Answer:
6
Step-by-step explanation:
Find the missing side or angle.
Round to the nearest tenth.
b=3
a=9
c=11
C= ?
Answer:
C=125°
Step-by-step explanation:
Hi there!
To find angle C, we can use the cosine law:
[tex]cosC=\frac{a^2+b^2-c^2}{2ab}[/tex]
Plug in the given information
[tex]cosC=\frac{9^2+3^2-11^2}{2(9)(3)}[/tex]
[tex]cosC=\frac{-31}{54}[/tex]
[tex]C=cos^-^1(\frac{-31}{54})[/tex]
[tex]C=cos^-^1(\frac{-31}{54})\\C=125[/tex]
Therefore, angle C is approximately 125 degrees.
I hope this helps!
evaluate and solve: y + 3 = –y + 9
The value of y is 3.
Answer:
Solution given;
: y + 3 = –y + 9
add +y on both term
y+y+3=-y+y+9
subtract both side by 3
2y+3-3=9-3
2y=6
divide both side by 2
2y/2=6/2
y=3
Answer:
y = 3
Step-by-step explanation:
y + 3 = –y + 9
Add y to each side
y+y + 3 = –y +y+ 9
2y +3 = 9
Subtract 3 from each side
2y+3-3 = 9-3
2y = 6
Divide by 2
2y/2 = 6/2
y = 3
What is the name for the marked angel ?
Answer:
A
Step-by-step explanation:
Answer:
The answer is <ead
please mark me brainliest
A rectangle has a length (x+3)cm and a width (x-1)cm . Given that the rectangle is 24 cm^2. Find the value of x
Answer:
4.292
Step-by-step explanation:
(x+3)(x-1)=24
expand
x²+2x-3=24
x²+2x-27=0
Using the quadratic formula..
[tex]\frac{-2+\sqrt{2^2-4*1*-27}}{2}=\frac{-2+10.5830052443}{2}=4.292[/tex]
there is another answer, but it doesn't make sense in the context of this question
the un-rounded answer is 4.29150262215
Anyone know the answer?? Help pls!
Answer:
A
Step-by-step explanation:
The answer would be "The point where three medians of triangle intersect.
Please mark me as brainliest
Answer: A
Step-by-step explanation:
ds
Given the velocity v =
dt
and the initial position of a body moving along a coordinate line, find the body's position at time t.
v = 9.8t + 12, s(0) = 20
Answer:
so the answer is I don't know
2X. (3x - 2y + 4z) con proceso porfavor, ayuda
[tex]\bf \large \rightarrow \: \: 2x \: ( \: 3x \: - \: 2y \: + \: 4z \: )[/tex]
[tex]\bf \large \rightarrow \: \:6 {x}^{2} \: - \: 6y \: + \: 8x z[/tex]
Espero que te sea de ayuda.
Let f(x) = 3x − 2 and g(x) = x + 1. Find (g ∘ f)(2).
Help plsssssssssssssssss
Answer:
(g ∘ f)(2) =5
Step-by-step explanation:
f(x) = 3x − 2
g(x) = x + 1
(g ∘ f)(2).
Find f(2) = 3(2) -2 = 6-2 = 4
Then find g(4) = 4+1 = 5
pls help its timed no fake answers i cant afford to fail
Answer:
It's B, I tried using mathaway and that's the closest to the answer I got. Try it. I always use mathaway for any math problems, use that for now on if you're stuck
Step-by-step explanation:
The millage rate is the amount of property tax per $1000 of the taxable value of a home. For a certain county the millage rate is 29 mil. A city within the county also imposes a flat fee of $101 per home. a. Write a function representing the total amount of property tax T(x) for a home with a taxable value of x thousand dollars. b. Write an equation for T-1(x). c. What does the inverse function represent in the context of this problem
Answer:
(a) [tex]T(x) = 101 + 0.029 x[/tex]
(b) [tex]T^{-1}(x) = \frac{1000(x - 101)}{29}[/tex]
(c) See explanation
Step-by-step explanation:
[tex]T(x) = 172 + \frac{29}{1000}x[/tex]
Given
[tex]Flat = 101[/tex]
[tex]Rate = 29\ per\ 1000[/tex]
Solving (a): The function for total amount
This is calculated as:
[tex]T(x) = Flat + Rate * x[/tex]
Where:
[tex]x \to[/tex] taxable value
So, we have:
[tex]T(x) = 101 + \frac{29}{1000} * x[/tex]
[tex]T(x) = 101 + 0.029 * x[/tex]
[tex]T(x) = 101 + 0.029 x[/tex]
Solving (b): The inverse function
[tex]T(x) = 101 + 0.029 x[/tex]
Rewrite as:
[tex]y = 101 + 0.029x[/tex]
Swap the variables
[tex]x = 101 + 0.029y[/tex]
Make y the subject
[tex]0.029y = x - 101[/tex]
Divide by 0.029
[tex]y = \frac{x - 101}{0.029}[/tex]
Multiply by 1000/1000
[tex]y = \frac{1000(x - 101)}{29}[/tex]
Replace y with the inverse function
[tex]T^{-1}(x) = \frac{1000(x - 101)}{29}[/tex]
Solving (c): Interpret (b)
The inverse function, in this case; is the taxable value calculated from the amount of property tax
can someone help me with this ? please and thank you
Answer:
(a), (c) and (d)
Step-by-step explanation:
Required
Which is linear
A linear function is represented as any of:
[tex]y = mx + b[/tex]
[tex]y - y_1= m(x - x_1)[/tex]
[tex](a)\ 8x - 3y = 2[/tex]
Rewrite as:
[tex]- 3y = -8x+2[/tex]
Divide by -3
[tex]y = \frac{8}{3}x - \frac{2}{3}[/tex] -- by comparison to [tex]y = mx + b[/tex], this is linear
[tex](b)\ y = |x - 4|-7[/tex]
This is an absolute function. It is not linear
[tex](c)\ y + 8=5(x - 4)[/tex]
By comparison to [tex]y - y_1= m(x - x_1)[/tex], this is linear
[tex](d)\ y = -7[/tex]
by comparison to [tex]y = mx + b[/tex], this is linear because [tex]m= 0[/tex]
Others are not linear
Two thousand numbers are selected randomly; 960 were even numbers. At the 0.10 level of significance, determine whether the proportion of odd numbers is significantly different from 50%.
Answer:
The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.
Step-by-step explanation:
Test if the proportion of odd numbers is significantly different from 50%.
At the null hypothesis, we test if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, we test if the proportion differs from 0.5, that is:
[tex]H_1: p \neq 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5(1-0.5)} = 0.5[/tex]
Two thousand numbers are selected randomly; 960 were even numbers.
This means that [tex]n = 2000, X = \frac{960}{2000} = 0.48[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.48 - 0.5}{\frac{0.5}{\sqrt{2000}}}[/tex]
[tex]z = -1.79[/tex]
P-value of the test and decision:
The p-value of the test is the probability that the sample proportion differs from 0.5 by at least |0.48-0.5| = 0.02, which is P(|z|<1.79), which is 2 multiplied by the p-value of z = -1.79.
Looking at the z-table, z = -1.79 has a p-value of 0.0367
2*0.0367 = 0.0734
The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.
1. two year ago the population of a place was 20,000.during this period 625 people migrated in that place. IF the population growth rate is 5 % . find the present population
Answer:
20000×625
5 100
=200×125
1
=25000
Answer:
The present population of the place is 22,675 people.
Hope it helps you pls give a follow.
De los 30 balones de un colegio, dos quintos son de fútbol, un tercio de baloncesto y el resto de voleibol. ¿Cuántos balones de voleibol hay en el colegio? ayuda es para hoy ;(
Answer:
Number of Volleyballs = 8 balls
Step-by-step explanation:
Given:
Total number of balls = 30 balls
Fraction of soccer ball = 2/5 balls
Fraction of basketball = 1/3 balls
Rest are Volleyballs
Find:
Number of Volleyballs
Computation:
Number of Volleyballs = Total number of balls - Total number soccer balls - Total number of basketballs
Number of Volleyballs = 30 - (30)(2/5) - (30)(1/3)
Number of Volleyballs = 30 - 12 - 10
Number of Volleyballs = 30 - 22
Number of Volleyballs = 8 balls
Please help out with this question..
Answer:
Step-by-step explanation:
C = 16 * 3 = 48
PLEASE NEED HELP ASAP WILL MARK BRAINLIEST Question 2 of 10
Before radar and sonar, sailors would climb to the top of their ships to watch
for land or changes in weather. If the lookout at the top of the mast can see
an island five miles away, about how tall is the mast? Round your answer to
the nearest whole number if necessary. Use the formula for the relationship
between height (h) and visibility, how far you can see, (d):
O A. 30 feet
O B. 11 feet
O C. 36 feet
O D. 61 feet
Answer:
36
Step-by-step explanation:
Answer:
36 feet
Step-by-step explanation:
I can confirm that 36 feet is the correct answer. as seen below, I was able to get 100%
Please help I learned this a while ago and forgot how to do it
Answer:
The slope-intercept form is [tex]y=\frac{1}{2}x+\frac{11}{2}[/tex]
Step-by-step explanation:
To find the slope, use
[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]
Replace the x and y values with the points.
[tex]m=\frac{7-5}{3-(-1)}[/tex]
Solve.
[tex]m=\frac{2}{4}[/tex]
[tex]m=\frac{1}{2}[/tex]
After that, find the y-intercept form.
Put the equation in point-slope form.
[tex]y-5=\frac{1}{2}(x+1)[/tex]
Replace x with 0.
[tex]y-5=\frac{1}{2}(0+1)[/tex]
[tex]y-5=\frac{1}{2}[/tex]
Add 5 to both sides.
[tex]y=5\frac{1}{2}[/tex]
Convert to improper fraction form.
The y-intercept is [tex]\frac{11}{2}[/tex]
Now finally, write in slope-intercept form. (y=mx+b)
m is slope, b is the y-intercept.
What is the measure of angle x? Please help asap! Khan academy question!
Answer:
38°
Step-by-step explanation:
90-58
I'm unsure if that's right but i think it is. otherwise 180-58 but angle x should be the rest of the angle in KAI
Answer:
[tex]\boxed{\boxed{\tt \angle x=32^{\circ}}}[/tex]
Step-by-step explanation:
From the diagram given, we know that ∠BAC and ∠IAK are vertical angles.
*Vertical angles are two lines that intersect each other.*
So ∠BAC is equal to ∠IAK.
[tex]\tt \overline{KL} \perp \overline{FG}[/tex] so, ∠ABC =90°
(Interior angles in a triangle always add up to 180°).
[tex]\tt \angle BAC+\angle ABC+\angle BCA=180^{\circ}[/tex]
[tex]\tt 58+90+\angle BCA=180^{\circ}[/tex]
[tex]\tt \angle BCA=32^{\circ}[/tex]
∠BCA and ∠x are vertical angles, therefore they are congruent.
∠BCA and ∠x= 32°
______________________________________
Match each equation with its solution.
Answer:
1. x = -2 , 3
2. x = - 1, 5
3. -1, 6/5
4. - 0/3, 1.3
Step-by-step explanation:
1.
[tex]ln(x+5)=ln(x-1)+ln(x+1)\\\\x+ 5 = (x-1)(x+1)\\\\x + 5 = x^2 - 1\\\\x^2 - x - 6 = 0 \\\\x^2 - 3 x + 2 x - 6 =0 \\\\x(x-3)+2(x-3)=0\\\\x = -2 and 3[/tex]
2.
[tex]e^{x^{2}}=e^{4x +5}\\\\x^2 - 4x - 5 = 0 \\\\x^2 - 5x + x - 5 = 0 \\\\x (x-5)+1 (x-5)=0\\\\x = -1 and 5[/tex]
3.
[tex]log_{4}(5x^2 +2)=log_{4}(x +8)\\\\5x^2 - x - 6 = 0 \\\\5 x^2 - 6 x + 5x- 6 = 0 \\\\5 x (x + 1)-6(x+1)=0\\\\x = -1 and \frac{6}{5}[/tex]
4.
[tex]log(x-1)+log 5x = 2\\\\5 x (x-1) =2 \\\\5x^2 - 5x -2 = 0 \\\\x = \frac{5\pm\sqrt{25+40}}{10}\\\\x = \frac{5\pm 8}{10}\\\\x = 1.3, - 0.3[/tex]
A 24-ounce package of frozen peas costs $1.01. Give the unit price in cents per ounce. Round to the nearest tenth of a cent.
Answer:
4.2 cents
Step-by-step explanation:
Take the total cost and divide by the number of ounces
1.01 /24
0.04208
Round to the nearest tenth of a cent ( 3 decimal places)
0.042
4.2 cents
9.6 divided by 1.6
Please help me pls help with step by step on paper and send it to me pls ! Thank you
Answer:
6
Step-by-step explanation:
So since we are handling decimals we need to get rid of them in order to divide.
Now the numbers should be 96 and 16.
16 * 6 = 96 therefore 6 is the answer.
The required solution of 9.6 divided by 1.6 is 6.
Given that,
To determine 9.6 divided by 1.6
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
= 9.6 / 1.6
= 96 * 10 / 16 / 10
Factoring 36 in the numerator as 96 = 16 * 6
= 16 * 6 * 10 / 16 * 10
Now,
factors that are common between numerator and denominator will be eliminated,
= 6 / 1
= 6
Thus, the required solution of 9.6 divided by 1.6 is 6.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
What is the value of x if e^3x+6 =8? Answer:
Answer:
[tex]\displaystyle x = \frac{ln2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra II
Natural logarithms ln and Euler's number eLogarithmic Property [Exponential]: [tex]\displaystyle log(a^b) = b \cdot log(a)[/tex]Solving logarithmic equationsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle e^{3x} + 6 = 8[/tex]
Step 2: Solve for x
[Equality Property] Isolate x term: [tex]\displaystyle e^{3x} = 2[/tex][Equality Property] ln both sides: [tex]\displaystyle lne^{3x} = ln2[/tex]Rewrite [Logarithmic Property - Exponential]: [tex]\displaystyle 3xlne = ln2[/tex]Simplify: [tex]\displaystyle 3x = ln2[/tex][Equality Property] Isolate x: [tex]\displaystyle x = \frac{ln2}{3}[/tex]Answer:
x = 1/3 ln(2) or approximately 0.23104
Step-by-step explanation:
e^3x+6 =8
Subtract 6 from each side
e^3x+6-6 =8-6
e^3x =2
Take the natural log of each side
ln( e^3x) =ln(2)
3x = ln(2)
divide by 3
3x/3 = 1/3 ln(2)
x = 1/3 ln(2)
x is approximately 0.23104
A company made a profit of $90,000 in the year 2006. In 2010, the same company made a total profit of $135,000. If the rate of change is a constant, what is the average rate of change of the company’s profit in dollars per year? HELP
Answer:
Average rate of change = $11250 per year.
Step-by-step explanation:
Let's take two points from given information (2006, 90000) and (2010, 135000).
Now, use slope formula to find slope.
Slope =[tex]\frac{y2-y1}{x2-x1}[/tex]
Use the two points to find average rate of change (slope)
Average rate of change =[tex]\frac{135000-90000}{2010-2006}[/tex]
=[tex]\frac{45000}{4}[/tex]
=11250
Average rate of change = $11250 per year.
Which of the following is true?
(A)The baby is male/female is determined by mother’s chromosome.
(B) The baby is male/female is determined by father’s chromosome.
(C) Pair of Mother’s chromosome is X-Y .
(D) Pair of Father’s chromosome is X-X .
Answer:
(B) The baby is male/female is determined by father’s chromosome.
Step-by-step explanation:
Men determine the sex of a baby depending on whether their sperm is carrying an X or Y chromosome.
Answer:
hi i hope it helps you
Step-by-step explanation:
please mark brainlist and like
thanks
and have a nice day.
FOR EASY BRAINLIEST ANSWER AND EXPLAIN!! ASAP
QUESTION: A 30minute radio program, the entertainment portion lasts 2 minutes longer than 3 times the duration of the commercial portion. How much is devoted to commercials during the 30 minutes
Answer:
Step-by-step explanation:
we know that the total time of the show is 30 minutes.
commercial part = 3x+2
entertainment part = y
also we know that y = 3x +2
y + 3x+2 = 30
we can also say that
2(3(x) +2) = 30
so then
6x +4 = 30
6x = 26
x = 4[tex]\frac{1}{3}[/tex]
4[tex]\frac{1}{3}[/tex] is the time in minutes for commercials
Find square root of 0.0324
Answer:
0.18
Step-by-step explanation:
order the set of irrational numbers from least to greatest
Answer:
answer is A
hope it helps please mark as brainliest answer and give me thanks
#Dhruv herePlease hurry I will mark you brainliest
What is the equation of the line with a slope of -3 and a y-intercept of 4?
Answer:
y = -3x+4
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = -3x+4
Find the solution to the system of equation -x + y = 3 and x - 2y = 5.
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \large \boldsymbol{} +\left \{ {{-x+y=3} \atop { \ \ x-2y=5}} \right. => \\\\\\x \!\!\!\!\diagup-x\!\!\!\!\diagup-2y+y=5+3\\\\-y=8\\\\ y=-8\ ; \ x=-11[/tex]
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
x
V10
21:32
Submit Answer
Answer: =
s
attempt 1 out of 2
CAN SOMEONE HELP ME PLS
Answer:
x=2*sqrt(5)
Step-by-step explanation:
Since the triangle is isosceles, the other side (not x) is sqrt(10). Using Pythagoras, we have 10+10=x^2, x=2*sqrt(5)