Step-by-step explanation:
[tex]4x + 2 = 90 \\4x = 88 \\ x = 22[/tex]
A spider is trying to climb a wall that is 15 metres high. In each hour, it climbs up 3 metres, but falls back 2 metres. In how many hours will it reach the top of the wall?
The spider needs 15 hours to climb up the top of the wall.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
A spider is trying to climb a wall of height = 15 meters
In each hour, it climbs up 3 meters but falls back 2 meters,
⇒ [tex]+3-2=1[/tex]
Thus spider climbs 1 meter per hour.
For 15 meter wall, the spider needs 15 hours to climb up the wall.
Hence we can conclude that the spider needs 15 hours to climb up the top of the wall.
Learn more about word problems here
brainly.com/question/20594903
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Suppose that sand is falling to form a circular cone whose radius and height are the same, as in the picture. Suppose that twenty cubic meters of sand falls every minute, so that the volume of the cone of sand is increasing at the rate of 20 m3/min. When the cone of sand is ten meters high, what is the at which the height of the cone is increasing (in meters per minute)
Which pair(s) of numbers has (have) a greatest common factor of 9?
Select ALL that apply.
89 and 18
49 and 27
45 and 63
36 and 54
18 and 63
Answer:
45 and 63
36 and 54
18 and 63
Step-by-step explanation:
what does 5 × 100 equal
Answer: 500.
Step-by-step explanation:
Your answer is 500.
o The day before the exam, Rebecca does a practice run. She attempts 20 glass vases and breaks 3 of them. What is her success rate, shown as a decimal?
Answer:
If the goal is to break the vases: 3/20 = 15.0% or 0.15
If the goal is to not break the vases: 17/20 = 85.0% or 0.85
If f(x)= 2(3 to the power of x) +1 what is the value of f(2)
Answer:
19
Step-by-step explanation:
f(x)= 2(3^x) + 1
f(2)= 2(3^2) + 1
= 2(9) + 1
= 18 + 1
= 19
Please help!!! Also if you could show work I need it!
3, -12, 48, -192, ...
Find the common ratio for the geometric
sequence.
can someone help me solve this
(show work)
Answer:
y=x+31.25
Because x stand for cauclator so 31.25 per x so it would end up being x+31.25
Step-by-step explanation:
There are 2.2 pounds in a kilogram how many pounds is 10.5 kilograms?
HELP HELP 20 Points
Geometry
270° → [tex] \frac{3π}{2} [/tex] ≈ 4.7
360° → [tex] 2π [/tex] ≈ 6.3
60° → [tex] \frac{π}{3} [/tex] ≈ 1.1
45° → [tex] \frac{π}{4} [/tex] ≈ 0.8
135° → [tex] \frac{3π}{4} [/tex] ≈ 2.4
225° → [tex] \frac{5π}{4} [/tex] ≈ 3.9
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
x=76
Step-by-step explanation:
The two marked angles are alternate angles, which means they're equal.
Answer
76%
Step-by-step explanation:
I think its defiantly not 104 because its smaller than 90% and not 41% because that's to small same with 67% so it is 76%
7.2.8 Scientists at the Hopkins Memorial Forest in western Mas- sachusetts have been collecting meteorological and environmen- tal data in the forest data for more than 100 years. In the past few years, sulfate content in water samples from Birch Brook has averaged 7.48 mg/L with a standard deviation of 1.60 mg/L. a. What is the standard error of the sulfate in a collection of 10 water samples
Answer:
The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Standard deviation of 1.60 mg/L.
This means that [tex]\sigma = 1.6[/tex]
Collection of 10 samples:
This means that [tex]n = 10, s = \frac{1.6}{\sqrt{10}} = 0.506[/tex]
The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.
what makes 1/3 x > 12 true
Answer:
I dont know I am sorry I really had to ask a question and i don't have enough points so sorry you can report me if you want but I really need some
PLEASE HELP NO SCAM LINK OR REPORTED :) THANKS
Answer: b
Step-by-step explanation:
2x is x doubled
and then add 5 to the product
Find the perimeter of the semicircular region
22 mm
Answer:
The permiter is 22mm since its still the same
Step-by-step explanation:
Which of the following is the radical expression of2 times d to the seven tenths power? (2 points)
a
seventh root of 2 d to the tenth power
b
tenth root of 2 d to the seventh power
c
2 times the tenth root of d to the seventh power
d
2 times the seventh root of d to the tenth power
How many cubes with side lengths of 1/4 cm does it take to fill the prism?
Answer:2 14
Step-by-step explanation:
9514 1404 393
Answer:
135
Step-by-step explanation:
The prism is 9/4 cm = 9×(1/4 cm) = 9 cubes wide.
The prism is 3/4 cm = 3×(1/4 cm) = 3 cubes deep.
The prism is 5/4 cm = 5×(1/4 cm) = 5 cubes high.
The number of cubes that will fill the prism is ...
9 × 3 × 5 = 135 . . . cubes to fill the prism
PLEASE HELPPP
Given △ABC and altitude AH, decide whether each statement is necessarily true about △AHC. Select Yes or No for A − C.
ge80512
A. AH < HC
A Yes B No
B. AH < AC
A Yes B No
C. △AHC ≅ △AHB
Answer:
(a) AH < HC is No
(b) AH < AC is Yes
(c) △AHC ≅ △AHB is Yes
Step-by-step explanation:
Given
See attachment for triangle
Solving (a): AH < HC
Line AH divides the triangle into two equal right-angled triangles which are: ABH and ACH (both right-angled at H).
To get the lengths of AH and HC, we need to first determine the measure of angles HAC and ACH. The largest of those angles will determine the longest of AH and HC. Since the measure of the angles are unknown, then we can not say for sure that AH < HC because the possible relationship between both lines are: AH < HC, AH = HC and AH > HC
Hence: AH < HC is No
Solving (b): AH < AC
Length AC represents the hypotenuse of triangle ACH, hence it is the longest length of ACH.
This means that:
AH < AC is Yes
Solving (c): △AHC ≅ △AHB
This has been addresed in (a);
Hence:
△AHC ≅ △AHB is Yes
Which figures can have all of the properties shown below?
2 pairs of parallel sides
Sides that are perpendicular
Opposite sides that are equal
square, pentagon, rectangle
trapezoid, triangle, square
quadrilateral, square, rectangle
rectangle, hexagon, square
Answer:
Quadrilateral, square, rectangle
Step-by-step explanation:
An object have parallel sides if the sides have the same distance apart and they never meet.
Quadrilaterals usually have parallel sides
Polygons including triangles and pentagons do not have parallel sides
the sides of a quadrilateral are also perpendicular. the sides form a 90 degree angle with each other
Opposite sides of a quadrilateral are usually equal. For example, the opposite lengths of a rectangle are equal. the four sides of a square are equal
how a single number could be a ratio?
Step-by-step explanation:
For example, the number 5 can be written as [tex]\frac{5}{1}[/tex] . And that [tex]\frac{5}{1}[/tex] can also be written as 5:1, which is a ratio. By converting the single number to a fraction, then converting the fraction into a ratio, you can turn a number into a ratio.
Hope this helps.
What is the solution of 4x + 10 = 30?
X =
If 2 people answer then I’ll mark one of them brain list(that give me the correct answer)
How to show full work on this one topic is angles formed by 2 chords and secants
Answer:
m<STR=149 degree
Step-by-step explanation:
To find m<STR
m PQ=186 degree
mSR=112 degree
m<STR=1/2(m PQ+MSR)
m<STR=1/2(186 +112)
⇒1/2(298)
answer⇒149
hope it helps...
Hunh put $3000 into a savings account that earns 6% simple interest annually. After six years, how much money will Hunh have?
Answer:
4,080.00
Step-by-step explanation:
The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 6% per year for 6 years is $4,080.00.
Find the slope and y - i intercept of the line y = 4/3 * x - 3 .
Answer:
(2,-4)
hope this helps
Step-by-step explanation:
Answer:
slope: 4/3
y-intercept: -3
Step-by-step explanation:
the number before x is the slope.
the number at the end of the equation is the y-intercept.
What is the slope of the line 3y = 4x + 5?
Answer:
4/3
Step-by-step explanation:
24 x 2y = 210
and
2x + 2 =22
Work out the value of x and the value of y
Answer:
2x + 2 = 22
subtract 2 from both sides
= 2x = 20
x = 10
=======
24 x 2y = 210
subtract 24 on both sides
2y = 176
y = 88
Answer:
X=20
Y=\frac{35}{8x}
Step-by-step explanation:
8. Change the fraction 3/4 to a percent.
A. 133%
B. 75%
C.63%
D. 34%
Answer:
B. 75%
Step-by-step explanation:
multiply the numerator and the denominator by 25. 3*25/4*25=75/100. 3/4=75%.
Answer:
75%
Step-by-step explanation:
Start by converting the fraction 3/4 into decimal
Divide the numerator by the denominator: 3 ÷ 4 = 0.75
Multiply the decimal by 100 and write the result with the percentage sign at the end 0.75 × 100 = 75%.
your awnser is, 3/4 = 75%
(sorry if this doesnt
make sence)
Maximizing yield. Hood Apple Farm harvests an average of 30 bushels of apples per tree when 20 trees are planted on an acre of ground. If 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per tree as a result of crowding. How many trees should be planted on an acre in order to get the highest yield
Answer:
In order to get the highest yield, 25 tress should be planted
Step-by-step explanation:
Given the data in the question;
Let n be number bushel, b is bushels per tree, t is number of trees
from the question, if t = 20, b = 30
and if t = 21 then b = 29
so t + b is constant
t + b = 50 ----- let this be equation
now, n = t × b
so b = n / t
hence from equation, we input b = n/t
t + n/t = 50
n/t = 50 - t
n = t(50 - t)
n = 50t - t²
now we get the derivatives
Note, The maximum amount of trees is simply where the derivative is equal zero, so;
0 = 50 - 2t
2t = 50
t = 50/2
t = 25
Therefore, In order to get the highest yield, 25 tress should be planted
please help me with this :D
Answer:
b=24
Step-by-step explanation:
the sides are equal to each other so
b+24=2b
24+24=2 times 24
48=48
so b=24