Given that n is a positive number, write, in a symbolic statement, ‘the square of a positive number decreased by 10 is 6’
Answer:
n² -10 = 6
Step-by-step explanation:
If n represents a positive number, then "the square of a positive number" is represented by n². When that value is decreased by 10, it becomes ...
n² -10
and if that value is 6, the math expression is ...
n² -10 = 6
__
Additional comment
Increasing the value by 10 gives ...
n² = 16
and taking the positive square root gives us the value of the number:
n = √16 = 4
in this question we have to multiply 4 with 4 then we have to minus 16 with 10 we get the answer 6
so, first we have to multiply the 4 with 4= 4 × 4 = 16
then, we have to minus 16 with 10 we get :-= 16 - 10
we get :-= 6
in this question we have get 16 because √16 is the square root of 4one shirt and one pair of pants costs $50.00. three shirts and 2 pairs of pants cost $120. how much is a shirt?
one shirt is for $25 so multiple that by 3 and get $75
Match each complex number with its equivalent expression.
i
-1
1
-i
i^48
i^223
i^113
i^82
Remember that i = √(-1), so that
• i ² = -1,
• i ³ = i x i ² = i x (-1) = -i
• i ⁴ = i x i ³ = i x (-i) = -i ² = -(-1) = 1
Multiplying by i again gives i ⁵ = i and the cycle starts over.
The main observation to make here is that raising i to any multiple of 4 returns 1. So,
i ⁴⁸ = (i ⁴)¹² = 1¹² = 1
i ²²³ = i ²²⁰⁺³ = i ²²⁰ x i ³ = (i ⁴)⁵⁵ x i ³ = 1⁵⁵ x (-i) = -i
i ¹¹³ = i ¹¹²⁺¹ = i ¹¹² x i = (i ⁴)²⁸ x i = 1²⁸ x i = i
i ⁸² = i ⁸⁰⁺² = i ⁸⁰ x i ² = (i ⁴)²⁰ x i ² = 1²⁰ x (-1) = -1
i^48 = 1
i^223 = -i
i^113 = i
i^82 = -1
Evaluate f (x) = 3x – 5 when x = -1, x = 0, and x = 3.
When x = -1, f (x) = –2 , when r = 0, f (x) = -5), and when x = 3, f (x) = 4).
f(x) = 3x − 5 when x=−1, x=0, x=3
Answer:
-8, -2, 4
Step-by-step explanation:
1. Insert -1, 0, and 3 into x
2. Solve
Replace x with -1: f(-1) = 3(-1) − 5
Multiply 3(-1): f(-1) = -3 − 5
Subtract by 5: f(-1) = -8
The answer is -8
Now do this for the rest of the problems:
f(0) = 3(0) − 5 when x=−1, x=0, and x=3
-2 is the 2nd answer
f(3) = 3(3) − 5 when x=−1, x=0, and x=3
4 is the 3rd answer
This is my first answer, so I hope I explained it well!
Pls help: √5 multiplied by √245
I believe it is 35!
I hope this helps you, and don't forget to give this answer brainliest if it really helped!
Sam is putting money into a checking account. Let represent the total amount of money in the account (in dollars). Let represent the number of weeks Sam has been adding money. Suppose that and are related by the equation .
Answer:
-2
Step-by-step explanation:
(8) fx=x2-2x-2
8(2)-2(8)-2
16-16-2
-2
Can anyone help I would really appreciate it I’m failing everything and need a boost
Answer:
2,870 and 30
Step-by-step explanation:
Find the measure of the missing angle.
Answer:
36 degrees
Step-by-step explanation:
The whole shape is 90 degrees.
90 - 54 = 36
36 degrees
Answer:
36*
Step-by-step explanation:
a right angle is 90* and so you do
90-54=36
meaning your missing angle is 36*
Help help math math ASAP ASAP
Answer:
[tex]\displaystyle y = 4x + 12[/tex]
Step-by-step explanation:
−4x + y = 12
+ 4x + 4x
_________
[tex]\displaystyle \boxed{y = 4x + 12}[/tex]
I am joyous to assist you at any time.
graph the linear function w(x) =3/5x+2
Answer:
Use Desmos.com. It is a site that can graph basically anything you want.
Step-by-step explanation:
Find the value of xxx, yyy, and zzz in the parallelogram below.
Answer:
x = 67; y = 121; z = 65
Step-by-step explanation:
x + 1 + 112 = 180
x + 113 = 180
x = 67
y - 9 = 112
y = 121
z + 3 + 112 = 180
z + 115 = 180
z = 65
Equation - 120n-150=45n
Answer:
1.) 75
2.) 75
3.) 2
Step-by-step explanation:
120n-150=45n
add 150 to both sides
120n=45n+150
subtract 45n from both sides
75n=150
divide by common number, since 75 is half of 150, use 75.
n=2
Find the area of the triangle below.
Carry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth.
The area of the triangle is the amount of space on it.
The area of the triangle is 85.5 square yard
How to determine the area of the triangle?The given parameters are:
a = 12 yd
b = 16 yd
c = 15 yd
Start by calculating the semi-perimeter (s)
s = 0.5 * (a + b + c)
This gives
s = 0.5 * (12 + 16 + 15)
s = 21.5
The area of the triangle is then calculated as:
[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]
This gives
[tex]A = \sqrt{21.5 * (21.5 - 12) * (21.5 - 16) * (21.5 - 15)[/tex]
Evaluate the product
[tex]A = \sqrt{7301.9375[/tex]
Evaluate the square root
A = 85.5
Hence, the area of the triangle is 85.5 square yard
Read more about areas at:
https://brainly.com/question/24487155
3x + 7 = 23 - 5x
I need sum help plz!!
Answer:
x=2
Hope this helps! :)
3x+5x=8x
23-7=16
16÷8
Answer:
x = 2
Step-by-step explanation:
3x + 7 = 23 - 5x
3x + 5x = 23 - 7
8x = 16
x = 2
Two more than three times a number is 65. Find the number.
The number is
Help pls i will give brainliest for correct answer
Answer:
x = 0
I hope this helps!
Solve the system.
y = -6x - 14
2)
5x - 3y = 19
Answer:
x=-1
Step-by-step explanation:
how would you find the equation if each copy of a book costs 18$ and shipping is 9$ per order
Answer:
18x + 9
Step-by-step explanation:
Math homework
Feet=9yards
Answer:
27 feet
Step-by-step explanation:
We know that 3 feet = 1 yard. So, multiply 9 by 3 and you get 27 feet. Hope this helps!
PLEASE HELP PLEASE!!
A circular garden has a diameter of 4 m. What is the area of the garden? Use 3.14 for TT.
Naomi's fish is 40 millimeters long. Her guinea pig is 25 centimeters long. How much longer is he guinea pig than her fish.
Answer:
The guinea pig is 210 millimeters longer than the fish.
Step-by-step explanation:
help fastttt!!!!! brainliest to first
Answer:
i believe it's actually the fourth option: lines e and f are parallel bc their same side exterior angles are supplementary
Step-by-step explanation:
its part of a theorem you learn, don't remember exactly (haven't taken geo in like 2 years lol)
Answer:
i believe it shud be c
Step-by-step explanation: it really doesn't proof that for a and be the corresponding angles are congruent..
Hope this is correct!!
The overall pass rate for law school graduates taking the Maryland bar exam has been reported as 76%. Assume that a certain Maryland law school has had 400 of its most recent graduates take the Maryland bar exam, but only 60% passed. When asked about these results, the dean of this university’s law school claims his graduates are just as good as others who have taken the Maryland bar exam, and the low pass rate for the recent graduates was just "one of those statistical fluctuations that happen all the time." If this university’s overall pass rate were really 76%, what would be the probability of a simple random sample of 400 having a pass rate of 60% or less
Answer:
The probability is [tex]P(X \le 0.60) = 0.000 [/tex]
Step-by-step explanation:
From the question we are told that
The overall pass rate is [tex]R = 76\% = 0.76[/tex]
The sample size is n = 400
The percentage that passed is [tex]k = 60\% = 0.60[/tex]
Generally the standard error is mathematically represented as
[tex]\sigma _{\= x } = \sqrt{\frac{R (1 -R)}{n} }[/tex]
=> [tex]\sigma _{\= x } = \sqrt{\frac{0.76 (1 -0.76)}{400} }[/tex]
=> [tex]\sigma _{\= x } = 0.0214 [/tex]
Generally the probability of a simple random sample of 400 having a pass rate of 60% or less is mathematically represented as
[tex]P(X \le 0.60) = P(\frac{X - R}{ \sigma_{\= x}} \le \frac{0.60 - 0.76}{0.0214} )[/tex]
=> [tex]P(X \le 0.60) = P(Z \le -7.48 )[/tex]
Generally from the z-table
[tex]P(Z \le -7.48 ) = 0.000[/tex]
So
[tex]P(X \le 0.60) = 0.000 [/tex]
I need help with this pls
Answer:
Step-by-step explanation:
1) Parallelogram ABCD, E is the midpoint of [tex]\overline{DC}[/tex], F is the midpoint of [tex]\overline{AB}[/tex] (given)
2) [tex]DE=\frac{1}{2}DC, BF=\frac{1}{2}AB[/tex] (When a segment is bisected, each part is half the length of the whole segment)
3) [tex]\overline{DC} \cong \overline{AB}[/tex] (opposite sides of a parallelogram are congruent)
4) [tex]DC=AB[/tex] (congruent segments have equal measure)
5) [tex]DE=BF[/tex] (substitution)
6) [tex]\overline{DE} \cong \overline{BF}[/tex] (segments with equal measure are congruent)
7) [tex]\angle D \cong \angle B[/tex] (opposite angles of a parallelogram are congruent)
8) [tex]\overline{AD} \cong \overline{BC}[/tex] (opposite sides of a parallelogram are congruent)
9) [tex]\triangle ADE \cong \triangle CBF[/tex] (SAS)
10) [tex]\overline{AE} \cong \overline{CF}[/tex] (CPCTC)
Solve. . m - 15 - 20 m =
After changing its format, a radio station lost 34% of its listeners. If there were an estimated 83,000 listeners originally, how many listeners does the radio station have now
Answer the following question below
Answer:
11/6
Step-by-step explanation:
2x/3 = 1/2
Cross multiply, get 4x = 3, x = 3/4
3y/4 = 3/2
Cross multiply, get 6y = 12, y = 2
x + y = 3/4 + 2 = 11/4
xy = 3/4 * 2 = 3/2
(x + y)/(xy) = (11/4)/(3/2) = 11/4 * 2/3 = 22/12 = 11/6
GIVING BRAINLIEST
Madeline bought a hybrid car that averages 46 miles per gallon. How much gas will she need for a 350-mile trip? Select the equation and the solution (2 answers).
Group of answer choices
350 x 46 = n
46n = 350
approximately 7.61 gallons
approximately 8.75 gallons
Answer:
7.61 gallons.
Step-by-step explanation:
you take the 46, and you divide on both sides. 350÷46= approximately 7.61 gallons.
Solve this equation
(3m⁴)²
Answer:
9m⁸
Step-by-step explanation:
3^2=9
(m⁴)² = m⁸
9*m⁸
what is the answer to this system of equations pls also include explanation
-2x+5y = 75
x+5y = 45
Answer:
x=-10
Step-by-step explanation:
I explained the answer to your question in the photo