The linear equation that shows the relationship between the number of hours it has been snowing, x, and the total snow cover in centimeters, y is given by:
y = 2x + 4
What is a linear function?A linear function is modeled by:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of a function.In this problem:
Bear Valley already had 4 centimeters of snow cover when a snowstorm moved in, hence b = 4.The storm is increasing the amount of snow cover by 2 centimeters per hour, hence m = 2.Thus, the equation is:
y = 2x + 4
More can be learned about linear equations at https://brainly.com/question/24808124
14 Aditi, Becky and Calli collect coins.
Aditi has 6 more coins than Becky.
Calli has 1 less coin than Aditi.
Altogether they have 71 coins.
How many coins do they each have?
Show all your working.
Aditi 6. callie 5. 71-11=60
Write the
equation
of the line In
Slope-Intercept
Form.
Type your
answer here.
Answer:y=2x+3
Step-by-step explanation:
The slope intercept form is y=mx+b
m equals to slope
b equals the y-intercept
the slop of this equation is 2
The y-intercept is at (0, 3)
y=2x+3
Trigonometry please help!
Answer:
the first one
Step-by-step explanation:
Solve for v
5v^2 +21v=-4
Answer
=-15
v=-4
Step-by-step explanation:
0.000000000000000000000000000000000000
a solid triangular prism has a height of 12 inches. the triangular base of this prism is shown below. what is the surface area, in square inches, of this prism?
The surface area of the triangular prsim is 290.4 in² and the right option is B. 290.4 in².
What is surface area?Surface area is the space occupied by a two-dimensional flat surface is called the area. It is measured in square units.
To calculate the surface area of the triangular prism, we use the formula below.
Fromula:
S.A = (a+b+c)L+bh.................... Equation 1Where:
S.A = Surface area of the prisma , b, c = Three sides of the base triangle respectively.h = Height of the triangular baseL = Lenght of the prismFrom the question,
Given:
L = 12 ina = 5 inb = 9 inc = 7.2 inh = 4 inSubstitute these values into equation 1
S.A = (5+9+7.2)12+(4×9)S.A = 254.4+36S.A = 290.4 in²Hence, the right option is B. 290.4 in².
Learn more about surface area here: https://brainly.com/question/1297098
#SPJ1
A student Is asked to find the sum of 297 +613. Which expression can the student use to find
the answer?
Answer:
The student can used
297+613 = x
Step-by-step explanation:
It is because the sum is unknown , and we can imagine it as "x". This, we formed a equation.
m∠2 = 4x + 4 and m∠1 = 5x − 2. Find x.
SHOW WORK
I ONLY NEED THE WORK!!!!!
Answer:
x = 6
Step-by-step explanation:
angles 1 and 2 are equal because the entire angle is bisected
so, 5x - 2 = 4x + 4
x - 2 = 4
x = 6
If you substitute 6 into each expression, they should be equal:
4(6) + 4 = 5(6) - 2
24 + 4 = 30 - 2
28 = 28
HELP I GIVE BRAINIEST
Answer:
137.5
Step-by-step explanation:
someone help!! quick!
Answer:
(1,9/2) and (-2,1/2)
Step-by-step explanation:
because
Which number sentence is true?
A 3.14 x 10 to the 9th power > 2.4 x 10 to the 12th power
B 3.14 x 10 to the 9th power < 2.4 x 10 to the 12th power
Answer:
B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
are these equal or not equal?
a. 18/36 _____ 1/2
b. 13/15 _____ 7/10
c. 3/5 _____ 5/9
d. 3/8 _____ 10/16
Answer:
a. is equal.
Step-by-step explanation:
18+18 is 36 and 1+1 is 2. the other questions are not equal.
Hope this helps!
Answer
18/36 = 1/2
13/5 > 7/10
3/5 > 5/9
3/8 < 10/16
17. Who am I? ___ Collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.
a) template
b) array
c) structure
d) local variables
You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.
A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.
The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.
The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.
To learn more about integer variable click here : brainly.com/question/11873770
#SPJ11
Jennifer is going to the bike shop to get her bike fixed the bike.the shop is 1.5 miles from her house. She expects to wait 30 minutes from the repair then she will ride her bike home. Can she be home in an hour explain.
Jennifer will move in a speed of 0.025 miles per minute to get home. Jennifer's speed to get to her house if she waits for 30 minutes before leaving her house is determined by her speed.
What is speed?Speed is defined as the ratio of distance to time taking in a race or movement.
From the statement, if Jennifer should move 1.5 miles from her house, in an hour, she should move 1.5 miles divided by 60 minutes which gives 0.025 miles in a minute.
So if Jennifer waits 30 minutes, her time remains 30 minutes. so divide 1.5 miles by 30 minutes. the distance will be 0.5 miles in 30 minutes
In conclusion, Jennifer will get to her house if she moves at average speed of 0.5 miles per minute.
Learn more about speed from
brainly.com/question/28238258
#SPJ1
What mass of titanium displaces 125.0 cm3, if the density of titanium is 4.51 g/cm3?
The titanium has a mass value of 563.75 grams
How to determine the mass of the titanium?From the question, the given parameters are
Density of titanium = 4.51 g/cm^3
Volume of benzene = 125.0 cm^3
The mass of the titanium is then calculated using
Density = Mass/Volume
Make Mass the subject of the formula
So, we have
Mass = Volume x Density
Substitute the known values in the above equation
So, we have the following equation
Mass =125.0 x 4.51
Evaluate the product in the equation
Mass = 563.75
Hence, the mass of the titanium is 563.75 grams
Read more about density at
brainly.com/question/25693692
#SPJ1
a marathon is a 26.2-mile race that commemorates the run made by a greek soldier, pheidippides, that took place in 490 bce. how many kilometers did he run? (note: 1 mi
He ran 42.1 kilometers.
Define conversion.A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet. The act or process of transforming something into a different condition or form is known as conversion. to convert a value or expression between two different forms. • Measurement: converting between different units, for as from inches to millimeters or liters to gallons. For instance, change 12 inches to millimeters. 304.8 millimeters are equal to 12 inches multiplied by the inch-to-millimeter ratio of 25.4.
Given,
A marathon is a 26.2-mile race that commemorates the run made by a greek soldier, pheidippides, that took place in 490 bce.
1 mile = 1.609
Converting miles into kilometer:
26.2 miles
= 26.2 × 1.609
= 42.1
He ran 42.1 kilometers.
To learn more about conversion, visit:
https://brainly.com/question/1822263
#SPJ4
3/5x+1/4t=-1/2 in standard form
Answer:
\(\frac{3}{5}x+\frac{1}{4}t+\frac{1}{2}=0\)
Step-by-step explanation:
Write in standard form.
Which expression is the same as (2a + b)3?
Answer:
I guess it's A
Step-by-step explanation:
2*2*2+b*b*b
that's 8a³+b³
What is the answer to this question
Answer:
Angle 1 and Angle 5
Step-by-step explanation:
Since we know that a straight angle is 180 degrees this means that angle 2+5+1 is 1/2 of a full angle. We also know that angle 2 is 90 degrees or a right angle, we can subtract 180 - 90 which equals 90 degrees. Since two complementary angles add up to 90 degrees. This 100% assures us that angle 1 + angle 5 are the two complementary angles.
Hope this Helps!!! :)
Let me know if I should change anything or if it is helpful in the comments.... thx!!!
Find the missing side length. Write your answer in simplified radical form if necessary.
X
6
4
Answer:
\(2\sqrt{13}\)
Step-by-step explanation:
\(c^{2} = a^{2} + b^{2}\)
\(c^{2} = 4^{2} + 6^{2}\)
\(c^{2} = 16 + 36\)
\(c^{2} = 52\)
\(\sqrt{c^{2} } = \sqrt{52}\)
\(\sqrt{52} = 2\sqrt{13}\)
Which products have the same sign as (Negative 2 and StartFraction 3 over 7 EndFraction) (Negative StartFraction 6 over 11 EndFraction)? Check all that apply. StartFraction 3 over 8 EndFraction (Negative StartFraction 6 over 7 EndFraction) 1 and StartFraction 2 over 9 EndFraction (2 and StartFraction 6 over 17 EndFraction) Negative StartFraction 9 over 20 EndFraction (3 and four-fifths) Negative one-third (Negative two-thirds)
Multiplication is the process of multiplying. The products that have the same sign as the product of -2 3/7 and -6/11 are B and D.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The product of two positive numbers and the product of two negative numbers both are positive while the product of a negative number and a positive number is negative. Therefore, the product of -2 3/7 and -6/11 is positive, since both are negative.
A.) 3/8 × (-6/7) = Negative
B.) 1 2/9 × 2 6/17 = Positive
C.) -9/20 × 3 4/5 = Negative
D.) -1/3 × -2/3 = Positive
Hence, the products that have the same sign as the product of -2 3/7 and -6/11 are B and D.
Learn more about Multiplication:
https://brainly.com/question/14059007
#SPJ1
Which products have the same sign as (Negative 2 and StartFraction 3 over 7 EndFraction) (Negative StartFraction 6 over 11 EndFraction)? Check all that
2x+9=17 whats the answer
Answer:
The answer would be x= 4, hope this helps!
Use Newton's method to estimate the solutions of the equation x3+2x+3=0.
Start with x0=0 and then find x2
(Round to four decimal places as needed.)
To use Newton's method to estimate the solutions of equation x^3 + 2x + 3 = 0, you first need to find the derivative of the function. In this case, the function is f(x) = x^3 + 2x + 3, and its derivative is f'(x) = 3x^2 + 2.
Newton's method formula is as follows: x_n+1 = x_n - f(x_n) / f'(x_n).
You are given the starting point x0 = 0. Let's find x1 and x2 using the formula:
x1 = x0 - f(x0) / f'(x0) = 0 - (0^3 + 2*0 + 3) / (3*0^2 + 2) = 0 - 3 / 2 = -1.5
Now, find x2:
x2 = x1 - f(x1) / f'(x1) = -1.5 - ((-1.5)^3 + 2*(-1.5) + 3) / (3*(-1.5)^2 + 2)
x2 ≈ -1.5 - (-4.875 / 11.25) = -1.5 + 0.4333 = -1.0667
Therefore, the estimated solution x2 for the equation x^3 + 2x + 3 = 0 using Newton's method is approximately -1.0667, rounded to four decimal places.
Newton's method is a numerical method used to find the roots of a function. The general idea is to start with an initial guess (in this case, x0 = 0) and use the derivative of the function to iteratively refine the guess until it converges to a solution.
To apply Newton's method to the equation x3 + 2x + 3 = 0, we need to first find its derivative:
f'(x) = 3x^2 + 2
Then, the iterative formula for Newton's method is:
xn+1 = xn - f(xn)/f'(xn)
Starting with x0 = 0, we have:
x1 = x0 - f(x0)/f'(x0) = 0 - (0^3 + 2(0) + 3)/(3(0)^2 + 2) = -1
x2 = x1 - f(x1)/f'(x1) = -1 - (-1^3 + 2(-1) + 3)/(3(-1)^2 + 2) = -1.6667
So the solution using Newton's method is x2 = -1.6667 (rounded to four decimal places).
Learn more about Equation:
brainly.com/question/29657983
#SPJ11
when serenity goes bowling, her scores are normally distributed with a mean of 195 and a standard deviation of 14. what is the probability that the next game serenity bowls, her score will be between 183 and 218, to the nearest thousandth?
The probability that in the next game of serenity bowls, her score will be between 183 and 218 is 73.14%
Given that,
Mean = 195
Standard deviation = 14
Thus, the probability between 183 and 218 is the ρ value of z when x = 195
Subtracting by the ρ value of z when x = 183
so, x = 218
z = 218-195/14 = 1.64
when x = 183
z = 183-195/14= -0.85
Thus, z value is 1.64 then the probability is 0.94950 and when z value is -0.85 then the probability is 0.21886
Now, 0.94950 - 0.21886 = 0.73064
Therefore, The probability that in the next game of serenity bowls, her score will be between 183 and 218 is 73.14%
To know more about probability visit: brainly.com/question/30034780
#SPJ4
Help pleaseee look at the photo above... What’s the answer for y?
y = 25x
the x represents gallons
Help please! This is geometry
Answer:
i dont knoew
Step-by-step explanation:
Is -12 divided by -5 a rational number or irrational
Answer:
Rational
Step-by-step explanation:
Hope this helps!!
find the function =() y = y ( x ) which satisfies the initial value problem ′()=4−3 y ′ ( x ) = e 4 x − 3 y (0)=0 y ( 0 ) = 0 .
The solution of the function which satisfies the initial value problem is equal to y = { (4-e^(-3x))/3, 4-3y > 0
{ (4+e^(-3x))/3, 4-3y < 0
Function y=y(x)
Simplify the differential equation,
dy/dx = 4 -3y
Separate the variables dx and dy,
dy/dx = 4 - 3y
dy/(4-3y) = dx
Integrate both sides,
∫ dy/(4-3y) = ∫ dx
⇒(-1/3) log|4-3y| = x + C
where C is a constant of integration.
Use the initial condition y(0) = 0
(-1/3) log|4-3(0)| = 0 + C
⇒C = (-1/3) ln(4)
Substitute the value of C,
⇒(-1/3) log|4-3y| = x - (1/3) ln(4)
⇒log|4-3y| = -3x + ln(4)
⇒|4-3y| = e^(-3x + ln(4))
For an absolute value consider two cases,
Case 1: 4 - 3y > 0
4 - 3y = e^(-3x + ln(4))
y = (4-e^(-3x))/3
Case 2: 4 - 3y < 0
-4 + 3y = e^(-3x + ln(4))
y = (4+e^(-3x))/3
Therefore, the required solution of the function to the initial value problem is equal to y ={ (4-e^(-3x))/3, 4-3y > 0
{ (4+e^(-3x))/3, 4-3y < 0
Learn more about function here
brainly.com/question/30547207
#SPJ4
The above question is incomplete, the complete question is:
Find the function y=y(x) which satisfies the initial value problem:
dy/dx = 4 -3y ,y(0)=0.
√32= 2^p ,What is value of p ?
Please help me to solve this question.
The number line below is divided into equal parts.
Fill in the missing fractions and percentages.
Note that your fractions don't need to be in simplest form.
The remaining fractions and percentages can be represented
as
0 1/4 2/4 3/4 1
|--------------|--------------|--------------|--------------|
0% 25% 50% 75% 100%
What is a number line?Real numbers are represented by a straight line known as a number line. The distance between the dots on the line, which correlates to the magnitude of the numbers, is how the numbers are typically represented. Positive or negative numerals can be used, and they are normally marked at regular intervals.
Given that,
The number line is divided into equal parts,
The missing parts are
0 1/4 2/4 3/4 1
|--------------|--------------|--------------|--------------|
0% 25% 50% 75% 100%
This is how we can fill in the remaining fractions and percentages.
To learn more about Number lines check:
brainly.com/question/24644930
#SPJ1
What is the measure of EACH INTERIOR ANGLE of a REGULAR 18-gon?
Answer:
160 degrees
Step-by-step explanation:
A polygon with 18 sides has 18 interior angles. Therefore, to find the measure of one of these angles, divide the sum by 18. Answer: Each angle is 160 degrees.