Answer:
B
Step-by-step explanation:
using the equation y=2000*1.2^8 we can get the exact value of y which aligns with b
Please answer this fast in two minutes now
Answer:
18.3Step-by-step explanation:
from cosines theorem:
t² = 11² + 14² - 2•11•14•cos87°
t² = 121 + 196 + 308•0.05236
t² = 333.12688
t = √333.12688
t = 18.2517... ≈ 18.3
Which of the following statements would be represented with P → Q? Question 14 options: A) x = 5 if and only if y = 9. B) x = 5, and 2x ≠ 8. C) x = 5, but y = 9. D) If x = 5, then 2x = 10.
======================================================
Explanation:
Writing [tex]P \to Q[/tex] is another way of saying "if P, then Q".
P and Q are placeholders. Instead of holding numbers, they hold statements. The statements can be anything you want (generally they should be something that can be verified).
The two statements are
P: x = 5
Q: 2x = 10
So the format "if P, then Q" turns into "if x = 5, then 2x = 10" after replacing P and Q with the proper definitions.
Side note: it might help to think of the "search and replace" feature in many word documents.
When results from a scholastic assessment test are with their scores are also given. Suppose a test-taker scored at the 78th percentile for their verbal sent to test-takers, the percentiles associated 26) grade and at the 34th percentile for their quantitative grade. Interpret these results.
A) This student performed better than 22% of the other test-takers in the verbal part and better
B) This student performed better than 78% of the other test-takers in the verbal part and better
C) This student performed better than 22% of the other test-takers in the verbal part and better
D) This student performed better than 78% of the other test-takers in the verbal part and better than 66% in the quantitative part. than 34% in the quantitative part.
Answer:
B) This student performed better than 78% of the other test-takers in the verbal part and better than 34% in the quantitative part.
Step-by-step explanation:
In Statistics, Percentile refers to how specific variables can be divided according to the distribution of values in a population of 100 equal groups.
The data value of a given percentile can be determined as 100 times the cumulative relative frequency of that value.
From the given question.
Suppose a test-taker scored at the 78th percentile for their verbal sent to test-takers, the percentiles associated grade and at the 34th percentile for their quantitative grade.
This implies that ;
The student score shows the relation between a particular score of :
78% and the scores of the rest of a group for the verbal test takers &
34% and the scores of the rest of a group for the quantitative test takers.
Therefore; we can conclude that ;
This student performed better than 78% of the other test-takers in the verbal part and better than 34% in the quantitative part.
Please help me.. I'm very confused about this
Answer:
C
Step-by-step explanation:
1:draw a very simple Cartesian plane for the graph
2:label the quadrants 1-4 from top right round to bottom right as 4
3:then apply x>0 (1,2) is top right and y<0 is bottom right (-1,-2)
Write an equation of the line that passes through the point (–4, 6) with slope –4.
Answer:
y = - 4x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 4 , thus
y = - 4x + c ← is the partial equation
To find c substitute (- 4, 6) into the partial equation
6 = 16 + c ⇒ c = 6 - 16 = - 10
y = - 4x - 10 ← equation of line
Answer:
y = -4x+10
Step-by-step explanation:
Using the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = -4x +b
Substituting the point in
6 = -4(-4) + b
6 = 16+b
Subtract 16 from each side
-10 =b
The equation is
y = -4x+10
Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. What is the expected value of the number shown if we add one additional $9$ to the bag?
Using the standard calculation, the expected value is 46/11.
Please help I need to finish this before I can take my final
Options:
A) f(x), g(x), h(x)
B) g(x), f(x), h(x)
C) h(x), g(x), f(x)
D) g(x), h(x), f(x)
Answer: D
Step-by-step explanation: Plug in 0 for x and solve. Then plug in 4 for x and solve. Compare the results. Which function has the smallest difference in output? Which has the greatest difference in output?
For each function, state the vertex and whether the function has a maximum or minimum value. Explain how you decided? f(x) = -(x + 1)^2 + 6
Answer:
maximum value at (- 1, 6 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then minimum value
• If a < 0 then maximum value
y = - (x + 1)² + 6
with (h, k) = (- 1, 6 ) and a = - 1
Thus vertex = (- 1, 6 ) and is a maximum
Need help on these appreciate it
Answer:
Circle B:
[tex](x+4)^2+(y+3)^2=4[/tex]
Circle F:
[tex](x-4)^2+(y-1)^2=16[/tex]
Step-by-step explanation:
We can write the equation of a circle equation with center on (h,k) and radius r as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Then, we analyze the circle will have for the circle B:
- It has a center in x=-4 and y=-3.
