Answer:
x would be 54 degrees
Step-by-step explanation:
Since x lies on a straight line, and it gives you the other angle (126) just subtract 180 and 126.
180 - 126 = 54
Given that f (x) = x help me plz
Answer:
Step-by-step explanation:
f(x) + g(x) = x^2 - 2x + x + 12
f(x) + g(x) = x^2 - x + 12
(f + g)( -1) = 1 + 1 + 12 = 14
f(x) - g(x) = x^2 - 2x - x - 12
f(x) - g(x) = x^2 - 3x - 12
(f + g)(-1) = (-1)^2 -(3)(-1) -12
(f + g)(-1) = 1 + 3 - 12
(f + g)(-1) = - 8
Previous balance: $1,221.35; payment: $300; new purchases: $25.90 and$18.53; periodic rate: 1.75%
Answer:
1478.67
Step-by-step explanation:
Find the equation of the linear function represented by the table below in slope-
intercept form.
х
у
1
8
2
12
3
16
4
20
Answer:
y = 4x+4
Step-by-step explanation:
Using the coordinate point (1, 8) and (2, 12) from the table
Slope m = 12-8/2-1
m = 4/1
m = 4
Get the intercept
Substitute m = 4 and (1, 8) into y = mx+c
8 = 4(1) + c
8 - 4 = c
c = 4
Get the required equation
y = 4x + 4
Hence the required linear equation is y = 4x+4
I need help. What is an example of data where the Empirical Rule applies?
Answer:
Each animal lives to be 13.1 years old on average (mean), and the standard deviation of the lifespan is 1.5 years. If someone wants to know the probability that an animal will live longer than 14.6 years, they could use the empirical rule.
-x+5y=8 3x+7y=-3 find the equation
Answer:
The solution to the system of equations be:
[tex]x=-\frac{71}{22},\:y=\frac{21}{22}[/tex]
Step-by-step explanation:
Given the system of equation
[tex]\begin{bmatrix}-x+5y=8\\ 3x+7y=-3\end{bmatrix}[/tex]
Multiply -x+5y=8 by 3: -3x+15y=24
[tex]\begin{bmatrix}-3x+15y=24\\ 3x+7y=-3\end{bmatrix}[/tex]
Add the equations
[tex]3x+7y=-3[/tex]
[tex]+[/tex]
[tex]\underline{-3x+15y=24}[/tex]
[tex]22y=21[/tex]
solving 22y=21 for y
[tex]22y=21[/tex]
Divide both sides by 22
[tex]\frac{22y}{22}=\frac{21}{22}[/tex]
Simplify
[tex]y=\frac{21}{22}[/tex]
For -3x+15y=24 plug in y = 21/22
[tex]-3x+15\cdot \frac{21}{22}=24[/tex]
Subtract 15 · 21/22 from both sides
[tex]-3x+15\cdot \frac{21}{22}-15\cdot \frac{21}{22}=24-15\cdot \frac{21}{22}[/tex]
[tex]-3x=\frac{213}{22}[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}=\frac{\frac{213}{22}}{-3}[/tex]
[tex]x=-\frac{71}{22}[/tex]
The solution to the system of equations be:
[tex]x=-\frac{71}{22},\:y=\frac{21}{22}[/tex]
Anthony borrowed $18,800 at 6% simple interest for 4 months. Determine the amount of interest.
If $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals, how much interest is earned after 15 years?
Answer:
The amount is $3372.13 and the interest is $872.13
Step-by-step explanation:
Interest is the monetary charge for the privilege of borrowing money.If $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals,
then 864.671 is the interest earned after 15 years.
What is Interest?Interest is the monetary charge for the privilege of borrowing money.
Given that $2,500 is deposited into a new account that earns 2% interest compounded quarterly and there are no other deposits or withdrawals, We need to find how much interest is earned after 15 years.
After 15 years,
Amount=2500×(1+2%)^15
=3364.671
The formula for interest is given below,
Interest=Amount-Capital
=3364.671-2500
=864.671
Hence 864.671 is the interest earned after 15 years for $2,500 is deposited with 2% interest compounded quarterly and there are no other deposits or withdrawals.
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use the rule to write the first five terms of the pattern: Rule: add 8, subtract 4 First term: 13
Answer:
17
Step-by-step explanation:
13 + 8 - 4
Answer:
{13, 17, 21, 25, 29}
Step-by-step explanation:
Add 8 and subtract 4 is equivalent to Add 4.
If the first term is 13, the next is 17;
the second term is 21; and
the third term is 25.
determine whether a triangle with these side lengths would be acute, right, or obtuse: 5, 7, and 10;
Answer:
obtuse
Step-by-step explanation:
Let 5 = a, 7 = b, 10 = c
if a^2 + b^2 = c^2, then the triangle is a right triangle by the converse of the Pythagorean Theorem
If a^2 + b^2 > c^2, then the triangle is an acute triangle by Theorem 8-4
if a^2 + b^2 < c^2, then the triangle is an obtuse triangle by Theorem 8-3
a^2 = 25
b^2 = 49
c^2 = 100
25 + 49 < 100, therefore the triangle is an obtuse
Find the midpoint of the segment with the following endpoints
(9.9) and (1.-1)
Answer:
(5,4)
Step-by-step explanation:
To find midpoint you just find out how far apart the points are and divide it by half. For example our x values are 9 and 1. 9 and 1 are 8 points away. Half of 8 is four so 9-4 is 5. Remember midpoint is the MIDDLE.
A pool of possible jurors consists of 15 men and 14 women. How many different juries consisting of 5 men and 7 women are possible?
Answer:
6
Step-by-step explanation:
Um so what I did was 15/5=3 and 14/7+2
So for the first group of men, 2 groups. TIMES 3.
Equals 6 options
Quince menos que un numero
Answer:
14 xd xd xd
Step-by-step explanation:
xd xd xd
Answer:
fifteen less than a number.
A student ask the question, "what is a plant?" this is NOT a testable question because. SCIENCE
Humpty Dumpty sat on a wall, admiring his new digital watch which displayed hours
15:21
and minutes only. He noticed that it was when Jack and Jill set up the hill, but that
when they later came tumbling down again his watch showed only 10:51. At that point
Humpty realised that he'd had his watch on upside down all the time! How long did Jack
and Jill take to go up the hill and down again?
hours
Dand
minutes
Answer:
The time was actually showing 15:01 so it takes them 20 minutes i think?
What is 5/10 = x/100
Answer:
= 50
Step-by-step explanation:
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 246.8 and a standard deviation of 67.2. (All units are 1000 cells/μL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 179.6 and 314.0? b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4?
Answer:
a. 68%
b. 99.7%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 246.8
Standard deviation = 67.2
a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 179.6 and 314.0?
By the Empirical Rule, approximately 68%.
b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4?
45.2 = 246.8 - 3*67.2
448.4 = 246.8 + 3*67.2
Within 3 standard deviations of the mean, so approximately 99.7%.
If lia has 1,00000$ and she spend 2,000 on her nails and feet to get done then.She buys new chanel shoes that cost 1,000 and then buys 400$ worth of clothes how much money will be left? Pls help
Answer:she will have 96,600
Step-by-step explanation:
Hope this helps
What is the velocity of a car that’s traveled 306 kilometers northeast in 3.4 hours
Answer : -302.6
Step-by-step explanation:
Factor to write an equivalent expression for -9x+15y
Answer:
Step-by-step explanation:
-9x +15y = 3(-3x +5y) = -3(3x - 5y)
The required equivalent expression for the given expression -9x + 15y is 3(-3x + 5y).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The given expression is given as follows:
-9x + 15y
It is required to find the factorization of the given expression.
As per the question, we have
-9x + 15y
To factor -9x + 15y, we can first factor out the greatest common factor (GCF) of -9 and 15, which is 3:
-9x + 15y = 3(-3x + 5y)
Therefore, the equivalent expression for -9x + 15y is 3(-3x + 5y).
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which one is the answer
Answer:
Two
Step-by-step explanation:
the product of 9, and a number increased by 7, is 144. what is the number?
Answer:
somehow i got 0.7345
Step-by-step explanation:
A line passes through the point (8,-8) and has a slope of 3/4. Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
y + 8 = 3/4(x - 8)
y + 8 = 3/4x - 6
y = 3/4x - 14
The adjacent sides of a rectangle are -6p3+ 7p2q2+ pq and 7pq –5p3+ 9p2q2. Find its perimeter.
Answer:
its 938q2, your welcome!!!
Step-by-step explanation:
Simplify the following expression completely: v^13*v^14
____________________________
1.) Multiply:[tex]13+14=27[/tex]- When multiplying powers of the same base, all you have to do is add the exponents to multiply them.
So your answer is [tex]\bold{v^{27}}[/tex].
____________________________
36
Which of the following points would fall on the line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed?
(5, 4)
(9, 4)
(2, 9)
(4, 8)
Answer:
9,4
Step-by-step explanation:
Solve the right triangle round your answer to the nearest tenth
Answer/Step-by-step explanation:
✔️A = 180° - (50° + 90°) (sum of triangle)
A = 40°
✔️Find a:
Reference angle = 50°
Opposite = 17
Adjacent = a
Therefore, using trigonometric ratio, we have the following:
Tan 50 = 17/a
a = 17/tan 50
a = 14.3 (nearest tenth)
✔️Find c using Pythagorean Theorem:
c² = a² + b²
c² = 14.3² + 17²
c = √493.49
c = 22.2 (nearest tenth)
50 PTS
Simplify Please
Answer:
a) 1 2/9 or 11/9
b) 37.6
c) 37
Step-by-step explanation:
The diagram shows a logo
Answer/Step-by-step explanation:
✔️Find EC using Cosine Rule:
EC² = DC² + DE² - 2*DC*DE*cos(D)
EC² = 27² + 14² - 2*27*14*cos(32)
EC² = 925 - 756*cos(32)
EC² = 283.875639
EC = √283.875639
EC = 16.85 cm
✔️Find the area of ∆DCE:
Area = ½*14*27*sin(32)
Area of ∆DCE = 100.15 cm²
✔️Since ∆DCE and ∆ABE are congruent, therefore,
Area of ∆ABE = 100.15 cm²
✔️Find the area of the sector:
Area of sector = 105/360*π*16.85²
Area = 260.16 cm² (nearest tenth)
✔️Therefore,
Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)
Daniel wants to buy a used car to get back and forth to work
Answer:
thats good on daniel it will save him time.
Answer:
Yea it will save him time
Step-by-step explanation:
There's no question so...
Identify the pairs of corresponding angles and corresponding sides. It may help to rotate the shapes so they are facing the same direction.