLE
Activity 3
Directions: Determine the variable and constant in the given algebraic expression and
equation. Write your answer in your notebook.
Algebraic Expression and Equation
Variable
Constant
1) three more than y
2) p multiplied by 7
3) the quotient of x and four
4) sixteen subtracted from ten times k
5) twice the difference between twenty and
9
6) six times p decreased by twelve
7) twenty taken from eight-timesh
8) four times the sum of five and x
9) f multiplied by fifteen
10) twice d added to forty
Answer:
1. C: three | V: y
2. C: 7 | V: p
3. C: four | V: x
4. C: sixteen, ten | V: k
5. C: two, twenty | V: g (I believe that's a "g" and not a "9" due to OCR scanning! and even logically that should be a letter to represent the variable so that the expression is correct)
6. C: six, twelve | V: p
7. C: twenty, eight | V: h
8. C: four, five | V: x
9. C: fifteen | V: f
10. C: two, forty | V: d
Which equation finds the length of side c of this right triangle
Answer:
Find The Length Of The Side Of A Right Triangle : Example Question #1. Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
Use the Pythagorean Theorem to find c:
a² + b² = c²
√a² + b² = √c²
c = √a² +b²
help. ...................................:))))))))))))))
Answer:
4in²
Step-by-step explanation:
area of rectangle = l x b = 4 x 1 = 4in²
Answer:
4 in²
Step-by-step explanation:
4x1 is 4 so the answer is 4
If Jamal currently has 2000 in saving, he will need to Save________each month
3 When 25 x+2y-* x-12y+3) x-1ży+3) is simplified, what is the resulting expression? 1 Tox+23y+6 7. x+23y+6 x+85y+8 1 Tox+4*x+3
Answer:
B
Step-by-step explanation:
Un círculo tiene una circunferencia de 18.4 m. Determina el valor del radio. (Utiliza el valor de π = 3.14)
Answer: 2.92
Step-by-step explanation:
De la circunferencia del círculo, se encuentra que su radio es de 2.93m.
El circunferencia de un círculo de radio r es dada por:
[tex]C = 2\pi r = 2(3.14)r = 6.28r[/tex]
En este problema, la circunferencia es de 18.4. Así, es posible aplicar la fórmula de la cincumference para encontrar su radio, puesto que [tex]C = 18.4[/tex].
[tex]C = 6.28r[/tex]
[tex]6.28r = 18.4[/tex]
[tex]r = \frac{18.4}{6.28}[/tex]
[tex]r = 2.93[/tex]
El radio es de 2.93m.
Un problema similar es dado en https://brainly.com/question/24562611
If 14 g of a radioactive substance are present initially and 3 yr later only 7 g remain, how much of the substance will be present after 6 yr?
Neville is making posters for a recycling project. If each poster is a rectangle that is 12.5 inches wide and 16 inches tall, what is the perimeter of one poster?
Answer:
The perimeter of one poster is 57 inches.
Step-by-step explanation:
The perimeter of a rectangle is given by:
[tex] P = 2(w + h) [/tex]
Where:
w: is the widht = 12.5 in
h: is the height = 16 in
Hence, the perimeter is:
[tex] P = 2(w + h) = 2(12.5 + 16) = 57 in [/tex]
Therefore, the perimeter of one poster is 57 inches.
I hope it helps you!
HELP ME ASAP find the equation of the line use exact numbers y=_x+_ HELP ME ASAP
Answer:
The answer would be Y=3X+3 .
Hope it was helpful .
The equation of the line shown in the graph is y = 3x + 3.
What is the equation of line?The equation of the line shown in the graph is determined by calculating the slope and y - intercept of the line as shown below.
The slope of the line is calculated as follows;
m = Δy / Δx
where;
Δy is change in y valuesΔx is the change in x valuesm = ( 9 - 3 ) / (2 - 0 )
m = 6 / 2
m = 3
The y - intercept of the line is the point where the line intersects y-axis.
c = 3
The general equation of a line is given as;
y = mx + c
So our equation of the line becomes;
y = 3x + 3
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can two fractions with the same numerator and different denominators be equal
Answer:
No, it cannot be equal
Step-by-step explanation:
For example: 1/2 and 1/4
1/2 represent in 2 pieces you are getting one piece.
1/4 represent in 4 pieces you get one piece
Find the area of each figure.
1536in (for rectangle). 288in (for triangle)
Area of rectangle: 48in* 32in = 1536 in
Area of triangle: 48in*12in÷1/2= 576/2=288in
Formula of area of triangle is b*h divided by 2
Formula of area of rectangle is length*width
Hope this helps!
Evaluate the expression.
-2.035 – 1.008 - 3.04 + 0.008
Answer:
-6.075
Step-by-step explanation:
simple addition/subtraction
we multiply all the terms by "-1"
we add the first three terms then subtract the last from it
Give the system, X + y = 15 3x - y = 9, find the value of x and y
Answer:
(x,y)=(9/77,684/77)
Step-by-step explanation:
X + y = 15 3x - y = 9
=154x=18
x=9/77
9/77+y=9
y=684/77
=(x,y)=(9/77,684/77)
A. Without using pencil and paper to actually find the products, how will the product of 3 x 10.6 compare to the product of 2.7 x 10.6? Explain your answer.
B. How will the product of 2.7 X 10.6 compare to the product of 3 X 10.6? Explain your answer.
how do i answer these i forgot all this-
Answer:
Step-by-step explanation:
in A , because we are multiplying a number by the same number in each case, 10.6 we know, that the 3 as compared to the 2.7 , will make a bigger number 3*10.6 is greater than 2.7 * 10.6 , it's just a quick way to make sure our answer is good
in B, as above, we know that 2.7*10.6 will be less than 3*10.6 see?
If Annie purchased 2 shirts for $10.00, how much will 4 shirts cost?
Answer:
$20
Step-by-step explanation:
2=10
4=20
Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 90 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation.
(A) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use alpha = 0.01.
(B) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). (e.g. 98.76).
Answer:
Step-by-step explanation:
From the given information:
Let assume:
[tex]\mu_1 =[/tex] population mean for catalyst 1
[tex]\mu_2 =[/tex] population mean for catalyst 2
Then:
Null hypothesis: [tex]\mu_1 \ge \mu_2[/tex]
Alternative hypothesis: [tex]\mu_1 <\mu_2[/tex]
[tex]\alpha= 0.01[/tex]
By using MINITAB software to compute the 2 sample t-test, we have:
Two-Sample T_Test and CI
Sample N Mean StDev SE Mean
1 12 94.00 3.00 0.87
2 15 90.00 2.00 0.52
Difference = [tex]\mu_1(1)-\mu_2(2)[/tex]
Estimate of difference: -6.00
99% upper bound for difference: -3.603
T-test of difference: 0 (vs <): T-value = -6.22
P.value = 0.000
DF = 25
Both use Pooled StDev = 2.4900
From above result
the test statistics = -6.00
p-value = 0.00
Decision Rule: To reject [tex]H_o\ \ if \ \ p \le \alpha[/tex]
Conclusion: Provided that p-value is < ∝, we reject [tex]H_o[/tex]. Hence, there is sufficient evidence to support the given claim.
b) From the MINITAB;
The 99% C.I on the difference in the mean yields that can be applied to test the claim in part (a) is:
[tex]\mathbf{\mu_1 -\mu_2 \le -3.60}[/tex]
what is the slope of the line shown?
What is four x equals twelve
Answer:
x= 3
Step-by-step explanation:
12 ÷ 4 +3
The algebraic expression 4x = 12 represents "four x equals twelve" and the solution of the expression 4x = 12 is the value of variable x is 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The given statement is "four x equals twelve"
According to the given question, translate the phrase into an algebraic expression:
⇒ 4x = 12
Thus, the algebraic expression is 4x = 12 represents "four x equals twelve"
Now the above expression solves for variable x,
⇒ 4x = 12
Divided by 4 into both sides of the above equation,
⇒ 4x / 4 = 12 / 4
⇒ x = 3
Therefore, the solution of the expression 4x = 12 is the value of variable x is 3.
