Answer:
Slope: 8 Y-intercept: -1
Step-by-step explanation:
This equation follows the format of y = mx + b. M would be the slope, b would be the y-intercept.
Camila measured a line to be 17.5 inches long. If the actual length of the line is 18.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Please help, thanks :)
La circunferencia es tangente a la recta 3x - 4y = 34 en el punto (10, -1) Y también es tangente a la recta 4x + 3y = 12 en el punto (3, O). Hallar la ecuación de la circnferencia.
Answer:
La ecuación del círculo en la forma es (x - 145/12)² + (y - 109/16)² = (545/48)²
Step-by-step explanation:
La información dada son;
La primera línea tangente al círculo en el punto (10, -1) = 3·x - 4·y = 34
La segunda línea tangente al círculo en el punto (3, 0) = 4·x + 3·y = 12
Las rectas tangentes dadas en forma de pendiente e intersección, y = m·x + c son;
3·x - 4·y = 34
4·y = 34 - 3·x
y = 34/4 - 3/4·x = 8.5 - 3/4·x
Primera tangente
y = 8.5 - 3/4·x
3·y = 12 - 4·x
y = 12/3 - 4/3·x = 4 - 4/3·x
Segunda tangente
y = 4 - 4/3·x
La recta de la ecuación de los radios es perpendicular a la tangente y se encuentra con la tangente en el punto de intersección con el círculo como sigue;
La primera ecuación radial tiene pendiente, m = 1/(-3/4) = 4/3
La ecuación en forma de punto y pendiente es y - (-1) = 4/3×(x - 10)
y = 4/3×(x - 10) - 1 = 4/3·x - 40/3 - 1 = 4/3·x - 43/3
Por tanto, la ecuación del primer radio es;
y = 4/3·x - 43/3
La segunda ecuación radial tiene pendiente, m = 1/(-4/3) = 3/4
La ecuación en forma de punto y pendiente es y - 0 = 3/4×(x - 3)
y = 3/4×(x - 3) = 3/4·x - 9/4
Por tanto, la ecuación del segundo radio es;
y = 3/4·x - 9/4
Los dos radios se encuentran en el centro dado como sigue;
4/3·x - 43/3 = 3/4·x - 9/4
4/3·x - 3/4·x = 43/3 - 9/4
7/12·x = 145/12
x = 145/12
y = 3/4·x - 9/4 = 3/4·145/12 - 9/4 = 109/16
Las coordenadas del centro = (h, k) = (145/12, 109/16)
La longitud del radio, r = √((109/16 - 0)² + (145/12 - 3)²) = 545/48
La ecuación del círculo en la forma (x - h)² + (y - k)² = r² es, por lo tanto;
(x - 145/12)² + (y - 109/16)² = (545/48)².
Yesterday, the temperature at noon was 10.4°F. By midnight, the temperature has decreased by 16.7 degrees. What was the temperature at midnight?
I'm in 7th grade by the way
Answer:
-6.3 degrees
Step-by-step explanation:
First I formed the equation 10.4-16.7=x, which the answer came to be -6.3 degrees.
The Gorilla eats 39 pounds of food each day. Gracie eats 165 pounds of food each day. If you round the 39-40 and 165- 160. About how much more does Gracie eat than the gorilla each day
Answer:
Gracie eats 120 more.
Step-by-step explanation:
i know that 160 - 40 = 120
I really need help on all of them, I will give out brainliest to one answer and ten points to both
Answer:
1. 1/2, 2. 2, 3. 1/-3, 4. -2
Step-by-step explanation:
1) I know that the equation for slope is y2-y1/x2-x1. For number one I first found two points of the graph which is (0,3) and (2,4) (not sure if I see it correctly, its kind of blurry). I decided that (0,3) would be my y1 and x1 and (2,4) will be my y2 and x2. I later plugged the number in the equation and got 4-3/2-0 which the answer turns out to be 1/2.
2) For the rest of the questions it is kinda the same business as question 1. For question two I chose two points out of the table which wrer (-1, -12) and (1,-8) and plugged them into the equation and got -8-(-12)/1-(-1) which the answer turns out to be 2.
3) similar to question 2. The two points(2,-6) and (-4,-3) are given to you. so I plugged them in again and got -3-(-6)/-4-2 which the answer turns out to be 3/-6 into 1/-3.
4) Same with question 1 find two points of the graph. I chose (0,3) and (1,1) (again might not be accurate it's kind of blurry) I plugged them into the equation again and got 1-3/1-0 which equals -2.
Just always remember y2-y1/x2-x1=m is the equation for slope.
(m is the variable for slope)
Hoped this helped you : )
The number of violent crimes committed in a day possesses a distribution with a mean of 2.8 crimes per day and a standard deviation of 4 crimes per day. A random sample of 100 days was observed, and the sample mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample means.
Answer:
The distribution is approximately normal with mean = 2.8 and standard error = 0.4
Step-by-step explanation:
We are given;
Mean; μ = 2.8
Standard deviation; σ = 4
Sample size; n = 100
Now, the central limit theorem states that the sample mean with a sample size(n) from a population mean (μ) and population standard deviation(σ) will, for large value of n, have an approximately normal distribution with mean μ and standard error as (σ/√n)
The sample size is 100 and thus it's very large because it's bigger than minimum of 30 for approximate distribution.
Thus, SE = (σ/√n) = 4/√100 = 4/10 = 0.4
Thus,from the central limit theorem I described, we can say that the distribution is approximately normal with mean = 2.8 and standard error = 0.4
Your literature class will read 4 novels this year, chosen by class vote from a list of 7 possible books offered by the teacher.
a) How many different ways could the course unfold, given that it probably matters what order you read the books in?
b) How many different choices of books could the class make?
a) The number of different ways the course could unfold is
Answer:
a) 840 different ways
b) 35 different choices of books
Step-by-step explanation:
We know that our literature class will read a total of 4 novels this year.
All novels chosen by class vote from a list of 7 possible books offered by the teacher.
Wherever we have an experiment [tex]''N''[/tex] which is formed by sub - experiments that can occurred in [tex]m_{1},m_{2},...,m_{n}[/tex] ways, the total number of ways in which the whole experiment [tex]''N''[/tex] can be developed is :
[tex]m_{1}[/tex] x [tex]m_{2}[/tex] x ... x [tex]m_{n}[/tex]
Then, for a) if it matters what order we read the books in, the total number of different ways could the course unfold is :
[tex](7).(6).(5).(4)=840[/tex] (I)
Because for the first book there are 7 different choices. Now, given that we choose the first book, we only have 6 different choices for the second one.
Continuing with the idea, we deduce the equation (I).
For item b) :
Wherever we have [tex]''n''[/tex] different objects and we want to find the ways that we can choose [tex]''r''[/tex] objects from that group, we need to use the combinatorial number.
We define the combinatorial number as :
[tex]nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}[/tex]
Then, if we apply this to the problem, the total different choices of books if we want 4 novels voting from a total of 7 possible books is :
[tex]7C4=\frac{7!}{4!(7-4)!}=35[/tex]
a) 840 different ways
b) 35 different choices of books
If A= (0,0) and B= (2,5), what is the approximate length of AB?
Answer:
have a good night!
Step-by-step explanation:
[tex]AB = \sqrt{ {x}^{2} + y {}^{2} } [/tex]
[tex]AB = \sqrt{ {2}^{2} + {5}^{2} } [/tex]
[tex]AB = \sqrt{4 + 25} [/tex]
[tex]AB = \sqrt{29} [/tex]
i need this asap! will give a thanks and brainliest to whoever answers !!
Answer:
10 spiders
18 grasshoppers
1) 23= -7 - 4m + 9 + m
how are multiplying and factoring similar
Answer:
Multiplying and factoring are similar as they both deal with what make up a number. Factors are multiplied to become numbers, and numbers are multiplied to become multiples.
If m∠FBE=(4x+2)° and m∠EBD=(5x−13)°, then m∠FBA=
The Measure of <FBA is 62 degree.
What is Linear Pair?When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. The total of angles of a linear pair is always equal to 180°.
Given:
m∠FBE=(4x+2)° and m∠EBD=(5x−13)°
as, FB bisects <EBA
So, <EBF = <FBA
and, EB bisects <FBD
So, <FBE= <EBD
4x+ 2 = 5x -13
x= 15
So, <EBF = <FBA = 4x+ 2 = 4(15)+ 2 = 62
Learn more about Linear Pair here:
https://brainly.com/question/17525542
#SPJ2
Vincente slept 5 more hours this past weekend than Dorinda. Dorinda only slept half as many hours this weekend as Sade.
1. Write an expression that shows how much Vincente slept in terms of Dorinda.
2. Write an expression that shows how much Dorinda slept in terms of Sade.
3. Write an expression that shows how much Sade slept in terms of Vincente.
Answer/Step-by-step explanation:
*An average person on Earth needs 8.5 hours of sleep each night*
1. V - 5 = D
2. D ÷ 2 = S
3. S + 5 = V
For the Noah and Andres question: To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line? Sorry this is long
Answer:
On the number line:
a) 0.6666666667 scoops per powder
b) 0.625 scoops per powder
Step-by-step explanation:
For the Noah and Andres question:
To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water.
Unit rate = scoops per cup
= 4 Scoops/6 cups
= 2/3 scoops per powder
= 0.6666666667 scoops per powder
Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line?
Unit rate = scoops per cup
= 5 Scoops/8 cups
= 0.625 scoops per powder
Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 555 salamanders, 333 crayfish, and 121212 minnows in her lab. What is \text{P(salamander})P(salamander)start text, P, left parenthesis, s, a, l, a, m, a, n, d, e, r, end text, right parenthesis?
Answer:
1/4Step-by-step explanation:
Given
amount of salamanders, = 5
amount of crayfish = 3
amount of minnows = 12
Total fish = Total outcome = 5+3+12
Total outcome = 20
Since we are looking for the probability of selecting salamanders, our expected outcome will be 5.
Probability = expected outcome/total outcome
Pr( salamanders,) = 5/20
Pr( salamanders) = 1/4
Hence the probability of selecting salamanders, is 1/4
A 30-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 32 m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.
Answer: 11.1 m
Step-by-step explanation:
This can be solved by the Pythagorean theorem where;
c² = a² + b²
c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.
a is the height
c is the length
32² = 30² + b²
b² = 32² - 30²
b² = 1,024 - 900
b² = 124
b = √124
b = 11.1 m
Find the product
-8.4 x–7.6
Answer:
63.84
Step-by-step explanation:
Answer:
63.84
Step-by-step explanation:
Multiply both numbers without the decimal point then move the decimal point 2 places to the left.
HELP! ONLY HAVE 4 MINS!!!!!!1
Answer:
the slope for a is [tex]\frac{12}{3}[/tex] but in simplest form 4
the slope for b is 0
Step-by-step explanation:
hope this helped :-)
Whats 9 less than the product of 9 and a number
Answer:
9x-9
Step-by-step explanation:
9 and a product of a number is 9x, and less 9 is 9x-9.
Hope this helps :D
im lost on this one
8 1/3 % of 64
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
I think it is 7.86.
Step-by-step explanation:
You should change 8 1/3% to a decimal that equals 8.33333333333. I then had took 64/8.33333333333 which equaled 7.86.
If this helped please feel free to click the thanks button below. Thank you! :-D
Find the number of groups and the number left over. 24 - 5 = with left over 24-5= with left over (Type whole numbers.)
Answer: 19 is my answer 19 is left over
The perimeter P of a rectangle is calculated using the formula P = 2(l + w), where l and w are the length and width of the rectangle. Rearrange the formula to make length (l) the subject.
Answer:
P = 2(l + w)
P = 2l + 2w
. f(-5) = 5, f (0) = 10
Answer:
On the screenshot (y=x+10)
Step-by-step explanation:
Have a great day!
A and b are similar shapes the area of shap a is 200cm
What is 23x10⁵ im struggling to do this who can help
Answer:
if your doing it in scientific notation it would be 2.3x10 with the lil 6 above the 10
Step-by-step explanation:
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Standard form :
[tex]2,300,000[/tex]
_________________________________
Science notation :
[tex]2.3 \times {10}^{6} [/tex]
_________________________________
Science E notation :
[tex]2.3 \: E6[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
M is the midpoint of AD.
Triangles A B M and D C M are connected at point M. Sides A B and C D are congruent. The length of side B M is 3 x + 6 and the length of corresponding side M C is 4 x minus 1.
What value of x will make triangles ABM and DCM congruent?
3
5
7
9
Answer:
7
Step-by-step explanation:
ΔABM and ΔDCM
4x - 1 = 3x + 6
4x - 3x = 6 + 1
x = 7
Answer:
C. 7
Step-by-step explanation:
Find the diagram to the question attached. Two congruent triangles has all its sides to be equal. This means that the sides of ΔABM will be equal to that of ΔDCM (SSS rule).
Given
BM = 3x+6
MC =4x-1
Since both triangles are congruent, then BM = MC
Next is to get x;
3x+6 = 4x-1
collect like terms'
3x-4x = -1-6
-x = -7
multiply through by -1
-(-x) = -(-7)
x = 7
Hence the value of x that will make triangles ABM and DCM congruent is 7
Joshep drove his grandmother’s house which is 252 miles away in 3.5 hours. If he continues at the same speed,approximately how long will It take him to drive 315 miles?
Answer:
72 hours
Step-by-step explanation:
I need the answer quickly
I cannot see the text. If you take another picture zoomed in I will answer it.
Answer:
The country Australia had the greatest percentage of its students report being right hand dominant with approximately 86%
Find the 12th term of the geometric ouence 5, 15, 45,...
Answer:
295,245
Step-by-step explanation:
It is always multiplying by 3.
5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98,415, 295245
Answer:
885735
Step-by-step explanation: