Answer:
The slope is Negative three-halves and contains the point (0, 2).
Step-by-step explanation:
(-3,-4)(3,0)
M= -4/-6 = 2/3
⊥M = -3/2
0 = 2/3(3) + B
B=2
Helpppppppppppppppppppppppppppppppp
Answer:
11
Step-by-step explanation:
(2x -9) + (x + 2) = 23
2x + x -9 + 2 = 23
3x - 7 = 23
3x = 23 + 7
x = 10
RS = 2x - 9
RS = (2 * 10) - 9
RS = 20 - 9
RS = 11
Which of the following are remote interior angles of _1? Check all that apply.
u A. 25
I B. 26
III C. 21
D. 24
E. 23
F. 22
Answer:
angle 3
angle 2
Step-by-step explanation:
Mathematically, from the angle sum theorem of triangles, the sum of two opposite interior angles of a triangle equals the exterior angle on the third side
Now, for angle 1, it is an exterior angle for angle 4
The two other opposite interior angles that would make angle 1 is simply angles 3 and 2
Rachel has a toy shaped like a triangular pyramid in which the base and the lateral faces are congruent equilateral triangles. The side lengths of the triangles are 4 inches. The height of each triangle is about 3.5 inches. Rachel wants to cover all the lateral surfaces except for the base with yellow paper.
The amount of paper required to cover the lateral surfaces is about square inches. If she wants to cover the entire pyramid with yellow paper, she would require about more square inches of paper.
The amount of paper required to cover the toy is 55.86 square inches.
How do we determine the amount of paper required to cover the toy?parameters given are:
Base length, b = 4 inches
Height, h = 3.5 inches
We calculate that the amount of paper required to cover the toy is known as the surface area:
A = (b²√3/2) + 3(b × h)
A = (4²√3/2) + 3(4 × 3.5)
A = 55.86
In conclusion, if she wants to cover the entire pyramid with yellow paper, she would require about 55.86 square inches.
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In the past year Maya watched 34 movies that she thought were very good. She watched 40 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answer:
90 percent
Step-by-step explanation:
the fraction is 90/100 so the percentage is 90%
April measured her bed and made a scale drawing. The scale of the drawing was 1
centimeter = 6 inches. In the drawing, the bed is 10 centimeters long. What is the
length of the actual bed?
Find the Value of x that makes A parallel to B.
Answer:
x=60
Step-by-step explanation:
100 students are interviewed to see which of biology, chemistry or physics they prefer. 42 of the students are girls. 5 of the girls like biology best. 4 of the boys prefer physics. 13 out of the 21 who prefer chemistry are girls. What percentage of the students prefer biology?
Answer:
A total of 51 people prefer biology, 51%
Step-by-step explanation:
Girls: 42
Boys: 58
Biology: 5 girls and 46 boys(100-42=58, 58-[4+8]=46)
Physics: 4 boys and 24 girls(42-[5+13])
Chemistry: 13 girls and 8 boys(21-13=8)
I think this is the answer...
A normal distribution has \mu = 65 and \sigma = 10. Find the probability that the average score of a group of n = 4 people is between 70 and 75 (both limits included).
Answer:
The probability that the average score of a group of n = 4 people is between 70 and 75=0.13591
Step-by-step explanation:
We are given that
[tex]\mu=65[/tex]
[tex]\sigma=10[/tex]
n=4
We have to find the probability that the average score of a group of n = 4 people is between 70 and 75.
[tex]P(70<\bar{x}<75)=P(\frac{70-65}{\frac{10}{\sqrt{4}}}<\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}<\frac{75-65}{\frac{10}{\sqrt{4}}})[/tex]
[tex]=P(\frac{5}{5}<Z<\frac{10}{5})[/tex]
[tex]=P(1<Z<2)[/tex]
[tex]=P(Z<2)-P(Z<1)[/tex]
[tex]=0.97725-0.84134[/tex]
[tex]=0.13591[/tex]
Hence, the probability that the average score of a group of n = 4 people is between 70 and 75=0.13591
Date
Prove that sintheta sec theta+costheta cosec theta=
2 cosec 2theta
Answer:
See Below.
Step-by-step explanation:
We want to prove that:
[tex]\displaystyle \sin\theta\sec\theta+\cos\theta\csc\theta = 2\csc2\theta[/tex]
Let secθ = 1 / cosθ and cscθ = 1 / sinθ:
[tex]\displaystyle \frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}=2\csc2\theta[/tex]
Creat a common denominator. Multiply the first fraction by sinθ and the second by cosθ. Hence:
[tex]\displaystyle \frac{\sin^2\theta}{\sin\theta\cos\theta}+\frac{\cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]
Combine fractions:
[tex]\displaystyle \frac{\sin^2\theta + \cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]
Simplify. Recall that sin²θ + cos²θ = 1:
[tex]\displaystyle \frac{1}{\sin\theta\cos\theta}=2\csc2\theta[/tex]
Multiply the fraction by two:
[tex]\displaystyle \frac{2}{2\sin\theta\cos\theta}=2\csc2\theta[/tex]
Recall that sin2θ = 2sinθcosθ. Hence:
[tex]\displaystyle \frac{2}{\sin2\theta}=2\csc2\theta[/tex]
By definition:
[tex]\displaystyle 2\csc2\theta = 2\csc2\theta[/tex]
Hence proven.
Is the product of two prime numbers a prime number or a composite
number?
Step-by-step explanation:
No, the product of two (or more) prime numbers cannot result in another prime number. By definition, a prime number is a number that is divisible by 1 or itself - the act of multiplying two or more primes together will always yield a number divisible by 1, itself and the prime numbers multiplied together to achieve it.
Answer:
a composite one
Step-by-step explanation:
Why?
It is easy-peasy.
First, it is impossible to have a prime number. Because primes are only divisible by 1 and themselves.
For example, 3 is a prime. 7 is a prime. Multiply them and get 21.
I hope it helped:)
find the vertex, focus and equation of the directrix for the conic given by (x + 1)^2 = -20(y - 3).
sketch a graph of this conic
Hello,
The conic is a parabola ,
vertex (-1,3)
focus : (-1,-2)
directrix: y=8
equation: y= - 1/20x²-1/10*x+59/20
solution in picture
The vertex is v(-1,3) , focus is f(-1,8) and the equation of directrix is y = -2.
What is a parabola?A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line. The equidistant from a fixed point called the focus (F), and the fixed-line is called the directrix (x + a = 0).
For the given situation,
The standard form of equation of parabola is given by, [tex]y=\frac{1}{4p}(x-h)^{2}+k[/tex]
The vertex is given by [tex]v(h,k)[/tex]
The focus is given by [tex]f(h,k-p)[/tex]
The equation of directrix is given by [tex]y=k+p[/tex]
The given equation is [tex](x+1)^{2} =-20(y-3)[/tex]
On rearranging the given equation in standard form,
⇒ [tex](x+1)^{2} =-20y+60[/tex]
⇒ [tex](x+1)^{2} -60=-20y[/tex]
Divide by 20 on both sides,
⇒ [tex]\frac{(x+1)^{2}}{20} +4 = y[/tex]
⇒ [tex]y=\frac{-1}{(4)(5)} (x+1)^{2} +3[/tex]
On comparing the above equation with the standard form,we get
[tex]p=-5, h=-1, k=3[/tex]
⇒ [tex]k-p=3-(-5)\ =8[/tex]
Hence we can conclude that the vertex is v(-1,3), focus is f(-1,8) and equation of directrix is y=-2.
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The graph of y = x4 – 2x2 + 1 is shown.
On a coordinate plane, a curved line has two minimum values at (negative 1, 0) and (1, 0) and one maximum value. Point A is at (negative 0.5, 0.5), point B is at (0, 1), point C is at (1, 0), and point D is at (1.6, 3).
Which point is a relative maximum?
A
B
C
D
Answer:
B
Step-by-step explanation:
relative maximum
is
the highest point after it comes from infinity
and
the highest point before it goes back to infinity
Need help on this! 10 points!!!
Answer:
C) or 1.25
Step-by-step explanation:
all you have to do is divide (thats how you undo multiplication) 150 and 120 (150/120) leading you to get 1.25.
HOPE THAT HELPED :D
The number of terms in polynomial 2x²+3y+5x²+2y are:
A.2. C.4
B.3. D.5
Can somebody explain with the answer...
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
Given polynomial ⟹ 2x²+3y+5x²+2y
Terms are the values that come after each mathematical sign, like after ➺ +, -, ×, ÷
So,
Terms ⟹ 2x² , 3y , 5x² , 2y
No. of terms ⟹ 4 (option C)
what is the answer to this?
Answer:
29
Step-by-step explanation:
43.25-7=36.25
36.25/1.25=29
A 4-column table with 4 rows. Column 1 is labeled number of friends with entries 3, 5, 7, 9. Column 2 is labeled Carnival Cost with entries 51.5, 75.5, 99.5, 123.5. Column 3 is labeled Aquarium Cost with entries 43.5, 72.5, 101.5, 130.5. Column 4 is labeled Wave Pool Cost with entries 50.25, 61.25, 85.75, 110.25.
Gale wants to compare the cost of the events.
Aquarium: $14.50 each ticket
Carnival: c = 15.5 + 12f
Wave pool: $16.75 each, but $12.25 each for groups larger than 4
Which of the claims Gale makes is true?
The table represents all possibilities.
The carnival always costs the least.
The Aquarium always costs the most.
(7, 101.5) is an ordered pair used to represent the aquarium cost.
Answer:
D.(7, 101.5) is an ordered pair used to represent the aquarium cost.
Hope it helps :)
Step-by-step explanation:
Answer: it is d - (7, 101.5) is an ordered pair used to represent the aquarium cost
Step-by-step explanation: got it right on edge 2022
Given that a:b = 4 : 5 and a : c = 3 : 4,find the ratio of 5b : 3c
Answer:
5b: 3c = 25 : 16
Step-by-step explanation:
[tex] \frac{a}{b} = \frac{4}{5} \: and \: \frac{a}{c} = \frac{3}{4}[/tex]
dividing both to get a : c
[tex] \frac{a}{b} \times \frac{c}{a} = \frac{4}{5} \times \frac{4}{3} \\ \frac{c}{b} = \frac{16}{15} \\ [/tex]
inverting the fractions
[tex] \frac{b}{c} = \frac{15}{16} [/tex]
multiplying the numerator by 5 and denominator by 3
[tex] \frac{5b}{3c} = \frac{5 \times 15}{3 \times 16} \\ = \frac{75}{48} \\ = \frac{25}{16} [/tex]
therefore,
5b: 3c = 25 : 16
____ more than 3455 is two hundred seventy -eight thousand five hundred eighty three
Answer:
275,128
Step-by-step explanation:
"___ more than 3455" is the same as saying "___ added to 3455"
So it will look something like this:
___ + 3,455 = 278,583
Then rearrange the equation to use subtraction to solve it:
278,583 - 3,455 = ____
Plug it in the calculator or solve it by hand, and you have your answer!
(To double check, add 3,455 and 275,128, and you get 278,583)
Hope it helps (●'◡'●)
in how many ways can alice distribute 12 apples to 3 children? each child has to have AT LEAST 1 apple.
Answer:
I think it would be 4 apples for each of them !
Step-by-step explanation:
its division. you had to do 12 ÷ 3
Answer:
The answer is 4 apples per child.
Step-by-step explanation:
If we have 12 apples and 3 children we write as a ratio like this:
12:3
So we have to figure out how many apples each child gets to have.
Next, we cancel out 3 from 12 and 3 which becomes:
4:1
So each child gets 4 apples.
I hope this helps!
Write the following phrase as an expression c less than 27
A C +27
B C -27
C c/27
D 27 - C
Answer:
(D) 27 - C
Step-by-step explanation:
The "less than" means we are subtracting C from 27, so 27 - C.
Hope it helps (●'◡'●)
Help, please answer this for me
Answer:
For this problem, we need to add to the price of the phone (50 $) the cost of the data usage (which is 0.20 $ per minute).
If he spends on average 200 minutes, we can calculate what that costs by multiplying the number of minutes by the cost of each one: 200 * 0.2 = $40
And we can now add to the $50 the $40: 50 + 40 = $90
Answer:
$40
Step-by-step explanation:
$.20×200=$40
it's pretty simple
hey guys, can you help me out?
Answer:
Step-by-step explanation:
it is incorrect at step 3
it should be 12*10^(9-5)
=12*10^4
The manager of a grocery store has selected a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is 1 minute. Refer to Exhibit 8-2. If the confidence coefficient is reduced to .80, the standard error of the mean _____. a. becomes negative b. remains unchanged c. will increase d. will decrease
Answer:
b. remains unchanged
Step-by-step explanation:
Formula for standard error of mean is;
SE = σ/√n
From the above, we can see that the standard error of mean is independent of the confidence coefficient as it doesn't affect the SE.
Now, we are given that;
random sample; n = 100
Standard deviation; σ = 1
Thus;
SE = 1/√100
SE = 1/10
Now, even if the confidence coefficient is reduced, we can see that it has no impact on the standard error of mean.
Thus, SE remains unchanged.
PLS HELP (algebra 1)
solve 4( -15x - 2) + 8
Answer:
-60x
Step-by-step explanation:
If 2x+4=8, what is 9x?
Answer:
hope it will be helpful to you
Answer:
..have a great day ahahahahah
Which property of addition is shown in the equation below?
a+bi+0+0i = a + bi
commutative property
inverse property
identity property
associative property
Answer:
Step-by-step explanation:
is option a correct
The correct property of addition is shown in the equation is,
⇒ Identity property.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The equation is,
⇒ a + bi + 0 + 0i
Now, We know that;
Condition of identity property is,
⇒ a + 0 = a
Thus, The correct property of addition is shown in the equation is,
⇒ Identity property.
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Which of the following graphs is the solution set of -10 < 3x - 4<8?
Answer:
The third one
Step-by-step explanation:
The image above is the explanation, hopefully its help
10-
10
A. Exponential growth
B. Linear increasing
C. Exponential decay
D. Linear decreasing
what's this problem please
Answer:
Option A : 135°Step-by-step explanation:
If the table and ground are to be parallel then,
45° + x = 180° [Co-interior angles]
=> x = 180 - 45
=> x = 135° (Ans) (Option A)
Johnny asks you to guess the specific coins he has in his pocket if he has $3.70 in change. You say you need a little
more information, to guess. So he tells you all he has is quarters and dimes and that he has 22 colns in all.
Answer:
10 quarters and 12 dimes :)
Step-by-step explanation:
