Step-by-step explanation:
write the one digit in the square of each of the following numbers
a.13
Apply the distributive property to create an equivalent expression.
\dfrac12(2a - 6b+ 8) =
2
1
(2a−6b+8)=start fraction, 1, divided by, 2, end fraction, left parenthesis, 2, a, minus, 6, b, plus, 8, right parenthesis, equals
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]a-3b+4[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Equation...}}\\\\\frac{1}{2}(2a-6b+8)\\----------------\\\rightarrow\frac{1}{2}* 2a = a\\\\ \rightarrow\frac{1}{2}*-6b = -3b\\\\\rightarrow\frac{1}{2}*8 = 4\\\\\text{\underline{Therefore:}}\\\\\frac{1}{2}(2a-6b+8)\rightarrow \boxed{a-3b+4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer: a-3b+4
Step-by-step explanation:
Credits to guy up there
The seventh grade wants to break last year's record of 78 coats collected for the annual clothing drive. They have already collected 13 coats.
Which number line represents the graph of the solution to the inequality that represents the number of coats, c, that the seventh grade must still collect?
Answer:
The last number line or D.
Step-by-step explanation:
To find the remaining coats to be collected, subtract the coats that are collected from the total of coats needed.
So:
78 - 13= 65
They must collect a total of 65 and more to break the last year's record of 78 coats. Number line D, represents the solution of this inequality.
Hope this helps! Have a nice dayy! :)
Which class is better, math or science (in your opinion)
comment/answer your fav i need this for a survey
Answer:
Science is more interesting for me than math and fun!
Step-by-step explanation:
Answer:
Math is more fun for me because you get to learn more stuff in it. Plus, math can help you in everyday stuff like for example cooking.
Step-by-step explanation:
Everyone agrees that learning math can be difficult, but some people believe math is important and some people believe math is not important. Math is important for three reasons: math is everywhere, children need math, and God created math.
The first reason math is important is math is everywhere. Math is used in everyday life; it is useful, but it is more than just useful. Math is there to help us, to keep us well ordered, to help us learn new things, and to help us teach new things. Students will become adults who will use math in their jobs. All kinds of careers use math; for example, musicians, accountants, fashion designers, and mothers use math. However, math is not only used for things you do. It also brings order to everything around you; the world is organized essentially because it was made with math.
The second reason math is important is children need math. Now, as we all know, children are as chaotic as a volcanic eruption, but children, as they grow, need to learn patience. Patience is precisely what math teaches us. It also teaches us curiosity; for example, why is this rule used here? Why would that number be negative? Why is that equation set up like that? These are questions they will learn to ask if they are taught math. The parents’ job is to help their children grow up to become good people who are patient and wise, who want to learn even more about anything and everything. Their future depends on what they have learned and if they have learned mathematics, then they will be able to do many different things—maybe even anything—when they are adults.
The third reason math is important is God created it. This is a reason most adults use to convince their children that math is not boring and unimportant, so it may seem unoriginal. I believe, however, it is something that needs to be stated. God created the universe as well as math. The universe is full of math and it is orderly because of math. The sun is a certain distance from the earth; everything is organized in such a way that no matter what has happened we have always been safe. We need math. From this, you should be able to see how much we really do use and need math. We would not be able to process or even do everyday things without it. Math, in addition to these things, helps us to know God. God gave us math to live well and to serve Him. With everything we learn using math in science, we learn more about the world, which can help draw us closer to God.
Some people say math is unimportant because you don’t need math other than basic math principles—you can live without more complicated math. They say, if you need it, then simply use a calculator and leave the more complicated math to people who like math, the mathematicians. This, however, is not correct; you need math and could not live well without math, even including more complicated math concepts. God made us with a sense of curiosity so we can learn, do, and think about all sorts of things. Math is that thing that connects everything together, everything people love to do: music, cooking, painting, and everything else. Math is important.
Math is important because math is everywhere, children need math, and God created math. This matters to me and other children because math determines our future and how we choose to live.
Express 60g as a percentage of 3kg?
Answer:
2%
60/3000g= ?/100
60×100/3000=2
i need help...... ..
Problem 27)
Refer to the diagram that says "problem 27".
This is the graph of y = 5x where x is the time in years, and y is the amount of simple interest in the account.
This equation comes from the simple interest formula below
i = P*r*t
i = 100*0.05*x
i = 5x
y = 5x
Note: The graph is a straight line through (0,0) and (1,5)
=====================================================
Problem 28)
The abscissa is the x coordinate. For a point like (-3, -7), the abscissa is -3.
The ordinate is the y coordinate. For that point mentioned earlier, the ordinate is -7.
The graph of points is shown below in the figure labeled "problem 28".
When graphing any point, we always start at the origin (0,0) where the x and y axis meet up. Then for a point like (-3,-7) we move 3 units to the left on the x axis and 7 units down on the y axis to arrive at point A. The other points are plotted in a similar fashion. The labels A,B,C,D are optional. They were added to help keep track of the points.
Consider the graph of the function f(x) =
= 10^x
What is the y-intercept of function gif g(x)
=4f(x) + 12
Answer:
(0,8)
Step-by-step explanation:
Let X be 0 and solve for Y to get the intercept
y= - 4([tex]10^{x}[/tex]) + 12
y= - 4 * [tex]10x^{0}[/tex] + 12
y= - 4 * 1 + 12
y= - 4 + 12
y=8
when x=0, y=8
(0,8) is y intercept
The y-intercept of the given function is (0,8).
We have given that,
The graph of the function f(x) = 10^x
The y-intercept of function gif g(x)=4f(x) + 12
What is the intercept?
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Let X be 0 and solve for Y to get the intercept
[tex]y= - 4(10^x) + 12[/tex]
[tex]y= - 4 (10^0) + 12[/tex]
[tex]y= - 4 * 1 + 12[/tex]
[tex]y= - 4 + 12[/tex]
[tex]y=8[/tex]
when x=0, y=8
The y-intercept of the given function is (0,8).
To learn more about the intercept visit:
https://brainly.com/question/1884491
#SPJ5
I understand the problem
Answer:
c.100
Step-by-step explanation:
first draw a figure of rhombus EFGH to avoid confusions
given
angle E= 3x+5
angle H= 4x
here,
E=G and H=F ( opposite angles of rhombus are equal)
now,
E+G+H+F= 360 ( sum of interior angles in a rhombus)
3x+5+3x+5+4x+4x= 360
x= 25°
we know that,
F= H
F= 4x
F= 4 × 25
F= 100
Slopes of parallel lines
Answer:
2
Step-by-step explanation:
Parallel lines have the same slopes
If the slope of line a is 2, the slope of line b is 2
Answer:
slope of line b = 2
Step-by-step explanation:
The slopes of parallel lines are equal
Given slope of line a = 2 and parallel to line b , then
slope of line b = 2
For the angle 0 = 150° moving counter-clockwise in standard position, determine which
primary trigonometric ratio is positive.
Answer: Start at the positive
x
-axis, then rotate left by the desired angle.
Explanation-
Standard position means the first arm of the angle is the positive
x
-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.
As a basic example, the symbol
∠
is about a 45° angle in standard position.
To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.
If our angle was 90°, the terminal arm would be on the positive
y
-axis.
If our angle was 180°, it would be on the negative
x
-axis.
Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.
graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}
(ignore the part of the line in quadrant 4)
I need help I don’t get it and it’s hard can someone help me
Answer:
choice 4
Step-by-step explanation:
It's not that hard if you understand once you get past the fancy words
degree= largest exponent
so if something has a degree of 3 we know that the highest exponent is 3
Coeficcent= thing multipllying x
in this case it's 4 which means the number we are looking for is 4x³
Onlyanswer choice 4 meets these criteria
Answer:
The answer is (4) [tex]2x+x^{2} +4x^{3}[/tex].
Step-by-step explanation:
A leading coefficient is the coefficient of the term of highest degree in a given polynomial.
A degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).
The answer can be found when the polynomial is rearranged into standard form, and the standard form of the polynomial will look like [tex]4x^{3}+x^{2} +2x[/tex]. A polynomial is in standard form when the term with the highest degree is placed first, followed by the term which has the next highest degree, and so on.
Once the polynomial is in standard form, the leading coefficient is 4 and has a degree of 3. Thus, causing (4) [tex]2x+x^{2} +4x^{3}[/tex] to be the answer.
Peyton, Nathan and Alexandra sold their stuffies for a fundraising event.
Peyton sold two more than four times the stuffies Nathan.
Alexandra sold half as many stuffies as Peyton.
Each stuffie was sold for $2.50. Together they fundraised $130.
How many stuffies did each person sell?
Answer:
p = 30, n = 7, a = 15
Step-by-step explanation:
Let's say that p is the amount of stuffies Peyton sold, n is the amount of stuffies Nathan sold, and a is the amount of stuffies Alexandra sold.
Peyton sold two more than four times the stuffies Nathan sold.
This means that: p = 2 + 4n (n = (p-2)/4)
Each stuffie was sold for $2.50. Together they fundraised $130.Alexandra sold half as many stuffies as Peyton.
This means that: a = p/2
Each stuffie was sold for $2.50. Together they fundraised $130.
This means that: 2.50p + 2.50n + 2.50a = 2.50(p + n + a) = 130
We can make the equation in terms of p by substituting a and n.
2.50(p + n + a)
= 2.50(p + (p-2)/4 + p/2)
= 2.50(4p/4 + (p-2)/4 + 2p/4) [Make the p's have a denominator of 4]
= 2.50((4p + p - 2 + 2p)/4)
= 2.50((7p-2)/4)
= 5/2 * (7p-2)/4
= 5(7p-2)/8
= (35p-10)/8 = 130
35p-10 = 1040
35p = 1050
p = 30
n = (30-2)/4
= 7
a = 30/2
= 15
I don't understand help plz
A penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel. Penny-farthings were popular in the 1800s and were available in different sizes. Suppose the diameter of one particular penny-farthing's front wheel is inches and the ratio of the diameter of the front wheel to the diameter of the back wheel is :1. What is the circumference of the back wheel? Use 3.14 for. The circumference of the back wheel is nothing inches.
Answer:
The circumference of the back wheel is 2.62 inches
Step-by-step explanation:
Given
[tex]d_1 = 5in[/tex] --- diameter of front wheel
[tex]d_1 : d_2 = 3:1[/tex] --- ratio of the diameters
Required
The circumference of the back wheel
First, we calculate the diameter of the back wheel.
We have:
[tex]d_1 : d_2 = 3:1[/tex]
Substitute: [tex]d_1 = 5in[/tex]
[tex]5in: d_2 = 3 : 1[/tex]
Express as fraction
[tex]\frac{d_2}{5in} = \frac{1}{3}[/tex]
Make [tex]d_2[/tex] the subject
[tex]d_2 =5in * \frac{1}{3}[/tex]
[tex]d_2 = \frac{5}{3}\ in[/tex]
So, the circumference (C) of the back wheel is:
[tex]C =\pi d[/tex]
[tex]C = 3.14 * \frac{5}{6}\ in[/tex]
[tex]C = \frac{3.14 * 5}{6}\ in[/tex]
[tex]C = \frac{15.7}{6}\ in[/tex]
[tex]C = 2.62\ in[/tex]
The length and width of a rectangular box
are represented by 2x+3 and 3x + 1 respectively.
What is the area of the box expressed as a polynomial
in standard form?
Answer:
[tex]6x^2+11x+3[/tex]
Step-by-step explanation:
Area of a rectangle = length x width
[tex](2x+3)(3x+1) = ?[/tex]
[tex]6x^2+2x+9x+3[/tex]
Compare the graph h(x)=1/4x^2 to the graph of f(x) = x2.
Answer:
h(x) is the image after f(x) is horizontally stretched by a scale factor of 4
Step-by-step explanation:
Given
[tex]h(x) = \frac{1}{4}x^2[/tex]
[tex]f(x) = x^2[/tex]
Required
Compare h(x) to f(x)
We have:
[tex]h(x) = \frac{1}{4}x^2[/tex]
Substitute [tex]f(x) = x^2[/tex]
[tex]h(x) = \frac{1}{4}f(x)[/tex]
This means that f(x) is stretched horizontally by a scale factor of 4 to get h(x)
Solve the expression one half x (48 ÷ 6) − 2 + 5 using PEMDAS.
7
8
9
10
Answer:
7
Step-by-step explanation:
I got it correct on a test
factorise fully the following expression (am-an+bm-bn)
Step-by-step explanation:
am-an+bm-bn
m(a+b)-n(a+b)
(m-n)(a-b)
Answer:
[tex] \small \sf \: ( m - n ) ( a + b )[/tex]
Step-by-step explanation:
( am - an + bm - bn)
Do the grouping= ( am - an ) + ( bm - bn )
Factor out a in the first and b in the second group= a ( m - n ) + b ( m - n )
factor out common term m - n by using distributive property= ( m - n ) ( a + b )
What are the real and imaginary parts of z? Z = 20i+26
Answer:
Imaginary: 20i
Real: 26
Step-by-step explanation:
Hope this helped.
a square garden has an area of 6400 square find its perimeter
Answer:
80
Step-by-step explanation:
Area of a square is LxL where L is the length of the side
so 6400 = LxL
L = 80
Questions in the image.
Answer:
Step-by-step explanation:
1). 3x + 10
3(2) + 10
= 16
2). 14 - 2y
14 - 2(-3)
= 20
3). 7x - 5y
7(2) - 5(-3)
= 29
4). 5x + 7
5(2) + 7
= 17
5). 2x + 3y
2(2) + 3(-3)
= -5
6). 6y - 5x
6(-3) - 5(2)
= -28
What is the area is square feet?
Answer:
A = 24
Step-by-step explanation:
Figure shown is a trapezoid
Area of a trapezoid = [tex]\frac{a+b}{2} h[/tex]
where a and b = base lengths and h = height
The trapezoid shown has the following dimensions
Shorter base length (a) = 6
Longer base length (b) = 10
Height (h) = 3
Using these dimensions , plug in the values into the area formula
A = [tex]\frac{6+10}{2} 3[/tex]
add 6 + 10 = 16
[tex]A=\frac{16}{2} 3[/tex]
divide 16/2 = 8
[tex]A = (8)(3)[/tex]
multiply 8 times 3
A = 24
4.2 To buy a new car is not a very good investment. In the first year the car will
decrease in value by 25%.
4.2.1
If the car costs R200 000, what will it be worth after 1 year?
Given:
In the first year, the car will decrease in value by 25%.
The cost of a car is Rs. 200,000.
To find:
The worth of the car after 1 year.
Solution:
The cost of a car is Rs. 200,000 and in the first year the car will decrease in value by 25%. So, the worth of the car after 1 year is:
[tex]Worth=200000-\dfrac{25}{100}\times 200000[/tex]
[tex]Worth=200000-\dfrac{1}{4}\times 200000[/tex]
[tex]Worth=200000-50000[/tex]
[tex]Worth=150000[/tex]
Therefore, the worth of the car after 1 year is Rs. 150,000.
Line segment EG is partitioned by point F in the ratio 1:3. Point E is at E (0, 4), and point F is at (1, 3). What are the coordinates of point G? (−1, 5) (2, 2) (3, 1) (4, 0)
Answer:
(4,0)
Step-by-step explanation:
Line segment EG is partitioned by point F in the ratio 1:3.