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Lakisha is responsible for bringing the desserts to a friend's birthday
party. She is buying a cake for $25.00 and also cupcakes for $1.25
each. If she has budgeted $60 total, what is the maximum number of
cupcakes she can buy?
a) 68 cupcakes
b) 48 cupcakes
c) 28 cupcakes
d) 20 cupcakes
An Internet service provider sampled 540 customers and found that 55 of them experienced an interruption in their service during the previous month. Construct a 95% confidence interval for the proportion of all customers who have experienced a service interruption. (0.080, 0.123) (0.873, 0.924) (0.076, 0.127) (0.102, 0.898)
Answer: a 95% confidence interval for the proportion of all customers who have experienced a service interruption: (0.076, 0.127).
Step-by-step explanation:
Let p be the population proportion of all customers who have experienced a service interruption.
Confidence interval for p:[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex] = sample proportion, n= sample size, z* = critical z-value.
Given: n = 540
[tex]\hat{p}=\dfrac{55}{540}=0.102[/tex]
z* = 1.96
The required confidence interval:
[tex]0.102\pm (1.96)\sqrt{\dfrac{0.102(1-0.102)}{540}}\\\\=0.102\pm (1.96)(0.013024)\\\\=0.102\pm$$0.02552704\\\\=(0.102-$$0.02552704, 0.102+0.02552704)\\\\\approx(0.076, 0.127)[/tex]
Hence, a 95% confidence interval for the proportion of all customers who have experienced a service interruption: (0.076, 0.127).
Which category do both of these shapes belong to
Answer:
D. Parallelogram
Step-by-step explanation:
Answer:
The answer is Parallelgram(D)
two pairs of parallel sides in a quadrilateral
hope it helps...
Mary wants her friend to guess how many cards she has in her hand. She says that if the number of cards in her hand is tripled, and 4 are added, then she has 22 cards.
Answer:
22 minus 4 = 18
18 divided by 3 is equal to 6
then following from the question now that we got the answer
so she have 6 cards first then it tripled and now it's 18 Then she added four now it's 22
your welcome
Answer:
6
Step-by-step explanation:
let x be the number of cards
3x + 4 = 22
3x = 18
x = 6
Which two integers is √123 between?
9514 1404 393
Answer:
11 and 12
Step-by-step explanation:
√123 ≈ 11.0905 lies between 11 and 12.
__
Since you're familiar with your squares, you know ...
11^2 = 121
12^2 = 144
123 lies between 121 and 144, so √123 lies between 11 and 12.
Jayda is watching a movie that lasts 1 hour and 37 minutes. She has watched 52 minutes so far. How many minutes are left in the movie? *
Answer:
45 minutes
Step-by-step explanation:
97-52 = 45
Jim got 46 out of 60 correct on a test. What is the best estimate of the percent Jim got correct ?
Answer-
77
Step-by-step explanation:
i rounded 76.67% (which was the exact percentage of 46 out of 60)
2- 77%
Answer:
About 76.5% (77%)
Step-by-step explanation:
well start with the simple fractions. 40/60 is 2/3 which is 66.66666 repeating.
If we know it increased at least 5 more that is 45/60 which is 3/4, since 15 * 4 = 60, so 15 * 3 = 45.
We could say without getting too specific that every point will have about a 1.5 or more % increase since if it was out of 100 points every 1 question is +1 % and 50 points every question is +2 %. Since this is 60 it will be roughly about 1.6%
Ok the point is, about 76.5% (77%)
cAlCulAtOrS ExiSt SkOoL Hw
Find the lateral area, surface area and volume of the cube
Answer:
Lateral Area = 13 x 13 x 4 = 676 ft²
Surface area = 13 x 13 x 6 = 1014 ft²
Volume = 13 x 13 x 13 = 2197 ft³
On a survey of students at CAMS, 75% of students said
they preferred Soda instead of Juice.
6. If 420 students preferred Soda, how many students
did they survey in total?
Answer:Total number of students surveyed =560
Step-by-step explanation:
Number of students who preferred soda =420
Percentage of students who preferred Soda =75%
Percentage of students who preferred juice =100-75%=25%
Using the formula,
Percentage of students who preferred Soda x total number of students surveyed =Number of students who preferred soda
Therefore we have that
total number of students surveyed =Number of students who prefeerd juice/Percentage of students who preferred Soda
Total number of students surveyed =420/75%
=560