Answer:
yes 4000×48=192000
very clever....(dead serious)
Show that the set of points that are twice as far from the origin as they are from (2, 2, 2) is a sphere. Find the center and radius of this sphere.
Answer:
This is a sphere with a center [tex](\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )[/tex] and radius [tex]\dfrac{4 \sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given that: (x,y,z)
where;
d₁ is the distance from the origin = [tex]\sqrt{x^2+y^2+z^2}[/tex]
d₂ is the distance from (2,2,2) = [tex]\sqrt{(x-2)^2+(y-2)^2+(z-2)^2}[/tex]
Also;
d₁ = 2d₂
[tex]\sqrt{x^2 + y^2 +z^2 } = 2 \sqrt{(x-2)^2 +(y-z)^2+(z-2)^2}[/tex]
By squaring both sides;
[tex]x^2 + y^2 +z^2 = 2^2((x-2)^2 +(y-z)^2+(z-2)^2)[/tex]
[tex]x^2 + y^2 +z^2 = 4(x-2)^2 +4(y-z)^2+4(z-2)^2[/tex]
[tex]x^2 + y^2 +z^2 =4(x^2 -2x -2x +4) + 4(y^2 -2y -2y +4) + 4(z^2 -2z-2z+4)[/tex]
[tex]x^2 + y^2 +z^2 =4x^2 -16x +16 + 4y^2 -16y +16 + 4z^2 -16z+16[/tex]
Collect the like terms:
[tex]0 = 4x^2 -x^2 -16x +16 + 4y^2 -y^2 -16y +16 +4z^2 -z^2 -16z +16[/tex]
[tex]0 = 3x^2 -16x +16 + 3y^2 -16y +16 +3z^2 -16z +16[/tex]
Divide both sides by 3
[tex]\dfrac{0}{3} = \dfrac{3x^2 -16x +16}{3} + \dfrac{3y^2 -16y +16 }{3} + \dfrac{ +3z^2 -16z +16}{3}[/tex]
[tex]0 = {x^2 - \dfrac{16x}{3} +\dfrac{16}{3} + {y^2 - \dfrac{16y}{3} +\dfrac{16}{3}+{z^2 - \dfrac{16z}{3} +\dfrac{16}{3}[/tex]
Using the completing the square method;
[tex]3(\dfrac{160}{9}) -16 = {x^2 - \dfrac{16x}{3} +\dfrac{160}{9} + {y^2 - \dfrac{16y}{3} +\dfrac{160}{9}+{z^2 - \dfrac{16z}{3} +\dfrac{160}{9}[/tex]
[tex]\dfrac{16}{3}= (x - \dfrac{8}{3})^2+ (y - \dfrac{8}{3})^2+ (z - \dfrac{8}{3})^2[/tex]
∴
This is a sphere with a center [tex](\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )[/tex] and ;
radius; [tex]\sqrt{\dfrac{16}{3}}[/tex]
[tex]= \dfrac{4 \sqrt{3}}{3}[/tex]
Amanda made $14.50 per hour, gets a 10% raise, and works 38 hours per week.
Answer:
If the question is how much she earns per week the answer is $606.10
Which of the following would be considered a sunk cost?
where's the "following" choices
PLS HELP NOW ILL GIVE YOU BRAINLIEST ANSWER !!
Answer:
Its exponential
On Monday, the coldest temperature outside was $2$ degrees Fahrenheit. On Tuesday, Ms. Perkins tells her students that the coldest temperature outside has an absolute value of $4$ degrees.
Rachel says that Tuesday’s coldest temperature could be greater than Monday’s coldest temperature.
Tom says that Tuesday’s coldest temperature could be less than Monday’s coldest temperature.
State whether each student’s statement is true or false, and justify your answers.
Respond in the space provided
Answer:
23
Step-by-step explanation:
Answer: Rachel is correct the coldest temperature could be greater than Mondays. Step-by-step explanation: Because 2 degrees Fahrenheit is less than 4 degrees which makes Rachel right.
Which statement about the figure is false?
Answer:
what are the options and the figures???
Step-by-step explanation:
what point will correspond to the rightmost point on the reflected figure?
Answer:
Point C because your reflecting and thats the midpoint and can i have brainiest
Step-by-step explanation:
Solve for x plz.aaaa
Okay!
All we need to do to solve for x is to set up an equation!
the equation 3x + 4 represent the number of degrees of the bottom angle
→To set up the equation, however, we must find what the bottom angle is!
→This is easy since we know that all triangle are 180°
→The diagram already gives us to angles, so to find the third angle, we use simple subtraction
*the little corner with the red square is always 90°
180 = 90 + 50 + ?
? = 180 - 90 - 50
? = 40°
The angle is 40° !
→Now we can finally find x!
→To find x, we just set the equation they give us equal the degrees of the angle that we just found
3x + 4 = 40°
SOLVE !
3x = 36
x = 36/3
x = 12
We did it! Hope I helped ! :)
Given: AB ≈ BC and E is the midpoint of AC.
Prove: BAD ZBCD
Answer:
the proving is probably transitive
(PLEASE HELP)A very small serving of ice cream contains 480 calories. 120 calories come from fat. What
percent of the total calories come from fat?
Answer:
25%
Step-by-step explanation:
120/480=0.25
Answer:
25%
Step-by-step explanation:
120/480 = 0.25 * 100 = 25
The shape with corners A(-6,-4), B(-3,-1), C(0,-2), and D(-6,-8) is a trapezoid. What pair of sides are parallel?
Answer:
Step-by-step explanation:
Is AB congruent to CB?
Answer:
yes
Step-by-step explanation:
they are congruent
what the answer :( can anyone tell me?
Answer:
Its B.
Step-by-step explanation:
Answer:
I belived that would be B.
Step-by-step explanation:
B. will be your answer
hope this helps! I just finished these in math:)
have an amazing day! Study hard:)
46 cubes are shaded out of 100. What is the ratio
Answer:
46/100 or 23/50
Step-by-step explanation:
Help Me in this math question ASAP
Answer:
d i think i am not super sure
Step-by-step explanation:
In the figure below, AMNO
APQR. Determine the length of QR.
M
2y + 3
4x-2
x+ y
R
21
9
O 14
O3
O 12
Given:
[tex]\Delta MNO\cong \Delta PQR[/tex]
To find:
The length of QR.
Solution:
We have,
[tex]\Delta MNO\cong \Delta PQR[/tex]
Then, [tex]MN=PQ[/tex] (CPCTC)
[tex]10=4x-2[/tex]
[tex]10+2=4x[/tex]
[tex]12=4x[/tex]
Divide both sides by 4.
[tex]\dfrac{12}{4}=x[/tex]
[tex]3=x[/tex]
Similarity,
[tex]MO=PR[/tex] (CPCTC)
[tex]2y+3=21[/tex]
[tex]2y=21-3[/tex]
[tex]2y=18[/tex]
Divide both sides by 2.
[tex]y=9[/tex]
Now,
[tex]x+y=3+9[/tex]
[tex]x+y=12[/tex]
Therefore, the correct option is d.
YOUT Tasha earned $50 from babysitting for 4 hours. What is her hourly rate?
Im pretty stuck
x−6≤3
Could some one help me simplify this answer and solve for x
Thanks
If Paul buys 2 kilograms of size 6 screws, 1.6 kilograms of size 1 screws, and 2.5 kilograms of size 4 screws, how much will he spend?
someone help me on this question
it's two step inequalities
i forgot how to do this
Answer:
if I'm not wrong, its x>34
Step-by-step explanation:
multiply both sides by 3
3(x - 4)/3 > 10 x 3
x - 4 > 30 (simplify)
add 4 to both sides and x > 34
please help me out with this
Answer:
42 degrees
Step-by-step explanation:
The two identical lines in sides JK and KL means that the sides are equal. This means that the triangle is an isosceles triangle with the angles J and L being equal. This means that 54+x and 5x-6 are equal. We set this as 54+x = 5x-6. We simplify this to get x = 15. Angle J and L are equal to 69. The angles in a triangle add up to 180, so 69+69 = 138. 180-138 = 42, which is angle K
Piper invested $4.700 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 19 years?
Answer:
The answer to the nearest CENT is A= 11699.69
The amount of money would be $11.4 in the account after 19 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given that Piper invested $4.700 in an account paying an interest rate of 4.8% compounded continuously.
p = $4.700
r =4.8%
t = 19 years
A = P(1+r/100)ⁿ
Substitute the values of p,r, and t in the formula,
A = 4.700 (1 + 4.8/100)¹⁹
A = 4.700 (1 + 0.048)¹⁹
A = 4.700 (1.048)¹⁹
A = 11.454133
Rounded to the nearest cent
A = 11.4
Therefore, the amount of money would be $11.4 in the account after 19 years.
To learn more about Compound interest click here:
brainly.com/question/25857212
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Find the missing angle x. Round to the nearest whole number.
7
15
.ro
Not drawn to scale
Plz need help. I’m stuck on this one
Answer:
The product of 3[tex]\sqrt{8}[/tex] (4 [tex]\sqrt{3}[/tex]) is 24[tex]\sqrt{6}[/tex]
The answer is A.
Which statement is true about -14 and -8?
-14>- 8 because -14 is located to the left of -8 on the number line.
O
-14<-8 because -14 is located to the left of -8 on the number line.
O
-14> - 8 because -14 is located to the right of -8 on the number line.
-14<-8 because - 14 is located to the right of -8 on the number line.
O
Previous
Answer:
A
Step-by-step explanation:
-14>-8 because -14 is located to the left of -8 on the number line.
30 points and brinliest answer! A group of friends go to a family fun park. The park has games and rides.
Arabella plays 6 games and rides 4 rides for $22.00.
Xavier plays 4 games and rides 8 rides for $32.00.
What is the cost, in dollars and cents, of playing 1 game, to the nearest cent?
Answer:
It costs $1.50 or $1 and 50cents to play one game
Step-by-step explanation:
let x represent cost of games and y represent cost of rides
6x+4y=$22——equation 1
4x+8y=$32——equation 2
Multiply equation 1by 2
2(6x+4y=$22)=12x+8y=$44
Subtract equation 2from 1 to eliminate y
12x-4x+8y-8y=$44-32
8x=$12
x=$12/8=$1.5
Plug in x=1.5 into equation 2
4($1.5)+8y=$32
8y=$32-$6
8y=$26
y=26/8=$3.25
Two dogs ate 5 cans of dog food in 3 days. Based on this information, which proportion can be used to find c, the number of cans of food these dogs will eat in 1 week?
Answer:
(3÷5)7
Step-by-step explanation:
Which expression can be used to find 25 percent of 88?
Answer:
25 percent of 88 is 25/100* 88 = 22
Step-by-step explanation:
The table below shows the February balance of a simple interest savings account each year from 2015 to 2021 (7)
Do the balances form an arithmetic or geometric sequence?
What is the d or the r?
Write a formula for the balance in the account n years after February 2015.
Find the sum of the February balances from 2015 to 2032, inclusive.
As the difference between consecutive terms is the same, the balances form an arithmetic sequence, and:
The common difference is d = 2018.The formula for the balance is: [tex]a_n = 12000 + 2018(n - 1)[/tex]The sum of the balances from 2015 to 2032 is of 478,488.What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
The sum of the first n terms is given by:
[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]
From the table, the first term and the common difference are given as follows:
[tex]a_1 = 12000, d = 2018[/tex]
Hence the formula for the balance in the account n years after February 2015 is:
[tex]a_n = 12000 + 2018(n - 1)[/tex]
2032 is 17 years after 2015, hence:
[tex]a_{17} = 12000 + 2018(17 - 1) = 44288[/tex]
The sum is given by:
[tex]S_{17} = \frac{17(12000 + 44288)}{2} = 478,488[/tex]
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
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A grocer is stocking cans of beans on his shelf for a 7-day week and will
sell at least 4 cans of beans every day. The inequality, na 4d can be used
to determine n, the number of cans the grocer will sell during d days the
store is open. Which of these is not a reasonable number of cans of beans
to stock on the shelf for the week? *
Answer:
22Step-by-step explanation:
Given inequality:
n ≥ 4dAs the number of days is 7, the number of cans is:
n ≥ 4*7 = 28From the options, the last one is not reasonable:
22 because it is less than 28