Answer: A. The number 23 is prime, but 36 is composite.
=====================================================
Explanation:
Let's go through the possible answer choices
A) This is true because 23 only has the factors 1 and 23. So that's why 23 is prime. We can say 36 is composite since 2 is a factor, ie 36 = 2*18.B) This is false because 33 is not prime. Note how 33 = 3*11, showing that 3 is a factor of 33.C) Similar to B, the statement "21 is prime" is false. Note how 21 = 3*7.D) Like the other false statements, 27 is not prime because 27 = 3*9.23 is indeed prime, and 36 is indeed composite.
33 is composite, and 42 is indeed composite.
21 is composite, and 25 is composite as well
27 is not prime, and 39 is composite.
Primes have only 2 factors: 1 and themselves.
And 33, 21 and 27 definitely have more than 2 factors. Hope this helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
PLZZZ HELPPPPP, HAVE 10 MORE QUESTIONS AND NEED TO FINISH IN 5 MINS
Answer:
2 cups
Step-by-step explanation:
It would be 1/2 times 4, which would be 2 cups of lime juice.find the missing side. Round it the nearest tenth.
Answer: x= 11√3= 19.0525 = 19.1
Step-by-step explanation:
Let the reference angle be 30
so
cos 30 = b/h
√3/2 = x/22
or, 22√3 = 2x
or. x = (22√3)/2
so, x = 11√3
Answer:
x = 19.1 cm
Step-by-step explanation:
→ Find the name of the side you are not given
Opposite
→ Find a formula without opposite in it
Cos = Adjacent ÷ Hypotenuse
→ Rearrange to make adjacent the subject
Adjacent = Cos × Hypotenuse
→ Substitute in the values
Adjacent = Cos ( 30 ) × 22
→ Simplify
Adjacent = 19.1
The number of home runs scored by teams in the Brooksfield baseball league are
normally distributed and have a mean of 94 and a standard deviation of 8. What
percentage of the teams have scored more than 102 home runs?
Step-by-step explanation:
o ne demek kaarrrşiömm hııı
Density of wood is a very important trait for furniture making. There are two main important mechanical properties: strength and stiffness. Research has shown that a increase density equals an increase strength, hardness and stiffness of sawn timber.
A carpenter has two pieces of wood. He wants to find the density of each piece.
The first piece came from a birch tree. The piece of birch wood measures 2 meters by 4 meters by 3 meters and weighs (mass) 16 kilograms.
The second piece came from a cypress tree. The piece of cypress wood measures 3 meters by 5 meters by 2 meters and weighs (mass) 15.3 kilograms.
Which piece of wood has a greater density? You must show your work in order to receive credit.
Step-by-step explanation:
The Birch tree has a greater density.
The slopes of 2 lines are in the attachment. what is the value of ‘a’ that will make the lines PARALLEL and PERPENDICULAR
Answer:
a. a = -12
b. a = 27
Step-by-step explanation:
a. Two lines that are parallel have the same slope, making the slopes equal ot each other:
[tex]-\frac{3}{2} =\frac{18}{a}[/tex]
We can cross multiply and solve for a:
[tex]-3a = 36\\a = -12[/tex]
b. Two lines that are perpendicular have the negative reciprocal of each other. This means that you would flip the fraction and multiply by a negative as shown below:
[tex]-\frac{3}{2} --> \frac{2}{3}[/tex]
This would be the slope of the other line, so we can write:
[tex]\frac{2}{3} = \frac{18}{a}[/tex]
as both expressions express the slope of the same line. We can cross multiply and solve to get:
[tex]2a = 54\\a = 27[/tex]
A flagpole is propped on the east side corner of the roof of a building. The angle of depression from the top of the flagpole (Angle B) to a point on a neighboring building is 54 degrees. The angle of depression from the bottom of the flagpole (Angle A) to that same point on the building is 41 degrees. The distance from the edge of the building with the flagpole to the point on the neighboring building is 1660 feet (x). What is the height of the flagpole to the nearest tenth
Answer:
The height of flag pole is 841.8 ft.
