Answer:
Web1- Y=30+1.50(x)
Web2- Y=2(x)
Ruth has decided to drop her collision insurance because her car is getting old. Her total annual premium is $916, of which $170.60 covers collision insurance. What will her quarterly payments be after she drops the collision coverage?
Ruth's quarterly payments after the collision coverage is dropped is going to be $186.35.
First find out the annual cost of insurance after the collision insurance is dropped:
= Annual premium - Collision insurance
= 916 - 170.60
= $745.40
The quarterly payments become:
= 745.50 / 4 quarters a year
= $186.35
In conclusion, Ruth will pay $186.35 per quarter.
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Divide the following complex numbers:
(3+ i) / (2-3i)
O A. - 3 - 1
O B. 1 3 - 1
}
C
9 11
+
13 13
D.
3 11
5
Answer:
Standard complex form 3/13 + 11/13i
Step-by-step explanation:
not sure if this helps
What
is an arithmetic sequence with a common difference of −2?
Answer:
An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.
To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.
Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is
20,18,16,14,12
In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.
The amounts of money Gillian earned each week from babysitting are $5, 10, $20, $10, $15, $5, $42, $5. How is the mean of the data set affected when the outlier is removed?
Answer:
The mean will increase, after the outlier is removed.
e) A student spent 50 minutes doing her homework. She spent m minutes doing Geography. 2m minutes doing Mathematics and the remaining (m + 7) minutes studying History. How many minutes did she spend doing Mathematics?
Answer: 22 minutes
Step-by-step explanation: m + 2m + m + 7 = 4m + 7
4m + 7 = 50
4m = 44
m = 11
2m = 11 x 2 = 22 minutes
These trianglesare congruent bythe trianglecongruencepostulate [?].A. AASB. ASAC. Neither, they are not congruent
At the point of intersection, the angles are equal because they are vertically opposite. This means that in both triangle, there are two congruent angles and a congruent sides. Recall,
if any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are congruent by the (Angle side angle) ASA rule
Since the given triangles obey this rule, then the correct option is B
Write as a ratio in simplest form: 14 feet to 2 yards
Answer: It is D
Step-by-step explanation:
3ft in a yd
14ft to 6ft to 7ft to 3ft
Solve for X and enter answer
Answer: \(x=\Large\boxed{5000}\)
Step-by-step explanation:
Concept
\(\log _ab=c\)
\(a^c=b\)
Given equation
\(\log~(\dfrac{x}{5} )=3 \small\text{ (Base 10)}\)
Simplify the logarithm
\(\dfrac{x}{5} =10^3\)
Simplify the exponent
\(\dfrac{x}{5}=1000\)
Multiply 5 on both sides
\(\dfrac{x}{5}\times5=1000\times5\)
\(x=\Large\boxed{5000}\)
Hope this helps!! :)
Please let me know if you have any questions
ILL GIVE BRAINLIEST!! Pls answer A
Find the mÁB
104°
126°
B
D
Answer:ILL GIVE BRAINLIEST!! Pls answer A
Find the mÁB
104°
126°
B
D
Step-by-step explanation:ILL GIVE BRAINLIEST!! Pls answer A
Find the mÁB
104°
126°
B
D
Factor −5x2 + 10x.
PLS HURRY NEED THIS DUE TODAY
Answer:
C. 5x(-x + 2)
Step-by-step explanation:
To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.
Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.
Both terms have the common factor of 5x, so we can factor out 5x:
5x(-x + 2)
Therefore, the factored form of -5x² + 10x is -5x(x - 2).
\(\hrulefill\)
Additional notes:
If we expand the expressions in the given answer options, we get:
A. −5x(x + 2) = -5x² - 10x
B. 5(−x² + 10x) = -5x² + 50x
C. 5x(−x + 2) = -5x² + 10x
D. x(5x + 10) = 5x² + 10x
Hence confirming that the correct answer is option C.
