Answer:
$1,953
Step-by-step explanation:
So, we need to figure out how many times the big warehouse is actually bigger than the small one, in order to calculate the air conditioner cost for the large warehouse.
Let's say x represents the dimensions of the small warehouse, and y represents the dimensions of the large warehouse.
We have y = 2.5x, for every dimension (length, width, height)
The formula to calculate the volume of a cubic space is the following:
volume = length * width * height
Now, we don't know the exact measurements involved, but we know the large warehouse is 2.5 times bigger in every dimension, so...
volume = 2.5x * 2.5x * 2.5x = 2.5³x³ = 15.625 x³
So, the larger warehouse is 15.625 times larger than the small one. We then multiply that by the cost of cooling down the small warehouse:
cost for large warehouse = 15.625 * $125/month = $1,953.25
Rounded to the nearest dollar: $1,953
If 12 pens cost 3.48 how much do 20 cost
Step-by-step explanation:
12/3.48= cost of 1 book
cost of 20 books = 12/3.48×20 =68.95
To find the cost of 20 pens when 12 pens cost $3.48, divide $3.48 by 12 to get the cost per pen and then multiply by 20. The cost for 20 pens would be $5.80.
To calculate the cost of 20 pens when 12 pens cost $3.48, first, we need to find the cost of one pen. We do this by dividing the total cost of 12 pens by the number of pens:
$3.48 / 12 pens = $0.29 per pen.
Now that we know the cost of one pen, we can calculate the cost of 20 pens by multiplying the cost per pen by 20:
$0.29 / pen x 20 pens = $5.80.
So, 20 pens would cost $5.80.
3) This is a writer's opinion or way of seeing an issue.
Answer:
the word is viewpoint
Step-by-step explanation:
Answer:
Viewpoint.Step-by-step explanation:
Viewpoint refers to a particular and individual way to see the world. It's the personal perspective in a specific context, it's people's point of view. For example, in a situation like an accident between a motorcycle and a bus, some people would say that the fault is no the bus drives, other would say that it's on the motorcycle driver, but at the end, those just are different viewpoint.
In this case, a writer's opinion or way of seeing an issue, it's referring to a point of view, or viewpoint, because involves an individual opinion about something.
please help NOW!!!! 20 Points!
how is this number expressed in decimal notation? 2 x 10-5
1.5 × 10 to the 1 st power
Answer:
0.00002
2*10^-5 = 2*00001 = 0.00002
How would the expression x^2-9 be written using difference of swuares
x squared and -9 are both square numbers.
the square root of x^2 is x
the square root of -9 is 3. so you just need to write (x+3)(x-3)
you can check by expanding the brackets and the middle x terms should cancel out
Answer:
(x-3)(x+3)
Step-by-step explanation:
Here we have to represent our algebraic expression as difference of square.
In order to do so we have use the formula given under.
[tex](x^2-a^2)=(x-a)(x+a)[/tex]
Hence first we have to guess the square root of the 9 , which is 3 and represent our numeric term in our expression as square of it.
Hence
[tex](x^2-9)\\= (x^2-3^2)[/tex]
Now we apply the formula
[tex](x^2-3^2)=(x-3)(x+3)[/tex]
Hence the above expression is our answer.
Find the value of x, rounded to the nearest tenth.
Answer options: 4.2, 3.7, 4.4, 8.9
Answer:
= 8.9 units
Step-by-step explanation:
When a chord intersects with a tangent outside a circle then we use the relationship;
X ² = AO × BO, Where A and are the points of intersection of the chord an the circle, while O is the point of intersection between the chord and the tangent.
Therefore;
x² = 4 × 20 or 8 × 10
x² = 80
x = √80
= 8.944
≈ 8.9
Answer: 8.9
Step-by-step explanation:
x² = 4 × 20 or 8 × 10
x² = 80
x = √80
= 8.944
≈ 8.9
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the squares share one side with the rectangle. The total area of the constructed figure is 120 cm2. What is the perimeter of the rectangle?
Answer:
The perimeter of rectangle is [tex]18\ cm[/tex]
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
[tex]x=y+5[/tex] ----> equation A
[tex]120=xy+2x^{2}+2y^{2}[/tex] ---> equation B (area of the constructed figure)
substitute the equation A in equation B
[tex]120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0[/tex]
using a graphing calculator -----> solve the quadratic equation
The solution is
[tex]y=2\ cm[/tex]
Find the value of x
[tex]x=y+5 ----> x=2+5=7\ cm[/tex]
Find the perimeter of rectangle
[tex]P=2(x+y)=2(7+2)=18\ cm[/tex]
Answer:
Perimeter of rectangle = 38 cm
Step-by-step explanation:
It is given that, Length of a rectangle is 5 cm longer than the width.
Let 'x' be the width then length = x + 5
Area of of rectangle = x(x + 5)
One side of square = ( x+ 5)/4
Area of all squares = [(x +5)/4]² * 4 = (x + 5)²/4
To find the value of x
Total area = 120 cm²
Area of of rectangle + Area of all squares = 120
x(x + 5) + (x + 5)²/4 = 120
x² + 5x + (x² + 10x + 25)/4 = 120
4x² + 20x + x² + 10x + 25 = 120 * 4
x² + 6x + 5 = 24 * 4
x² + 6x - 96 =0
x = 7
To find the perimeter of rectangle
width = x = 7
Length = x + 5 = 7 + 5 = 12
Perimeter = 2(length + width) = 2(7 + 12) = 38 cm
The Klein family is taken a weekend trip to their grandparents who live 134 miles away. Mr. Klein always drives at a
steady rate of 60 miles per hour. After 42 minutes into the trip, the kids want to know how many more miles until they get
there. Find the number of miles left to travel.
Answer:
92 more miles
Step-by-step explanation:
60 mph is 1 mile per min so in 42 min they traveled 42 miles and 134 miles minus 42 miles is 92 miles
Which of the statements about the graph of the function y = 2x are true? Check all of the boxes that apply. The domain is all real numbers x because the exponent of 2 can be any real number When the x-values increases by 1 unit, the y-value multiplies by 2. The y-intercept is (0, 1). The graph never goes below the x-axis because powers of 2 are never negative. The range is all real numbers.
Answer:
The correct options are 1, 2, 3 and 4.
Step-by-step explanation:
The given function is
[tex]f(x)=2^x[/tex]
The above function is defined for all the values of x.
⇒ Therefore the domain is all real numbers x because the exponent of 2 can be any real number.
⇒ The x is exponent of 2, therefore the x-values increases by 1 unit, the y-value multiplies by 2.
Put x=0, to find the y-intercept.
[tex]f(x)=2^=1[/tex]
⇒The y-intercept is (0, 1).
The value of f(x) is always greater than 0 because powers of 2 are never negative.
[tex]f(x)>0[/tex]
⇒The graph never goes below the x-axis because powers of 2 are never negative.
⇒Therefore the range of the function is all positive real numbers.
Therefore the correct options are 1, 2, 3 and 4.
The True statements about the graph of the function [tex]y =2^x[/tex] are option a), b), c) and d). Refer the below solution for better understanding.
Given :
[tex]y = 2^x[/tex]
Solution :
Domain is all real numbers x because the exponent of 2 can be any real number.
x is exponent of 2, therefore the x-values increases by 1 unit, the y-value multiplies by 2.
At [tex]x=0[/tex],
[tex]y=2^0=1[/tex]
y intercept -- (0 , 1).
y is always greater than zero because power of 2 never be negative.
Graph never goes below the x-axis because powers of 2 are never be negative.
The range of the function is all positive real numbers.
Therefore all the options are correct.
For more information, refer the link given below
https://brainly.com/question/14418346
A right triangle ABC with height AB labeled 3 units and base BC labeled 5 units is shown. The area of the triangle above will equal one half of a rectangle that is 5 units long and units wide.
Answer:
Step-by-step explanation:
Answer:
w=3
Step-by-step explanation:
The area of the triangle is given by
A = 1/2 bh
the base is 5 and the height is 3
A = 1/2 (3) * 5 = 15/2 units ^2
The area of a rectangle is
A = l*w
A = 5w
The area of the triangle = 1/2 the area of the rectangle
15/2 = 1/2 *5w
15/2 = 5/2 w
Multiply each side by 2/5 to isolate w
2/5 * 15/2 = 2/5 *5/2 w
3 =w
Read more on Brainly.com - https://brainly.com/question/11938580#readmore
Final answer:
The area of the triangle is 7.5 units and the width of the rectangle is 3 units.
Explanation:
The area of a triangle can be calculated using the formula A = (base * height) / 2. In this case, the base of the triangle is given as 5 units and the height is given as 3 units.
So, the area of the triangle is A = (5 * 3) / 2 = 15 / 2 = 7.5 units.
The area of the rectangle is given as 5 units long and units wide. Since the area of the triangle is equal to half of the area of the rectangle, we can set up the equation 7.5 = (5 * width) / 2 and solve for the width.
By multiplying both sides of the equation by 2 and then dividing by 5, we get width = (7.5 * 2) / 5 = 15 / 5 = 3 units. Therefore, the width of the rectangle is 3 units.
help me with this question pls!?
Your answer is A) 1/2 inch per foot
Multiply the given info by 2 to get the answer.
Please mark brainliest if this helps you! :)
Suden wants to know the theoretical and experimental probability of rolling a number smaller than a 3 on a 6-sided number cube numbered 1 to 6. He rolls the number cube 8 times and records the results in this table.
4 2 5 3
5 6 1 4
Drag and drop the answers in the boxes to correctly complete the sentences comparing theoretical probability and experimental probability.
Actually happened
we expect to happen
1/3
1/4
1/6
The theoretical probability of rolling a number smaller than a 3 is _______because this is what_______ . The experimental probability of rolling a number smaller than a 3 is ______ because this is what_______ .
Answer:
The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____
Step-by-step explanation:
The experimental probability is
P (<3) = ( getting a one or 2)/ number of times that he rolled
He rolled a one or a two 2 times of the 8 times rolled
= 2/8 = 1/4
Theoretical probability is what we expect happen
P (<3) = (getting a one or two) / 6
= 2/6 = 1/3
The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____
A school has an art club, a drama club, and a cooking club. The ratio of the number of students in these clubs is given.
Art club to drama club: 7 to 13
Cooking club to art club: 5 to 14
There are 130 students in the drama club. No students are in more than one club.
How many students are in the cooking club?
Answer:
25 students in the cooking club
Step-by-step explanation:
Let
x-----> the number of students in art club
y-----> the number of students in drama club
z-----> the number of students in cooking club
step 1
Substitute the value of y in equation A and solve for x
step 2
substitute the value of x in equation B and solve for z
David invested $220 in a savings account that offers a 3% return on the investment. The value of
____ years David's investment will be at least $400 after a period of years.
Hint: Use the formula A = P(1 + r)t, where A is the amount after t years, P is the amount invested, r is the rate of interest, and t is the time period. Use a calculator to compute the answer, and round it off to the nearest year.
Answer:
20 years
Step-by-step explanation:
Using the formula; A = P(1 + r)^t
We can plug in the known to find t
400 = 220(1.03)^t
then solve for t;
1.818 = 1.03^t
Introducing In
In 1.818 = t × In (1.03)
t = 20.225
t = 20 years to the nearest year
Answer:
20 years
Step-by-step explanation:
Plato
Jeremy boiled one cup of water and then let it cool at room temperature. The table shows the temperature, in degrees Fahrenheit, of the water after a given number of five-minute intervals. Jeremy used an exponential function to model the temperature w(t), in degrees Fahrenheit, of the water after t intervals.
The question involves predicting the temperature of water after six intervals using an exponential decay function. Without the exact values to form the function, we can infer that the temperature will likely be around option (b) 101°F after six intervals based on the pattern of decrease shown in the provided intervals.
The student's question is about using an exponential function to model the temperature decrease of water as it cools at room temperature.
To solve this problem, one would generally apply the formula for an exponential decay function, which is of the form w(t) = [tex]a * e^{(kt)[/tex], where w(t) is the temperature at time t, a is the initial temperature, e is the base of the natural logarithm, and k is the decay constant. Given the temperatures at specific intervals, one could use these to estimate the constants a and k.
However, without the necessary values to develop an equation, we instead look for the pattern in the temperature's decrease to predict the sixth interval's approximate temperature.
Examining the table provided:
Interval 0: 210°FInterval 1: 167°FInterval 2: 145°FInterval 3: 131°FInterval 4: 121°FWe can see that the temperature is decreasing less with each interval. While it is not explicitly stated, it's reasonable to assume that an exponential decay function would fit this scenario. Without the exact function, we can make an educated guess based on the trend that after six intervals, the temperature will be less than 121°F and likely close to option (b) 101°F.
A pack of cinnamon-scented pencils sells for $4.00. What is the sales tax rate if the total cost of the pencils is $4.20?
Answer: The sales tax rate is 5%.
Step-by-step explanation: In order to calculate the sales tax rate you need to divide the amount of sales tax by the amount of the purchase. In this case you divide .20 by $4.00. .2 / 4 = .05 = 5% sales tax rate
The sales tax rate for a pack of cinnamon-scented pencils that sells for $4.00 and totals $4.20 is 5%.
To calculate the sales tax rate for a pack of cinnamon-scented pencils that sells for $4.00 and has a total cost of $4.20 including tax, you first need to find the amount of sales tax paid. The sales tax paid is the difference between the total cost and the sale price, which is
$4.20 - $4.00 = $0.20.
Next, you convert the sales tax amount to the sales tax rate by dividing the tax amount by the original price and then multiplying by 100 to get a percentage. Therefore, the sales tax rate is
($0.20 / $4.00) x 100, which equals 5%. The packed pencils had a 5% sales tax added to the original price.
Find the solutions to the equation below check all that apply 30x^2-26x+4=0
Answer:
A. 1/5
C. 2/3
Step-by-step explanation:
30x^2 - 26x + 4=0
2(15x^2 - 13x + 2) = 0
2(15x^2 - 10x - 3x + 2) = 0
2[(5x(3x - 2) - 1(3x - 2)] = 0
2(5x - 1)(3x - 2) = 0
5x - 1 = 0; x = 1/5
3x - 2 = 0; x = 2/3
Answer:
x = 1/5, x = 2/3.
Step-by-step explanation:
30x^2 - 26x + 4 = 0
15x^2 - 13x +2 = 0
(5x - 1 )(3x - 2) = 0
5x - 1 = 0 or 3x - 2 = 0
x = 1/5, 2/3.
on which number line are negative 3 and it's opposite shown flvs flex
Answer:
the first one
Step-by-step explanation:
A tetrahedron is a triangular pyramid whose four faces are identical equilateral triangles. The total lateral surface area is 93 square centimeters. Find the surface area of the tetrahedron. Answer quick plz!!
Answer:
SA = 124 cm²
Step-by-step explanation:
The lateral surface area is the area of all sides besides that base, so 93 cm² is the sum of 3 sides of the tetrahedron.
93/3 = 31 cm² per side, there are 4 sides, so 31(4) = 123 cm² is the total surface area
The surface area of the tetrahedron is 124 square centimeters.
Let's denote the surface area of one equilateral triangle as A The total surface area of the tetrahedron, which includes all four faces, is then 4A.
Given that the lateral surface area (which is three faces) is 93 square centimeters, we can write:
3A = 93
To find the area of one face (A), we divide both sides by 3:
[tex]\[ A = \frac{93}{3} = 31 \][/tex]
Now, to find the total surface area of the tetrahedron, we multiply the area of one face by 4:
[tex]\[ \text{Total Surface Area} = 4A = 4 \times 31 = 124 \][/tex]
Therefore, the surface area of the tetrahedron is 124 square centimeters.
Match each pairs of rational
Answer:
Refer to step-by-step.
Step-by-step explanation:
To find the LCD of the different fractions, we first need to follow the steps of finding the LCD of algebraic fractions.
1st step: Factor
You need to factor out the expressions if they do not have a difference of two squares.
2nd step: Find the LCD of the coefficients.
You need to find the LCD of the coefficients before moving onto the variables.
3rd step: The variable part of the LCD will be every single variable you see, with the highest exponent.
So let's begin, since all the given denominators are already factored out, we can proceed straight to step 2.
[tex]\dfrac{5}{9m^{2}n}and\dfrac{5}{16mn^{3}}[/tex]
Now since we're dealing with the denominators, let's focus on them alone.
The LCD of 9 and 16 is 144
The LCD of variables m² and m is m²
The LCD of variables n and n³ is n²
So the LCD of the algebraic fractions [tex]\dfrac{5}{9m^{2}n}and\dfrac{5}{16mn^{3}}[/tex] is:
144m²n³
Now to the next one.
[tex]\dfrac{5+m}{8m^{4} n^{2} }and\dfrac{5+n}{18m^{2} n^{4} }[/tex]
The LCD of 8 and 18 is 72
The LCD of variables [tex]m^{4}[/tex] and m² is [tex]m^{4}[/tex]
The LCD of variable n² and [tex]n^{4}[/tex] is [tex]n^{4}[/tex]
So the LCD of the algebraic fractions [tex]\dfrac{5+m}{8m^{4} n^{2} }and\dfrac{5+n}{18m^{2} n^{4} }[/tex]is:
[tex]72m^{4} n^{4}[/tex]
Next one we have:
[tex]\dfrac{m+n}{12mn}and\dfrac{n+m}{18m^{3}n }[/tex]
The LCD of 12 and 18 is 36
The LCD of m and m³ is m³
The LCD of n and n is n
So the LCD of the algebraic fractions [tex]\dfrac{m+n}{12mn}and\dfrac{n+m}{18m^{3}n }[/tex] is:
36m³n
Last but not the least.
[tex]\dfrac{m-n}{24mn^{4}}and\dfrac{m-n}{16m^{4}n }[/tex]
The LCD of 24 and 16 is 48
The LCD of m and [tex]m^{4}[/tex] is [tex]m^{4}[/tex]
The LCD of [tex]n^{4}[/tex] and n is [tex]n^{4}[/tex]
So the LCD of the algebraic fractions [tex]\dfrac{m-n}{24mn^{4}}and\dfrac{m-n}{16m^{4}n }[/tex] is:
[tex]48m^{4} n^{4}[/tex]
if g(x)=4x^2-16 were shifted 7 units to the right and 3 down, what would the new equation be?
ANSWER
[tex]f(x) = 4 {(x - 7)}^{2} - 19[/tex]
EXPLANATION
The given equation is
[tex]g(x) = 4 {x}^{2} - 16[/tex]
If the equation is shifted 7 units to the right and 3 units down, then the new equation becomes.
[tex]f(x) = g(x - 7) - 3[/tex]
This implies that,
[tex]f(x) = 4 {(x - 7)}^{2} - 16 - 3[/tex]
The required equation is
[tex]f(x) = 4 {(x - 7)}^{2} - 19[/tex]
Erin goes to a stamp fair once a month to buy new stamps for her collection. The equation y = 115 + 10x represents the number of stamps in Erin's collection when she has been to the stamp fair x number of times. How many stamps are in her collection after 7 trips to the fair?
Answer:
Step-by-step explanation:
115+10x = y
After 7 trips to the fair, Erin has 185 stamps in her collection according to to the equation y = 115 + 10x.
To find out how many stamps Erin has after 7 trips to to the fair, we can use the given equation:
[tex]\[ y = 115 + 10x \][/tex]
where:
- [tex]\( y \)[/tex] represents the number of stamps in Erin's collection.
- [tex]\( x \)[/tex] represents the number of times Erin has been to to the stamp fair.
Substituting [tex]\( x = 7 \)[/tex] into the equation, we get:
[tex]\[ y = 115 + 10(7) \][/tex]
[tex]\[ y = 115 + 70 \][/tex]
[tex]\[ y = 185 \][/tex]
So, after 7 trips to the fair, Erin has [tex]\( 185 \)[/tex] stamps in her collection.
Which statement is true about the distribution?
Answer:
The answer is C
Step-by-step explanation:
Answer:The answer is actually A
Step-by-step explanation:
help plz plz plz i need help, not good at math
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷The answer is: the corresponding angles are both the same.
Explanation: The angles B and F are the same. The same goes for A and E, D and H, and C and G. So the conclusion is that the corresponding angles have both the same measure, or are both congruent.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE
What are the zeros of f(x)=2x^3+3x^2-9x?
Answer:
x = -3, x= 0, and x = 1.5
Step-by-step explanation:
The zeros of a function f(x) refers to the x-values for which f(x) = 0.
We simply graph the function and determine the points where the graph crosses the x-axis. Thus, we shall be solving the problem graphically;
From the attachment below, the graph of f(x) crosses the x-axis at;
x = -3, x= 0, and x = 1.5
Solve 5/8 x - 2/3 y = -3 3/4 x + 1/2 y = -4
Answer:
I am not sure that this is a solvable equation.
which pair of expressions is equivalent to each other?
Answer:
C
Step-by-step explanation:
4^5 expanded is 4 * 4 * 4 * 4* 4
Find the equation of the line below.
The equation of the line below : y= -6x.
Plz help! Giving away more points than usual!!! Thxs :) (btw the rate of change isn't 8 nor 29, I tried them both like 500 times)
Answer:
rate change: -8
Equation: y = 232 -8x
After 5 hours: 192
Step-by-step explanation:
8 are destroyed every hour, so there are 8 less every hour, so the rate of change is -8
It starts with 232 and loses 8 per hour, so the formula is
y = 232 - 8x
After 5 hours:
y = 232 - 8(5)
y = 232 - 40
y = 192
Answer:
Step-by-step explanation:
The rate of change in this case is -8, since the amount is decreasing.
The equation is:
y=232-8x.
After 5 hours, he will have 192 rews.
Which is an example of an operation
What is the solution to the equation 1 over 24 multiplied by x is equal to 1 over 6?
x = 144
x = 30
x = 18
x = 4
x=4
Multiply the reciprocal of 1/24, which is 24, on both sides. You will result in getting x=24/6, or 4
x=4
Answer:
x=4
Step-by-step explanation:
24 divided by 6 = 4
or 6 x 4 = 24