Answer:
Not similar
Step-by-step explanation:
Answer:
SAS
Step-by-step explanation:
Eliminate the choices.
Not SSS, as you are only given 2 out of 3 side lengths, and you need an angle measure to find the third length
Not AA, since we cant be sure
But seeing as there is one angle that corresponds for both triangles and are in-between two sides, it would be SAS (its not good to pressume, but thats all you can do )
can anyone tell me what points I plot these two at ? ty
Answer:
Both graphs in 2 separate attachments--placed in order
Hope it helps.
Hello ~
My name is Sxnnysoul, and I will be answering your question today! :D
Let's solve for x ~
⇢ \(\sf{x^2 \: + \: y^2 \: = \: 4}\)
⇢ \(\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}\)
⇢ \(\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 4 \: + \: -y^2}\)
⇢ \(\sf{x^2 \: + \: -y^2 \: + \: 4}\)
⇢ \(\sf{Step \: 2: \: Take \: square \: root.}\)
⇢ \(\sf{x \: = \sqrt{-y^2 \: + \: 4} \: or \: = - \sqrt{-y^2 \: + \: 4}\)
P.S here's the graph that might help you!
Let's solve of x ~
⇢ \(\sf{x^2 \: + \: y^2 \: = \: 32}\)
⇢ \(\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}\)
⇢ \(\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 32 \: + \: -y^2}\)
⇢ \(\sf{x^2 \: + \: -y^2 \: + \: 32}\)
⇢ \(\sf{Step \: 2: \: Take \: square \: root.}\)
⇢ \(\sf{x \: = \sqrt{-y^2 \: + \: 32} \: or \: x \: = - \sqrt{-y^2 \: + \: 32}\)
P.S here's the second image of the graph. so, you won't get confused.
Hope It Helps! ~
~ Learn With Sxnnysoul ~
\(\underline{Answer :}\)
ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ
the kappa iota sigma fraternity polled its members on the weekend party theme. the vote was as follows: six for toga, four for hayride, eight for beer bash, and two for masquerade. display the vote count in a pareto chart.
Pareto chart is a type of bar graph which often displays the data in descending order of frequency.
It is made up of vertical bars, with the height of each bar representing the frequency of occurrence for each category. The chart is named after Vilfredo Pareto, who used it to analyze economic data in the late 19th century.
For the given data, we calculate the cumulative frequency of the data by adding the frequencies of each category.
Toga: 6
Hayride: 6 + 4 = 10
Beer Bash: 10 + 8 = 18
Masquerade: 18 + 2 = 20
The Pareto chart is created by plotting the cumulative frequency against the categories. The chart is plotted with the categories on the x-axis and the cumulative frequency on the y-axis.
Toga: 6 (30%)
Hayride: 10 (50%)
Beer Bash: 18 (90%)
Masquerade: 20 (100%)
Hence, the Pareto chart for the given data is as follows:
Toga: 30%
Hayride: 20%
Beer Bash: 40%
Masquerade: 10%
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Evaluate the following expression: 5(1,3)-3(2,-1)
Answer:
(-1,18)
Step-by-step explanation:
just took the test besties
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression 5(1,3)-3(2,-1) when simplified is equal to (-1, 18).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The given expression can be simplified as shown below.
5(1,3) - 3(2,-1)
= (5, 15) - (6, -3)
= [5 - 6, 15 - (-3)]
= (5 - 6, 15 + 3)
= (-1, 18)
Hence, the value of the given expression 5(1,3)-3(2,-1) when simplified is equal to (-1, 18).
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7x2 + 4x - x2 whats the answer?!?
Answer:
14 + 2x I think
Step-by-step explanation:
Wait for more responses if needed
Answer:
\( {6x}^{2} + 4x\)
Step-by-step explanation:
1) Collect like terms.
\((7 {x}^{2} - {x}^{2} ) + 4x\)
2) Simplify.
\( {6x}^{2} + 4x\)
Therefor, the answer is 6x² + 4x.
Make x the subject of the formula r=√x²+y²
Answer:
Step-by-step explanation:
Every morning for the past 12 days, Beth used Two-thirds of a cup of milk on her cereal. To determine how much milk she used in total, she set up the equation, Two-thirds times 12 = question mark ?. What is the total amount of milk that Beth used?
Answer:8 cups
Step-by-step explanation:2/3 × 12 = 8 or 2 × 12 = 24
24 ÷ 3 = 8
Answer:
8
Step-by-step explanation:
just did the test
The plot below shows the amount of time Mira spent on
5
55 math problems.
All measurements are rounded to the nearest
1
4
4
1
start fraction, 1, divided by, 4, end fraction minute.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten. An unlabeled tick mark appears between each labeled tick mark. Dots are plotted as follows: 2 dots above the unlabeled tick mark between eight and eight and a half and 3 dots above nine and a half.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten.