- It radius can be calculated from the distance from the center (x,y)=(-4,-3) to one of its points (x,y)=(-4, -1). Then, its radius is r=2.
Then, we can write the equation as:
[tex](x-h)^2+(y-k)^2=r^2\\\\h=-4\\k=-3\\r=2\\\\(x+4)^2+(y+3)^2=4[/tex]
we analyze the circle will have for the circle F:
- It has a center in x=4 and y=1.
- It radius can be calculated from the distance from the center (x,y)=(4, 1) to one of its points (x,y)=(0, 1). Then, its radius is r=4.
Then, we can write the equation as:
[tex](x-h)^2+(y-k)^2=r^2\\\\h=4\\k=1\\r=4\\\\(x-4)^2+(y-1)^2=16[/tex]
Which of the following equations have infinitely many solutions? Choose All that apply. A: 37x-37=37x-37 B: 74x-37=74-37 C: 73x-37=73x-37 D: x-37=x-37
Answer:
(A), (C) and (D).
Step-by-step explanation:
An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance [tex]4x+4=4x+4[/tex]. (You can test this with any value of x and find that they all work!)
So to find the equations that have infinite solutions, we need to see which have the same exact sides.
[tex]37x-37 = 37x-37[/tex] have the same thing on each side: [tex]37x-37\\[/tex], so this has infinite solutions.
[tex]74x-37 = 74-37[/tex] does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1)
[tex]73x-37 = 73x-37[/tex] has the same thing on each side: [tex]73x-37[/tex], so this has infinite solutions.
And finally, [tex]x-37=x-37[/tex] has the same thing on each side: [tex]x-37[/tex], so it has infinite solutions.
Hope this helped!
Answer:
question is not clear please send clear question
After which transformation of △ABC would the image △A'B'C' not have the same area?
Answer:
. reflection across the y-axis followed by a rotation 90° clockwise about the origin
2. rotation 180° clockwise about the origin followed by a reflection across the line y = -x
Step-by-step explanation:
Dilation of △ABC rotation 180° clockwise about the origin followed by a reflection across the line y = -x,
Reflection across the y-axis followed by a rotation 90° clockwise about the origin.
What is Dilation?Dilation is a process for creating similar figures by changing the size.
In transformation of △ABC,
Dilation of △ABC rotation 180° clockwise about the origin followed by a reflection across the line y = -x,
Reflection across the y-axis followed by a rotation 90° clockwise about the origin.
Hence, the image △A'B'C' not have the same area.
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Find the inner product for (5, 2)×(-3, 7) and state whether the vectors are perpendicular. a. 1; no b. 1; yes c. -1; no d. -1; yes
Answer:
c. -1; no
Step-by-step explanation:
The inner product of 2 vector (a,b) and (c,d) is:
(a,b)(c,d) = a*c + b*d
If the inner product is equal to 0, the vectors are perpendicular.
So, the inner product of (5,2) and (-3,7) is equal to:
(5, 2)×(-3, 7) = 5(-3) + 2(7) = -1
The inner product is -1, it is different to 0, so the vectors are not perpendicular.
Use the quadratic form to solve 6x^2+3x+2=0.
Answer:
Hello!!...
I hope its helpful to you...
Helps is needed
Malita wants to prove that the interior angles of any triangle sum to 180°. She draws a
line through one vertex parallel to the opposite side, and then she labels all the angles
formed.
Drag a statement to match each reason in Malita's two-column proof in the table
below.
Answer:
See explanations and diagram attached.
Step-by-step explanation:
1. angle 4 = angle 3, and angle 5 = angle 2 alternate interior angles with red line parallel to side opposite angle 1
3. angle 1 + angle 4 + angle 5 = 180 because these angles lie on a straight line.
Find the equation of the line that passes through (-1,5) and is perpendicular to y – 5x = 1.
The answer is
[tex]y = - \frac{1}{5} x + \frac{24}{5} [/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
y - 5x = 1
y = 5x + 1
Comparing with the above formula
The slope / m of the line is 5
Since the is perpendicular to y = 5x + 1 it's slope it's the negative inverse of y = 5x + 1
That's
Slope of the perpendicular line = - 1/5
Equation of the line using point (-1,5) is
[tex]y - 5 = - \frac{1}{5} (x + 1)[/tex]
[tex]y - 5 = - \frac{1}{5} x - \frac{1}{5} [/tex]
[tex]y = - \frac{1}{5} x - \frac{1}{5} + 5[/tex]
We have the final answer as
[tex]y = - \frac{1}{5} x + \frac{24}{5} [/tex]
Hope this helps you
Answer:
[tex]\huge\boxed{y=-\dfrac{1}{5}x+\dfrac{24}{5}\to x+5y=24}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
Let
[tex]k:y=m_1x+b_1;\ l:y=m_2x+b_2[/tex]
therefore
[tex]k||l\iff m_1=m_2\\k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}[/tex]
We have the equation of a line in the standard form. Convert it to the slope-intercept form:
[tex]y-5x=1[/tex] add 5x to both sides
[tex]y-5x+5x=1+5x\\\\y=5x+1\to m_1=5;\ b_1=1[/tex]
Calculate the slope:
[tex]m_2=-\dfrac{1}{5}[/tex]
Substitute the value of a slope and the coordinates of the given point (-1, 5) to the equation of a line:
[tex]y=m_2x+b[/tex]
[tex]5=\left(-\dfrac{1}{5}\right)(-1)+b[/tex]
[tex]5=\dfrac{1}{5}+b[/tex] subtract 1/5 from both sides
[tex]5-\dfrac{1}{5}=\dfrac{1}{5}-\dfrac{1}{5}+b[/tex]
[tex]\dfrac{25}{5}-\dfrac{1}{5}=b\\\\\dfrac{24}{5}=b\to b=\dfrac{24}{5}[/tex]
Final answer:
[tex]y=-\dfrac{1}{5}x+\dfrac{24}{5}[/tex]
convert to the standard form (Ax + By = C):
[tex]y=-\dfrac{1}{5}x+\dfrac{24}{5}[/tex] multiply both sides by 5
[tex]5y=(5)\left(-\dfrac{1}{5}x\right)+(5)\left(\dfrac{24}{5}\right)[/tex]
[tex]5y=-x+24[/tex] add x to both sides
[tex]x+5y=24[/tex]
please answer this question now
Answer:
≈ 94.9 mi²
Step-by-step explanation:
The area (A) of Δ WXY can be calculated as
A = [tex]\frac{1}{2}[/tex] × WY × WX × sinW
∠ W = 180° - (40 + 21)° = 180° - 61° = 119°
Calculate WX using the Sine rule, that is
[tex]\frac{11}{sin21}[/tex] = [tex]\frac{WX}{sin40}[/tex] ( cross- multiply )
WX sin21° = 11 sin40° ( divide both sides by sin21° )
WX = [tex]\frac{11sin40}{sin21}[/tex] ≈ 19.73 mi , thus
A = 0.5 × 11 × 19.73 × sin119° ≈ 49.9 mi² ( to the nearest tenth )
Plz help me the question is in the picture below
Answer:
function 2
Step-by-step explanation:
To do this you would already know that the first function's slope is 1 since r represents the x in slope intercept form. 2 will just be 1/1.1 since if you do y2-y1/x2-x2 you get 1/1.1 as the slope so function 2 will have a greater slope
A shoemaker makes three new souls every four minutes another shoemaker made to souls every three minutes what was the difference in the number souls they made in an hour
Answer:
15 soulsStep-by-step explanation:
If a shoemaker makes three new souls every four minutes, the number of soles he will make in an hour can expressed as shown;
3 souls = 4 minutes
x souls = 1hour (60 minutes)
Cross multiplying to get the number of souls;
4 * x = 3 * 60
4x = 180
x = 180/4
x = 45souls
Hence the number of souls made by this shoemaker in an hour is 45 souls.
Similarly, If another shoemaker makes two new souls every three minutes, the number of soles he will make in an hour can expressed as shown;
2 souls = 3 minutes
y souls = 1hour (60 minutes)
Cross multiplying to get the number of souls;
3 * y = 2 * 60
3y = 120
y = 120/4
y = 30souls
Therefore the number of souls made by this shoemaker in an hour is 30 souls.
The difference in the number souls they made in an hour will be x - y where x = 45 souls and y = 30 souls.
x - y = 45 - 30
The difference is equal to 15 souls
Barry also looks into the cost of repaying an easy access loan for $1000. The up-front cost of the loan is $3 for every $20 borrowed, plus the original $1000. How much will this loan cost Barry in interest.
Answer:
Barry has to pay back $1150
Step-by-step explanation:
We can set up an equation to help solve this problem
x is the amount he has to pay back
x=1000+3(1000/20)
1000/20 lets us know how many times he borrowed 20 dollars
x=1000+3(50)
x=1000+150
x=1150
Barry has to pay back $1150
If Barry also looks into the cost of repaying an easy access loan for $1000. The up-front cost of the loan is $3 for every $20 borrowed, plus the original $1000. Then Barry has to pay back $1150.
What is Equation?Two or more expressions with an equal sign is called as Equation.
We can set up an equation to help solve this problem
x is the amount he has to pay back.
x=1000+3(1000/20)
1000/20 lets us know how many times he borrowed 20 dollars
x=1000+3(50)
x=1000+150
x=1150
Hence, Barry has to pay back $1150.
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Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
of this triangle?
O 5cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
8 cm and 9 cm
Answer:
Choice D - 8cm and 9cm.
Step-by-step explanation:
The other sides are not greater than 13.
A: 5 + 8 = 13
B: 6 + 7 = 13
C: 7 + 2 = 9
However, D is greater than 13 and is the correct answer.
D: 8 + 8 = 16.
Option d: 8 cm and 9 cm.
There is a theorem in mathematics stating:
" The sum of length of two sides of any triangle is greater than the rest third side"
According to that theorem, first three given options cant form the sides of the given triangle whose one side is 13 cm.
The 4th option has 8 cm and 9 cm for which we have:
8 + 9 > 13
Thus this option follows the theorem.
Hence fourth option is correct.
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Between two whole which pairs of numbers does √5 lie on the number line?
Answer:
2, 3
Step-by-step explanation:
5 lies between 2 perfect squares 4 and 9.
√4 < √5 < √9
√4 = 2
√9 = 3
2 < √5 < 3
greatly appreciate help :) picture below
Answer:
The answer is None.
Step-by-step explanation:
I took the test on FLVS and I got the answer right.
I hope this helps. I am sorry if you get this wrong.
Answer:
None. Say the obtuse angle is 100 degrees. Since the sum of all angles in a triangle cannot be bigger than 180, it's not possible because 195 (100+95) is greater than 180 degrees.
Step-by-step explanation:
What is the volume of a cylindrical garbage pail with a radius of 10 centimeters and a height of 50 centimeters?
Answer:
500[tex]\pi[/tex] or around 1570
Step-by-step explanation:
The formula for a volume of a cylinder is [tex]r^{2}h\pi[/tex]
The cylindrical garbage pain has a volume of 15700 cm².
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Curved surface area = 2πrh.
Total surface area = 2πr(h + r).
The given cylindrical garbage has a radius(r) = 10 cm and a height(h) of
50 cm.
∴ The volume of the cylindrical garbage is = π(10)²×50 cm².
= 5000π cm².
= 15700 cm².
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Please answer this question now
Answer:
s = 11.4
Step-by-step explanation:
The following data were obtained from the question:
Angle S = 60°
Opposite S = s =?
Opposite U = u = 13
Opposite T = t = 5
Thus, from the data obtained from the question, we can calculate the value of s by using cosine rule as shown below:
s² = u² + t² – 2ut Cos S
s² = 13² + 5² – 2 × 13 × 5 × Cos 60
s² = 169 + 25 – 130 × 0.5
s² = 194 – 65
s² = 129
Take the square root of both side.
s = √129
s = 11.4
Therefore, the value of s is 11.4
Helpp pleaseeeeeeeeeeee
Work Shown:
sin(angle) = opposite/hypotenuse
sin(40) = 24/x
x*sin(40) = 24
x = 24/sin(40)
x = 37.33737184465
x = 37.3
When you use your calculator, make sure it is in degree mode. One way to check is to compute something like sin(30) and you should get 0.5
Answer:
x = 37.3
Step-by-step explanation:
for the specified angle, the ratio of the length of the side that is opposite that angle to the length of the longest side (hypotenuse) of the triangle, it is sine.
[tex]\sin40^o=0.6428[/tex]
From triangle [tex]\sin40^o=\dfrac{24}x[/tex]
so:
[tex]0.6428=\dfrac{24}x\\\\0.6428\,x=24\\\\x=24\div0.6428=37.336652....\approx37.3[/tex]
PLEASE HELP ME GUYS!! In a complete sentence, describe the angle relationship between ∠DAE and ∠EAF. Then write and solve an equation based on the relationship you identified in order to find the measure of ∠DAE.
Answer:
Hey there!
Angle DAE and EAF are complementary angles, meaning that they add to 90 degrees.
Thus, we have 65+x=90
Solving for x we have 25.
Hope this helps :)
how to do this question plz answer me step by step plzz
Answer:
30, 85, 95, 150
Step-by-step explanation:
The angles of a quadrilateral add to 360
Let x be the smallest angle
x+55
x+65
x+120 are the other three angles
Add the 4 angles together and they sum to 360
x+x+55 x+65+ x+120 = 360
Combine like terms
4x+240 = 360
Subtract 240 from each side
4x+240-240 = 360 -240
4x = 120
Divide by 4
4x/4 = 120/4
x = 30
x+55= 30+55 = 85
x+65 = 30+65 = 95
x+120 = 30+120 = 150
Item 25 The linear function m=45−7.5b represents the amount m (in dollars) of money that you have after buying b books. Select all of the values that are in the domain of the function. 0 1 2 3 4 5 6 7 8 9 10
Answer:
[tex]Domain: \{0,1,2,3,4,5,6\}[/tex]
Step-by-step explanation:
Given
[tex]m = 45 - 7.5b[/tex]
[tex]Values: \{0,1,2,3,4,5,6,7,8,9,10\}[/tex]
Required
Select all values that belongs to the domain of the given function
Analyzing the question;
The question says that the function, m represent the amount left after buying b number of books
This means that, after purchasing b books, I'm expected to have a certain m amount of dollars left with me;
This implies that the value of m can never be negative;
So, the domain of m are values of b such that [tex]m \geq 0[/tex]
When b = 0
[tex]m = 45 - 7.5(0)[/tex]
[tex]m = 45 - 0[/tex]
[tex]m = 45[/tex]
When b = 1
[tex]m = 45 - 7.5(1)[/tex]
[tex]m = 45 - 7.5[/tex]
[tex]m = 37.5[/tex]
When b = 2
[tex]m = 45 - 7.5(2)[/tex]
[tex]m = 45 - 15[/tex]
[tex]m = 30[/tex]
When b = 3
[tex]m = 45 - 7.5(3)[/tex]
[tex]m = 45 - 22.5[/tex]
[tex]m = 22.5[/tex]
When b = 4
[tex]m = 45 - 7.5(4)[/tex]
[tex]m = 45 - 30[/tex]
[tex]m = 15[/tex]
When b = 5
[tex]m = 45 - 7.5(5)[/tex]
[tex]m = 45 - 37.5[/tex]
[tex]m = 7.5[/tex]
When b = 6
[tex]m = 45 - 7.5(6)[/tex]
[tex]m = 45 - 45[/tex]
[tex]m = 0[/tex]
When b = 7
[tex]m = 45 - 7.5(7)[/tex]
[tex]m = 45 - 52.5[/tex]
[tex]m = -7.5[/tex]
There's no need to check for other values, as they will result in negative values of m;
Hence, the domain of m are:
[tex]Domain: \{0,1,2,3,4,5,6\}[/tex]
The values that are in the domain of the function are 7, 8, 9 and 10
Linear functionsGiven the linear function m=45−7.5b
where:
b represents the amount m (in dollars) of moneyFor th domain to exist, then;
45 - 7.5b< 0
7.5 b > 45
b > 45/7.5
b > 6
Hence the values that are in the domain of the function are 7, 8, 9 and 10
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PLZ HELP The slope of the graph of a direct variation function is 4. What is the equation of the function? y = 4 x + 1 y = 1/4 x y = -4 x y = 4 x
Answer:
y = 4x
Step-by-step explanation:
A direct variation is written in the form
y = kx where k is the constant of variation ( or the slope)
y = 4x
Answer:
d. y = 4 x
Step-by-step explanation:
A direct variation
1. has no y-intercept
2. has a constant positive slope.
Out of
y = 4 x + 1 [has y-intercept of +1]
y = 1/4 x [direct variation with a slope of 1/4, not 4]
y = -4 x [has a negative slope]
y = 4 x [direct variation with slope of 4]
Please help me someone
Answer:
260 cm^2
Step-by-step explanation:
The area of a parallelogram is given by this formula:
● A= b*h
b is the base and h is the heigth.
The heigth of this parallelogram is 13 cm and its base is 20cm.
●A= 13*20 = 260 cm^2