Review algebra, geometry, statistics, and number systems. Practice solving equations, simplifying expressions, working with shapes, analyzing data, and understanding number patterns. Understand key terms and notation.
To prepare for your grade 9 mathematics test, focus on key areas like algebra, geometry, statistics, and number systems. Review solving equations, simplifying expressions, and working with geometric shapes. Practice analyzing data, understanding measures of central tendency and dispersion, and interpreting graphs. Refresh your knowledge of integers, fractions, decimals, and percentages, and practice performing operations on them.
Understand the laws of exponents, ratios, proportions, and percentages. Practice problem-solving by working on sample questions covering various topics, applying the appropriate formulas and theorems. Familiarize yourself with mathematical terms, definitions, and notation to enhance understanding and communication. Dedicate study time, create a plan, and seek clarification if needed.
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Write the equation of a line
that passes through: (0, 2) and (-1, 1)
Answer:
y = x + 2
Step-by-step explanation:
slope = Δy / Δx = (1-2) / (-1 - 0) = 1
pass (0,2): y intercept = 2 b=2
y = mx + b
equation: y = x + 2
the slope of x/3 + y/-6 =1 ?
PLS answer asap im stuck on this
Answer:
A
Step-by-step explanation:
It doesn't matter if the negative sign is in the numerator or the denominator.
You want to buy a carpet for a room that is 15 feet wide and 18 feet long. Find the amount of carpet that you need.
Convert the following equation into slope intercept form y-6=2(x+4)
Answer:
y = 2x +14
Step-by-step explanation:
We need to convert the given equation into slope intercept form ,
=> y - 6 = 2(x+4)
=> y -6= 2x + 8
=> y = 2x +8+6
=> y = 2x + 14
• Hence the required answer is y = 2x + 14classify the following graph as a cross-sectional study or a time-series study.
The terms "cross-sectional study" and "time-series study" refer to different types of research designs. A cross-sectional study collects data from a population at a specific point in time, whereas a time-series study collects data from the same population over an extended period.
Based on this definition, it is difficult to classify a graph as either a cross-sectional or time-series study without additional context.
A graph alone does not provide enough information about the research design. It would be best to refer to the accompanying study or research report to determine the type of study represented by the graph.
Therefore, the long answer to your question is that a graph cannot be classified as a cross-sectional or time-series study without further information about the research design.
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Which operation would you do second?
2 · (15 - 2) = 5

Answer:
Step-by-step explanation:
(15-2)
Answer:
2 · 13
Step-by-step explanation:
PEMDAS. c:
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
\(5x^{2} + x ^{2} - 7x + 28\)
The equation that indicates the number of real solution in the polynomial is presented as follows;
\(\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0\)
What is a polynomial?A polynomial is an expression that has two or more algebraic terms of the same variables that have different powers.
The specified expression is presented as follows;
5·x³ + x² - 7·x + 28
The polynomial equation can be factored using a graphing calculator to get;
5·x³ + x² - 7·x + 28 = \(\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5\)
When the expression is equated to 0, we get;
\(\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0\)...(1)
The discriminant of the expression \(\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\) is less than 0, therefore, the expression \(\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\) has no solution
The real solutions found from equation (1) is therefore;
\(x=-\dfrac{15933}{7535}\)
There is therefore one solution to the expression
The equation that expresses the number of solutions is therefore;
\(\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0\)
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6x – 7y = 25
15x+3y = 42
For a linear demand curve given as q=a-bp when the monopolist operates in the ___ region of the demand curve, it can increase total revenue, r(q) by blank price
For a linear demand curve given as q = a - bp when the monopolist operates in the inelastic region of the demand curve, it can increase total revenue, r(q) raising price.
What is a linear demand curve?A linear demand curve is a straight line that depicts the relationship between a product's or service's demand and its price. Everyone understands that sales are proportional to price: the higher the price, the fewer items you can expect to sell.
When the price of a good or service changes, its quantity remains constant. Inelastic demand means that when the price of a good or service rises, consumers' purchasing habits remain relatively unchanged, and when the price falls, consumers' purchasing habits also remain relatively unchanged.
What is inelastic demand?Demand inelasticity means that demand remains constant despite changes in economic factors. Products and services with many alternatives typically have elastic demand, whereas products and services with few alternatives are typically inelastic.
When the monopolist operates in the inelastic region of the demand curve, r(q) raising price, for a linear demand curve given as q = a - bp.
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Kyoko has completed 26 hours of
community service. Her goal is to
complete at least 90 hours this
semester.
Write and solve an inequality to show
how many more hours, h, Kyoko can
complete to meet her goal.
Answer: not sure
Step-by-step explanation:
Answer: 64
Step-by-step explanation:
h + 26 = 90 hours
h + 26 - 26 = 90 - 26
h = 64
An irregular hexagon has angles that measure the following. Angle 1: 2x + 15 Angle 2: 9x - 3 Angle 3: 77 Angle 4: 8x + 8 Angle 5: 13x Angle 6: x - 4 What is the value of x?
Answer: 19
Step-by-step explanation:
1) You combine like terms with all the angles
Ex. 2x + 15 + 9x - 3 + 77 + 8x + 8 + 13x + x - 4, which equals 33x + 93
2) You set up an equation using the formula for the sum of the interior angles
Ex. 33x + 93 = 180(n - 2)
3) Since a hexagon has 6 sides, n is 6
Ex. 33x + 93 = 180(6 - 2)
4) Solve like a regular equation
Ex. 33x + 93 = 180(6 - 2)
33x + 93 = 720
- 93 = - 93
33x = 627
- Divide 627 by 33
x = 19
pls answer quickly
what does t equal in the equation 1/3t -8=-6
Answer:
t equals 6
Step-by-step explanation:
1/3t - 8 =-6
and 8 on both sides
1/3t=2
multiply by 3 on both sides
t=6
If a polynomial function, f(x), with rational coefficients has roots 3 and startroot 7 endroot, what must also be a root of f(x)?
The conjugate which is 3 - √7 is also a root of f(x).
What is the root of a polynomial function?The root of a polynomial function f(x) is the value of x for which f(x) = 0.
Now if a polynomial function has a root x = a + √b then the conjugate of x which is x' = a - √b is also a root of the function, f(x).
What must also be a root of f(x)?
Given that the polynomial function, f(x), with rational coefficients has roots
3 + √7, then by the above, the conjugate which is 3 - √7 is also a root of f(x).
So, 3 - √7 is also a root of f(x).
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WILL GIVE BRAINIST!!!
AND 20 POINTS:)
Ummmm its not clear so
The velocity of a drone, during the first minute of flying, is recorded in the table below. Time (seconds) 0 10 20 30 40 50 60 Velocity (ft./sec) 20 22 26 30 36 34 32Using the left-hand rectangular approximation method (LRAM), what is the approximate total distance the drone flies during the first minutea. 1.480 ftb. 1.680 ftc. 1.800 ftd. 4.780 ft
Answer: 1680 ft
Step-by-step explanation:
See attachment
At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. How many possible choices can she make
At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. Jamie can make 15 possible choices, as per combinations of DVDs.
Number of Possible Combinations:
Given Information is as follows,
Total number of DVDs that Jamie wanted, n = 6
Number of DVDs Jamie can rent at a time, x =4
The Combinations formula is given as,
ⁿCₓ = n! / (n-x)! x!
Here, n = 6 and x = 4
Substituting these values of n and x in the Combinations formula, we get,
⁶C₄ = 6! / (6-4)! 4!
⁶C₄ = 6! / 2! 4!
⁶C₄ = 6×5×4! / 2! 4!
⁶C₄ = 6×5 / 2
⁶C₄ = 3×5
⁶C₄ = 15
Thus, Jamie can make 15 possible combinations of DVDs.
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Will give brainlist i really need help!!
Answer:
40 units^2
Step-by-step explanation:
The area of the triangle is
A = 1/2 bh
A = 1/2 ( 8 * 10)
= 1/2 (80)
= 40 units^2
Step-by-step explanation:
a=1/2*b*h
a=1/2*8*10
a=40
Show that Col A is the subspace spanned by the columns of A. Hint: use Definition 2.4 to show that Ax b implies that b is a linear combination of the columns of A. Definition 3.11 Given is a k x n matrix A. We define the following set: {b e Rk | there exists x e RN such that Ax = b } and will be denoted This set is called the column-space of the matrix by Col A. Definition 3.4 The null-space of a k x n-matrix A is defined as the fol- lowing subspace of RN: Null A = {XER"" | Ax = 0 }
To show that Col A is the subspace spanned by the columns of A, we need to show that:
Col A is a subspace of RN.
Col A is spanned by the columns of A.
To show that Col A is a subspace of RN, we need to show that it satisfies the three subspace properties:
a. Col A contains the zero vector. This is true since the equation Ax = 0 always has a solution x = 0, which means that the zero vector is in Col A.
b. Col A is closed under addition. Suppose b1 and b2 are in Col A, so there exist x1 and x2 such that Ax1 = b1 and Ax2 = b2. Then, for any scalars c1 and c2, we have:
A(c1x1 + c2x2) = c1Ax1 + c2Ax2 = c1b1 + c2b2
which shows that c1b1 + c2b2 is also in Col A.
c. Col A is closed under scalar multiplication. Suppose b is in Col A, so there exists x such that Ax = b. Then, for any scalar c, we have:
A(cx) = c(Ax) = cb
which shows that cb is also in Col A.
Therefore, Col A is a subspace of RN.
To show that Col A is spanned by the columns of A, we need to show that any vector b in Col A can be expressed as a linear combination of the columns of A. By definition, there exists an x such that Ax = b.
This means that b is a linear combination of the columns of A, with the coefficients given by the entries of x. Specifically, if A has columns a1, a2, ..., an, then:
b = Ax = x1a1 + x2a2 + ... + xn an
Therefore, Col A is spanned by the columns of A.
Overall, we have shown that Col A is the subspace spanned by the columns of A.
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Assume that your parents wanted to have $160,000 saved for college by your 18 th birthday and they started saving on your first birthday. They saved the same amount each year on your birthday and eamed 9.5% per year on their Investments. a. How much would they have to save each year to reach their goal? b. If they think you will take five years instead of four to graduate and decide to have $200,000 saved just in case, how much would they have to save each year to reach their new goal?
Your parents would need to save approximately $4,467.56 each year to reach their goal of $160,000 by your 18th birthday. your parents would need to save approximately $40,079.89 each year to reach their new goal of $200,000, assuming a five-year saving period.
a. To calculate the amount your parents would have to save each year to reach a goal of $160,000 by your 18th birthday, we can use the future value of an ordinary annuity formula:
FV = P * [(1 + r)^n - 1] / r
Where:
FV = future value ($160,000)
P = annual savings amount
r = interest rate per period (9.5% or 0.095)
n = number of periods (number of years, in this case, 17 since they start saving on your first birthday until your 18th birthday)
Plugging in the values, we have: $160,000 = P * [(1 + 0.095)^17 - 1] / 0.095
Simplifying the equation and solving for P, we find: P ≈ $4,467.56
b. If your parents decide to save for five years instead of four and aim to have $200,000 saved, we can use the same formula to calculate the new annual savings amount: $200,000 = P * [(1 + 0.095)^5 - 1] / 0.095
Simplifying the equation and solving for P, we find: P ≈ $40,079.89
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What is the noun of press?
the noun press itself is already a noun. though the word can also be expressed as a verb, (for example: he pressed his face against the glass) it can also be a noun (for example: the incident was not reported to the press).
hope this helps. :)
have a great day! stay safe, happy, and healthy!
Select all the correct answers. Exponential function fis represented by the table. x 0 1 2. B 4 f(x) -12 -4 0 2 3 Function gis represented by the equation g(x) –12() Which statements are true about the two functions? The functions have the same y-intercept. Both functions are increasing on all intervals of x. Both functions approach - as x approaches - Both functions approach the same value as x approaches The functions have the same x-intercept.
The functions have the same y-intercept. = true
Both functions are increasing on all intervals of x = true
Both functions approach - as x approaches = false
Both functions approach the same value as x approaches = false
The functions have the same x-intercept. = false
Use synthetic division to find the result when x³ + 7x² - 12x + 14 is divided by a 1. If there is a remainder, express the result in the form q(x) + b(x)*
Using synthetic division, we can divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1. Performing the synthetic division, we obtain a quotient of x² + 6x - 6 and a remainder of 8.
To divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1 using synthetic division, we set up the synthetic division table as follows:
1 | 1 7 -12 14
We begin by bringing down the coefficient of the first term, which is 1, and place it on the line below the division bar. Then we multiply the divisor, 1, by the value we brought down and write the result under the next coefficient. Adding the values in the second row, we obtain the new value. We continue this process for each term until we reach the last term.
1 | 1 7 -12 14
1 8 -4 10
The values in the last row represent the coefficients of the quotient polynomial. Therefore, the quotient is x² + 6x - 6. The remainder, which is the last value in the last row, is 10. Since the divisor is 1, the remainder does not affect the quotient. Hence, the result of the division is x² + 6x - 6 with a remainder of 10.
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Suppose you start at the origin, move along the x-axis a distance of 5 units in the positive direction, and then move downward along the z-axis a distance of 8 units. What are the coordinates of your position?
Answer:
The coordinates of positions are (5, 0, -8) .
Step-by-step explanation:
The distance along with the x-axis = 5 units
The distance along with the z-axis = 8 units
Since it is given that the start point is origin then the Initially you are at: (0, 0, 0)
thus, when moving 5 units along the positive x-axis: (5, 0, 0)
and moving 8 units in the negative z-axis: (5, 0, -8)
therefore, the final coordinates are (5, 0, -8) .
Consider the following argument: All cats are mammals. I am a mammal. Therefore, I am a cat. Show that this is fallacious using the language of set theory. Illustrate the fallacy with a Venn diagram.
The argument "All cats are mammals. I am a mammal. Therefore, I am a cat" is fallacious and can be shown as such using set theory and a Venn diagram.
Let's represent the sets using a Venn diagram:
-------------
| Mammals |
-------------
/ \
/ \
/ \
---- ----
| Cats | | You |
---- ----
In the Venn diagram, the circle labeled "Mammals" represents the set of all mammals, and the circle labeled "Cats" represents the set of all cats. The region where the circles overlap represents the set of mammals that are also cats.
According to the argument, "All cats are mammals," which means that the set of cats is entirely contained within the set of mammals. This relationship is correctly represented in the Venn diagram.
The argument also states, "I am a mammal," which means that you are part of the set of mammals. In the Venn diagram, your position would be within the circle labeled "Mammals" but outside the circle labeled "Cats."
The fallacy occurs when the argument concludes, "Therefore, I am a cat." This conclusion is not valid because being a mammal does not automatically make you a cat. The Venn diagram clearly shows that there is a region within the set of mammals that is not within the set of cats.
To summarize, the fallacy in the argument arises from incorrectly inferring that being a mammal automatically implies being a cat. The Venn diagram visually demonstrates that being a mammal is a broader category that encompasses various animals, including cats, but being a mammal alone does not make one a cat.
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. You are to give your pediatric client 1000mg of Cefazolin in 50mLs of IV fluid and run it over 30 min. At what rate will you set the delivery rate on the pump? 2. You are to give your pediatric client 20mg of Fam otidine in 10 mL of IV fluid and run it over 15 min. At what rate will you set the delivery rate on the pump?
The delivery rate for Famotidine should be set at 2/3 mL/min.
To determine the delivery rate for each scenario, we can use the formula:
Delivery rate = Volume / Time
1. Cefazolin:
Given:
- Dose: 1000 mg
- IV fluid volume: 50 mL
- Infusion time: 30 minutes
Using the formula, the delivery rate for Cefazolin will be:
Delivery rate = 50 mL / 30 min
Simplifying:
Delivery rate = 5/3 mL/min
So, the delivery rate for Cefazolin should be set at 5/3 mL/min.
2. Famotidine:
Given:
- Dose: 20 mg
- IV fluid volume: 10 mL
- Infusion time: 15 minutes
Using the formula, the delivery rate for Famotidine will be:
Delivery rate = 10 mL / 15 min
Simplifying:
Delivery rate = 2/3 mL/min
So, the delivery rate for Famotidine should be set at 2/3 mL/min.
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9th Grade Geometry
Answer:
12
Step-by-step explanation:
You first do 15-6 to tell you the space in between them. then divide that number by 3. A quick way after is to subtract that number(3) from 15 to give you your answer.
explain please
Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.
Solve -17 + n/5 = 33.
Answer:
n=150
Step-by-step explanation:
(-17+n/5)-13=0
-17= -17/1 = -17(5)/5
-17(5)+n/5 = n-85/5
(n-85)/5-13=0
13=13/1 =13(5)/5
(n-85)-(13(5))/5 =n-150/5
(n-150)/5=0
n-150=0
n=150
Kaitlyn flew 630 miles in 90 minutes. How many miles per minute did she fly
Answer:
7 per minute
Step-by-step explanation:
This is because if you divide 630 by 90 it would give you 7, and if you times 7 by 90 it would give you 630,
. For example one minute is 7 miles so 90 minutes is 630 miles. Your welcome.
Answer: 7 per minutes
Step-by-step explanation:
PLZZ HELP 30 POINTS
The table below shows the data for a random sample of fish that were collected from and later released into a lake:
Type of Fish Catfish Grass Carp Bluegill
Number of Fish 52 61 87
How many catfish are estimated to be present if a sample of 800 fish is collected from the lake?
208
260
348
372
Answer: is it 208 or not i'm doing the same test
Step-by-step explanation: