Find the approximate values of real numbers up-to-three decimal places.
9514 1404 393
Answer:
√51 ≈ 7.1411313/9900 ≈ 0.133∛971 ≈ 9.902Step-by-step explanation:
The usual rules of rounding apply. If the digit in the 4th decimal place is 5 or more, then 1 is added in the 3rd decimal place. The roots are found using your calculator. The first 4 digits of the repeating decimal are clearly visible already.
a) √51 ≈ 7.141428... ≈ 7.141
b) 0.1326_26 ≈ 0.133
c) ∛971 ≈ 9.90238... ≈ 9.902
_____
Additional comment
The repeating decimal is equivalent to the fraction 1313/9900.
What is the slope of the equation y = -2x + 3? -3 -2 2 3
Answer:
-2
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -2x + 3
Step 2: Identify
Break function
Slope m = -2
y-intercept b = 3
How do to solve 7x-1 over 22 = 3x+1 over 10
Answer:
7x-1/22 = 3x+1/10
Multiply both sides of the equation by the Lowest common Multiple of the denominators(22 and 10). This is done to clear the fractions.
The LCM of 22 and 10 is 110
So
110 x(7x-1/22) = 110 x (3x+1/10)
110/22 =5
110/10 = 11
So the eqn now becomes
5(7x-1) = 11(3x+1)
Opening the parentheses
35x - 5 = 33x + 11
Collect Like Terms
35x - 33x = 11 + 5
2x = 16
x= 8.
Find the slope of the lines shown in the graph
the function g is defined as follows for the domain given. g(x)=2x-2, domain=(-3,-2,1,5). find the range of g using set notation.
Answer:
[tex]Range: \{y|y = -8,-6,0,8\}[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 2x - 2[/tex]
[tex]x = \{x|-3,-2,1,5\}[/tex]
Required
The range using set notation
We have:
[tex]g(x) = 2x - 2[/tex]
When [tex]x = -3[/tex]
[tex]g(-3) = 2*-3 - 2 = -8[/tex]
When [tex]x = -2[/tex]
[tex]g(-2) = 2*-2 - 2 = -6[/tex]
When [tex]x = 1[/tex]
[tex]g(1) = 2*1 - 2 =0[/tex]
When [tex]x=5[/tex]
[tex]g(5) = 2*5 - 2 =8[/tex]
So, we have:
[tex]y = -8,-6,0,8[/tex]
Using set notation, the range is:
[tex]Range: \{y|y = -8,-6,0,8\}[/tex]
The answer choices are:
-17
-8
-2
2
5
8
15
Answer:
-8, 2, 15
Step-by-step explanation:
For a function each input value can have one and only one output value
Therefor -17, -2, 5, 8 cannot be input values because they already have output values other than 9
Valid inputs are
-8, 2, 15
A zoning board in Pine County is interested in estimating the proportion of its residents in favor of larger school zones in that county. A random sample of Pine County residents was selected. All the selected residents were asked, "Are you in favor of larger school zones in your county?" A 95% confidence interval for the proportion of residents in favor of larger school zones in that county was calculated to be 0.48 ± 0.02. Which of the following statements is correct?
A) At the 95% confidence level, the majority of area residents is in favor of larger school zones in that county.
B) In repeated sampling, 95% of sample proportions will fall in the interval (0.46, 0.50).
C) At the 95% confidence level, the estimate of 0.48 is within 0.02 of the true proportion of county residents in favor of larger school zones in that county.
D)In repeated sampling, the true proportion of county residents in favor of larger school zones in that county will fall in the interval (0.46, 0.50).
E) In repeated sampling, 95% of the time, the true proportion of county residents in favor of larger school zones in that county will be equal to 0.48.
Answer:
C) At the 95% confidence level, the estimate of 0.48 is within 0.02 of the true proportion of county residents in favor of larger school zones in that county.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% CI between 0.48 - 0.02 = 0.46 and 0.48+0.02 = 0.5.
The interpretation is that we are 95% sure that the true population proportion is in this interval, that is, with 95% confidence, the estimate is within 0.02 of the true proportion, and so the correct answer is given by option C.
An algebra question does anyone know the answer?
Answer:
inverse of the function = {{2, 0), (3, 2), ( 2, 4), (0, -1)}
yes, the function is one to one.
95/100 can be written as
19/20
13/20
19/10
Answer:
I quite strongly believe that the first option is the correct one since the following applies,
19/20
20*5=100
and
19*5=95
which in the end is equivalent to 95/100
please help me and use laws of exponents
Answer:
1/8*1/3^3
1/8*1/27
1/216
Step-by-step explanation:
just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .
In the diagram, ATPR ~ AXPZ. Find the length of the altitude PY
Х
4.5
Р
own W 4
Y
4.5
Z
The length of altitude PY is
Can someone help me pls
last year Patrick paid £2534 for his annual train ticket this year he has to pay £2612 for his annual train ticket. work out the percentage increase in the cost of his train ticket. give your answer correct to 3 significant figures.
Answer:
Percentage increase in the cost of his train ticket = 3% (Approx.)
Step-by-step explanation:
Given:
Cost of annual ticket paid by Patrick last year = £2,534
Cost of annual ticket paid by Patrick current year = £2,612
Find:
Percentage increase in the cost of his train ticket
Computation:
Percentage increase = [(Current - Base) / Base]100
Percentage increase in the cost of his train ticket = [(2,612 - 2,534) / 2,534]100
Percentage increase in the cost of his train ticket = [(78) / 2,534]100
Percentage increase in the cost of his train ticket = [0.03078]100
Percentage increase in the cost of his train ticket = 3.078
Percentage increase in the cost of his train ticket = 3% (Approx.)
What type of triangle, if any, can be formed with angle measures of 32, 126, and 32°?
A. no triangle
B. either an acute isosceles triangle or an obtuse isosceles triangle
C. only an obtuse isosceles triangle
D. only an acute isosceles triangle
Answer:
C. only an obtuse isosceles triangle
Step-by-step explanation:
the triangle has two congruent(equal) angles that are both 32°, and a triangle with two congruent angles is an isosceles triangle.
the third angle, 126°, in the triangle is an obtuse angle because it is larger than 90°, and a triangle with one obtuse angle is an obtuse triangle
thus, the triangle with angle measures of 32, 126, and 32° is both an isosceles and obtuse triangle.
Every month $50 is withdrawn from Tom’s savings account to pay for his gym membership he has enough savings to withdraw no more than $200 for how many months can Tom pay his gym membership?
Where did 35 come from?
35 is the sum of the first five triangular numbers, making it a tetrahedral number. 35 is the number of ways that three things can be selected from a set of seven unique things also known as the "combination of seven things taken three at a time". ... 35 is the highest number one can count to on one's fingers using base 6.
A hungry elf ate 20 of your muffins. That was of all of them! How many did you start with?
Answer:
20
Step-by-step explanation:
if a hungry elf ate all 20 of your muffins then technically you only had 20 to start with.
(-2, 11) & (5,6)
What is the slope of the equation between these two points?
Answer:
[tex] m =\dfrac{-5}{7}[/tex]
Step-by-step explanation:
Given :-
Two points (-2,11) and (5,6) .And we need to find out the slope of the equation between the two points. The slope of the line passing through two points , is given by ,
[tex]\implies Slope (m) =\dfrac{ y_2-y_1}{x_2-x_1}[/tex]
Here the two points are (-2,11) and (5,6) .So put on the respective values ,[tex]\implies Slope (m) =\dfrac{ 11 - 6}{-2-5}\\\\\implies Slope = \dfrac{5}{-7} \\\\\implies Slope = \dfrac{-5}{7} [/tex]
Hence the slope of the line is -5/7 .
Find the mean proportion between 28 and 63.
Answer:45.5
Step-by-step explanation:
find the next term is in the explicit and recursive rule for the in term of the sequence. NO LINKS!!!
9514 1404 393
Answer:
5) 729, an=3^n, a[1]=3; a[n]=3·a[n-1]
6) 1792, an=7(4^(n-1)), a[1]=7; a[n]=4·a[n-1]
Step-by-step explanation:
The next term of a geometric sequence is the last term multiplied by the common ratio. (This is the basis of the recursive formula.)
The Explicit Rule is ...
[tex]a_n=a_1\cdot r^{n-1}[/tex]
for first term a₁ and common ratio r.
The Recursive Rule is ...
a[1] = a₁
a[n] = r·a[n-1]
__
5. First term is a₁ = 3; common ratio is r = 9/3 = 3.
Next term: 243×3 = 729
Explicit rule: an = 3·3^(n-1) = 3^n
Recursive rule: a[1] = 3; a[n] = 3·a[n-1]
__
6. First term is a₁ = 7; common ratio is r = 28/7 = 4.
Next term: 448×4 = 1792
Explicit rule: an = 7·4^(n-1)
Recursive rule: a[1] = 7; a[n] = 4·a[n-1]
Suppose
f(x) = x3 + 3. Find the graph of
2
f
3
х
Answer:
KLL
Step-by-step explanation:
6=24
hope that help!!!!!!!!!!!!!!!!!!
Help—
Natalie is having a birthday party and it's time to cut
the cake.
Unfortunately she doesn't know how far she needs to
cut from the center to the edge of the cake.
She remembered the baker told her that the
circumference is 46 inches.
How far should Natalie cut?
**NO spaces
**Include units
**Round to the nearest hundredths
Answer:
7.32 inches
Step-by-step explanation:
The circumference of the circle is 46 inches, and you just have to find the radius... you do the 2xpixr=C backwards. So 2xpixr=46 simplify the expression; 6.28xr=46 then divide... r=46/6.28... Which rounds to 7.32 inches as the radius.
(And yes you are finding the radius if you are finding a line from the middle of the circle to an edge)
I hope this helps :))
the cost of a movie ticket depends on your age . the piecewise function below gives the cost of a movie ticket for children , adults , senior citizens .
a) how much does a ticket cost of a movie goer is 22 years old
b) find c(8) and explain it's meaning in context .
Answer:
8.50
Step-by-step explanation:
Find the circumference use 3.1; for pie
Answer:
12.56 m
Step-by-step explanation:
If the radius is 2, the the diameter will be 4 since the diameter = 2 radius. Next, you will multiply 3.14 * 4 to get your answer:
12.56 m
Help? Can anyone help me out? I’ll give Brainly! :) thank you!
Answer:
B
Step-by-step explanation:
$970+$2436= $3,406
the 10% and 12% tax brackets equal out to $749.32 total deducted (22%)
Pls help simplify! I’ll give brainlest
Answer:
3^12
Step-by-step explanation:
Answer:
3^12
Step-by-step explanation:
need help with this
(A) delta h(t) = 32
Step-by-step explanation:
Average rate of change delta h(t) is given by
[tex]delta \: h(t) = \frac{h(b) - h(a)}{b - a} [/tex]
at t = 0, h(0) = 80
at t = 2, h(2) = -16(4) + 64(2) + 80 = 144
Plugging in the numbers
delta h(t) = (144 - 80)/(2 - 0)
= 32
Work out the mean for the data set below: 207, 208 Give your answer as a decimal.
Answer:
207.5 is the answer.
Step-by-step explanation:
Add up the numbers (207 + 208) = 415.
Then divide how many numbers, since the problem gives us 2 numbers, you divide 415 by 2.
That is how you find the mean.
Please answer number 10 I’ll give brainliest thank!
Answer:
Hello! answer: experimental probability 12/20
theoretical probability: 10/20
list the reactants when limestone reacts to produce calcium chloride,water and carbondioxide
Answer:
The completed reaction is
CaCO3 + 2 HCl → (Ca+2 + 2 Cl-)aq + H2O + CO2↑
What is the constant rate of change for the relationship shown in the table?
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The rate of change is the change in y over the change in x. In this table, the change in y is +1, and the change in x is +3, so we get [tex]\frac{1}{3}[/tex]