Answer:
3.2
Step-by-step explanation:
Your input: find the slope given two points P=(2,10) and Q=(−3,−6).
The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by
m=y2−y1/x2−x1
We have that x1=2, y1=10, x2=−3, y2=−6.
Plug the given values into the formula for slope: m=(−6)−(10)/(−3)−(2)=−16/−5=16/5.
Answer: the slope of the line is m=16/5≈3.2.
Richard and Teo have a combined
age of 23. Richard is 2 years older than twice Teo's age. How old are Richard and
Teo?
Answer:
Richard= 16 years old
Teo= 7 years old
Step-by-step explanation:
Let Richard's and Teo's age be R and T years old respectively.
[tex]\textcolor{steelblue}{\text{Form 2 equations based on given information:}}[/tex]
R +T= 23 -----(1)
R= 2T +2 -----(2)
[tex]\textcolor{steelblue}{\text{Solving by substitution:}}[/tex]
Substitute (2) into (1):
(2T +2) +T= 23
3T +2= 23
3T= 23 -2
3T= 21
T= 21 ÷3
T= 7
Substitute T= 7 into (2):
R= 2(7) +2
R= 14 +2
R= 16
Thus, Richard is 16 years old and Teo is 7 years old.
Brainliest if correct
Answer:
6.1291 < 8.3 < 8.308 < 8.38
Step-by-step explanation:
Start by looking at the whole numbers.
6 < 8
Since the only whole numbers are 6 and 8, we can rule out that the smallest number, or with the least value, is 6.
Next, look at the tens place.
Since they are all 8.3--, we cannot find the next one until we look at the hundredths place.
Next, look at the hundredths place.
Keep in mind that 8.3 is the same as 8.300
There is 8.30 < 8.38 and 8.308 <8.380
Now we know the lowest value and the highest value! (6.1291 and 8.38)
Between the last two, let's figure out where they place
Look at the thousandths place.
8.300 < 8.308
Hence, the answer provided above!
6.1291 < 8.3 < 8.308 < 8.38
Hope this helps! :)
can someone help me with this I already answered half of all of them but I need to make sure It's right?
Answer:
of 34.576:
34.576 = (3 * 101) + (4 * 100) + (5 * 1/101) + (7 * 1/102) + (6 * 1/103)
34.576 = (3 * 10) + (4 * 1) + (5 * 1/10) + (7 * 1/100) + (6 * 1/1,000)
34.576 = 30 + 4 + 5/10 + 7/100 + 6/1,000
34.576 = 30 + 4 + 0.5 + 0.07 + 0.006
Step-by-step explanation:
That is 34.576 in expanded form, so know you can know which is correct
z varies jointly with x and y. If x = 2, y = 3, and z = 4, write the variation equation and find z when x = −6 and y = 2.
Step-by-step explanation:
that means
z = k×x×y
4 = k×2×3 = k×6
k = 4/6 = 2/3
so, when x = -6 and y = 2, we get
z = 2/3 × -6 × 2 = 2 × -2 × 2 = -8
Carly is in charge of bringing juice for the class party. Her class has 24 students and 1 teacher. She estimates that each person will drink 400 milliliters of juice. To make sure she has enough, she also wants to bring an extra liter of juice. How many liters of juice should Carly bring in all?
Answer:
10,000
Step-by-step explanation:
if it's including the teacher then it should be 10,000
find the measure of mousing angle and justify your answer with postulates and theorems.
Answer:
Step-by-step explanation:
By the same-side interior angles theorem,
Write the rate in lowest terms.
During a bad storm there was 2 in of rain in 4 hr.
The rate in lowest terms is_____?
Answer:
1/2 in/hr
Step-by-step explanation:
2 in / 4h = 1/2 inch per hour
What is the total height of the plants that measured 1
1/8 and
1/4?
5. Gavin makes a homemade cleaner using į cup vinegar
for every 2 quarts of water.
Answer:
For every 2 quarts of water, ¹/₂ cup of vinegar is used.
⇒ To find the amount of vinegar, divide the number of quarts by 4.
⇒ To find the number of quarts, multiply the amount of vinegar by 4.
4 qt water = 4 ÷ 4 = 1 cup vinegar
1¹/₂ cups vinegar = 1¹/₂ x 4 = 6 qt water
8 qt water = 8 ÷ 4 = 2 cup vinegar
Plot the points on the graph (see second attached image).
Draw a line through the points.
Find 3 along the x-axis and trace up to the line. Trace along to the y-axis.
Therefore, Gavin would need to use 12 quarts of water with 3 cups of vinegar.
A square is inscribed in a circle. How much larger is the area of the circle than the area of the square?
ratio form
Answer:
π/2 : 1 or π : 2
Step-by-step explanation:
In the attachments I have a picture of a square inscribed in a circle.
Call the side of the square a. Therefore, the area of the square is a^2.
We can also see that the diagonal of the square is the circle's diameter.
Using the Pythagorean Theorem we find that the diagonal/diameter of the circle is a√2. Thus the radius is that divided by 2, which is (a√2)/2.
We also know that the formula for a circle's area is πr^2, so the area of the circle is π((a√2)/2)^2 --> π(a^2)(2)/4 --> π(a^2)/2.
Hence the ratio of the circle to the square is π(a^2)/2 to a^2 which is π/2 to 1 or π to 2.
I need someone to solve this ASAP.
Answer:
320 ft² (nearest whole number)
Step-by-step explanation:
Given:
height of fence post = 8 ftdiameter of fence post = 1 ft ⇒ radius = 0.5 fttotal number of posts = 12π = 3.14Surface area of a cylinder = 2πr² + 2πrh
⇒ SA of one fence post = 2 · 3.14 · 0.5² + 2 · 3.14 · 0.5 · 8
= 1.57 + 25.12
= 26.69 ft²
As there are 12 fence posts,
Total paint needed = 12 × 26.69
= 320.28 ft²
= 320 ft² (nearest whole number)
Help help help help help help help
Answer:
14 :)
Step-by-step explanation:
28/2 = 14
Have an amzing day!!
Please rate and mark brainliest!!
The sum of 9 times a number and 8 is 3
Answer: 9n+8=3
Step-by-step explanation:
Let's break this down
"sum" refers to addition so we must be adding 9 times a number and 8
So far we have "9 times a number + 8"
We can use the variable, n to represent "a number"
Now we have "9 times n +8"
"times" refers to multiplication, so we should multiply 9 and n
Now we have "9n+8"
"is 3" simply means that this will equal 3
So now we have the equation 9n+8=3
The total cost f(x), in dollars, for renting a bowling lane for x hours is shown:
f(x) = 2x + 12
What does f(14) represent?
A. The number of dollars it costs to rent the bowling lane for 14 hours
B. The number of games you can bowl for a cost of $14
ting
C. The number of games you can bowl in 14 hours
D. The number of hours the bowling lane can be rented for a cost of $14
Adam is purchasing a new television that costs $2,187.96 after tax. He borrowed the money from his parents and must pay back the full amount plus simple interest at the rate of 3.5%. What is the interest he will pay if he takes 2 years to pay his parents back? (Include Decimal with the cents; No Commas)
Using simple interest, considering the parameters stated in the exercise, it is found that he will pay an interest of $153.16.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of interest after t years in is modeled by:
I = Prt
In which:
P is the initial amount.r is the interest rate, as a decimal.In this problem, the parameters are given as follows:
P = 2187.96, r = 0.035, t = 2.
Hence, the interest paid will be of:
I = Prt = 2187.96 x 0.035 x 2 = $153.16.
More can be learned about simple interest at https://brainly.com/question/25296782
Simply the expression 3(2y - 8) - 2y(5-y)
Answer:
-4y - 24 + 2y²
Step-by-step explanation:
1. Simplify the distributive properties
⇒ 3(2y - 8) - 2y(5 - y)
⇒ 6y - 24 - 10y + 2y²
2. Combine like terms
⇒ 6y - 24 - 10y + 2y²
⇒ y(6 - 10) - 24 + 2y²
3. Simplify the expression
⇒ y(6 - 10) - 24 + 2y²
⇒ -4y - 24 + 2y²
Help me plssssssssssss
Answer:
DC=12, AD=5, DB=13, 90 degrees
Step-by-step explanation:
Hope this helps!!!
Let me know if you want an explanation!
Write the equation of the trigonometric graphs.
Answer:
[tex]2 \cos(4x) [/tex]
Step-by-step explanation:
The highest and lowest value is 2 and -2 respectively so the amplitude is 2.
That also means the vertical translation is 0.
The graph is reaches it max every pi/2 units so the period is
pi/2.
Since the graph intersects a non zero value at 0, it will be the cosine function.
Step 2: A cosine function is
[tex]a \cos(b(x - c)) + d[/tex]
where a is the amplitude
[tex] \frac{2\pi}{ |b| } [/tex]
is the period
C is the horinzontal shift
d is the vertical shift
We know a is 2
D is 0.
To find b,
[tex] \frac{2\pi}{b} = \frac{\pi}{2} [/tex]
[tex]b = 4[/tex]
So as of right now we have
[tex]2 \cos(4x) [/tex]
Answer(s):
[tex]\displaystyle y = 2sin\:(4x + \frac{\pi}{2}) \\ y = 2cos\:4x[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{8}} \hookrightarrow \frac{-\frac{\pi}{2}}{4} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{2}} \hookrightarrow \frac{2}{4}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{2}} \hookrightarrow \frac{2}{4}\pi \\ Amplitude \hookrightarrow 2[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2sin\:4x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{8}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{8}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{8}} = \frac{-\frac{\pi}{2}}{4}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2sin\:(4x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [\frac{5}{8}\pi, 0],[/tex]from there to [tex]\displaystyle [\frac{\pi}{8}, 0],[/tex]they are obviously [tex]\displaystyle \frac{\pi}{2}\:unit[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \frac{\pi}{2}.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Write the Equation of the conic.
12. A circle with endpoints of a diameter at(1, -3) and (1,3).
Need help please thanks
Answer:
(x² -1) + y² = 9
Step-by-step explanation:
diameter=6 so radius means 6/2=3 (thus,radius²=3²=9)
centre (1 and midpoint of diameter is at y=0, so 1,0)
Consider an experiment of tossing an unbiased coin three times. What is the probability of obtaining four heads?
Answer:
0.0625
Step-by-step explanation:
the probability of getting 4 heads in a row is 0.5^4
answer is 0.0625 or 1/16
What's the area of this figure?
Answer:
58.5
Step-by-step explanation:
the area for a square is l x l so 9
the area for a rectangle is l x w so 33
the area for a rectangle is l x w /2 so 33 /2 = 16,5
so after adding them all up you get 58.5
mark must at least 32 units of vitamin a 10 units of vitamin b and 55 units of vitamin c daily he can choose between pill #1 which contains 8 units of a 1 unit of b and 2 units of c or pill #2 which contains 2 units of a and 1 unit of b and 7 units of c pill #1 cost $0.15 and pill #2 cost $0.35 how many of each pill should he buy in order to minimize his cost?
He buys blank of pill #1 and blank of pill #2
the minimum cost of $
PLEASE HELP ASAP!!! IM STUCK ON THIS
Answer:
Pill 1 costs 25e, and pill 2 costs 75e. Complete parts a and below. An a. How many of each pill should he buy in order to minimize his cost? What is the minimum?
Step-by-step explanation:
A baker has 3 pounds of dried fruit. Each batch of a recipe she is making uses 1/2 pound of the fruit. How many batches can she make?
cos(theta)+1 / tan^2(theta) = cos(theta) / sec(theta) - 1
The temperature at 1:00 p.m. The temperature at 1:00 p.m. on Tuesday was -13°C. There was an increase of 6º per
hour starting at 1:00 p.m. Which of the following best represents the Celsius
temperature n hours after 1:00 p.m. on Tuesday?
A. -13 + bn
B. -13 - 6n
C. -13n + 6
D. -13n - 6
So
Equation in slope intercept form
y=mx+by=6n+(-13)y=6n-13Option A
A right square pyramid has a volume of 12 cubic centimeters. If the height remains fixed but the sides of the base are multiplied by 3, what is the volume of the new pyramid?
A. 36 cm³
B. 48 cm³
C. 108 cm³
D. 72 cm³
Answer:
36 cm^3
Step-by-step explanation:
Because you need to multiply 12x3 giving you 36.
Answer:
its a
Step-by-step explanation:
i took the test
Write an equation of the line that passes through the points (1, -6) and
(5, -6).
Answer:
Step-by-step explanation:
Hello ;
y= -6
Kevin made 4 identical necklaces each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.60. If the beads cost a total of 9.20 how much did each pendant cost
Find the measure of the red arc or chord in ⊙C
Answer: 75
Step-by-step explanation:
The measure of the red arc or chord is 75 degrees
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
From the given figure we observe that ∠ACB is vertical angle of ∠ECD
∠ECD = 75 degrees
∠ECD = ∠ACB as they are vertical angles
∠ACB = 75 degrees
∠ACB is the central angle.
The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
So measure of arc AB is 75 degrees
Hence, the measure of the red arc or chord is 75 degrees
To learn more on Circles click:
https://brainly.com/question/11833983
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Kiara and Mia went to a county fair. They each paid the same admission fee but they were in a different number of rides. Each ride costs the same the total amount they each spent is shown in the table
let's take admission fee= z
8z+11z=17.50+21.25
19z=38.75
z=38.25/19
z=2.4 (aprox)
Or In case of Kiara 17.50 amount paid in 8 rides
.so 1 ride=17.50/8
=2.1875
same In case of mia
so 1 ride=21.25/11
=1.9318.
but, they are not match so there is problem in your Questions.