Answer:
86 ft
Step-by-step explanation:
First method: Logical thinking
Think of the position 34 ft below sea level as -34.
The position above sea level is 52.
You need to find the distance between -34 and 52.
You go from 34 ft below sea level, -34 to 0. That is 34 ft.
Then you go from sea level, 0 ft, to 52 ft above sea level. That is 52 ft.
The total is 34 ft + 52 ft = 86 ft
Answer: 86 ft
Second method: Calculate a distance in math
The distance between two points on a number line is the absolute value of the difference of their coordinates. The coordinates are -34 and 52. Subtract the numbers in either order, and take the absolute value of the difference.
|-34 - 52| = |-86| = 86
If you did it in the other order, you'd get the same answer.
|52 - (-34)| = |52 + 34| = |86| = 86
Answer: 86 ft
4. Find the volume of the figure. The base is a square.
5. Find the volume of the figure. Leave the answer in the terms of pi
Answer:
A) 283500 ft³
B) 1057.26 π in³
Step-by-step explanation:
A) Volume of square based pyramid
= 1/3 × Area of the base × height
= 1/3 × (90 ft)² × 105 ft
= 283500 ft³
B) This figure is a composite figure
Step 1
Find the volume of the cone
=1/3 πr²h
r = radius = 8.5 in
h = height = 10 in
= 1/3 × π × (8.5 in)² × 10 in
= 240.83333333 π in³
≈ 240.83 π in³
Step 2
Find the volume of the cylinder
= πr²h
= r = radius = 8.5 in
h = height = 11.3 in
= π × (8.5 in)² × 11.3 in
= 816.425 π in³
≈ 816.43π in³
Volume of the figure = (240.83 π + 816.43 π) in³
= 1057.26 π in³
The time spent by a teacher on schoolwork during the weekend is normally distributed with a mean of 6 hours and a standard deviation of 1.2 hours.
a) What amount of time do the bottom 20% of teachers work?
b) What amount of time do the top 20% of teachers work?
c) What amount of time do the middle 40% of teachers work?
Ill Give Brainlest if u can answer both!!!!
Answer:
Question 5 is D.
Question 6 is C.
Step-by-step explanation:
Answer:
Question 5: 96 ÷ g
Question 6 : 76
Step-by-step explanation:
Function 2
+ 4x + 1
Function _
has the larger maximum.
(Put 1 or 2 in the blank space)
Answer:
Function 2 has larger max value.
Step-by-step explanation:
We know that the graph of Function 1 has the maximum value of 1 at x = 4 by looking at the graph.
But since we don't know what the maximum value of Function 2 is (Because Function 2 isn't given as a graph but rather an equation.) which means that we have to find the maximum value of Function 2.
[tex] \large{f(x) = - {x}^{2} + 4x + 1}[/tex]
It is not necessary to find x-value for a function because we want to know which function has larger maximum value. We will be using the formula below.
[tex] \large \boxed{y = \frac{4ac - {b}^{2} }{4a} }[/tex]
As you may know, a max-min value is indeed y-value. From Function 2, we know the value of a, b and c from standard form y = ax²+bx+c
Substitute our a, b and c in the formula.
[tex] \large{y = \frac{4( - 1)(1) - {(4)}^{2} }{4( - 1)} } \\ \large{y = \frac{ - 4 - 16}{ - 4} } \\ \large{y = \frac{ - 20}{ - 4} = 5}[/tex]
Since our maximum value or y-value is 5 for Function 2. Since we also know that Function 1 has 1 as maximum value and Function 2 has 5 as maximum value. Therefore, Function 2 has larger maximum value.
Find the value of x.
A straight line = 180 degrees.
180 - 114 = 66 degrees
Charles road his bike due west 17 miles, then turned due south and rode another 13 miles. About how far was he from his starting point?
a
17.5 mi
b
21.4 mi
c
13.6 mi
d
10.9 mi
Answer:
21.4 miles (Answer A)
Step-by-step explanation:
17 miles west and then 13 miles south can be represented by a triangle whose leg lengths are 17 miles and 13 miles respectively. We use the Pythagorean Theorem to find the length of the hypotenuse of this triangle; the hypotenuse length is the straight line distance between starting and end points:
d = √(13² + 17²) miles, or d = 21.4 miles
What is the value of x in the equation 3x − 2 = x + 8?
Answer:
x=5
Step-by-step explanation:
We need to find the value of x the given equation: 3x-2=x+8
the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side
here's the equation:
3x-2=x+8
first, add 2 to both sides
3x-2=x+8
+2 +2
___________
3x=x+10 (2 goes away on the left side, as -2+2=0)
now, subtract x from both sides
3x=x+10
-x -x
______
2x=10 (x goes away on the right side, as x-x=0)
we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)
divide both sides by 2
x=5 (because 2x/2=1x, or x. 10/2=5).
therefore, the value of x is 5
Hope this helps!
what is 0.7777 rounded 3 decimal places ?
Answer:
0.778
Step-by-step explanation:
This is because 7 is greater than 5 so you would round it up.
Answer:
0.778
Step-by-step explanation:
0.7777 rounded to the nearest 0.001 or the thousandths place.
Borox is loading a freight elevator with 12 boxes: 4 small, 5 medium, and 3 large. A small box and medium box together weigh 20 pounds; a medium box and a large box together weigh 28 pounds, and a large box with a small box weighs 24 pounds. What is the total weight of the 12 boxes?
Answer:
140 pounds
Step-by-step explanation:
let s == small box
m = medium box
= large box
the following 3 equations can be derived from the question
s + m = 20 equation 1
m + l = 28 equation 2
l + s = 24 equation 3
make m the subject of the formula in equation 1 and 2
m = 20 - s equation 4
m = 28 - l equation 5
equate equation 4 and 5
20 - s = 28 - l
l - s = 8 equation 6
solve equation 3 and 6 using simultaneous equation
l + s = 24 equation 3
l - s = 8 equation 6
subtract equation 6 from 3
2s = 16
s = 8
substitute for s in equation 1
8 + m = 20
m = 12
substitute for m in equation 2
12 + l = 28
l = 16
total weight = (4 x 8) + (5 x 12) + (16 x 3) = 140 pounds
Jack decides to coast to a stop on his bicycle, so he quits pedaling. The table represents his velocity (in meters per second) as a
function of time (in seconds). According to the table, which point is the y-intercept on a graph representing the data?
A) (0,0)
B) (0, 12)
C) (12,0)
D) (0, 20)
Answer:
1 cubic meter (m3) is equal to how many cubic center meters(cm3)Answer:
B if your doing prep
Step-by-step explanation:
math
use f(x) = 2x-9 and g(x)=9-x^2 to evaluate g(f(3))
Answer:
g(f(3)) = 0
Step-by-step explanation:
f(x) = 2x - 9
f(3) = 2(3) - 9
f(3) = -3
g(-3) = 9 - (-3)^2
g(-3) = 9 - 9
g(-3) = 0
Brianna has 3 posters she wants to hang on the wall. How many different ways can
the posters be arranged in a row?
The answer is 6
Answer:
print them out or something
The radius of a circle is 2 m. Find the circumference to the nearest tenth.
Answer:
25.13 or 25.1
Step-by-step explanation:
2 x pi/3.14x4
Answer:
12.6
Step-by-step explanation:
circumference=2πr
=2 x 3.142 x 2
= 12.6 to the nearest tenth
Lemon Yellow paint can be made by
mixing 5 gallons of yellow paint and
2 gallons of white paint. How many
gallons of yellow paint should be
mixed with 9 gallons of white paint
to make Lemon Yellow?
Need help dhdudhehebdhdbdhdbdhbdbdbshsshhshsshhshsshhshs
A pole with a height of 50 feet casts a shadow 50 feet long. Find the angle of elevation of the sun at this point in time.
(please explain the best you can )
Answer:
0 = 30.96
Step-by-step explanation:
because math
The data in the table below shows the
number of degrees the temperature rose
after sunrise on a particular day. Determine
if this data represents a proportional
relationship. If yes, give the rate.
Hours
Past
Sunset
Degree
Change
3
5.25°
4.
7°
6
10.5°
8
14°
Solve equation
4x-1=0
Answer:
x=1/4
Step-by-step explanation:
Answer:
4x-1=0
+1 +1
4x=1
/4 /4
x= 0.25 or 1/4
Step-by-step explanation:
i hope this helps :)
What is the slope of a line that passes through (2, -5) and (6, -2)? Question 3 options: -4/3 -3/4 3/4 4/3
Answer:
C 3/4
Step-by-step explanation:
(2,-5) and (6,-2)
To find the slope, you subtract the 2 y-coords and the 2 x-coords.
-2-(-5)=3
6-2=4
So the slope is 3/4 or C.
---
hope it helps
Answer:
3/4
Step-by-step explanation:
(2, -5) and (6, -2)
Slope:
m=(y2-y1)/(x2-x1)
m=(-2+5)/(6-2)
m=(3)/4
m= 3/4
Dave rolled a number cube 10 times and recorded the frequency of each result in this table.
According to the table, what is the experimental probability in simplest form that the number cube shows 6?
A. 1/10
B. 1/6
C. 3/10
D. 1/2
. Parallel lines A and B are cut by transversal, t, as shown below. Use the relationship of the marked angles above to find the correct value of x.
Answer:
x = 30
Step-by-step explanation:
These angles form supplementary angles meaning they add up to 180°.
[tex]5x-40+2x+10=180\\7x-30=180\\7x=210\\x=30[/tex]
will mark brainliest will mark brainliest
Answer:
1) SAS
2) SSS
3) SSA
4) ASA
5) No, not enough corresponding info given
Answer:
1) SAS
2) SSS
3) SSA
4) ASA
5) Sorry I don't know
Please mark me as the brainliest
1) which rule best describes the following pattern?
8,4,10, 6, 12, 8, 14, ...
1) Divide by 2, add 6, subtract 4, repeat
) Subtract 4, add 6, repeat.
» Subtract 4, add 6, subtract 6, repeat.
Divide by 2, add 6, repeat
Answer:
Step-by-step explanation:
Option C is the correct answer
Of the total students at Martin Middle School, 224 students are picked up by their parent at dismissal. If this is 28% of the total number of students, how many students are at Martin Middle School altogether ?
Answer:
800
Step-by-step explanation:
28/100 =224/x
28x/28 = 22400/28
write 43600000×56000 in scientific notation
Answer:
(4.36x10^7)x(5.6x10^4)
Step-by-step explanation:
To answer the question what is 43600000 in scientific notation let’s recall how to convert 43600000 to scientific notation as detailed on our home page.
When you split the number 43600000 into a coefficient and a power of 10 you do get 43600000 in exponential form, but there is an indefinite number of possibilities.
As you probably want 43600000 in normalized scientific notation, the coefficient or significand of 43600000 in scientific notation must be in the interval [1,10[.
As there are many ways to express 43600000 in scientific notation, in this post we mean 43600000 in normalized scientific notation, unless stated otherwise. Therefore:
43600000 in scientific notation = 4.36 × 107.
Now you can do that for the other one to found out what it is equal to.
4x²=9/16 Solve the equation and show your work.
( pls help i’ll give the brainliest and quick) In the equation (x-3)2+(y-2)2=16, the center of the circle is...
(3,2)
(-2-3)
(-3,-2)
Quadrilaterals DONT and WALK are similar. Find the length of side DO.
(15 Points)
Send ASAP PLSS
The table shows the admission fees to one conservatory at Gardens by the Bay. Mr Tan and his friends planned a group visit for three adults and nine children. Find the amount of money they had to pay for their tickets.
per adult $2.
Per child $8.
Answer:
78$
Step-by-step explanation:
3 adults, 2 dollars per adult. Multiply. 3(2) = 6
9 children, 8 dollars per child. Multiply. 9(8) = 72
Add to get total sum of money they needed to pay. 72+6 = 78
Is (x+4)^2 equivalent to 2x^2+8x+8? Explain or show your reasoning.
answer: no because they have different x values
(x + 4) 2 —> 2x + 8
2 x 2 + 8x + 8 —> 8x + 12
teachers response:
Your answer is correct in that they are not equivalent. But I need you to show me what (x+4)^2 equals. First, you would write it this way: (x+4) (x+4). Now, multiply these binomials…what do you get?
please help!!
Answer:
It's wrong because the y intercepts are different
Step-by-step explanation:
The box method is OP for these kind of questions
If I don't do a good job explaining it then I reccomend you consult the internet
The expression (x + 4)² is not equivalent to the expression 2x² + 8x + 8.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (x + 4)²
Simplify the expression, then we have
⇒ (x + 4)²
⇒ (x + 4)(x + 4)
⇒ x² + 8x + 16
Thus, the expression (x + 4)² is not equivalent to the expression 2x² + 8x + 8.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ3