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Related Questions
Which improper fraction is equal to the mixed number 4 7/9 btw its a mixed number fraction
A. 37/9
B. 47/9
C. 43/9
D. 20/9
plz help asap
Answers
Child development
What have researchers learned about the relationship between longer childhoods and brain development?
Answers
Longer childhoods are closely linked to brain development, enhancing cognitive abilities by allowing more complex neuronal connections and greater adaptation to environmental stimuli. Extended brain development is also associated with increased brain plasticity, leading to better adaptability and higher complex problem-solving skills.
Explanation:Research has found a significant relationship between longer childhoods and brain development. Humans have one of the longest childhoods among species, a period during which our brains continue to develop and mature significantly. This extended period of growth allows for more complex neuronal connections and adaptation to environmental stimuli, thus enhancing cognitive abilities.
A long childhood provides ample opportunities for learning and skill acquisition, and it is during this period that the brain is especially receptive to picking up new information. More prolonged brain development during childhood also tends to be associated with increased brain plasticity, meaning the brain's ability to change and adapt as a result of experiences. This plasticity aids in the formation of our identities and equips us to handle complex tasks and challenges as we grow.
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factor completely: x^3+8x^2+7x
Answers
x(x^2 + 8x + 7)
now it's x multiplied by a typical parabolic equation. factor this normally by seeing what multiplies to give 7 and adds to give 8.
x(x + 7)(x + 1)
It takes 69 pounds of seed to completely plant an 8 -acre field. how many acres can be planted per pound of seed? math
Answers
In this you simply need to divide both sides by 69:
69/69 = 1
8/69 = 0.1159...
There is no whole number for this answer.
Therefore, your answer is the value for 8/69.
Hope This Helps You!
Good Luck :)
- Hannah ❤
Directions: Use a proportion to solve the problem.
Emily weighs six times as much on Earth as she does on the Moon. If her weight is ninety pounds on earth, what would her weight be on the moon?
Answers
now, if 1lb on the moon is 6lbs on earth, how much is 90 earth lbs on the moon?
[tex]\bf \begin{array}{ccll} moon&earth\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&6\\ m&90 \end{array}\implies \cfrac{1}{m}=\cfrac{6}{90}\implies \cfrac{1\cdot 90}{6}=m[/tex]
What is a 401(k) plan? an investment plan offered by an insurance company a retirement plan offered by employers a personal retirement plan
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Express terms in i square root -40
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Use your calculator to evaluate the limit of x equals 1 to 3 of e raised to the x squared power, dx. Give your answer to the nearest integer.
Numerical Answers Expected!
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∫1-3 e^(X^2) dx.
Solving using scientific calculator, we have 1443.082471 or simply 1443.
ANSWER: 1443
Which statements are true about the ordered pair (−4, 0) and the system of equations? {2x+y=−8x−y=−4
Select each correct answer.
The ordered pair (−4, 0) is a solution to the first equation because it makes the first equation true.
The ordered pair (−4, 0) is a solution to the second equation because it makes the second equation true.
The ordered pair (−4, 0) is not a solution to the system because it makes at least one of the equations false.
The ordered pair (−4, 0) is a solution to the system because it makes both equations true.
Answers
As Marta built a square fence around her garden, she wondered how much she would have to pay if she increased the length of each side of the fence by the same number of meters. Each meter of fence costs 3 dollars. Which of the following functions best describes the additional amount of money Marta will have to spend, in dollars, if she increases each side of the fence by m meters?
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Suppose the she increases each side of the fence by m meters, then the total increase to the four sides of the square is given by 4m.
Given that each meter of fence costs 3 dollars, therefore, the function that best describes the additional amount of money Marta will have to spend, in dollars, if she increases each side of the fence by m meters is given by C = 12m.
How to find the values of the six trigonometric functions for 180?
Answers
so sin 180 = 0/1 = 0, cos 180 = -1/1 = -1 and tan 180 = -0/-1 = 0.
Then the other ratios are csc is 1/0 = indeterminate, sec = 1/-1 = -1 and cot is indeterminate.
Why is it important to simplify rational expressions before multiplying or dividing? How do you determine that a rational expression is in simplest form?
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To determine that a rational expression is in simplest form we need to make sure that the numerator and the denominator have no common variables.
It is important for us to simplify rational expressions before multiplying or dividing because it makes our calculations easier.
The rational expression is in its simplest form when there is no common factor between the numerator and the denominator.
What is a rational number?A rational number is a number that can be written in the form of p/q where q is not equal to zero.
We have,
Some examples of rational numbers are:
38/44 or 39/63
We can divide this rational number into a decimal number but it is easier for us if we can simplify it in its simplest form.
There is no common factor between numerator and the denominator in its simplest form.
The simplest form of 38/44.
= 38/44
= 2 x 19 / 2 x 22
= 19/22
The simplest form of 39/62 is
= 39/63
= 3 x 13 / 3 x 21
= 13/21
Thus,
It is important for us to simplify rational expressions before multiplying or dividing because it makes our calculations easier.
The rational expression is in its simplest form when there is no common factor between the numerator and the denominator.
