Answer:
180 - 43 = x
the unknown angle is 137 degrees
Find the distance between the given parallel planes. 6z = 2y − 2x, 9z = 2 − 3x + 3y
The Distance between the given parallel planes is 8.84.
According to the statement
we have given that the two parallel planes and we have to find the distance between them.
So, For this purpose, we know that the
First let us find a point on one plane. For this in plane 9z +3x - 3y = 2
assume x = 0 and y = 0 then and hence (0,0,2/9) on this plane.
Now we find the distance between point (0,0,2/9) and plane 6z -2y + 2x =0
So,
As distance from a point to plane is
\(D= \frac{|ax_1+by_1+cz_1+d|}{\sqrt{ (a^2+b^2+c^2)}}\)
And
now substitute the values in then
\(D= \frac{|2*0+ (-2)0+6*2/9+0|}{\sqrt{ 36 +4+4)}}\)
Then the value becomes
\(D= \frac{4/3}{\sqrt{ (44)}}\)
\(D= \frac{4\sqrt{44} }{3}\)
Then solve it
\(D= \frac{26.52}{3}\)
then
D = 8.84
So, The Distance between the given parallel planes is 8.84.
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Solve 2(1-x)>2x
X<0.5
X<2
X>2
X>0.5
Answer:
x < 0.5
Step-by-step explanation:
2(1 - x) > 2x ( divide both sides by 2 )
1 - x > x ( add x to both sides )
1 > 2x ( divide both sides by 2 )
0.5 > x , that is
x < 0.5
[–/2 points] details scalc9 3.2.jit.004.mi. my notes ask your teacher practice another a function is given. f(x) = 3x − 8; x = 2, x = 3 (a) determine the net change betwee
The net change between x = 2 and x = 3 for the function f(x) = 3x - 8 is 3.
To determine the net change, follow these steps:
1. Calculate the value of f(x) for each x-value.
2. Subtract the lower value from the higher value.
Step 1: f(2) = 3(2) - 8 = 6 - 8 = -2 f(3) = 3(3) - 8 = 9 - 8 = 1
Step 2: Net change = f(3) - f(2) = 1 - (-2) = 1 + 2 = 3
So, the net change between x = 2 and x = 3 for the function f(x) = 3x - 8 is 3.
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Evaluate: 12+(-16)+24-18
Answer:
2.
Step-by-step explanation:
12 + (-16) + 24 - 18
= 36 - 34
= 2.
The value of the expression 12+(-16)+24-18 is 2, which can be computed using the commutative property.
What is the commutative property?The commutative property signifies that the order of terms in mathematical expressions does not matters. It applies only to addition and multiplication operations, and not to subtraction and division operations.
How to solve the given question?In the question, we are asked to evaluate: 12 + (-16) + 24 - 18.
By using the commutative property, we can write the expression
12 + (-16) + 24 - 18, as
= 12 + 24 + (-16) - 18
= 12 + 24 -16 - 18
= 36 - 34
= 2
∴ The value of the expression 12+(-16)+24-18 is 2, which can be computed using the commutative property.
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how does a snak moove with no legs
Answer: it slithers
Step-by-step explanation:
To further explain it They move by dragging their body throughout in the form of loops. Hence, snakes have a crawling or slithering type of movement
Answer:
Overlapping belly scales provide friction with the ground that gives snakes a preferred direction of motion, like the motion of wheels or ice skates.
Step-by-step explanation:
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A high school choir is holding a fundraiser for its spring contest trip. the amount each student needs to raise varies as the number of students who participate in the fundraiser. if 50 students participate in the fundraiser, each student needs to raise $275. use this information to complete the statements.
If 100 students participate in the fundraiser, each student needs to raise $137.50.If 25 students participate in the fundraiser, each student needs to raise amount $550.
Amount = (Total Amount Needed) ÷ (Number of Students)
For 60 students:
Amount = $275 ÷ 60 = $4.58
For 75 students:
Amount = $275 ÷ 75 = $3.67
For 40 students:
Amount = $275 ÷ 40 = $6.88
To solve this problem, we need to use a simple equation: Amount = (Total Amount Needed) ÷ (Number of Students). We can then plug in the given information to calculate the amount each student needs to raise. For example, if 50 students participate in the fundraiser, we can calculate that each student needs to raise $275 ÷ 50 = $5.50. We can then use this equation to calculate the amount that each student needs to raise if there are different numbers of students participating in the fundraiser. For example, if there are 100 students participating in the fundraiser, each student needs to raise $275 ÷ 100 = $2.75. Similarly, if there are 25 students participating in the fundraiser, each student needs to raise $275 ÷ 25 = $11.00.
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the selling price of 12 eggs is equal to the cost price of 15 eggs. find the profit percent
Answer:
I believe it would be 25% profit
Step-by-step explanation:
Answer:
ok first thing multiply 15 by the cost of each egg the amount you'll get will be equal to the 12 eggs he sold then check the original price that each egg is supposed to be sold at and multiply it by 12 then subtract the selling price minus the original price to get your profit so to get percentage profit equals profit over original price * 100%
On a plane, 2 men had 135 kilograms of luggage added together. The first paid $1.35 for his excess luggage and the second paid $2.70 for his excess luggage. The charge was at a flat rate. If all of the luggage belonged to one person, the ecess luggage charge would have been $8.10. At most, how many kilograms of luggag is each person permitted to bring onto the plane free of an additional charge?A. 55 kilogramsB. 50 kilogramsC. 45 kilogramsD. 40 kilograms
Let's call the amount of lugagge the first men had as x, and the amount of lugagge the second men had as y.
Since both had to pay for excess of luggage, both had the permitted amount of luggage plus an extra amount. Let's call the permitted amount as a, the extra the first men had as z, and the extra the second man had as w. Then, our total amounts of luggage can be rewritten as
\(\begin{gathered} x=a+z \\ y=a+w \end{gathered}\)Since their total amount of luggage added together was 135 kg, this gives to us the following equation
\(x+y=135\)The charge for the extra luggage is a flat rate, let's call it r, then, the price you pay for the extra luggage is given by the product between this rate and the amount of extar luggage. The first paid $1.35 for his excess luggage and the second paid $2.70 for his excess luggage, therefore
\(\begin{gathered} zr=1.35 \\ wr=2.70 \end{gathered}\)If we divide one equation by the other, we can write the excess of luggage of one as a function of the other.
\(\begin{gathered} \frac{zr}{wr}=\frac{1.35}{2.70} \\ \frac{z}{w}=\frac{1}{2} \\ w=2z \end{gathered}\)If all of the luggage belonged to one person, this person would have to pay $8.10 for the excess. If we call the excess of this person as p, the amount of luggage this person had would be
\(a+p=135\)Using the "rate formula" we created before, we can also write p as a function of z.
\(pr=8.10\Rightarrow\frac{pr}{zr}=\frac{8.10}{1.35}\Rightarrow p=6z\)Rewritting all the total amounts, we have
\(\begin{gathered} a+6z=135 \\ a+2z=y \\ a+z=x \end{gathered}\)If we add the equations for x and y together, we have
\(\begin{gathered} (a+z)+(a+2z)=(x)+(y) \\ a+z+a+2z=x+y \\ 2a+3z=x+y \end{gathered}\)From the first equation, we know that the sum between both total amounts of luggage is equal to 135.
\(\begin{cases}x+y=135 \\ 2a+3z=x+y\end{cases}\Rightarrow2a+3z=135\)Now, we have two equations for our two variables.
\(\begin{cases}2a+3z=135 \\ a+6z=135\end{cases}\)If we multiply the first equation by 2, and subtract the second equation, we're going to get a new equation only for a(the amount in kilograms of permitted luggage).
\(\begin{gathered} 2\cdot(2a+3z)-(a+6z)=2\cdot(135)-135 \\ 4a+6z-a-6z=270-135 \\ 3a=135 \\ a=45 \end{gathered}\)The amount of luggage permitted to bring onto the plane for free is 45 kilograms.
Which statement compares the two numbers correctly? (2 points) Fifty-seven thousand, eight hundred and twenty-two hundredths ________ fifty-seven thousand eight hundred and three tenths Select one: a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths b. Fifty-seven thousand eight hundred and twenty-two hundredths > fifty-seven thousand eight hundred and three tenths c. Fifty-seven thousand nine hundred and three tenths > fifty-seven thousand eight hundred and twenty-two hundredths d. Fifty-seven thousand eight hundred and three tenths = fifty-seven thousand eight hundred and twenty-two hundredths
Answer:
a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths
Step-by-step explanation:
In numbers it is written in the order
Th H Tens Units Decimal Tenths Hundredths Thousandths
57 8 0 0 . 0 22
57 8 0 0 . 3
This could be simply explained that the if we make compare the numbers before the decimal they are same but after the decimal we can analyze
3/10 and 22/100
Converting them into decimals we get
0.3 and 0.22
therefore 0.3 is greater than 0.22
so Choice a is only correct .
a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths
Answer: The person above me is correct
explanation:
I said that because i don't want no one saying that i copied them
What is the experimental probability of the spinner landing on red?.
Answer:
The chances of landing on red are 1 in 4, or one fourth. This problem asked us to find some probabilities involving a spinner
I hope it helps you please mark me as brainlistGiven the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=570(0.98)^x
Answer:
decay
2% decrease
Step-by-step explanation:
The growth factor is the base of the exponent: 0.98. Its relation to the rate of change is ...
growth factor = 1 + rate of change
0.98 = 1 + (-0.02)
So, the rate of change is -0.02 = -2%. Since the rate of change is a 2% decrease, it represents decay.
Select the table that represents a proportional relationship between X and Y
The answer is A
Step-by-step explanation:
Which graph represents the function
f(x)=√x+3-4
Answer:
I believe it is the last option but I'm not completely sure because the pic is blurry. But if the beginning of the graph is at (-3, -4) then the last option is definitely correct.
Step-by-step explanation:
Remember h controls horizontal movement k controls vertical movements.
always remember to take the opposite of h.
;)
Simplify the expression given below.
X+2/x^3+2x^2-9x-18 divided by 3x+1 / x^2-9
A. 1 / (x+3)(x-3)
B. 3x +1
C. 1 / 3x+1
D. 3x + 1 / (x+3) (x-3)
Answer:
D
Step-by-step explanation: your welcome have a good day
Answer:
C. \( \dfrac{1}{3x + 1} \)
Step-by-step explanation:
\( \dfrac{x + 2}{x^3 + 2x^2 - 9x - 18} \div \dfrac{3x + 1}{x^2 - 9} = \)
Factor all polynomials.
\( = \dfrac{x + 2}{x^2(x + 2) -9(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} \)
\( = \dfrac{x + 2}{(x^2 - 9)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} \)
\( = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} \)
To divide by a fraction, multiply by its reciprocal.
\( = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \times \dfrac{(x + 3)(x - 3)}{3x + 1} \)
Cancel out common factors in the numerator and denominator.
\( = \dfrac{1}{3x + 1} \)
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Answer:
A
Step-by-step explanation:
You know that the negative number with the largest magnitude is farthest to the left on the number line.
3/4 = 9/12
2/3 = 8/12
Then 3/4 > 2/3, so ...
-3/4 < -2/3
5. Artie uses 1 1/3 yards of rope to make the bottom of his hammock stronger He uses 10 inches of rope to strengthen some areas of the hammock. much rope, in yards and in inches, does Artie use all? 1 11/18 yards and 58 inches . 1 3/7 * y yard and 54 inches C. C. 1 1/8 and 48 inches . 1 1/2 yard and 64 inches 64 inches
What is a correct expansion of (4x+1)(2x^2-2)
A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)
B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)
Answer: B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
Step-by-step explanation: Hope this help :D
Answer:
A. 4x * 2x^2 + 4x * (-2) + 1 * 2x^2 + 1 * (-2)
Step-by-step explanation:
We have the binomial (4x + 1)(2x^2 - 2) and are asked to see how it looks like expanded.
When solving binomials, we need to follow the FOIL method :
First - First number in first parenthesis multiplied by first number in second parenthesis
Outer - First number in first parenthesis multiplied by second number in second parenthesis
Inner - Second number in first parenthesis multiplied by first number in second parenthesis
Last - Second number in first parenthesis multiplied by second number in second parenthesis
If we follow the definitions given, we can find our correct answer and also see where all the other answers mess up at :
A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)
This follows FOIL entirely from start to finish.
B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
This did not follow the Inner part of FOIL.
C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)
This did not follow the Outer part of FOIL.
A man from a village X on a bearing of 060 degree to a village Y which is 20km away.From Y,he travels to a village Z,on a bearing of 195 degree. If Z is directly east of X , calculate, correct to three significant figure the distance of Y from Z and Z from X
Distance from Y to Z is 10.4 km and Z to X is 20 km
What is Distance?Distance is a numerical measurement of how far apart objects or points are.
What is Triangle?A triangle is a polygon with three edges and three vertices.
From the given data plot the graph,
Then,
∠XYZ=∠YZX=75 degrees
Therefore XY=XZ=20 km
\(YZ^{2}=20^{2} +20^{2} -2(20)(20)cos30\)
YZ=10.4 km
Hence, Distance from Y to Z is 10.4 km and Z to X is 20 km
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Answer:
Step-by-step explanation:
suppose you are ordering a calzone from d.p. dough. you want 6 distict toppings, chosen from their list of 8 vegetarian toppings. how many choices do you have for calzone?
To order a calzone with 6 distinct topping from available list of 8 vegetarian toppings, number of choices of calzone available is 28.
Therefore, the answer is 28.
Total number of available toppings equals 8 and the number of toppings selecting is 6.
The number of ways calzone can be chosen with 6 distinct topping from 8 vegetarian toppings can be obtained by combination formula.
nCm = n!/ (m! × (n - m)!)
Therefore, the number of ways = nCm
= 8C6
= 8!/ (6! × (8 - 6)!)
= 8!/ (6! × 2!)
= (8 × 7)/ 2
= 28
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john has walked 15% of the way home from school. if he has walked 54 yards so far, how far does he walk home from school
Answer: John walks a total of 360 yards from school.
Step-by-step explanation:
Let's represent the total distance John walks from school as "x".
According to the problem, John has already walked 15% of the way, which can be written as:
0.15x
We also know that he has walked 54 yards so far, which means:
0.15x = 54
To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:
x = 54 ÷ 0.15
x = 360
Therefore, John walks a total of 360 yards from school.
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To begin the graphing process, rewrite this inequality so y is by itself: 3x − 4y ≥ 24. Select the correct answer.y ≥ -3/4x, y ≤ -3/4x + 6 + 6, y ≥ 3/4x – 6, y ≤ 3/4x – 6
Answer:
d. y ≤ 3/4x -6
Step-by-step explanation:
3x -4y ≥ 24
-4y ≥ -3x +24 subtraction property
y ≤ 3/4x -6 division property (change the direction of the symbol)
Answer:
Part A
y ≤ 3/4x – 6
the last option
Part B
answer is in the attachment
Part C
(-2,-8)
(8,0)
(4,-4)
Step-by-step explanation:
Part A
Use the properties of inequalities to rewrite the inequality:
3x − 4y ≥ 24
-4y ≥ -3x + 24 subtraction property
y ≤ x – 6 division property (change the direction of the symbol)
Part B
Plot the boundary line, which will be solid because the inequality is non-strict. Use either the equation 3x − 4y = 24 or y=3/4x-6
Next, use a test point, such as (0,0), to determine where to shade:
3(0) − 4(0) ≥ 24
0 ≥ 24
The result is false, so shade on the opposite side of the boundary line.
Part C
Use the graph of the inequality to determine whether each point lies in the solution set.
For this non-strict inequality, any point in the shaded region or on the line is a solution. So (8,0), (4,-4), and (-2,-8) are all solutions to the inequality.
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Combine like terms to create an equivalent expression. 1.3 b 7.8 − 3.2 b
The equivalent expression is -1.9b + 7.8.
What is an equivalent phrase?There is a concept known as an analogous expression, which is an expression that has the same value as another expression but has a different appearance.
Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
Combine similar phrases now:
The definition of like words is the terms that have the same variable raised to the same power. Only the numerical coefficients can change in algebra.
When we combine the term b's coefficient, we get
1.3b + 7.8–3.2b
= (1.3−3.2)⋅b + 7.8
By condensing the equation, we obtain
= (- 1.9) +b + 7.8
= −1.9b + 7.8
There is a condensed equivalent formula of -1.9b + 7.8.
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Based on this data, the difference in the dollar value of Assistantship (Stipend) between these two fields is how many standard errors away from the hypothesized difference?
t-Test : Two-sample assuming unequal variances
Assistantship (stipend) Assistantship arts (stipend) science
Mean 24041.62203 25952.36501
variance 621483.0801 615193.5853
observations 521 479
hypothesized mean different 0
df 992
t stat -38.39036076
P(T<=t) one tail 1.1775E-198
t critical one-tail 1.646391129
P(T<=t) two tail 2.3551E-198
t critical two-tail 1.962358258
The difference in the dollar value of Assistantship (Stipend) between art and science fields with standard errors is equal to 1.214.
Mean 24041.62203 25952.36501
Sample mean difference between Assistantship (stipend) in arts and science is equal to
= $25952.36501 - $24041.62203
= $1910.74298.
Hypothesized mean difference is 0 (there is no difference in stipend between the two fields).
Variance 621483.0801 615193.5853
Sample size 521 479
Standard error of the difference is,
=√[(variance in arts / sample size in arts) + (variance in science / sample size in science)]
= √[(615193.5853 / 479) + (621483.0801 / 521)]
= $49.77
t-statistic
= (sample mean difference - hypothesized mean difference) / standard error of the difference
Substitute the values into the t-statistic formula,
⇒ t-statistic = ($1910.74298 - 0) / $49.77
⇒ t-statistic = 38.39
t-critical value for a two-tailed test with 992 degrees of freedom at a significance level of 0.05 is 1.9624.
t-statistic (38.39) > t-critical value (1.9624)
⇒Reject the null hypothesis that there is no difference in stipend between the two fields.
standard errors
= t-statistic / √(sample size)
= 38.39 / √(479 + 521)
= 38.39 /31.62
=1.214
Therefore, the difference in the dollar value of Assistantship (Stipend) between these two fields is 1.214 standard errors away from the hypothesized difference.
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The graphs of y=f(x) and g(x) are shown below: a: -5 and 6 b: 4 and 7 c: -3,-1, and 4 d: -3,1,3 and 5
I need help can anyone help me please
Answer:
56
Step-by-step explanation:
so a straight line has an angle that is 180 degrees
the angle on both sides of X are 64 and 60
so add those up u get 124
get the whole angle of 180 and subtract 124 and u get 56
If $y>0$, find the range of all possible values of $y$ such that $\lceil{y}\rceil\cdot\lfloor{y}\rfloor
Range is R={n^2: n is natural number} U {n(n+1) : n is natural number}
The expression ⌈y⌉⋅⌊y⌋ represents the product of the ceiling and floor functions of y.
To find the range of all possible values of y, we need to consider the possible values of the ceiling and floor functions individually.
1. Ceiling function (⌈y⌉): This function rounds y up to the nearest integer. Since y is greater than 0, the ceiling of y will always be greater than or equal to y.
2. Floor function (⌊y⌋): This function rounds y down to the nearest integer. Again, since y is greater than 0, the floor of y will always be less than or equal to y.
Now, let's consider the product of the ceiling and floor functions, ⌈y⌉⋅⌊y⌋.
The product ⌈y⌉⋅⌊y⌋ will always be greater than or equal to 0 since y > 0 and this can take only integral values.
Therefore, the range of all possible values of y such that ⌈y⌉⋅⌊y⌋ is the set R={n^2: n is natural number} U {n(n+1): n is natural number}
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f(x)=3-2x g(x)=x+1\4 find fg(x) note: 4 is denominator for x+1
Step-by-step explanation:
you can ask questions for clarification
A square pyramid and its net are shown below. What is the surface area of the pyramid?
17 cm
16 cm
Type the answer in the box.
square centimeters
17 cm
16 cm
...15 sm
15 cm.
Check the picture below.
so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.
\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)
4^2x4^3x4^5/4^10
write as a single power, then evaluate.
Answer:
1
Step-by-step explanation:
Add the exponents before the division
4^2 x 4^3 x 4^5 is equal to 4^10 just add them
Now we must divide 4^10 by 4^10
The answer is 1
a path forms a diagonal of a rectangular city park. a bench is placed along the path at a point that is closest to the fountain. this point is 30 yards from one end of the path and 50 yards from the other end of the path what is the distance from the bench to the fountain to the nearest yard
The answer: 39 yards