hi <3
okay so there are a few rules you need to be aware of first:
- angles in a triangle sum to 180
- angles on a straight line sum to 180
so first, lets find the missing angle of the triangle:
180 - 80 - (a - 5) = 105 - a
now lets form an equation because we know that 180 subtract this angle equals 2a:
180 - (105 - a) = 2a
75 + a = 2a
subtract a from both sides:
a = 75
hope this helps :)
Answer:
the sum of two interior opposite angel is equal to the exterior angel
Here is Takeshi's work determining a third point on the graph of an exponential function, `h(x)`.
Explain why the work is incorrect.
Answer:
Step-by-step explanation:
Let h(x) = y
The exponentail function is of the form :
\(y = ab^x\)
We have :
\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)
Given points : (4, 9) and (5, 34.2)
We have:
\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)
Writing the equation with x, y and b:
\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)
a = 0.043
b = 3.8
When x = 6, y will be:
\(y = (0.043)(3.8^6)\\\\y = 128.47\)
This is not the y value in the question y = 59.4
Therefore (6, 59.4) does not lie on the graph h(x)
If an order is for 500mg from a dosage strength of 250 mg/mL, is to be administered in 20 cc D5 1/2NS, how many mL of drug is used and how many mL of D5 1/2NS is used?
Answer:
Dosage strength
250mg = 1.5mL
Show me the steps to solving this equation. 3x + 2 = 14
Answer:
4
Step-by-step explanation:
multiply 3 by 4 to get 12 and add 12 to 2 and you get 14
Which of the following expressions is equivalent to the expression 42+90?
A. 6(7+14)
B.6(7+15)
C.7(6+12)
D.6(36+84)
Answer:
B
Step-by-step explanation:
6(7+15)
= 6(7) + 6(15)
= 42 + 90
:D it helps!
in the number 2405, the digit 2 is in the place
Answer:
It's in the thousands place
Step-by-step explanation:
Answer:
The number 2, is in the thousands place.
what is 0.93333333333 as a fraction?
Answer:
14/15
Step-by-step explanation:
Answer:
I'm not very sure how I even got the answer, but the answer is 14/15
What is 7/11 x 1/4 in simplest form
Answer:
\(\frac{7}{11} * \frac{1}{4}\) = \(\frac{7}{44}\).
Cannot reduce it. Then it will make the numerator a decimal
Which cannot happen.
\(\frac{7}{44}\) is the answer then
Answer:
7/11 x 1/4 = 0.015
I hoped it helped you.
The area of this parallelogram is 120 ft2 find the value of h
Answer: 6
Step-by-step explanation:
A=bh plus 120 for A and 20 for B
120=20b
/20 divide by 20 each side
H=6
(Diversifying Portfolios MC)
worth points)
Name of Stock Symbol High Low Close
Stock A
105.19 103.25 103.38
Stock B
145.18 143.28 144.05
A
B
Last year, an investor purchase
difference in overall loss or ga
O The difference in overall gain is $207.00.
O The difference in overall loss is $207.00.
O The difference in overall loss is $200.70.
O The difference in overall gain is $200.70.
shares of stock A at $90 per share and 75 shares of stock B at $145 per share. What is the
ween selling at the current day's high price or low price?
The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.
To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.
Stock A:
High price = $105.19
Low price = $103.25
Close price = $103.38
Stock B:
High price = $145.18
Low price = $143.28
Close price = $144.05
The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.
To calculate the selling prices, we need to multiply the number of shares by the respective selling price.
Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50
Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50
Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50
Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00
Now, let's calculate the difference in overall gain or loss:
Difference in overall gain = Selling price at the high price - Selling price at the low price
= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)
= $16,148.00 - $15,908.50
= $239.50
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If a wheel has a diameter of
35 inches, what is the area of
the wheel to the nearest foot?
Answer:
961.625 ≈ 962
Step-by-step explanation:
(A WHEEL IS A CIRCLE!)
To find the area of a circle, you must multiply the radius by itself twice, then, multiply the product by pi (radius x radius x pi).
Here, only the diameter is shown.
To find the radius, we must divide the diameter by 2.
35 / 2 = 17.5
17.5 is the radius.
17.5 x 17.5 = 306.25.
**3.14 is commonly used for pi**
Lastly, we multiply the product by pi.
306.25 x 3.14 = 961.625
961.625 rounded to the nearest foot is 962.
Therefore, the area of the wheel is 962 feet.
5\times 100+4\times 10+6\times 1+2\times \left(\frac{1}{10}\right)+8\times \left(\frac{1}{1000}\right)5×100+4×10+6×1+2×(
10
1
)+8×(
1000
1
)
Answer:could you make it more clear
Step-by-step explanation:
I don’t understand
Atile installer charges $15 per soruare foot to install floor tile What is the cost to install tile in a room of the size shown?
Answer:
$330
Step-by-step explanation:
You time 15 by each squat ft
Having more equity following the purchase of a home indicates that the purchaser:
A. paid more interest when buying the home.
B. made a larger down payment.
C. created more value by buying the home.
D. earned the right to make the investment.
Answer:
B. Made a larger down payment
Step-by-step explanation: DEFINITELY did NOT just look at this lesson and take the quiz.
Write an expression for the sequence of operations described below
triple 10, then subtract 7 from the result
Answer:
3(10)-7
Step-by-step explanation:
3(10)-7
Help help fast please please
Answer:
this would be a lot easier if i still had my notes from last year
Step-by-step explanation:
That makes no sense. what is the starting equation even?
find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
Check all the statements) that are true about the polynomial function graphed
Its leading coefficient is positive. its leading coefficient is negative.
It has an odd degree
It has an even degree
It has exactlv two real zeroes
It has exactly three real zeroes.
None of the zeroes have even multiplicity
None of the zeroes have odd multiplicity.
The true statements about the polynomial function graphed are:
Its leading coefficient is positive.
It has an odd degree.
None of the zeroes have even multiplicity.
From the given options, the true statements about the polynomial function graphed are:
Its leading coefficient is positive.
It has an odd degree.
None of the zeroes have even multiplicity.
Let's analyze each statement:
Its leading coefficient is positive:
The leading coefficient of a polynomial is the coefficient of the term with the highest degree.
From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.
It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.
If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.
None of the zeroes have even multiplicity:
The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.
In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.
The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.
Therefore, the true statements about the polynomial function graphed are:
Its leading coefficient is positive.
It has an odd degree.
None of the zeroes have even multiplicity.
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What is the domain of the function showing in the graph below? part 1
NO LINKS!
Answer type: Interval
Interval:
Answer:
domain is x ∈ (- ∞, + ∞ )
Step-by-step explanation:
The graph shows
as y → - ∞ , x → - ∞
as y → + ∞ x → + ∞
The domain is therefore real for all values of x
domain is x ∈ (- ∞, + ∞ )
Answer:
(-5, 2)
Step-by-step explanation:
Often, an arrow at the end of a graph indicates the graph extends to infinity in both the x- and y-directions. However, when the graph has a vertical asymptote at each end of its domain, it would have an arrow pointing upward, but not sideways.
It is difficult to tell from this graph what the intention is. It appears that there may be vertical asymptotes at x = -5 and at x = 2. If that is the case, then the domain is restricted to the interval ...
-5 < x < 2
(-5, 2) in interval notation
_____
The attachment is an example of a function that might give rise to a graph like this.
the mass of sugar is 19kg.What is the total mass of 4 such jar of a sugar?
Answer: 76kg
Step-by-step explanation:
If the mass of sugar in one jar is 19kg, then the mass of 4 such jars of sugar can be found by multiplying the mass of one jar by 4:
Total mass of 4 jars of sugar = 4 × 19kg Total mass of 4 jars of sugar = 76kgTherefore, the total mass of 4 jars of sugar is 76kg.
__________________________________________________________
The mass of sugar is 19 kg. What is the total mass of 4 such jar of a sugar?
Answer:The total mass of four jars of sugar is 76 kg.
Solution and Explanation:The total mass of four jars of sugar can be found by multiplying the mass of one jar by 4:
\(\large\rm{Total\: mass = 19\: kg \times 4 = \boxed{\rm{\:76\: kg\:}}}\)
\(\therefore\) The total mass of four jars of sugar is 76 kg.
What is mass?- Mass is a measure of the amount of matter an object contains. It is a fundamental property of an object and is typically measured in units such as kilograms or grams. Mass is different from weight, which is the force of gravity acting on an object's mass. Mass is an intrinsic property of an object and remains constant regardless of its location, while weight can vary depending on the gravitational field it is in. Essentially, mass determines an object's resistance to acceleration or change in motion.