If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?
If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.
In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.
Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:
The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.
There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.
There are 3 dots above the 9.5 minutes per problem tick mark.
Now, let's calculate the total time Mira spent:
(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.
Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.
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HELP ME PLEASE!!!!!!
ZEARN!!!!
The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15
How to rewrite the expression using fifteenthsFrom the question, we have the following parameters that can be used in our computation:
1 2/5 + 2 2/3
3 + 2/5 + 2/3
To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number
In this case, we use 3 and 5
So, we have
3 + 2/5 * 3/3 + 2/3 * 5/5
Evaluate the products
3 + 6/15 + 10/15
Hence, the expression using fifteenths is 3 + 6/15 + 10/15
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−6x+14<−28 AND 3x+28≤25
Answer: -1≥ x > 7 or x>7 and x ≤ -1
Step-by-step explanation:
-6x + 14 < -28
-14 -14
-6x < -42
x> 7
AND
3x + 28 ≤ 25
-28 -28
3x ≤ -3
x ≤ -1
x>7 and x≤ -1
Answer
x>7 and x<-1
Step-by-step explanation:
1a.) -6x+14<-28
2a.) subtract 14 from 14 and -28 (what you do to one you do to other)
3a.) you are left with -6x<-42
4a.) divide by -6 eache side of "<"
5a.) you HAVE to flip the sign when you divide by a negative
6a.) x>7
1b.) 3x+28<25
2b.) subtract 28 from 28 and 25 (what you do to one you do to other)
3b.) 3x<-3
4b.) divide both sides by 3
5b.) x<-1
Which pair of these numbers has 20 as a common factor?
2 and 3
2 and 6
20 and 40
Answer:
20 and 40
Step-by-step explanation:
3x7 is 21 but thats only one too much it has to be 3 too much to go down one and be a factor
6x4 is 24 it has to be 6 too much to go down one to be a factor
20x1 and 40x1/2 are both factors unless your teacher doesn't include fractions, so just choose this for now and if you get it wrong ask your teacher because three and six arent
If AX:XB as AB:AC, find missing length
AX = 5, CB = 4, AC =6, find AB
Answer:
AB = 15 ÷ 2
Step-by-step explanation:
The computation of the AB is shown below;
Given that
AX : XB as AB : AC
AX = 5
XB = 4
AC = 6
AB = x
Based on the above information
We can write as
5 : 4 as to x : 6
ratios can be written as fractions
5 ÷ 4 = x ÷ 6
(4)(x) = (5)(6)
4x = 30
x = 30 ÷ 4
x = 15 ÷ 2
Hence, the AB = 15 ÷ 2
-10-7. A total of 14 people visit a website on the day it launches. The number of visitors doubles every dayfor the next 7 days. (5 points)a. Write the function, f(x), that represents the number of visitors x days after the website launches.Hint: There are 14 visitors when x = 0 days. (2 points)b. How many visitors are there 7 days after the website launches? Show your work. (2 points forthe correct answer with work shown)c. Would you expect this growth to continue forever? Why or why not? (1 point)
Given:
The total number of people = 14 students.
The number of visits doubles every day for the next 7 days.
Required:
We need to find the function of the given situation.
Explanation:
Let x be the number of days.
The function f(x)
What is the area of a triangle with base 24cm height 16cm and show the workings
Answer:
The triangle has an area of 192cm^2
Step-by-step explanation:
Given;
the formula to find the area of the triangle,
\(A=\frac{h_{b}b }{2}\)
We can insert the values,
\(A=\frac{24*16}{2} \\\\\\A=\frac{384}{2} \\\\A=192cm^2\)
The area of the triangle is 192cm^2.
What is the measure of ZL?
Enter your answer in the box. Round only your final answer to
the nearest hundredth.
m/L=
18 in.
М'
60 in.
N
Angle L's in the triangle LMN is,
⇒ L = 72.54°
We have to given that;
A triangle LMN is shown in figure.
And, The sides are,
Since, We know that;
A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.
Since, We know that;
⇒ sin L = Opposite / Hypotenuse
And, cos L = Base / Hypotenuse
Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.
Now, We can use trigonometry formula to find the value of angle l we get;
⇒ sin L = Opposite / Hypotenuse
⇒ sin L = LM / LN
⇒ sin L = 18/60
Taking arc sin both side, we get;
⇒ L = 72.54°
Therefore, The value of measure of angle L is triangle LMN is,
⇒ L = 72.54°
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Check all that apply.
x² - 4=0
A. X = -4
U
B. X = 2
DC. X = -2
]
D. X = -1
O E. x = 4
O F. X = 1
A
Answer:
x=2 (option B)
Explanation
x²-4=0
x²=4
x=2
13-3i=-8 what does i equal
Answer:
i = 7
Step-by-step explanation:
13 - 3i = -8 -> -3i = -21 -> i = 7
Answer:
i = 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
13 - 3i = -8
Step 2: Solve for i
[Subtraction Property of Equality] Subtract 13 on both sides: -3i = -21[Division Property of Equality] Divide -3 on both sides: i = 7Step 3: Check
Plug in i into the original equation to verify it's a solution.
Substitute in i: 13 - 3(7) = -8Multiply: 13 - 21 = -8Subtract: -8 = -8Here we see that -8 does indeed equal -8.
∴ i = 7 is the solution to the equation.
A farmer collected the eggs from his hens in the morning and sorted them into cartons. Each carton holds 12 eggs. After filling 4 cartons, the farmer had 11 eggs left. How many eggs did the farmer initially collect?
Answer:
The farmer initially collected about 59 eggs.
Step-by-step explanation:
Carton can hold 12 eggs
4 cartons had been filled, meaning:
4 × 12 = 48 eggs were in the cartons
Additionally, the farmer had 11 eggs left:
48 + 11 = 59 eggs
Please see my question in the attachment, thanks
As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.
What is a vertical asymptote?In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).
By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.
In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;
As x → -1⁻, f(x) → ∞.
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simplify √([2m5z6]/[ xy])
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
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problem 3: global destination in this problem: use the algorithms from class, such as dfs, bfs, dijkstras, connected components, etc., as a black-box subroutine for your algorithm; see the instructions on the front page. make sure to explain your algorithm in words. let g
DFS can be used because the graph is directed and all of the edge weights are positive.
What is Algorithms?
An algorithm is a process used to carry out a computation or solve a problem. In either hardware-based or software-based routines, algorithms function as a detailed sequence of instructions that carry out predetermined operations sequentially. All aspects of IT employ algorithms extensively.
Steps can be taken. There may be a path from v to z* but not from z* to v or different from each with different weights, so we just need to apply DFS, dijkstras twice, starting with vertex v, to find the path length until z*. Then we need to add the path weights.
The problem is clear in that we need to find path weight from v to z* and z* to v. There may be more than one path that leads from v to z*, thus we must locate them all and store some of them because each loop will require a time complexity of O(V+E).
where, in the given graph, E stands for edges and V for vertex. When a graph is complete, meaning there is a path connecting every vertex to every other vertex, we must execute this technique V times to determine the total number of paths. As a result, the time complexity is O(V(V+E)).
Then we must repeat the process from z* to v, but this time we must choose every path whose weights satisfy the specified condition. In the worst case, we must repeat this process (V-1) times, thus the time complexity will be the same as before. As a result, our time complexity will be O(V(V+E)) overall.
Since the graph is directed and every edge weight is positive, DFS may be used.
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a) angle of line of From a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three figure bearings? A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point. (b) How far is the boy now from the start- ing point? A boy runs 200 m on a bearing of 230°.
a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$
\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}
100 sin 35° = 80 sin 55°=57.73 mT
herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.
Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.
To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.
Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.
Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.
To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.
(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus
:$$c^2 = a^2 + b^2$$
where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$
c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$
Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.
Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$
Therefore, the bearing of the boy's current position from the starting point is N51°E.
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A private jet can fly 2145 miles in three hours with a tailwind, but only 1809 miles in three hours with a headwind.
The speed of the private jet is 659 miles per hour.
SpeedSpeed is the ratio of distance travelled to total time taken. It is given by:
Speed = distance / time
Let a represent the speed of the jet and b represent the speed of the wind. The private jet can fly 2145 miles in three hours with a tailwind, hence:
(a + b)3 = 2145
a + b = 715 (1)
It can travel 1809 miles in three hours with a headwind, hence:
(a - b)3 = 1809
a - b = 603 (2)
From equation 1 and 2:
a = 659, b = 56
The speed of the private jet is 659 miles per hour.
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Can you please help me with this I will give you a Brainly list and it’s so hard
Answer:
-4-5
Step-by-step explanation:
The temp was at -4 and if it dropped that means you subtract another 5 from it which is -4-5
Answer:
The correct answer is -4 - 5.
Step-by-step explanation:
The original temperature is -4 degrees. Then, the temperature falls by 5 degrees. The temperature "falling" means that it is getting colder or that the temperature is getting lower. This lets us know that we need to use subtraction. The final answer is -4 - 5, which would give us the temperature of -9 degrees as the new temperature.
Hope this helps!
