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6) What are the three conditions that determine the continuity of a function?
\( \begin{array}{llll}\text { ()) } f(x)=\frac{x^{3}-1}{x-1} & x \neq 1 & \text { b) ) } f(x)=\frac{x^{3}-1}{x-1} \quad x \neq 1 \\ \text { 2, } x=1 & 3, & x=1\end{array} \)
Calculus
41) A dietitian is creating a meal plan that includes a combination of fruits \( (f) \) and vegetables (v).
The meal plan must meet the following nutritional and cost constraints:
- Each meal plan must provide at least 45 grams of fiber.
- The total cost per meal must not exceed \( \$ 24 \).
- Each serving of fruit provides 15 grams of fiber and costs \( \$ 7 \).
- Each serving of vegetable provides 35 grams of fiber and costs \( \$ 9 \).
Let \( f \) represent the number of servings of fruit and \( v \) represent the number of servings of vegetable in a meal pla
Which of the following inequalities represent the constraints of the meal plan? Select all that apply.
A. \( \square \) \( 15 f+35 v \geq 45 \)
B. \( \square \) \( 7 f+9 v \leq 24 \)
C. \( \square \) \( 9 f+7 v \leq 24 \)
D. \( \square \) \( 35 f+15 v \geq 45 \)
2 of 5
Previous
Ime
Srbomit
Algebra
20. \( P( \) Drawing a Queen \( )=\frac{4}{52} \) What is the probability of not drawing a Queen?
21. If \( P(A)=\frac{10}{17} \), what is the \( P(A \) does not occur)?
Probability
Find the least common denominator of \( \frac{3}{2 x-8} \) and \( \frac{2 x}{5 x-20} \).
\[ \square \]
Algebra
Evaluate the expression without using a calculator.
\( \operatorname{arccsc}(2) \)
Trigonometry
Prove the identity.
\[ \frac{\cos ^{2} \alpha+\cot \alpha}{\cos ^{2} \alpha-\cot \alpha}=\frac{\cos ^{2} \alpha \tan \alpha+1}{\cos ^{2} \alpha \tan \alpha-1} \]
To verify the identity, work each side separately until you obtain the same expression. Start
with the left side. Choose the correct step and transform the expression according to the
step chosen.
\( \frac{\cos ^{2} \alpha+\cot \alpha}{\cos ^{2} \alpha-\cot \alpha}=\square \)
Trigonometry
1a) \( e^{3} \cdot e^{-5} \cdot e \)
Algebra
1.) \( 15+m=45 \)
8.) \( 2+m=124 \)
2.) \( d-7=5 \)
9.) \( r-14=56 \)
3.) \( 21+x=84 \)
10.) \( 29+t=77 \)
4.) \( y-9=123 \)
11.) \( 19+x=143 \)
5.) \( x-13=12 \)
12.) \( 5+v=11 \)
6.) \( Z-31=174 \)
13.) \( 7+c=31 \)
7.) \( h-4=7.2 \)
14.) \( 18+c=213 \)
Algebra
How can you spot identity theft by looking at the personal section of your
credit report?
If you see credit lines that you have opened
If you see your accounts
If you see hard inquiries
If you see an address that isn't yours
Economics
You don't have any credit, but when you check with a credit bureau, they
have a credit report for you. What can you conclude?
There is nothing to worry about
You could be the victim of identity theft
The credit bureau made a clerical error
You are not the victim of identity theft
Economics
Sinplify
a) \( \frac{a b-a^{2}}{b^{2}-a} \div \frac{a^{2}}{b^{2}+a b} \)
b.
b. \( \frac{a^{2}-a}{a}-\frac{a}{18} \)
c. \( \frac{a-4}{2(a-a)} \)
d) \( \frac{x^{2}+2 x+1}{x^{2}+x} \)
Algebra
Question
Drag the blue movable points to produce a graph that correctly represents the inequality \( y \leq-x^{2}-2 x-6 \).
You may select one of the five possible shading options by sliding the black point up or down the panel on the left side of
the graphing window.
Algebra
1) \( \begin{aligned}(2 x+3)(5 x+1) & =0 \\ \text { 1) }(x-3)(x+9) & =0\end{aligned} \)
Algebra
What is the definition of freezing your credit?
You can only use your credit cards if you notify one of the credit reporting
agencies
No one can open a credit card in your name
The credit reporting company will call to check when someone tries to open a
new account
No one can use your credit cards to make a purchase
Economics
Week:5-6
Date:
\( \qquad \)
Skill: Reading and Vlowing
Theme: Advertigement
Actlvity 6: Study the advertisement
Study the advertisement in your activity 2 and answer the questions that follow.
1. Mention the element of advertisement that is not evident in the advert in activity
Visuals, slogan, price, Copy \( \qquad \)
2. What are the effects of the following elements in an advertisement.
Price
\( \qquad \)
\( \qquad \)
Visual
\( \qquad \)
\( \qquad \)
Logo
State whether the following statement is True or False and support your
e internet offers the advertisers a great tool \( \qquad \)
English
10. Imagine that you are dividing marbles or dealing cards. Describe a situation for which you
could use these kinds of algebraic equations to solve a problem. Write examples for both types
of equations you used. Be specific and explain fully.
Algebra
What's the difference between a freeze and an alert?
With a credit freeze, you can't apply for credit, and it's the same for a fraud alert
With a credit freeze, you can apply for new credit but you can't use your credit
cards, while with a fraud alert, you can
With a credit freeze, you can't apply for any new credit, while with a fraud alert,
you can
With a credit freeze, you can apply for new credit, while with a fraud alert, you
can't
Economics
17. A pair of dice are rolled. One die is black and one is white. What is the probability that:
a. You roll a 6 on the black and a 5 on the white?
b. Both die are less than 4 ?
c. The black die is at least 5 and the white die is at most 4 ?
d. You roll two odd numbers?
e. You roll an even on the black or an odd on the white?
18. A drawer contains 5 black ties and 3 red ties. Suppose you reach in a drawer and draw two ties
at random. What is the probability of:
a. Drawing two black ties?
b. Drawing one of each color?
c. Drawing two red ties?
19. A box contains 6 good bulbs and 2 defective bulbs. You reach in the box and draw two bulbs at
random. What is the probability of:
a. Drawing two defective bulbs?
b. Drawing two good bulbs?
c. Drawing one of each?
Probability
For each expression, simplify if possible.
If applicable, click on "Cannot be simplified"
\( \frac{6 v+5}{5 v+6}=\square \)
\( \frac{v-7}{-7+v}=\square \)
Algebra
For each expression, simplify if possible.
If applicable, click on "Cannot be simplified".
\( \frac{6 v+5}{5 v+6}=\square \)
\( \frac{v-7}{-7+v}=\square \)
Algebra
Y. A boskel th thed with cards. one for each rette of the aphebet and ove for each dig! \( 0-9 \) One curd hishosen.
a) p(number)
b) \( P \) (vowel or oven number)
c) Plletter after \( N \) or number
d) P(letter or odd number)
Probability
Evaluate the expression without using a calculator.
\[ \arcsin \left(\frac{\sqrt{2}}{2}\right) \]
Trigonometry
For each expression, simplify if possible.
If applicable, click on "Cannot be simplified".
\( \frac{\begin{array}{l}\frac{6 v+5}{5 v+6} \\ \frac{v-7}{-7+v}\end{array}=\square}{\square} \)
Algebra
Simplifying a ratio of linear polynomials: \( 1,-1 \), and no simplification
For each expression, simplify if possible.
If applicable, click on "Cannot be simplified".
\[ \begin{array}{l}\frac{2 v+5}{5+2 v}=\square \\ \frac{4-3 v}{3 v-4}\end{array}=\square \]
Algebra
(d) Leonard travels a distance of 240 km to visit his parents. He calculates that, if he increases
his average speed by \( 20 \mathrm{~km} / \mathrm{h} \), the journey will take him 2 hours less. Determine his original
speed.
Algebra
e) \( 2 x^{2}-2 x=4 \)
Algebra
1.3.2 Make a conjecture with regard to \( r^{n} \) and \( S_{n} \) as \( n \rightarrow \infty \)
(2)
1.4 CASE 3: \( r=1 \)
1.4.1 What is the sum of the geometric series
\[
S_{n}=a+a r+a r^{2}+\ldots a r^{n-1} \text { if } r=1 ?
\]
1.4.2 Make a conjecture with regard to \( r^{n} \) and \( S_{n} \) as \( n \rightarrow \infty \)
1.5 CASE 4: \( r=-1 \)
1.5.1 What is the sum of the geometric series
\[
S_{n}=a+a r+a r^{2}+\ldots a r^{n-1} \text { if } r=-1 ?
\]
1.5.2 Do the sums above approach some finite particular number as \( n \rightarrow \infty \) i.e. is the sequence divergent or convergent?
1.6 CASE 5: \( -1<r<1 \)
REQUIREMENTS:
- One A4 papers
- Provided grid
1.6.1 Write THREE possible values of \( r \) such that \( -1<r<1 \).
1.6.2 Step 1. Cut the A4 size paper along the longest side into two equal Rectangles and define their areas to be 16 unit \( ^{2} \).
1.6.3 Step 2. Place one half of the rectangle in Step 1 on the desktop and cut the other half along the longest side in to two equal rectangles.
1.6.4 Step 3. Place one half of the rectangle in Step 2 on the desktop and cut the other half along the longest side into two equal rectangles.
1.6.5 Step 4. Continue with the procedures from Step 3 until you find it too difficult to fold and cut the piece of paper you are holding.
1.6.6 Step 5. The first piece of paper you placed on the desktop has an area of \( \frac{1}{2} \) the area of the A4. The second piece of paper has an area of \( \frac{1}{4} \) the area of the A4. Write the areas of the next three pieces of paper.
(3)
(I)
1.6.7 Explain why these areas form a geometric sequence.
Pre Calculus
d) \( x^{2}-6 x-16=0 \)
Algebra
c) \( x^{2}-2 x-8=0 \)
Algebra
k) \( 6 x\left(x^{2}-36\right)=0 \)
Algebra
EXERCISE 11
(a) The perimeter of a rectangle is 44 m and the area is \( 117 \mathrm{~m}^{2} \). Determine the dimensions of
the rectangle.
Algebra
The function \( p \) is defined as \( p(x)=\left\{\begin{array}{ll}2 x+1 & \text { if } x>1 \\ -x^{2}+1 & \text { if }-1<x<1\end{array}\right. \)
The domain of function \( p \) is:
(A) \( D p=(-1, \infty) \)
(B) None of these
(C) \( D p=(-\infty, \infty) \)
(D) \( D p=(-1,1) \)
(E) \( D p=(-1,1) \cup(1, \infty) \)
Pre Calculus
For each expression, simplify if possible.
If applicable, dick on "Cannot be simplified"
\( \frac{v+2}{-v-2}=\square \)
\( \frac{8 v+3}{3 v+8}= \)
Algebra
c) \( x^{2}-2 x-8=0 \)
Algebra
What is the definition of freezing your credit?
No one can use your credit cards to make a purchase
The credit reporting company will call the person trying to open the new
account
You can only use your credit cards if you notify one of the credit reporting
agencies
No one can open a credit card in your name
Economics
For each expression, simpilify if possitile.
If applicable, click on "Camnot be simplifiet".
\[ \frac{v+2}{-v+2}=\square \]
\( \frac{5 v+3}{3 v+8}=\square \)
Algebra
You don't have any credit, but when you check with a credit bureau, they
have a credit report for you. What can you conclude?
You could be the victim of identity theft
There is nothing to worry about
The credit bureau made a clerical error
Yot the victim of identity theft
Economics
A horse race has 10 entries and one person owns 3 of those horses. Assuming that there are no ties, what is the probability that those three horses finish
first, second and third (regardless of order)?
The probability that the three horses finish first, second and third is
(Round to four decimal places as needed.)
Probability
QUESTION 4
4.1. If 24 litres of water is pumped in 20 seconds, how long will it take to
pump 84 litres in minutes and seconds?
4.2. \( \begin{array}{l}\text { The pressure }(P) \text { on a diver under water is directly proportional to } \\ \text { the square of her depth (d) below the surface of the water. The } \\ \text { diver has reached a depth of } 10 \text { metres. To what depth should the } \\ \text { diver go for the pressure to double? }\end{array} \)
Physics
Assignment in Math
Jude reconded his family's electric consuption
for 2 months. The initial reading is 27193 KWh
and the next reading is 27310 kWh . How man?
KWh is used in a month?
A. Asked
B. Given
C. Operation
A. Numper sentence
Arithmetic
14. A card is drawn from a deck of 52 cards and a die is tossed. What is the probability of:
a. Drawing a heart and tossing a 1?
b. Drawing a heart or tossing a 1?
c. Drawing a face card and tossing an even number?
d. Drawing a face card or tossing an even number?
15. Two cards are selected from a deck of 52 cards without replacement. What is the probability of:
a. Drawing two diamonds?
b. Drawing a club and then a heart?
c. Drawing two black cards?
16. A box contains 3 oranges, 2 apples, and 5 bananas: You reach in the box and draw 3 pieces of
fruit. What is the probability that:
a. All three are bananas?
b. You draw a blnana, apple, and orange in that order.
c. You draw no apples?
d. You draw two banana, and then an orange in that order?
Probability
M Question 8, 3.4.39, HW Score: \( 72.22 \%, 6.0 \) ui y puirris
\( 1 \leftarrow \begin{array}{l}\text { A committee has twelve members. There are two members that currently serve as the board's chairman and ranking member. Each member is equally } \\ \text { likely to serve in any of the positions. Two members are randomly selected and assigned to be the new chairman and ranking member. What is the } \\ \text { probability of randomly selecting the two members who currently hold the positions of chairman and ranking member and reassigning them to their } \\ \text { current positions? }\end{array} \)
The probability is \( \square \).
(Round to four decimal places as needed.)
Probability
Find the slope of the line that passes through \( (2,2) \) and \( (5,3) \).
Simplify your answer and write it as a proper fraction, improper fraction, or integer
Pre Algebra
432. Koordinata tekizliginde iki üýtgeýän ululykly den̆leme
ler sistemasynyn̆ çözüwler köplügini şekillendirin̆:
\( \begin{array}{ll}\text { a) }\left\{\begin{array}{ll}y=x^{2}, & \text { b) } \\ x y-1,5 ; & \begin{array}{l}3 x+1=0 \\ x-y=1\end{array}\end{array}\right.\end{array} \).
Algebra
If you fear you've been the victim of identity fraud, who do you contact to
freeze your credit?
A private detective
The credit reporting agencies - Experian, TransUnion, and Equifax
The Federal Communications Commission (FCC)
Credit card companies where you might open an account
Everyday
\( 1 \leftarrow \quad \) A certain lottery has 30 numbers. In how many different ways can 4 of the numbers be selected? (Assume that order of selection is not important.)
Probability
What's the difference between a freeze and an alert?
With a credit freeze, you can apply for new credit, while with a fraud alert, you
can't
With a credit freeze, you can't apply for any new credit, while with a fraud alert,
you can
With a credit freeze, you can apply for new credit but you can't use your credit
cards, while with a fraud alert, you can
With a credit freeze, you can't apply for credit, and it's the same for a fraud alert
Economics
Find the slope of the line that passes through \( (2,7) \) and \( (5,5) \).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Pre Algebra
Which credit utilization rate would be preferable to a lender on a credit
card application?
\( 43.0 \% \)
\( 83.0 \% \)
\( 76.3 \% \)
\( 27.5 \% \)
Economics
Ouestion 9 of 10
What is a good strategy if you want to improve your credit score?
Increase your account balance
Minimize new applications for credit
Overdrawing your bank balance
Pay your credit card bills late once in a while
Economics
partye voel hulle word verstaan en gewaardeer.
[Aangepas uit Betterup is hier. Toegang is op 09 Oktober 2024 verkry]
olys, noem (bullet onder mekaar)
1.1 Gee die terme wat vir positiewe stres en negatiewe stres gebruik word.
\( (1+1)(2) \)
1.2 Beskryf die term hànteringsmeganisme met betrekking tot stres. \( (1 \times 2)(2) \) Plan Imciode met betracuing tot Stress
1.3 Identifiseer VIER tipes stressors.
\( (4 \times 1)(4) \)
\&-1.4 (Noem algemene tekens van stres tydens toetse of eksamens.
\( (4 \times 1)(4) \)
1.5 Vord naar, kopseer, kou nacls, maciaraal, hande Snect verduidelik hoe stres kommunikasie in jou verhouding met jou maats kan beïnvloed. Invioed van etres op kummunika(3ik 2) (6) impak wat dit op die veinouding het.
1.6 Wat is die impak van stres op jou konsentrasietydens eksamens? \( (3 \times 2)(6) \) mod me
Planne / me todes.
konsemtrasie
1.7 Bespreek strategieë om stres voor die toetse in Maart te verminder. \( (3 \times 2)(6) \)
Stel studie program op Imack vicegtuidig opeomming si en notas.
1.8 Analiseer hoe beskikbaarheid van fondse om vir studies na Gr 12
te betaal jou finansiedle stres kan verminder mag nie na leerly \( (3 \hat{x}) \) ) \( )^{(6)} \) ) soos werk wir \( h \) besigheid terwyl jy leer.
pract cor tipe beurse lregeringsprogiamne I deeltydse werkgge
1.9) Bespreek krities hoe sosiale ondersteuning kan help met diesodat jy jpu copere tee bestuur van stres, wanneer jy geld ieen by \( n \)
oueis londernus / bank / besigneid.
ouels londernys l iorap. effelk.
1.10さ Evalueer die impak wat' \( n \) gapingsjaar op ' \( n \) student se stresvlakke
ou tocko kan hê. negatief en positref.
+sal stresulakke verminder omdat jy nie
\( (1 \times 4)(4) \) stres oor studies nie maar jy word lei om [46] We studeer. Elei tot meer becommerniese maar finane
- nodige onderstluning te gee juversterk y.
in viacg kan verkeerd geimenpleteer word en ox so punte verloor.
Social Sciences
อบเดียว
วามรู้ทางสถิติในการ ไั้งนำสถิติไปใช้ใน
5. ตั้งแต่ พ.ศ. \( 2554-2558 \) เกษตรกรมีรายได้จากการปลูกมะเขือเทศ เฉลี่ยปีละกี่บาท
1. 40,500 บาท
2. 42,000 บาท
3. 52,500 บาท
4. 53,000 บาท
6. รายได้จากการปลูกมะเขือเทศปีที่ขายได้มากสุด และปีที่ขายได้น้อย สุด ต่างกันกี่บาท
1. 65,000 บาท
2. 55,000 บาท
3. 45,000 บาท
4. 35,000 บาท
Statistics
What kind of credit inquiry has no effect on your credit score?
A hard inquiry has no effect on your credit score
Both hard and soft inquiries have an effect on your credit score
A soft inquiry has no effect on your credit score
Neither hard nor soft credit inquiries have an effect on your credit score
Economics
Find the standard deviation for the following group of data items.
\[ 30,35,35,43 \]
Statistics
\( 1 \leftarrow \quad \) There are 60 runners in a race. How many ways can the runners finish first, second, and third?
Probability
What is the best definition of a credit report?
A period of time between when you spend money and when the company
charges you interest
A number that shows a snapshot of your credit at a specific moment in time
A history of how you pay back loans and credit cards
A number that shows how much of your overall credit youre using
Economics
Find the standard deviation for the group of data items.
\[ 9,10,11,12,13 \]
Statistics
Deǹlemeler sistemasyny grafiki usulda çözūn̆:
a) \( \left\{\begin{array}{l}(x-4)^{2}+(y-5)^{2}=9, \\ y=x\end{array}\right. \)
Geometry
Which items do credit card and lending companies use to determine
whether to lend you money or not?
Your credit score
Your credit bulletin
Your credit discount
Your credit dispatch
Economics
Think About the Process in the diagram, \( \mathrm{m} \angle 1=(119-y)^{9}, m \angle 2=37^{9} \), and \( m \angle 3=(x+35)^{9} \), Write
an equation to solve for \( x \) and an equation to solve for \( y \), Find the values of \( x \) and \( y \),
Write an equation to solve for \( x \) and an equation to solve for \( y \), Choese the correct answer below,
A. \( x+35=90 \) and \( 37+119-y=90 \)
B. \( 37+x+35=180 \) and \( 119-y=90 \)
C. \( 37+x+35=90 \) and \( 119-y=90 \)
D. \( 37+x+35=90 \) and \( 119-y=180 \)
Geometry
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