Answer:
32
Step-by-step explanation:
Let there be n number of steps on the ladder.
First, the firefighter climbed up to the middle of a ladder. so to reach the middle of the ladder he must have climbed [tex]\frac n 2[/tex] steps.
Then, after climbed 10 more steps, the total number of stairs from the ground he climbed [tex]= \frac n 2 +10[/tex].
Then, he came back down 14 steps, so the total number of stairs from the ground he climbed [tex]= \frac n 2 +10 -14=\frac n 2 -4[/tex].
Remaining steps [tex]= n - \left(\frac n 2 -4 \right)=\frac n 2 +4[/tex]
Given that he climbed 20 steps all the way to the top of the ladder which is equal to the remaining steps. So,
[tex]\frac n 2 +4 = 20[/tex]
[tex]\Rightarrow \frac n 2 = 20-4=16[/tex]
[tex]\Rightarrow n = 16 \times 2 = 32.[/tex]
Hence, there are 32 steps on the ladder.
The radius of a circle is 12 in. Find its area in terms of \piπ.
Answer:
pi144
Step-by-step explanation:
square the radius but dont multiply by pi because the question wants you to leave it out.
hurry I need the answer in less than 90 min . Which situation represents a non-proportional relationship? 1The cost of purchasing p pounds of salmon for $7.99 per pound. 2 the amount a student makes mowing m number of lawns charging $35 per lawn. 3.The amount of water draining at a rate of 2.5 gallons per minute. 4.The total cost of renting a jet ski for $25 per hour plus a fee of $50.
Answer:
The Answer is B
Step-by-step explanation:
I just did the test
Answer:
b
Step-by-step explanation:
The number of students, SSS, serviced by the school system in the town of Emor, ttt years from 2000 can be modeled by the function S(t)=10{,}000(1.1)^t. The number of classrooms, C, in the town of Emor, t years from 2000 can be modeled by the function C(t)=450+40t. Let D be the average number of students per classroom in Emor's school system t years from 2000.
Answer:
The formula of D (t) is .1000.(1.1)/45+4t
Step-by-step explanation:
The expression representing the number of students serviced by the school system in the town of Emor, t years from 2000 is:
And the expression representing the number of classrooms in the town of Emor, t years from 2000 is: s(t)=10,000.(1.1)^t
The expression D (t) represents the average number of students per classroom in Emor's school system t years from 2000.
Then the average number of students per classroom can be computed by:
C(t)=450+40t.
Average number of students/classroom = Number of students/Number of classrooms so the answer is D (t) .1000.(1.1)/45+4t
Thus,the formula of D (t) is .
x equal??
helppp plssss
Answer:
ngghhjjhgifiufigfigiufuff
Answer:
X=4
Step-by-step explanation:
Solve the inequality.
y – 2 > 3
Answer:
hi
Step-by-step explanation:
im trying my best ill come back to this rn
The y-intercept of the line whose equation is 2x+y= 4 is 04 0-2 02
Simplify 6z^-7 (2) x² (4) ^4x^-4
Answer:
3
Step-by-step explanation:
Step-by-step explanation:
First, subtract
7
from each side of the equation to put the equation in standard form:
x
2
+
4
x
+
4
−
7
=
7
−
7
x
2
+
4
x
−
3
=
0
We can now use the quadratic formula to find the solutions for
x
. The quadratic formula states:
For
a
x
2
+
b
x
+
c
=
0
, the values of
x
which are the solutions to the equation are given by:
x
=
−
b
±
√
b
2
−
(
4
a
c
)
2
⋅
a
Substituting:
1
for
a
4
for
b
−
3
for
c
gives:
x
=
−
4
±
√
4
2
−
(
4
⋅
1
⋅
−
3
)
2
⋅
1
x
=
−
4
±
√
16
−
(
−
12
)
2
x
=
−
4
±
√
16
+
12
2
x
=
−
4
±
√
28
2
x
=
−
4
±
√
4
⋅
7
2
x
=
−
4
±
√
4
√
7
2
x
=
−
4
±
2
√
7
2
x
=
−
4
2
±
2
√
7
2
x
=
−
2
±
√
7
Or
x
=
−
2
+
√
7
and
x
=
−
2
−
√
7
Jenny is having a party. She has one
large container of soda with 179 ounces in it. A second container holds
128 ounces, but half of it has already
been used. If there are 12 people at
the party, how much soda can each
person have?
The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods. The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods.
Answer:
slope of - 63 in the context means, as the number of days increases by 1, The number of canned goods there is 63 reduction in yhe number of canned goods.
An intercept value of 825 means the Number of canned goods even when the number of days is 0.
Step-by-step explanation:
Given that:
Slope = - 63
y intercept = 825
x = number of days
y = number of canned goods
From the general form of a linear model :
y = mx + c
m = slope / gradient ; c = intercept
Hence,
y = - 63x + 825
A slope of - 63 in the context means, as the number of days increases by 1, The number of canned goods there is 63 reduction in yhe number of canned goods.
An intercept value of 825 means the Number of canned goods even when the number of days is 0.
Answer:
The slope indicates that the soup kitchen uses 63 cans per day. The y-intercept shows that there were initially 825 cans at the soup kitchen.
Step-by-step explanation:
Helpppppppp asap please with calculations pls pls pls
Answer:
For the first one it is y = -5x because for it to be direct it can't have a b-intercept. it must start at 0.
Second question: y2 - y1/x2 - x1
13-(-8)/(-4)-3
21/(-7)
-3 is the slope
y= -3x + b
13 = -3(-4) + b
13 = 12 + b
12 - 13 = b
b = -1
y=-3x-1
0 = -3x - 1
1 = -3x
1/-3 = -3x/-3
x= -1/3
y=-3x-1
y=-3(0)-1
y= -1
The answer to the 3rd question is y = 1x + 2 because the rise over run is one and the line crosses the y-intercept at 2.
I am not sure if these answers are correct.
Please help! Asap! i will give brainiest to whoever gives correct answer please help
Answer:
It is C. with x as 1 and y as 5
Step-by-step explanation:
The third choice (first values are x=1,y=5)
This is the only choice in which there is a direct, linear constant relationship between x and y. the equation would be x=5y.
Please help me with this math problem and i will mark u brainliest
Answer:
202.4 - 27 * 3 Add.
202.4 - 81 Multiply.
121.4 Subtract.
Step-by-step explanation:
I solved it from the "add" step, since you already did the rest. The problem was completed by just following the order of operations: PEMDAS.
what is 12x − y = 10 in slope form equation?
5 x 10-2 Standard notation
Answer:
50x-2
Step-by-step explanation:
A deposit plus $8 per hour.
Answer:
1, 2 or 3 hours
Step-by-step explanation:
The inequality would be $20+$8x ≤ 50
$20 deposit plus $8 per hour times the # hours so you don't go over $50 so x could be 1,2,or 3 hrs.
The domain of the following relation R {(3, -2), (1, 2), (-1, -4), (-1, 2)} is
A. {-1, 1, 3}
b. {-1, -1, 1, 3}
с. {-4, -2, 2, 2}
d. {-4, -2, 2}
PLZ HELP..8TH TIME POSTING :)) yeahhhh
Which algebraic rule describes the transformation?
Wont let me copy and paste picture .-.
Cordinates: RUST: R= -4,-1 U= -4,-3 S= -1,-1 T= -1,-3
Cordinates: R'U'S'T': R'= 4,1 U'= 4,3 S'= 1,1 T'= 1,3
A: (x,y)-----(-x,y)
B: (x,y)-----(-x,-y)
C: (x,y)-----(-y,-x)
Answer:
B
Step-by-step explanation:
(PLEASE ANSWER!) Two distinct lines, L and M, are each perpendicular to the same line N. What is the measure of the angle where line L meets line N? What is the measure of the angle where line M meets line N?
Answer:
90 and 90
Step-by-step explanation:
If they are perpendicular it means they cross at a 90 degree angle so since both L and M are perpendicular to N both the answers would be 90
Hope This Helps :)
The measure of the angle where line L meets line N is 90° ;
and the measure of the angle where line M meets line N is 90°.
What are perpendicular lines?In geometry, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).
Now it is given that,
Two distinct lines, L and M, are each perpendicular to the same line N.
Line L is perpendicular to line N.
Since angle between two perpendicular lines = 90°.
So, angle between line L and line N = 90°
Similarly, Line M is also perpendicular to line N.
Therefore, angle between line M and line N = 90°
Thus, The measure of the angle where line L meets line N is 90° ;
and the measure of the angle where line M meets line N is 90°.
To learn more about angles :
https://brainly.com/question/13524681
#SPJ6
explain why n(n-1) must be an even number
a tank containing 64 gallons lost 6 1/4% through leakage. How much remained in the tank?
Answer:
60 gal
Step-by-step explanation:
1/2z+6=3/2(z+6) need the answer asap
Answer:
z = -3
Step-by-step explanation:
[tex]\frac{1}{2}[/tex]z+6 = [tex]\frac{3}{2}[/tex](z+6)
Expand and cancel out brackets.
[tex]\frac{1}{2}[/tex]z+6 = [tex]\frac{3}{2}[/tex]z +
Simplify.
[tex]\frac{1}{2}[/tex]z+6 = [tex]\frac{3}{2}[/tex]z + 9
Isolate x and numbers.
[tex]\frac{3}{2}[/tex]z - [tex]\frac{1}{2}[/tex]z = 6-9
Simplify.
[tex]\frac{2}{2}[/tex]z = -3
z = -3
Answer:
z=−3
Step-by-step explanation:
1/2*z+6-(3/2*(z+6))=0
Simplify 3/2
1 3
((— • z) + 6) - (— • (z + 6)) = 0
2 2
Simplify 1/2
Rewrite the whole as 6.1 Pull out like factors :
-2z - 6 = -2 • (z + 3) a fraction using 2 as the denominator.
-z - 3 = 0
7.1 Solve : -z-3 = 0
Add 3 to both sides of the equation :
-z = 3
Multiply both sides of the equation by (-1) : z = -3
PLZ HELP ASAP!!!!!!!!
Answer:
Step-by-step explanation:
formula for cylinder:V=πr2h
shape of the base: circle
formula for circle: A=πr2
radius: 6.5cm
height: 16cm
V=3.14x6.5^2x16
2122.64cm^3
Answer:
Step-by-step explanation:
The formula for volume a a cylinder is V=pi*r²h
The shape of the base is circular
the formula for area of a circle is A=pi*r²
The radius is 6.5 cm
The height is 16 cm
V=pi x 6.5² x 16
The volume of the cylinder is 2123.72
Hope this helps:)
500mL is about how many cups
A: 1.1
B: 10
C: 8
D: 2.5
Answer:
the answer would be D.
Step-by-step explanation:
500 mL as cups is actually around 2.11, but since 2.5 is the closest answer, I would say it is D.
Brainliest if i am right? uwu
A research team is testing whether a fuel aditive increases a car's gas mileage. The maker of the additive claims that the additive will increase a car's gas mileage by at least 6 mpg. Among 25 cars that were treated with the additive, the average increase in mileage was 5.3 mpg with a standard deviation of 1.8 mpg. The research team found the z-score to be -1.94. Is there enough evidence to reject the company's evidence?
Answer:
Yes there is sufficient evidence to reject the company's evidence
Step-by-step explanation:
From the question we are told that
The sample size is n = 25
The mean is [tex]\= x = 5.3 \ mpg[/tex]
The standard deviation is [tex]\sigma = 1.8 \ mpg[/tex]
The z-score is z = -1.94
The null hypothesis is [tex]H_o : \mu = 6 \ mpg[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 6[/tex]
Generally the p-value is mathematically evaluated as
[tex]p-value = 2 * P( Z <-1.94)[/tex]
From the z table the area under the normal curve to the left corresponding to -1.94 is
[tex]P( Z <-1.94) = 0.02619[/tex]
=> [tex]p-value = 2 * 0.02619[/tex]
=> [tex]p-value = 0.052[/tex]
Let assume the level of significance is [tex]\alpha = 0.05[/tex]
Hence the [tex]p-value > \alpha[/tex] this mean that
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the company's evidence
Which of these triangle pairs can be mapped to each other using a single reflection?
Triangles F E G and F G L are congruent. Triangle F E G is reflected across line F G to form triangle F G L.
Triangles F E G and G L M are congruent. Triangle E F G is rotated about point G to form triangle G L M.
Triangles F E G and L M N are congruent. Triangle F E G is shifted down and to the right to form triangle L M N.
Triangles L M N and E F G are congruent. Triangle F E G is reflected across a line to form triangle L M N. Triangle L M N is also slightly higher and to the right of triangle E F G.
Answer:
the first answer (A)
Step-by-step explanation:
took it on edge 2020 (:
Answer:
A
Step-by-step explanation:
I took it on edg 2020 and got it wrong so I thought I would help you
Identifying the domain and range of the relation.
Answer:
1. The domain is (-2, -1, 0, 1) the rage is (4,2,0,2) 2. It is a function
Step-by-step explanation:
The domain in a pair is always the first number. The range is always the second number in the ordered pair.
Answer:
Domain: {−2,−1,0,1}
Range: {0,2,4}
Step-by-step explanation:
The domain is all the x-coordinates, but NEEDS TO BE ORDERED, which are {−2,−1,0,1} and you also need to include the curly brackets { }.
The range is all the y-coordinates and also NEEDS TO BE ORDERED, which are {0,2,4} and you also still need to include those curly brackets { }.
Hope this helps and answers your question! :)
Find the area of the trapezoid,
6 in.
4 in.
8 in.
7
The area is
square inches
Answer:
I think the answer is 8 inches
Which graph shows a function where f(2)= 4?
idk i guessed and got it right :)
Answer:
The 4th graph.
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
f(2)=4 means when x=2. F(x) or you may call it y, equals 4, so find the one that when x=2, y=4, then its your answer.
what is the sum of the exterior angles of a decagon
Answer:
10 exterior angles of 36° , 10 interior angles of 144° , and 10 vertices
Step-by-step explanation:
Janet collected 4 times as many bags of cans as her friend. If her friend collected 0.87 of a bag,
how much did Janet collect?
Answer:
Janet collected 3.48 bags of cans
Step-by-step explanation:
The answer is 3.48 because 0.87 multiplied by 4 is 3.48
Answer:
.384
hope this helps!