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Helpp me with this word problem number one
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4 1/3 x 6 1/2 =
13/3 x 13/2 = 169/6
169 divided by 6 = 28 1/6
The line passing through the points (-7,4) and (-23,y) is parallel to a line that has a slope of -5/8. What is the value of y?
Answers
so if this line is parallel to another with a slope of -5/8, the slope of this line is also -5/8 then. We also know that it passes through -7, 4 and -23, y, let's do some checking.
[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -7}}\quad ,&{{ 4}})\quad % (c,d) &({{ -23}}\quad ,&{{ y}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{y-4}{-23-(-7)}\implies \cfrac{y-4}{-23+7} \\\\\\ \cfrac{y-4}{-16}=\boxed{-\cfrac{5}{8}}\implies 8y-32=80\implies 8y=112 \\\\\\ y=\cfrac{112}{8}\implies y=14[/tex]
HELP WITH SOLVING SYSTEMS WITH THREE VARIABLES, WILL MEDAL
-x -y -z = -8
-4x + 4y + 5z = 7
2x + 2z = 4
I'm not sure how to work this out.
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Equation 2) -4x + 4y + 5z = 7
Equation 3) 2x + 2z = 4
Solving for three variables is quite similar to solving for two variables. Just like when solving for two variables, you look for like variables & solve them one-by-one. So, let's get started! :)
Multiply ALL of equation 1 by four.
1) 4(-x - y - z = -8)
Simplify.
1) -4x - 4y - 4z = -32
Both equations 1 & 2 have the same three variables (x, y, z), so, we must look at these equations together.
1) -4x - 4y - 4z = -32
2) -4x + 4y + 5z = 7
Add these equations together, and create a fourth equation.
4) -8x - z = -25
Now, notice how both equations 3 & 4 have the same two variables (x, z).
So, we must look at these equations together.
3) 2x + 2z = 4
4) -8x - z = -25
Multiply ALL of equation 4 by 2.
4) 2(-8x - z = -25)
Simplify.
4) -16x - 2z =-50
3) 2x + 2z = 4
Now, add the equations together, so that we can solve for x.
-14x = -42
Divide both sides by -14.
x = 3
Now, plug in 3 for x into our 3rd equation.
3) 2x + 2z = 4
3) 2(3) + 2z = 4
Simplify.
6 + 2z = 4
Subtract 6 from both sides.
2z = 4 - 6
Simplify.
2z = -2
Divide both sides by 2.
z = -1
Now, plug in -1 for z & 3 for x in our 1st equation.
1) -x - y - z = -8
-(3) - y - (-1) = -8
Simplify.
-3 - y + 1 = -8
Simplify.
-2 - y = -8
Add 2 to both sides.
-y = -8 + 2
Simplify.
-y = -6
Divide both sides by -1.
y = 6
SO :
x = 3, y = 6, z = -1
~Hope I helped!~
HELP! A daycare purchases two type of snacks, granola bars and fruit rolls. One week, they purchase 10 packs of granola bars and 6 packs of fruit rolls for a total of 152 snacks. The next week, they purchase 7 packs of granola bars and 12 packs of fruit rolls for a total of 200 snacks. How many snacks are in one pack of granola bars and one pack of fruit rolls?
Answers
5x+3y=76
7x+12y=200
-20x-12y=-304
-13x=-104
x=8
40+3y=76
3y=36
y=12
There are 8 granola bars in a pack and 12 fruit rolls in a pack
Answer: The number of granola bars in one pack = 8
The number of fruit rolls in one pack = 12
Step-by-step explanation:
Let x be the number of granola bars in each pack and y be the number of fruit rolls in each pack .
Then according to the question we have the following system of equations :
[tex]10x+6y=152.....................(1)\\7x+12y=200.......................(2)[/tex]
Multiply equation (1) by 2 we get
[tex]20x+12y=304......................(3)[/tex]
Subtract equation (2) from equation (3), we get
[tex]13x=104\\\\\Rigtarrow x=8[/tex]
Substitute x=8 in (1), we get
[tex]10(8)+6y=152\\\\\Rightarrow6y=152-80\\\\\Rightarrow\ 6y=72\\\Rightarrow y=12[/tex]
Hence, the number of granola bars in one pack = 8
The number of fruit rolls in one pack = 12
Which of the following phrases could represent the expression k - 4?
A.a number subtracted from four
B.four less a number
C.a number decreased by four
D.a number less than four
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There are two phrases that can represent the expression [tex]k - 4[/tex]
→ Four less a number
or
→ A number decreased by four.
Bot option B and C are correct.
Hope I helped (:
Have a great day!
How many centimeters is a piece of paper that measures 12 inches? centimeters?
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One third of the sum of two consecutive odd integers is five less than the smaller integer
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Your answer is 17, 19
Hadlee got 18 out of 20 questions correct on her math quiz. What percent of the questions did she get right?
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First divide -----> 18/20 = 0.9
Then multiply by 100 or move decimal 2 places to the right.
----> 0.9 * 100 = 90
Answer: 90%
Which ordered pairs are solutions to the inequality y−4x≥−5 ?
Select each correct answer.
(5, −2)
(1, −1)
(−4, 2)
(4, 0)
(−2, 1)
Answers
The ordered pairs that satisfy the given inequality is required.
The points that are solutions are [tex](-4,2),(-2,1),(1,-1)[/tex]
The given inequality is [tex]y-4x\geq -5[/tex]
Let us substitute each point in the inequality
[tex](5,-2)[/tex]
[tex]y-4x\\ =-2-4\times 5\\ =-22\ngeq -5[/tex]
[tex](1,-1)[/tex]
[tex]-1-4\times 1\\ =-5\geq -5[/tex]
[tex](-4,2)[/tex]
[tex]2-4\times -4\\ =18\geq -5[/tex]
[tex](4,0)[/tex]
[tex]0-4\times 4=-16\ngeq -5[/tex]
[tex](-2,1)[/tex]
[tex]1-4\times -2=7\geq -5[/tex]
The points that are solutions are [tex](-4,2),(-2,1),(1,-1)[/tex]
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Estimate the unit rate
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You must have a number of miles traveled in a number of hours, or a number of items bought for so many dollars, etc.
What is the expression phrase of the sum of a number x and 4, all divided by 3?
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Then you divide that sum by 3.
(x + 4)/3
What is the greatest common factor of 125, 50, and 275?
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Answer:
25 is the greatest common factor.
Step-by-step explanation:
We are given the following information in the question:
We have t find the greatest common factor of 125, 50 and 275.
We can use the method of prime factorization.
[tex]125 = 5\times 5\times 5\\50 = 5\times 5\times 2\\275 = 5\times 5\times 11[/tex]
Hence, the common factor of the the three numbers are:
[tex]5\times 5 = 25[/tex]
Hence, the greatest common factor 125, 50, 275 is 25.
Trisha needs 4 yards of fabric to do a project. If she already has of a yard of fabric, what is the minimum amount of fabric she must buy to be able to complete her project? A. 3 5/6 B.4 1/12 C.4 1/6
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Answer:
The answer is A. OR 3 5/6
Point F is on circle C.
What is the length of line segment GF?
a.12.5 units
b.15.0 units
c.17.5 units
d.20.0 units
Answers
Answer:
GF = 20 units .
Step-by-step explanation:
Given : A circle ,Point F is on circle C.
To find : What is the length of line segment GF.
Solution : We have given A circle ,Point F is on circle C.
In circle we can see in triangle GCE
EC = CF = 7.5
GE = 10.
By the Pythagorean theorem :
GC² = EG²+ EC².
Plugging the values
GC² = 10²+ 7.5².
GC² = 100 + 56 .25.
GC² = 156.25.
Taking square root.
GC = 12.5 units.
Radius of circle CF = 7.5 units .
GF = GC +CF.
GF = 12.5 + 7.5
GF = 20 units .
Therefore, GF = 20 units .
A pool is being drained at a rate of 120 gallons per minute.What is this rate in quarts per hour?
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Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
6 less than the product of 3 and a number.
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6 less than a number means you subtract 6.
3x - 6
Hope this helps!
The algebraic expression representing the words "6 less than the product of 3 and a number" is shown as 3x - 6.
What is an algebraic expression?An algebraic expression is a combination of terms separated by mathematical operations (+, -, *, /).
A term is a combination of numerals and variables where variables are raised to integral powers.
How to solve the question?In the question, we are asked to write the algebraic expression that represents the words "6 less than the product of 3 and a number".
Assuming the number to be x.
We first try to make the terms.
The term that will be formed using the words the product of 3 and a number is 3 * x = 3x.
The term using the word 6 is 6.
Now, to complete the expression, we combine the terms.
The words less than implies the difference. Thus the expression can be written as 3x - 6.
Thus, the algebraic expression representing the words "6 less than the product of 3 and a number" is shown as 3x - 6.
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When writing the slope as a fraction which numner goes on top?
Answers
The number goes on top tells line changes in the y direction and how much it rises.
what is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
As, The top number indicates how much the line rises or moves in the y direction.
Given that the number is a 1 and is positive, we can infer that the line rises or moves up by one.
Hence, line changes in the y direction and how much it rises.
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Select "Growth" or "Decay" to classify each function.
Function Growth Decay
y=200(0.5)^2t
y=1/2(2.5)^t/6
y=(0.65)^t/4
Which equation can be used to find the solution of (1/3)^d−5 = 81 ?
A. −d−5=4
B. d + 5 = 4
C. d−5=4
D. −d+5=4
Answers
1. The growth rate equation has a general form of:
y = A (r)^t
The function is growth when r≥1, and it is a decay when r<1. Therefore:
y=200(0.5)^2t --> Decay
y=1/2(2.5)^t/6 --> Growth
y=(0.65)^t/4 --> Decay
2. We rewrite the given equation (1/3)^d−5 = 81
Take the log of both sides:
(d – 5) log(1/3) = log 81
d – 5 = log 81 / log(1/3)
d – 5 = - 4
Multiply both sides by negative 1:
- d + 5 = 4
So the answer is D