Answer:
The unknown number is -5
Step-by-step explanation:
Let n represent the unknown number then...
3n=-15
Divide both sides by 3
(3n)/(3)=(-15)/(3)
n=-5
The electricity to run a water heater for 1 week costs $15.40. How much does it cost to run the water heater for 365 days?
Answer:
800
Step-by-step explanation:
52 weeks in a year then multiply 15.40
Answer:
$803
Step-by-step explanation:
cost of electricity for 1 week = 15.40
⇒ cost of electricity for 1 day = 15.40 ÷ 7 = 2.20
⇒ cost of electricity for 365 days = 2.20 x 365 = 803
ABCD is a Trapezium, Work out the size of angle CDA to one decimal place
Answer:
CDA≈27,6°
Step-by-step explanation:
First we solve the x using pythagorean theorem
a^2+b^2=c^2
x^2+6^2=6.5^2
x^2+36=42.25 ||-36
x^2=42.25-36
x^2=6.25 ||√
√x^2=√6.25
x=2.5cm
now we can solve y
y = 23cm-9cm-2.5cm
y=11.5cm
now we can solve CDA angle with tanα
tanα=[tex]\frac{a}{b} \\[/tex]
tanα=6cm/11.5cm
α≈27,6°
how do you solve f-3/4=5/6?
Answer:
f =38
Step-by-step explanation:
f-3/4=5/6
f-3×6=5×4
f-18 =20
f =20+18
f =38
Write a formula for the perimeter (p) of a square whose sides are s units long
Answer:
Perimeter = 4s
Step-by-step explanation:
The perimeter of a square = 4*length
Given that length = s
Perimeter = 4s
-Chetan K
What does this symbol mean in mathematics?
Answer:
Looks like (pi)= 22/7
Step-by-step explanation:
Answer:
I believe it is pi, as in 3.14 pi. (The handwriting is so confusing)
Step-by-step explanation:
Pi typically looks like a cursive "r" or a bench of some sort, so I believe this is the pi symbol. Hope that helps :)
there are 10 boy and 10 girl in a group, 2 boys are to selected and 2 girl are to selected for the play, how many ways can they selected.
Answer:
400 ways
Step-by-step explanation:
Times 10 x 10 x 2 x 2 to get your answer
1.] (3x³) (x⁴)
2.] (3) (4³)
3.] (x²y)³
4.] (6x⁷) / (2x⁴)
5.] 9x
HELP PLSS NEED ASAP
Answer:
1. 3x^7
2. 192
3. x^6y^3
4. 3x^3
5. 3^2x
Step-by-step explanation:
Answer:
1. 3x⁷
2. 192
3. x⁶y³
4. 12x¹¹
5. 3²x
PLEASE HELP ME I REALLY NEED IT
What is the solution to log7(x – 4) = log7(4x 5) ?.
The solution of the logarithmic equation provided using the log rule is,
[tex]x=-3[/tex]
What is the log rule for same base?When the base of the logarithm in an equality expression is same, then the number are directly compared to each other.
The given logarithmic equation in the problem is,
[tex]\log_7(x -4) = \log_7(4x +5)\\[/tex]
Compare the number for the same base as,
[tex](x-4)=(4x+5)[/tex]
Solve the equation further as,
[tex]4x-x=-4-5\\3x=-9\\x=\dfrac{-9}{3}\\x=-3[/tex]
Thus, the solution of the logarithmic equation provided using the log rule is,
[tex]x=-3[/tex]
Learn more about the rules of logarithmic function here;
https://brainly.com/question/13473114
Answer:
no solution
Step-by-step explanation:
3^x/3^y = 81
What is x - y?
Answer:
x - y = 4
Explanation:
I hope it's correct
answer:
x - y = 4
explanation:
[tex]\rightarrow \boxed{\frac{3^x}{3^y} = 81}[/tex]
[tex]\rightarrow \boxed{3^{x-y} = 81}}[/tex]
[tex]\rightarrow \boxed{3^{x-y} = 3^4}}[/tex]
[tex]\rightarrow \boxed{x-y = 4}[/tex]
Someone please help me
Answer:
17 1/4mph
Step-by-step explanation:
As you can see, Sarah rides her bike 5 3/4 in 1/3 hours. All you need to do is multiply 5 and 3/4 by 3 since it's thirds. 5x3=15. 3/4x3=9/4. 9/4= 2 1/4. 15+2 1/4= 17 1/4mph.
In a right isosceles triangle, the lengths of both legs are equal. For the given isosceles triangle, what is the value of x?
well, we know the triangle besides being an isosceles, is also a right-triangle, so let's use the pythagorean theorem.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{\sqrt{72}}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{x}\\ \end{cases}\implies (\sqrt{72})^2=x^2+x^2 \\\\\\ 72=2x^2\implies \cfrac{72}{2}=x^2\implies 36=x^2\implies \sqrt{36}=x\implies 6=x[/tex]
Answer:
x = 6
Step-by-step explanation:
sine law
a/ sin a = x / sin x
(72)^1/2 / sin 45º = x / sin 90
6 = x/1
multiply each side by 1
6 = x
PLS HELP MARKING BRAINLEIST JUST BE QUICK
Answer:
19w + 3
Explanation:
perimeter: length measure of all sides
perimeter for this shape:
→ 4w + 4 + 6w + 5 + 7w + 3 + 2w - 9
group terms like this ↓
→ 4w + 6w + 7w + 2w + 4 + 5 + 3 -9
add basic numbers ↓
→ 4w +6w +7w +2w +3
final answer ↓
→ 19w + 3
Perimeter is the sum of all the sides.
2w-9 + 4w + 4 + 6w + 5 + 7w + 3
Combine like terms:
19w + 3
Which quadratic function contains the points (1, −6 ), (−2, 15) , (3, 30)?
a) f(x) = 2x^2 − 9x + 5
b) f(x) = 5x^2 − 9x − 2
c) f(x) = 9x^2 − 2x − 5
d) f(x) = 5x^2 − 2x − 9
Answer:
d) f(x) = 5x^2 − 2x − 9Step-by-step explanation:
Verify by graphing.
All three given points (1, −6 ), (−2, 15) , (3, 30) appear on the last function's graph.
f(x) = 5x^2 − 2x − 9HELP pleaseeeee NOWWWW
A vector v has initial point (-3,-2) and terminal point (-6,1). Write v in component form
Answer:
Step-by-step explanation:
Caleb started with 50 bacteria for his science experiment and they doubled in one day. Jenna also started with 50 bacteria for her experiment and after one day, her number of bacteria was equal to 50 to the second power. Choose the statement that is true for the number of bacteria after one day.
Use the graph to find the
a y-intercept
b. the slope of the line
С.
write the equation of this line
Graph: f(x)= (x+1)(x – 5)
Answer:
f(x)=(x+1)(x-5)
=x+1=x-5
=1+5=x-x
=6
Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the sum and the degree of the difference of the polynomials?.
Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.
What is degree of a polynomial?Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).
Thus, in [tex]x^3 + 3x^2 + 5[/tex], the degree of the polynomial is 3 as the highest power in its terms is 3.
(power and exponent are same thing)
What are like terms?Those terms which have same variables raised with same powers.
For example, [tex]x^3[/tex] and [tex]3x^3[/tex] are like terms since variable is same, and it is raised to same power 3.
For example [tex]4x^2[/tex] and [tex]x^3[/tex] are not like terms as the variables are same but powers aren't same.
The given polynomials are:
[tex]c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10[/tex]
Their sum is
[tex]c(x) + p(x) = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11[/tex]
(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )
The sum's degree is 7
Their difference is:
[tex]c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5 +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9[/tex]
Difference's degree is 5
Thus, both's degrees are not same.
Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.
Learn more about subtraction of polynomials here:
https://brainly.com/question/9351663
Who ever gets it I will give Brainly and 20 points
Answer:
total number of marbles = 10
number of red marbles = 4
p(blue) = 3/10
number of blue marbles = 3
p(red) = 2/5
Find on how equivilant fraction the. Write an equivalant expressions for 5 over 15
Line segments A prime B prime and A B. The distance from the center of dilation P to A prime is 3. The distance from P to A is 5.
1/2
3/5
1 2/3
2
HURRY I HAVE !0 MINS LEFT
Determine if the statement is true or false.
66 = 7 (mod 12)
Answer:
false
Step-by-step explanation:
66 mod 12
quotient 5
reminder 6
true statement
66 = 6 (mod 12)
b) For V = Pi r squared , find V when r = 12.5 and h = 8
World War I, often abbreviated as WWI or WW1, also known as the First World War or the Great War, was an international conflict that began on 28 July 1914 and ended on 11 November 1918
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 red?
Answer:
5/9Step-by-step explanation:
There are 4 blue, 5 red and total of 9 marbles.
If two marbles are taken and we are looking for exactly one red, then it is:
red, then blue or blue, then redFind the probability of each case:
P(r, b) = 5/9*4/8 = 5/18P(b, r) = 4/9*5/8 = 5/18Probability of exactly one red:
P = 5/18*2 = 5/9A nature center charges $35.25
for a yearly membership and $6.25 for a single
admission. Last
veek it sold a combined total of 50 yearly memberships and single
admissions for $660.50. How many memberships and how many single admissions
were sold?
Answer: 12 yearly admissions and 38 single admissions
Step-by-step explanation:
Let x be yearly membership
Let y be single admission
x+y=50 --> # of tickets sold
35.25x+6.25y=660.50 --> $ of tickets
Use elimination method to solve (multiply equation 1 by -3525 and equation 2 by 100)
-3525x-3525y=-176250
+ 3525+625y=66050
-----------------------------------
-2900y=-110200
y=38
Substitute y=38 into equation 1
x+38=50
x=12
Therefore, 12 yearly admissions and 38 single admissions were sold
a method to solving a system of equations using the coordinate and
Answer:
Systems by Graphing
Step-by-step explanation:
Select all that are equal to 64(6-5)
Answer:
the middle 3
Step-by-step explanation:
6^(4-5)
6^(-1)
so three are equal to this
1/6
6^-1
and
1/6^1
im on the seacond part 2 more to go lol
Answer:
p = 4
Step-by-step explanation:
3p + 8 = 20
3p = 20 - 8
3p = 12
p = 12/3
p = 4
Answer:
see below
Step-by-step explanation:
2p + 8 = 20 - p
add p to both sides
2p + p + 8 = 20 - p + p
combine like terms
3p + 8 = 20
subtract 8 from both sides
3p + 8 - 8 = 20 - 8
combine like terms
3p = 12
divide both sides by 3
3p / 3 = p
12/3 = 4
we're left with p = 4
Juan's bag of apples weighed 31/7 pounds. Ari's bag of oranges weighed 19/3 pounds . Using compatible fractions estimate how muchh heavier Ari's bag is compared to Juan's bag?
Rewrite the fractions to have a common denominator:
Juan: 31/7 x 3 = 93/21
Ari: 19/3 x 7 = 133/21
now you can subtract:
133/21 - 93/21 = 40/21 pounds = 1 and 19/21 pounds heavier