Answer:
y=2x+6
Step-by-step explanation:
We use this following formula to find the equation:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
Now, we substitute the values in [tex]y_{1}[/tex] and [tex]x_{1}[/tex] :
[tex]y-8=2(x-1)[/tex]
Distribute the 2 inside the parentheses:
[tex]y-8=2x-2[/tex]
Now add 8 to both sides:
[tex]y=2x+6[/tex] is your answer.
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
y=2x-1
2=slope
-1=y intercept
NOTE: parallel lines have the same slope
and we put the point (1,8) into y=mx+b with (x,y)
8=1m+b
now we put in 2 for the slope
8=1(2)+b
6=b
2=m
now insert that back into y=mx+b
y=2x+6
and that is the line that is parallel to y=2x-1 and passes through (1,8)
Hope that helps :)
3/5 + 7/8 + 3/10
please help
Answer:
soln,
3/5+7/8+3/10
3×8/5×8+7×5/8×5+3×4/10×4
24/40+35/40+12/40
24+35+12/40
71/40
What's the greatest common factor 25x^2 and 100x^4y^2
Answer:
I D K
Step-by-step explanation:
find the volume of the 2 dice if the length of the base of the cube is 4cm
A) 64cm cubed
B) 96cm cubed
C) 108cm cubed
D) 128cm cubed
Answer:
I think the answer is A 64cm cubed
O There were 9 bags of
candy donated for the
neighborhood party.
Each bag contained
245 pieces. How much
candy did they have
for the party?
What is the measure of the angle supplementary to a 47.5 degree angle?
137.5
52.5
42.5
152.5
Answer:
132.5 degrees. Check to see if there is missing information in the question or any mistakes.
Step-by-step explanation:
Supplementary angles = 180 degrees
180 - 47.5 = 132.5
Hilary walked 18 yards from her house to the library. Then she walked 288 feet to the post office. What is the total distance in yards Hilary walked? Use the conversion chart below to solve.
Answer:
37 yards
Step-by-step explanation:
Given data
Distance from house to the library= 18 yards
Distance from the library to the post office= 288 feet
Total distance in yards, first let us have all units to yards
288ft to yard= 96 yards
Hence the total distance in yards is
=18+19
=37 yards
The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?
Answer:
just interest = 251,550. Plus loan = 446,550
Step-by-step explanation:
195,000 x 0.043(interest as a decimal) = 8385 per year.
8385 x 30(years) = 251,550
The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.
What is compound interest?Compound interest is applicable when there will be a change in principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that
the principle amount of $195000
The rate of interest is 4.3%
Time period 30 years.
By compound interest formula
A = P × [tex](1 + 0.00r)^{n}[/tex]
where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.
A = $195000[tex](1 + 0.043)^{30}[/tex]
A = $689546.985
For more information about compound interest
https://brainly.com/question/26457073
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The rent for an apartment was $6,600 per year in 2012. If the rent increased at a rate of 4% each year thereafter, use an exponential equation to find the rent for the apartment in 2021
Answer:
$9,393.78
Step-by-step explanation:
Using the equation:
A = P(1+r)^t
Where,
A = final amount
P = initial amount = $6,600
r = rate of increase = 4% = 0.04
t = time in years = 9 years (2012-2021)
A = 6,600(1 + 0.04)^9
= 6,600(1.04)^9
= 6,600(1.4233)
= 9,393.78
A = $9,393.78
What is the sample space for a spinner with four equal sections, numbered 1 to 4?
1, 2, 3, 4
4-1. 4-2. 4-3. 4-4
1-1,1-2, 1-3, 1-4
1, 2, 3, 4, 5
Answer:
the answer is 1-1, 1-2, 1-3, 1-4
Step-by-step explanation:
Help me please!!! ...................
........
Answer:
P = P (1 + r / n) ^ rt
Step-by-step explanation:
64 over 81= 8 over 9 what is the exponent
Answer: 64/81=8/9 is that what you trying to say. O and the answer is False
Step-by-step explanation: Hope this help :D
Find the sum of all the two-digit numbers that divide 170 with a remainder of 5.
WILL MARK BRAINLIEST IF ITS RIGHT!!! PLEASE HELLPP!!!!!
Answer:
114
Step-by-step explanation:
To find - Find the sum of all the two-digit numbers that divide 170 with a remainder of 5.
Proof -
The 2 digit number is 11
170 = 11(15) + 5
The two digit number is 15
170 = 15(11) + 5
The two digit number is 33
170 = 33(5) + 5
The two digit number is 55
170 = 55(3) + 5
∴ we get
The two digit numbers are
11, 15, 33, 55
Their sum is equals to
11 + 15 + 33 + 55 = 114
You invest $32,000 in an account that earns 5.75% interest compounded yearly. What is
the total amount of money you will have in the account after 20 years if you never
deposit any additional funds?
Answer:
$97,894.33.
Step-by-step explanation
What is the area of the triangle?
24
7
25
units2
(6/-7)/(3/11)
6/-7 divided by 3/11
Answer:
-22/7
Step-by-step explanation:
To divide fractions, we multiply by the reciprocal:
(6/-7)/(3/11)
(6/-7)(11/3)
66/-21
22/-7
-22/7
Therefore, your simplifed answer is -22/7
Answer:
36/49
Step-by-step explanation:
108/49/3
=108/147
=36/49
• What is the diameter of the circle?
What is the circumference of the circle
What is the area of the circle
Answer:
Radius = r
Diameter = 2r
Circumference = 2πr
Area = πr²
a diameter of a circle is a line drawn through the center of a circle.
PLEASE HELP due in a few hours!!
Answer:
75 meters²
Step-by-step explanation:
4 cm= 5 m
12 cm= 15 m
15×5=75
Area of Patio=75 m²
what is the approximate radius of a sphere with a volume of 900 cm squared
A 12 cm
B 36 cm
C 18cm
D 6cm
Answer:
about 5.99 or D. 6 cm
Step-by-step explanation:
you can use this formula
[tex]V=4/3 * \pi *r^{3}[/tex]
Give some memes please
Answer:
oh no homework not done
Step-by-step explanation:
mom:
In a particular region, 6% of the population is thought to have a certain disease. A standard diagnostic test has been found to correctly identify 91% of the people who have the disease. However, the test also incorrectly diagnoses 8% of those who do not have the disease as having the disease (in other words, the person does not have the disease but the test tells them that they do). A randomly selected person in the region is tested for the disease. (a) What is the probability the test comes back positive
Answer:
The positive predictive value ≈ 30.012%
Step-by-step explanation:
(a) The given percentage of the people in the region that have the disease, P(D) = 6% = 0.06
The percentage people correctly identified as having the disease by the standard diagnostic test = 91%
The percentage of people incorrectly identified as having the disease by the standard diagnostic test, P(T + |H) = 8%
Therefore, the sensitivity of the test, P(T + |D) = 0.91
The specificity of the test, P(T - |H) = 1 - 0.08 = 0.92
Therefore, the probability that a person is healthy, P(H) = 1 - 0.06 = 0.94
Therefore, in a population of 1,000 people, 60 people have the disease, with a sensitivity of 91%, the test will correctly pic 0.91×66 = 60.06 people correctly with the disease and 0.91 × 940 = 855.4 people without the disease
The number of non-diseased that test positive by the test is 0.08 × 1000 = 80 people which are false positives
Therefore, the number of diseased diagnosed as negative is 0.08 × 60 = 4.8
Therefore, we have;
[tex]\begin{array}{cccc}&Deseased&Non-diseased& Diseased + Non-diseased\\Test \ +ve&60.06&80& 140.06\\Test \ -ve&4.8&855.4&\end{array}[/tex]
The positive predictive value = Diseased +ve/(Diseased +ve + Non-diseased +ve)
[tex]The \ positive \ predictive \ value = \dfrac{Diseased +ve}{Diseased +ve + Non-diseased +ve} \times 100[/tex]
Therefore;
The positive predictive value = 60.06/(60.06 + 140.06) × 100 ≈ 30.012%
Urgent !!!! Can someone please help me
Answer:
The answer is D
Step-by-step explanation:
They are using 135 times the weeks, but the car already had 100 miles on it to start. Juan buys a car that has 40 miles originally on it and he drives it 150 miles per week. So, the word problem is D
What is the value of x? i will give brainliest please help
Answer:
I completely forgot how to do this I'm sorry
Step-by-step explanation:
Help! Will give brainliest and 10 points!
Answer:
-3a^2 - 6a - 10
Step-by-step explanation:
You are subtracting 10a^2 + 6a + 2 from 7a^2 - 8.
You can set it up like the problem shows you, and subtract each term in the second line form a like term in the top line.
7a^2 -8
(-) 10a^2 + 6a + 2
-----------------------------
-3a^2 - 6a - 10
Answer: -3a^2 - 6a - 10
Sally had some marbles. After buying 12 more marbles, she had 25 marbles. How many marbles did Sally have before she bought more?
Answer:
13
Step-by-step explanation:
25 - 12 = 13
Answer:
13
Step-by-step explanation:
12 + 13 = 25 or 25 -12 = 13
Work out
5.2
% of
628.55
km
Give your answer rounded to 2 DP.
I need the answer fast please !
Answer:
30
Step-by-step explanation:
Angles on a straight line are equal to 180°
180°-120°= 60°
Sum of Co interior angles are equal to 180°
180°-60° =120°
90°+60°+ x = 180°
((180° - 90° - 60°= 30°))
The Royal Fruit Company produces two types of fruit drinks. The first type is 30% pure fruit juice, and the second type is 80% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 90 pints of a mixture that is 35% pure fruit juice?
Answer: I- 81 pints, II-9 pints
Step-by-step explanation:
Given
The first type of juice has 30% pure Juice
The second type of juice has 80% pure Juice
The final mixture has 95 pints of 35% pure juice
Suppose we take x pints from the first Juice
So, the second Juice contributes 90-x
for 35% content
[tex]\Rightarrow 35=\dfrac{x\times 30+(90-x)80}{90}\\\\\Rightarrow 3150=30x+7200-80x\\\\\Rightarrow 50x=4050\\\Rightarrow x=81\ \text{pints}[/tex]
First contributes 81 pints. second contributes 9 pints
Carrie sewed a square blanket with an area of 225 in^2
What is the length of each side of the blanket?
A. 56.25 in
B. 15 in
C. 112.5 in
D. 10 in
Answer:
The answer is A 56.25
Step-by-step explanation:
Since a square has 4 sides, divide 225 by 4 to get 56.25. To check your answer multiply 56.25 x 4 to get 225 in^2.
Hope this helps! Pls mark Brainliest!
Answer:
a.56.25
Step-by-step explanation:
Sergio ate 3.5 cookies. Each cookie contained 5.7 grams of sugar. How many grams of sugar did Sergio eat?
| 50 Points | Please give explanation | Reporting false answers | Giving correct brainliest
Answer: answer is D
Step-by-step explanation:
because science is more important than life