Explanation:
x is the number of years since 1988
x = 0 represents the year 1988
x = 1 is the year 1988+1 = 1989
x = 2 is the year 1988+2 = 1990
etc
x = 32 is the year 1988+32 = 2020
Factor this expression completely, then place the factors in the proper location on the grid. a2b2 - d2
Answer:
[tex]{ \tt{ {a}^{2} {b}^{2} - {d}^{2} }} \\ \\ = { \tt{( {ab})^{2} - {d}^{2} }} \\ = { \tt{(ab - d)(ab + d)}}[/tex]
Six numbers have a mean of 4.5 and five of the numbers are 4,3,4,6,1.
The other number is x.
Work out the value ofx.
Answer:
X = 9
Step-by-step explanation:
4 + 3 + 4 + 6 + 1 + x / 6 = 4.5
18 + x / 6 = 4.5
cross multiply
18 + x = 4.5 × 6
18 + x = 27
collect like terms
x = 27 - 18
x = 9
circle o has diameter ab and chord ac. calculate the measure of cab id bc = 62⁰
Answer:
sin62 =0.883Step-by-step explanation:
0.883=1/0.836=1.133
The measure of ∠CAB is 31⁰.
Given that,
Circle O has diameter AB and chord AC.
We have to determine,
The measure of ∠CAB if BC is 62⁰.
According to the question,
The measurement of the required angle by using circle properties following all the steps given below.
The measure of the BC is 62 degrees.
If the circle has diameter AB and chord AC,
Then,
By the property of the circle,
[tex]\rm m\angle CAB = \dfrac{1}{2} \times BC \\[/tex]
Substitute the value of the BC in the equation,
[tex]m\angle CAB = \dfrac{1}{2} \times BC \\\\ m\angle CAB = \dfrac{1}{2} \times 62 \\\\ m\angle CAB = 31 \ degree \\\\[/tex]
Hence, The measure of ∠CAB is 31⁰.
For more details refer to the link given below.
https://brainly.com/question/1319201
A man, 1.5m tall, is on top of a building. He observes a car on the road at an angle of 75°. If the building is 30m, how far is the car from the building?
The sum of two consecutive integers is -5. If 4
is subtracted from the smaller integer and 2 is
added to the larger integer, what is the quotient
when the larger of the two resulting numbers is
divided by the smaller number?
Please help me
Answer:
sim eu também preciso desta respota
The following data represents the number of days absent and the final grade for a sample of college students in a general education course at a large state university.
No. of absences 0 1 2 3 4 5 6 7 8 9
Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2
a) Which variable is the explanatory variable?
b) Draw a scatter plot and describe your scatter plot (Direction, Strength, Form).
c) Compute the correlation coefficient
d) Does a linear relation exist between the number of absences and the final grade? Justify your answer.
e) Write out the least-squares regression line equation.
f) Compute and draw the residual (on your scatter plot) for a student who misses 5 class meetings.
g) Explain the slope in context.
h) Is the y-intercept meaningful in this situation? Explain.
i) Compute and interpret the coefficient of determination.
j) Construct a residual plot to verify the requirements of the least-squares regression model.
Find X:
X + 25% x X = -1,25
Answer:
- 100
Step-by-step explanation:
OK open
The Pdf and look at the working
Pencils cost x cents and erasers cost y cents each. Mary buys 7 pencils and 3 erasers. Write down the total cost in cents, in terms of x and y.
Answer:
7x + 3y.
Step-by-step explanation:
7 pencils cost 7x cents and 3 erasures cost 3y cents.
Which statement best describes the meaning of the term average waiting-
time?
Answer:
The average number of trials required to get the first success
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 42 ounces and a standard deviation of 10 ounces. Use the Empirical Rule.
a. 99.7% of the widget weights lie between _____ and _____.
b. What percentage of the widget weights lie between 26 and 66 ounces?
c. What percentage of the widget weights lie above 34?
Answer:
The answer is below
Step-by-step explanation:
The empirical rule states for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviations and 99.7% falls within three standard deviations.
z score is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Given that mean (μ) = 42 ounces, standard deviation (σ) = 10 ounces.
a) 99.7% falls within three standard deviations. Therefore:
99.7% falls within μ ± 3σ = 42 ± 3(10) = 42 ± 30 = (12, 72)
Therefore 99.7% falls within 12 ounce and 72 ounce.
b) For x > 26
[tex]z=\frac{26-42}{10}=-1.6\\[/tex]
For x < 66
[tex]z=\frac{66-42}{10}=2.4\\[/tex]
From the normal distribution table, P(26 < x < 66) = P(-1.6 < z < 2.4) = P(z < 2.4) - P(z < -1.6) = 0.9918 - 0.0548 = 0.937 = 93.7%
c) For x > 34
[tex]z=\frac{34-42}{10}=-0.8\\[/tex]
From the normal distribution table, P(x > 34) = P(z > -0.8) = 1 - P(z < -0.8) = 1 - 0.2119 = 0.7881 = 78.81%
Answer:
Step-by-step explanation:
Given that:
Mean [tex]\mu[/tex] = 42
standard deviation [tex]\sigma[/tex] = 10
Using Empirical Rule:
[tex]\mu[/tex] - [tex]\sigma[/tex] = 42 - 10 = 32 [tex]\mu[/tex] + [tex]\sigma[/tex] = 42 + 10 = 52
[tex]\mu[/tex] - 2[tex]\sigma[/tex] = 42 - 2(10) = 22 [tex]\mu[/tex] + 2[tex]\sigma[/tex] = 42 + 2(10) = 62
[tex]\mu[/tex] - 3[tex]\sigma[/tex] = 42 - 3(10) = 12 [tex]\mu[/tex] + 3[tex]\sigma[/tex] = 42 + 3(10) = 72
The curve is attached in the image below.
a). the widget of 99.7% lies between 12 and 72
b) 68 + 13.5 = 81.5%
c) 50 + 34 = 84%
Paige and her family went to the movies. They bought 4 tickets and paid $12 for popcorn. They spent $40. How much did each ticket cost?
I need equation and cost :)
Answer:
Cost of tickets: $7. Equation: 40 = 4x + 12.
Step-by-step explanation:
Answer:
4*t +12 = 40
Each ticket cost 7 dollars
Step-by-step explanation:
tickets + popcorn = total cost
4*t +12 = 40
Subtract 12 from each side
4t +12-12 = 40-12
4t = 28
Divide by 4
4t/4 = 28/4
t = 7
Each ticket cost 7 dollars
ASAP please helppp
Answer:
1.3
Step-by-step explanation:
Raise/run = slope aka distance in this situation
8/6 = 1.3
Answer:
10 units
Step-by-step explanation:
use the distance formula as thought in school
You need to take a dosage of 10 ml of medicine every 8 hours for 9 days. How many fluid ounces of
medicine should you purchase? Round up to the next whole fluid ounce.
ounces
Answer:
270 ml
Step-by-step explanation:
30x9=270
simplify 3xy-2x-5xy+7x-1
Step-by-step explanation:
shshddbsjsnsbsbakskkamansnsbdgdhshzjzkznzn
-2xy+5x+1
Not entirely sure this is 100% correct, but this is what I got lol
What is it quadratic, radical, rational?
Answer:
quadratic formula is ur answer for letter B
The function is f(x) is shown on the graph.
What is f(0)
•12 only
•2 and 3 only
•-2, -1, 1, and 2 only
•-2, -1, 1, 2 and 12
Answer:
12 only
Step-by-step explanation:
The function is given on the graph.
What is f(0)?
This is the value of y when x = 0.
Looking at the horizontal axis, when x = 0, the vertical axis is at y = 12, and at no other point the horizontal axis is at x = 0, which means that the correct answer is given by:
12 only
Find the domain of f/g f(x)= sqrt 4-x^2 g(x)= sqrt 3x+4
Answer:
(-4/3, 2]
Step-by-step explanation:
f(x)= sqrt (4-x^2)
g(x) = sqrt (3x+4)
domain of f(x)/ g(x)
The domain of the numerator is
4-x^2 ≥ 0
4 ≥x^2
Taking the square root of each side
-2 ≤x≤2
The domain of the denominator
3x+4 > 0 ( the denominator cannot be zero)
3x>-4
x > -4/3
Combine the restrictions to make it most restrictive
-4/3<x≤2
In interval notation
(-4/3, 2]
Rewrite with only sin x and cos x.
sin 2x - cos x
Answer:
2sinxcosx - cosx OR cosx(2sinx - 1)
Step-by-step explanation:
Use the double angle identity for sin2x.
sin2x = 2sinxcosx
Substitute sin2x with 2sinxcosx.
2sinxcosx - cosx
Factor out cosx, if needed.
cosx * (2sinx - 1)
Answer:
[tex]{ \tt{ \sin2x - \cos x }} \\ = { \tt{(2 \sin x \cos x) - \cos x }} \\ = { \tt{ \cos x(2 \sin x - 1) }}[/tex]
Simplify the expression given below. x+2/4x^2+5x+1 * 4x+1/x^2-4
Answer:
[tex]\frac{1}{(x+1)(x-2)}[/tex]
Step-by-step explanation:
[tex]\frac{x+2}{4x^2 + 5x + 1} \ \times \ \frac{4x+1}{x^2-4}\\\\=\frac{x+2}{4x^2 + 4x + x + 1} \ \times \ \frac{4x+1}{x^2-2^2}\\\\=\frac{x+2}{4x(x + 1) + 1( x + 1)} \ \times \ \frac{4x+1}{(x - 2)(x + 2)} \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=\frac{x+2}{(4x + 1)(x+1)} \ \times \ \frac{4x+1}{(x-2)(x+2)}\\\\=\frac{1}{(x+1)} \ \times \ \frac{1}{(x-2)}\\\\= \frac{1}{(x+1)(x-2)}[/tex]
Answer:
D. 1/(x+1)(x-2)
Step-by-step explanation:
i looked it up on a simplifier :)
A square + B square
Soln: Formula for a²+b² can be given by two types.
(i). a²+b² = (a+b)² - 2ab
= a²+2ab+b²-2ab
= a²+b²
=> LHS = RHS
Therefore, hence proved!
(ii). a²+b² = (a-b)² + 2ab
= a²-2ab+b²+2ab
=> LHS = RHS
Therefore, hence proved!
Hence, a²+b² = (a+b)² - 2ab
'OR'
a²+b² = (a-b)² + 2ab
Thank you. ☺️
hope it helps
I need help I’ll mark u as brainlest
Answer:
V = 64 in^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 4^3
V = 64 in^3
Answer:
64
Step-by-step explanation:
volume of a cube formula: V = a^3
a is just one of the edges
[tex]4^{3}[/tex] = 64 = V
:)
Solve the equation 2x2 + x - 41 =
- 15 to the nearest tenth.
I neeeddd
HEEEELPPPP
Answer: 22
Step-by-step explanation: 2x2 + x -41= -15
* 4 + x -41= -15
* x -37= -15
* x= 22
A custodian has 5 and 1/2 gallons of paint each of the book cases she is painting requires 1/2 gallon of paint how many book cases will the custodian be able to paint with that amount of paint A.3 B.4 C.11 D.15
Answer:
Option C.
Step-by-step explanation:
Factor the polynomial: -5x3 - 10x2 - 15x
A. -5x(x2 + 2x - 15)
O B. 5x(x2 + 2x - 3)
O C. -5x(-x2 - 2x - 3)
OD. -5x(x2 + 2x + 3)
Answer:
answer is d if its wrong i am sorry
Translate this phrase into an algebraic jahauahahshshshshshshshshshshhs
Answer:
Step-by-step explanation:
Jdshdcjecjjwdjwddhwedhwedwedwehwdhw?
i think?
How do I do this question?
Answer:
3rd OptionStep-by-step explanation:
[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} [/tex]
[tex] = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} [/tex]
[tex] = 9 \sqrt{2} (ans)[/tex]
The distance between the complex numbers z1 = 7 – 2i and z2 = 3 - 3i is ________
Answer:
sqrt(17)
Step-by-step explanation:
the distance is
|(7-2i) - (3-3i)| = |4 + i|
remember, the absolute value of a complex number is
|a+bi| = sqrt(a²+b²)
in our case
sqrt(4² + 1²) = sqrt(16+1) = sqrt(17)
22. You are traveling on a highway starting at point A. After you have
traveled 63 miles (point B), you see a sign that says it is 87 miles
(point B), you see a sign that says it is 87 miles to your destination
(point C). . Find the total distance you will travel to get to your
destination.
A А
63 mi
B.
87 mi
С
Answer:
150 miles
Step-by-step explanation:
63 + 87 = 150
find height of cylinder given surface area and radius
Answer:
h = A/2πr - r
That's the formula. Hopefully it's understandable because I don't know any other way of typing it. You can always search it up and it'll show you. :)
Patty's dog weighs 48 ounces. How many pounds does Patty's dog weigh?
Answer:
If Patty's dog weighs 48 ounces, and we convert ounces to pounds, our answer is 3. Patty's dog weighs 3 pounds
Step-by-step explanation: