[tex](x_1, y_1) = (6,-10),~~ (x_2, y_2) = (3,-13)\\\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-13 +10}{3 -6} =\dfrac{-3}{-3} =1[/tex]
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The diagram shows a cylinder.
8.2 cm
10 cm
The cylinder has radius 8.2 cm and height 10 cm.
The cylinder is empty.
Pam pours 1.5 litres of water into the cylinder.
Work out the depth of the water in the cylinder.
Give your answer correct to 1 decimal place.
Answer:
7.1 cm
Step-by-step explanation:
You want the height of a cylinder of radius 8.2 cm and volume 1500 cm³.
V = πr²h . . . . . formula for the volume of a cylinder
h = V/(πr²) . . . formula solved to give h
h = (1500 cm³)/(π·(8.2 cm)²) ≈ 7.1 cm
The depth of the water is about 7.1 cm.
Explain the differences and similarities of the steps for dividing whole numbers and decimals.
Answer: Comparing a whole numbers and a decimals:
First let’s talk about the similarities of comparing whole numbers and decimals:
=> their place value always matters.
Now, let’s proceed to their differences
=> in comparing whole numbers, we don’t care about the value to the nearest decimal points or the value of ones. We always look at the highest value, not unless the highest values are all the same.
=> In comparing decimals, the value to the nearest decimal points or the tenths place value always matters.
Step-by-step explanation:
the length of a rectangle is 10 meters more than the width. if the perimeter is 72 meters, what are the length and width?
Check the picture below.
Step-by-step explanation:
let's say a is length, and b is width:
a = 10 + b
after this, we can write:
2(a + b) = 72
2(10 + b + b) = 72
2(10 + 2b) = 72
20 + 4b = 72
4b = 72 - 20
4b = 52
b = 52 ÷ 4
b = 13
if b = 13, then a = 10 + b = 10 + 13 = 23
so: a = 23 and b = 13
The figure below is a prism with a right-triangle base.
What is the surface area of the figure?
Help me please
(10 points!!!) AND I’LL GIVE YOU BRAINLIEST IF CORRECT
I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!
Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?
Use the table to answer:
Answer:
of which class is it ?
Step-by-step explanation:
???????.................
What is the remainder of 2021^2022 divided by 337? 30 POINTS PLS HELP!!!!!!!!!!!!!!
Answer:
The remander is 1 hope that helps
Step-by-step explanation:
The remainder is 1 when the expression (2021)²⁰²² is divided by 337.
What is remainder?The amount that remains after division is known as the Remainder. The result of division is a value if a number (dividend) cannot be divided entirely by another number (divisor). The remainder is what is known as this amount.
The given term is,
(2021)²⁰²²
To find the remainder when (2021)²⁰²² is divided by 337,
Firstly, divide 2021 from 337.
The remainder of 2021/337 is 336.
Or the remainder can be written in negative as -1.
So the remainder of (2021)²⁰²² when divided by 337,
(2021)²⁰²²/337 = (-1)²⁰²² = 1
The required remainder of (2021)²⁰²² when divided by 337 is 1.
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x + 6 - 6x + 10
integers
Answer:
-5x + 16
Step-by-step explanation:
I didn't see a equal sign so I assume that x cannot be x = -5/16
So I combined like terms of x and -6x to get -5x as well as +6 and +10 to get 16.
To get my final answer as -5x + 16.
answer this asap please its emergency
Step-by-step explanation:
emergency ? why ? you are in the middle of a game with such an unfair die ?
the probabilty for a number of a regular die is 1/6 (desired cases divided by total possible cases).
the probability to role an even number is therefore 3/6 = 1/2.
that means, even and odd are the 2 possible outcomes.
now, for the unfair die we can see it as if we have now 4 possible outcomes : 3 times an even number, and 1 time an odd number.
so, the probability to roll an even number is 3/4 (and for an odd number 1/4).
now, we roll it twice.
for the sum to be even, we either have to roll 2 even numbers or 2 uneven numbers.
the probabilty is the sum of the both probabilities (it is an exclusive "or" relationship).
the probability to roll 2 even numbers is
3/4 × 3/4 = 9/16
the probability to roll 2 uneven numbers is
1/4 × 1/4 = 1/16
the sum is
9/16 + 1/16 = 10/16 = 5/8
so, E is the right answer.
Multiply: (3x + 2)(4x + 2)
7 x2 + 12 x + 4
12 x2 + 14 x + 4
3 x2 + 4 x + 2
12 x2 + 18 x + 2
Answer:
12x²+14x+4
Step-by-step explanation:
(3x+2)(4x+2)
you will coil, multiply first term from the first bracket with the 1st term of the second bracket, and again with the 2nd term of the second bracket
do the same with the 2nd term of the first bracket, you will get the following
12x²+6x+8x+4
12x²+14x+4
Kevin has copays of $30 per office visit, $150 emergency room without
hospitalization and $250 for hospitalization. He had to go to a physician's office 5 times
this year and went to the ER once with no hospitalization. His medical bills totaled
$2,826. How much did Kevin save by being insured? Make sure you show your
calculations!
Answer:
$2526
Step-by-step explanation:
Kevin had copays of 5 × $30 for the office visits and $150 for the ER visit. His total copay was ...
5×$30 +150 = $150 +150 = $300 . . . . amount Kevin paid
If his bills were $2826, his savings were
$2826 -300 = $2526
Kevin saved $2526 by being insured.
A kayak is originally priced at $130. The online retailer vives a Discount and the kayak is now priced at $65. Enter the porcentaje Discount for the cost of the kayak
Answer:
50% decrease
Step-by-step explanation:
130-65 = 65
65/130 = 0.5
0.5 x 100 = 50
Next, Kevin makes a cylinder-shaped candle. He uses a metal can as a mold. The can has a radius of 6 centimeters and a height of 18 centimeters. How much wax is needed to fill the metal can?
Answer:
Kevin needs approximately 2034.7 centimeters of wax to fill the metal can.
Step-by-step explanation:
To find the how much wax is needed to fill the metal can we have to find the volume of the cylinder in which we use the equation, V = 3.14(r^2)(h)
V = 3.14(r^2)(h)
3.14(6^2)(18)
3.14(36)(18)
3.14(648)
V = about 2034.7 centimeters
When you roast coffee, it loses 12% of its weight. How much fresh coffee do you need in order to get 14 2/25 lb of roast coffee?
Answer:
X - X/12 = 14 2/5 = 72/5 1/12 of X is lost in roasting
(12 X - X) / 12 = 72/5
11 X / 12 = 72/5
11 X = 864 / 5
X = 864 / 55
15.71 lbs handy to use calculator here
Or 864 / 55 = 15 39/55 lbs
Answer:
16 lbs
Step-by-step explanation:
The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 2/3 of what the temperature was at 1 p.m. What was the temperature at 10 a.m. of the substance? Enter your answer as a decimal in the box.
PLS HELP
The temperature of the substance at 10am = 63.95°F
Let the temperature at 10 am be x
The temperature changes by −8.7°F from 10 a.m. to 1 p.m
The temperature at 1 pm = x - 8.7
At 5 p.m., the temperature is 33.5°F
The temperature at 5 pm = 33.5°F
The temperature at 5 pm is 2/3 of what the temperature was at 1 p.m
[tex]33.5 = \frac{2}{3} ( x-8.7 )[/tex]
Solve for x
3(33.5) = 2(x - 8.7)
110.5 = 2x - 17.4
2x = 110.5 + 17.4
2x = 127.9
x = 127.9/2
x = 63.95°F
The temperature of the substance at 10am = 63.95°F
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Which number(s) is/are greater than 125%?
-1.26
0.125
12/5
8/6
Pick 2
12/5 12/5. 12/5 hdhfhd y hh
Which graph represents a proportional relationship?
Answer:
The one shown in the photo
Step-by-step explanation:
A proportional relationship is one in which the relationship increases steadily, which looks like a straight line when graphed. Also, the line should pass through the origin, which is the point (0, 0) on a graph.
The graph shown increases steadily (it's a straight line), and passes through the origin (point 0,0) as well. So, it's proportional. Hopefully that's helpful! :)
use the given circle. Find the length s to the nearest tenth A. 33.5 cm B. 8.4 cm C. 16.8 cm D. 5.3 cm
Answer:
16.8
Step-by-step explanation:
s = ∅ × r
= 2π/3 × 8
= 16/3 * π
= 16.75516
= 16.8
Answer:
C.) 16.8 is your answer
Step-by-step explanation:
Which of the following describes a similarity between a solid and a gas
Answer:
they are both states of matterthey are both made up of atoms, molecules and ionsthey both have volumeSolve for x: -2(x + 3) = -2x - 6
A. 0
B. 3
C. All real numbers
D.No solution
Answer:
D.No solution
Answer:
C
Step-by-step explanation:
-2(x + 3) = -2x - 6 Remove the brackets
-2x - 6 = -2x - 6
Since the left and right sides are equal, any number will work.
If you wind up with a false statement, then there are no solutions.
2x + 4 = 2x + 7 Subtract 2x from both sides.
4 = 7
Can some please help me I will mark u brilliant
Question 2: -4/3
Question 3: -7/20
I need help with this math problem
Answer: The drill will reach -915 feet after 18 days.
Regina ate 25 grapes and 15 cashews. Simplify the ratio of grapes to cashews that she ate.
Answer:
The ratio would be 5 to 3
Step-by-step explanation:
I know this because you would divide the amount of grapes and the amount of cashews by 3 which would equal 5 to 3
The ratio of grapes to cashews that she ate is 5:3.
What is ratio?A ratio is the comparison of two quantities and that can be the comparisons of parts to parts, parts to wholes, and wholes to parts are all examples of ratios.
Given that, Regina ate 25 grapes and 15 cashews.
We need to simplify the ratio of grapes to cashews that she ate.
The ratio = 25/15
= 5/3
Hence the ratio of grapes to cashews that she ate is 5:3.
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Cuál es la altura (h) del velero
Utilizando propiedades de triángulos rectángulos, veremos que la altura h es igual a 4.28m
Lo primero que debemos notar es que tenemos un triangulo rectángulo. En el podemos ver un ángulo de 55°.
El cateto adyacente tiene una longitud de 3m, y queremos obtener la longitud del cateto opuesto.
Podemos usar la relación trigonométrica:
Tan(θ) = (cateto opuesto)/(cateto adyacente)
Reemplazando los valores que conocemos, obtendremos:
Tan(55°) = h/3m
Tan(55°)*3m = h = 4.28m
La altura h del velero es 4.28m
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What is the average rate of change between: x = 1 and x = 2? x = 2 and x = 3? x = 3 and x = 4? x y 1 2 3 4 5 4 8 12
Answer:
The average rate of change between x = 1 to x = 2 is 2, from x = 2 to x = 3 is 4 and from x = 3 to x = 4 is 8.
Step-by-step explanation:
A car is traveling at a speed of 54 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 10 seconds? Do not round your answers.
Use the figure below to find the values of x and y
Answer:
x=40° and y=50°
Step-by-step explanation:
45°+50°+2x+5=180°
100°+2x=180<-- subtract 100 to get x on one side
2x=80
x=40. Thus 2(40)+5 = 85.
85°+55°+x°=180
140°+x=180
x=40°
40°+90°(right angle)=130°, so 180 -130 would equal 50.
y=50°
A 60 cm bamboo is divided in the ratio 4: 2 . What is the length of the longer piece?
Answer:
40
Step-by-step explanation:
what should be added to -1 to get 5/7
Pls answer thiss
Answer:
The answer is 12/7.
Step-by-step explanation:
To get the answer, simply subtract -1 to 5/7
[tex]\frac{5}{7} - (-1)\\[/tex]
Find the least common denominator.
[tex]\frac{5}{7} - (-1) = \frac{5}{7} - \frac{(-7)}{7}[/tex]
= 12/7
To check, add -1 to 12/7.
[tex]\frac{12}{7} + (-1)[/tex]
Find the least common denominator.
[tex]\frac{12}{7} + (-1) = \frac{12}{7} + \frac{(-7)}{7}[/tex]
= 5/7
Shirley is making a map of Main Street, which runs west to east through town. She used the number line shown, where each unit on the number line represents a block of main street and town hall was placed at zero.
After walking Main Street, she noted the following statements in her notebook. The flower boutique is five blocks west of the pet store. The pet store is four blocks east of the bank. The bank is eight blocks west of the hardware store. The hardware store is three blocks east of the bookstore. The bookstore is two blocks east of town hall.
Shirley also made a note to place an empty store in the opposite location of the bank on the number line.
Where should Shirley plot the empty store?
Answer:
3
Step-by-step explanation:
bookstore is two blocks east of town hall: 0+2=2
the hardware store is three blocks east of the bookstore: 2+3=5
the bank is eight blocks west of the hardware store: 5-8=-3
place an empty store in the opposite location of the bank: opposite of -3 is 3
Find the equation of the line which has slope 7 and y-intercept 2. Give your answer in the form y=mx+b
Answer:
y=7x+2
Step-by-step explanation:
Since it is in slope intercept form, you can simply subsitute the m(slope), into 7, and the b(y-intercep) into 2.
Hope it helped!
The equation of the line is y = 7x + 2.
What is the equation of a line?The equation of a line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
m = 7 and c = 2
The equation of a line is,
y = mx + c
y = 7x + 2
Therefore, the equation of the line is y = 7x + 2.
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