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If a $20,000 investment earns $1,600 over 2 years, what is the annual interest rate?
Answer:
Annual interest rate = 4%
Step-by-step explanation:
We are given;
Principal; P = $20000
Interest; I = $1600
Period; T = 2 years
Formula for simple interest is;
I = PRT
Making R, rate the subject of the formula gives;
R = I/PT
Plugging in the relevant values gives;
R = (1600)/(20000 × 2)
R = 0.04
In percentage form, R = 4%
Find the volume of a cone if its slant height is nine times the length of its radius and its height equals 12sqrt(5) units
Answer:
sorry if im wrong
Right circular cone
V=πr2h
3
Step-by-step explanation:
Tyler and Daniel each deposited money into different banks with different savings plans. Tyler went to
Bank 1 and deposited $500. Daniel went to Bank 2 and deposited $1500. The graph above shows how
much money is in each savings account after 14 years. According to the graph, who will have more money
by year 20, and why?
Daniel, because his money is increasing exponentially.
O Daniel, because his money is increasing linearly.
O Tyler, because his money is increasing exponentially
Tyler, because his money is increasing linearly
Answer:
C
Step-by-step explanation:
Tyler, because his money is increasing exponentially.
I finished taking the test and got it right :)
The person who will have more money by year 20 is given by: Option C: Tyler, because his money is increasing exponentially
What are exponential functions?When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.
For example, \(y = a.b^x\) , where a is a and b are constants is an exponential function.
How to calculate simple interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
\(I = \dfrac{P \times R \times T}{100}\)
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
\(CI = P(1 +\dfrac{R}{100})^T - P\)
The final amount becomes:
\(A = CI + P\\A = P(1 +\dfrac{R}{100})^T\)
Usually these two rates are used on money. The compound interest is exponential as it has power T as a variable, but for simple interest, there is no variable exponent.
Both are positive, and growth of exponential function is always going to surpass the growth of linear function (can be proven by derivatives).
Since we are not given the function's equation, we cannot correctly calculate the value just from graph, but as in 14 years, the blue line is already close to red line so it will likely cross it after 6 more years (thus total 20 years) because of good growth.
Thus, the person who will have more money by year 20 is given by: Option C: Tyler, because his money is increasing exponentially
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PLEASE ANSWER!! Solve for angle Z using the Sine Law. Round to the nearest degree.
Answer:
Z = 51º
Step-by-step explanation:
sinZ/12.5 = sin76/15.5
multiply both sides by 12.5
sinZ = sin76/15.5 * 12.5
Use calculator
sinZ = 0.782496553448384
Z = arcsin 0.782496553448384
Use calculator again
Z = 51.48972926377471º
Rounded
Z = 51º
Which is the solution to the equation 0.5 x + 4.2 = 5.9? Round to the nearest tenth if necessary. 0.9 3.4 5.1 20.2
Answer:
x = 3.4
Step-by-step explanation:
Step 1: Isolate x
0.5x = 1.7
Step 2: Divide both sides by 0.5
x = 3.4
And we have our final answer!
Answer: x=3.4
Step-by-step explanation:
\(0.5x+4.2=5.9\)
multiply both sides by 10
\(5x+42=59\)
subtract 42 on both sides
\(5x=17\)
divide 5 on both sides
\(x=\frac{17}{5}\) or
Simplify
x= 3.4
f(x) = (x + 2)(x + 2)
\(\displaystyle f(x) = (x + 2)(x + 2)\)
\(\displaystyle f(x) = (x + 2)^2\)
Answer:
\(f(x) = {(x + 2)}^{2} \)
Step-by-step explanation:
\(f(x) = (x + 2)(x + 2) \\ f(x) = {(x + 2)}^{2} \)
hope this helps you.
Mulcare Corp. started a compliance program to prevent and detect criminal conductwithin the company and had specific, high-level officers in charge of overseeing theprogram. The company €ffectively communicated the program to ifs employees andmonitored those employees who were in a position to cheat: It promptly disciplinedanyone who broke the law, One effect of having this program is:- any cases would be prosecuted in state, rather than foderal, court.- the Federal Sentencing Guidelines no longer abply.- federal investigators would no longer investigate the company, since Mulcare could take care of any problems internally- federal investigators might be convinced to limit any prosecution to those directly involved rather than attempting to get a conviction against high-ranking officer or against the company itself
One result of having this program is that federal investigators may be persuaded to restrict any prosecution to people directly implicated rather than trying to secure a conviction against senior managers or the firm itself.
Federal investigators are employed by the federal government and look into crimes and other acts that might endanger public safety or the general welfare. They may look into everything from tax fraud to terrorism, but they all share the same goal: keeping our nation safe and secure.
Campaigning on the basis of a politician's core beliefs rather than aiming to represent an established consensus or merely adopting policies that are popular in polls is known as conviction politics.
Politicians on the right, like Margaret Thatcher, have embraced the phrase "I do not support political consensus. I am a politician with conviction "a few months before she was elected prime minister in 1979.
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Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00. Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get 4 dollars and 60 cents + 4 dollars and 60 cents = 9 dollars and 20 cents for the 15% gratuity.” How should Antoine respond to Tess’s method?Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00. Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get 4 dollars and 60 cents + 4 dollars and 60 cents = 9 dollars and 20 cents for the 15% gratuity.” How should Antoine respond to Tess’s method?
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
edge 2021
A computer training institute has 625 students that are paying a course fee of $400. Their research shows that for every $20 reduction in the fee, they will attract another 50 students. Which equation could be used to represent this situation, where x is the course fee and R(x) is the total revenue?
R(x) = −2.5x2 + 1625x
R(x) = −3x2 + 1650x
R(x) = 3x2 − 1650x
R(x) = 2.5x2 − 1625x
The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²
What is an Equations?Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
N(x) = 625 + 2.5x
The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:
R(x) = (625 + 2.5x)(400 - x)
Simplifying the expression, we get:
R(x) = 250000 + 375x - 2.5x²
Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:
R(x) = 250000 + 375x - 2.5x²
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1) Determine the appropriate level for the given variable (Nominal, Ordinal, Interval, Ratio).
a) Temperatures of passengers taken before boarding a flight
b) Rankings on a grading rubric (Mastery, Satisfactory, Unsatisfactory)
c) Number of units each COS student is taking this semester
d) Ice cream flavors
The variables and their levels of measurements are:
Interval: Temperatures of passengers taken before boarding a flightOrdinal: Rankings on a grading rubric (Mastery, Satisfactory, Unsatisfactory)Ratio: Number of units each COS student is taking this semesterNominal: Ice cream flavorsHow to determine the level of the variablesThere are four levels of variables
NominalOrdinalIntervalRatioThe nominal level of variable is a named variable, and they do not have any order.
So, the ice cream flavors can be categorized as a nominal variable because there can be as many flavors as possible
The ordinal level is used for rankings
So, rankings on a grading rubric can be categorized as an ordinal variable
The interval level is used for range
So, the temperature of passengers can be categorized as an interval variable
Lastly, the number of units is a ratio variable because it can take absolute zero as its value
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Which of the following statements are true and which are false? Give reasons for your answers.(i) Only one line can pass through a single point.(ii) There are an infinite number of lines which pass through two distinct points.(iii) A line can be produced indefinitely on both sides.(iv) If two circles are equal, then their radii are equal.(v) if AB=PQ and PQ=XY, then AB=XY.
Complete Question
Which of the following statements are true and which are false? Give reasons for your answers.
(i) Only one line can pass through a single point.
(ii) There are an infinite number of lines which pass through two distinct points.
(iii) A line can be produced indefinitely on both sides.
(iv) If two circles are equal, then their radii are equal.
(v) if AB=PQ and PQ=XY, then AB=XY.
A (i),(ii) - True
(iii),(iv),(v)-False
B(i),(ii),(iii) -True
(iv),(v)-False
C (i),(ii) -False
(iii),(iv),(v)-True
D (i),(ii),(iii) -False
(iv),(v)-True
Answer:
The correct option is C
Step-by-step explanation:
i is false because several lines can pass through a single point
ii is false because only one line can pass through two distinct points
iii is true because you can extend a line from both points (start and end points )
iv is true because when two equal circle are placed together and radius is trace we will discover that they are equal
v is true because from Euclid's First Axiom , if a= c and c = d the a = d