The minimum temperature in Salt Lake City in December is 5 degrees Fahrenheit.
The average December temperature in Salt Lake City, Utah, is 10 degrees Fahrenheit. The actual December temperature can vary in Salt Lake City by 5 degrees Fahrenheit either above or below the average.
We need to find out the minimum temperature in Salt Lake City in December. Let the temperature be denoted by the variable "M". The minimum temperature is the difference between the average temperature and the variation in the temperature.
M = 10 - 5
M = 5
Hence, the minimum temperature in Salt Lake City in December is 5 degrees Fahrenheit.
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1.94 million is what percent of 2.16 million
89.81% of 2.16 million is 1.94 million.
What percentages are there?In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. After dividing a number by its whole, multiply it by 100 to determine its percentage. As a result, the percentage refers to a component per 100. The word "percent" denotes a percentage of 100.
To calculate a group's share of the total in terms of 100, use the percentage formula. Using this method, you may represent a number as a fraction of 100. You'll see that the approach below may be used to rapidly calculate each of the the percentages:
(Value/Total Value) x 100 = %
According to the question,
(x/100) 2.16 = 1.94
x = 1.94 (100)/ 2.16
x = 194/ 2.16
x = 89.81 %
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Graph the solution to the equations below.
=1/4+2 and =−2−7
By graphing, the solution of the system of equations is: (-4, 1).
How to Solve a System of Equations by Graphing?The solution to the system of equations can be solved by graphing both lines of each equation on a coordinate plane, then find the coordinates of the point where both lines intersect each other.
Given the following equations:
y = 1/4x + 2
y = -2x - 7
The graph for y = 1/4x + 2 will intercept the y-axis at 2 and also has a slope of 2. The line for this equation is the red line.
The graph of y = -2x - 7 will also have a slope of -2. Its y-intercept would be -7. The line of the equation is the blue line.
The graph below shows the lines of both equations which intersect at (-4, 1), The solution is, (-4, 1).
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(x-2x³-29x² - 43x+8)÷(x-7)
Answer:
-2x^2 - 43x - 343 - 2393/x-7
Write the equation of a line with slope m = -6 and y-intercept (0, -4), in standard form.
The equation in standard form
Equation of the line in standard form is 6x + y + 4 = 0.
Slope-intercept form of equation -> y = mx + c
Given in question,
Slope = m = -6
y-intercept = c = -4
Putting values of m and c in Slope-intercept form of equation,
y = -6x - 4
Standard form :
6x + y + 4 = 0
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Consider the composite function g(f(x)) =x√6.
If f(x) = 3x2, what is g(x)?
O g(x)=√2x
O g(x)=√x+3
O g(x)=√6x
O g(x)=√9-x
The value of g(x) is √2x.
What is a composite function?
A function whose values are obtained from two given functions by first applying one to an independent variable and then using the result to apply the second, and whose domain is made up of those independent variable values for which the first function's result falls within the second function's domain.
Here, we have
g(f(x)) =x√6.
f(x) = 3x²
By applying a composite function
g(f(x)) =√6x
g(3x²) = x√6
g(x) must be √(2x)
because if we substitute x = 3x² in this we get
= (√2(3x^2))
= √2√3√(x²)
= √6 x
Hence, the value of g(x) is √2x.
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4 yd.
3 yd.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
yards
Answer:
5 yds
Step-by-step explanation:
i am assuming that 4 yd and 3 yd are the legs
so
to find the hypotenuse you square both legs add them and then take the square root of that
so
4^2 + 3^2 = c^2
16 + 9 = c^2
25 = c^2
c = 5
the final side is 5
please find the difference 7(2x+4)-5x
Answer:
9x+28
Step-by-step explanation:
7(2x+4)_5x
14x+28-5x
9x+28
Deion plans to repaint some classroom bookcases. He has 3 5 /1 gallons of paint. All of the bookcases are the same size and each requires 1/5 gallon of paint. How many bookcases will he be able to paint?
The bookcases that Deion will be able to paint is 16.
What is a fraction?It should be noted that a fraction is a part of a whole number that has a numerator and denominator.
In this case, Deion has 3 1/5 gallons of paint and all of the bookcases are the same size and each requires 1/5 gallon of paint.
The number of bookcase needed will be:
= Total gallons / Gallons for each
= 3 1/5 ÷ 1/5
= 16/5 ÷ 1/5
= 16/5 × 5/1
= 16
He can paint 16 cases.
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Neema bought appliances costing $3725 at a store charging 5% add-on interest. She made a $700 down payment and agreed to monthly payments over four years. Find the total cost, for the appliances plus
interest.
The total cost for the appliances plus interest is $
(Type an integer or decimal.)
The total cost for the appliances plus interest is 4330.
What is an interest rate?
The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR.
Here, we
Cost of the appliance = $3725
Neema paid $700 so amount financed = $3725 - $700 = $3025
Interest rate on the loan = 3025*0.05*4 = $605
Total cost of the appliance = $3725 + 605 = $4330
Hence, the total cost for the appliances plus interest is 4330.
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Find the perimeter of the quadrilateral. If x=2, the perimeter is (blank) inches.
Answer:
the perimeter is 129 inches
Step-by-step explanation:
4x² + 8x + 3x² - 5x + 20 + 7x + 30 + 31 =
= 7x² + 10x + 81
x = 2
= 7(2²) + 10(2) + 81
= 7(4) + 20 + 81
= 28 + 101
= 129
Answer: 129 in.
Johnny recently hired a cleaning company to clean his home. The cleaning company charges
a service fee of $46 and $12 for each cleaning visit. Johnny has a monthly cleaning budget of
$130. How many cleaning visits can Johnny afford? answer?
(7x2) x 3
Drag numbers to the boxes to show how to find the product.
(7x2) x3 = 7x (
(7x2) x3 = 7x
(7×2)×3={______
x3
2 3 6 7 13 21 42 49
Determine whether the polygons to the right are similar.
Answer:
A the scale factor is 2 from LMN to CDF (or 1/2 from CDF to LMN).
Step-by-step explanation:
shadows are similar, when they have the same angles, abd if there is one scale factor for all sides and other lengths from one shape to the other.
8×2 = 17
15×2 = 30
17×2 = 34
HELP ASAP PLEASEEEEEEEEEE
A possible perimeter for the rectangular table that was built by Irene is 50 inches.
My thinking was gotten by getting the dimensions and then using the perimeter formula to solve it.
How to calculate the perimeter?From the information given, it should be noted that the area of the rectangle is given as 114 square inches. A dimension that can give this is 19 inches and 6 inches
The perimeter of a rectangle is calculated as:
= 2(Length + Width)
= 2(19 inches + 6 inches)
= 2(25 inches)
= 2 × 25
= 50 inches
The perimeter is 50 inches.
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Solve the inequality for p
4 - 1/6 (p - 3) > 7
Answer:
p < -15
Step-by-step explanation:
[tex]4 - \frac{1}{6} (p - 3) > 7[/tex]
[tex] - \frac{1}{6} (p - 3) > 3[/tex]
[tex]p - 3 < - 18[/tex]
[tex]p < - 15[/tex]
Find two vectors that are orthogonal to u = -2i +5j -3k and w = 3i +2j + k
Show work, please
After solving the equation of vector, the value obtained is equal to one, which shows that vectors are orthogonal.
What are vector?A vector is a quantity with both magnitude and bin physics. It is often depicted by an arrow with the same direction as the amount and a length proportionate to the size of the quantity. A vector has magnitude and the direction, but no position. As soon as a vector's length remains unchanged, it is consequently untouched by movement perpendicular to itself.
In contrast to vectors, scalars are normal variables having a magnitude but no direction. Displacement, velocity, and acceleration are all vector quantities, unlike speed, time, or weight, which are scalar variables.
uw = -6 + 10- 3
uw = 1.
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3(x+6)+5(x-3) bro I actually need help immediately ☠️
Answer:
-3/8
Step-by-step explanation:
3(x+6)+5(x-3)
3x+18+5x-15
8x+3
8x=-3
x= -3/8
In how many ways can a committee of 5 men and 6 women be formed from a group of 8 men and 7 women?
By taking the product between the combinations of possible groups fo men and women we will see that the number of different committees is:
392
In how many ways can the committee be formed?For a set of N elements, the number of different sets of K elements that can be formed is:
C(N, K) = N!/(K!*(N - K)!)
Here we have 8 men and 7 women, and we want to make a committee of 5 men and 6 women
Then the total number of different committees is given by the product between the different sets of 5 men and the different sets of 6 women, these are:
for men:
C(8, 5) = 8!/( 5!*(8 - 5)!) = (8*7*6)/(3*2*1) = 56
for women:
C(7, 6) = 7!/(6!*(7 - 6)!) = 7
Then the total number of different committees is:
C = 56*7 = 392
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If f(x)= (x+3)(3x-5)-4, what is the value of f(3)-f(-2)? Type your answer in the box
If function f(x) = (x+3)(3x-5) - 4, the value of f(3) - f(-2) is 35
The function is
f(x) = (x+3)(3x-5) - 4
We have to find the value of f(3) - f(-2) ,to find that find the value of f(3) and f(-2) separately.
The function is
f(x) = (x+3)(3x-5) - 4
Substitute the values in the equation
f(3) = (3+3)(3×3 - 5) - 4
= (6) × (9-5) - 4
= 6 × 4 -4
= 24 - 4
= 20
The value of f(3) = 20
f(-2) = (-2+3)(3×-2 - 5) - 4
= 1 × (-6-5) -4
= 1 × (-11) - 4
= -11 - 4
= -15
The value of f(-2) = -15
Then,
f(3) - f(-2) = 20 - (-15)
= 20 + 15
= 35
Hence, if function f(x) = (x+3)(3x-5) - 4, the value of f(3) - f(-2) is 35
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A postage stamp has a mass of 2 cg. How many of these stamps would have a total mass of 1 kg?
Total number of postage stamp having total mass 1 kg = 50000 stamps
Unitary Method: What is it?
The unitary method involves first establishing the value of a single unit, followed by the value of the required number of units. What can be numbers and units?
Let's say you go to the store to purchase six apples. You are told by the shopkeeper that he is selling 10 apples for Rs 100. In this example, the value and the units are the cost of the apples. Understanding the units and values is crucial when using the unitary technique to a problem.
Always write the things that need to be estimated on the right side and the variables that are known on the left side to simplify the task. In the important in the current, the number of apples is known, but it is unclear what they are worth. It should be highlighted that issues with this method are addressed using the concepts of ratio and proportion.
Given That :
1 postage stamp is = 1 cg
now we will convert cg into g
1 cg = 0.01g
1 postage stamp is = 0.02g
now we will convert g into kg
1 g = 0.001 kg
0.01g = 0.00001kg
1 postage stamp is = 0.00002kg
so now
total number of stamp in 1 kg = 1/0.00002 = 50000
Hence the ans is 50000 stamps
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Jamison wants to run for office. The committee prints 18,800 flyers to fold and then mail out to the community. If there are 15 people on the committee, what is the number of flyers per capita to fold and distribute? Round to two decimal places if necessary.
Answer: 1253.33
Step-by-step explanation:
What are all prime factorization of 34
What is the slope-intercept form of the equation of the line shown in the graph?
An equation of this line shown in the graph in slope-intercept form is y = 0.75x + 5 or 3x/4 + 5.
How to calculate the slope-intercept form of the equation?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the intercept.From the graph of this line, we have the following parameters:
Point (x, y) = (60, 50)
Point (x, y) = (20, 80)
Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (80 - 50)/(20 - 60)
Slope, m = 30/40
Slope, m = 3/4 or 0.75
At point (60, 50), the intercept is given by:
y = mx + c
50 = 0.75(60) + c
50 = 45 + c
Intercept, c = 50 - 45
Intercept, c = 5.
Now, we can write the equation of this line in slope-intercept form as follows:
y = 0.75x + 5 or 3x/4 + 5.
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What do this mean on this work
Answer:
The answer should be 13.928
Step-by-step explanation:
You do A square + B square = C square
I need answer please
Answer:
The rate of change is -2
Step-by-step explanation:
formula we will use: G(x)= [tex]\frac{f(b)-f(a)}{b-a}[/tex] [-1,2]
g(x)= [tex]x^3[/tex]-5x
g(-1)=[tex]-1^3[/tex]-5(-1)
g(-1)=-1+5
g(-1)=4
g(2)=[tex]2^3[/tex]-5(2)
g(2)=8-10
g(2)=-2
so g(x)= [tex]\frac{(-2)-(4)}{(2)-(-1)}[/tex]
g(x)= [tex]\frac{-6}{3}[/tex]
g(x)=-2
I don't understand please help me...
The total fencing material required to fence the playground and both flower beds is
perimeter of a rectangle is 2( / + w)perimeter of a square is 8aHow to find the material required for the fencingInformation from the question
The boundary of a park is shaped like a circle
The length of the rectangular playground is / and its width is w
The length of each side of the square flower beds is a
The problem is asking for the perimeter of a rectangle and 2 squares
perimeter of a rectangle is 2( / + w)
perimeter of a square is 4a
If there was no over lap the expression will have no reduction and hence the quantity of material required for the fencing is equal to their respective perimeters
The flower beds are two so the perimeter will be multiplied by 2 to give 8a
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WILL MARK BRAINLIEST
Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y = 8x-6
Answer:
y = (-1/4)x + 9/4
Step-by-step explanation:
i got u
A motorboat maintained a constant speed of 11 miles per hour relative to the water in going 10 miles upstream and then returning. The total time for the trip was 5.5 hours. Use this information to find the speed of the current.
The speed of the current is 9 miles per hour
How to determine the speed of the current?
Given that: the motorboat maintained a constant speed of 11 miles per hour relative to the water in going 10 miles upstream and then returning.
Total time = 5.5 hours
Let s = speed of the current
speed downstream relative to land = 11 + s
speed upstream relative to the land = 11 - s
speed = distance/time
time = distance/speed
upstream time + downstream time = total time
10/11-s + 10/11+s = 5.5 (find LCM of 11-s and 11+s)
10(11+s) + 10(11-s) /(11-s)(11+s) = 5.5
110+10s+110-10s /(11-s)(11+s) = 5.5
220 = 5.5(11-s)(11+s)
220 = 5.5(121 - 11s + 11s - s²)
220 = 5.5(121 - s²)
220 = 665.5 - 5.5s²
5.5c² = 665.5 - 220
5.5c² = 445.5
s² = 445.5/ 5.5
s² = 81
s = √81 = 9
Therefore, the speed of the current is 9 miles per hour
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I can determine if a relation is a
function.
1. Use vertical line test to determine if
the graph is a function. Why or why not?
71
(
7
2
Z
2
4
Answer:
1st Graph : Function
2nd Graph : Not a Function
Step-by-step explanation:
For the 1st Graph , any Vertical Line will not pass the Graph in more than one Point , So it represents a Function
For the 2nd Graph , many Vertical Line will pass the Graph in two Points , So it is not a Function
Kurt spen $96.39 over 4(1)/(4) months on movie streaming services. If he spent the same amount of money each month, how much money in dollars, did Kurt spend per month on movie streaming services?
Kurt spent a total amount of $22.68 a month on movie streaming services.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, or operations such as multiplication and division.
These operations are used from the unit rates, as when we have an amount over some time, then the amount per unit of time is the total amount divided by the total time.
We have been given the important parameters are;
The total amount = is $96.39.
The time is a mixed number, 4 and 1/4 months, hence it will be 4.25 months,
Therefore, his monthly spending is given by the unit rate as;
96.39/4.25 = $22.68 a month.
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