Find the area of the figure. (Sides meet at right angles.) pls help i suck at math if you help me i can help with English or something like that thx
Answer:
44^2
Explanation:
Area of bottom square: 2 x 4 = 8
Area of top square: 9 x (6 - 2) = 36
After you find the area of each individual rectangle, you are going to want to combine the two areas and you should end up with an answer of 44.
If sin x=0.2, write down the values for sin (pi-x)
If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.
Given that,
the value of sin x = 0.2
We have to find the value of sin(π - x).
We know the trigonometric rule that,
sin(π - x) = sin (x)
for any value of x.
So here whatever the value of x, the value of sin(π - x) is sin (x) itself.
So here sin x = 0.2.
So, by the rule,
sin(π - x) = sin (x) = 0.2
Hence the value is 0.2.
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rewrite each equation without absolute value for the given conditions.
y=|x−3|+|x+2|−|x−5|, if x>5
y=|x−3|+|x+2|−|x−5|, if x<-2
Answer:
y = 2x - 6, if x > 5
y = -4x + 16, if x < -2
Step-by-step explanation:
When x > 5, the expressions inside the absolute value bars are all positive, so the equation can be rewritten as:
y = (x - 3) + (x + 2) - (x - 5)
y = 2x - 6
When x < -2, the expressions inside the absolute value bars are all negative, so the equation can be rewritten as:
y = -(x - 3) - (x + 2) - -(x - 5)
y = -2x + 6 - 2(x - 5)
y = -4x + 16
-3a
= 51234
-
Solve:
O
a=-8
a=0
a = 8
0
no solution
Answer:
The second option, a = 0 is correct.
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 380 minutes, the monthly cost will be $173. If the customer uses 570 minutes, the monthly cost will be $249.
A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly cost of the Splint plan.
Answer:
y
=
B) Use your equation to find the total monthly cost if 942 minutes are used.
Answer: If 942 minutes are used, the total cost will be
dollars.
The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
What is an equation?The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.
Part A:
Given:
customer uses 380 minutes, the monthly cost will be $173.customer uses 570 minutes, the monthly cost will be $249.To find an equation,
Where x is number of monthly minutes.
and y is total monthly of splint plan.
So, equation is:
\(\rightarrow \text{y} =\text{mx} +\text{b}\)
For the first case:
\(\rightarrow\bold{173 = 380x + b}\)
Second case:
\(\rightarrow\bold{249= 570x + b}\)
Solve for x:
\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)
\(\rightarrow{-207=-321\)
\(\rightarrow \text{x} =\dfrac{321}{207}\)
\(\rightarrow \text{x} =\dfrac{107}{69}\)
\(\rightarrow \text{x} \thickapprox1.55\)
For value of b
\(\rightarrow 173 = 380(1.55) + \text{b}\)
\(\rightarrow 173 - 589 = \text{b}\)
\(\rightarrow -416 = \text{b}\)
Part B:
\(\rightarrow \text{y} = 942(1.55) - 416\)
\(\rightarrow \text{y} = 1460.1 - 416\)
\(\rightarrow \text{y} \thickapprox1044\)
Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
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Drag the values to the correct locations on the image. Not all values will be used. Function is a logarithmic function with a vertical asymptote at x = 0 and an x-intercept at (4,0). The function is decreasing over the interval (0,[infinity]) Function g is represented by the equation g(x) = log2 (x + 3) - 2 Over which interval are both functions positive?
2 -[infinity] 4 1 0 [infinity]
( , )
The interval where both functions f(x) and g(x) are positive is (1, 4).
To find the interval where both functions are positive, we need to consider the domain of each function separately.
Function f is a logarithmic function with a vertical asymptote at x = 0 and an x-intercept at (4,0). Since the function is decreasing over the interval (0, [infinity]), we know that f(x) is positive for x < 4 and f(x) is negative for x > 4. Therefore, the interval where f(x) is positive is (0, 4).
Function g(x) = log2 (x + 3) - 2. Since the base of the logarithmic function is 2, we know that the domain of g(x) is x > -3. To find where g(x) is positive, we need to solve the inequality:
log2 (x + 3) - 2 > 0
log2 (x + 3) > 2
x + 3 > 2^2
x > 1
Therefore, the interval where g(x) is positive is (1, [infinity]).
To find the interval where both functions are positive, we need to find the intersection of the intervals (0, 4) and (1, [infinity]). The intersection of these intervals is (1, 4). Therefore, both functions are positive over the interval (1, 4).
In summary, the interval where both functions f(x) and g(x) are positive is (1, 4).
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a picture frame has a width of 15 inches and an area of 262.50 square inches what is the length of the picture frame
Answer:
17.5
Step-by-step explanation:
The area is l times h so dividing the area by l gives height
262.5/15 is 17.5
Answer:
17.5
Step-by-step explanation: