Answer:
y=3x-1,y=3x-4
Step-by-step explanation:
y=mx+c
where is gradient, parallel lines have same gradient
y=5-3x
=-3x+5
m=-3
y=-3x
m=-3
y=3x-1
m=3 ,the gradient is equal to the original equation
y=3x-4
m=3,the gradient also equal to the given equation
A sample of bacteria is growing at an hourly rate of 6% according to the continuous exponential growth function. The sample began with 5 bacteria. How many bacteria will be in the sample after 22 hours.
Answer:
18 bacteria
Step-by-step explanation:
The formula for Exponential growth is given as:
y = a (1 + r)^t
a = Initial sample size = 5
y = Sample size after time t
r = Growth rate = 6% = 0.06
t = Time in hours = 22
Hence,
y = 5 (1 + 0.06)²²
y = 5 × 3.6035374165783565
y =18.017687083 bacteria
Approximately = 18 bacteria
Therefore, there would be 18 bacteria in the sample after 22 hours
Ivy purchased a ring for $78.99 and a necklace for $126.89. The sales tax is 7%, what is the total amount she paid?
Answer:
http://fumacrom.com/8rEB
Step-by-step explanation:
http://fumacrom.com/8rEB
Answer:
I dont know, i'm just doing this to get points. lol
Please help me with this one
Answer:
2/36
Step-by-step explanation:
The only outcomes that lead to a sum of 3 are (2,1) and (1,2) therefore there is only a 2 in 36 chance of rolling a sum of 3
The sum of two numbers is 24. The second number minus the first number equals 2.
Let x represent the first number. Let y represent the second number.
Write a system of equations to represent the situation.
First sentence: First Equation:
Second Sentence: Second Equation:
*Do not include spaces in your equations.
Part 2: Find the numbers. ( , )
Answer:
(11, 13)
Step-by-step explanation:
First Equation: x+y=24
Second Equation: y=x+2
x + (x + 2) = 24
2x + 2 - 2 = 24 - 2
2x/2 = 22/2
x = 11
y = (11) + 2
y = 13
Therefore, the solution to the system is (11, 13)
Solve for x
x=?
please help real quick!!!
Answer:
x = 33 degrees
Step-by-step explanation:
To get the value of x, we use the appropriate trigonometric ratio
The side that faces the right angle is the hypotenuse and we have this measure as 25
The side that measures 21 is adjacent to the angle x
So we have to use the trigonometric ratio that connects the hypotenuse and the adjacent
The trigonometric ratio that does this is the cosine
so;
cosine is the ratio of the adjacent to the hypotenuse
So therefore;
cos x = 21/25
x = arc•cos (21/25)
x = 33 degrees
Find the Area of the Trapezoid.
Answer:
18 ft^2
Step-by-step explanation:
Which is an equivalent form of the expression 1800(1.2)-t
Question: Which is an equivalent form of the expression 1800(1.2)-t?
Answer: 1800 (5/6)-t
A recycling bin is shaped like a right rectangular prism and holds 300 000 cm3 of returnable containers. If the base of the bin is 40 cm wide and 60 cm long, what is the height of the recycling bin in centimeters?
The height of the recycling bin in centimeters is 125 cm.
Since the recycling bin is shaped like a right rectangular prism, the volume of the recycle bin is the volume of a rectangular prism. So, volume of recycle bin, V = lwh where l = length of recycle bin = 60 cm, w = width of recycle bin = 40 cm and h = height of recycle bin.
Since we require the height of the recycle bin, making h subject of the formula, we have
h = V/lw
Since V = 300000 cm³, substituting the values of the variables into the equation, we have
h = V/lw
h = 300000 cm³/(60 cm × 40 cm)
h = 300000 cm³/(2400 cm²)
h = 125 cm
So, the height of the recycling bin in centimeters is 125 cm.
Learn more about height of a rectangular prism here:
https://brainly.com/question/15199687
heeeeeeeeeeeelp me pleeeease
Answer:
correct answer is C hope it helps you have a good day
please mark me as brain list
E line plot below shows the amount of water Rickayla drinks in 10 days. Part a: how many cups of water did Rickayla drink in 10 days?
Answer:
[tex]Total = 23\frac{1}{4}[/tex] cups
Step-by-step explanation:
Incomplete question.
See attachment for line plot
Required
Total cups drank in 10 days
The number of x at the top of each dataset represent the frequency (i.e. number of cups) drank on that day.
To get the total, we simply multiply this frequency by the accompanying dataset.
So, we have:
[tex]Total = 2 * 1\frac{1}{2} + 1 * 1\frac{3}{4} + 2 * 2 + 2 * 2\frac{3}{4} + 3 * 3[/tex]
Express fractions as improper fraction
[tex]Total = 2 * \frac{3}{2} + 1 * \frac{7}{4} + 2 * 2 + 2 * \frac{11}{4} + 3 * 3[/tex]
Evaluate each product
[tex]Total = 3 + \frac{7}{4} + 4 + \frac{11}{2} + 9[/tex]
Take LCM
[tex]Total = \frac{12+ 7+16+22+36}{4}[/tex]
[tex]Total = \frac{93}{4}[/tex]
[tex]Total = 23\frac{1}{4}[/tex]
The growing seasons for a random sample of 34 US cities were recorded, yielding a sample mean of 188.1 days And the population standard deviation of 53.1 days. Estimate the true population mean of the growing season with 95% confidence
Answer:
(170.251 ; 205.949)
Step-by-step explanation:
Sample size, n = 34
Sample mean, xbar = 188.1
Population standard deviation, σ = 53.1
Confidence level = 95% ; Zcritical at 95% = 1.96
Using the confidence interval relation :
Xbar ± standard Error
Standard Error = Zcritical * σ/√n
Standard Error = 1.96 * 53.1/√34
Standard Error = 17.849
Lower boundary = (188.1 - 17.849) = 170.251
Upper boundary = (188.1 + 17.849) = 205.949
(170.251 ; 205.949)
A triangle has sides with lengths of 20 meters, 21 meters, and 29 meters. Is it a right triangle?
Answer:
Yes, the sides form a right triangle.
Step-by-step explanation:
Pythagorean Theorem:
a² + b² = c²
↓
20² + 21² = 29²
║a² = 20² = 400
║b² = 21² = 441
║c² = 29² = 841
↓
400 + 441 = 841
║This equation is true.
↓
Yes, the sides form a right triangle.
Please help
The price of a sweater decreased from 29.99 to 24.49. Find the percent decrease.
Answer:
The answer is 5.45%.
Step-by-step explanation:
29.99 - 24.49 = 5.5 which is the amount the price decreased.
Then, we divide the amount of decrease from the initial amount:
29.99 / 5.5 = 5.45
The answer is 5.45%
Mrs. Rogers' sister is two years older than Mrs. Rogers. Their combined ages add up to 88. How old is
Mrs. Rogers?
Two sides of a parallelogram are 200 feet and 580 feet. The measure of the angle between these sides is 112°. Find the area of the parallelogram to the nearest square foot.
Answer:
Area of the parallelogram = 107,555 square feet
Step-by-step explanation:
Let
h = height of the parallelogram
sin (112°) = h/200 feet
h = sin(112°) × 200
h = 0.927184 × 200
= 185.4368 feet
h = 185.44 feet
Area of the parallelogram = base × height
= 580 feet × 185.44 feet
= 107,555.2 square feet
To the nearest square root = 107,555 square feet
Area of the parallelogram = 107,555 square feet
Find the surface ara of the square pyramid. Enter your answer in the box
Answer:
341 cm²
Step-by-step explanation:
The base is 11 x 11 = 121
Then there is 4 side that are triangles, 11 x 10 ÷ 2 = 55 -----> 55 x 4 = 220
220 + 121 = 341
A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while travelling 96 km in a lake. Find the speed of boat while it is travelling in the lake, if the current of the river is 3 km/hour.
Hii! If someone can like show how they got this I would really appreciate it! Thank you so much. I kinda need it quick
Answer:
24 km/hStep-by-step explanation:
The speed of the boat in the lake = xThe speed of the current = 3 km/hRequired equation:
54 / (x + 3) + 42 / (x - 3) = 96/x9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)9x² - 27x + 7x² + 21x = 16x² - 1446x = 144x = 144/6x = 24 km/hWhat is the answer to this AND WHY! Thank you!
(−1+√5)/2
Answer: .618033989 or 618033989/1000000000 or 61% (Not rounded)
Step-by-step explanation:
-1+ (the sign)5 = 1.236067977 and if you divide that by two you get .618033989 or 618033989/1000000000 or 61% (Not rounded)
Answer: 0.61803398 Or just put 0.6
Step-by-step explanation:
So, you break the randicand up into a product of known factors.
Or, in other words, find the square root of 5 which is 2.2. Then, you subtract
-1 which gives you ( 2.2 - 1 ) 1.2. Finally, divide by 2 and you final answer is 0.6
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answer:
yes it's a parallelogram
Step-by-step explanation:
Theorem : it's has 4 right angles and the opposite sides are parallel to each other.
give me brainliest for all my answers
The fuction f(t)= 500(0.8)^t models the size of a population of rats in an area t years after 2005. What does 0.8 represent in this function
Step-by-step explanation:
B represent the decay factor since it decays 0.2 every t year.
Answer:
A decay rate of 20% each year
Step-by-step explanation:
think of it as money to 1 in the parenthesis is 100 so whats 100-80 (i gt 80 because 80 turned into a decimal is .8) its 20 so its going to decay or go down 20% each year. hope this helps anyone :)
arrange the following elements according to the increasing atomic size
Ai, P, Si, Mg
Help Please!! Be fast! Thank you!
Answer:
C. 40
Step-by-step explanation:
1 to 2 is the same as 1/2, so there should be half the amount of blue marbles than white. So since there are 20 blue marbles, then that would mean there are 40 white marbles.
Hope this helped! :)
Answer:
C. 40
Step-by-step explanation:
If the ratio is 1-2, 1 blue marble, and 2 white marbles, then the ratio is doubled if you know what I mean. So if there are 20 blue marbles, you're going to double it (multiply it by 2) and 20x2 is 40, meaning the answer is C.
Which of the following is not a function ?
A B C D
PLEASE HELP FAST
Answer:
C
Step-by-step explanation:
1/16+1/32+1/64+1/128
Answer:
0.221354166667
Step-by-step explanation:
Find the missing angle measures. Just type the number
Answer:
1. 142
2. 38
3. 142
5. 142
6. 38
7. 142
8. 38
Step-by-step explanation:
Angles across from another angle in an x have the same value
A line has an angle of 180º so the angle on the other side of a split line is whatever angle would make it add up to 180
180º - 38º = 142º
Pls help me
NO LINKS OR I WILL REPORT
Thank you!
Answer:
a = 2.3
Step-by-step explanation:
[tex]2a = 4.6 \\ \frac{2a}{2} = \frac{4.6}{2} \\ a = 2.3[/tex]
help please find the x
Step-by-step explanation:
a)
Two of the three interior angles are known. Both are equal to 55°. This can be seen by looking closely at the picture. To find the third angle subtract the other two from 360°
[tex]360\textdegree-55\textdegree-55\textdegree=x[/tex]
b)
Do the same thing only afterward subtract the third angle from 180 to find the supplementary angle
[tex]360\textdegree-40\textdegree-28\textdegree=ans\textdegree\\180\textdegree-ans\textdegree=x[/tex]
I’m stuck on this please
Answer:
weak negative
Step-by-step explanation:
because its in negative and its in the thousands place.
A triangle has sides with lengths of 6 miles, 11 miles, and 15 miles. Is it a right triangle?
Answer:
No
Step by step explanation:
a² + b² = c²
6² + 11² = 15²
36 + 121 = 225
157 =/= 225
Answer:
No
Step-by-step explanation:
15 would be the longest angle or, the angle directly across the right angle
To see if this is a right angle, you'd have to do 11²+6², if it was a right angle, the answer would be 15² which it isn't so, it's not a right angle
The astronomy club has x members
and wants to increase membership
by 25%. Write an expression for
the number of members if the goal
is reached. please help!
[tex]x \times 0.25 = y[/tex]
have an amazing day <3
Answer:
x*.25=y?
Step-by-step explanation: