[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{What is addition \& subtraction?}[/tex]
[tex]\huge\textbf{What is addition?}[/tex]
[tex]\bullet\large\textbf{ Well, \underline{addition} simply means when you're ADDING}\\\large\textbf{2 or more numbers from each other to get the result of}\\\large\textbf{a number.}[/tex]
[tex]\huge\textbf{Random notes}[/tex]
[tex]\star\large\textbf{ Usually, you start working with addition when you're in}\\\large\textbf{pre-kindergarten (pre-k also known as head-start)}\\\\\star\large\textbf{ When, you're adding you are going upward.}\\\\\star\large\textbf{ Addition sometimes come after you learn how to count}\\\large\textbf{the basic numbers and so forth because adding never}\\\large\textbf{ends if you really think about.}[/tex]
[tex]\huge\textbf{Example:}[/tex]
[tex]\heartsuit\large\textbf{ 2 \boxed{\bf +} 5 = 7}\\\\\\\heartsuit\large\textbf{ You got the result of 7 because you started at 2 \& went}\\\larg\textbf{up 5 spaces to your right on your number and you landed}\\\large\textbf{on 7.}[/tex]
[tex]\huge\textbf{What is subtraction?}[/tex]
[tex]\bullet\large\textbf{ Well, subtraction simply means you're taking away. Often}\\\large\textbf{people call it take aways.}[/tex]
[tex]\huge\textbf{Random notes:}[/tex]
[tex]\star\large\textbf{ Usually, you start working with subtraction when you're}\\\large\textbf{in pre-kindergarten (pre-k also known as headstart)}\\\\\star\large\textbf{When you're subtracting you are doing downward.}\\\\\star\large\textbf{You focus more on subtraction when you're counting}\\\large\textbf{backwards.}[/tex]
[tex]\huge\textbf{Example:}[/tex]
[tex]\heartsuit\large\textbf{ 7 \boxed{\bf -} 5 = 2 }\\\\\\\heartsuit\large\textbf{ 7 \boxed{\bf -} 2 = 5}\\\\\\\heartsuit\large\textbf{ For equation \#1. you begin at 7 and go BACK 5 spaces}\\\large\textbf{and you should have landed on 2.}\\\\\\\heartsuit\large\textbf{ For equation \#2. you begin at 7 \& go BACK 2 spaces}\\\large\textbf{and you should have landed on 5.}[/tex]
[tex]\huge\textsf{KEEP IN MIND:}[/tex]
[tex]\circ\large\textsf{ Addition OPPOSITE is subtraction \& subtraction OPPOSITE is}\\\large\textsf{addition.}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitirite1040:)}[/tex]
assuming that the series will continue in the same pattern the next number in the series 3,5,11,29... is
Notice that
5 - 3 = 2
11 - 5 = 6
29 - 11 = 18
and these differences form a geometric sequence,
{2, 6, 18, ...} = {2×3⁰, 2×3, 2×3², ...}
so a reasonable guess for the next number in the sequence might be 2×3³ = 54.
The sequence might be 2×3^3^3 = 54.
We notice that 5 - 3 = 2
11 - 5 = 6
29 - 11 = 18
and these differences form a geometric sequence,
What is the geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.
{2, 6, 18, ...} = {2×3^0, 2×3^1, 2×3^3, ...}
So the next number in the sequence might be 2×3^3 = 54.
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The sets A and I are defined as follows: A={−2,−1,0,1,7} I= {−2,−1,1,2,8}. Find the intersection of A and I.
The intersection of A and I are {-2, -1, 1}
How to determine the intersection?The sets are given as;
A={−2,−1,0,1,7} I= {−2,−1,1,2,8}
The intersection of A and I are the common elements in both sets
The common elements in both sets -2, -1 and 1
This means that:
A n I = {-2, -1, 1}
Hence, the intersection of A and I are {-2, -1, 1}
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Find the
quotient for 12 2/5 / 1/4
[tex]12 \frac{2}{5}=\frac{62}{5}\\\\\frac{62/5}{1/4}=4\left(\frac{62}{5} \right)=\frac{248}{5}=\boxed{49 \frac{3}{5}}[/tex]
Please help answering this question
Answer:
DF = 3
Step-by-step explanation:
BC = DF
Which mean D is (0,2) and F is (3,2)
Here, this is clear that y-intercept is 2
DF = D(x) + F(x) = 0 +3 = 3
14,246 is invested, part at 13% and the rest at 12%. If the interest earned from the amount invested at 13% exceeds the interest earned from the amount invested at 12% by $318.23, how much is invested at each rate? (Round to two decimal places if necessary
The amount of money invested at 13% was $8111, while $6135 was invested at 12%.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount invested at 13% and y represent the amount invested at 12%, hence:
x + y = 14246 (1)
Also:
0.13x = 0.12y + 318.23 (2)
Hence:
x = 8111, y = 6135
The amount of money invested at 13% was $8111, while $6135 was invested at 12%.
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Interpreting a Line of Best Fit
Use the graph and equation to answer the question.
A graph with number of visitors on the x-axis and amount of money on the y-axis. A trend line has equation y = 7.48 x + 2,245.21.
The graph includes ordered pairs displaying the relationship between the number of visitors at a museum during regular hours in a day (x) and the amount of money the museum collects during the given day (y).
The slope indicates that the museum
for every additional
, and the y-intercept could represent the daily average
.
Answer: A, C, C.
100%
Step-by-step explanation:
If P= (-6,4) find Ry= -x (P)
The value of Ry= -x (P) is P' = (4, 6)
How to determine the transformation?The point is given as:
P = (-6, 4)
The transformation Ry= -x (P) means tha:
(x, y) = (y, -x)
So, we have:
P' = (4, 6)
Hence, the value of Ry= -x (P) is P' = (4, 6)
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2.5.2 project performance task:trade show booth
The booth space and the product brochures are less than $3000 hence the equation of inequality will be B + P ≤ $ 3000.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Let the booth space be B and the product brochures be P.
Then the equation of inequality will be
B + P ≤ $ 3000
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Complete question:
2.5.2 Project: A Trade Show Booth
The Scenario: Your manager has asked you to help plan your company's participation at a local trade show. You have $3000 to spend on the booth space and product brochures. Use what you know about solving inequalities to prepare the inequality that meets the budget.
Need help regarding radioactive decay type of question
By applying the radioactive simple decay model, we find that the initial quantity of the radioactive isotope is equal to approximately 5.63 grams.
How to determine the initial mass of a radioactive isotope
Mass of radioactive isotopes (m (t)), in grams, decay exponentially in time according to the following model:
[tex]m(t) = m_{o}\cdot e^{-t/\tau}[/tex] (1)
Where:
[tex]m_{o}[/tex] - Initial mass, in gramst - Time, in yearsτ - Time constant, in yearsThe time constant can be found in terms of half-life:
τ = t'/㏑ 2
If we know that t' = 24100 yr, t = 1000 yr and m(t) = 5.4 g, then the initial mass of the radioactive isotope is:
τ = 24100 yr/㏑ 2
τ ≈ 34768.95 yr
[tex]5.4 = m_{o}\cdot e^{-1000/24100}[/tex]
[tex]m_{o} = 5.629\,g[/tex]
By applying the radioactive simple decay model, we find that the initial quantity of the radioactive isotope is equal to approximately 5.63 grams.
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5m-8=2m+2
what does m equal
Answer:
m = 10/3
(as a decimal: m = 3.333...)
Step-by-step explanation:
5m - 8 = 2m + 2
5m - 8 = 2m + 2
- 2m - 2m (make all "m" on one side to isolate variable)
3m - 8 = 2
+ 8 + 8 (get m entirely on 1 side)
3m = 10
÷3 ÷3 (divide by 3 to get 1m)
m = 10/3
(as a decimal: m = 3.333...)
hope this helps!! have a lovely day :)
What is the solution to this equation?
-1/5(x+1 1/4)=-2 1/2
Answer:
О x = 10 3/4
[tex]x = 10\frac{3}{4}[/tex]
Step-by-step explanation:
-1/5 ( x + 1 3/4) = -2 1/2
Particularly:
1 3/4 = 1 + 3/4 = 4/4 + 3/4 = 7/4
-2 1/2 = -2 - 1/2 = -4/2 - 1/2 = -5/2
Then:
-1/5 (x + 7/4) = -5/2
(x*-1/5 + 7/4*-1/5) = -5/2
(-x/5 + ((7*-1) / (4*5))) = -5/2
-x/5 + (-7/20) = -5/2
-x/5 - 7/20 = -5/2
-4x/20 - 7/20 = -50/20
-4x - 7 = -50
-4x = -50 + 7
-4x = -43
x = -43/-4
x = 43/4
43/4 = 40/4 + 3/4 = 10 + 3/4 = 10 3/4
Drag each tile to the correct box. The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below. A graph represents the water level to fill the tank on Y-axis per time on X-axis. Segments A, B, and C fill the tank from 10 to 60, 60 to 80, and 80 to 110 centimeters in the first 2, next 4, and last 3 minutes. Place the segments in the correct order from the least to the greatest rate of increase in the water level. B A C
The least to greatest slope, the segments are B, C, and A.
We have given that,
The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below.
A graph represents the water level to fill the tank on Y-axis per time on X-axis.
The rate of increase of water level is indicated by the slope of the segment. The slope is the ratio of rise to run, and is related to the angle the segment makes with the +x axis.
Segments that have more rise for the same run have greater slope. Segments that make a larger reference angle with the +x axis have a larger slope.
Here, segment B has the least slope, followed by C, then A, which has the largest slope.
In order, the least to greatest slope, the segments are B, C, and A.
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Answer: bca
Step-by-step explanation:
B C A
Energy Drinks: Popular energy drinks contain green tea extract and caffeine. Do these energy drinks help you lose weight by increasing your metabolism? Researchers at a medical school designed an experiment to determine the chemical effects of green tea and caffeine on energy metabolism in healthy, lean, young adults. Researchers randomly assigned participants to 2 treatments. One group drank Formula A, a beverage with green tea and caffeine. The other group drank Formula B, a beverage with none of these ingredients but colored to look like Formula A. The beverages were blinded at the production site, so the experiment was double-blind. The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers fed each participant the same diet. On the 3rd day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. Which confounding variable is controlled by randomly assigning individuals to treatments? the effect of green tea and caffeine on energy metabolism the effect of green tea and caffeine on energy metabolism the physical fitness level of the participants the physical fitness level of the participants the time of day participants drank the beverages the time of day participants drank the beverages
The confounding variable which is controlled by randomly assigning individuals to treatments is: C. the time of day participants drank the beverages.
What is a confounding variable?A confounding variable is also referred to as a confounder and it can be defined as a type of variable that has the ability to influence both the independent and dependent variables.
Also, a confounding variable is usually not accounted for by the researcher and as such it can cause a spurious association between the independent and dependent variables.
In this context, we can infer and logically deduce that the time of day at which participants drank the beverages is a confounding variable which is controlled by randomly assigning individuals to treatments.
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Drag each equation to the correct location on the table. Determine which equations will result in extraneous solutions.
Answer:
extraneous: 2, 5, 7
not: 1, 3, 4, 6, 8
Step-by-step explanation:
ones that have root of an even number and equal a negative are extraneous
5. It is reported that 20% of Canadian are on CERB (Canada Emergency Response Benefit). In order to further investigate this topic, a researcher selects a random sample of 10 Canadian across the country. Assuming that this is a proper Binomial experiment, what is the probability that at least 3 Canadian are on CERB in the sample? [3 Marks]. 5. It is reported that 20 % of Canadian are on CERB ( Canada Emergency Response Benefit ) . In order to further investigate this topic , a researcher selects a random sample of 10 Canadian across the country . Assuming that this is a proper Binomial experiment , what is the probability that at least 3 Canadian are on CERB in the sample ? [ 3 Marks ] .
Using the binomial distribution, it is found that there is a 0.3222 = 32.22% probability that at least 3 Canadian are on CERB in the sample.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The values of the parameters are:
n = 10, p = 0.2.
The probability that at least 3 Canadian are on CERB in the sample is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]
[tex]P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684[/tex]
[tex]P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020[/tex]
Then:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2684 + 0.3020 = 0.6778.
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6778 = 0.3222[/tex]
0.3222 = 32.22% probability that at least 3 Canadian are on CERB in the sample.
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Find the height of a triangle with an area (A) of 42 square inches and
base (b) of 7 inches. Use the formula for the area of a triangle,
588 inches
147 inches
3 inches
12 inches
Answer:
147
Step-by-step explanation:
start by multiplying 42 and 7=294
now divide that by 1/2 =147
HELP ASAP
will mark brainliest
m=1/4
(or m=0.25)
M= rise/run
= 1/4
Hope this helps!
Can anyone help me solve this question?
Answer: 110
Step-by-step explanation:
<ABC = <DEF
180 - <DEF = 180 - 70
<BED = 110
Which measures are true for the quilt piece? select three options. a = 60° x = 3 in. the perimeter of the rhombus is 16 inches. the measure of the greater interior angle of the rhombus is 90°. the length of the longer diagonal is approximately 7 inches.
The measures that are true for the quilt piece include:
a=. = 60°The perimeter of the rhombus is 16 inches.The length of the longer diagonal is 7 inches.How to depict the information?The value of a will be:
= 90° - 30°
= 60°
The perimeter will be:
= 4 × 4
= 16 inches.
The length of the diagonal will be:
= 2 × 3.46
= 6.92 = 7
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The transportation department has to put a railing along the outer curve of this road. The road is 20 feet wide. What is the length of the outer curve to the nearest foot? Use the value
Using the arc length formula, the length of the outer curve is approximately 85 feet.
How to Find the Length of an Arc?Arc length = ∅/360 × 2πr.
Apply the arc length formula to find the length of the outer curve, given the following:
∅ = 70°π = 3.14r = 50 + 20 = 70 feetPlug in the values
Arc length = 70/360 × 2(3.14)(70)
Arc length = 70/360 × 2(3.14)(70) ≈ 85 feet.
The length of the outer curve is approximately 85 feet.
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Can you prove this statement using properties of logarithms? Assume all expressions exist
and are well-defined
3 log y z^9= log y z^27
Answer:
see below
Step-by-step explanation:
what 3 logy z^9 means you need to break it into two pieces, one log y z^9 means to find the exponent of y, and you can think z^9 as a number, and then if we multiple it with 3, which means three logs are summed,(the property of multiplication:3*2 means 2+2+2), thus log + log
has the property that the y is same z^9*z^9*z^9=z^(9+9+9)=z^27
The sum of three numbers 157. The third number is 7 less than the firstThe second number is 4 times the third What are the numbers?
Step-by-step explanation:
Let the first number be = x
Let the second number be = 4x -28
Let the third = x-7
x + 4x+ x -28 - 7
6x - 35
6x -35 = 157
6x = 157 +35
6x = 192
x = 32
therefore, x = 32, the second x = 4(32) -28
728 - 28
x = 100
third x = 32 - 7
x = 25.
solve for x: x = 0.7x + 24
Answer:
x=80
Step-by-step explanation:
x=0.7x+24
We move all terms to the left:
x-(0.7x+24)=0
We get rid of parentheses
x-0.7x-24=0
We add all the numbers together, and all the variables
0.3x-24=0
We move all terms containing x to the left, all other terms to the right
0.3x=24
x=24/0.3
x=80
Answer:
x = 80
Step-by-step explanation:
We are given the following equation.
x = 0.7x + 24
And we want to solve it for x.
For these kinds of equations, the way to solve for x is to isolate x on one side.
Because we have terms with x on both sides of the equation, we need to remove it from one side.
It's a good idea to remove x from the right side, as we also have our numbers on that side. If we move it to the left side, there aren't any numbers there, so we can more easily solve this equation.
Here is our equation again:
x = 0.7x + 24
Subtract 0.7x from both sides.
x = 0.7x + 24
-0.7x -0.7x
______________________
0.3x = 24
Now, we have variables on one side, and numbers on the other, but we aren't done yet.
Remember that we are solving for x, not 0.3x. (When x is written by itself, it is the same as 1x).
So, in order to find the value of 1x, we need to divide both sides by 0.3, as when a number is divided by itself, the value is 1. If there is a variable, the value will be 1*that variable (e.g. 1n, or n)
**Note that we don't divide by 0.3x, as if we did that, the left side would equal just 1, not 1x.
So, let's divide both sides by 0.3.
0.3x = 24
÷0.3 ÷0.3
__________
x = 80
Topic: solving linear equations
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how can -6 divide by 4 x=12 be solved in one step
Here are the solving steps for the problem.
Given:
[tex]\displaystyle \frac{-6}{4x}=12[/tex]
[1] Multiply both sides of the equation by 4x:
[tex]\displaystyle 4x(\frac{-6}{4x})=(12)4x[/tex]
-6 = 48x
[2] Divide both sides of the equation by 48:
[tex]\displaystyle \frac{-6}{48} = \frac{48x}{48}[/tex]
[tex]\displaystyle x=-\frac{1}{8}[/tex]
I am not sure how to solve the equation in one step, so here is it in two steps. My apologies.
Answer:
[tex] - \frac{1}{8} [/tex]
Step-by-step explanation:
The Algebraic Equation -6 divide by 4x = 12 can be stated mathematically as :
[tex] \frac{ - 6}{4x} = 12 \\ \\ cross \: multiplying \\ \\ 4x \: \times 12 = - 6 \\ \\ 48x = - 6 \\ dividing \: bothsides \: by \: 48 \\ \frac{48x}{48} = \frac{ - 6}{48} \\ \\ x = - \frac{1}{8} [/tex]
What is 8/9 divided by 2/3
What is the explicit formula for this sequence? -7, -3, 1, 5, ...
Hello,
What is the explicit formula for this sequence? -7, -3, 1, 5, ... ?
Aₙ₊₁ = Aₙ + 4 and A₀ = -7
⇒ Aₙ = A₀ + nr = -7 + 4n
Cheryl invested $1000 on Monday.Each day after that the stock increased 1% of its original value.On Wednesday she was charged an administrative fee of $10. Graph the value of the stock account at the end of each day
The value of the stock account at the end of each day is mathematically given as
x=1010$.
What is the value of the stock account at the end of each day?Generally, The price of the stock would have climbed by 1000 points, which is equal to 0.1 times 1000, or 10 dollars.
Therefore, the price of the stock would be 1010 dollars plus 10 dollars, which is 1020 dollars.
In conclusion, Cheryl was required to pay a ten dollar administrative fee, and this cost would be deducted from the stock price.
Following this logic, the price of the stock would be
x=1020-10
x=1010$.
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WILL MARK BRAINLIEST
Answer: constant of proportionality = 0.75
How to find constant of proportionality?
Constant of proportionality is the same as the slope of a straight line.
Slope formula is given by:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
Here take two points: (0, 0), (4, 3)
[tex]So, \sf \ slope : \dfrac{3-0}{4-0} = \dfrac{3}{4} \quad or \quad 0.75[/tex]
Hence, the constant of proportionality is 0.75
Answer:
Constant of proportionality = 0.75
Step-by-step explanation:
To find the constant of proportionality of a graph that goes through the origin:
• First select a point on the graph whose coordinates you can easily read; in this case such a point is already marked (4, 3).
• Next, simply divide the y-value by the x-value of the coordinates to find the constant of proportionality:
Constant of proportionality = y ÷ x
⇒ 3 ÷ 4
⇒ 0.75
Find the perimeter of the rectangle.
Answer:
10x² + 8x + 22
Step-by-step explanation:
The perimeter of a rectangle is the measurements of all four side lengths added together
(you can simply multiply both side lengths by 2, because they are the same on both sides--but I'll write them all out for clarity)
side A (top): 5x² + 3x + 7
side B (right): x + 4
side C (bottom): 5x² + 3x + 7
side D (left): x + 4
perimeter = side A + side B + side C + side D
5x² + 3x + 7 + x + 4 + 5x² + 3x + 7 + x + 4
now, as you might have noticed, this is a long equation
so, we must combine like terms:
(this is the problem reordered so like terms are next to each other:)
(5x² + 5x²) + (3x + x + 3x + x) + (7 + 4 + 7 + 4)
10x² + 8x + 22
So, the perimeter of this rectangle is 10x² + 8x + 22
hope this helps! have a lovely day :)
Help please
This diagram shows the measurements of a yard.
What is the area of the yard?
Enter your answer in the box.
Answer:
Step-by-step explanation:
we can break up the figure into 2 rectangles by extending the 8m side downward until it meets the bottom (see image)
Area of this rectangle = 10 * 2 =20 sq meters
Area of the other rectangle = 8 *2 = 16 sq meters
Total area = 36 sq meters