Step-by-step explanation:
Let the height of the flag post is h.
x = 1660 ft
According to the triangle, ABC
[tex]tan 41 = \frac{y}{1660}\\\\y = 1443 ft[/tex]
Now According to the triangle ABD
[tex]tan 54 = \frac{h + y }{1660}\\\\h + 1443 = 2284.8\\\\h = 841.8 ft[/tex]
Please hurry I will mark you brainliest
What is the equation of the line through the point (2, 3) with slope -2?
Answer:
y = -2x+7
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -2x+b
Using the point
3 = -2(2)+b
3 = -4+b
3+4 = b
7=b
y = -2x+7
I just need to know if my answer is correct or not please!
Answer:
Step-by-step explanation:
correct 100%
What is the length of the altitude of the equilateral triangle below?
A. /240
B. 144
C. 12
D. 4
E. 12/3
F. 4/3
Answer:
its C option which is 12
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity in either of the 2 right triangles
a² = (4[tex]\sqrt{3}[/tex] )² + (8[tex]\sqrt{3}[/tex] )² = 48 + 192 = 240 ( take square root of both sides )
a = [tex]\sqrt{240}[/tex] → A
which is the right equation
Answer:
C
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 )
y = [tex]\frac{2}{3}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes , then
the slope of a parallel rail has slope = [tex]\frac{2}{3}[/tex]
The only equation with this slope is
y = [tex]\frac{2}{3}[/tex] x + 3 ← could represent the path of the second rail → C
An angle measures 73.6° more than the measure of its complementary angle. What is the measure of each angle?
PLEASE help, I'm struggling a lot!
Answer:
Let ABC = 73.6
Complement = ABD = 16.4
ABx = unknown angle
ABx + (ABx + 73.6) = 90
ABx = 16.4 / 2 = 8.2
The angles are 8.2 and (8.2 + 73.6) = 90
Theodore recently hired a contractor to do some necessary work. On the final bill, Theodore was charged a total of $715. $315 was listed for parts and the rest for labor. If the hourly rate for labor was $50, how many hours of labor was needed to complete the job?
Answer:
Hours of labor needed = 8 hour
Step-by-step explanation:
Given:
Amount total charged = $715
Listed amount = $315
Hourly rate for labor = $50
Find:
Hours of labor needed
Computation:
Total amount of labour = Amount total charged - Listed amount
Total amount of labour = 715 - 315
Total amount of labour = $400
Hours of labor needed = Total amount of labour / Hourly rate for labor
Hours of labor needed = 400 / 50
Hours of labor needed = 8 hour
If area of circle is 210cm ,find the value of radius
Answer:
8.18
Step-by-step explanation:
r = square root of A/ pi
R = square root 210/ 3.14
I hope the formula helped!
can someone pls help w finding the x and y intercepts of this?
y=x^2-2x
Answer:
y-intercept is 0, x-intercept is 0 and 1
Step-by-step explanation:
For y-intercept, x=0 :
[tex]{ \tt{y = {(0)}^{2} - 2(0) }} \\ { \tt{y = 0}}[/tex]
For x-intercept, y=0 :
[tex]{ \tt{0 = {2x}^{2} - 2x }} \\ { \tt{2x(x - 1) = 0}} \\ { \tt{x = 0 \: \: and \: \: 1}}[/tex]
Someone please help me with this
Answer:
Step-by-step explanation:
Answered by Gauthmath
HELPPPPP ASAP!!!! Thx!! and NOOO FILESSSS!!
Answer:
[tex]x=32[/tex]°
Step-by-step explanation:
The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:
[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]
Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).
Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.
[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}[/tex]
One can shorten the equation so it only holds the parts that will play a role in solving this equation,
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]
Now take the cross product in this equation to simplify it further,
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]
[tex]17(sin(x))=10(sin(116))[/tex]
Inverse operations, solve this equation for (x),
[tex]17(sin(x))=10(sin(116))[/tex]
[tex]sin(x)=\frac{10(sin(116))}{17}[/tex]
[tex]x=sin^-^1(\frac{10(sin(116))}{17})[/tex]
[tex]x=31.91782...[/tex]
[tex]x\approx32[/tex]
Answer:
hello,
Step-by-step explanation:
the triangle is isocele,
x+x+116=180
x=(180-116)/2
x= 32° (thirty-two , trente-deux in french)
The topic= Direct and Inverse Proportions
It is given that y is directly proportional to x and y=36 and when x=12
(a)
An equation connecting to x and y
(b)
That value of y when x=5
(c)
The value of x when y=12
Please help me answer my hw, thank you!
Answer:
A) 3
B)60
C)4
Step-by-step explanation:
y = kx
36 = 12k
A)k=3
~~~~~~~~~~
b) 60
12*5
c) 4
12/3
Find the value of x.
A. 75
B. 80
C. 57
D. 40
Answer:
80
Step-by-step explanation:
since a=40
40x2 is 80
The value of x is 80 which is the correct answer would be an option (B)
What are the Angles of Intersecting Secants Theorem?Angles of intersecting secants theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one-half the positive difference of the measures of the intercepted arcs.
Given that angle ∠a = 40°
∠x = 2∠a
Substitute the value of ∠a = 40°
∠x = 40×2
∠x = 80°
Hence, the value of x is 80 degree
Learn more about the Angles of intersecting secants here:
brainly.com/question/15532257
#SPJ2
The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest cent, what is the price of grapes in dollars per kilogram?
$0.65 per kilogram
$0.99 per kilogram
$1.89 per kilogram
$3.20 per kilogram
Answer:
$3.20 / kg
Step-by-step explanation:
$1.44 / pound
so, this is normed to 1 pound = 0.45 kg.
now we want to transform that to have 1 kg as the norming unit.
for this we need to multiply the top and the bottom of the ratio with the same number, so that the value of the ratio remains unchanged, but that the bottom turns into 1 kg.
so, what do we need to turn 0.45 into 1 ?
0.45 × x = 1
x = 1/0.45 = 1/1 / 45/100 = 100/45 = 20/9 = 2.22222...
since we need to multiply top and bottom with the same factor, we get
(1.44/0.45) × (2.222222/2.222222) =
(1.44 × 2.222222) / (0.45×2.222222) =
(1.44 × 2.222222) / 1kg = $3.20 / kg
the answer is number 4 or d
Matching Functions
Directions: On the next page are (5) graphs, (5) equations, (5) tables, and (5) unique properties. They are out of
order. Your performance task is to match the equation, table, and property to the correct graph.
Answer:
Graph A → Equation A → Table B → Property D
Graph D → Equation B → Table A → Property B
Graph B → Equation C → Table C → Property E
Graph C → Equation D → Table E → Property A
Graph E → Equation E → Table D → Property C
Step-by-step explanation:
Graph A corresponds to equation A, x·y = 2, and Table B → Property D
xy = 2 has a vertical asymptote at x = 0, and a horizontal asymptote at y = 0
y = 2/x, when x = 0, y = ∞
Graph D corresponds to equation B, [tex]-\left | x\right |[/tex] + 1 which corresponds to table A → Property B
The domain extends from (-∞, ∞), and [1, -∞)
Graph B corresponds to equation C, -(x + 2)² which gives the values in Table C and Property E wich is a horizontal shift of 2 units left and a reflection across the x-axis
Graph C corresponds to equation D, (1/3)·x - 2, which gives the values on Table E and Property A
The y-intercept of (1/3)·x - 2 = (0, -2), and the x-intercept = (6, 0)
Graph E corresponds to equation E, x³ = y, which gives the values on Table D Property C, y is x cubed
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Indicate the equation of the line through (2, -4) and having slope of 3/5.
Answer:
The equation of the line is [tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex].
Step-by-step explanation:
Given the values of the slope and a point of the line, we can derive the equation of the line by means of this formula:
[tex]y-y_{1} = m\cdot (x-x_{1})[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex](x_{1}, y_{1})[/tex] - Coordinates of the given point.
If we know that [tex]m = \frac{3}{5}[/tex] and [tex](x_{1},y_{1}) = (2, -4)[/tex], then the equation of the line is:
[tex]y+4 = \frac{3}{5}\cdot (x-2)[/tex]
[tex]y + 4 = \frac{3}{5}\cdot x -\frac{6}{5}[/tex]
[tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex]
The equation of the line is [tex]y = \frac{3}{5}\cdot x -\frac{26}{5}[/tex].
What’s the coordinates for Y-3>2x+2 on a graph?
Is A ABC similar to A DEF? Why or why not?
B
E
8 ft
95
6 ft
95°
d
25°
60°
25°
60°
А
10 ft
F
CD
7.5 ft
#
Choice
A.
Yes, because the angles are congruent and the sides are
proportional
B.
Yes, because if at least one pair of angles are equal, the
triangles are similar.
C.
No, because although the angles are congruent, the sides are
not.
D.
We cannot tell because the third side is not given.
A
B
С
D
Answer:
Its either A or B
Step-by-step explanation:
I am not sure tho
Answer:
B ,because they are similar
my teacher told me
TWO TEST
23. Evaluate 4b2 for b
= -1/2
4b² when b = -1/2
[tex] = {4( \frac{ - 1}{2})}^{2} \\ = 4( \frac{1}{4}) \\ = \frac{4}{4} \\ = 1[/tex]
Answer:
-4
Step-by-step explanation:
4b x 2 when b = -1/2
1) put -1/2 where b is.
4 x -1/2 x 2
2) solve.
-2 x 2
-4
Write the equation of the graph shown below in factored form?
Answer:
1st option
Step-by-step explanation:
If x = a is a zero of f(x) then (x - a) is a factor of f(x)
Here the zeros ( where the graph crosses the x- axis ) are
x = - 2, x = 1, x = 3 , then the corresponding factors are
(x - (- 2) ), (x - 1), (x - 3) , that is (x + 2), (x - 1), (x - 3)
f(x) is then the product of the factors , that is
f(x) = (x + 2)(x - 1)(x - 3)
(3 1/3) (6) What is the answer?
Answer:
20
Step-by-step explanation:
(6x3=18) (6x1/3=2) (18+2=20)
First things first!
Multiply 6 by 3 (18).
Mulitply 6 by 1/3 (2).
Add 18 and 2, and ... *drum roll*, the final answer is 20!
Hope this helps :)
Is the answer I’ve chosen correct? This is really confusing for my stressed brain :(.
Answer:
X is greater than 5.
Step-by-step explanation:
You choose the correct answer because X > 5.
Meaning that x would be any number over 5.
Jan is the regional manager of Graphic DesignWorks. She uses a company
cell phone that costs $125 each month. She manages 5 branches of Graphic
DesignWorks equally. How much of her annual cell phone bill will each branch
pay for?
A. $125
B. $300
C. $150
D. $500
Answer:
300
Step-by-step explanation:
If each branch pays the bill equally, and the bill accounts for a year's worth of pay, then you should multiply 125*12~giving you 1500
Then you divide 1500/5, since the 5 company's pay equally... this is equal to 300 dollars.
Answer:
B. $300
Step-by-step explanation:
annual : yearly
$125 per month for 12 months
125(12) = 1500
$1500 equally split among 5 branches
1500/5 = 300
Each of the 5 branches contributes $300 each per year to Jan's cell phone bill.
Find an explicit rule for the nth term of the sequence.
-1, -5, -25, -125, ...
Answer:
-(5^N)
Step-by-step explanation:
The sequence is a negated 5 to the N power
ex.) -(5^0) = -1
-(5^1) = -5
-(5^2) = -25
-(5^3) =125
help plz 20 points <33333
Answer:
B) 120 degrees
Step-by-step explanation:
it is a regular hexagon. that means all sides and all angles are the same.
Answer: B) 120
Step-by-step explanation: Since it’s a regular hexagon it will have the same side lengths and angles. So if one angle is 120, the rest will be as well.
