Answer:
b
Step-by-step explanation:
After a bone, wood fragment, or shell is buried in sediment, it may be exposed to mineral-rich water that moves through the sediment. This water will deposit minerals into empty spaces, producing a fossil. Fossil dinosaur bones, petrified wood, and many marine fossils were formed by permineralization.
Answer: fossils can be formed only when a living thing is buried soon after it dies. If it is not buried soon enough, it decays. For this reason, most fossils are found in sedimentary rocks that were once under water.
Step-by-step explanation:
A cuboid with a volume of 925cm^3 has dimensions.
4cm, (x + 1) cm and (x + 11) cm.
Show clearly that x^2 + 12x - 220 = 0
Solve the equation by factorising, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.
Answer:
Step-by-step explanation:
Volume of the cuboid = Length * Width * Height
Given
Length = 4cm
Width = (x+1)cm
Height = (x-11)cm
Volume of the cuboid = 4(x+1)(x+11)
Volume of the cuboid = 4(x^2+11x+x+11)
Volume of the cuboid = 4(x^2+12x+11)
Volume of the cuboid = 4x*2+48x+44
925 = 4x*2+48x+44
4x*2+48x+44-925 = 0
4x*2+48x-881 = 0
Divide through by 4
x^2 + 12x - 220.25 = 0
Factorize using the general formula;
x = -12±√12²-4(-220.25)/2
x = -12±√144+881/2
x = -12±√1025/2
x = -12±32/2
x = 12+32/2
x = 20/2
x = 10
Hence the dimension of the cuboid is 4cm, (10+1)cm and (10+11)cm
Dimension is 4cm by 11cm by 21cm
What is 400,000 in scientific notation?
O A) 40 x 104
OB) 400 x 103
OC) 4 x 106
OD) 4 x 105
Answer:
4 x 10⁵
so that i think will be OD)
Is the relation in the mapping below a function? Explain.
Domain
1,3,5,7
Range
2,4,6
Answer: No
Step-by-step explanation:
The range and the Domain aren’t equal
A carpenter use 65 shelves to make 13 bookcases. She uses the same number of shelves for each bookcase. Are 32 shelves enough to build 6 more bookcases?
Answer:
Yes.
Step-by-step explanation:
First, find the unit rate for 1 bookcase.
65 ÷ by 13 = 5 (unit rate)
Then, multiply the unit rate by the bookcases the carpenter wants to make.
6 · 5 = 30
Finally, subtract the shelves the carpenter wants to use by 30.
32 - 30 = 2 shelves.
Therefore, 32 shelves is enough to build 6 more bookcases. <3
write 9.68 in expanded form
Answer:
9+0.6+0.08
Step-by-step explanation:
The given decimal number in expanded form is 9+0.6+0.08.
The given decimal number is 9.68.
What is expanded from of a decimal number?Unlike whole numbers, decimal numbers can also be written in the expanded form. For writing the decimals in expanded form, we multiply each of the decimal digits with increasing exponent values of (1/10).
Now, the expanded form of 9.68 is
9×1 + 6×1/10 + 8×1/100
= 9+0.6+0.08
= 9.68
Therefore, the given decimal number in expanded form is 9+0.6+0.08.
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Simplify 45 / 3 + 2 * 8 - 12 + 42
Answer:
61
Step-by-step explanation:
A rock is thrown from a cliff into a ravine. The function ℎ() = −16^2 + 19 + 2560 describes the height, in feet, of the rock from the ground seconds after it is thrown. What is the height of the rock, in feet, 2 seconds after it is thrown?
Answer:
d
Step-by-step explanation:
D=
R=
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.
Answer:
Step-by-step explanation:
D = { - 4 , 0 , 2 , 7 }
R = { - 8 , - 1 , 3 }
Yes the relation is a function.
HELP ASAP OTS DUE IN 5 MINUTES!!!!
Find the slope of the line.
0-5
0 -1
O 1
None of the above
Answer:
0 -1
Step-by-step explanation:
because the line is going down which is negative
A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $1$ unit to the right, but, from any positive position on the line, she randomly moves left or right $1$ unit with equal probability. What is the expected number of times the mosquito will visit $0$ before the first time she visits $4$?
The expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
Given that repeatedly throwing a fair tetrahedral die, trying to get a 4 (success) before getting a number from 1 to 3 (failure), which follows a geometric distribution.
To find the expected number of visits to 0 before reaching 4, analyze two cases:
success (reaching 4 before 0) and failure (reaching 0 before 4).By the given data, the probabilities of two cases are:
P(success) p = 1/4,
P(failure)=3/4.
The expected count of failures, X, can be found in terms of success probability p as
[tex]E[X]=\sum_{x=0}^{+\infty}[x(1-p)^xp][/tex]
On substituting p = 1/4 gives:
[tex]E(X) = 0(1/4)+1(3/4)(1/4)+2(3/4)^2(1/4)+3(3/4)^3(1/4)+.........[/tex]
On taking (1/4) gives
[tex]E(X) = 1/4[3/4+(3/4)^2+(3/4)^3+......+\infty]----(1)[/tex]
Consider [tex]3/4+(3/4)^2+(3/4)^3+......+\infty[/tex]
This forms a geometric series tends to infinity and the sum is given by :
[tex]S_\infty = a/(1-r)[/tex]
Here: a= 3/4
r = 3/4
Plugging these values into formula gives:
[tex]3/4+(3/4)^2+(3/4)^3+......+\infty = S_\infty[/tex]
[tex]S_\infty= 3/4/(1-3/4)[/tex]
On subtracting the denominator gives:
= 3/4/(1/4)
On taking reciprocal gives:
= 3/4 * 4
On simplifying gives:
= 3
Substituting these value into given equation 1 gives:
E(X) = 1/4*[3]
On multiplying gives:
E(X) = 3/4.
Therefore, the expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
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Find the slope of the line that contains (1, 6) and (10.-9).
Answer:
-5/3
Step-by-step explanation:
m=−9−6/10−1
m=−15/9
Slope=
−15/9=−5/3
2x+3y = 17
2y + z = 1
5x +10z = 25
Find x
Answer:
x = 7
Step-by-step explanation:
Given the equations
2x + 3y = 17 → (1)
2y + z = 1 → (2)
5x + 10z = 25 → (3)
Rearrange (2) expressing z in terms of y
z = 1 - 2y
Substitute z = 1 - 2y into (3)
5x + 10(1 - 2y) = 25
5x + 10 - 20y = 25 ( subtract 10 from both sides )
5x - 20y = 15 → (4)
Multiply (1) by 20 and (4) by 3, then add to eliminate the y- term
40x + 60y = 340 → (5)
15x - 60y = 45 → (6)
Add (5) and (6) term by term to eliminate y, that is
55x = 385 ( divide both sides by 55 )
x = 7
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
From the equation [tex]2y + z = 1[/tex] , we can separate [tex]z[/tex] so that [tex]z = 1-2y[/tex].
The equation [tex]5x+10z = 25[/tex] can then be turned into:
[tex]5x+10(1-2y) = 25[/tex]
[tex]5x+10-20y = 25[/tex]
[tex]5x -20y = 15[/tex]
[tex]x-4y = 3[/tex] (divide by [tex]5[/tex] on both sides)
We can now use elimination to solve for one of the variable:
[tex]2(x-4y) = 2\times3[/tex] (times 2 to get [tex]2x[/tex] for elimination)
[tex]2x-8y=6[/tex]
[tex]2x+3y-(2x-8y) = 17-6[/tex]
[tex]11y = 11[/tex]
[tex]y = 1[/tex]
Now, we can use substitution to solve for [tex]x[/tex]:
[tex]2x+3y = 17[/tex]
[tex]2x+3 = 17[/tex]
[tex]x = 7[/tex]
Hope this helps :)
Write the equation in slope-intercept form 2x−8y=24
Answer:
y=1/4x - 3
Step-by-step explanation:
Answer:
[tex]y=\frac{1}{4}x-3[/tex]
Step-by-step explanation:
i'm doing a math worksheet and its asking me to describe the stair of a slope. what does that mean??
Answer:
i believe its the rise and the run of the slope.
Step-by-step explanation:
i believe its something similar to this photo
Find the percent of decrease from 27 to 18.
PLEASE HELP
-33.33333333333333 %A change from 27 to 18 represents a negative change (decrease) of -33.33333333333333%
Use the formula found below on this webpage to find the percent changeby replacing the given values:Percent change = New - Old|Old| 100%Percent change = 18 - 27|27| x 100 = -927 x 100 = -33.33333333333333decrease)
Where: 27 is the old value and 18 is the new value. In this case we have a negative change (decrease) of -33.33333333333333 percent because the new value is smaller than the old value.
The Answer is: -33.33333333333333% or 33.3Find the area of the shape below
Answer:
????
Step-by-step explanation:
Answer:
where's the shape
Step-by-step explanation:
what's the length and width, maybe I can help
Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?
Answer:
First payment (50%) would be 512$
The next two payments would be 32$ each
Explanation:
.5(1024)= 512
.25(512)=128
.25(128)= 32
In triangleABC, a = 1.4 cm, b = 1.5 cm and c=1.5 cm. Find the measure of angleA to the nearest 10th of a degree.
Answer:55.6
Step-by-step explanation:
Answer:
55.6
Step-by-step explanation:
A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 60 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same.
An equation for each situation, in terms of t, is y = 850e^35t and
y = 700e^70t
The required equation will be in the form y = Ae^kt
where:
k is the growth constantA represents the number of students in High School A in t years.B represents the number of students in High School B after t years.If High School A currently has 850 students and is projected to grow by 35 students each year, hence;
A = 850k = 35 (growth factor)Substituting into the formula, we will have:
y = 850e^35t
If High School B currently has 700 students and is projected to grow by 60 students each year, hence;
A = 700k = 60 (growth factor)Substituting into the formula, we will have:
y = 700e^70t
An equation for each situation, in terms of t, is y = 850e^35t and
y = 700e^70t
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The length of a rectangle is represented by 4 + 6x. The width is half the length. What expression represents the perimeter of the rectangle? Explain your reasoning
Answer:
12+18x is the perimeter
Step-by-step explanation:
4+6x+4+6x+1/2(4+6x)+1/2(4+6x)=
3(4+6x)=
12+18x
what are the three products of celullar respiration
Answer:
Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.
Step-by-step explanation:
Find two integers whose sum is 19 and product is 90
Answer:
Step-by-step explanation:
The two integers are 10 and 9
10 + 9 = 19
10 x 9 = 90
The two numbers are 9 and 10.
What are integers?A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero
Let the two integers be x and y.
Given that, the sum of the integers is 19, therefore,
x + y = 19
x = 19 - y
Given that, the product of the integer is 90:
xy = 90
(19-y)y = 90
19y - y² = 90
y² -19y + 90 =0
y² -10y - 9y + 90 = 0
y(y - 10) -9(y - 10) = 0
(y -9)(y - 10) = 0
y = 9 and y = 10
Hence, the two numbers are 9 and 10.
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PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can help
Answer:
22 units
Step-by-step explanation:
Known Quantities:
AB = CD and AC = BDCalculations:
AB = 8AC = 3CD = 8BD = 3Final Calculations:
perimeter = 2 x (3+8)perimeter = 227. What is the mass of 20.6cm3 of iron if iron
has a density of 7.87g/cm3?
A. 162.1 g/cm3
B. 162.1 cm3
C. 162.1 g/mL
D. 162.1 g
Answer:
Option B
Step-by-step explanation:
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Which system of linear inequalities is graphed?
I would have put C. Because if you look at the triangle it makes then do the math with squared numbers then you should get c.
What is the slope of the line that passes through the points (7,−6) and (4, -6) ? Write your answer in simplest form.
the answer is m = 0. i hope this helps-
1. The sum of a number and ten.
Answer:
x+10
Step-by-step explanation:
sum = addition (+)
number = variable because we don't know what the number is yet (x)
ten=ten
So by this we can get x+10
What is the answer to this
2(x-5)-6=-18
x=___
Answer:
x= -1
Step-by-step explanation:
Distribute:2(x -5) -6 = -18
2x -10 -6 =-18
Subtract the numbers:2x -10 -6 =-18
2x -16 = -18
Add 16 to both sides of the equation:2x =16 += -18
2x -16 +16 = -18 +16
Simplify:2x = -2
Divide both sides of the equation by the same term:2x/2 = -2/2
Simplify:x=-1
Answer:x = -1
5, 18, 6, 18, 13 WHATS THE INTERQUARTILE RANGE??
Answer: 12.5
Step-by-step explanation:
25th Percentile: 5.5
50th Percentile: 13
75th Percentile: 18
Interquartile Range: 12.5
Solve for x in the equation: 2x-7=14
Answer: x=10.5
Step-by-step explanation:
To solve for x, we want to use our properties to isolate x.
2x-7=14 [add both sides by 7]
2x=21 [divide both sides by 2]
x=10.5
Now, we know that x=10.5.