Answer:
1
Step-by-step explanation:
Let x represent the number. The given relation is ...
x² +(x+3)² = 17
2x² +6x +9 = 17 . . . . simplify
x² +3x -4 = 0 . . . . . . subtract 17 and divide by 2
(x +4)(x -1) = 0 . . . . . factor
The solutions make these factors zero: -4 and +1. The positive solution is 1.
The number is 1.
What is yeet+yeet=
Please answer
Answer:
yyeeeett
Step-by-step explanation:
just a guess y'know
Answer:
Step-by-step explanation:
Why, it’s quite simple: yeet plus yeet =2yeet. Or if one of those yeets yeeted themselves out the window like Papyrus yeeted himself out of Undyne’s window, then only one sad yeet is left without a friend to yeet.
HOPE THIS HELPS NYHEHEHEHEH
-Signed by The Great Papyrus Spagettitore
Classify the data of the heights of ladders produced by a tool company.
Complete Question:
1. Classify the data of the heights of ladders produced by a tool company.
Group of answer choices :
Statistics
Qualitative
Classical
Quantitative
Answer:
The data of the heights of ladders produced by a tool company is:
Quantitative
Step-by-step explanation:
The heights of ladders are stated in numbers. Quantitative data give information about quantities or numbers. They can be measured with certainty. They are not like qualitative data which are descriptive and cannot be easily measured unless classified in some ways. Quantitative measurements associate measurement units to data, e.g. meters and feet. For example, the heights of persons, buildings, or things like ladders can be measured quantitatively in meters and feet. Another feature of quantitative data is that arithmetic operations can be performed on the data.
Which diagram represents a fraction equivalent to 75%?
sin θ=√5/3, cos θ=2/3
3/2
2√5/5
√5/2
3√5/5
9514 1404 393
Answer:
cos θ = 2/3
Step-by-step explanation:
We presume you want the value of the cosine for
sin θ = √5/3 ≈ 0.745356
__
There are several possible approaches you can take to this problem.
1) Using the trig identity:
cos = √(1 -sin²)
cos θ = √(1 -(√5/3)²) = √(1 -5/9) = √(4/9)
cos θ = 2/3
__
2) Another approach you can take is to use a calculator to find the angle, then use the calculator to find the cosine of the angle.
cos θ = cos(arcsin(√5/3)) = cos(arcsin(0.745356)) = cos(48.19°) ≈ 0.666667
cos θ = 2/3
__
3) Yet another approach is to check the answer choices for reasonableness.
You are given sin θ = 0.745356. This is more than 0.707107, the value where sine and cosine are equal, so the cosine value must be less than 0.707. The answer choices are ...
2/3 ≈ 0.667
3/2 . . . greater than 1; not a viable cosine value
2√5/5 ≈ 0.894 . . . too large
√5/2 . . . greater than 1; not a viable cosine value
3√5/5 . . . greater than 1; not a viable cosine value
So, just looking at the values of the offered answer choices, you can choose the correct one. It is the only value with the appropriate magnitude.
cos θ = 2/3
An electric company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used, x 200 The function b(ar) = { 0.102, 0.15(x - 200) +20, 200 determines the bill How much is the bill for a person who uses 800 kWh in a month?
Answer:
$110
Step-by-step explanation:
=0.15(x-200)+20
=0.15(800-200)+20
=0.15(600)+20
=90+20
=$110 paid
Prove that if r is any rational number, then 3r2 − 2r + 4 is rational. The following properties may be used in your proof. Property 1: Every integer is a rational number. Property 2: The sum of any two rational numbers is rational. Property 3: The product of any two rational numbers is rational. Note: Property 1 is Theorem 4.3.1, Property 2 is Theorem 4.3.2, and Property 3 is Exercise 15 in Section 4.3. Using these properties, choose explanations for each step in the given proof.
Given:
Expression is
[tex]3r^2-2r+4[/tex]
To prove:
If r is any rational number, then [tex]3r^2-2r+4[/tex] is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,
[tex]3r^2-2r+4[/tex]
It can be written as
[tex]3(r\times r)-2r+4[/tex]
Now,
3, -2 and 4 are rational numbers by property 1.