To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):
\(-5x^2 + 10x = \boxed{-5x(x - 2)}\)We can check our answer by distributing \(-5x\) to the expression inside the parentheses:
\(\begin{aligned}-5x(x - 2)& = (-5x)(x) + (-5x)(-2)\\& = -5x^2 + 10x\end{aligned}\)\(\therefore\) The answer is \(-5x(x-2)\).
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Express the function graphed on the axes below as a piecewise function.
\(f(x)=\left\{\begin{array}{c}\frac{-5 x}{2}-8\end{array}\right. $$\) for x\(\leq\) -4
6 for x > 5
is the piecewise function of the given graph.
To get the piecewise function, we have
The equation of the line which through points (-4,2) ,(-6,7).
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}\left(x-x_1\right)\)
\(y-2=\frac{7-2}{-6-(-4)}(x-(-4))\)
\(y-2=\frac{5}{-2}(x+4)\)
\(y-2=\frac{5 x}{-2}-10\\&y=-\frac{5 x}{2}-10+2\\&y=-\frac{5 x}{2}-8\\&f(x)=-\frac{5 x}{2}-8\\\)
(y=f(x)) for x≤ -4
f(x)=y=6 for x>5
\(f(x)=\left\{\begin{array}{c}\frac{-5 x}{2}-8\end{array}\right. $$\) for x\(\leq\) -4
6 for x > 5
Therefore the piecewise function is
\(f(x)=\left\{\begin{array}{c}\frac{-5 x}{2}-8\end{array}\right. $$\) for x\(\leq\) -4
6 for x > 5
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I really need help with this trigonometric function, i am struggling and it would mean a lot.
Answer:
should be 22.5 for the first one and 324 for the second
Step-by-step explanation:
pi = 180° so you can take the multiplier by pi and switch pi to be 180
Combine like terms 4x+5+3x-2
Answer:
7x+3
Step-by-step explanation:
Combine like terms:
(4x+3x)+(5-2)
7x+3
Pls help step by step (special right triangles)
Value of base and hypotenuse of triangle are 9√3 and 18 respectively.
Define right triangleA right triangle is a triangle with one interior angle measuring 90 degrees, known as a right angle. The side opposite to the right angle is called the hypotenuse, and the other two sides are known as the legs of the right triangle. The length of the hypotenuse can be found using the Pythagorean theorem, that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
Height of triangle=9
Base of triangle=y
Hypotenuse of triangle=x
Using trigonometric ratio
Sin30°=Height/Hypotenuse
½=9/x
x=18
Cos30°=Base/hypotenuse
√3/2=y/18
y=9√3
Hence, value of base and hypotenuse of triangle are 9√3 and 18 respectively.
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ABC~A'B'C'. Their scale factor is 7:9. If the perimeter of smaller ABC is 42, then the
perimeter of A'B'C' is.
Pls hurry!!
Answer:
54
Step-by-step explanation:
ratio is 7:9
7=42
9=?
9×42÷7
15. Twenty students were asked whether they were freshmen, sophomores, juniors, or seniors. Their responses are as follows:SOFRSRFRSRSOSOSRJRJRJRJRSOSRSRSRSOSRFRSOSelect the correct bar chart for this data.1234567YearFrequencyFRSOJRSR[Graphs generated by this script: setBorder(49,45,0,10); initPicture(0,13,0,7);axes(1000,1,1,1000,1); fill="blue"; textabs([165,0],"Year","above");textabs([0,95],"Frequency","right",90);rect([1,0],[3,3]);text([2,0],"FR","below");rect([4,0],[6,6]);text([5,0],"SO","below");rect([7,0],[9,4]);text([8,0],"JR","below");rect([10,0],[12,7]);text([11,0],"SR","below");]12345YearFrequencyFRSOJRSR[Graphs generated by this script: setBorder(49,45,0,10); initPicture(0,13,0,5);axes(1000,1,1,1000,1); fill="blue"; textabs([165,0],"Year","above");textabs([0,95],"Frequency","right",90);rect([1,0],[3,1]);text([2,0],"FR","below");rect([4,0],[6,4]);text([5,0],"SO","below");rect([7,0],[9,3]);text([8,0],"JR","below");rect([10,0],[12,5]);text([11,0],"SR","below");]1234567YearFrequencyFRSOJRSR[Graphs generated by this script: setBorder(49,45,0,10); initPicture(0,13,0,7);axes(1000,1,1,1000,1); fill="blue"; textabs([165,0],"Year","above");textabs([0,95],"Frequency","right",90);rect([1,0],[3,2]);text([2,0],"FR","below");rect([4,0],[6,7]);text([5,0],"SO","below");rect([7,0],[9,4]);text([8,0],"JR","below");rect([10,0],[12,6]);text([11,0],"SR","below");]1234567YearFrequencyFRSOJRSR
To determine which histogram corresponds to the responses of the students when asked in what grade they were, the first step is to order the data in a frequency table.
The categories you have to use for the table are "freshmen" (FR), "sophomore" (SO), "juniors" (JR), and "seniors" (SR). The frequency for each category corresponds to the number of people that answered accordingly, for example, 3 people answered that they were freshmen, so the absolute frequency for this category is three.
The height of the bars on the bar chart represents the frequency for each category.
Looking at the bar charts, the first one represents the data shown in the table.
The correct option is the first one.
Simplify (2+3)^2+8/2
Answer:
Exact Form: − 29 30 Decimal Form: − 0.9 ¯ 6
Hoped I helped
In the right △ABC with m∠C=90°, m∠B=75°, and AB=12 cm. Find the area of △ABC.
Don't use trig to solve, don't know how to.
The area of the right triangle is 18.02 cm².
How to find area of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sum of angles in a triangle is 180 degrees.
Therefore, let's find the area of the right angle triangle as follows;
let's find the height and base of the triangle.
using trigonometric ratios,
cos 75 = adjacent / hypotenuse
cos 75 = base / 12
base = 3.10582854123
Therefore,
sin 75 = opposite / hypotenuse
sin 75 = h / 12
height = 11.5911099155
height = 11.59
Therefore,
area of the triangle = 1 / 2 × 3.11 × 11.59
area of the triangle = 36.0483518371 / 2
area of the triangle = 18.0241759186
area of the triangle = 18.02 cm²
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Whitney has £12 pocket money.
She spends 50% of her pocket money on
magazines.
She spends 33% of her pocket money on apps.
How much pocket money does she have left?
Show the steps in your working.
answer
£2
explanation
12÷50%=6
12÷33%=4
6+4=10
12-10=2
Answer:
2.04 pounds left.
Step-by-step explanation:
Whitney has 12 pounds pocket money
She spends 50% of it on magazines
50% of 12 pounds is 50/100 * 12 = 600/100 = 6 pounds
33% of 12 pounds is 33/100 * 12 = 395/100 3.96 pounds
Total Spent 9.96 pounds
Amount left = 12 - 9.96 = 2.04
She has 2.04 pounds left.
Sam's parents gave him a map to reach his house. He is 1.5cm from his home. If each 3 cm on scale drawing equals 5 km, how far is he from the house?
Answer: Sam was 2.5 Km far from his house
Step-by-step explanation:
Sam's parents gave him a map to reach his house.
As per Map Sam was =1.5cm from his home.
To find actual distance from house
If we consider actual distance of sam house =X
We have,
If each 3 cm on scale drawing equals 5 km
We know on map 3cm = 5Km
If 1.5 cm = X Km
We need to cross multiple
3X =1.5 × 5
3X = 7.5
X= 7.5÷3
X= 2.5 Km
Sam was 2.5 Km far from his house.
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You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
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Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their grade-point averages (GPAs) after students were in the Sante Fe program for 2 years.
Student A B C D E F G
SAT Score 421 375 585 693 608 392 418
GPA 2.93 2.87 3.03 3.42 3.66 2.91 2.12
Student H I J K L M
SAT Score 484 725 506 613 706 366
GPA 2.50 3.24 1.97 2.73 3.88 1.58
The least-squares regression equation that shows the best relationship between GPA and the SAT score is:_____.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
SAT SCORE :
421
375
585
693
608
392
418
484
725
506
613
706
366
GPA:
2.93
2.87
3.03
3.42
3.66
2.91
2.12
2.50
3.24
1.97
2.73
3.88
1.58
Using the online linear regression calculator ; the regression model obtained is :
ŷ = 0.00345X + 1.00301
0.00345 = slope or gradient
1.00301 = intercept ; where the regression line crosses the y axis
X = independent variable or predictor variable ; y = dependent variable or predicted variable
Use the diagram to help you solve the problem. A pair of shoes has an original price of $65 but is on sale for a 20 percent discount. What number can you multiply by $65 to get the discounted price of $52?
Answer:
0.8
Step-by-step explanation:
Original price= $65
Sale discount= 20%
Discounted price= $65*(100-20)/100= $65*0.8= $52
Answer:
20%
step by step explanation:
65×20/100
65×1/5
13×1
$13.
subtract $13 from $65
$65-13=$52
Given f(x) = 3sqrt(2x-1).
6(2x-1)^2-3
What is lim f(x)?
Answer:
\(\displaystyle 51\)
General Formulas and Concepts:
Algebra I
Terms/CoefficientsFactoringFunctionsFunction NotationAlgebra II
Piecewise functionsCalculus
Limits
Right-Side Limit: \(\displaystyle \lim_{x \to c^+} f(x)\)Limit Rule [Variable Direct Substitution]: \(\displaystyle \lim_{x \to c} x = c\)
Limit Property [Addition/Subtraction]: \(\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)\)
Limit Property [Multiplied Constant]: \(\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)\)
Step-by-step explanation:
Step 1: Define
Identify
\(\displaystyle f(x) = \left \{ {{3\sqrt{2x - 1}, \ x \leq 2} \atop {6(2x - 1)^2 - 3, \ x > 2}} \right.\)
Step 2: Solve
Substitute in function [Limit]: \(\displaystyle \lim_{x \to 2^+} 6(2x - 1)^2 - 3\)Factor: \(\displaystyle \lim_{x \to 2^+} 3[2(2x - 1)^2 - 1]\)Rewrite [Limit Property - Multiplied Constant]: \(\displaystyle 3\lim_{x \to 2^+} 2(2x - 1)^2 - 1\)Evaluate [Limit Property - Variable Direct Substitution]: \(\displaystyle 3[2(2 \cdot 2 - 1)^2 - 1]\)Simplify: \(\displaystyle 51\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
What is indicated by a positive value for a correlation? a. A much stronger relationship than if the correlation were negative b. A much weaker relationship than if the correlation were negative c. Increases in X tend to be accompanied by decreases in Y d. Increases in X tend to be accompanied by increases in Y
Answer: Increases in X tend to be accompanied by increases in Y
Step-by-step explanation:
The option given that indicates a positive value for a correlation is that an increases in X tend to be accompanied by increases in Y.
When two variables are said to be positively correlated, it simply means that the variables move along the same direction. As one variable increase, the other variable too will slow increase and vice versa.
HELP HELP HELP IM GIVING BRAINLIEST!!!!
Answer:
15
Step-by-step explanation:
Adam’s weight to the nearest kilogram is 65 kg what is the greatest possible value of his weight
Answer:
65kg=143.30047 pounds and 1kg=2.20462262 pounds
what is the slope of the line represents by y=5x-7
Five is the slope the formula is y=mx+b m is the slope so it's 5 or 5/1
In a particular brand of spaghetti sauce, there are approximately 1.47 grams of salt in 1 pound of sauce. How many milligrams of salt are there in 1 ounce of sauce?
Answer:91.875
Step-by-step explanation:
A pound contains 16 ounces
1 gram contains 1000mg
1.47*1000=1470
Which means 1 pound contains 1470 mg
1 ounce contains 1470/16 =91.875 mg
Please both questions! I'll give Brainlyest
Answer:
c
Step-by-step explanation:
3=t-12
12+3=t
15=t
c is the answer