Answer:
[tex]40x^{2} y^{4} -70x^{2} y^{2} +90xy^{3}[/tex]
Step-by-step explanation:
[tex]10xy(4xy^{3} -7xy+9y^2)[/tex]
1. 10xy · 4xy^3 = [tex]40x^2y^4[/tex]
2. 10xy · -7xy = [tex]-70x^{2} y^{2}[/tex]
3. 10xy · 9y^2 = [tex]90xy^3[/tex]
Final step: add up all of those values together to make an equation!
Answer: [tex]40x^2y^4+[/tex] [tex]-70x^2y^2+[/tex] [tex]90xy^3[/tex]
Final Answer: [tex]40x^2y^4-70x^2y^2+90xy^3[/tex]
Please help
[tex]1. \: \sqrt{a + 2 = 4 } \\ \\ 2. \sqrt{2m - 8 - 4 = 2} \\ \\ 3. \sqrt{4 \times + 12 \: + 7 = 2} \\ \\ 4. \ \sqrt{17 - 4m = m + 1} \\ \\ 5. \sqrt{k - 1 = \sqrt{k - 5 } } \\ \\ 6. \sqrt{5n + 1 \: - 1 = 3 \sqrt{n} } \\ \\ 7. \sqrt[3]{\times = 3 } \\ \\ 8. \sqrt[3]{ \times - 1 = 4} [/tex]
Answer:
1. a = 14
2. m = 8
3. N/A
4. m = 2
5. N/A
6. n = 0, [tex]\frac{9}{25}[/tex], 0.36
7. x = 27
8. x = 65
Step-by-step explanation:
A house plan is drawn to the scale of 1/4 inch = 4 ft. What is the length of the house if it measures 3 3/8 inches on the floor plain.
Answer:
54
Step-by-step explanation:
3 3/8 / 1/4 = 13 1/2
13 1/2 x 4 = 54
PLEASE HELP!!!! I would really appreciate it!!! :)
the suppliment angle of 3 by 4 of 160 ° is
The numerator of a fraction is 9 and the denominator is 6. All of the following numbers are equivalent except ____.
○ 2/3
○ 3/2
○ 1 ½
○ 18/12
Answer:
2/3
Step-by-step explanation:
According to a survey conducted by Deloitte in 2017, 0.46 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 96 randomly selected U.S. smartphone owners, approximately __________ owners, give or take __________, will have attempted to limit their cell phone use in the past. Assume each pick is independent
Answer:
44.16 ; 4.88
Step-by-step explanation:
Recall :
Mean, μ = np
Sample size, n = 96
Sample proportion, p = 0.46
For the mean :
Mean, μ = 96 * 0.46
0.46 * 96 = 44.16
The standard deviation :
σ = √npq
q = 1 - p = 1 - 0.46 = 0.54
σ = √npq = √(96 * 0.46 * 0.54)
σ = √23.8464
σ = 4.88
Help please !!!!!!!!!!!!!!!!!!
Answer:
n = 59
Step-by-step explanation:
There's definitely a better way, i just did math randomly but here goes:
First i squared both sides. which gets you:
[tex](\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1[/tex]
Cleaning this up gives you:
[tex]2n-5 -2\sqrt{(n+5)(n-10)}=1[/tex]
Now move everything to the other side so we can square this equation again
[tex]-2\sqrt{(n+5)(n-10)}=-2n+6[/tex]
Divide both sides by -2
[tex]\sqrt{(n+5)(n-10)}=n-3[/tex]
square again
[tex](n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9[/tex]
subtract n^2 from both sides, add 6n, and add 50
[tex]-5n-50=-6n+9\\n-50 = 9\\n=59[/tex]
Put this back into the equation and you get a correct answer!
sqrt(59 + 5) = sqrt(64) = 8
sqrt(59-10) = sqrt(49) = 7
8 - 7 = 1
can someone help me please please?
Answer:
22
Step-by-step explanation:
Count the dot
What percent of 186 is 93?
No links please help
Answer: 50%
Step-by-step explanation:
Answer:
What percent of 186 is 93?
answer:50
Find the slope of the line that passes through (-1, -3) and (-2,2).
Answer:
-5
Step-by-step explanation:
Answer:
slope = -5
Step-by-step explanation:
m = y2-y1/x2-x1 (this is the equation for finding a slope of 2 points)
so plug them into this equation.
2+3/-2+1 = 5/-1 = -5.
the slope is -5
Use the function below to find F(3).
F(x) = (1/4)^x
Answer:
The answer is 0.015625
Answer:
Step-by-step explanation:
F(x) = (1/4)^x F(3)
F(3) = (1/4)^3
F(3) = (1/4)×(1/4)×(1/4)
F(3) = 1/64
Jessica is making cookies. Each batch requires 1/4 cups of sugar. If she has 3 cups of sugar, how many batches can she make total?
Solve for x.
X + 9
2x 111
x = [?]
Answer:
120
Step-by-step explanation:
Angle x + 9 and 2x - 111 are adjacent angles.
Adjacent angles are equal.
2x - 111 = x + 9
2x - x = 9 + 111
x = 120
Answer:
2x-111=x+9[corresponding angle]
2x-x=111+9
x=120
please help me with this
9514 1404 393
Answer:
MN = 68°LM = 25°KLN = 180°JLN = 248°JN = 112°NJL = 267°Step-by-step explanation:
The relevant relationships are ...
the sum of arcs around a circle is 360°a diameter divides the circle into two 180° arcsthe whole is the sum of the partsthe measure of an arc is the measure of the corresponding central angle__
The arc measures can be found to be ...
MN = 68°
LM = 180° -68° -87° = 25° . . . . semicircle KLN less the marked angles
KLN = 180° . . . . a semicircle
JLN = JM +MN = 180° +68° = 248° . . . . semicircle JLM + MN
JN = 180° -68° = 112° . . . . semicircle JNM less MN
NJL = 180° +87° = 267° . . . . semicircle NJK + KL
Similar Triangles
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a. 3/4 = 9/12 = 3/4
b. 3/9 = 4/12 = 1/3
c. 3/12 = 4/9 = 1/4
d. 4/3 = 12/9 = 4/3
Please select the best answer from the choices provided
Answer:
B. 3/9 = 4/12 = 1/3
Step-by-step explanation:
I calculated it logically
HELP. LIKE- WHICH ONE IS THE ANSWER? ALSO EXPLAIN A BIT
Answer:
perpendicular lines are when two lines intercect in a right angle. so it would be A then
Step-by-step explanation:
A has a right degree angle where the two lines cross, so this is the answer
B that is not a right angle it has acute and obtuse angles
C does not even have two lines that touch
D the two lines don't cross at all
E is an acute angle
B, C,D, and E are not the answers
The voltage, V, in an electric circuit is held constant, the current I, is inversely proportional to the resistance, R. If the current is 120mA (milliampere) when resistance is 5 ohms, find the current when the ersistance is 15 ohms.
Answer:
70 amps
Step-by-step explanation:
The current I is inversely proportional to the resistance R
I=k/R (k is the constant of proportionality)
A) I=210 amperes
R=4 ohms
I=k/R
k=I×R
k=210×4=840
B) R=12 ohms
k=840
I=k/R
I=840/12=70 amperes
The current will be 40 mA when the resistance is 15 ohms.
What is Ohms law?Ohms law says that the current running through the conductor is directly proportional to the potential difference across its extremities as long as the temperature and other physical conditions are constant.
Ohms law formula is -
V=IR, Where
Voltage is V and is measured in Volts,
The current flowing through the conductor is I and it represented in amperes and the resistance is R and is measured in ohms.
Given that, the voltage, V, in an electric circuit is held constant, If the current is 120mA when resistance is 5 ohms,
120 mA = 0.12 A
Therefore,
V = IR
V = 0.12 × 5
V = 0.6 volts
Now, when the resistance is 15 ohms, the current will be =
0.6 = I × 15
I = 0.6 / 15
I = 0.04 A
I = 40 mA
Hence, the current will be 40 mA when the resistance is 15 ohms.
Learn more about Ohms law, click;
https://brainly.com/question/1247379
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Suppose you have a bag containing 5 white marbles, 8 black marbles, 4 red marbles, and 9 green marbles. You draw a
single marble, record the color, and then place the marble back into the bag. You do this 10 times in total. After the final
time, you count your observations and see that you drew a black marble 3 times. Using what you know about theoretical
probabilities, was this likely to occur? Explain.
Answer:Yes
Step-by-step explanation:Because if u use the antropy system you'll know i hope i helped
Can somebody please help me out please my grads are bad
Step-by-step explanation:
Starting from the upper left in the clockwise direction:
congruent: no
similar: no
upper right side:
congruent: yes
similar: yes
lower right side:
congruent: no
similar: yes
lower left side:
congruent: yes
similar: yes
Solve for <2.
499
62 = [?]
44/42
Answer:
Solution given'
<2+90+49=180°[sum of interior angle of a triangle]
<2=180-139
<2=41°
remy said the table shows a proportional relationship because each distanc went up by 6ftg. Collin said that it was not a proportional relationship because there was no constant of proportionality there was not a single nymber that he could multiply the time by to get the distance
Answer:
remy would be correct
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through -9, 5 and -3,3 .
Answer:
y = -1/3x + 2
Step-by-step explanation:
First, find the slope using rise over run: (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(3 - 5) / (-3 + 9)
-2 / 6
= -1/3
Plug in a given point and the slope into y = mx + b, and solve for b:
y = mx + b
3 = -1/3(-3) + b
3 = 1 + b
2 = b
Plug in the slope and y intercept into y = mx + b
y = -1/3x + 2
So, the equation is y = -1/3x + 2
Which number did
DennisMark and labor closest to five
Thank you for helping me
Answer:
4,8 is the answer
hope it helped
can you make me brianliest
graph the function y less than or equal to x^2-3x-1
Answer: y <= x^(2) - 3x - 1
How to: Graph the inequality by finding the boundary line, then shading the appropriate area.
Have a great day and stay safe !
A painter bought 12 gallons of paint, just
enough to cover two rooms. One room is
twice the size of the other and requires
three coats of paint. The smaller room
requires only two coats. Then the client
decided not to paint the smaller room
after all.
Let x be the number of gallons it takes for one
coat of paint in the large room and y the
number for one coat of paint in the small room.
How many gallons of paint will be left?
Answer:
3 gallons of paint hope it helps my guy
Help with question 7 and 9 pls I rlly need help.
According to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,060. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $495. Use Appendix B.3. (Round your z-score computation to 2 decimal places and final answers to 2 decimal places.) What percent of the adults spend more than $2,575 per year on reading and entertainment
Answer:
The answer is [tex]15.00[/tex] %
Step-by-step explanation:
Let's start defining the random variable. We have the following variable :
[tex]X:[/tex] '' The amount spent per year on reading and entertainment among adults in the 25- to 34- year age group ''
We assume that [tex]X[/tex] follows the normal distribution. We can write :
[tex]X[/tex] ~ N ( μ , σ )
Where μ is the mean of the distribution and σ is the standard deviation (both are parameters from the normal distribution). Using the data from the question :
[tex]X[/tex] ~ [tex]N(2060;495)[/tex]
In order to answer the question, we first must calculate the probability :
[tex]P(X>2575)[/tex] (I)
We are going to calculate this probability by making a substitution. If we substract the mean to the variable [tex]X[/tex] and then divide by the standard deviation, we obtain a new variable [tex]Z[/tex] which can be modeled as a [tex]N(0;1)[/tex]. This is convenient because the cumulative distribution from [tex]Z[/tex] is tabulated and can be found on any book or either in Internet.This process is called standardizing the variable :
[ ([tex]X[/tex]-μ) / σ ] = [tex]Z[/tex] ~ [tex]N(0;1)[/tex] ⇒ If we apply this to the equation (I) ⇒
[tex]P(X>2575)=P(Z>\frac{2575-2060}{495})=P(Z>1.04)[/tex]
Then,
[tex]P(Z>1.04)=1-P(Z\leq 1.04)[/tex] (II)
Looking in any cumulative distribution table of [tex]Z[/tex] ⇒ [tex]P(Z\leq 1.04)=0.85[/tex]
If we replace this value in (II) ⇒
[tex]P(Z>1.04)=1-P(Z\leq 1.04)=1-0.85=0.15[/tex]
Using percent we obtain [tex]15.00[/tex] %
4) If the sum of two numbers is 64, and the larger number is 3 less than 3 times the
smaller number. Find the smaller number.
Answer:
x = 67/4
Step-by-step explanation:
Let x = smaller number and y = bigger number
Then x +y = 64 and y = 3x-3
Plugging y into x+y = 64
x + 3x -3 = 64
4x = 67
x = 67/4
Hope it helps.
What is the equation to solve this problem?
[tex]\displaystyle\bf\\x^2+x^2=10^2\\\\2x^2=19^2\\\\x^2=\frac{10^2}{2}\\\\ \sqrt{x^2}=\sqrt{\frac{10^2}{2}}\\\\x=\frac{10\sqrt{2}}{\sqrt{2}\times\sqrt{2}}\\\\x=\frac{10\sqrt{2}}{2}\\\\\boxed{\bf x=5\sqrt{2}~~~~~~Correct~ansver:~~D)}[/tex]
Nathan is a recreational cyclist. He can travel 10 miles in one hour on his bicycle. Which graph represents the number of miles Nathan can travel in x hours?
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]1\ hr = 10\ miles[/tex]
Required
The graph that shows the number of miles in x hours
We have:
[tex]1\ hr = 10\ miles[/tex]
Multiply both sides by x
[tex]x * 1hr = 10miles * x[/tex]
[tex]xhr=10x\ miles[/tex]
So, the function is:
[tex]f(x) =10x[/tex]