This means that:
[tex]F - E = \frac{1}{4}(G - E)[/tex]
We use this equation to find both the x-coordinate and the y-coordinate of point G.
x-coordinate:
x-coordinate of E: 0
x-coordinate of F: 1
x-coordinate of G: x
Then
[tex]F - E = \frac{1}{4}(G - E)[/tex]
[tex]1 - 0 = \frac{1}{4}(x - 0)[/tex]
[tex]1 = \frac{x}{4}[/tex]
[tex]x = 4[/tex]
y-coordinate:
y-coordinate of E: 4
y-coordinate of F: 3
y-coordinate of G: y
Then
[tex]F - E = \frac{1}{4}(G - E)[/tex]
[tex]3 - 4 = \frac{1}{4}(y - 4)[/tex]
[tex]-1 = \frac{y-4}{4}[/tex]
[tex]y - 4 = -4[/tex]
[tex]y = 0[/tex]
What are the coordinates of point G?
x = 4, y = 0, so (4,0).
A fitness club offers two membership plans.
Plan A: $30 per month
Plan B: $18 per month plus $2 for visit for each visit to the club
a) graph the linear system. When would the cost of the two membership plans be the same
B) describe a situation under which you would
Choose each plan
Help please
Which of the following is NOT true about mathematical induction?
A.The first possible case is always n = 1.
B.Mathematical induction depends on a recursive process.
C.It can be used to prove that 1 + 2 + 3+...+n =
n(n+2)
2
D. Since Sn is valid for n = 1, it is valid for n = 2. Since it is valid for n = 2, it is valid for n = 3, and so on, indefinitely.
Answer:
A. the first possible case is always n = 1
Step-by-step explanation:
Mathematical induction is a technique used to provide proof for a statement such that the statement holds for all natural numbers which are the non-negative integers
Therefore, given that the natural numbers are 0, 1, 2..., we have that mathematical induction can start from n = 0
Therefore, the statement which is not true is that the first possible case is always n = 1
Evaluate: 5 + 2 • 42?
5 + ( 2 × 42 ) =
5 + 84 =
89
.....
.....
Answer:
89
Step-by-step explanation:
So we will follow PEMDAS in this exact order:
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
5 + 2 • 42 Equation
5 + (2 • 42) We have no parentheses or exponents so we move on to multiplication
5 + 84 We have no division so we move on to addition
= 89 We have no subtraction so this is our final answer
Expected value is: Group of answer choices the average probability of all possible outcomes of a future event occurring, weighted by each possible outcome individually the sum of all probabilities of all possible outcomes of a future event occurring the sum of all possible outcomes of a future event, weighted by its probability of occurring
Answer:
the average probability of all possible outcomes of a future event occurring, weighted by each possible outcome individually
Step-by-step explanation:
An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
In Statistics, an expected value can be defined as the average probability of all possible outcomes of a future event occurring in an experiment, weighted by each possible outcome individually. Thus, an expected value in theory refers to the outcome an individual expect to obtain from an experiment in the long-run.
Mathematically, an expected value can be calculated by summing the products of each distinct outcome and their probability respectively.
line RP and line RQ are tangent to point G at P and Q. if the measurement of angle PRG=35 degrees, find the measurement of angle PGR.
Answer:
55°
Step-by-step explanation:
By theorem of specific circle, the radius is perpendicular to the tangential lineSummation of all internal angles equal to 180°Thus from the atrachment, the angle PGR is 180°-35°-90°
= 55°
pls help me..... the question is in the attachment.... thank you
Answer:
I added some attachments as well, I hoped I helped.
Hyunjin has $26 and wants to buy 7 americanos for his group. Each americano costs $2.25.
How much money would he have left?
Answer:
10.25
Step-by-step explanation:
26-7(2.25)=10.25
Answer:
$10.25 would be left over
Step-by-step explanation:
Hyunjin spends 7($2.25), or $15.75, for those 7 americanos.
To find out how much money he'd have left, we subtract this $15.75 from his $26, obtaining $10.25.
