Please answer with explanation, I don't understand.
[tex]\sqrt{x^2-14x+49} =x-7[/tex]
Answer: x ≥ 7
Step-by-step explanation:
You have to square both sides of the equation. You can manipulate an equation or function any way imaginable as long as it is done equally and helps the problem become easier. If we square this, the radical will cancel and we will get two trinomials equal to each other.
[tex]x^2-14x+49=(x-7)^2\\x^2-14x+49=x^2-14x+49[/tex]
We can see the two expressions are exactly equal to each other. All real numbers are solutions, besides a few. These few are when the radical is equal to a negative number. So lets set up an inequality stating that the radical must be greater than or equal to 0.
[tex]x^2-14x+49\geq 0\\(x-7)^2 \geq 0\\x \geq 7[/tex]
Find the measure of <2!
Answer fast pls, 15 pts! <3
Answer:
65
Step-by-step explanation:
180-115=65
It needs to be a total of 180 so just do what I did :)
A polygon has 29 sides.
Work out the sum of its interior angles.
Answer:
29
Step-by-step explanation:
Answer:
n=29sides
sum of interior angle of polygon=(n-2)180=(29-2)180=27×180=4860°
How to find the Perimeter?
Answer:
8+2[tex]\sqrt{20\\}\\[/tex]
Step-by-step explanation:
2+2+2+2+[tex]\sqrt{20\\}\\[/tex]+[tex]\sqrt{20\\}\\[/tex]=8+2[tex]\sqrt{20\\}\\[/tex]
4^2+2^2=h^2
20=h^2
h=[tex]\sqrt{20\\}\\[/tex]
Gina has two job offers as a dog walker. She wants to earn at least $75 each week. The first offer pays $15 each week plus $3 per dog walked. Let x represent the number of dogs walked.
Answer:
Gina should take the first option because she gets to walk less dogs and make $75
Step-by-step explanation:
lol
Chris works at a jewelry store, and he earns 4% commission on all sales that he makes. If Chris's jewelry sales total $1,370, how much will he earn in commission?
someone help ple it's easy
Explain what is wrong with each of the following randomization procedures, and describe how you would do the randomization correctly.
a. Twenty students are to be used to evaluate a new treatment. Ten men are assigned to receive the treatment, and 10 women are assigned to be the controls.
b. Ten subjects are to be assigned to two treatments, 5 to each. For each subject, a coin is tossed. If the coin comes up heads, the subject is assigned to the first treatment: if the coin comes up tails, the subject is assigned to the second treatment.
c. An experiment will assign 40 rats to four different treatment conditions. The rats arrive from the supplier in batches of 10, and the treatment lasts two weeks. The first batch of 10 rats is randomly assigned to one of the four treatments, and data for these rats are collected. After a one-week break, another batch of 10 rats arrives and is assigned to one of the three remaining treatments. The process continues until the last batch of rats is given the treatment that has not been assigned to the three previous batches.
Answer:
Kindly check explanation
Step-by-step explanation:
A.)
The problem with the here is that we might have introduced bias into our sample by failing to randomize the assignment of gender. By pacing the male gender in the treatment group and females into the control group, this might spring up a spurious association in our experiment as a result of a possible confounding variable, gender. Therefore, assignment of subject shouldn't be on the basis of gender.
2.)
Using a coin toss in placing subjects into groups will give a good random assignment, however, since only ten subjects are available and of which 5 will be placed into each group, there is no certainty that there will be equal number of heads and tails during the 10 flips. Alternatively, a random selection of the name of the 10 subjects could be chosen from a raffle.
3.)
Each batch of rat might be homogenous and hence will affect our experiment and definitely our conclusion. It would be best to assign rats from each batch to all treatment groups in other to obtain a good random design
It will cost $2 per square foot to plant grass in the park. What will be the total cost, in dollars, of planting the grass?
Answer:
$1040
Step-by-step explanation:
Sara has 6 chapters to read over 4 days. How many chapters will she need to read each day?
Answer:
1 and a half per day.
Step-by-step explanation:
6/4 = 1.5
Day 1: Chapters 1 and half of 2
Day 2: Chapters half of 2 and 3
Day 3: Chapters 4 and half of 5
Day 4: Chapters half of 5 and 5
Which lists the fractions 4/7,5/9,and 2/3 in order from least to greatest?
1 is what % of 200 ?
Answer:
1 is 0.5% of 200
Hope it helped u,
pls mark as the brainliest
^_^
Help plssssssssssssss this counts for my grade
Answer:
8.04063*10^2
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer:
804.063
Step-by-step explanation:
8 x 100 = 800, 4 x 1 = 4, 6 x 1/100 = 0.060, and 3 x 1/1,000 = 0.003.
Michael works 30 hours per week and makes $15.00 per hour. How much does he make in a 4-week month?
Answer:
$1,800
Step-by-step explanation:
If Michael works 30 hours a week for $15 an hour we can use the equation:
15 x 30 = 450.
Now just multiply the given answer by 4 and you're left with:
450 x 4 = 1800.
In the diagram below AB is parallel to CD . What is the value of x ?
Help me please with this
Connie deposited $1200 in a new account that earns 3% simple interest. After 7 years, how much interest will she have earned?
Answer:
$252
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 1200 × 0.03 × 7 = 252
I = $ 252.00
The simple interest accumulated
on a principal of $ 1,200.00
at a rate of 3% per year
for 7 years is $ 252.00.
Select all of the trips that would take 2 hours.
Multiple select question.
A)
Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart.
B)
Walk 3 miles per hour to school, which is 1.5 miles away.
C)
Take a train going 80 miles per hour from Albany to New York City, which are 160 miles apart.
Answer:
A)
&
C)
Step-by-step explanation:
120÷60=2
160÷80=2
The sum of two numbers is 70. The difference of the two numbers is 32. What are the two numbers.
51 + 19 = 70
51 - 19 = 32
hope that helped!!
Answer:
51 and 19
Step-by-step explanation:
help pls i need this asap
If f and g are two functions defined by
f(x) = 3x + 5 and g(x) = x +1, then g(f(x) is
Answer:
9x^2 +30x +26. g(f(x)) = (3x + 5)^2 + 1
Step-by-step explanation:
The value of function g(f(x)) will be (3x + 8).
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
The value of functions are;
f(x) = 3x + 5 and g(x) = x + 1
Now, Find the value of function f(g(x)) by substituting the given values as;
f(g(x)) = f (x + 1)
= 3 (x + 1) + 5
= 3x + 3 + 5
= 3x + 8
Thus, The value of function g(f(x)) will be (3x + 8).
Learn more about the function visit:
https://brainly.com/question/20384115
#SPJ2
Carlos bought a new computer printer for $110.50 and some ink cartridges
for $8.25 each. He spent a total of $176.50.
The equation $176.50 = $110.50 + $8.25c can be used to solve this
problem. Which two mathematical operations do you need to perform in
order to solve the equation for c?
A. addition and multiplication
B. division and multiplication
C. subtraction and division
D. multiplication and subtraction
Fred earns $ 45 mowing the lawn. He spends $ 5 on music, and puts half of what's left in a savings account. He then gets another $ 10 for washing his neighbor's car. First, write the expression that represents the number of dollars Fred keeps (and does not put in his savings account), and then simplify.
Answer:
$30
Step-by-step explanation:
Given that :
Amount earned for mowing = $45
Amount spent on music = $5
Amount earned for washing neighbor's car = $10
Amount saved = half or remaining amount
Amount of dollars Fred keeps =
Amount Fred keeps:
[(Amount earned - amount spent) / 2] + $10
[($45 - $5) / 2] +
($40 / 2) + $10
= $20 + $10
= $30
36 : 52 = __:__
a) 18:26
b) 2:3
d) 2:2
d 9:13
Pls I need for both
Answer:
slope=(3--5)/(7--4)=8/11
Step-by-step explanation:
slope=(3-4)/(10-8)=-1/2
Evaluate the geometric series below. Please show your work.
Answer:
-1310715
Step-by-step explanation:
By the formula of a geometric sequence, we work out:
[tex]\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715[/tex]
The positive integer less than 7
Answer:
6,5,4,3,2,1
Step-by-step explanation:
Any number below 7 that is positive
What is the value of the expression (Three-fourths) cubed?
StartFraction 81 Over 256 EndFraction
StartFraction 27 Over 64 EndFraction
StartFraction 9 Over 12 EndFraction
StartFraction 27 Over 4 EndFraction
Answer:
started fraction 27 over 64 end fraction step by step the expression itself three fourths cubed
Answer:
the answer is 27/64
Step-by-step explanation:
(3/4)x(3/4)x(3/4) is 27/64
A person travels 10 miles due north, then 5 miles due west, then 14 miles due north and then 12 miles due east. How far is that person from their starting point?’ I will give brainlest to the best answer.
Answer:
Step-by-step explanation:
North and Souths get added together. North is positive and South is negative.
East and West get added together. East is positive and West is negative.
This will get us two numbers for a triangle that we can make starting at the origin and ending where the two numbers take us.
10 miles north + 14 miles north = 24 miles north
10 + 14 = 24
5 miles west + 12 miles east = 7 miles east
-5 + 12 = 7
See attached image for picture and rest of work.
(3x^3+2x^2-3x+4)divided by (x+2)
Answer:
3x^3+2x^2-3x+4/x+2
Step-by-step explanation: