Answer:
A: x ≤ −4
Step-by-step explanation:
Hi there!
We're given the two inequalities -8x + 3 ≥ 27 and −13x + 5 ≥ 57
we need to find the set of solutions that make the two inequalities true (the intersection)
First, let's solve the two inequalities, starting with -8x + 3 ≥ 27
-8x + 3 ≥ 27
subtract 3 from both sides
-8x≥24
divide both sides by -8 and remember to FLIP the inequality sign, as we're dividing with a negative
x ≤ -3
now for the other inequality:
−13x + 5 ≥ 57
subtract 5 from both sides
-13x ≥ 52
divide both sides by -13 and remember to FLIP the sign
x ≤ -4
please see below for the graph to find the intersection, as well as the final answer
Hope this helps! :)
When purchasing a new Cell Phone Plan you are given two pay options (Both included
unlimited text):
With Plan A, you can pay 23 cents per minute. This can be represented by the equation
C= 0.23m
With Plan B, you can pay 19 cents per minute plus a flat fee of $9.00. This can be
represented by the equation c = 0.19m + 9.00
Complete the following steps to determine how many minutes you would need to use for
Plan B to be less expensive than Plan A
Answer:
225 and greater
Step-by-step explanation:
900/4 or 900 cents/ 4 cents equals 225 on calculator
We use 225 minutes for Plan B to be less expensive than plan A.
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
For plan A,
We can pay 23 cents per minute.
This can be represented by the equation,
C= 0.23m
For plan B,
We can pay 19 cents per minute plus a flat fee of $9.00.
This can be represented by the equation,
C = 0.19m + 9.00
Now, To find the minutes for plan B is less expensive than plan B
We can write an inequality that represent,
Plan A < Plan B
0.23m < 0.19m + 9
0.23m - 0.19m < 9
0.04m < 9
Divide 0.04 both side,
m < 225
Thus, We use 225 minutes for Plan B to be less expensive than plan A.
Learn more about the inequality visit:
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Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
What’s the ratio of 20 to 3
Answer:
666.666666666667%
Step-by-step explanation:
Convert fraction (ratio) - 20 / 3 Answer: -666.666666666667%
How do I do this?? Help plse!
Can someone help me please
Answer:
4(8+n)
(n×8) + (n×4)
8(n+4)
(n×8) + (n²)
Step-by-step explanation:
just very basically calculate or transform the expressions. pay attention to what is a multiplication, and what is an addition (sometimes the brackets try to suggest something else than what is actually there).
Adam is 9 years old and Billy is 11 years old. What will be the ratio of Adams’ age to Billy’s age in exactly one year’s time? Give your answer in its simplest form. *
Answer:
10 / 12
simplified:
5/6
since 5 is a prime number, we can't simplify this ratio any further
f(2) 42 g(x) = 2x +3 Find 4) (. Include any restrictions on the domain. O A. 2.2---3 417 2 > 0 B. 47 2 2 r--3, (1) (a) = (4) (a) x A 을 c. (5) (r) = 1,2*0 OD (1) (a= + 2
Answer:
Option D
Step-by-step explanation:
Given f(x) = [tex]\sqrt[3]{4x}[/tex]
g(x) = 2x + 3
Since, [tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]
[tex]=\frac{\sqrt[3]{4x}}{2x+3}[/tex]
This function is defined for the denominator is not equal to zero.
(2x + 3) ≠ 0
x ≠ [tex]-\frac{3}{2}[/tex]
Therefore, Option D will be the correct option.
HELP ASAP. Find the set.
Given:
The given sets are:
[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]
[tex]A=\{x|x\text{ is an odd natural number and }x<10\}[/tex]
[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]
[tex]C=\{x|x\in N\text{ and }3<x<5\}[/tex]
To find
The set [tex]B\cap U[/tex].
Solution:
We have,
[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]
[tex]U=\{1,2,3,4,5,6,7,8,9\}[/tex]
[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]
[tex]B=\{2,4,6,8\}[/tex]
Now, [tex]B\cap U[/tex] is the set that contains all the common elements of both sets B and U.
[tex]B\cap U=\{2,4,6,8\}[/tex]
[tex]B\cap U=B[/tex]
Therefore, the correct option is A.
Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location near Ames city limits. Experts believed that approximately 15% of the surrounding population would be interested in becoming season ticket holders. A random sample of 500 residents of Story County was collected (of the approximately 80,000 residents of Story County). Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames. The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to ___________.
Answer:
The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to 0.248.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames.
This means that [tex]p = \frac{124}{500} = 0.248[/tex]
The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to
By the Central Limit Theorem, it is equal to the sample proportion of 0.248.
why mathematical induction is used ?(write a 100 words paragraph)
Answer:
Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true for all natural numbers ( non-negitive integers). The simplest and most common form of mathematical induction proves that a statement involving a natural number that holds for all values.
Provide a formula that can be used to determine whether a point in a circle that is centered about (0,0) with a diameter of 12
Answer:
x² + y² = 36
Step-by-step explanation:
The formula for the circle is
x² + y² = 36
If the point is on the circle it will equal 36 when plugged into the formula
Point(6, 0)
6² + 0 = 36
36 = 36 on the circle
point (5, 1)
5² + 1² = ?
25 + 1 = 26
26 ≠ 36 not on the circle
Step-by-step explanation:
hhajjbahhahahsshahhshshshshssbhssjdj
Someone please help with this ASAP!!! I will give brainliest
Answer:
12m
7m
2520 m³
Step-by-step explanation:
Answer:
h=7m
top width=12m
v=l*w*h
=28*12*10=3360
volume of the top=3*20*12
720
v of the shape is= 3360-720
=2649
Prove that : ⬆️⬆️⬆️
Anyone please solve that question.
What is the slope of a line that is parallel to the line
shown on the graph?
Solve each equation.
a) 2x = 7
b) 4x = 3
c) 6x = 3
d) 7x = 13
HOW DO YOU SOLVE THESE I NEED THE ANSWER FOR THE QUESTION HELPPPP PLEASEEEE!!!!!!
Step-by-step explanation:
hey :) if you need help download algebrator. I use it ALL the time pls download it and try it out. it'll give you explanations
Answer:
a) x = 7/2
b) x = 4/3
c) x = 1/2
d) x = 13/7
Step-by-step explanation:
(this is the same process for every one of them. I did C for you)
Let's solve your equation step-by-step.
6x=3
Step 1: Divide both sides by 6.
6x/6 = 3/6
x=1/2
2. What is the best estimate of the value of In 16?
Answer:
Hey your question is in incomplete
Step-by-step explanation:
k66jntynnu.uk8 677nunni.i7k78mi
x−9≥−12 Express your answer as an inequality.
Answer:
x ≥ −3
Step-by-step explanation:
Step One : Add 9 to both sides.
x − 9 + 9 ≥ −12 + 9
x ≥ −3
There is no more to be done, that is our answer. x ≥ −3.
Hope this helps, please mark brainliest! :)
Given f(x) = 52x, evaluate f(–1), f(0), and f(2). Question 1 options:a. 1/25, 0, 625 B. 25, 1, –25 c. 1/25, 0, 25 d. 1/25, 1, 625
Answer:
1/25, 1, 625
Step-by-step explanation:
The value of the function at f(–1), f(0), and f(2) will be 1/25, 1, 625 thus option (d) is correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
As per the given function,
f(x) = [tex]5^{2x}[/tex]
Put x = -1
f(-1) = 5⁻² = 1/5² = 1/625
Put x = 0
f(0) = 5⁰ = 1
Put x = 2
f(2) = 5²ˣ² = 5⁴ = 625
Hence "The function's value at f(-1), f(0), and f(2) is 1/25, 1, 625".
For more about the function,
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What is the domain of the relation given by the set of ordered pairs shown?
{ ( - 3, 2 ), ( - 1, 0 ), ( - 3, 5 ), ( 2, - 3 ) }
List the domain as a set, in increasing order.
Step-by-step explanation:
the domain = {-3, -1, 2}
_____
The domain, as a set in increasing order, will be {-3, -1, 2}.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The set of ordered pairs shown below.
{(-3, 2), (-1, 0), (-3, 5), (2, -3)}
Then the domain, as a set in increasing order, will be
⇒ {-3, -1, 2}
More about the domain and range link is given below.
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Select all the numbers that are solutions to the inequality 4,5,,6>5,5.2>5,5.01>5,0.5
Plzzz answer I’ll give you 10 points
iii; iv; and v
Step-by-step explanation:
I think
Can you help me with this question? 15 points and brainliest if right!!
How to take a screenshot on an HP laptop
Press the Windows key and Print Screen at the same time to capture the entire screen. ...
Open an image editing program (Microsoft Paint, GIMP, Photoshop, and PaintShop Pro will all work).
Open a new image and press CTRL + V to paste the screenshot.
PLS HELP ASAP !!! PLSSS !! will mark whoever answers correctly as brainliest !
Answer:
x=70 degree
Step-by-step explanation:
x+110 =180 degree (the relation between x and 110 degree is that they are co exterior angles are same side exterior angles and sum of co exterior angles is always 180 degree)
x=180-110
x=70 degree
Factorize (2ax-2ay-3by+3bx)
Answer:
That's the answer I searched for and I hope it can help.
#Carryonlearning
Please make me brainliest!
Circle the answer choice below that does not equal the following:
- 48/16
1) 48/-16
2) -3
3) 3
4) -(48/16)
Answer:
3
Step-by-step explanation:
-48/16 = 48/16
-48/16 = -3/1 = -3
usain bolt broke the world record for the mens 100 m sprint with a time of 9.58 seconds. Florence Griffith Joyner broke the world record for the womens 100 m sprint with a time of 10.49 seconds. If florence and usain were running at their world-record speed in the same race, how many metres behind usain would florence finish?
Answer:
If Florence Griffith Joyner and Usain Bolt were running at their world-record speed in the same race, Florence Griffith Joyner would finish 8.67 m behind Usain Bolt.
Step-by-step explanation:
Step 1: Determine the speed of each athlete in m/s
Speed = distance / time
Distance = 100 m
Usain Bolt's speed: 100m / 9.58 s = 10.438 m/s
Florence Griffith Joyner's speed: 100 m/ 10.49 s = 9.533 m/s
Step 2: Determine the distance covered by Florence Griffith Joyner in 9.58 s
Distance = Speed × time
Distance covered by Florence Griffith Joyner = 100 m/ 10.49 s × 9.58 s = 91.32 m
Step 3: Determine the difference in the distance covered by Usain Bolt and Florence Griffith Joyner after 9.58 s
After 9.58 s, Usain Bolt have covered a distance of 100 m
After 9.58 s, Florence Griffith Joyner have covered a distance of 91.33 m
Difference between the distances = (100 - 91.33) m = 8.67 m
Therefore, if Florence Griffith Joyner and Usain Bolt were running at their world-record speed in the same race, Florence Griffith Joyner would finish 8.67 m behind Usain Bolt
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.
Which expression is equivalent to (1/√y)^-1/5?
A: 5√y^2
B: 1/√y^5
C: 10√y
D: 1/10√y
Answer:
[tex]=\sqrt[10]{y}[/tex]
So option c is the correct answer
Step-by-step explanation:
[tex]\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{1}{\sqrt{y}}\right)^{\frac{-1}{5}}=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\=\frac{1^{\frac{-1}{5}}}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:rule}\:1^a=1\\1^{\frac{-1}{5}}=1\\=\frac{1}{\left(\sqrt{y}\right)^{\frac{-1}{5}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=\frac{1}{\left(\sqrt{y}\right)^{-\frac{1}{5}}}\\\left(\sqrt{y}\right)^{-\frac{1}{5}}=\frac{1}{\sqrt[10]{y}}\\=\frac{1}{\frac{1}{\sqrt[10]{y}}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}\\=\frac{\sqrt[10]{y}}{1}\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=\sqrt[10]{y}[/tex]
12. The heights of 53 students at Park School are shown in the histogram below.
Height of Students
18
Number of Students
NA ON
44 46 48 50 52 54 56 58 60
Height (inches)
Based on the data in the histogram, which statement is true?
A There are 12 students between 46 and 50 inches in height.
B. Exactly 18% of the students are between 52 and 54 inches in height.
C. More students are between 54 and 60 inches than between 46 and 50 inches in height.
Fewer students are between 44 and 52 inches than between 52 and 60 inches in height.
D
Answer:
Fewer students are between 44 and 52 inches than between 52 and 60 inches in height.
Step-by-step explanation:
Given
See attachment for histogram
Required
Select the true statement
Option A: Class 46-50 = 12 students
From the histogram, we have:'
[tex]Class\ 46 - 48 = 8; Class\ 48 - 50 = 3[/tex]
So:
[tex]Class\ 46 - 48 = Class\ 46 - 48 + Class\ 48 - 50[/tex]
[tex]Class\ 46 - 48 = 8+ 3[/tex]
[tex]Class\ 46 - 48 = 11[/tex]
(a) is false
Option B: %Class 52-54 = 18%
From the histogram, we have:'
[tex]Class\ 52-54 = 18[/tex]
and
[tex]Total = 53[/tex]
So, the percentage is:
[tex]\% Class\ 52-54 = \frac{Class\ 52-54}{Total}[/tex]
[tex]\% Class\ 52-54 = \frac{18}{53}[/tex]
[tex]\% Class\ 52-54 = 0.3396[/tex]
Express as percentage:
[tex]\% Class\ 52-54 = 33.96\%[/tex]
(b) is false
Option C: Class 54-60 > Class 46 - 50 students
From the histogram, we have:'
[tex]Class\ 54-60 =Class\ 54-56 + Class\ 56-58 + Class\ 58-60[/tex]
[tex]Class\ 54-60 = 4 + 4+3[/tex]
[tex]Class\ 54-60 = 11[/tex]
In (a), we have:
[tex]Class\ 46 - 48 = 11[/tex]
By comparison:
[tex]Class\ 54-60 =Class\ 46 - 48 = 11[/tex]
(c) is false
Option D: Class 44-52 < Class 52 - 60 students
From the histogram, we have:'
[tex]Class\ 44-52 =Class\ 44-56 + Class\ 46-48 + Class\ 48-50 +Class\ 50-52[/tex]
[tex]Class\ 44-52 = 4+8+3+9[/tex]
[tex]Class\ 44-52 = 24[/tex]
[tex]Class\ 52-60 =Class\ 52 - 54 + Class\ 54-56 + Class\ 56-58 + Class\ 58-60[/tex]
[tex]Class\ 52-60 = 18+ 4 + 4+3[/tex]
[tex]Class\ 52-60 = 29[/tex]
By comparison:
[tex]24 < 29[/tex]
i.e.
[tex]Class\ 44 - 55 < Class\ 52 - 60[/tex]
(d) is true
Below are two parallel lines with a third line intersecting them
Answer:
hey, there is no attached photo. so I don't know how to help
Which expression give the best estimate of 45 percent of 76
Answer:
a. One-fourth (80)
b. One-fifth (80)
c. One-half (80)
d. One-ninth (80)
the answer is C.
Step-by-step explanation:
Estimate .45 to .50 which is 1/2
= 1/2 (80)
hope this helps!
Find the surface area of the
prism.
Answer:
D. 464 ft²
Step-by-step explanation:
Area of trapezoidal prism = h(b + d) + l(a + b + c + d)
Where,
h = 4 ft
a = 5 ft
b = 6 ft
c = 5 ft
d = 12 ft
l = 14 ft
Plug in the values into the formula
Area of trapezoidal prism = 4(6 + 12) + 14(5 + 6 + 5 + 12)
= 4(18) + 14(28)
= 72 + 392
= 464 ft²