Answer:
Two lines that intersect and form right angles are called perpendicular lines.
Answer:
perpendicular lines
Step-by-step explanation:
Definition of perpendicular lines:
Two lines that intersect forming a right angle are perpendicular lines.
Answer: perpendicular lines
If you double then triple a number, this is the same as cutting the number in half. What is the number?
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Answer:
zero
Step-by-step explanation:
3(2x) = x/2
5.5x = 0 . . . . subtract x/2
x = 0 . . . . . . . divide by 5.5
The number is zero.
If f(x) = x2 + 9x – 14 and g(x) = x2 – x + 3, find (f – g)(x).
Answer:
10x-17
Step-by-step explanation:
f(x) = x^2 + 9x – 14
g(x) = x^2 – x + 3
(f – g)(x)=x^2 + 9x – 14 - (x^2 – x + 3)
Distribute the minus sign
(f – g)(x)=x^2 + 9x – 14 - x^2 + x - 3
Combine like terms
=10x-17
What is 7 1/6 - 3 4/9 =
Answer:
67/18
Step-by-step explanation:
Find common denominator:
7 9/54 - 3 24/54
Convert to improper fraction
387/54 - 186/54
201/54
67/18
Answer:
3 15/18
Step-by-step explanation:
We start by looking at the problem, and by trying to change the denominator by finding out what number than can both go into 6 and 9.
6 x 3 = 18 9 x 2 = 18
We then change the denominator to 18.
Next, we change the whole number into a fraction. If we convert 2 whole numbers into 7 1/18, we get 5 37/18. If we convert 1 into 3 4/18, we get 2 22/18.
If we then subtract the whole numbers and fractions, the answer is
3 15/18. (It can not simplify).
For the following function, solve both f'(x) = 0 and f''(x) = 0 for x.
f(x) = x(x - 3)^4
(x+16)²=12 plz help me and show work
Answer:
The answer is [tex]x=-16[/tex] ±[tex]2\sqrt{3}[/tex] in exact form or [tex]x=-12.535898[/tex], [tex]x=-19.464102[/tex] in decimal form.
Step-by-step explanation:
To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring [tex]x+16[/tex], which will look like [tex]x^{2} +32x+256-12=0[/tex]. Next, simplify the equation again, which will look like [tex]x^{2} +32x+244=0[/tex].
Then, use the quadratic formula to find the solutions. The quadratic formula looks like[tex]\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex].
For this problem, the quadratic variables are as follows:
[tex]a=1[/tex]
[tex]b=32[/tex]
[tex]c=244[/tex]
The next step is to substitute the values [tex]a=1[/tex], [tex]b=32[/tex], and [tex]c=244[/tex] into the quadratic formula and solve. The quadratic formula will look like [tex]\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}[/tex]. To simplify the equation, start by simplifying the numerator, which will look like [tex]x=\frac{-32(+-)4\sqrt{3} }{2*1}[/tex]. Then, multiply 2 by 1 and simplify the equation, which will look like [tex]x=-16(+-)2\sqrt{3}[/tex]. The final answer is [tex]x=-16[/tex] ±[tex]2\sqrt{3}[/tex] in exact form. In decimal form, the final answer is [tex]x=-12.535898[/tex], [tex]x=-19.464102[/tex].
Roll a dice six times. Find the probability that :
a . The back of the dot appears exactly 4 times ;
Answer:
2/3???
.................
Answer:
0.804% to 3 dec places.
Step-by-step explanation:
If the first 4 throws are a dot and the next 2 are not:
Probability = (1/6)^4 * (5/6)^2
= 25/46656
There are 6C4 ways for this to happen
6C4 = (6*5*4*3)/ (4*3*2*1) = 15 ways.
So The required probability = (25*15)/46656
= 125/15552
= 0.00804
= 0.804%
Help please!!!
I need this assignment done today
Answer:
x- 1
y-5
z-3
Step-by-step explanation:
all u have to do is calculate the distance, so for example y is 5 because - -4 -3 -2 -1 0 1 and that is a 5 number distance
.
b) Lấy được ít nhất một quả cầu trắng
Answer:
I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer.
Which calculation and answer show how to convert 9/16 to a decimal?
Answer:
answer d
Step-by-step explanation:
fraction to decimal conversion is basically 9÷16
which is 0.5625
Kevin baked 44 cookies. His family ate d of them. Using d, write an expression for the number of cookies that remained
Answer:
44-d
Step-by-step explanation:
Take the total number of cookies and subtract the number eaten. That is the number remaining
44-d
A soft drink machine outputs a mean of 2424 ounces per cup. The machine's output is normally distributed with a standard deviation of 33 ounces. What is the probability of filling a cup between 2929 and 3030 ounces
Answer:
Step-by-step explanation:
Step 1: Choose the price of the house. Then calculate 20% (which will be your down payment). Write down the price and 20% of the price.
Step 2: You don't have 20% now, so you will use an annuity to save up until you have the 20%. Choose a time in the future (2 years, 3 years, 4 years, 5, 10?) that you will purchase this house. Choose an APR that the bank will give you. Calculate how much you need to deposit every month in order to have the 20% down payment down the road. Write down the numbers of years, the interest rate, the formula with all the numbers plugged in, and the monthly deposits you will need to make.
Step 3: Now you take out a mortgage on the remaining 80%. Choose an APR that the bank will charge you (to be realistic, more than the APR in step 2) and the time you will take to pay off the loan. Write down the formula with all the numbers plugged in, and write down the minimum monthly payments.
Please show me proper work and a step by step explanation on how you got your answers. Anyone who attempts to answer just to steal points will be reported. Btw this is due midnight tonight so I could really use some help with this
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Answer:
$250,000 house price. $50,000 down payment2 years, 3% from the bank, monthly: $2024.065% APR, 30 years, monthly: 1073.64Step-by-step explanation:
1. House prices vary considerably. In January, 2021, the median US house price was about $269,000, growing at the rate of about 3.2% per year. For the purpose of this problem, we have chosen a slightly lower price of ...
$250,000 . . . selected house price
20% of this price is ...
0.20 × $250,000 = $50,000 . . . amount of down payment
__
2. House prices are growing faster than the interest rate we can get at the bank, so we want to minimize the amount of time we save for a down payment. At the same time, we recognize that saving this amount quickly will put a significant strain on the budget. We choose a period of 2 years, and assume a bank rate on savings of 3%. (US rates in mid-2021 average about 0.04%.) This annuity formula gives the future value of a series of payments:
A = P((1+r/12)^(12t)-1)(12/r) . . . . monthly payment P at annual rate r for t years
Solving for P, we have ...
P = A(r/12)/((1 +r/12)^(12t) -1)
Filling in the chosen numbers, we find we need to save ...
P = $50,000(0.03/12)/(1 +0.03/12)^(12·2) -1) = $50,000(0.0025)/0.06175704
P = $2024.06
$2024.06 needs to be deposited every month for 2 years at 3%.
__
3. The mortgage will be for ...
$250,000 -50,000 = $200,000
We assume we can get an APR of 5% on a 30-year loan. (US rates in mid-2021 are around 3.2%.) The formula for the payment amount is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . principal P at rate r for t years
Filling in the chosen numbers, we find the monthly payment to be ...
A = $200,000(0.05/12)/(1 -(1 +0.05/12)^(-12·30))
= $200,000(0.0041666667)/0.77617340 = $1073.64
The monthly mortgage payment will be $1073.64.
6. The perimeter of a square room is 48 m, how much square metre carpet required it cover it ?
Answer:
144
Step-by-step explanation:
Answer:
first you have to now each side length ,since it is square so all sides are equal so 48/4=12 i.e perimeter =4 so our qoustion is area so the area of square is side square
Step-by-step explanation:
so side =12 , 12square is 144 that set.
I need help please
Don’t skip the questions if you know the answer please I need the answers as soon as possible!!
y=x²-10x-7
a>0 so we will be looking for minimum
x=-b/2a=10/2=5
y=25-50-7=-32
Answer: (5;32)
y=-4x²-8x+1
а<0 so we will be looking for maximum
х=-b/2a=8/-8=-1
у=4+8+1=13
Maximum point (-1;13)
Will give brainliest answer
Answer:
Yes lolololololololololololololololol
Answer:
Hello,
Step-by-step explanation:
[tex]\dfrac{1}{2}*10^{8t}=73 \\\\10^{8t}=146 \\\\8t=log_{10}(146)\\\\t=\dfrac{log_{10}(146)}{8} \\\\\\t=0,27054410...\approx{0.27}[/tex]
PLS SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
10 is -5
Step-by-step explanation:
plz help and explain this :)
Answer:
y=3x+6
Step-by-step explanation:
in a line graph, y=mx+c
m refers to gradient, c refers to y-intercept.
since lines are parallel, both lines have the same gradient.
the line intersects (1,9)
x=1,y=9
9=3(1)+c
c=6
so y=3x+6
Answer:
y = 3x+6
Step-by-step explanation:
Parallel lines have the same slope
y = 3x+2 is in slope intercept form (y=mx+b where m is the slope and b is the y intercept)
So the slope is 3
Y = 3x+2
Using the point given substitute into the equation and solve for b
9 = 3(1)+b
9 =3+b
9-3 =b
6=b
y = 3x+6
Fo quality control purposes, we collect a sample of 300 items and find 36 defective items in it. Construct a 90% confidence interval [a, b] for the proportion of defective items in the whole shipment.
Answer:
(0.089 ; 0.151)
Step-by-step explanation:
Given :
Sample size, n = 300
Number of defective items, x = 36
The confidence interval required here is that for a one sample proportion :
The confidence interval is defined thus :
Phat ± Zcritical * √[Phat(1 - phat) / n]
Zcritical at 90% = 1.645
Phat = x / n = 36 / 300 = 0.12
Hence,
C.I = 0.12 ± 1.645 * √[0.12(1 - 0.12) / 300]
C.I = 0.12 ± (1.645 * 0.0187616)
C.I = 0.12 ± 0.0308629
C.I = (0.089 ; 0.151)
Solve 3! Pleaseeee help
Answer:
81
Step-by-step explanation:
180-41-58=81
angles in a triangle add up to 180 :)
Find the first five terms of the following sequence, starting with n=1. tn=(−1)n+1(n2−9) Give your answer as a list, separated by commas. For example, if tn=n, you would give your answer as 1,2,3,4,5.
Answer:
-8, 5 , 0 , -7 , 16
Step-by-step explanation:
Given
[tex]t_n = (-1)^{n+1}(n^2 - 9)[/tex]
Required
The first five terms
When [tex]n = 1[/tex]
[tex]t_1 = (-1)^{1+1}(1^2 - 9)[/tex]
[tex]t_1 = (-1)^{2}(1 - 9)[/tex]
[tex]t_1 = -8[/tex]
When [tex]n =2[/tex]
[tex]t_2 = (-1)^{2+1}(2^2 - 9)[/tex]
[tex]t_2 = (-1)^3 * (4 - 9)[/tex]
[tex]t_2 = 5[/tex]
[tex]t_3 = (-1)^{3+1}(3^2 - 9)[/tex]
[tex]t_3 = (-1)^{4}(9 - 9)[/tex]
[tex]t_3 = 0[/tex]
[tex]t_4 = (-1)^{4+1}(4^2 - 9)[/tex]
[tex]t_4 = (-1)^5(16 - 9)[/tex]
[tex]t_4 = -7[/tex]
[tex]t_5 = (-1)^{5+1}(5^2 - 9)[/tex]
[tex]t_5 = (-1)^{6}(25 - 9)[/tex]
[tex]t_5 = 16[/tex]
So, the first five terms are: -8, 5 , 0 , -7 , 16
Which best describes the relationship between the lines with equations x + 8y = -1 and —8x +y = -1?
Answer:
the lines are perpdicular if you were to get some graph paper and graph u would see
Some friends are sharing a pizza. If each person gets 1/8 of the pizza, what percent of the pizza does each person get?
Answer:
1/8=12.50%
Step-by-step explanation:
Take the pizza as a whole = 100
Then consider 1/8 of 100
or 1/8 * 100
= 1/4 * 50
= 1/2 * 25
= 12.50
Therefore it is 12.50%
Tyler made a scale drawing of his apartment. The scale is 1 millimeter: 2 meters. The living room is 6 meters long in
real life. How long is the living room on the drawing?
The sum of 3x2 +x+8 and x- 9 can be expressed as
Answer:
2x + 5
Step-by-step explanation:
((3x2)+x+8) + (x-9)
= ((6) + x +8) + (x -9)
= (14 +x) + (x-9)
= 14 + x + x -9
= 2x + 5
answered by g a u t h m a t h
15 a2 - 6ab- 8 a2+ 20 - 5ab - 31 + a2- ab
Step-by-step explanation:
Remove the parentheses: 15a²-6ab+8a²+20+5ab-31+a²-ab Combine like terms: 24a²-2ab-11
Answer: 24a²-2ab-11
Hi
As you can only add or substract item of the same nature, you must re organise terms.
so :
A = 15 a2 - 6ab- 8 a2+ 20 - 5ab - 31 + a2- ab
Here I have : " a²" ; "ab" then numbers.
In general, you start with letters with highest exponant. If two letters have the same exponent, use alphabetic order.
let's put order :
A = 15a²-8a²+a² -6ab-5ab -ab+20-31
Now you add or substract item of the same kind :
A = 8a² -12ab - 9
Here I can not do anything else, so calculus is over.
Which proportion would you use to solve the following problem? A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 8 cm apart on the map. A. B. C. D.
Answer:
40 km
Step-by-step explanation:
We can use a ratio to solve
1 cm 8 cm
-------- = ----------
5 km x km
Using cross products
1 * x = 5 * 8
x = 40
40 km
[tex]\bf \large{\pink{ \implies}} \tt \: \frac{1 \: cm}{5 \: km} \: = \: \frac{8 \: cm}{x} \: \: \: \rm{\red{ (cross \: \: multiplying)}}[/tex]
[tex]\bf \large{\pink{ \implies}} \tt \:x \: = \: 40[/tex]
⇛ Distance is 40 km8. Point Mis 6 units away from the origin. Circle the letter by each pair of possible coordinates. A. (3.0) B. (4.2) C. (5,3) D. (0.6) E. (4.4) F. (1,5)
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Answer:
D. (0, 6)
Step-by-step explanation:
The origin is where the axes cross. The coordinates of that point are (0, 0). The distance of a point (x2, y2) from point (x1, y1) is given by the distance formula ...
d = √((x2 -x1)² +(y2 -y1)²)
When (x1, y1) = (0, 0), this reduces to ...
d = √(x² +y²)
We want to find (x, y) such that d=6. This can be a little easier if we square both sides of the equation to eliminate the radical.
x² +y² = 6² = 36
This is the equation of a circle of radius 6 centered at the origin: all points that are distance 6 from the origin. So, any point on the circle will be at a distance of 6 from the origin.
__
The sum of squares in each case is ...
A. 3² +0² = 9 . . . inside the circle
B. 4² +2² = 20 . . . inside the circle
C. 5² +3² = 34 . . . inside the circle
D. 0² +6² = 36 . . . on the circle at a distance of 6 from the origin
E. 4² +4² = 32 . . . inside the circle
F. 1² +5² = 26 . . . inside the circle
Solve this inequality:
-12a +7<31
Answer:
a > -2
Step-by-step explanation:
-12a +7<31
Subtract 7 from each side
-12a +7-7<31-7
-12a <24
Divide by -12, remembering to flip the inequality
-12a/-12 >24/-12
a > -2
Answer:
a>-2
Step-by-step explanation:
[tex]\sf{}[/tex]
=> -12a +7 <31
=> -12a+7-7<31-7
=> -12a<24
=> a>-2
Find the missing side of the triangle
Answer:
x = 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Pytago:
[tex]7^2 + 7^2 = x^2\\x = \sqrt{7^2 + 7^2} \\x = 7\sqrt{2}[/tex]
Step-by-step explanation:
In a right triangle, you can find the leg of the triangle by using the Pythagorean theorem.
[tex]a^2+b^2=c^2[/tex]
In this case, we have [tex]7^2+7^2=c^2[/tex], or
[tex]c^2=98[/tex]
[tex]\sqrt{98}[/tex]≅[tex]9.9[/tex]
Find the slope of the line that contains (4, -6) and (4, 4)
Answer:
Undefined
Step-by-step explanation:
Slope formula = [tex]\frac{y_{2}-y_{1}}{y_{2}-y_{1}}[/tex]
[tex]\frac{4-(-6)}{4-4}[/tex]
[tex]\frac{10}{0}[/tex]
A number can not have a denominator of 0, therefore making the slope undefined.
Answer:
Undefined.
Step-by-step explanation:
Use the slope formula: [tex]\frac{y_1-y_2}{x_1-x_2}[/tex]
[tex]m=\frac{-6-4}{4-4}=\frac{-10}{0}=[/tex] Undefined
