Answer:
She can refill 2 cages.
Step-by-step explanation:
Since Megan puts 1/3 of a kilogram of bird seed in each bird cage, she can fill 2 cages.
Answer: she can fill 2 times the amount of cages she has.
say: x=the cages
so 2x/ 2 times of the cages
hope this helps! i tried :)
Find the value of z such that 0.04 of the area lies to the left of z. Round your answer to two decimal places.
Answer: The value of z is -1.75.
Step-by-step explanation:
Given: P(Z<z)=0.04
To find the value of z such that 0.04 of the area lies to the left of z.
We will use z-score table to get the value of z here.
IN z-score table, we have
For P(Z<-1.7507)=0.04
Hence, the value of z is -1.7507.
Its approximate value is -1.75
So the final answer is z=-1.75.
Which expression is equivalent to √-80? 0 -4ſ5 O -4.5 O 4.5 O45
Answer:
None.
Step-by-step explanation:
There is no expression for the square root of negative numbers. In other words it is undefined.
Answer:
4√5
Step-by-step explanation:
can i gets help with this 2x^2 – 9x + 2 = –1
Consider functions p and q.
On which interval are both functions increasing?
(See Below)
Answer:
(-2, 3)
Step-by-step explanation:
Function given in the graph 'p' is increasing from x = -2 to x = ∞.
Another function 'q' represented by the equation is,
q(x) = -|x - 3| + 4
By using graphing utility, graph of the function will be as shown in the attachment.
Graph of the function 'q' will be increasing from x = -∞ to x = 3
Therefore, common domain in which both the function are increasing is (-2, 3)
Answer:
(-2, 3)
Step-by-step explanation:
PLATOO
Solve the inequality -9y > 9
Hello!
-9y > 9 <=>
<=> -9y ÷ (-9) > 9 ÷ (-9) <=>
<=> y < -1 <=>
<=> y ∈ { -∞; -1 }
Good luck! :)
Probability and Statistics
Acellus
5
The probability distribution for a
random variable x is given in the table.
Posourcor
Holn
x
-5
-3
-2
0
2.
3
Probability
.17
.13
.33
.16
.11
.10
Find the probability that x < 0
Answer:
.63
Step-by-step explanation:
bc the first three numbers are less then 0 so add the three probabilities and boom magic.
Evaluate in 7
0.51
1.95
0.85
1.61
Answer:
We may log in directly in our scientific calculator the given value ln 7 and get an answer of 1.9459. On the other hand, we can rewrite the expression as,
log to the base e or 7 = x
which can be written as,
e^x = 7
The value of x from this is still equal to 1.9459.
Step-by-step explanation:
3. Given the graph below, determine whether each statement is true or false.
Answers:
TrueTrueTrueFalseFalse======================================
Explanation:
In this context, a zero is another term for x intercept or root. This is where the graph either touches or crosses the x axis. This occurs in three locations: x = -3, x = 2, and x = 0. So those are the three roots. That makes the first three statements true, while the remaining two others are false.
Side note: x = 0 doesn't always have to be involved. Its quite possible to have x = 0 not be an x intercept. The term "zero" is a bit misleading in that regard. I prefer either "root" or "x intercept" instead.
1. In the figure below, PU = 12, VT = 5, and VQ = 6. Which of the following is FALSE?
Answer:
for 1 its a and for 2 its c...
PLEASE HELP!! i dont understand it
Answer:
a. y^ -1 = e^x +2
Step-by-step explanation:
y = ln (x-2)
Exchange x and y
x = ln (y-2)
Solve for y
Raise each side with a base of e
e^ x = e^(ln(y-2)
e^x = y-2
Add 2 to each side
e^x +2 =y
Omggg guys please help me find those two boxes
Answer:
Both boxes are -20.25
Step-by-step explanation:
The y-value for the vertex is when you plug in the x-value of the vertex in. The vertex is at (2.5, -20.25). SInce the vertex is the lowest or highest point on a parabola, the range is y>=-20.25.
A startled antelope started running and covered 1,110 feet in 15 seconds. What was the antelope’s speed, in feet per second, during this short burst
Answer:
74 feet per second
Step-by-step explanation:
Divide 1,110 by 15 to get 74, which is how many feet the antelope ran per second in its short burst.
Hope this helps!
Find the domain of the relation R = {(4, 5), (6, 7), (8, 9)}
What is the inverse of the function f(x) = 2x + 1?|
Oh(x) =
Oh(x) -
12 12
2 1212
Oh(x) =
1
-X-2
2
Oh(x) =
(8) 글 +2
Answer:
1st option
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
[tex]\frac{y-1}{2}[/tex] = x
Change y back into terms of x with x being the inverse h(x)
h(x) = [tex]\frac{x-1}{2}[/tex] = [tex]\frac{1}{2}[/tex] x - [tex]\frac{1}{2}[/tex]
HELPPPPP
A geometric series has three terms. The sum of the three terms is 42. The third term is 3.2 times the sum of the other two. What are the terms?
Answer is : 2,8, and 32
Please show steps because I'm very confused
Let x be the first term in the geometric sequence. Then the next two terms in the sequence are xr and xr ², where r is some constant. (This is the defining characteristic of geometric sequences.)
The sum of the first three terms is 42, so
x + xr + xr ² = 42
x (1 + r + r ²) = 42
The third term is 3.2 times the sum of the other two, so that
xr ² = 3.2 (x + xr )
Solve the second equation for r :
xr ² = 3.2 x (1 + r )
We can divide both sides by x since x ≠ 0. (This is obvious, since if x was zero, then all three terms in the sequence would be 0.)
r ² = 3.2 (1 + r )
r ² = 3.2 + 3.2r
r ² - 3.2r - 3.2 = 0
r ² - 16/5 r - 16/5 = 0
5r ² - 16r - 16 = 0
(5r + 4) (r - 4) = 0
==> r = -4/5 or r = 4
Since there are two possible values of r that might work, there are two possible sequences that meet the criteria.
Plug either of these solutions into the first equation:
r = -4/5 ==> x (1 + (-4/5) + (-4/5)²) = 42
… … … … … … 21/25 x = 42
… … … … … … x = 50
r = 4 ==> x (1 + 4 + 4²) = 42
… … … … … 21x = 42
… … … … … x = 2
Then the two possible answers would be
• if r = -4/5, then the three terms are {50, -40, 32}
• if r = 4, then they are {2, 8, 32}
Answer:
Step-by-step explanation:
A geometric series means that we multiply one number by a common ratio to get the second number. Let's say our first number is x, and our common ratio is y. We can write the first term is x, and to get the second number, we multiply x by our common ratio, y. For example, if 5 was the first number and 2 was the common ratio, the second number would be 5*2 = 10, and the third would be 10 * 2 = 20.
For our question, the first number is x, the second is x*y, and the third is x*y*y = x*y²
The sum of these three terms is 42, so we can say
x + x*y + x*y² = 42
Next, the third term is equal to 3.2 times the sum of the other two. First, we have 3.2 times something. That something is the sum of the other two, so we must prioritize calculating the sum of the first two numbers, and then multiply that by 3.2 to get the third. We can write this as
(x + x*y) * 3.2 = x*y²
factor out x
x * 3.2(1 +y) = x*y²
divide both sides by x
3.2(1+y) = y²
expand
3.2 + 3.2y = y²
subtract (3.2 + 3.2y) from both sides to make this a quadratic equation
y²-3.2y-3.2 = 0
use the quadratic formula to solve for y (note that +- here stands for "plus or minus")
[tex]y = \frac{-(-3.2) +- \sqrt{3.2^{2}-4(-3.2)(1)} }{2} \\= \frac{3.2+-\sqrt{10.24+12.8} }{2} \\= \frac{3.2+- 4.8}{2}[/tex]
= -0.8 or 4
With these two possibilities, we can try each in our other equation to see what works.
x + x*y + x*y² = 42
for y = -0.8
x + -0.8x + 0.64x = 42
x - 0.16x = 42
0.84x = 42
multiply both sides by 1/0.84 to isolate the x
x=50
This works, with x (the first number) =50, the second number being 50 * -0.8 = -40, and the third being -40 * -0.8 = 32. 50+(-40) = 10, 10*3.2=32, and 50-40+32 = 42
Next, for y=4, we have
x+4x + 16x= 42
21x = 42
divide both sides by 21 to isolate the x
This works as well, with x=2, the second value being 2*4 = 8, and the third value being 8*4 =32. 2+8=10, 10*3.2 = 32, and 2+8+32 = 42
if x=(a+4 and y=(a-4),show that xy=a square -16
(a+4) (a-4)
according to formula,
x square - y square : (x+y) (x-y)
(a+4) (a-4)
xy : a square - 4
Five years ago, Victor was twice as old as his daughter Anika. In 10 years, the sum of their ages will equal 90. Find their ages now.
