G(f(10))
First solve f(x) by replacing x with 10:
F(x) = x-4 = 10-4 = 6
Now replace x in g(x) with 6
G(x) = 6-x = 6-6 = 0
So g(f(10)) = 0
How to solve these? I would like explanation please
Step-by-step explanation:
9.
it is a rectangle. 18m × 4m = 72 m²
the paving costs $35 per m², and we have 72 m², so it does not take a genius to figure out what to do next ...
right : we multiply 35 by 72
35×72 = $2520
10.
how much volume is a liter ?
a liter fits into a cube of 10cm side length.
and 1 meter = 100 cm = 10×10cm.
so, 1 m³ = 10×10×10 = 1000 such cubes of 10cm side length = 1000 liters.
the pool is 5 m × 15 m × 1.5 m = 112.5 m³ = 112500 liters
we need 2 kg salt for every 10000 liters water, so we have how many units of 10000 liters in the pool ?
112500 / 10000 = 11.25
so, we need
11.25 × 2 = 22.5 kg salt
11.
12 seconds = 1/5 of a minute.
so, batman runs at 3 km / min (= 60×3 km/hour = 180 km/h - not possible in real life for any human being, but let's play ...) for 12 seconds = 1/5th of a minute, and so he runs 3km/5 = 600 meters in that time.
that means he has 2km - 600m = 1400m left to run in the 2 km race.
it takes him 1400/3000th of a minute (3000 m would take him the full minute)
1400 m × minute / 3000 m = 14/30 = 7/15 minutes
1/15th minute = 60 seconds / 15 = 4 seconds.
so, 7/15th of a minute = 7×4 seconds = 28 seconds.
the bionic woman runs the full 2000 m with 5 km / minute.
it takes her 2000/5000th of a minute
2000 m × minute / 5000 = 2/5th of a minute.
1/5th of a minute is 60 seconds / 5 = 12 seconds.
so, 2/5th of a minute is 12×2 = 24 seconds.
therefore, the bionic woman wins by 4 seconds (24 seconds vs. 28 seconds).
12.
there is enough food for 150 students for 5 days = 150×5 =750 "food units".
therefore, if there were only 100 students, the food would last 750/100 = 7.5 days.
and if the food runs out after 4 days it means there are
750/4 = 187.5 students (how much sense that makes to have half a student ...).
13.
x = the workload to be done
Michelle's work speed is x/6 days
Danielle's work speed is x/4 days
on each day working together they achieve
1× x/6 + 1× x/4 of the total work load.
that is
2x/12 + 3x/12 = 5x/12
so, they need 5x/12 × a days to finish the whole x.
5x/12 × a = x
5/12 × a = 1
5a = 12
a = 12/5 = 2.4 days to finish the whole work when working together.
Will Give Brainliest, answer ASAP x=
y=
z=
Opposite angles are identical.
11y = 55
Y = 55/11
Y = 5
3z-4 = 110
Add 4 to both sides
3z= 114
Z = 114/3
Z = 38
180 -110 = 70
55 + x = 70
X = 70-55
X =15
X = 15, y = 5, z = 38
Answer:x=15, y=5, z=38
Step-by-step explanation: you know that opposite angles are the same. y=5
add 4 to both sides. and you get the value for x y z.
-4.326 + (-0.32) ÷ 0.4
Answer:
-5.126
Step-by-step explanation:
PEMDAS
-4.326 + (-0.32) ÷ 0.4
-0.32 ÷ 0.4
= -0.8
-4.326 + (-0.8)
= -4.326 - 0.8
= -5.126
Please help me find x
Need help fast!!
Answer:
x = 100°
Step-by-step explanation:
p and q are parallel lines. Construct line 'l' parallel to p and q
a = 30° {p// l when parallel lines are intersected by transversal alternate interior angles are congruent}
c +110 = 180 {linear pair}
c = 180 - 110
c = 70°
b= c {q // l when parallel lines are intersected by transversal alternate interior angles are congruent}
b = 70°
x = a + b
x = 30° + 70°
x = 100°
Here is a rule to make a list of numbers: Each number is 4 less than 3 times the previous number. Start with 10, build a sequence of 5 numbers.
Answer:
10,26,74,218,650
Explanation:
Each number is 4 less then 3 times than previous number.
The list of number is bounded by a set of rules that guide the creation of the set of numbers. The first 5 terms are: 10, 26, 74, 218, 650
Represent the number of terms with n.
So, the nth term is: [tex]T_n[/tex]
The start of the build is 10 means:
[tex]T_1 = 10[/tex]
The rule to generate the next terms is:
[tex]T_{n+1} = 3 \times T_n - 4[/tex] ---- i.e. 4 less than 3 times the previous term
So, the next terms till the 5th are:
[tex]T_{2} = 3 \times 10 - 4 = 26[/tex]
[tex]T_{3} = 3 \times 26- 4 = 74[/tex]
[tex]T_{4} = 3 \times 74- 4 = 218[/tex]
[tex]T_{5} = 3 \times 218- 4 = 650[/tex]
So, the first 5 terms are: 10, 26, 74, 218, 650
Read more about patterns at:
https://brainly.com/question/13382968
[tex] \frac{15x - 8 }{3} + \frac{9x - 3}{2} [/tex]
Greetings from Brasil...
Here is the problem:
[(15X - 8)/3] + [(9X - 3)/2]
Let's multiply everything by 6
[6.(15X - 8)/3] + [6.(9X - 3)/2]
[2.(15X - 8)] + [3.(9X - 3)]
30X - 16 + 27X - 9
57X - 25Maria has eight black marbles, fourteen clear marbles, and twelve blue marbles in a bag. If she picks two marbles at random, without replacement, what is the probability that she will select a blue marble first, then a clear marble?
Answer:
[tex]\boxed{0.15}[/tex]
Step-by-step explanation:
Part 1: Solve for the total amount of marbles
To solve for the probability of certain events, a population is needed to derive this information from. In order to find this population, add up the amounts of each marble.
8 + 14 + 12 = 34 marbles
Part 2: Determine the probabilities
Now, given the amounts of marbles, simply multiply the ratios of blue marbles to total marbles and the ratio of clear marbles to total marbles to get the combined probability.
[tex]\frac{12}{34}*\frac{14}{33} = \frac{28}{187} \approxeq 0.1497 \approxeq 0.15 * 100 = 15[/tex]
The probability of these events occurring simultaneously is 15%.
I REALLY need help with these 3 questions plz!!!!
Answer:
6. No. See explanation below.
7. 18 months
8. 16
Step-by-step explanation:
6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.
Let's find the GCF of 85 and 99:
85 = 5 * 17
99 = 3^2 + 11
5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.
Answer: No because the GCF of 85 and 99 is 1.
7.
We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.
6 = 2 * 3
9 = 3^2
LCM = 2 * 3^2 = 2 * 9 = 18
Answer: 18 months
We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.
Month Charlie Dasha
1 home home
2 home home
3 home home
4 home home
5 home home
6 trip home
7 home home
8 home home
9 home trip
10 home home
11 home home
12 trip home
13 home home
14 home home
15 home home
16 home home
17 home home
18 trip trip
Answer: 18 months
8.
First, we find the prime factorizations of 96 an 80.
96 = 2^5 * 3
80 = 2^4 *5
GCF = 2^4 = 16
Answer: 16
The sums of which two pairs from the table will give you the same result? For example, A + B = C + D.
Answer:
D + E = F + H
Step-by-step explanation:
We have to identify the two pairs from the give table which have the same result.
These pairs show the relation as A + B = C + D
We take a pair of expressions given in options (D) and (E)
By adding them,
D + E = (-4 + 9i) + (6 - 6i)
= 2 + 3i
Similarly we add the expressions given in options (F) and (H),
F + H = (-9 + 15i) + (11 - 12i)
= 2 + 3i
Therefore, D + E = F + H will be the answer.
What is the value of x?
Answer:
x = 54.6 m
Step-by-step explanation:
Δ MAB and Δ MNP are similar, then corresponding sides are in proportion, that is
[tex]\frac{MA}{MN}[/tex] = [tex]\frac{MB}{MP}[/tex] , substitute values
[tex]\frac{80.5-35}{80.5}[/tex] = [tex]\frac{x}{96.6}[/tex]
[tex]\frac{45.5}{80.5}[/tex] = [tex]\frac{x}{96.6}[/tex] ( cross- multiply )
80.5x = 4395.3 ( divide both sides by 80.5 )
x = 54.6
Answer:
Answer:
Answer:x = 25°
Answer:x = 25°Step-by-step explanation:
Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )
Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )
Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )
Answer:x = 25°Step-by-step explanation:The secant- secant angle FGE is one half the difference of the intercepted arcs, that is (135 - x) = 55 ( multiply both sides by 2 to clear the fraction )135 - x = 110 ( subtract 135 from both sides )- x = - 25 ( multiply both sides by - 1 )x = 25°
Hence the answer is 25.
6. Find an angle which is equal to its complement.
Answer:
x= 45
Step-by-step explanation:
Complementary angles equal 90 degrees
The angles are equal
x+x = 90
2x= 90
Divide by 2
2x/2 = 90/2
x= 45
Which is NOT a reasonable estimate?
A 683 + 431 = 1100
B 8236 X 387 = 3200
C 943 – 682 = 200
D 6247 + 312 = 20
upon receiving your first salary, you deposited 3000 taka monthly in a fund for your future for 18 years. the fund earns 6% interest rate compounded monthly. after 18 years, you want it to make payments at the end of every quarter for five year 4.5% compounded quarterly, what is the amount of each annuity payment to you?
The Annuity payment will be "65,209.35 Taka". A further solution is provided below.
Given:
Monthly payment,
= 3000 Taka
Interest rate,
= 6% (compounded monthly)
Time,
= 18 years
The Future value will be:
→ [tex]FV = PMT\times \frac{((1+r)^{nt}-1)}{r}[/tex]
By putting the values, we get
[tex]=3000\times \frac{((1+\frac{6}{12\times 100} )^{12\times 18}-1)}{\frac{6}{12\times 100} }[/tex]
[tex]=3000\times \frac{((1+\frac{6}{1200} )^{216}-1)}{\frac{6}{1200} }[/tex]
[tex]=1,162,059.58 \ Taka[/tex]
hence,
The Annuity payment will be:
→ [tex]P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-4\times 5}}[/tex]
[tex]=P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-20}}[/tex]
By substituting all the values, we get
[tex]=65,209.35 \ Taka[/tex]
Thus the correct answer is "65,209.35 Taka".
Learn more the Annuity payment here:
https://brainly.com/question/8462185
ANSWER QUICK !!
Yuri is participating in a tund-raiser at school. She will receive donations from 2 people. A cousin will donate $0.40 for every 1/8 mile that Yuri walks.
A friend will give Yuri a one-time donation of $30
What is the minimum number of miles Yuri needs to walk to raise at least $507 Enter the answer in the box,
507 - 30 = 477
477 / 0.4 = 1192.5
1192.4 / 8 = 149.0625 miles or 150 miles
i don't know if this is right cause the answer seems so absurd
what is the value of this expression when g= -3.5?
8-|2g-5|
a. 20
b. 10
c. 6
d. -4
Answer:
d. -4
Step-by-step explanation:
Let's plug in g
8 - |2(-3.5) - 5|
8 - |-7-5|
8 - |-12|
The absolute value is always positive of any number,
8 - 12
= -4
Answer:
D. -4
Step-by-step explanation:
We are given this expression:
[tex]8-|2g-5|[/tex]
and asked to evaluate when g= -3.5 Therefore, we must substitute -3.5 in for g.
[tex]8-|2(-3.5)-5|[/tex]
First, multiply 2 and -3.5
2 * -3.5 = -7
[tex]8-|-7-5|[/tex]
Next, subtract 5 from -7.
-7-5= -12
[tex]8-|-12|[/tex]
Next, evaluate the absolute value of -12. The absolute value is how far away a number is from 0, and it is always positive. The absolute value of -12 is 12.
[tex]8-12[/tex]
Subtract 12 from 8.
[tex]-4[/tex]
The value of the expression is -4 and D is the correct answer.
Please help me on this question
Answer:
you need to add 11 red circles
Step-by-step explanation:
1:3 one red and three blues
r=12 b=3
r:b =12:3
12:3 is the same as 4:1
you have to add 11 red circles
ANSWER QUICKLY PLZZZZZZ
ANSWER QUESTION B
Answer:
16
Step-by-step explanation:
We know that: 5 + ? = 10.5
we now need to solve for ? , by using the inverse method
10.5 x 2 = 21
21 - 5 = 16
Now to double check the answer, we substitute the ? with the answer
so, 5 + 16 = 21
21/2 = 10.5 so it is clearly correct
I HOPE THIS HELPED :)
A box has a base of 12 inches by 12 inches and a height of 30 inches. What is the length of the interior diagonal of the box? Round to the nearest hundredth.
This is a problem using the Pythagorean theorem.
The square of the length required is 122 + 122 + 302 = 1188
The length is the square root of this number; I will leave it to you to extract the square root.
Answer:
34.47
Step-by-step explanation:
6
PO
2. In school of 900 studonts, it was
found that 600 students participate
in singing 500 students
in dancing and 125
do not participate
in both the activities.
participate
Answer:
[tex]B = 325[/tex]
Step-by-step explanation:
Given
Total = 900
Singing = 600
Dancing = 500
None = 125
Required
Determine the number of students that participate in both
Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;
In Set Notation;
[tex]Total = (S - B) + (D - B) + N + B[/tex]
Substitute 900 for Total, 600 for S, 500 for D and 125 for N
[tex]900 = (600 - B) + (500 - B) + 125[/tex]
Open Brackets
[tex]900 = 600 - B + 500 - B + 125 + B[/tex]
Collect Like Terms
[tex]900 = 600 + 500 + 125 - B - B + B[/tex]
[tex]900 = 1225- B - B + B[/tex]
[tex]900 = 1225- B[/tex]
Collect Like Terms
[tex]900 - 1225 = -B[/tex]
[tex]-325 = -B[/tex]
Multiply both sides by -1
[tex]-1 * -325 = -B * -1[/tex]
[tex]325 = B[/tex]
Reorder
[tex]B = 325[/tex]
Hence, the number of students that do not participate in both is 325
PLZ ANSWER THIS QUESTION..Plzz
Answer:
x = 2 units
Step-by-step explanation:
Diagonals of rectangle are congruent and bisect each other
Therefore, OB = OA
5x + 4 = 3x + 8
5x = 3x + 8 -4
5x = 3x + 4
5x - 3x = 4
2x = 4
x = 4/2
x =2
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option C, 93.6 mi³
Step-by-step explanation:
Volume of the triangular prism,
(8×3.9/2)×6
= 93.6 mi³
find the surface area of each figure. Round to the nearest tenth if necessary.
Answer: 318 km²
Let's find the areas of the triangles
Formula: base x height / 2
9 x 6 = 54
54/2 = 27
Multiply by 2 since there are two triangles (I know, we already got the areas from 9 x 6)
27 x 2 = 54
Now let's try to find the areas of all the rectangular sides
Formula: length x width
9 x 11 = 99
8 x 11 = 88
7 x 11 = 77
99 + 88 + 77 = 264
Add up all the areas
264 + 54 = 318
DESPERATLY NEED HELP PLEASE HELP MEEE IF YOU CAN!!!!!!
Determine if the triangles are congruent. If they are, give the rule that you used to determine congruence
please show how you got it so I can see if the answer makes sense!!!!
Answer:
No
Step-by-step explanation:
In ΔABC, we see that the line that shows congruent is on a side with a right angle, but in ΔDEF we see that the congruent line is on the opposite side of the right triangle.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
-(-9d + 2.7f + 3.5)
Distributing the “-“ sign
Answer:
9d + -2.7f + -3.5
Step-by-step explanation:
The distributive property simply is a form of multiplication that allows the sum of two or more numbers with common multiples to be rewritten.
In the case of this expression, our common multiple is the negative sign which implies an understood -1.
So you can write the expression as such:
(-1) (-9d + 2.7f + 3.5)
So to distribute the -1 to each term, we will simply write the expression:
(-1)(-9d) + (-1)(2.7f) + (-1)(3.5)
Which will give us the distributed expression:
9d + -2.7f + -3.5
Cheers.
Can you write a summation notation of a series that is neither arithmetic nor geometric?
Answer:
Yes, we can.
Step-by-step explanation:
Hello, I found this one.
[tex]\displaystyle \sum_{n=0}^{\infty} \dfrac{1}{n!}[/tex]
We can prove that it exists and it is equal to e.
But this is nor arithmetic nor geometric.
Thank you
in a class ,ratio of the number of girls to boys is13:7 , find the percentage of boy
Which expression is equivalent to
X^4
Jdnzusjdnekdjdnkdkelef
piz help me!!!!
[tex]look \: at \: pic \: piz[/tex]
What is the surface area of a cylinder with base radius 4 and height 7?
Answer:
To find the surface area of a cylinder you need a specific formula.
The formula to finding the surface area is
[tex]A=2\pi rh+2\pi r^2[/tex]
2 x pi x 7 + 2 x pi x 4 squared
144.513262065 would be the specific answer.
Fill in the blank with a number to make the expression a perfect square.
u^2+8u+?
Answer:
16
Step-by-step explanation:
Hello, do you remember that result?
For any a and b real numbers,
[tex](a+b)^2=a+2\cdot a \cdot b+b^2[/tex]
In this example, we have.
[tex]u^2+8u=u^2+2\cdot 4 \cdot u\\\\\text{ This is the beginning of ... } u^2+8u+4^2=u^2+8u+16\\\\\text{ So, we need to add 16 to make a perfect square}\\\\u^2+8u+\boxed{16}=u^2+2\cdot 4\cdot u +4^2=(u+4)^2[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you