Answer:
Area (A) 0.0682
Step-by-step explanation:
The sketch for the region enclosed by the given curves can be found in the image attached below.
From the image below;
The two curves intersect in the area of tan 9x = 2 sin 9x
Recall that:
making x the subject; then:
The subdivision of the domain is in two intervals
where;
Area (A) =
Area (A) = 0.06818
Area (A) 0.0682
DE joins the midpoints of AB and AC. Find the value of x
and y.
Answer:
x = 6
y = 4
Step-by-step explanation:
2(4x + 1) = 11x - 16
8x + 2 = 11x - 16
8x + 2 + 16 = 11x - 16 + 16
8x + 18 = 11x
8x + 18 - 8x = 11x - 8x
18 = 3x
6 = x
5y + 4 = 8(y - 1)
5y + 4 = 8y - 8
5y + 4 + 8 = 8y - 8 + 8
5y + 12 = 8y
5y + 12 - 5y = 8y - 5y
12 = 3y
4 = y
Performance Task A. Directions: Solve the problem and answer the following questions. Renz' family attended a pool party. The pool is circular in shape. He wants to find out the area of the pool. If the radius is six meter, what could be the area? Fill in the blanks. 1. The radius of the pool is m 2. The diameter of the pool is __m 3. The value of pi is 4. Formula in finding the area of a circle 5. Area of the swimming pool X m²
Answer: 144 meters
Step-by-step explanation: area of circle = r^2
6^2 = 36 = 144 Meters given = 4
radius of pool is 6 meters
diameter of pool is 12 meters
= 4
area of circle = r^2
area of swimming pool is 144 meters
solve for the value of k
pls help me asap
Answer:
k=13
Step-by-step explanation:
We know that
straight angle is equal to 180⁰
(4k-7)⁰+90⁰+(3k+6)⁰=180⁰
4k-7+3k+6=90
7k=91
k=13
I hope it helped you
Evaluate 3x+ y when x equals 1/3 and y equals -7/4. Write your answer as a fraction in simplest form.
Please help!! Thanks!!
Answer:
-3/4
Step-by-step explanation:
Put in the values for 'x' and 'y'
3 * (1/3) + (-7/4)
1 - 7/4
4/4 - 7/4
(4-7)/4 = -3/4
"Place a number in each box so that each equation is true and each equation has at least one negative number."
Answer:
x=1, y=-1
Step-by-step explanation:
Given the equation:
where x and y are the blank boxes.
We want to find
A positive value of x
A negative value of y
That makes the equation true.
If x=1, y=-1
This can be confirmed using addition law of indices()
In general, any pair of a number and its negative value will satisfy the equality.
Step-by-step explanation:
which compound inequality is equivalent to the absolute value inequality |b|>6?
The compound inequality equivalent to the absolute value inequality |b|>6 is b > 6, and b < -6
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the inequality:
|b| > 6
Hence:
b > 6 and -b > 6
b > 6, and b < -6
The compound inequality equivalent to the absolute value inequality |b|>6 is b > 6, and b < -6
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Answer:
Answer is A
Step-by-step explanation:
Got it right on the quiz
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the unknowns.
8 divided by the sum of 2 and a number
Answer:
8/x+2 or [tex]\frac{8}{2+x}[/tex]
Step-by-step explanation:
To answer, carefully read the question and pick up on key words like "sum." To begin, we know that "sum" means addition, therefore the sum of 2 and a number (which will be replaced by the variable x) is equivilent to 2 + x. Furthermore, we know that 8 is being divided by the sum. So, the final expression should be [tex]\frac{8}{2+x}[/tex] . Good luck!
Find the value of x.
Explain your answer.
Answer:
Step-by-step explanation:
The hypotenuse is 16 and the adjacent angle is x.
So using SohCahToh
O is opposite, H is the hypotenuse, and A is adjacent.
Soh: sin(theta)= O/H
Cah: cos(theta)= A/H
Toh: tan(theta)= O/A
Any side length that is next to degree 60° is adjacent so x is adjecent.
Using Cah.
cos(theta)= A/H
cos(60°)= x/16
x=16*cos(60°)
x=16*1/2
x=8
The table shows the weights (in pounds) and the prescribed dosages (in milligrams) of medicine for six patients.
Weight (lb), x Dosage (mg), y
94 72
119 90
135 103
150 115
185 140
202 156
a. Find an equation of the line of best fit. Round the slope and the y -intercept to the nearest tenth, if necessary.
y=
Question 2
Identify the correlation coefficient. Round your answer to the nearest thousandths.
Question 3
Interpret the correlation coefficient.
0 / 10000 Word Limit
Question 4
b. Interpret the slope of the line of best fit.
Question 5
c. A patient who weighs 140 pounds is prescribed 135 milligrams of medicine. How does this affect the line of best fit? Explain.
(A) Using calculator, the equation of the line of best fit is y=0.77x-1.1y=0.77x−1.1 and correlation coefficient is 0.9990.999
The relationship is strongly positive as correlation coefficient is very close to +1.
Step 2
(B) The slope of best fit gives the change in dosage for a unit (lb) increase in weight of patient. We find that the dosage increases by about 0.77 mg for a unit increase in weight of patient.
Step 3
(C) Adding observation (140, 135)(140,135) to the data set. the regression line changes to y=6.12+0.75xy=6.12+0.75x. It increases the intercept but decreases slope.
But the correlation falls to 0.9340.934, weakening the relationship. This happens as the observation is an outlier.
Result
a. y=0.77x-1.1y=0.77x−1.1, strong positive relationship
b. represents change in dosage for a unit increase in weight
c. regression line changes to y=6.12+0.75xy=6.12+0.75x.
(A) The line of best fit's equation is y=0.77x-1.1y=0.77x1.1, and the correlation coefficient is 0.9990.999. The correlation coefficient is near +1, indicating that the link is positive.
What is the equation?The definition of an equation in algebra is a mathematical statement demonstrating the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Step 2
(B) The change in dosage for a unit (lb) increase in patient weight is indicated by the best-fit slope. We discover that for every unit increase in patient weight, the dosage rises by around 0.77 mg.
Step 3
(C) Including observation (140, 135) in the data set. y=6.12+0.75xy=6.12+0.75x is the new value of the regression line. Although the slope is reduced, the intercept is increased.
However, the link is weakened when the correlation drops to 0.9340.934. This occurs because the observation is an anomaly.
Result
a. Strong positive association, y=0.77x-1.1y=0.77x1.1
B. indicates a dose modification for a unit weight increase
C. y=6.12+0.75xy=6.12+0.75x is the new value of the regression line.
Therefore, y=0.77x-1.1y=0.77x1.1 is the equation for the line of best fit, and the correlation coefficient is 0.9990.999.
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tan(x)+cot(x)= sec(x)*csc(x)
show me all of the steps, labeled. I would really appreciate it!
hence proved
hope it helps...!!!
Ollie drank 1/2 of a 16 fluid ounce bottle of juice how many cups of juice are left in the bottle explain
Answer:
Step-by-step explanation:
1 cup is left because 16 ounces is 2 cups so half would be one
What are the possible transformations that could have been used to create the red figure A'B'C'D' from the blue
figure ABCD?
A
D'
-5-4-3-2-1. B
3 A 5 x
-2
a reflection across
the y axis followed by a translation of 5 units up and 5 units left
O a reflection across the y axis followed by a 90-degree rotation counterclockwise about the origin
a rotation of 90 degrees counterclockwise about the origin followed by a reflection across the y axis
A
5
4
3
2
B
BB
Ni
& &
2
Answer:
Second option.
Step-by-step explanation:
A reflection across the y axis followed by a counterclockwise rotation around the origin.
How do you know if a net will fold into a pyramid?
Step-by-step explanation:
A pyramid is made when 4 triangle meet on square then mate on each together .
Oil leaks from a tank. At hour t = 0 there are 360 gallons of oil in the tank. Each hour after that, 3% of the oil leaks out.
(a) What percent of the original 360 gallons has leaked out after 8 hours?
%
(b) if Q(t) = Q0e^kt the quantity of oil remaining after t hours, find the value of k.
k=
(c) What does k tell you about the leaking oil? Select all that apply if more than one statement is true
A. It tells what percent of oil remains after each hour.
B. It is the amount that the oil that leaks out each second.
C. Because it is less than one, we know the amount of oil in the tank is decreasing,
D. It tells by what percent of oil decays each hour.
E. Because it is negative, we know the amount of oil in the tank is decreasing.
F. It gives the continuous hourly rate at which oil is leaking.
G. None of the above
How do you convert joules to kJ
Answer:
Divide by 1000.
Step-by-step explanation:
For example, 1 joule is 0.001 kilo joule.
1 divided by 1000 is 0.001.
If there were 30 joules, there would be 0.032 kilo joules.
How many solutions exist for the given equation?
3x + 13 = 3(x + 6) + 1
Answer:
0
Step-by-step explanation:
3x+13 = 3(x+6)+1
3x+13=3x+19
13=19
This is never true so there are 0 solutions
If the x's didnt cancel out, you could use the fundemental theorom of algebra, which states that in the simplest form(nothing will cancel out anymore), the highest degree(highest power) on a variable is the number of solutions.
A bucket of water was 1/2 full, but it still had 3 and 3/5 gallons of water in it. How much water would be in one fully filled bucket?
Question:
A bucket of water was 1/2 full, but it still had 3 and 3/5 gallons of water in it. How much water would be in one fully filled bucket?
Answer:
7 1/5
Step-by-step explanation:
The bucket was halfway full. It still had 3 3/5 gallons in it. So all you'd have to do is multiply 3 3/5 by 2. Here is the actual work for proof:
3 3/5 × 2 =
18/5 × 2 =
18 × 2
5 × 1 =
36/5 = 7 1/5.
When designing a training plan, what do you need to think about?
A. Frequency, rest, progression
B. Moderation, progression and overtraining
C. Rest, goals, overload
D. Frequency, overtraining, time
2 ≤ s-2 Find variable for s
Please show your work
Answer:
∂x. )2 + (. ∂z. ∂y. )2 = √1 +. 1. 9. +. 1. 4. = 7/6. Then the area of S is found by calculating the surface integral over S for the function f(x, y, z) =
hope this helps
Answer:
s <= 4
Step-by-step explanation:
First we re arrange
s - 2 >= 2
a-2+2>=2+2
a>=2+2
a>=4
How much is a square mile
a square mile is equivalent to 27878400 square feet
Solve using the elimination method -4x-2y=-18
Step-by-step explanation:
-4x – 2y= -18
Add 2y to both sides
-4x- 2y+ 2y = -18 + 2y
Simplify
-4x = -18 + 2y
Divide both sides by -4
-4x/-4= -18/-4+ 2y/-4
simplify
x= - -9+y/2
What is the value of log5 125?
The log base value is three.
x+3=y
what is y?
GIVING BRANLIEST
Answer:
There isn't a way to solve for y but I can give you this
Step-by-step explanation:
Slope=1
x-intercept is -3/1
y-intercept is 3/1
The equation y - 1 =-7(x-3) is written in point-slope form. What is the y-intercept of the line?
O -4
O-2
O 20
O 22
22. A small-appliance manufacturer finds that it costs $9000 to produce 1000 toaster ovens a week and $12,000 to produce 1500 toaster ovens a week.
(b) What is the slope of the graph and what does it represent?
A small-appliance manufacturer finds that it costs $9000 to produce 1000 toaster ovens a week and $12,000 to produce 1500 toaster ovens a week.
solve only number 6
To find the tangent line of the graph:
⇒ must find:
point at which the tangent line touches the graphslope of the tangent lineLet's find the point at which the tangent line touches the graph:
At x = -1,
[tex]y = ((-1)^3+2)^5=(-1+2)^5=1^5=1[/tex]
Point: (-1,1)
Let's find the slope of the tangent line
⇒ get the derivation of function than plug (-1) in the x-position to get
the exact slope
[tex]\frac{d}{dx}(x^3+2)^5=5(x^3+2)^4*\frac{d}{dx}(x^3+2)=5(x^3+2)^4*3x^2\\ \\ 5((-1)^3)+2)^4*3(-1)^2=5(-1+2)^4*3*1=5*(1)^4*3=5*1*3=15[/tex]
Slope of tangent line: 15
Now put all the calculated value into the point-slope form:
[tex](y-y_{0})=m(x-x_{0} )[/tex]
[tex](x_{0} ,y_{0} )[/tex] --> point on the tangent linem --> tangent slope's valueSo:
[tex](y-1)=15(x+1)\\y - 1= 15x + 15\\y = 15x + 15 + 1\\y = 15x + 16[/tex]
Thus the tangent line's equation is y = 15x + 16
Answer: y = 15x + 16
Hope that helps!
Find the area and the circumference of a circle with radius .
Use the value for , and do not round your answers. Be sure to include the correct units in your answers.
Answer: 25.12
Step-by-step explanation:
Circumference = πd or 2πr
Since the radius is given (which is 4) we will use 2πr
2× 3.14×4=
8 × 3.14 =
25.12
4) Louise stops at the gift store to buy a souvenir of the Statue of Liberty. THe original
height of the statue is 151 ft. If a scale factor of 1in = 20 ft is used to design the
souvenir, what is the height of the replica?
Pls I need help ASAP
To find the height of Replica,
we'll divide the original height by the given scale factor ⇢151/20 inches⇢7.55 inchesDialted scale factor=1in=20ft
So height of replica
151/207.557.6inLook at this function:
x y
−3 −8
−2 −6
−1 −4
0 0
Matt said that the function is linear.
Justine said that the function is nonlinear.
Which of the following explains who is correct?
Matt, because for every 1-unit increase in x, there is an increase in y by 2
Matt, because for every 2-unit increase in x, there is an increase in y by 1
Justine, because the point (−3, −8) does not lie on the straight line that contains the other points
Justine, because the point (0, 0) does not lie on the straight line that contains the other points
Justine, because the point (0, 0) does not lie on the straight line that contains the other points.
Explanation:
See the graph below. The following coordinates are not in a stright line.
Hence, it is a non linear function. Justine is right.
When drawn a straight line. the coordinates: (0,0) does not lie on the line.
correct answer please!
Use the numbers from the item bank to write the value of each expression.
Photo down below!
Step-by-step explanation:
4347 ÷ 21 = 207
4715 ÷ 23 = 205
5200 ÷ 25 = 208
5356 ÷ 26 = 206