Answer:
D. 4
Step-by-step explanation:
If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.
I hope this helped and have a good rest of your day!
The length of an arc of a circle is 9.42cm. If the diameter of the circle is 10cm, find the angle subtended by the arc at the center of the circle. (Take π = 3.142)
SHOW ALL WORKING.
Answer:
1.89 radians or 108 degrees.
Step-by-step explanation:
Circumference of the circle = 10 * 3.142
= 31.42.
So 31.42 is equivalent to 2 pi radians, so:
Angle subtended at the center
= (9.42 / 31.42) * 2 pi
= (9.42 / 31.42) * 2 * 3.142
= 1.89 radians or 108 degrees..
Given a school supply store sells pencils for $2, pens for $4, and markers for $5. Write an expression for the total cost of 3 pencils, 2 pens, and 3 markers
Answer: 29
Step-by-step explanation:
3x2= 6
4x2=8
3x5=15
6+8+15= 29
hoped I helped you a bit! Good luck! :)
PLEASE HELP I"M BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to log Subscript 12 Baseline StartFraction x Superscript 4 Baseline StartRoot x cubed minus 2 EndRoot Over (x + 1) Superscript 5 Baseline EndFraction?
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x times 1)
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline StartFraction x cubed Over 2 EndFraction minus 5 log Subscript 12 Baseline 1
log Subscript 12 Baseline 4 x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x) + 1
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Answer:
[tex]D)4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
(4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Step-by-step explanation:
Given the expression:
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}[/tex]
first apply the division law of logarithm:
[tex]log_{a}x/y=log_{a}x-log_{a}y[/tex]
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}=log_{12}x^4\sqrt{x^3-2}-log_{12}(x+1)^5[/tex]
Next, by addition law:[tex]log_{a}xy=log_{a}x+log_{a}y[/tex]
[tex]=log_{12}x^4+log_{12}\sqrt{x^3-2}-log_{12}(x+1)^5\\\\Log a^m=mLog a, Log \sqrt{x}=log x^{1/2}\\\\ =4log_{12}x+log_{12}(x^3-2)^{1/2}-5log_{12}(x+1)\\\\=4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
Answer:
Its D on edge
Step-by-step explanation:
Can someone help me
Answer:C
Step-by-step explanation:
pays $0.72\$0.72 $0.72 dollar sign, 0, point, 72 in sales tax. The sales tax rate is 6%6\% 6% 6, percent . What is the original price of the bracelet, before tax?
Complete Question
Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%. What is the original price of the bracelet, before tax?
Answer:
$12
Step-by-step explanation:
Let the original price of the bracelet before tax =x
Tax rate =6%
That means:
6% of x =$0.72
0.06x=0.72
Divide both sides by 0.06
x=$12
The original price of the bracelet, before tax is $12.
What is the slope-intercept form of an equation of a line perpendicular to y=2x−3 and passing through the point (5,−1)?
Answer:
y=-2x+9
Step-by-step explanation:
1. Make m value opposite of og m value.
2. Then plug in variables x and y into the equation
3. Solve for b
-1 = -2(5) + b
9 = b
4. You have the answer
2/7 as a percent to the nearest whole number
2. 2x - y = 6,
- x + y = -1
Answer:
x = 5
y = 4
Step-by-step explanation:
just substitute the value of one variable into the other
-x +y = -1
or y = -1 +x <-------- (i just added x to the right side)
now u know what y is equal to, just substitute that value into the first equation
2x - (-1+x) = 6 <-------- instead of y, i put the value of y from the 2 equation
NOW SOLVE FOR X!
2x +1 -x = 6
x + 1 = 6
x = 5
now solve for y since you have the value of x
y = -1 + x
or y = -1 + 5
y = 4
Answer:
y=3.166 x=4.166
Step-by-step explanation:
One telephone company charges $16.95 per month and $0.05 per minute for local calls. Another company charges $22.95 per month and $0.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?
Answer:.03x=6
Step-by-step explanation x=200 minutes
Answer:
200 minutes
Step-by-step explanation:
To find this, you should first set up an equation. Since you are trying to find the point where both plans cost the same, set them equal to each other. Let x be the cost for both. Write the equation:
[tex]16.95+0.05x=22.95+0.02x[/tex]
We place the x with the cost per minute because this is what you are trying to find. We add the cost per month.
Solve for x. Subtract 16.95 from both sides and simplify:
[tex]16.95-16.95+0.05x=22.95-16.95+0.02x\\0.05x=6+0.02x[/tex]
Subtract 0.02x from both sides:
[tex]0.05x-0.02x=6+0.02x-0.02x\\0.03x=6[/tex]
Divide both sides by 0.03:
[tex]\frac{0.03x}{0.03}=\frac{6}{0.03}\\ x=200[/tex]
At 200 minutes, the cost for both plans would be the same.
Please help. I also will post another question I need help with. Thank you if you help.
Geometric progression, first term 5, common ratio 3.
Answer: 5, 15, 45, 135
Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
What Is The Answer
Step-by-step explanation:
2 Buildings : 3 Floors Each : 16 Windows per Floor
Multiply 2 and 3 to get the total amount of floors.
2 times 3 equals 6
Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.
6 times 16 equals 96
Therefore, there are 96 windows in total or 48 windows per building
evaluate the expression -3 times 0.4 to the power of 2 + -1.1 to the power of 3?
Answer:
idk i have the same question
Step-by-step explanation:
2x-y<5
[tex]2x - y \leqslant 5[/tex]
Answer:
Step-by-step explanation:
Please be sure to include the directions when you post a question. I will assume you want to graph this inequality 2x - y ≤ 5.
2x - y = 5 is a linear function whose graph is that of a straight line. Because of the ≤ sign, the solution set includes all points on this straight line PLUS all points below it.
x - intercept: Set y = 0 in 2x - y = 5 and solve the resulting equation for x:
2x - 0 = 5. Then x = 5/2, and the x-intercept is (5/2, 0).
y-intercept: Set x = 0 and solve for y: 2(0) - y = 5: y = -5. Then the y-intercept is (0, -5).
Plot both points (5/2, 0) and (0, -5). Draw a solid line through them. Shade the area BELOW this line.
Teri has a bag of colored marbles. Five marbles are red, four are green, ten are blue, and one is white. Marbles are randomly selected out of the bag.
What is the probability of selecting a red marble and then a white marble without replacement?
Answer:
1/76
Step-by-step explanation:
Five marbles are red,
four are green,
ten are blue, and
one is white.
Sample space S= 5+4+10+1= 20
Probability of selecting a red Mable
Pr(red) = 5/20= 1/4
Probability of selecting a white Mable without replacement after the first selection
Pr(white) = 1/19= 1/19
the probability of selecting a red marble and then a white marble without replacement?
= 1/4*1/19= 1/76
help plz! (a + b - c)(a + b + c) multiplying polynomials
Answer:
a^2 + 2ab + b^2 - c^2
Step-by-step explanation:
When you multiply all the terms together you get a^2 + ab + ac + ab + b^2 + bc - ac - bc - c^2. Then you can just combine like terms and simplify it to a^2 + 2ab + b^2 - c^2. Hope this helps :)
You buy a classic comic book for $45. You want to resell it and make a $15 profit. What percent do you need to markup the comic book?
33% profit
ratio: 15:45
That can be simplified into 1:3
The price is increased by $15, which is 1/3 of the original $45.
1/3 as a percentage is about 33%.
Which expression is equivalent?
7 − 4(2x − 3)
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19
Answer:
this is so overdue
Step-by-step explanation:
a trapezoid has bases that measure 9cm and 5 cm. the height of the figure is 4cm. what is the area of the trapezoid
Answer:
28cm^2
Step-by-step explanation:
The area of a trapezoid is the bases added divided by two times the height.
(9+5)/2*4=7*4=28
28cm^2
Can someone please help with these 4 questions?
Answer:
Q4. 2144 Q5. -16 Q6. Downwards Q7. 0 seconds
Step-by-step explanation:
Q4. h(t) = -16t² + 2400 Substitute 4 for t
h(4) = -16(4)² + 2400 Simplify the exponent
h(4) = -16(16) + 2400 Multiply
h(4) = -256 + 2400 Add
h(4) = 2144
Q5. I graphed the equation on the graph below to find the instantaneous velocity. The instantaneous velocity is -16.
Q6. At 4.5 seconds, the water rocket is traveling down because the highest point the rocket goes is at 2.8, so 4.5 is traveling downwards.
Q7. 0 seconds because the rocket goes 0 feet in 0 seconds.
If these answers are correct, please make me Brainliest!
What is a set of ordered pairs
Answer:
A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.
Step-by-step explanation:
out of 17,21,14,17,12,15,16 what is the mean?
Answer:
mean is 16
Step-by-step explanation:
to find the mean of the data set u add up all the numbers and then u see how many number there are in total and u divided the solution of the sum and divided it by the total number of numbers.
17+21+14+17+12+15+16 = 112
then u see how many number there are and there are 7
112/7= 16
Hi there! I need some help with this question, thx!
In the table, Pattern A uses the rule "add 5" and Pattern B uses the rule "add 15."
Pattern A is 0, 5, 10, 15, 20
Pattern B is 0, 15, 30, 45, 60
Which statement is true?
A. Every term in Pattern B is 3 times the corresponding term in Pattern A.
B. Every term in Pattern B is 10 more than the corresponding term in Pattern A.
C. Every term in Pattern B is 5 times the corresponding term in Pattern A.
D. Every term in Pattern B is 13 the corresponding term in Pattern A.
Answer:
sky im going with A
Step-by-step explanation:
Solve the following system of equations {4x−6y=105x+6y=−55
Answer:
31557778998765432
Step-by-step explanation:
is it impossible
Jason runs 440 yards in 75 seconds.at this rate,how many minutes does it take him to run a mile
Answer:
5 minutes
Step-by-step explanation:
Do a proportion
440/75= 1760/x
cross multiply
440x=1760(75)
simplify
132000/440
slove the x in the digram below explain
Answer:
x= 20
Step-by-step explanation:
a flat angle is, in terms of geometry, the space between an intersection between two lines whose opening measures 180 degrees or 180º. Since the angle is 180º there is no difference between two lines or a line and we can say that the angles in a straight line always add up to 180º.
Step 1
define
according to the graph
3x+80+2x=flat angle=180°
3x+80+2x=180°
Step 2
solve for x
3x+80+2x=180°
5x+80=180
subtract 80 in each side
5x+80-80=180-80
5x=100
divide by 5
(5x)/5=100/5
x=20
happy to help:)
Please help!!!! AWARDING BRAINLIEST!!
2/9 times n = -6. find the value of n. Please help!
Answer: n = -27
Step-by-step explanation:
2/9n = -6
divide both sides by 2/9
n = -27
Derive x and y values from given equations solve for x and y. 6x-2y=8 -6x+5y=7
Answer:
6x -2y = 8
-6x+5y = 7
3y = 15
y = 5
6x - 2(5) = 8
6x - 10 = 8
6x = 18
x = 3
(3, 5)
Step-by-step explanation:
A survey in one middle school showed that 3 out of 5 students enjoy biking on the weekends. Predict how many out of the 972 students in the school would say they enjoy biking on the weekends.
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
How many trays does he need?
Answer:
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
Then he would need 180/30 = 6 trays.
Hope this helps!
:)