A major arc is an arc that is greater than 180 degrees.
A minor arc is an arc less than 180 degrees.
An acute angle is an angle less than 90 degrees.
What is the central angle?
A central angle is an angle created in the center of a circle with 2 sides being the radius.
Thus, we can see in the figure that we are talking about the angle so we can eliminate the major arc and minor arc.
Now, we clearly see that the angle is greater than 90 degrees so it cannot be an acute angle.
The correct answer is the central angle as it goes with the definition.
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Which table represents a function?
Answer:
The one on the top left
Step-by-step explanation:
What makes a function, a function is that the x coordinate (x,y), cannot be repeated in the tables. The y coordinate can though.
Is believed that 80% of adults are honest an honesty experiment was conducted on a random sample of 50 adultsit was discovered that 42 of the adults were honestthe researcher would like to know if the data provide convincing evidence that more than 80% of adults are honest are the conditions for inference met? yesthe conditions for inference are met no, the 10% condition is not met no, the large counts condition is not met no, the randomness condition is not met
The first option, “yes, the conditions for inference are met” is correct.
What are population and sample?It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.
Lets you're conducting an experiment on the honesty of a random sample of 50 persons. A total of 42 adults were assessed to be trustworthy.
It has to be determined whether the conditions of inference are satisfied.
A) The randomness of the sample.
The sample is given to be randomly selected. So, this condition is satisfied.
B) The number of success and failures must be at least 10.
The success rate is 0.80, and the sample size is 50. As a result, the following conditions must be met:
[tex]\rm n_p\geq 10 \ and \ n\left ( 1-p \right )\geq 10[/tex]
[tex]\rm 50\left ( 0.80 \right )=40 > 10[/tex]
[tex]\rm 50\left ( 1-0.80 \right )=10=10[/tex]
As a result, the sample size is sufficient, and the big numbers requirement is met.
C) 10% condition:
The sample size is modest, at 50 people, and hence represents less than 10% of the population.
As a result, the inference requirements are met.
Thus, the first option “yes, the conditions for inference are met” is correct.
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1 pound is equivalent to ____ grams.
Answer: 453.592 grams
Step-by-step explanation:
I searched it up online. But if you're going to use this to calculate. Use 454 grams.
Answer:
453.592 rounded would be 454* grams witch is equal to 1 pound
Step-by-step explanation:
1 pound is equivalent to __453.592 or just say 454*__ grams.
Had to fix that hehehe
Hope This Helped
Chandler was a caretaker at the state zoo. He noticed that the number of animals adopted by the zoo increased at a constant rate every year since 2010.
Which of the following graphs shows the slowest rate at which the animals in the zoo were adopted?
A.
B.
C.
D.
What characteristics do all points in Quadrant I share?
A. The x-coordinate is positive and the y-coordinate is positive.
B. The x-coordinate is negative and the y-coordinate is negative.
C. The x-coordinate is positive and y-coordinate is negative.
D. The x-coordinate is negative and y-coordinate is positive.
Answer:
Option A
Step-by-step explanation:
Remember the things.
In Q1
x>0,y>0in Q2
x<0,y>0in Q3
x<0,y<0in Q4
x>0,y<0Answer:
A. The x-coordinate is positive and the y-coordinate is positive.
Step-by-step explanation:
The Cartesian plane is divided into four regions by the x-axis and y-axis.
These regions are called "quadrants".
Quadrant I is the top right region, where x and y coordinates of points are positive.
From here, move in a counterclockwise direction.
Therefore, Quadrant II is the top left region, where the x-coordinate is negative and the y-coordinate is positive.
Quadrant I → (x, y)
Quadrant II → (-x, y)
Quadrant III → (-x, -y)
Quadrant IV → (x, -y)
The measure of angle is 0 is 7pi/4. The measure of its reference angle is ___ °, and tan 0 is ____
Answer: pi/4 and -1
Step-by-step explanation:
show your working please.
Offer B is the best value for money because each kg cost is £0.61 and in offer 'A' each kg cost is £0.7.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
2 bags for £35
2 bags means 50 kg (2×25)
Each kg cost = 35/50 = £0.7 per kg
3 bags for £92.50
3 bags means 150 kg
Each kg cost = 92.50/150 = £0.61 per kg
As we can see, offer B has a low cost per kg
Thus, offer B is the best value for money because each kg cost is £0.61 and in offer 'A' each kg cost is £0.7.
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can someone do this for me please?! Just the answer pls
Answer:
see the attachment photo!
A 2-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 115-ft shadow. how tall is the cell phone tower?
the cell phone tower is _ ft
The height of the cell phone tower will be 138 feet.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
A 2-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 115-ft shadow.
Then the height of the cell phone tower will be
Let x be the height of the cell phone tower.
x / 2 = 115 x 12 / 20
x = 69 x 2
x = 138 feet
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Write a nuclear formula for 37^Ca
Answer:
37
20
C
a
→
37
19
K
+
0
+
1
e
This equation shows us the parent atom, which is calcium-37. The mass number is written above the atomic number for the atom. The arrow indicates the decay process with the products to the right of the arrow. The products are an atom of potassium-37 and a positron, which is similar to an electron but it carries a charge of +1 instead of a charge of -1. We can see that the transition of a proton to a neutron in positron decay decreases the atomic number of the atom from 20 to 19, but the mass number of 37 remains the same.
Step-by-step explanation:
Answer:
37
20
C
a
→
37
19
K
+
0
+
1
e
Step-by-step explanation:
Consider function g.
g(x)={(6,-8<=(-2)<-2 ),(0,-2<=(-2)<4),(-4,4<=(-2)<10):}
What are the values of the function when x = -2 and when x = 4?
g(-2) = __
g(4) = __
By evaluating the piecewise function, we get:
g(-2) = 0.
g(4) = 4.
How to evaluate the piecewise function?A piecewise function is a function that behaves differently in different parts of its domain.
Here, we first want to get g(-2). x = -2 belongs to the second domain, then we use that part:
g(-2) = 0.
For x = 4, it belongs to the third domain, then we have:
g(4) = 4.
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If f(x )= 3/x-3, what is (fof)(x)?
Answer:
the second option is correct.
Step-by-step explanation:
that is the solution above.
(10/2)x7+5-4 whats the answer
Answer:
36
Step-by-step explanation:
Question:
[tex] \bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]
Solution:
Here, we need to use PEMDAS rule, where:
P = parenthesise = exponentsm = multiplicationD = divisiona = additions = subtractionThere's a rule as well, the sum given is need to solved from the left, whichever sign is there.
Solved:
[tex]\bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]
Solve for parentheses first:
[tex] = 5 \times 7 + 5 - 4[/tex]
Then multiplication of course:
[tex] = 35 + 5 - 4[/tex]
Then addition:
[tex] = 4 0 - 4[/tex]
[tex] =36[/tex]
Hence, the answer is 36.
Which expression is modeled by this arrangement of tiles? 40 positive tiles are broken up into 10 groups of 4 positive tiles. 40 divided by (negative 10) 40 divided by 10 40 divided by 40 40 divided by 40
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given 40 positive tiles are broken up into 10 groups of 4 positive tiles. The expression that represents this situation is 40 divided by 10.
Hence, the correct option is B.
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Answer:
b
Step-by-step explanation:
Find the value of h(-7) for the function below.
h(x) = 5.7 −19x
A.
0.67
B.
-138.7
C.
-127.3
D.
138.7
The input value of the function h(-7) for h(x) = 5.7 - 19x is -26.6.
How to find the input value of a Function?We are given the function;
h(x) = 5.7 - 19x
Thus;
h(-7) = 5.7 - 19(1.7)
h(-7) = 5.7 - 32.3
h(-7) = -26.6
Thus, we conclude that the input value of the function h(-7) is -26.6.
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4 x2-5x-6=0 quadratic form
Step-by-step explanation:
[tex]4 {x}^{2} -5x-6=0 [/tex]
Solve using quadratic formula
Solution:
We know that
[tex] \rm \: Quadratic \: Formula = \cfrac{ - b± \sqrt{ {b}^{2} - 4(ac) } }{2a} [/tex]
ATQ,here,
a = 4b = -5c = -6Substitute the values into the quadratic formula.
[Let Quadratic Formula = x][tex]\rm\implies x = \cfrac{5 ± \sqrt{( - 5) {}^{2} - 4 \times (4 \times - 6) } }{2 \times 4} [/tex]
[tex]\rm\implies{x} = \cfrac{5 ± \sqrt{25 - 4 \times (24) } }{2 \times 4} [/tex]
[tex] \implies \rm \: x = \cfrac{5 ± \sqrt{25 - 96} }{8} [/tex]
[tex] \implies \rm \: x = \cfrac{5± \sqrt{121} }{8} [/tex]
[tex] \implies \rm \: x = \cfrac{5± \sqrt{11 \times 11} }{8} [/tex]
[tex] \implies \rm \: \: x = \cfrac{5±11}{8} [/tex]
The answer will be the combination of both solutions[tex]\boxed{x = 2}[/tex]
OR
[tex]x = \boxed{- \cfrac{3}{4}} [/tex]
Frank has $500 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will Frank earn in 5 years?
Answer:
$50 interest
Step-by-step explanation:
Simple interest formula
I = Prt
where:
I = interested earnedP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
P = $500r = 2% = 0.02t = 5 yearsSubstitute the given values into the formula and solve for I:
⇒ I = 500 · 0.02 · 5
⇒ I = 50
Therefore, Frank will earn $50 interest in 5 years.
Please help me with this!
Answer:
sin(4)
Step-by-step explanation:
sin(-184) is the equivalent to sin(4) (degree), positive and acute angle.
what is the distance from (7,0)- (-5,5)
Answer:
[tex]\frac{5}{-12}[/tex]
Step-by-step explanation:
If you use the formula [tex]m = \frac{y2 - y1} {x2 - x1}[/tex] with x1 being 7, y1 being 0, -5 being x2 and 5 being y2, then you can subtract. 5(y2) minus 0(y1) is 5, and -5(x2) minus 7(x1) is -12. The formula would look like this: [tex]m = \frac{5 - 0}{-5 - 7} \frac{5}{-12}[/tex].
(tip: you need to do rise over run, aka y over x, shown as [tex]\frac{y}{x}[/tex] or [tex]\frac{rise}{run}[/tex])
I hope I helped you answer your question, and helped better understand it as well
5x- 4y +2z when x= 8,y =3 and z =3
34
Step-by-step explanation:
=5x-4y+2z
=5×8-4×3+2×3
=40-12+6
=46-12
=34
Mark is a professional race car driver. He has competed in 15 races and won 40% of them. How many races has Mark won?
3 races
6 races
9 races
37 races
Answer:
6 races
Step-by-step explanation:
If he won 40% of the races he competed in, and he raced 15 times, this means that he won roughly 4/10 races.
4/10= ?/15
cross multiply 4 and 15 = 60
60/10 = 6
He won 6 races
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2. Verify that cos(360° -0)=cos is an identity.
Answer:
it is an identity that was solved
Step-by-step explanation:
cosin - the a
Factor out 1/6 out of 1/6x -7/6
Answer:
(x-7)
Step-by-step explanation:
(1/6)*(x-7)= (1/6)x-(7/6)
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+1=2(x+5)
Step-by-step explanation:
y + 1 = 2(x + 5) = 2x + 10
y - 9 = 2x
2x - y = -9
The volume of air in a balloon is represented by the function v(r)=4/3 pi ^3, where r is the radius of the balloon, in
inches. The radius of the balloon increases with time, in seconds, by the function r(t) = 1².
Write a composite function that can be used to determine the volume of the balloon after t seconds. Then, select the
two true statements.
The two tables show the number of copies of albums x, y, and z sold in outlets a, b, c, and d of a company. which outlet sold the greatest number of copies of album x in july and august?
Outlet A sold the greatest number of copies of album x in July and August
How to determine the outlet?The tables of values are given as:
July
Album X Album Y Album Z
Outlet A 14 8 6
Outlet B 7 13 4
Outlet C 2 11 1
August
Album X Album Y Album Z
Outlet A 12 14 10
Outlet B 5 12 8
Outlet C 16 12 7
In July, the total sales of album x are:
Outlet A = 14
Outlet B = 7
Outlet C = 2
In August, the total sales of album x are:
Outlet A = 12
Outlet B = 5
Outlet C = 16
Add both sales
A = 14 + 12 = 26
B = 7 + 5 = 12
C = 2 + 16 = 18
26 (in outlet A) is greater than 12 and 18
Hence, outlet A sold the greatest number of copies of album x in July and August
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Answer:
Outlet D
Step-by-step explanation:
they sold 28 of album x
outlet a only sold 26
A side of the triangle below has been extended to form an exterior angle of 131°. Find the value of x. 131⁰ to 112º
Answer:
[tex]x = 49degrees[/tex]
Step-by-step explanation:
[tex]131 + x = 180( \: < \: on \: str \: line = 180) \\ x = 180 - 131 \\ x = 49[/tex]
The required value of x for the given figure is 49°.
What is a straight line?A straight line can be defined as a locus of points satisfying the equation ax + by + c = 0 for two coordinates x and y.
The sum of the angles on a straight line is always 180°.
In the given figure the angles 131° and x° are on the same straight line.
Since, the sum of the angles on a straight line is 180°.
The following equation can be written for the given figure,
x + 131 = 180
=> x = 180 - 131
= 49
Hence, the value of x for the given figure is 49°.
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Type the correct answer in each box. Round the vector's magnitude to the nearest tenth.
Vector u has its initial point at (14,-6) and its terminal point at (-4, 7). Write the component form of u and find its magnitude.
Component form of u is (-18,13) and The magnitude of u is 22.2
What is a vector?A vector is a two-dimensional entity with both magnitude and direction. A vector can be visualized geometrically as a directed line segment.
The component form of a vector is an ordered pair that describes the change in x and y values
This is mathematically expressed as (Δx, Δy) where Δx=x₂-x₁ and Δy=y₂-y₁
Given ;
Initial points of the vector as (14,-6)
The terminal point of the vector is (-4,7)
Here x₁=14,x₂=-4, y₁=-6,y₂=7
The component form of the vector u is (-4-14,7--6) =(-18,13)
Finding the Magnitude of the vector
u=√(x₂-x₁)²+(y₂-y₁)²
u=√-18²+13²
u=√324+169
u=√493
u=22.2
Therefore the Component form of u is (-18,13) and The magnitude of u is 22.2
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y=-2/5x
a. direct
b. inverse
c. neither
Answer:
a. direct
Step-by-step explanation:
direct variation is y = kx and y = -2/5x is written in direct variation.
11.3 9 9 9 7.8 surface area of triangular prism
Answer:
Total area = 187.65 cm^2
Step-by-step explanation:
AREA of a triangle = 1/2 base * height
THREE sides 3 * 1/2 *9 * 11.3 = 152.55 cm^2
Bottom 1/2 * 9 * 7.8 = 35.1 cm^2
total = 187.65 cm^2