Answer:
Hey there!
The angle is 24 degrees.
The angle complementary to the 66 degrees is 24 degrees, and the unknown angle is also 24 degrees because these are alternate interior angles.
Let me know if this helps :)
A shipping container is in the shape of a right rectangular prism with a length of 9 feet, a width of 12 feet, and a height of 14.5 feet. The container is completely filled with contents that weigh, on average, 0.83 pounds per cubic foot. What is the weight of the contents in the container, to the nearest pound
Answer:
1,300 lb.
Step-by-step explanation:
V = 9 × 12 × 14.5 = 1566 ft³
1,566 × 0.83 = 1,299.78 ≈ 1,300 lb.
A cook uses fifteen 2litter bottles of cooking oil in a week. If he decides to buy 5 litter tins of cooking oil instead how many tins of cooking oil will he use over a 10 week period if the rate at which he uses it remains unchanged.
Answer:
300 liters
Step-by-step explanation:
If he uses 15, 2 liter bottles in a week,
then 15 * 2 = 30 liters in a week.
If he uses the same rate in 10 weeks then,
10 * 30 = 300 liters
Bernita and Derek each plot a number on a number line. the numbers are unique but have the same absolute value. the sum of the absolute values of the numbers is 50. what are the two numbers
Answer:
-25, 25
Step-by-step explanation:
Since the numbers have the same absolute value and the sum of their absolute values is 50, they both must have an absolute value of 50/2 = 25.
Unique numbers with the same absolute value will have opposite signs.
The numbers are -25 and 25.
find y.
picture attached
when x=1,2,3,.... find limit x->infinity
choice
a. 0
b. 1
c. 2
d. 3
f. 4
help me!!!
Let y = √x, so the limit can be rewritten as
[tex]\displaystyle \lim_{y\to\infty}\left(\frac{\sqrt{y^6+y^2}}{y^2+3} - \frac{\sqrt{y^4+1}}{y+4}\right)[/tex]
Now,
[tex]\sqrt{y^6+y^2} = \sqrt{y^2\left(y^4+1\right)} = y\sqrt{y^4+1}[/tex]
so we can rewrite the limit further as
[tex]\displaystyle \lim_{y\to\infty}\left(\frac{y}{y^2+3} - \frac1{y+4}\right)\sqrt{y^4+1}[/tex]
Combine the rational terms:
[tex]\dfrac y{y^2+3} - \dfrac1{y+4} = \dfrac{y(y+4)-(y^2+3)}{(y^2+3)(y+4)} = \dfrac{4y-3}{(y^2+3)(y+4)}[/tex]
Then in the limit, we get
[tex]\displaystyle \lim_{y\to\infty}\frac{(4y-3)\sqrt{y^4+1}}{(y^2+3)(y+4)} = \lim_{y\to\infty}\frac{(4y^3-3y^2)\sqrt{1+\dfrac1{y^4}}}{y^3+4y^2+3y+12} \\\\ = \lim_{y\to\infty}\frac{\left(4-\dfrac3y\right)\sqrt{1+\dfrac1{y^4}}}{1+\dfrac4y+\dfrac3{y^2}+\dfrac{12}{y^3}} = \boxed{4}[/tex]
Of the 34 cars in a parking lot, 20 are green, 8 are gold, and the rest are black. What are
the odds against the next car leaving the lot being black?
A) 3:14
B) 3:28
C) 28:3
D) 14:3
Answer:c
Step-by-step explanation:
please help someone..
Answer:
x=(3e+2d)/(2g-ef)
Step-by-step explanation:
d=e(3+fx)/(2+gx)
or, 2d+2gx=3e+efx
or, 2gx-efx=3e+2d
or, x(2g-ef)=3e+2d
or, x=(3e+2d)/(2g-ef)
Answer:
x = (-2d + 3e) / (dg - fe)
Step-by-step explanation:
We solve it by using algebra.
1. Multiply each side by 2 + gx:
dgx + 2d = fxe + 3e
2. Subtract fxe on both sides:
dgx − fxe + 2d = 3e
3. Subtract 2d from both sides:
dgx − fxe = −2d + 3e
4. Factor out x:
x (dg − fe) = −2d + 3e
5. Divide dg - fe:
x = (-2d + 3e) / (dg - fe)
I hope this helped! :D
Simplify the expression. (3x2 – 4x + 1) + (-x2 + x – 9)
Answer: 2x2−3x−8
Step-by-step explanation:
Sophie shares her cake with her friends. she gives Lionel a quarter and Helen half of the rest. what fraction remains for her
Answer:
one and a half quaters
Step-by-step explanation:
4/4 is a whole
The they take one 1/4
then that gives you 3/4
which is then 1.5/4 left for you
Answer:
3/8
Step-by-step explanation:
Hi! So what really helps me sometimes is to draw a circle and split it. I shaded 1/4 (Lionel's quarter) first. Now, there is 3/4 of the cake left. Helen has half of the rest, which means she has half of 3/4. 1/2 of 3/4 (which is basically 1/2 x 3/4) = 3/8. This means Helen has 3/8 of the cake. I then split my circle into eighths and shaded in 3. This left me with 3/8 of the cake left for Sophie. This means the fraction that remains for her is 3/8.
I hope this helped :)
128 is the product of hectors score and 8
Fastest answer will be the brainliest
Answer:
The equation would be 8h= 128
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
128=8hWhen you divide both sides by 8, you end up with:
16
Santiago receives $179
per year in simple interest from three investments. Part is invested at 2%, part at 3%, and part at 4%. There is $500 more invested at 3% than at 2%. The amount invested at 4% is four times the amount invested at 3%. Find the amount invested at each rate.
9514 1404 393
Answer:
$400 at 2%$900 at 3%$3600 at 4%Step-by-step explanation:
Let x represent the amount invested at 3%. Then (x -500) is the amount invested at 2%, and 4x is the amount invested at 4%. The total interest income is ...
0.02(x -500) + 0.03x + 0.04(4x) = 179
0.21x -10 = 179 . . . . . simplify
0.21x = 189 . . . . . . . . add 10
x = 900 . . . . . . . . . . . divide by 0.21
x -500 = 400
4x = 3600
$400 is invested at 2%; $900 is invested at 3%, $3600 is invested at 4%.
how do you find the area of an open cylinder... what is the Formula?? please help
Answer:
Cylinder has a formula
π×r²×h
so of it is open
π×r²×h - π×r²
Answer:
pls give brainiest
Step-by-step explanation:
A=2πr×h(r+h)
which doesnt belong and why
Answer:
C
Step-by-step explanation:
They all have and addition and subtraction pattern in each cube, thank me later - PrObLeM OcCuReD
Select the representations that do not change the location of the point (6, 170°). a. (-6, 350°) b. (-6, 190°) c. (-6, -10°) d. (6, -190°)
Answer:
b) (_6,198,) 1112334dccfsshh
What x value solves the equation? 3x – 5 = 1 x =
Answer:
x = 2
Step-by-step explanation:
3x - 5 = 1
Adding 5 to both sides gives us:
3x - 5 + 5 = 1 + 5
3x = 6
Dividing the equation by 3 gives us:
3x / 3 = 6 / 3
x = 2
Answer:
x = 2 Hfizfifsits96eotst9s
Can somebody please tell me if it’s right? i’ll mark u the brainliest
Answer:
Yes, you are correct.
Step-by-step explanation:
You are substituting the measure of angle x as the measure of angle a since they are congruent to each other.
Find the slope of the line that contains (-1, 9) and (9, 9).
Step-by-step explanation:
using the slope formula, we can see that the slope is 0
what is the difference between prime factors and odd numbers
Answer:
prime factors are factors of a number that are prime numbers, (meaning they can only be divided by 1 and itself), while odd numbers are numbers that are odd..
all odd numbers have prime factors but not all prime factors are odd numbers
Find the solution set of the inequality. -25 > -5(x + 2.5
Answer:
-25 > -5(x+2.5)
-25 > -5x -12.5
x > 5/2
please click thanks and mark brainliest if you like :)
Answer:
x < 2.5
Step-by-step explanation:
-25>-5(x-12.5)
-25 > -5x -12.5
add 12.5 to both sides
-25+12.5 > -5x -12.5+12.5
-12.5> -5x
divide both sides by -5
(-12.5/-5)> -5x/-5
x>2.5
since we divided by a negative,the inequality sign will flip over
x<2.5
Plz helpppppp I need help fast !!!!!!!!!!
Answer:that s math
Step-by-step explanation:
Answer:
the choices for answers are technically incorrect...
the "correct" answer is [tex]m^6n^4[/tex]
the answer that matches that (which is not simplified) is:
"A": [tex]\frac{m^{7} n^{3} n}{m}[/tex]
Step-by-step explanation:
Consider the equation 5(10)^(z/4)=32 Solve the equation for z, express the solution as a logarithm in base-10
Answer:
[tex]\displaystyle z = 4\, \log_{10} \left(\frac{32}{5}\right)[/tex].
Step-by-step explanation:
Multiply both sides by [tex](1/5)[/tex] and simplify:
[tex]\displaystyle \frac{1}{5} \times 5\, (10)^{z/4} = \frac{1}{5} \times 32[/tex].
[tex]\displaystyle (10)^{z/4} = \frac{32}{5}[/tex].
Take the base-[tex]10[/tex] logarithm of both sides:
[tex]\displaystyle \log_{10}\left(10^{z/4}\right) = \log_{10} \left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle \frac{z}{4} = \log_{10}\left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle z = \log_{10}\left(\frac{32}{5}\right)[/tex].
25 point please help I would really appreciate it :)))
Answer:
(a) 40
(b) 15% per week, to the nearest percent.
Step-by-step explanation:
Given:
old production,
P(w) = 230(1.1^w)
(a) At week 0, w=0, so
P(0) = 230(1.1^0) = 230
Difference (old - new) = 230-190 = 40
(b) about 15% per week
(c) from the 4th week on
approximate growth rate of new factory
N(w) = 190(R^w)
we know
w=0, N(0) = 190
w=7, N(7) = 505
so R=(505/190)^(1/7) = 1.1499 = 1.15 approx.
(c)
The old production tabulated:
w P(w) New
0 230 190
1 253 220
2 278 252
3 306 290
4 337 337
5 370 380
6 407 440
7 448 505
So we see that at the end of the 4th week, the two productions match, and new factory begins to exceed old production.
Which statement is true about the solutions to x^2 - 1 = 24
A. There are two distinct irrational solutions.
B. There are two distinct rational solutions
C. There is only one rational solution
D. There is only one irrational solution
Answer:
B. There are two distinct rational solutions
Step-by-step explanation:
x^2 -1 = 24
Add 1 to each side
x^2 -1+1 = 24+1
x^2 = 25
Take the square root of each side
sqrt(x^2) = ±sqrt(25)
x = ±5
Answer:
B.
Step-by-step explanation:
x^2 - 1 = 24
x^2 = 25
Taking the square root of both sides:
x = -5, 5.
2 distinct rational solutions.
what are the next 3 terms in the sequence? 0.8,1,1.2,1.4,1.6....
Answer:
The next three terms are 1.8, 2.0, and 2.2.
Step-by-step explanation: We can subtract a number of the sequence minus the number right before that number. For example, 1-0.8=0.2 and 1.4-1.2=0.2. So, we have to add 0.2 from 1.6 to find the next term which is 1.8, then add 1.8+0.2 to get 2 as the number after that, then add 2+0.2=2.2 to get the final number. Som your answer is 1.8,2.0,2.2. Hope this helped.
HELP PLEASE ITS URGENT PLEASE
Answer: 17
Step-by-step explanation:
Using Pemdas, simplify the exponents, and then solve the multiplication and division inside the parentheses before subtracting. 10-9 = 1 so 1*7 =7
10 +7 is 17.
also i hope this helps and i hope this is not a test...
On a coordinate plane, triangle A B C is shown. Point A is at (negative 2, negative 4), point B is at (2, negative 1), and point C is at (3, negative 4). Triangle ABC is an isosceles triangle in which side AB = AC. What is the perimeter of triangle ABC? 5 + StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 10 StartRoot 10 EndRoot units 50 units
Answer:
B, 10+ /10 units
Step-by-step explanation:
How to solve this Pythagoras’
Answer:
Step-by-step explanation:
Hypotenuse = Length of ladder = 10m
Distance between wall and end of the ladder at ground = leg ² = 2 m
Height of wall = x m
Use Pythagorean theorem
leg² +x² = 10²
2² + x² = 100
4 +x² = 100
x² = 100 -4
x² = 96
x = √96
x = 9.7979
x = 9.798 m
|-6+8| = simplify the expression
Answer:
2
Step-by-step explanation:
|-6+8|
Add/subtract the numbers: -6 + 8 = 2
= |2|
Apply the absolute value rule: |a| = a, a ≥ 0
= 2
Simplify.
3^2+ (9-8/2)
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------------
Answer: 14.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
First we calculate 3 to the power of 2 and get 9.
|
\/
9 + 9 - [tex]\frac{8}{2}[/tex] = 14.
Now we add 9 + 9 to get 18.
18 - [tex]\frac{8}{2}[/tex] = 14.
Then, we divide 8 by 2 to get 4.
18 - 4 = 14.
Then we subtract 4 from 18 to get.....You guessed it, 14!
Answer: 14
PEMDAS
P: Parentheses
E: Exponets
M: Multiplcaction
D: Divison
A: Addition
S: Subtraction
PEMDAS can also be known as Please Excuse My Dear Aunt Sally
P: [tex](9-8/2)[/tex]
E: [tex]3^2[/tex]
M: [tex]3*3[/tex]
D: [tex]8/2[/tex]
A: [tex]9+5[/tex]
S: [tex]9-8/2[/tex]
Multiply
E: [tex]3^2=3*3=9[/tex]
M: [tex]3*3=9[/tex]
Divide
D: [tex]8/2=4[/tex]
Subtract
S: [tex]9-4=5[/tex]
Add
A: [tex]9+5=14[/tex]
Answer: [tex]14[/tex]
The reason why we didn't use P to get our answer because it would of messed up the steps. So instead we separated it by dividing 8/2 in D and 9-4-5 for S.
Which is the simplified form of the expression ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared?
Answer:
[tex]\dfrac{1}{6561}[/tex]
Step-by-step explanation:
Given the expression [tex][(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}[/tex], Using the laws of indices to simplify the expression. The following laws will be applicable;
[tex]a^m*a^n = a^{m+n}\\(a^m)^n = a^{mn}\\[/tex]
[tex]a^{-m} = 1/a^m[/tex]
Given [tex][(2^{-2})(3^{4})]^{-3} * [(2^{-3})(3^2)]^{2}[/tex]
open the parenthesis
[tex]= (2^{-2})^{-3}(3^{4})^{-3}* (2^{-3})^2(3^2)^2\\\\= 2^{-2*-3}* 3^{4*-3} * 2^{-3*2} * 3^{2*2}\\\\= 2^6 * 3^{-12} * 2^{-6} * 3^4\\\\collecting \ like \ terms\\\\= 2^6 * 2^{-6} * 3^{-12} * 3^4\\\\= 2^{6-6} * 3^{-12+4}\\\\= 2^0 * 3^{-8}\\\\= 1 * \frac{1}{3^8}\\ \\= \frac{1}{6561}[/tex]