Answer:
The answer is option (C), One cement bridge post weighs 9,135 pounds
Step-by-step explanation:
Step 1: Get the total volume of a cement bridge post
The cement bridge post is in the shape of a cuboid, therefor the volume of the cement bridge post can be expressed as;
Volume of cement bridge post=Base area×Length
where;
Base area=(24^2) inches square
1 foot=12 inches
Convert 24 inches to foot=24/12=2^2=4 feet²
Length=15 feet and 9 inches
1 foot=12 inches
Convert 9 inches to foot=9/12=0.75 feet
Total length=(15+0.75)=15.75 feet
replacing;
Volume of cement bridge post=(4×15.75)=63 cubic feet
Volume of cement bridge post=63 cubic feet
Step 2: Get the total weight of the cement bridge post
Total weight of the cement bridge post=Weight per cubic foot×total volume of the cement bridge post
where;
Weight per cubic foot=145 pounds per cubic foot
Total volume of the cement bridge post=63 cubic feet
replacing;
Total weight of the cement bridge post=(145×63)=9,135 pounds
One cement bridge post weighs 9,135 pounds
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What is the measure of ∠K?
The value of the measure of ∠K is,
⇒ ∠K = 46°
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In triangle JKL,
⇒ ∠J = 101°
⇒ ∠L = 33°
Now, We know that;
⇒ ∠J + ∠K + ∠L= 180°
⇒ 101° + ∠K + 33° = 180°
⇒ ∠K + 134° = 180°
⇒ ∠K = 180 - 134
⇒ ∠K = 46°
Thus, The value of the measure of ∠K is,
⇒ ∠K = 46°
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To make 7 bowls of punch, you need 5 bottles of soda. How many bottles do you need to make 12 bowls of punch?
To determine how many bottles of soda are needed for 12 bowls of punch, we use the given ratio of 7 bowls to 5 bottles and set up a proportion. We find that 9 bottles of soda are needed for 12 bowls of punch.
The question asks us to figure out how many bottles of soda we need to make a larger amount of punch based on a known ratio. Since it is given that 7 bowls of punch require 5 bottles of soda, we can set up a proportion to find out how many bottles of soda we need for 12 bowls of punch. To do this, we use the initial ratio (7 bowls/5 bottles) and set it equal to the desired ratio (12 bowls/x bottles), where x represents the unknown number of bottles needed for 12 bowls.
We can solve for x by cross-multiplying and dividing:
Set up the proportion: (7 bowls / 5 bottles) = (12 bowls / x bottles)
Cross-multiply: 7 * x = 5 * 12
Simplify: 7x = 60
Divide both sides by 7: x = 60 / 7
Since 60 divided by 7 is not a whole number, we round up, because you can't have a fraction of a bottle in this context. Therefore, x
= 9 bottles (rounded up from 8.57)
So, we would need 9 bottles of soda to make 12 bowls of punch.
Describe the graph of the function at its roots. f(x) = (x − 2)3(x + 6)2(x + 12) At x = 2, the graph crossesdoes not intersecttouches the x–axis. At x = −6, the graph crossesdoes not intersecttouches the x–axis. At x = −12, the graph crossesdoes not intersecttouches the x–axis.
For the graph of given function ,
At x=2, the graph crosses x axis
At x=-6, the graph touches x axis
At x=-12, the graph crosses x axis
Given :
Equation of a function [tex]f\left(x\right)\:=\:\left(x\:-\:2\right)^3\left(x\:+\:6\right)^2\left(x\:+\:12\right)\:[/tex]
Lets find out the roots and analyze
lets set each factor =0 and solve for x
Exponent in each factor tell us the multiplicity . Using multiplicity we check whether crosses or touches x axis
When multiplicity is odd then graph crosses x axis .
when multiplicity is even then graph touches x axis.
[tex]f\left(x\right)\:=\:\left(x\:-\:2\right)^3\left(x\:+\:6\right)^2\left(x\:+\:12\right)\:\\(x-2)^3= 0\\x-2=0\\x=2[/tex]
Root is x=2 with multiplicity 3. 3 is odd
At x=2, the graph crosses x axis
[tex](x+6)^2=0\\x+6=0\\x=-6[/tex]
At x=-6, multiplicity is 2 that is even .
At x=-6, the graph touches x axis
[tex]x+12=0\\x=-12[/tex]
x=-12 with multiplicity 1. 1 is odd
At x=-12, the graph crosses x axis
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What are the domain and range of the piecewise function below?
Answer:
Domain =R-{6}
Range =R-[-2,0)
Step-by-step explanation:
edge 2021
5 is no greater than 4 times a number x minus 2.5
Answer : The expression for the given statement is [tex]5\leq 4x-2.5[/tex]
Step-by-step explanation :
We are given a statement:
5 is no greater than 4 times a number x minus 2.5
'no greater than' in the above statement means [tex]\leq[/tex].
'minus' in the above statement means subtraction operation.
'times' in the above statement means multiplication operation.
Thus, the expression for the given statement is [tex]5\leq 4x-2.5[/tex]
The value of 'x' will be,
[tex]5\leq 4x-2.5\\\\\5+2.5\leq 4x\\\\7.5\leq 4x\\\\x\geq 1.875[/tex]
We want to write the given statement as an inequality, and then solve it.
The inequality is: 5 ≤ 4*x - 2.5
The solution is: 1.875 ≤ x
The given statement is:
"5 is not greater than 4 times a number x minus 2.5"
The "5 is not greater than..." is written as:
5 ≤
So 5 is smaller than or equal to the thing at the right.
The complete inequality will be:
5 ≤ 4*x - 2.5
Now to solve this, we start by adding 2.5 in both sides:
5 + 2.5 ≤ 4*x
7.5 ≤ 4*x
Now dividing both sides by 4 we get:
7.5/4 ≤ x
1.875 ≤ x
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If a container contains 18,000 ounces (oz) of beans, about how many pounds (lb) does it contain?
What is the answer to this question 34+0+18+26 please help and fast
Tom knows that in his school 10 out of every 85 students are left- handed. There are391 students in tom's school. How many in tom's school are left-handed?
I believe the answer would be 46 students
> 46 Students in Tom's school are Left-Handed
Please help me understand how to find the range! I have a test tomorrow and I don’t understand. :(
For #30, we did it in class, but is that the right answer? Please check. (Range) I don’t understand WHY or how it’s the range. Why 50 is included.
Range represents all of the y-values possible for the function.
What is the highest point on the graph? The coordinate is (2, 50) so the y-value of the highest point is 50.
What is the lowest point on the graph? there isn't one because it continues downward to infinity.
Range: (-∞, 50]
I hope this helped!
Emilia has a bag of colored marbles. The bag contains the same ratio of red marbles to blue marbles as the ratio of green marbles to orange marbles. She has 18 red marbles, 48 blue marbles, and 12 green marbles. How many orange marbles are in the bag?
a. 32
b. 28
c. 5
d. 72
(a) 32 orange marbles
the ratio of red : blue = 18 : 48 = 3 : 8 ( in simplest form )
the ratio of green : orange = 3 : 8 ( equal ratio )
divide green by 3 to obtain 1 part of ratio then multiply this value by 8 to obtain the amount of orange marbles
3 parts → 12
8 parts → 12 × [tex]\frac{8}{3}[/tex] = 32 orange marbles
THE AP CALCULUS EXAM SCORES WERE RELEASED IN JULY. THE SECONDARY MATH SPECIALIST PREPARED THE BOX PLOT SHOWN TO PRESENT THE SCORES TO THE SUPERINTENDENT. WHAT'S THE RANGE OF SCORES THAT REPRESENTS THE MIDDLE 50 PERCENT OF THE STUDENTS WHO TOOK THE TEST?
A. 65%–89%
B. 65%–94%
C. 81%–89%
D. 65%–81%
Answer : option A
To find the range of scores that represents the middle 50 % of the student who took the test , we find inter quartile
Inter quartile range is the middle 50% of the given range of scores.
The difference between the upper quartile and lower quartile is the inter quartile that is middle 50%
From the diagram , we can see that
Upper quartile = 89
lower quartile = 65
So range is 65% to 89%
How to write algebraic expressions Three times the sum of a number and twelve?
Which of the following are measures of supplementary angles? A. 60° and 30° B. 122° and 58° C. 180° and 90° D. 45° and 45°
Answer: B) 122 and 58
Supplementary angles add to 180 degrees. In other words, they form a straight angle or a straight line when you combine them together (make sure they don't overlap and that there isn't any gap between them).
Choice B is the only pair of angles where they add to 180 since 122+58 = 180. The values in choice A and choice D add to 90; the values in choice C adds to 270.
Note: complementary angles add to 90 degrees. One way to remember "supplementary" vs "complementary" is to think "S for straight, C for corner". By "corner", I mean a 90 degree corner.
If 4x+y= z solve for x.
Here is the equation:
[tex]4x+y=z[/tex]
You need to find x. To do that, the variable must be alone on one side. On the right side, you have:
[tex]4x+y[/tex]
To leave 4x by itself, you need to remove y by doing the opposite sign of it. Since it's +y, you need to -y(subtract y) from both sides.
[tex]4x+y-y = z-y \\ 4x=z-y[/tex]
Now the variable is alone. You have 4x and you need to find x alone. To do that, you need to divide both sides by 4.
[tex]\frac{4x}{4} = \frac{z-y}{4}[/tex]
Your answer is:
[tex]x = \frac{z-y}{4}\ \checkmark[/tex]
If you have any questions, feel free to ask! :)
3 questions 40 points
Answer:
the answer is y=1/2
Step-by-step explanation:
Answer:the answer is y=1/2
Step-by-step explanation:
a total of 125 people attended the school play. Adult tickets are $4 each and student tickets are $1.50 each. if $295 worth of tickets were sold, how many student and adult attended? Explain
An appliance-delivery truck contains a total of 6 refrigerators and dishwashers, and their total weight is 1300 pounds. Refrigerators weigh 250 pounds and dishwashers weigh 150 pounds. How many of each type of appliance are on the truck?
4 refrigerators = 1000
2 dishwashers = 300
add em up to 1300
Given the graph of a line y=−x. Write an equation of a line (there are many) which intersects the line, but is not perpendicular.
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
Simplify.
4√27 + 6√75
To answer this, you will first need to simply the expressions.
[tex]4\sqrt{27} = 12\sqrt{3}[/tex]
[tex]6\sqrt{75} = 30\sqrt{3}[/tex]
Now with the expressions simplified, you'll add the two together getting [tex]42\sqrt{3}[/tex]
So firstly, we have to simplify the radicals. Using the product rule of radicals, simplify these radicals as such:
4√27 = 4 × √9 × √3 = 4 × 3 × √3 = 12√3
6√75 = 6 × √5 × √15 = 6 × √5 × √5 × √3 = 6 × 5 × √3 = 30√3
Now, add these two simplified radicals as such:
12√3 + 30√3 = 42√3
42√3 is your final answer.
Which is more? (2 points) 1 kiloliter 1 centiliter 1 decaliter 1 milliliter
What is the length, in feet, of the hypotenuse of a right triangle with legs that are 3 feet long and 4 feet long? Question 10 options: 25 5 7 7√
Match the following conditional statement: if two lines intersect, then their intersection is one point.
1.if the lines intersections of two lines is a point, then they intersect
2. If two lines do not intersect, then their intersection is not one point
3. If the intersection of two lines in not one point, then the two lines do not intersect
1. If the intersection of two lines is a point, then they intersect. = Converse
2. If two lines do not intersect, then their intersection is not one point. = Inverse
3. If the intersection of two lines is not one point, then the two lines do not intersect. = Contrapositive
I did the assignment already, it's correct.
The conditional statement 'If two lines intersect, then their intersection is one point' is matched with three possible related statements.
The conditional statement 'If two lines intersect, then their intersection is one point' can be matched with the following:
If the intersection of two lines is a point, then they intersect
If two lines do not intersect, then their intersection is not one point
If the intersection of two lines is not one point, then the two lines do not intersect
Explanation:
This question is about conditional statements related to the geometric properties of lines. The given statement is that if two lines intersect, their intersection is exactly one point. Statement 1 is the converse, meaning if their intersection is a point, then the lines must intersect. Statement 2 is the contrapositive, asserting that if two lines do not intersect, they can't have a single intersection point. Statement 3 reason that if the intersection is not exactly one point, then they do not intersect at all.
A triangle has a perimeter of 90 centimeters write and use a linear system
We are given sides of the triangle by expression
First side : n
Second side : m = 5n-5.
Third side : l = 5/4 m - n.
Perimeter is 90.
Therefore, first equation could be set :
n +m +l = 90 --------------equation(1)
Second equation would be
m = 5n-5 --------------equation(2)
Third equation would be
l = 5/4 m - n --------------equation(3)
Let us solve the system of equations by substitution.
Substituting m = 5n-5 and l = 5/4 m - n in first equation.
We get
n +5n-5 +5/4 m - n= 90
Now, substituting m = 5n-5 in above equation we get
n +5n-5 +5/4 (5n-5) - n= 90
5n + 25n/4 -5 - 25/4 =90
5n + 6.25n -5-6.25 = 90.
11.25n-11.25 = 90
Adding 11.25 on both sides, we get
11.25n-11.25+11.25 = 90+11.25
11.25n = 101.25.
Dividing both sides by 11.25, we get
n=9.
Plugging n=9 in 2nd equation.
m = 5(9)-5 = 45 -5 = 40.
Plugging n=9 and m=40 in first equation, we get
9 +40 +l = 90
49 +l = 90.
Subtracting 49 from both sides, we get
49-49 +l = 90-49
l = 41.
Therefore, sides are of lengths l = 41, m= 40 and n=9.
Rewrite the equation y^2 – 4y – 2x – 4 = 0 in standard form.
y² - 4y - 2x - 4 = 0
+2x +4 +2x + 4
y² - 4y = 2x + 4
+4 +4
(y - 2)² = 2x + 8
-8 -8
(y - 2)² - 8 = 2x
[tex]\frac{(y - 2)^{2}}{2} - \frac{8}{2} = \frac{2x}{2}[/tex]
[tex]\frac{1}{2}[/tex](y - 2)² - 4 = x
x = [tex]\frac{1}{2}[/tex](y - 2)² - 4
Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)
a student concluded that has infinitely many solutions. Which statement BEST describes the student’s conclusion?
A: The conclusion is incorrect because there is exactly one solution to the equation.
B: The conclusion is correct because there are exactly two solutions to the equation.
C: The conclusion is correct because when simplified, both sides of the equation are equivalent.
D: The conclusion is incorrect because the equation has no solution.
What's the equation?
Without knowing the specific equation, it's difficult to definitively judge the student's conclusion. Assuming the equation is correctly simplified, if both sides of the equation are identical, then it has infinitely many solutions.
Explanation:The student's claim about the equation having infinitely many solutions is valid only if, upon reducing the equation to its simplest form, both sides are completely identical. Unfortunately, without knowing the specific equation in question, it's impossible to precisely identify whether the conclusion is correct or not. However, if we assume the student has correctly simplified the equation and found that both sides match exactly, then we can say that statement C: 'The conclusion is correct because when simplified, both sides of the equation are equivalent' is valid.
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Express x in terms of y for the linear equation 2/3X + 4Y = -7
ANSWER
[tex]x=-6y-\frac{21}{2} [/tex]
EXPLANATION
We have
[tex]\frac{2}{3}x +4y=-7[/tex].
Expressing [tex]x[/tex] in terms of [tex]y[/tex] means we should rewrite the relation such that [tex]x[/tex] will remain on one side of the equation while [tex]y[/tex] and any other constant will be at the other side.
To make [tex]x[/tex] the subject, we add [tex]-4y[/tex] to both sides of the equation.
[tex]\frac{2}{3}x =-4y-7[/tex].
we now multiply the whole equation by the reciprocal of the coefficient of [tex]x[/tex], which is [tex]\frac{3}{2}[/tex].
This implies that;
[tex]\frac{3}{2} \times \frac{2}{3} x=\frac{3}{2} \times (-4y)-\frac{3}{2} \times 7[/tex]
This simplifies to;
[tex]x=-6y-\frac{21}{2} [/tex]
Which formula represents the hyperbola on the graph shown below?
Note: Answer choices and graph attached below...
Answer:
Your answer choice is appropriate
Step-by-step explanation:
The orientation is vertical, so the parent function is
... y² - x² = 1
The vertical offset is -3 and the horizontal offset is positive, so the variables will be of the form (y+3)² and (x-something)². At this point, you're able to choose the correct answer.
The distance center to vertex is 13, so we know the y-term denominator is 13². We cannot tell from this graph what the x-term denominator should be, but all the answer choices are in agreement that it should be 81.
The appropriate choice is ...
... (y+3)²/169 - (x-2)²/81 = 1
Answer:
If you are looking for the answer to a graph that looks similar but slightly different, the answer is C.
This graph looks like the one above, but it is inverted, the top hyperbola reaches 15, and the bottom reaches 10. This is correct for A.P.E.X
Hope this helps I couldn't find it anywhere else on brainly.
Find the value of x (1/3)^2•(1/3)^x=1/729
[tex]\left(\dfrac{1}{3}\right)^2\cdot\left(\dfrac{1}{3}\right)^x=\dfrac{1}{729}\\\\\left(\dfrac{1}{3}\right)^{2+x}=\left(\dfrac{1}{3}\right)^6\iff2+x=6\ \ \ \ |-2\\\\\boxed{x=4}\\\\\text{used:}\\\\a^n\cdot a^m=a^{n+m}[/tex]
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
What is the solution of the equation when solved over the complex numbers?
x^2 + 27 = 0
Answer:
[tex]x=3\sqrt{3i} \\or\\x=-3\sqrt{3i}[/tex]
Step-by-step explanation:
What is the solution of the equation when solved over the complex numbers?
x2+27=0
Enter your answers, as exact values, in the boxes.
x = [tex]3\sqrt{3i}[/tex] or x =[tex]-3\sqrt{3i}[/tex]