[tex]r^2=r\times r[/tex] is rational by Property 3.
[tex]3r^2\text{ and }-2r[/tex] are rational by Property 3.
[tex]3r^2+(-2r)+4[/tex] is rational by property 2.
So, [tex]3r^2-2r+4[/tex] is rational.
Hence proved.
We want to prove that if r is rational, then:
[tex]3*r^2 - 2r + 4[/tex] Is also rational.
The proof is below:
Remember that a rational number is any number that can be written as a quotient of two integer numbers.
Then we have:
[tex]r = \frac{a}{b}[/tex]
Where a and b are integers.
If we replace that in our equation, we get:
[tex]3*(\frac{a}{b}) ^2 - 2*(\frac{a}{b}) + 4\\\\\frac{3a^2}{b^2} - \frac{2a}{b} + \frac{4}{1}[/tex]
Note that if a is an integer, then 3*a^2 is also an integer.
If b is an integer, then b^2 is also an integer.
Now we can perform the sum of these fractions to get:
[tex]\frac{3a^2}{b^2} - \frac{2a}{b} + \frac{4}{1}\\\\\frac{3a^2 - 2ab + 4b^2}{b^2}[/tex]
And because integers are closed under the addition, then the numerator of that fraction is also an integer, then we have that the given expression can be written as a quotient of two integers, thus, it is a rational number.
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mia has 14 coins in her pocket that total $1.10. what are the coins in her pocket
Answer: Either 8 dimes and 6 nickles, or 4 quarters and 10 pennies. Both combinations add up to $1.10.
Have a nice day
The 14 coins can be:
- 8 dimes and 6 nickels
Or
- 10 pennies and 4 quarters
Given,
14 coins make up $1.10
We need to find what are the 14 coins.
What are the different types of coins that make up a dollar?We have,
100 pennies = $1
20 nickels = $1
10 dimes = $1
4 quarters = $1
Find the coins that are worth $1.10
We have
10 dimes = $1
So,
1 dime = $0.10
8 dimes = $0.80 _____(1)
20 nickels = $1
So,
1 nickels = $0.05
6 nickels = $0.30 _____(2)
100 pennies = $1
10 pennies = $0.1 _____(3)
4 quarters = $1 ______(4)
From (1) and (2)
8 dimes + 6 nickels = $0.80 + $0.30
14 coins = $1.10
From (3) and (4)
10 pennies + 4 quarters = $0.1 + $1
14 coins = $1.10
Thus the 14 coins can be:
- 8 dimes and 6 nickels
- 10 pennies and 4 quarters
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The Kroger Company is one of the largest grocery retailers in the United States, over 2000 grocery stores across the country. Kroger uses an online customer questionnaire to obtain performance data about its products and services and about what motivates its customers (Kroger website, April 2012). In the Kroger customers were asked if they would be willing to pay more for had each of the following four characteristics. The four questions were: pay more forproducts that have a brand name?products that are environmentally friendly?products that are organic?products that have been recommended by others?For each question, the customers had the option of responding Yes if they or No if they would not pay more.a. Are the data collected by Kroger in this example categorical orb. What measurement scale is used?
Answer:
A) Categorical
B) Nominal
Step-by-step explanation:
As we can see from the data that the question only had two answers i-e Yes or no so therefore they were categorical rather than quantitative in which he would have asked the user for how much money they were willing to pay more.
It's nominal because he asked in terms of more or less rather than some specific number
How to show the value of 11 in two different ways
Answer:
1 x 11
10 + 1
Step-by-step explanation:
3x= 5 + 2(3 + 4x)
How to solve this?
Answer:
Step-by-step explanation:
Simplifying
3x = 5 + 2(3 + 4x)
3x = 5 + (3 * 2 + 4x * 2)
3x = 5 + (6 + 8x)
Combine like terms: 5 + 6 = 11
3x = 11 + 8x
Solving
3x = 11 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
3x + -8x = 11 + 8x + -8x
Combine like terms: 3x + -8x = -5x
-5x = 11 + 8x + -8x
Combine like terms: 8x + -8x = 0
-5x = 11 + 0
-5x = 11
Divide each side by '-5'.
x = -2.2
Simplifying
x = -2.2
Answer:
x = -11/5
Step-by-step explanation:
3x = 5 + 2(3 + 4x)
~Distribute left side
3x = 5 + 6 + 8x
~Combine like terms on the left side
3x = 11 + 8x
~Subtract 8x to both sides
-5x = 11
~Divide -5 to both sides
x = -11/5
Best of Luck!
In a recent survey of college-educated adults, 324 indicated that they regularly work more than 45 hours a week. If this represents 36% of those surveyed, how many people were in the survey
Answer:
900 people
Step-by-step explanation:
.36x=324
×=324÷.36
x=900
900 people were in the survey.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
324 indicated that they regularly work more than 45 hours a week.
and 36% of those surveyed.
let the total people surveyed be x
36% of x= 324
36 x/100 = 324
36 x = 32400
x= 32400 / 36
x= 900
Hence, total 900 people are surveyed.
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Look at the middle 7 in the decimal 0.777. How is its value related to the value of the 7 to its left? To the value of the 7 to its right?
Answer:
Value of middle 7 = [tex]\frac{1}{10}[/tex](value of 7 to the left of the middle 7)
Value of middle 7 = [tex]10[/tex](value of 7 to the right of the middle 7)
Step-by-step explanation:
7 in the middle of number [tex]0.777[/tex] is equal to [tex]\frac{7}{100}[/tex]
7 to the left of the middle 7 is equal to [tex]\frac{7}{10}[/tex]
So,
[tex]\frac{7}{100}=(\frac{1}{10}) \frac{7}{10}[/tex]
That is value of middle 7 = [tex]\frac{1}{10}[/tex](value of 7 to the left of the middle 7)
Also,
7 to the right of the middle 7 is equal to [tex]\frac{7}{1000}[/tex]
So,
[tex]\frac{7}{100}=(10) \frac{7}{1000}[/tex]
That is value of middle 7 = [tex]10[/tex](value of 7 to the right of the middle 7)
Listed below are the heights from a sample of male students (in inches). 75 72 72 73 74 65 69 74 70 70 71 75 71 75 69 75 78 70. How many students are measured?
Answer:
18
Step-by-step explanation:
count
The number of students measured in this sample is 18.
The number of students measured is the number of heights that were acquired for the sample.
Looking at the question, the number of heights acquired were 18 which means that there were 18 students.
Knowing the number of students is important as it can help you calculate things such as mean:
Mean = Sum of heights / Number of students
= (75 + 72 + 72 + 73 + 74 + 65 + 69 + 74 + 70 + 70 + 71 + 75 + 71 + 75 + 69 + 75 + 78 + 70) / 18
= 72.11
In conclusion, the number of students measured is 18.
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Mathias and Roman are discussing how to simplify the following expression: 7ba3+9a2-9(79a3b-59a2+2ab2). They are writing an equivalent expression before and after combining like terms. Select all the possible solutions they obtained in the process.
Answer
Can someone help
Step-by-step explanation:
GIVING BRAINLIST SO PLZZ HELP I REALLY NEED HELP
Which situation results in a final value of zero?
A. The temperature after a decrease of 5ºF from a temperature of -5ºF.
B. The height of an airplane after taking off from ground level and rising 1,000 feet.
C. The amount of money received in change after making a $10 purchase with a $20 bill.
D. The distance above sea level after increasing 24 meters from a depth of 24 meters below sea level.
Answer:
The answer is D.
Step-by-step explanation:
-24+24=0
James planted 195 flowers in 3 days. There were 4 volunteers, including James, who each planted the same number of flowers. About how many flowers did they plant altogether?
Answer:
About 780 plants
Step-by-step explanation:
195 flowers*4 volenteers=780 plants
5х + 2y — 7z help ? PleAse need it rn
Answer:
16
Step-by-step explanation:
5x + 2y - 7z
(x = 2, y = 10, z = 2)
First things first you would want to take the letters that the numbers are equal to and replace them with the numbers.
5(2) + 2(10) - 7(2)
Then you multiply the number that's beside the parentheses, 5(2) is the same as 5 x 2.
5(2) = 10
2(10) = 20
7(2) = 14
so now you have
10 + 20 - 14
10 + 20 = 30
30 - 14 = 16
and 16 is your final answer!
what is the distance between 1/3 and 1/2
Answer
1/3
Step-by-step explanation:
Answer:
1/2 is bigger than 1/3 by a little bit
If you bought a hamburger for $2.30 and paid for it with a 5 dollar bill, how much change would you receive?
(100 POINTS) Write the particular equation of this transformed cosine graph. (Hint: Try to find the best point to center the sinusoidal axis.)
Answer:
y= - 3cosx - 2
Step-by-step explanation:
Our max here is at 1, and the minimum is at - 5
The distance between the x-axis and these points are 1 and 5. 5 + 1/2 = 6/2 = 3, our amplitude. But let's double check. Our middle point is - 2 so...
- 5 - (- 2) = - 5 + 2 = - 3
The amplitude is rather - 3.
f(x) = Acos(Bx + C) + D
Using this we know B = 0, D = - 2 (the middle point), C = 0, and A = - 3 (amplitude). B = 0, and C = 0, as there is no horizontal/vertical shift
f(x) = Acos(Bx + C) + D
f(x) = - 3cosx + (- 2)
f(x) = - 3cosx - 2
Answer:
y= - 3cosx - 2
Step-by-step explanation:
Just Answered on A P E X Practice Assignment
find the sum of like terms 7y+2y
Answer:
9y
Step-by-step explanation:
since the symbols are the same you just add and keep the symbol.
Given m||n, find the value of x.
t
>m
(6x-9)
(5x+10)
9514 1404 393
Answer:
x = 19
Step-by-step explanation:
The two marked angles are corresponding angles, so have the same measure.
6x -9 = 5x +10
x = 19 . . . . . . . . . add 9-5x
Find f(7) given f(x) = 5x+ x + 2
Answer:
44
Step-by-step explanation:
hi! we can plug in 7 for each x in this equation.
f(7)=5(7)+7+2
=35+7+2
=35+9
=44
38 / 20 - 87 + 38 + 78
Answer:
30.9 is your answer
Step-by-step explanation:
County day scholarship fund receives a gift of $130,000 the money is invested in stocks, bonds and CDs. CDs pay 2% interest, bonds pay 2.9% interest, and stocks pay 9.9% interest. country day invests $25000 more in bonds than in CDs. if the annual income from the investment is $8885, how much was invested in each vehicle?
country day invested $______ in stocks.
country day invested $______ in bonds.
country day invested $______ in CDs.
Answer:
$15,000 was invested in CDs.
$40,000 was invested in bonds.
$75,000 was invested in stocks.
Step-by-step explanation:
Let C be the amount invested for CDs, B be the amount invested for bonds, and S be the amount invested for stocks.
We know that the total amount invested must be $130,000 because that was the amount given to the Scholarship Fund. So:
[tex]C+B+S=130000[/tex]
We know that CDs pay 2% or 0.02 interest; Bonds pay 2.9% or 0.029 interest; and Stocks pay 9.9% or 0.099 interest. In total, the investment earned $8,885. So:
[tex]0.02C+0.029B+0.099S=8885[/tex]
Let's remove the decimals by multiplying everything by 1000. This yields:
[tex]20C+29B+99S=8885000[/tex]
Now, we know that $25000 more was invested in bonds than CDs. So:
[tex]B=25000+C[/tex]
We have a triple system of equations. We can solve this using substitution. Let's substitute our third equation into the second equation. This yields:
[tex]20C+29(25000+C)+99S=8885000[/tex]
We want to isolate the C variable. Here, we removed the B but we still have an S.
So, to remove the S, we can go back to our first equation. We have:
[tex]C+B+S=13000[/tex]
Subtract C and B from both sides:
[tex]S=130000-C-B[/tex]
We can now substitute this for S:
[tex]20C+29(25000+C)+99(130000-C-B)=8885000[/tex]
We got a B again. But, we already know what B is. Substitute:
[tex]20C+29(25000+C)+99(130000-C-((25000)+C))=8885000[/tex]
So, our equation is now in terms of C. Solve for C. Distribute on the far right:
[tex]20C+29(25000+C)+99(130000-C-25000-C)=8885000[/tex]
Combine like terms:
[tex]20C+29(25000+C)+99(105000-2C)=8885000[/tex]
Distributive Property:
[tex]20C+725000+29C+10395000-198C=8885000[/tex]
Combine like terms:
[tex](20C+29C-198C)+(725000+10395000)=8885000[/tex]
Add:
[tex]-149C+11120000=8885000[/tex]
Subtract 1112000 from both sides:
[tex]-149C=-2235000[/tex]
Divide both sides by -149:
[tex]C=15000[/tex]
So, a total of $15,000 was invested in CDs.
Since $25,000 more was invested in bonds than in CDs, this means that a total of $25000+$15000 or $40,000 was invested in bonds.
To find out how much was invested in stocks, we can use our first equation again:
[tex]C+B+S=130000[/tex]
Substitute 15000 for C and 40000 for B:
[tex]15000+40000+S=130000[/tex]
Add:
[tex]55000+S=130000[/tex]
Subtract 55000 from both sides:
[tex]S=\$75000[/tex]
So, $15,000 was invested in CDs, $40,000 was invested in bonds, and $75,000 was invested in stocks.
And we're done!
Answer:
$15,000 was invested in CDs.
$40,000 was invested in bonds.
$75,000 was invested in stocks.
Step-by-step explanation:
Zoom in to see the question better. Would really appreciate it if someone helped fast thanks!
Answer:
congruent angles
Step-by-step explanation:
What is 73+84=. On Saxon math
Answer:
157
Step-by-step explanation:
You just have to take 73+84, and here is the equation.
73+84=157
OR
First, add the numbers in the ones place.
3+4=7
Now you know that the ones place is 7, we find the tens place.
7+8=15
Since only a 1-digit number can fill up a place, we bring the one over to the hundreds place.
Hence, the answer 157.
can someone help me with this?
Answer:
A
Step-by-step explanation:
A is correct! How have a great day!
Community Gym charges a $50 membership fee and a $70 monthly fee. Workout Gym charges a $190
membership fee and a $60 monthly fee. After how many months will the total amount of money paid to
both gyms be the same? What will the amount be?
After
months the amount paid to both gyms will be $
Answer:
14 month
Step-by-step explanation:
Lets create equations for these two gyms. I believe this is an algebra 1 problem.
Community Gym: y=70x+50
Workout Gym: y=60x+190
Because both gyms are equal to y, we can set them together and solve for x.
70x+50=60x+190
10x=140
x=14
You can find the cost by plugging in 14 into both of the equations. You get a cost of $1030 after 14 months
Therefore, after 14 months you will have paid the same amount for both gyms.
Answer:
x = 14 months, $1030
Step-by-step explanation:
The expressions are,
→ 70x + 50
→ 60x + 190
Forming the equation,
→ 70x + 50 = 60x + 190
Now required value of x will be,
→ 70x + 50 = 60x + 190
→ 70x - 60x = 190 - 50
→ 10x = 140
→ x = 140/10
→ [ x = 14 months]
The amount of money will be,
→ 70(14) + 50 = 60(14) + 190
→ 980 + 50 = 840 + 190
→ $1030 = $1030
Hence, it will take 14 months.
Martin used a coordinate plane to design the garden shown. Each unit on the grid represents 10 yards.
How many yards of rope does Martin need to rope off the perimeter of the garden?
Enter your answer in the box.
The number of yards Martin needs to rope off the perimeter of the garden is: 320 yards.
What is the Perimeter of a Figure?Perimeter of any figure is the total length of the surrounding of the figure or shape.
Given:
A unit on the grid = 10 yards
From the diagram given, the figure is surrounded by 32 units
Thus:
Perimeter of the garden = 32 units × 10 = 320 yards.
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