Answer:
1/2(6x-10)-x = 2x +3
Step-by-step explanation:
1/2(6x-10)-x =
Distribute
3x -5 -x
2x -5
We need to other side to be of the form 2x - constant where the constant is not equal to 5
2x-5 = 2x+3
Subtract 2x from each side
-5 =3
This is not true so there is no solution
A rancher has 5,000 feet of fencing available to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal areas. If no fencing is required along the river, find the length of the center partition that will yield the maximum area.
Answer:
1,000 feet
Step-by-step explanation:
The closer to a square a rectangle is, the greater the area. So the 5,000 feet should be divided into 5 equal sections to create 2 squares with the river making one side. (Like the letter "E").
5,000/5=1,000
Suppose a poll of 700 voters says that 45% of the voters will vote for Candidate A for president. Compute the 99% confidence interval
Answer: (0.4016, 0.4984).
Step-by-step explanation:
Let p be the proportion of voters will vote for Candidate A for president.
Formula for confidence interval for proportion:
[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
, here [tex]\hat{p}[/tex]= sample proportion
n= sample size.
z* =two-tailed critical z- value.
As per given, we have
n= 700
[tex]\hat{p}[/tex] = 0.45
Critical two-tailed z-value for 99% confidence interval = 2.576
Then, the required 99% confidence interval for p would be:
[tex]0.45\pm (2.576)\sqrt{\dfrac{0.45(1-0.45)}{700}}\\\\=0.45\pm(2.576)\sqrt{0.000353571428}\\\\=0.45\pm (2.576)(0.0188035)\\\\=0.45\pm0.04844\\\\=(0.45-0.048437,\ 0.45+0.048437)\\\\=(0.401563,\ 0.498437)\approx(0.4016,\ 0.4984)[/tex]
Hence, the required confidence interval (0.4016, 0.4984).
please hurry! I'll mark brainliest if you're fast!
To find the quotient 5/7 ÷ 1/3
multiply 7/5 by 1/3
multiply 7/5 by 3.
multiply 5/7 by 3.
multiply 5/7 by 1/3
Answer:
multiply 5/7 by 3
Step-by-step explanation:
The formula for any geometric sequence is an = a1 · rn - 1, where an represents the value of the nth term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 1, -2, 4, -8, ...? an = 1 · (-2)n - 1 an = -2 · 1n - 1 an = -8 · (-2)n - 1 an = 1 · 2n - 1
Answer:
[tex]\huge\boxed{a_n=1\cdot(-2)^{n-1}}[/tex]
Step-by-step explanation:
[tex]a_n=a_1r^{n-1}[/tex]
We have the geometric sequence: 1, -2, 4, -8, ...
Find the common ratio:
[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}[/tex]
[tex]a_1=1,\ a_2=-2[/tex]
substitute:
[tex]r=\dfrac{-2}{1}=-2[/tex]
Substitute
[tex]a_1=1;\ r=-1[/tex]
to
[tex]a_n=a_1r^{n-1}[/tex]
[tex]a_n=1\cdot(-2)^{n-1}[/tex]
Answer:
[tex]a_{n}=1 (-2)^{n-1}[/tex]
Step-by-step explanation:
Hi there!
Let's do it,
1)[tex]1,-2,4,-8[/tex]
First let's find the q, the common ratio by dividing the second term by the anterior one.
-2:1 =-2
4:-2=-2
So the common ratio is -2. Plugging in on the General formula:
[tex]a_{n}=a_{1}q^{n-1}[/tex]
[tex]a_{n}=1 (-2)^{n-1}[/tex]
1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid 2. Choose all the solids from the list below. A. Rectangle B. Circle C. Cone D. Pyramid E. Prism F. Cylinder 3. The volume of the following figure = ___________ cm3. (Image 2) A. 288 B. 72 C. 216 D. 144
Answer:
1) TRIANGULAR PRISM
3) d. 144 cm3
Step-by-step explanation:
1) When figuring out what shape a net is, look at the two shapes that are different. In this case, its the triangles. Then take a look at the other shapes. If it has a rectangle base then you know its a prism. If it has a different shpes base then you know its pyramid. Now just combine the two key words you found. Triangle + Prism = Triangular Prism
2) A solid is something that is firm and stable. So it is not a liquid or solid. Pretty much everything that you listed is a solid.
3) The formula for finding the volume of a triangular prism is bxhxl divided by 2. So it would be 8x3x12= 288 divided by 2= 144 cm3
Answer:
Triangular prism.
Step-by-step explanation:
Write this number in standard form. 300+80+0.9+0.06+0.001
Hey there! I'm happy to help!
First, let's add the hundreds and the tens.
300+80=380
We see that there is nothing in the ones place, so we keep our ones place 0 and we move onto adding the tenths.
380+0.9=380.9
We add the hundredths.
380.9+0.06=380.96
And finally, we add the thousandths.
380.96+0.001=380.961
Therefore, this number in standard form is 380.961.
Have a wonderful day! :D
Answer:
380.961
Step-by-step explanation:
300+80=380
0.9+0.06+0.001=.961
380+.961=380.961
since there is nothing in the ones place, keep it 0.
What is the probability of rolling a 2 and then rolling a 5 on two consecutive rolls of a fair 6-sided die?
i kinda need quick answer pls tyy
Answer:
1/36
Step-by-step explanation:
1/6x1/6=1/36
(20 POINTS!!!) Richie and his brother have a paper route. Together they can deliver all of the papers in 40 minutes, and Richie can do it alone in 90 minutes. Richie’s brother slept in one day, leaving Richie to deliver alone for 30 minutes. How long must the two of them work together to finish delivering the newspapers?
Simplify equation: 14 - 7y + 5 = 1 + 3y + 24
simplify again: 19 - 7y = 25 + 3y
add -25 and 7y to both sides: -6 = 10y
y = -6/10 or -0.6
2. After 30 minutes, richie has delivered 1/3 of the papers, so they have to deliver the remaining 2/3. Since they can deliver them all in 40 minutes, would the answer be 2/3 of 40? I'm not sure about this.
this one question so plz don't think it is two
It's point A. 4 vertical units away from point M.
Answer: Point A
Step-by-step explanation:
Point M has the same x value as point A and point A is 4 units below it.
Hope it helps <3
FIRST GETS BRAINLLEST If the rectangle below is enlarged by a scale factor of 1.2, what will be the area of the new rectangle? 62 square units 66 square units 72 square units 76 square units
Answer:
72 square units.
Step-by-step explanation: You have to multiply both sides by the scale factor. 5 times 1.2 is 6, and 10 times 1.2 is 12. Then, multiply 6 by 12 to get your area of 66 square units.
What is the solution for x. 4/3x-1/3=9
Answer:
x=7
Step-by-step explanation:
4/3x-1/3=9
Add 1/3 on both sides
4/3x=28/3
Multiply the reciprocal
(3/4)(4/3)x=28/3(3/4)
x=7
Hope this helps !!
i really need this can someone help solve asap!!!
Answer: to find this answer .we need to do pegothogs property
Step-by-step explanation:
30° + 90° = 90 (because it is right angle )
120° - 90° = 30°
Plz mark me as brainlist
thank you :-)
(20 POINTS!!!) Bob can paint a room in 3 hours, and Suzie can paint one in 2 hours. How long will it take them together to paint a room?
Answer:
1 hour 12 minutes or 1.2 hours
Step-by-step explanation:
You add fractions to get this.
1 room/3 hours + 1 room / 2 hours = 1 room / x
0.33333333+0.5 = 1 room / x
0.83333333 = 1 / x Multiply both sides by x
0.83333333x = 1 Divide by 0.8333333
x = 1/0.833333
x = 1.2 hours or
x = 1 hour and 12 minutes
A computer tallied the time to work for 200 days and found it reasonable to normal curve. The main Thomas 35 minutes, and the standard deviation with six minutes. For the 200 workday experiment, find the percent of tonic me to work more than 41 minutes.
Answer:
The probability that computers work more than 41 minutes is 0.15866 or 15.87%.
Step-by-step explanation:
We are given that a computer tallied the time to work for 200 days and found it reasonable to the normal curve. The mean is 35 minutes, and the standard deviation with six minutes.
Let X = the time taken by computer to work for 200 days.
So, X ~ Normal([tex]\mu=35, \sigma^{2} =6^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean time = 35 minutes
[tex]\sigma[/tex] = standard deviation = 6 minutes
Now, the probability that computers work more than 41 minutes is given by = P(X > 41 minutes)
P(X > 41 minutes) = P( [tex]\frac{X-\mu}{\sigma }[/tex] > [tex]\frac{41-35}{6 }[/tex] ) = P(Z > 1) = 1 - P(Z [tex]\leq[/tex] 1)
= 1 - 0.84134 = 0.15866
The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.84134.
NEED ANWSER ASAP! WILL GIVE BRAINLIEST! An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?
Answer:
any way since the sides are the same leangth
Step-by-step explanation:
plz answer asap will mark brainliest
Answer:
10 s'mores
Step-by-step explanation:
20 ÷ 2 = 10
but only if she has enough of the other ingredients too :)
Answer:
10 smore's
Step-by-step explanation:
If 2 graham crackers is required to make 1 smore
then 20 graham crackers will make 10 smore's
2 x 10 = 20
If the variance of a variable is 16, what is the standard deviation?
Answer:
Standard deviation=4
Step-by-step explanation:
Standard deviation = square root of variance
Standard deviation=√variance
Variance=standard deviation square
Variance=standard deviation^2
From the question
Variance=16
Standard deviation=?
Standard deviation=√variance
=√16
=4
Standard deviation=4
check:
If standard deviation=4
Variance=standard deviation^2
=4^2
=16
Therefore,
Standard deviation=√variance
[tex]4[/tex]
VarianceThe variance is a measure of how much each point deviates from the mean on average.The standard deviation of a set of numbers is the distance between them and the mean. (The mean is the arithmetic average of a given group of integers.)To compute the standard deviation, take the square root of the variance.Variance of the variable [tex]=16[/tex]
Standard deviation [tex]=\sqrt{16}[/tex]
[tex]=\boldsymbol{4}[/tex]
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solve by factoring x^2+5x-14=0
Answer: {-7, 2}
Step-by-step explanation: This type of equation is called a polynomial equation and in order to solve for x, we would first factor the left side.
Notice that the left side of the equation is a trinomial in a special
form that can be factored as he product of two binomials.
As our first term for each binomial, we have the factors of x², x · x
and as the second term, we have the factors of -14 that add to 5.
In this case, the factors are +7 and -2.
So we have (x + 7)(x - 2) = 0.
If (x + 7)(x - 2) = 0, that means that either x + 7 = 0 or x - 2 = 0.
Solving for x in each equation, we have x = -7 or x = 2.
We can write our answer as the solution set {-7, 2}.
The solution of quadratic equation is,
⇒ x = - 7, 2
We have to given that,
An equation is,
⇒ x² + 5x - 14 = 0
We can factorized the above quadratic equation as,
⇒ x² + 5x - 14 = 0
⇒ x² + (7 - 2)x - 14 = 0
⇒ x² + 7x - 2x - 14 = 0
⇒ x (x + 7) - 2 (x + 7) = 0
⇒ (x + 7) (x - 2) = 0
This gives,
x + 7 = 0
x = - 7
x - 2 = 0
x = 2
Therefore, The solution of quadratic equation is,
⇒ x = - 7, 2
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Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?
Answer: the first one I’m pretty sure! Due to the hypotenuse being the longest length (13) and you would use the Pythagorean theorem
Step-by-step explanation:
f(x) = 28 + 10x²; solve for f(1) and f(27)
Answer:
f(x) = 28 + 10x²
For f(1) substitute 1 into f(x)
That's
f(1) = 28 + 10(1)²
= 28 + 10
= 38f(27) = 28 + 10(27)²
= 28 + 7290
= 7318Hope this helps you
From the set {20, 30, 35}, use substitution to determine which value of x makes the inequality true. x - 5 > 25 A. 30 B. 20 C. none of these D. 35
Answer:
D. 35
Step-by-step explanation:
20-5>25 = 20>25 incorrect
30-5>25 = 25>25 incorrect
35-5>25 = 20>25 correct
For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7
Answer:
a) 6
Step-by-step explanation:
Expanding the polynomial using the formula:
[tex]$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k $[/tex]
Also
[tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]
I think you mean [tex]210x^6y^4[/tex]
We can deduce that this term will be located somewhere in the middle. So I will calculate [tex]k= 5; k=6 \text{ and } k =7[/tex].
For [tex]k=5[/tex]
[tex]$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$[/tex]
Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just [tex]x^{n-k} y^k[/tex]
For [tex]k=6[/tex]
[tex]$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$[/tex]
HELP ME PLZ NEED ANSWER Which relation is a function? A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin. A coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair. A coordinate grid containing a U shaped graph with arrows on its ends. The U shape opens upwards and the bottom of the U shape is located at the origin. Coordinate grid with graph of a vertical line at x equals 3.
Answer:
A function is a relation in which each input has only one output.
Step-by-step explanation: In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
A function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin which is the correct answer would be an option (A).
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
A function is a coordinate grid with a U-shaped pattern, arrows on both ends that open to the right, and the origin at the bottom of the U.
Because there is only one output of the relation, y, for any input x (1, 2, 3, or 0), is a function of x. Because the input y = 3 contains multiple outputs, including x = 1 and x = 2, x is not a function of y.
Therefore, the function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin.
Hence, the correct answer would be option (A).
Learn more about the functions here:
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Michelle is changing her health care insurance and deciding between two different plans that charge the
same premium. Plan A has a $1,700 deductible with 20% coinsurance. Plan B has a $1,450 with 30%
coinsurance. Michelle had a total of $8,450 in medical bills last year. Under which plan would Michelle's
share have been less? Support your answer with mathematical calculations. Answer in complete
sentence.
plan B would share less
because, 20% of 1700 is 340 and 30% of 1450 is 435
I hope this helps!!
Answer:
plan A
Step-by-step explanation:
Plan A
1700-8450=6750*.20=1350+1700=3050
Plan B
1450-8450=7000*.30=2100+1450=3550
Answer=Plan A
simplify the expression
[tex] - 3(2q + - 6) + - 2q[/tex]
Answer:
-8q +18
Step-by-step explanation:
-3 ( 2q -6) -2q
Distribute
-6q+18-2q
Combine like terms
-8q +18
24 ÷ [ 33- (1+2)^2] = ?
21 + 3 (2-2^2) = ?
[(14+[tex]\sqrt 4[/tex])÷2^3] - 14 = ?
20 + [18÷(4+1)] - (3^2 + 2) = ?
please simplify the expressions using the proper order of operations.
Answer:
Below in bold.
Step-by-step explanation:
24 ÷ [ 33- (1+2)^2]
= 24 / ( 33 - 3^2)
= 24 / 24 = 1.
21 + 3 (2-2^2)
= 21 + 3(2 - 4)
= 21 + 3 * -2
= 21 - 6
= 15.
[(14+√4)÷2^3] - 14
= [ (14 + 2) / 8] - 14
= 16/8 - 14
= 2 - 14
= -12.
20 + [18÷(4+1)] - (3^2 + 2)
= 20 + [18÷ 5] - (9 + 2)
= 20 + 3.6 - 11
= 23.6 - 11
= 12.6.
Find the measure of b.
The lines around the angle is saying that they are corresponding. so the angle of b is 25
Answer:
[tex]\boxed{<b = 25}[/tex]
Step-by-step explanation:
Two angles in the same sector/segment have congruent measures.
So, <b = 25 (These are the two angles in the same segment).
WILL MARK BRAINLIEST! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box
Answer:
d.which is number of candle's in a box
Answer:
number of candies in a box
Step-by-step explanation:
If you're good at trigonometry please help meeee
On a 30-60 set square, the side opposite the 60 degree angle is 80mm long. Find the length of the longest side to the nearest millimetre
Answer:
[tex]\boxed{92 \: \mathrm{mm}}[/tex]
Step-by-step explanation:
sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
sin (60) = [tex]\frac{80}{x}[/tex]
x = [tex]\frac{80}{\mathrm{sin} (60)}[/tex]
x = 92.37604307...
x ≈ 92
Using the base dimension and either given angle you can solve for x
Sin(angle) = opposite leg/ hypotenuse
Sin(60) = 80/x
X = 80/sin(60)
X = 80/ sqrt(3)/2
X = 160/3 x sqrt(3). (This is exact answer)
For a decimal answer: 160/3 = 53 1/3
Multiplied by sqrt(3) = 92.376 mm
Rounded to nearest mm = 92
Can you guys please help me with this? It’s for tomorrow