Answer: 45 and 25
Step-by-step explanation:
Given
Five years ago victor was twice as old as his daughter
Suppose the current age of victor and his daughter are x and y
For five years ago
[tex]\Rightarrow (y-5)=2(x-5)\\\Rightarrow y-5=2x-10\\\Rightarrow y=2x-5\\\Rightarrow 2x-y=5\quad \ldots(i)[/tex]
In 10 years sum of their ages is 90
[tex]\Rightarrow (y+10)+(x+10)=90\\\Rightarrow x+y=70\quad \ldots(ii)[/tex]
On solving (i) and (ii) we get
[tex]\Rightarrow x=25,y=45[/tex]
So, the current age of victor is 45 and his daughter is 25
Answer:
45 , 25
Step-by-step explanation:
a.) Where does the turning point of the curve Y= 6- 4x - x^2 occur?
b.) Differentiate with respect to x, [tex]\frac{cos x}{sin 2x}[/tex]
Answer:
Have you gotten the answer. if yes Hmu... Aihs I sit beside you
Step-by-step explanation:
Identify the dependent variable: the time it takes to make rag dolls for a mission in Africa and the number of people working on the dolls the distance travelled while walking and the time taken the cost of an end of year grade 9 party and the number of people attending
Answer:
The time it takes to make rag dolls for a mission in Africa.
The time taken.
The cost of an end year party.
Step-by-step explanation:
The dependent variable refers to the variable which is predicted or measured in an experiment , the value of the dependent variable relies on the variation in the independent or predictor variable.
The time it takes to make rag dolls for a mission in Africa and the number of people working on the dolls ;
DEPENDENT VARIABLE = The time it takes to make rag dolls for a mission in AFRICA. This is because time taken will depend on the number of people working.
The distance travelled while walking and the time taken ;
DEPENDENT VARIABLE = THE time taken
The time taken will depend on distance traveled.
The cost of an end of year grade 9 party and the number of people attending ;
DEPENDENT VARIABLE = The cost of an end year party.
Cost of partybwill depend on the number of people attending.
There were 99 tulips in the field. Only 3/9 bloomed. How many tulips bloomed? How many did not bloom?
Answer: 33 tulips bloomed / 66 tulips did not bloom
Step-by-step explanation:
Given:Total number of tulips = 99
Total number of tulips bloomed = 3/9 of total
Solve:Step One: Find the number of tulips that bloomed
99 × (3/9) = 99 × (1/3) = 33 tulips
Step Two: Find the number of tulips that did not bloom
99 - 33 = 66 tulips
Hope this helps!! :)
Please let me know if you have any questions
Using a secant and a tangent, find angle WVT.
Answer:
[tex]m\angle WVT=40^{\circ}[/tex]
Step-by-step explanation:
When two secants or a secant and a tangent of a circle intersect outside the circle, the measure of the acute angle formed is equal to half of the positive difference of smaller and larger arc formed.
Therefore, we have the equation:
[tex]m\angle WVT=\frac{1}{2}(\widehat{TW}-\widehat{UW}),\\3x+4=\frac{1}{2}(14x+7-(7x+11))[/tex]
Distribute:
[tex]3x+4=\frac{1}{2}(14x+7-7x-11),\\\\3x+4=\frac{1}{2}(7x-4),\\\\3x+4=3.5x-2[/tex]
Add 2 to both sides and subtract [tex]3x[/tex] from both sides:
[tex]6=0.5x[/tex]
Divide both sides by 1/2:
[tex]x=\frac{6}{\frac{1}{2}}=6\cdot 2=12[/tex]
Now substitute [tex]x=12[/tex] into [tex]3x+4[/tex]:
[tex]m\angle WVT=3(12)+4,\\m\angle WVT=36+4,\\m\angle WVT=\boxed{40^{\circ}}[/tex]
Write an equation that is parallel to the line y = x-5 and
passes through the point (1, -2)
Select one:
a: y = -3x + 1
b.y = 3x + 1
c. y = x + 1
d. y = x-3
Answer:
D. y = x - 3
Step-by-step explanation:
A parallel line will have the same slope, so the line will also have a slope of 1.
Plug in the slope and the given point into y = mx + b, and solve for b:
y = mx + b
-2 = 1(1) + b
-2 = 1 + b
-3 = b
Plug in the slope and b into y = mx + b:
y = mx + b
y = x - 3
So, the equation is D. y = x - 3
please help me out i need this answer very fast! 20points!!!!
Graph the system of equations on graph paper to answer the question.
{y=2/5x+4
y=2x+12
What is the solution for this system of equations?
Enter your answer in the boxes.
Which is enough information to prove that U|| V?
Answer:
∠4 = ∠8
Step-by-step explanation:
the lines are parallel if a pair of corresponding angles are congruent
Which expression is equivalent to sec^2xcot^2x
A. sin²x
B. csc²x
C. (1)/(cos^2x)
D. (1/(tan^2x)
Answer:
B
Step-by-step explanation:
Using the identities
sec x = [tex]\frac{1}{cosx}[/tex] , csc x = [tex]\frac{1}{sinx}[/tex] , cot x = [tex]\frac{cosx}{sinx}[/tex] , then
sec²x cot²x
= [tex]\frac{1}{cos^2x}[/tex] × [tex]\frac{cos^2x}{sin^2x}[/tex] ( cancel out cos²x )
= [tex]\frac{1}{sin^2x}[/tex]
= csc²x → B
please help me with this problem !
Answer:
a you cant add if they are not the same denominator
Answer:
Finding the least common denominator[tex]Answer: A[/tex]
------------------------
Hope it helps...
Have a great day!!
Corine needs 4 pieces
each a foot long to make one
friendship bracelet. She has a total of 144 inches of string. How many friendship bracelets can Corina make?
[?]friendship bracelets
Answer:
Corina can make 3 friendship bracelets.
Step-by-step explanation:
Solve for how much string is needed for one friendship bracelet:
4 pieces × 1 foot
4 feet
Convert feet into inches (1 foot = 12 inches):
4 feet × 12 inches
48 inches
Divide the total string by each bracelet's string:
144 inches ÷ 48 inches
3 friendship bracelets
Answer:лаксдкннйд
Step-by-step explanation:
The places X and Y are 76km apart on a highway one car starts from Y and other from X at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of two cars?
Answer:
Fast car = 45.6
Slower car = 30.4
Step-by-step explanation:
Let the speed of the first car = x
Let the speed of the second car = y
Travelling towards each other.
x *1 + y*1 = 76 miles
x*5 - y*5 = 76 miles. This is kind of tricky. You have to understand that the first car that is 76 miles from the second car and makes up that 76 in 5 hours. The distance they both travel is subtracted out.
Divide by 5
x - y = 76/5
x - y = 15.2 The speeds differ by 15.2
x + y = 76
x - y = 15.2
2x = 91.2
x = 45.6
y = 76 - 45.6 = 30.4
When the two vehicles speeds are multiplied by 5, the difference is 76 km
Please find attached herewith the solution of your question.
If you have any query, feel free to ask.
Solve for x.
4(x + 3) = x +42
x = [?]
Answer: x=10
Step-by-step explanation:
[tex]4(x+3)=x+42\\4x+12=x+42\\4x-x=42-12\\3x=30\\x=10[/tex]
50 points. Please explain each step
Solution given:
Cos[tex]\theta_{1}=\frac{10}{17}[/tex]
[tex]\frac{adjacent}{hypotenuse}=\frac{10}{17}[/tex]
equating corresponding value
we get
adjacent=10
hypotenuse=17
perpendicular=x
now
by using Pythagoras law
Hypotenuse ²=perpendicular²+adjacent ²
substituting value
17²=x²+10²
17²-10²=x²
x²=17²-10²
x²=189
doing square root
[tex]\sqrt{x²}=\sqrt{189}[/tex]
x=[tex]3\sqrt{21}[/tex]
now
In I Quadrant sin angle is positive
Sin[tex]\theta_{1}=\frac{perpendicular}{hypotenuse}[/tex]
Sin[tex]\theta_{1}=\frac{3\sqrt{21}}{17}[/tex]Answer:
sin theta = 3 sqrt(21)/17
Step-by-step explanation:
cos theta = adj / hyp
We can find the opp by using the Pythagorean theorem
adj^2 + opp ^2 = hyp^2
10^2 +opp^2 = 17^2
100 + opp^2 = 289
opp^2 = 289-100
opp^2 = 189
Taking the square root
opp = sqrt(189)
opp = 3 sqrt(21)
Since we are in the first quad, opp is positive
sin theta = opp /hyp
sin theta = 3 sqrt(21)/17
