Answer:
2.6 m
Step-by-step explanation:
The surface area for rectangular prisms is: S = 2lw + 2lh + 2wh, where l = length, w = width, h = height.
Substitute the known values into this equation: h = 5, l = 10, w = x, S = 178
178 = 2(10x) + 2(5 x 10) + 2 (5x)
Simplify!
178 = 20x + 100 + 10x
Subtract 100 from both sides and combine x's
78 = 30x
divide both sides by 30
x = 2.6 m
answer check: 2(10 x 2.6) + 2(5 x 10) + 2 (5 x 2.6) = 178 (true!)
If the interest on Rs. 100 be Rs. 6.25p. what is the interest on Rs. 320?
6.25 / 100 = 0.0625 ( interest rate)
320 x 0.0625 = 20
answer: 20
[tex]\sf How \; do \; you\; solve\; this?[/tex]
[tex]\bf 9\left(2x+1\right)=\:9x-18[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Here we go :} [/tex]
[tex]\qquad \sf \dashrightarrow \:9(2x + 1) = 9x - 18[/tex]
[tex]\qquad \sf \dashrightarrow \:18x + 9 = 9x - 18[/tex]
[tex]\qquad \sf \dashrightarrow \:18x - 9x = - 18 - 9[/tex]
[tex]\qquad \sf \dashrightarrow \:9x = - 27[/tex]
[tex]\qquad \sf \dashrightarrow \:x = - 27 \div 9[/tex]
[tex]\qquad \sf \dashrightarrow \:x = - 3[/tex]
[tex] \textsf{Hence, value of x is -3} [/tex]
Suppose you roll a single die 5 times. What is the probability of rolling a 3, exactly 4 times?
help pls, thank you !!
Answer:
the first one is a lie
Step-by-step explanation:
caf is more 45 degrees than 25
PLEASE HELP !!!!!!!!!
Answer:
17,17,17,0.6 805-774-0842 38.05-1.06.52-2.06 1.46-2.56l8.5-4.5c1.34 98.0.4758.101Step-by-step explanation:
thanks For Answering For My Subscribe
Sarah was solving an equation for her Algebra
class. She wrote down the equation she got on a
piece of paper after completing step 2.
-3m = 2m + 20
Which equation below would represents what
algebraic property she used in step 2?
Which expressions are equivalent ( 0.2) 3 x ( 0.3 ) 4?
Hey there!
Assuming you meant….
(0.2)^3 * (0.3)^4
= 0.2^3 * 0.3^4
= 0.2 * 0.2 * 0.2 * 0.3 * 0.3 * 0.3 * 0.3
= 0.04 * 0.2 * 0.09 * 0.09
= 0.008 * 0.0081
= 0.0000648
≈ 0.000065
Therefore, your answer should be:
0.0000648
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Step-by-step explanation:
[tex] \tt{}(0.2 {)}^{3} \times (0.3 {)}^{4} [/tex]
[tex]\tt{}0.3 \times 0.06 ^{3} [/tex]
[tex]\tt{} \frac{3}{10} \times ( \frac{3}{50} {)}^{3} [/tex]
[tex]\tt{} \frac{3}{10} \times \frac{ {3}^{3} }{ {50}^{3} } [/tex]
[tex]\tt{} \frac{ {3}^{4} }{10 \times 50 ^3 } [/tex]
[tex]\tt{} \frac{81}{10 \times 5 {0}^{3} } [/tex]
[tex]\tt{}6.48[/tex]
1.Mary has ( 20xy - 10x²) sweets. She wants to divide the sweets equally among her (5x) friends.
if X=6 and Y=4, how many sweets:
how many friends does Mary have?
Answer:
Mary has 120 sweets and 30 friend.Step-by-step explanation:
if x = 6 and y = 4
then
20xy - 10x² = 20×(6)×(4)-10×(6^2) = 120
Therefore,
Mary has 120 sweets
……………………………………
if x = 6 and y = 4
then
5x = 5 × (6) = 30
…………………………
120 ÷ 30 = 4
Then 4 sweets per friend.
F
F
A
B
units
G is the centroid of triangle ABC.
What is the value of x?
What is the length of segment DG?
What is the length of segment AG?
What is the length of segment AD?
x + 2
units
units
X-15
G
G
D
E
C
с
Answer:
x = 37DG = 22AG = 44AD = 66Step-by-step explanation:
We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...
(x+7) = 2(x -15)
x + 7 = 2x - 30 . . . . eliminate parentheses
37 = x . . . . . . . . . . .add 30-x
Then AG = 37+7 = 44
and DG = 37-15 = 22.
Thus, AD = AG +GD = 44 +22 = 66
pema bedroom is 8 foot long and 14 feet wide
Answer: Area = 112 Perimeter = 44
Step-by-step explanation:
Area = length × width = 8× 14 = 112
Perimeter = 2L + 2B = (2×8) +(2×14)
Perimeter = 16 + 28 = 44
z^2 + 11z+ 28 find the factor of polynomial
Answer:
(z+7)*(z+4)
Step-by-step explanation:
The first term is, z2 its coefficient is 1 .
The middle term is, +11z its coefficient is 11 .
The last term, "the constant", is +28
Step-1 : Multiply the coefficient of the first term by the constant 1 • 28 = 28
Step-2 : Find two factors of 28 whose sum equals the coefficient of the middle term, which is 11 .
-28 + -1 = -29
-14 + -2 = -16
-7 + -4 = -11
-4 + -7 = -11
-2 + -14 = -16
-1 + -28 = -29
1 + 28 = 29
2 + 14 = 16
4 + 7 = 11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 4 and 7
z2 + 4z + 7z + 28
Step-4 : Add up the first 2 terms, pulling out like factors :
z • (z+4)
Add up the last 2 terms, pulling out common factors :
7 • (z+4)
Step-5 : Add up the four terms of step 4 :
(z+7) • (z+4)
Which is the desired factorization
HELPPPPPPP!!!!!!!!!!!!!
Answer:
[tex]b^{2} \sqrt{30b}[/tex]
Step-by-step explanation:
Find the area of the regular polygon
Answer:
162m²
Step-by-step explanation:
distance from corner to center = 1/2 of the diagonal
all sides are equal, and this has 4 sides, so it is a square
9m = 1/2 of diagonal
multiply both sides by 2 to isolate the diagonal
18m = diagonal
area of square = length²
length * √2 = diagonal
given the diagonal, we can find the length and then the area
length * √2 = diagonal
divide both sides by √2 to find the length
18m/√2 = length ≈12.7
square the length to find the area
area = 162 m²
A triangle has sides with lengths of 9 centimeters, 12 centimeters, and 15 centimeters. Is it a right triangle?
Answer:
yes, it is a right triangle.
Step-by-step explanation:
trust
HELP. HOW DO I SOLVE THIS?
The margin error is 2.82%.
What is Margin of Error?A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample
The margin of error for a sample proportion is given by
[tex]z_{\alpha /2}\sqrt{ \frac{p(1-p)}{n} }[/tex]
where p is the sample proportion and n is the sample size.
Consider the confidence level of 95%, then [tex]z_{\alpha /2}[/tex] = 1.96
p = 53% = 0.53 and n =1200
Thus, Margin of error=
[tex]z_{\alpha /2}\sqrt{ \frac{p(1-p)}{n} }[/tex]
=1.96[tex]\sqrt{ \frac{0.53(1-0.53)}{1200} }[/tex]
=1.96*0.0144
=0.0282
= 2.82%
Hence, margin error is 2.82%.
Learn more about Margin of error here:
https://brainly.com/question/3969072
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HELP ME OMG PLEASEEEEEEEEEEEEE
[tex]v = \frac{lwh}{3} [/tex]
[tex]v = \frac{12 \times 10 \times 3}{3} [/tex]
[tex]v = 120 \: {ft}^{3} [/tex]
Volume of the rectangular prism:[tex]v = lwh[/tex]
[tex]v = 12 \times 10 \times 7[/tex]
[tex]v = 840 \: {ft}^{3} [/tex]
Total volume:[tex]v = 120 + 840[/tex]
[tex]v = 960 \: {ft}^{3} [/tex]
pyramid:
lwh/2
=12×10×3/3
=120 ft^3
prism:
whl
=12×10×7
=840 ft^3
all together:
=960 ft^3
NEED HELP PLEASE
I can’t figure this question out. Hopefully you could help!
Answer:
see image
Step-by-step explanation:
If 21 people study French and everyone studies some language, then the other 4 people must be Spanish only students. 25 - 21 =4
Since 13 people study Spanish,
13-4=9
9 people must study both Fr and Sp.
If 9 people study BOTH, then
21-9=12,
12 people must be the Fr only people.
The arch-looking, upsidedownU is intersect.
Fr intersect Sp are the StudyBOTH people.
P(Both) = Both/Total
= 9/25
If you need %, divide 9÷25 and times by 100. That's 36%
F' means Not French people, which is Spanish only people (thankfully there are no No-Language-studiers bc they would count too)
P(F')
= P (not Fr)
= P (Sp Only)
= 4/25 = 16%
Which math sentence can be used to determine if this triangle is a right triangle? A triangle has side lengths 12, 15, 18. 12 + 15 = 18 12 squared + 15 squared = 18 squared 12 + 18 = 15 12 squared + 18 squared = 15 squared
Answer:
12^2 + 15^2 = 18^2
Step-by-step explanation:
If we have 3 sides of a triangle we can use the Pythagorean theorem to determine if the triangle is a right triangle
a^2 + b^2 = c^2
12^2 + 15^2 = 18^2
If this is true, then the triangle is a right triangle
Answer:
b
Step-by-step explanation:
A taiga biome is DIFFERENT from a tundra biome because it has
D
If superheroes were to fly 300 miles with one will get there first.
Superhero A: 4 miles in 4 minutes
Superhero B: 7 miles in 2 minutes
Superhero C: 2 miles in 2 minutes
Answer:
Superhero B
Step-by-step explanation:
7 miles in 2 minutes is much farther than 1 mile A minute
Write a function rule for “The output is three less than the input x.”
Answer:
y=x-3
Step-by-step explanation:
Find the value of of the thing-
[tex]5(x+4)=40[/tex]
[tex]~~~~~~5(x+4) = 40\\\\\implies x +4 = \dfrac{40} 5\\\\\implies x +4 = 8\\\\\implies x= 8-4\\\\\implies x = 4[/tex]
Consider the following statistic. as of january 2009, the usa has produced 60,000 metric tons of nuclear waste in 60 years of operating 104 nuclear power plants. on average, how much waste is produced by each plant on a monthly basis? 0.8 tons per month 83.3 tons per month 104 tons per month 866.3 tons per month
Using proportions, it is found that the average waste produced by each plant on a monthly basis is of 0.8 tons per month.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, there is a period of 60 x 12 = 720 months, with 104 plants, and 60,000 tons of waste were produced, hence the average is given by:
A = 60000/(720 x 104) = 0.8 tons per month.
More can be learned about proportions at https://brainly.com/question/24372153
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I need this pls!! I forgot my notes :(
Answer:
D
Step-by-step explanation:
when x = 0, y = 40
therefore you can pick either A or D only.
while x increases, y decreases, that's negative relation
so, answer is D
Answer:
Option D
Step-by-step explanation:
y = mx + b
b is the y - intercept (when x = 0):
this graph doesn't show any negative values on the axis so options B and C can't be true since it they have - 40 when its positive 40
y = mx + 40
The dot association is going downwards, the y values are getting smaller
making this a negative association leaving on ly option d true
Find the value of X.
Answer:
x=2
Step-by-step explanation:
[tex]2^{3x+1}+52=180^o[/tex]
[tex]2^{3x+1}+52-52=180-52[/tex]
[tex]2^{3x+1}=128[/tex]
[tex]3x+1=7[/tex]
[tex]x=2[/tex]
(Look at photo)
54. Given that P is a positive number, N is a negative
number, and | P | > | N |, which of the following
expressions has the greatest value?
Answer: Choice G [tex]\left| \frac{p-n}{n} \right|[/tex]
============================================================
Explanation:
Pick a positive number for p, and a negative value for n. Make sure that p is further away from 0 than n is (so that [tex]|p| > |n|[/tex] is a true statement).
I'll go for these values
p = 5n = -2Replace every copy of p with 5, and replace every copy of n with -2. Then evaluate or simplify. Use your calculator if needed.
Let's start with choice F.
[tex]F = \left| \frac{p-n}{p} \right|\\\\F = \left| \frac{5-(-2)}{5} \right|\\\\F = \left| \frac{5+2}{5} \right|\\\\F = \left| \frac{7}{5} \right|\\\\F = \left| 1.4 \right|\\\\F = 1.4\\\\[/tex]
Now onto choice G
[tex]G = \left| \frac{p-n}{n} \right|\\\\G = \left| \frac{5-(-2)}{-2} \right|\\\\G = \left| \frac{5+2}{-2} \right|\\\\G = \left| \frac{7}{-2} \right|\\\\G = \left| -3.5 \right|\\\\G = 3.5\\\\[/tex]
Next up is evaluating the expression for choice H.
[tex]H = \left| \frac{p+n}{p-n} \right|\\\\H = \left| \frac{5+(-2)}{5-(-2)} \right|\\\\H = \left| \frac{5-2}{5+2} \right|\\\\H = \left| \frac{3}{7} \right|\\\\H \approx \left| 0.4286\right|\\\\H \approx 0.4286\\\\[/tex]
Then let's compute expression J.
[tex]J = \left| \frac{p+n}{p} \right|\\\\J = \left| \frac{5+(-2)}{5} \right|\\\\J = \left| \frac{5-2}{5} \right|\\\\J = \left| \frac{3}{5} \right|\\\\J = \left| 0.6 \right|\\\\J = 0.6\\\\[/tex]
Lastly, compute expression K.
[tex]K = \left| \frac{p+n}{n} \right|\\\\K = \left| \frac{5+(-2)}{-2} \right|\\\\K = \left| \frac{5-2}{-2} \right|\\\\K = \left| \frac{3}{-2} \right|\\\\K = \left| -1.5 \right|\\\\K = 1.5\\\\[/tex]
-----------------------------------
To summarize, when plugging p = 5 and n = -2 into each expression, we got these results:
F = 1.4G = 3.5H = 0.4286 (approximate)J = 0.6K = 1.5Expression G leads to the largest output.
Therefore, [tex]\left| \frac{p-n}{n} \right|[/tex] has the largest value when p > 0 and n < 0.
The expression |(p-n)/n| has the greatest value. Therefore, option G is the correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, p is a positive number, n is a negative number, and |p| > |n|.
Let us consider p=5 and n=-2
Now,
F) |(p-n)/p|
= |(5-(-2))/5|
= |7/5|
= 1.4
G) |(p-n)/n|
= |(5-(-2))/(-2)|
= |7/(-2)|
= 3.5
H) |(p+n)/(p-n)|
= |(5-2)/(5-(-2))|
= |3/7|
= 0.43
J) |(p+n)/p|
= |(5-2)/5|
= |3/5|
= 0.6
K) |(p+n)/n|
= |(5-2)/2|
= |3/2|
= 1.5
The expression |(p-n)/n| has the greatest value. Therefore, option G is the correct answer.
To learn more about an expression visit;
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Help me please thank you.
1. Area of a triangle= 1/2×base.height
=1/2.14.10
=70
2. Area of a trapezium=(base 1+base 2/2)×height
= (3+7/2)×4
=20
write down the first five terms of the following sequences. a) start at 26 and subract 3. b)start at -3 and add 10.
Answer:
26, 23, 20, 17, 14, 11
-3, 7, 17,27,37,47
Step-by-step explanation:
sequence add and subject
I need help finding the unknown measures and equations pls.
Answer:
Step-by-step explanation:
10x + 8x = 180 (angles on straight line)
x = 10
AFH = 10x = 100
AFE = 8x = 80
how do i do this question?
Answer:
Step-by-step explanation:
since 2 sides are equal i.e. 6=6, It is an isosceles triangle
56+x+x=180
2x=180-56
x=62°
Please mark it as brainliest
Have a good day!