Step-by-step explanation:
Recognize the relation between the graph and the slope–intercept form of an equation of a line
Identify the slope and y-intercept form of an equation of a line
Graph a line using its slope and intercept
Choose the most convenient method to graph a line
Graph and interpret applications of slope–intercept
Use slopes to identify parallel lines
Use slopes to identify perpendicular lines
At any given time about 5.5% of women (age 15-45) are pregnant. A home pregnancy test is accurate 99% of the time if the woman taking the test is actually pregnant and 99.5% accurate if the woman is not pregnant. If the test yields a positive result, what is the posterior probability of the hypothesis that the woman is pregnant?
Answer:
0.99%
Step-by-step explanation:
Find the value of x.
A. 65
B. 32.5
C. 118
D. 130
Answer:
D. 130
Step-by-step explanation:
The lines are tangent to the circle therefore 90º which makes 65º + 25º. The small triangle with C is iso so the angle of C would be 130 and equivalent to x
Answer:
[tex]D.\ \ 130[/tex]
Step-by-step explanation:
1. Approach
Refer to the attached diagram of the figure for further explanation. In this problem, one is asked to solve for the degree measure of arc (x). The easiest method to do so is to use the triangle (CAB). One can solve for the measure of angle (<CBA) by using the tangent to radius theorem. Then one can solve for the measure of angle (CAB) by using the base angles theorem. Then one can use the sum of angles in a triangle theorem to solve for angle (<BCA). Finally, one can use the central angles theorem to solve for the arc (x).
2. Find the measure of angles in the triangle
A. Find the measure of angle (<CBE)
As per the given image, lines (BE) and (AE) are tangent. This means that they intersect the circle at exactly one point. A radius is the distance from the center of a circle to the circumference or outer edge of a circle. All radii in a single circle are congruent. The radius of tangent theorem states that, when a tangent intersects a circle at a point of tangency, and a radius also intersects the point of tangency, the angle between the radius and the tangent is a right angle. One can apply this here by stating the following:
[tex]m<CBE = 90[/tex]
Express angle (<CBE) as the sum of two other angles:
[tex]m<CBE = m<CBA + m<ABE[/tex]
Substitute with the given and found information:
[tex]m<CBE = m<CBA + m<ABE[/tex]
[tex]90 = m<CBA + 65[/tex]
Inverse operations,
[tex]90 = m<CBA + 65[/tex]
[tex]25= m<CBA[/tex]
B. FInd the measure of angle (<CAB)
As stated above all radii in a single circle are congruent. This means that lines (CB) and (CA) are equal. Therefore, the triangle (CAB) is an isosceles triangle. One property of an isosceles triangle is the base angles theorem, this theorem states that the angles opposite the congruent sides of an isosceles triangle are congruent. Applying this theorem to the given problem, one can state the following:
[tex]m<CBA = m<CAB = 25[/tex]
C. Find the measure of angle (<ACB)
The sum of angles in any triangle is (180) degrees. One can apply this theorem here to the given triangle by adding up all of the angles and setting the result equal to (180) degrees. This is shown in the following equation:
[tex]m<CAB + m<CBA + m<ACB = 180[/tex]
Substitute,
[tex]m<CAB + m<CBA + m<ACB = 180[/tex]
[tex]25 + 25 + m<ACB = 180[/tex]
Simplify,
[tex]25 + 25 + m<ACB = 180[/tex]
[tex]50 + m<ACB = 180[/tex]
Inverse operations,
[tex]50 + m<ACB = 180[/tex]
[tex]m<ACB = 130[/tex]
3. Find the measure of arc (x)
The central angles theorem states that when an angle has its vertex on the center of the circle, its angle measure is equivalent to the measure of the surrounding arc. Thus, one apply this theorem here by stating the following:
[tex]m<ACB = (x)\\130 = x[/tex]
Your student is struggling with basic addition skills. you can help them by
Answer:
1) focus in the positive
2)keep thing in perspective
3) ask students where there fear is coming
4)help students create a study schedule
5) priotize classroom preparation efforts.
A whitetail deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile.
Answer:
The Bison is faster by 10 miles per hour.
Step-by-step explanation:
The Bison runs at 3520 ft / min
= 3520/ 5280 miles / minute
= (3520/ 5280) * 60 miles per hour
= 40 miles per hour
A rectangle has an area of 616 m² and a width of 22m. What is its length?
Answer:
l=28m
w Width
22
m
A Area
616
m²
Using the formula
A=wl
Solving forl
l=A
w=616
22=28m
hope this will help you
make me brainliest
Answer:
Solve for length
l=28m
W= Width
22
m
A= Area
616
m²
Using the formula
A=wl
Solving formula
l=A
W=616
22=28m
What is the perimeter of half of a circle with a diameter of 14 inches?
Answer:
35.991
Step-by-step explanation:
Gabrielle's age is two times Mikhail's age. The sum of their ages is 30 . What is Mikhail's age?
Step-by-step explanation:
G=2m
m+G=30
m +2m =30
3m=30
m=10
What is the base and height of parallelogram S?
PLEASE gelp me with this, gelp me please oh please gelp me!
Answer:
V = 2143.57 cm^3
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
The diameter is 16 so the radius is 1/2 of the diameter or 8
V = 4/3 ( 3.14) (8)^3
V =2143.57333
Rounding to the nearest hundredth
V = 2143.57 cm^3
Answer:
2143.57 cm^3
Step-by-step explanation:
V = 4/3 * 3.14 * r^3
r = 1/2 * 16 = 8
So V = 4/3 * 3.14 * 8^3
= 2143.57 cm^3.
Multiple Choice
Which statement is an example of the Identity Property of Multiplication?
A. 8.0 = 0
B. 8. 1 = 8
C. 8.-1 = -8
D. -8.-1 = 8
Answer:
I think that the answer is - 8.-1=8
A vehicle purchased for $20700 depreciates at a constant rate of 6%.
Determine the approximate value of the vehicle 14 years after purchase.
Round to the nearest whole number.
Question Help: Viden M Message instructor
n Post to forum
Answer:
$22,000
Step-by-step explanation:
it give f(x) = x-3x⁴ +2x³ -4x² +5x -10 and f(4)(x)?
Answer:
f(x) + f(4)
Step-by-step explanation:
TRUST ME DO THIS PROCESS
Find the solution of the exponential equation, as in Example 1. (Enter your answers as a comma-separated list.)
e1 − 3x = e4x − 3
x=_______
Answer:
Hello,
Very bad written!!!
Step-by-step explanation:
[tex]e^{1-3x}=e^{4x-3}\\\\1-3x=4x-3\\\\7x=4\\\\\boxed{x=\dfrac{4}{7} }\\[/tex]
What are the solutions of the equation (x + 2)2 + 12(x + 2) – 14 = 0? Use u substitution and the quadratic formula to
solve.
..... Here
This is the answer
1) (1) The selling price (ii) The cost price (iii) Profit The marked price of an article is 15% above its selling price and the cost price is 25% less tha its marked price. Find the discount percent and gain percent.
Answer: (iii) Profit The marked price of an article is 15% above its selling price and the cost price is 25% less tha its marked price. Find the discount percent and gain percent.
Step-by-step explanation:
Find the fractal dimension of the object.
Answer:
maaqqqf aku ngak tau soal jawaban in
Value of [(3/2)^(-2)] is *
Answer:
[tex] { (\frac{3}{2} )}^{ - 2} \\ = { (\frac{2}{3}) }^{2} \\ = \frac{4}{9} \\ thank \: you[/tex]
what percent is equal to 7/25
HELLPPPPPPPPPPPP,,,,,,,,,,,
Answer:
#6 is D
#7 is A
Step-by-step explanation:
#6
-1/3(6x+15)-3
Distribute the -1/3
-1/3 times 6x is -2x
-1/3 times 15 is -5
-2x-5-3
-2x=8
#7
-12z-5z=85
COmbine like terms
-17z=85
Divide both sides by -17
z=-5
Kirk is ordering a cheeseburger for lunch. There are 9 cheeses and 7 buns to choose from. For the sauce, Kirk has 4 options. How many different hamburgers can Kirk order if he makes exactly one selection for each option?
Answer:
252 options
Step-by-step explanation:
Please let me know if you want an explanation for why this is the answer (comment on this answer). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!
Please help me! I need answer asap
Answer:
1/10
Step-by-step explanation:
1/5*1/2
1/10
Use the divisibility test to determine if 2326 is divisible by 3. Explain your
answer.
_+3=-9 pls help I will give branlyiest
A rhombus has an area of 5 square meters and a side length of 3 meters. In another similar rhombus, the length of a side is 9 meters. What is the area of the second rhombus?
(A) 30 square meters
(B) 45 square meters
(C) 60 square meters
(D) 75 square meters
Hence the area of the second rhombus is 45 square meters
The area of a rhombus is expressed as
A = base * height
For the rhombus with an area of 5 square meters and a side length of 3 meters
Height = Area/length
Height = 5/3 metres
Since the length of a similar rhombus is 9meters, the scale factor will be expressed as;
k = ratio of the lengths = 9/3
k = 3
Height of the second rhombus = 3 * height of the first rhombus
Height of the second rhombus = 3 * 5/3
Height of the second rhombus = 5 meters
Area of the second rhombus = length * height
Area of the second rhombus = 5 * 9
Area of the second rhombus = 45 square meters
Hence the area of the second rhombus is 45 square meters
Learn more here: brainly.com/question/20247331
The correct option is option B;
(B) 45 square meters
The known parameters in the question are;
The area of the rhombus, A₁ = 5 m²
The length of one of the sides of the rhombus, a = 3 m
The length of a side in a similar rhombus, b = 9 m
The unknown parameter;
The area of the second rhombus
Strategy or method;
We have that two shapes are similar if their corresponding sides are proportional
From the above statement we get that the ratio of the areas of the two shapes is equal to the square of the ratio of the lengths of the corresponding sides of the two shapes of follows;
[tex]\begin{array}{ccc}Length \ Ratio&&Area \ Ratio\\\dfrac{a}{b} &&\left (\dfrac{a}{b} \right)^2 \\&&\end{array}[/tex]
Let the area of the second rhombus be A₂, we get;
[tex]Area \ ratio = \dfrac{A_1}{A_2} = \left( \dfrac{a}{b} \right)^2[/tex]
Where;
a = 3 m, b = 9 m, and A₁ = 5 m², we get;
[tex]Area \ ratio = \dfrac{5 \ m^2}{A_2} = \left( \dfrac{3 \, m}{9 \, m} \right)^2 = \dfrac{1}{9}[/tex]
Therefore;
9 × 5 m² = A₂ × 1
A₂ = 45 m²
The area of the second rhombus, A₂ = 5 m².
Learn more about scale factors here;
https://brainly.com/question/20247331
Find the partial derivatives of the following functions
a) z = 8x^2 − 4xy + 5y^2
b) z = 5xe^y
c) z = 3xln(y)
Answer:
Hello,
Step-by-step explanation:
a)
[tex]z=8x^2-4xy+5y^2\\\\\dfrac{\partial z}{\partial x} =16x^2-4y\\\\\dfrac{\partial z}{\partial y} =-4x+10y\\[/tex]
b)
[tex]z=5xe^{y}\\\\\dfrac{\partial z}{\partial x} =5e^y\\\\\dfrac{\partial z}{\partial y} =5xe^y\\[/tex]
c)
[tex]z=3xln(y)\\\\\dfrac{\partial z}{\partial x} =3ln(y)\\\\\dfrac{\partial z}{\partial y} =\dfrac{3x}{y}\\[/tex]
Help me find the Area.Please I beg of you
Answer:
7 Vertices
Step-by-step explanation:
Vertices means the sharp "points" of a shape.
I believe you were mistaken vertices with area
The sides of a triangle are in the ratio of 4:5:7 and its perimeter is 64. Find its sides
Answer:
16,20,28
Step-by-step explanation:
64 /(4+5+7)
64/16= 4
sides of triangle=4×4 :5×4: 7×4
=16:20:28
Consider the line y = 4x + 9. If a second line is perpendicular to this one, what is its slope?
Answer:
Step-by-step explanation:
slope of line perpendicular to y=mx+c is -1/m
so here reqd. slope=-1/4
find the surface area of the prism.
Answer:
6*8=48km....10*6=60...6*8=48....6*6=36 total =192km
Answer:
s=(2BaseArea) +(Base perimeter/hight
A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 25. Find the number.
Answer: the number = 6
Step-by-step explanation:
Let x be the number.
Set equation according to the information given
2 + 8x = 2 × 25
Simplify by multiplication
2 + 8x = 50
Subtract 2 on both sides
2 + 8x - 2 = 50 - 2
8x = 48
Divide 8 on both sides
8x / 8 = 48 / 8
[tex]\boxed {x=6}[/tex]
Hope this helps!! :)
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