Answer:
Step-by-step explanation:
f(x) = (-2)^x
x = 3 from the left
f(3) = (-2) ^3
f(3) = (-2) * (-2) * (-2)
f(3) = - 8
You have to realize that you are working with an exponential equation (that is x is a power, not a variable. A variable equation would be written as y = 3x
what expression is equivalent to 1.2y+4.5-3.4y-6.3
Step-by-step explanation:
The answer is -2.2y-1.8
The equivalent expression is -2.2y-1.8
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given expression:
1.2y+4.5-3.4y-6.3
To find the equivalent expression:
Simplifying,
= 1.2y - 3.4y + 4.5 - 6.3
= -2.2y-1.8
The above expression is an equivalent expression.
Therefore, -2.2y-1.8 is the equivalent expression.
To learn more about the equivalent expression;
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Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the
same rate for the cost of one hot dog, how many more hot dogs would Winston need
to sell to earn a total of $175.00?
Answer:
14 hotdogs
Step-by-step explanation:
Each hotdog is $2.50. Subtract $140 from $175 giving you $25 left to earn. You then take 25 and divide by the unit rate(cost of one hotdog) and you should get 14 more hotdogs need sold to reach $175.
may you please answer this question
Answer:
Step-by-step explanation:
Vertically opposite angles are congruent.
∠A = ∠C
∠A + ∠C = 254
∠A + ∠A = 254
2∠A = 254
∠A = 254/2
∠A = 127
Linear Pair: In two adjacent angles, if the non common arms are opposite rays, then they are called linear and they add up to 180
∠A + ∠B = 180 {linear pair}
127 + ∠B = 180
∠B = 180- 127
∠B = 53°
Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support your answer
Answer
x=2 and y=2√2
Step-by-step explanation:
[tex] \sin( \alpha ) = \frac{2 \sqrt{2} }{x } \\ x = \frac{2 \sqrt{2} }{ \sin(45) } \\ x = 4 \\ {x}^{2} = {y}^{2} + 2 \sqrt{2} \\ {4}^{2} = {y}^{2} + (2 \sqrt{2 \: )}^{2} \\ 16 = {y}^{2} + 8 \\ 16 - 8 = {y}^{2} \\ y = \sqrt{8} \\ y = 2 \sqrt{2} [/tex]
Huuuurrrryyy Pllllzzzzz!!!!?!???!!
A garden measuring 8 feet by 12 feet will have a walkway around it. The walkway
has a uniform width, and the area covered by the garden and the walkway is
192 square feet. What is the width of the walkway?
A. 2 feet
B. 3. 5 feet
C. 4 feet
D. 6 feet
By solving a quadratic equation, we will see that the width of the walkway is 3ft.
How to get the width of the walkway?Remember that for a rectangle of length L and width W, the area is:
A = W*L
Now, we know that for our garden we have:
W = 8ft
L = 12ft
If we add a walkway of width x around the garden, then the new measures are:
W' = 8ft + 2x
L' = 12ft + 2x
So the area is:
A' = ( 8ft + 2x)*( 12ft + 2x)
And we know that it is equal to 192 ft^2, then:
192 ft^2 = ( 8ft + 2x)*( 12ft + 2x)
Now we can solve this for x.
192ft^2 = 96ft^2 + 4x^2 + 20ft*x
0 = 96ft^2 - 192ft^2 + 20ft*x + 4x^2
0 = -96ft^2 + 20ft*x + 4x^2
This is a quadratic equation, and the solutions are given by the Bhaskara's formula:
[tex]x = \frac{-20ft \pm \sqrt{(20ft)^2 - 4*4*(-96ft^2)} }{2*4} \\\\x = \frac{-20ft \pm 44ft}{8}[/tex]
We only take the positive solution, so we get:
x = (-20ft + 44ft)/8 = 3ft
So the width of the walkway is 3ft.
If you want to learn more about quadratic equations, you can read:
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A car can travel 294 kilometers on 21 liters of gasoline. How much gasoline will it need to go 42 kilometers?
Answer:
7
Step-by-step explanation:
Which number sentence is true?
A. 30.678 > 31.112
B. 81.001 > 80.999
C. 24.510 = 24.5
D. 72.49 < 72.469
Answer:
B
Step-by-step explanation:
31.112 is actually greater than 30.678 because 31 is a greater number than 30. so the statement stated is false.
24.510 is greater than 24.5 because if you add 2 zeros to 24.5, it would be 24.500(adding zeros after decimal point doesnt change the value). 24.500 is less than 24.510. the numbers are not equal.
72.49 is greater than 72.469 because if you add a zero to 72.49, it will be 72.490. 72.490 is greater than 72.469.
Basically only B is true because 81 is greater than 80.
a student claims y=1 is not a linear equation because it does have the form y=mx+b. Do you agree or disagree explain why
The student is wrong because y = 1 represent lienar equation of a horizontal line. Disagree.
What is Linear Equation in Slope-intercept Form?Equation of a line in slope-intercept form, is y = mx + b, where m is the slope and b is the y-intercept of the linear graph.
Where m (slope) = 0, the linear equation would be, y = b, which suggest that the line is horizontal, and intersects the y-axis at point b.
Therefore, the student is wrong because y = 1 represent lienar equation of a horizontal line. Disagree.
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For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3? three-sevenths seven-thirds 10 21
The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k can be written as,
[tex]xy=k\\\\(7) \times (3 ) =k\\\\k= 21[/tex]
Hence, the value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.
Learn more about Equation:
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Answer:
D
Step-by-step explanation:
K=21
56. A track coach recorded all runners' times for the 200-meter dash and
wants to summarize the results.
Select the box in each row with the term that completes the
statement. Not all terms will be used.
Mean Median
Interquartile
Range
Range
The coach can use the_to
o
summarize the runners' times.
The coach can use the to
indicate how close all runners'
times were to each other.
Considering that outliers will be disconsidered, the correct statement is:
The coach can use the Interquartile Range to summarize the runners' times.
What is the Interquartile Range(IQR) of a data-set?It is the values of a data-set that are between the 25th percentile and the 75th percentile, that is, the middle 50% of the values. It's advantage in certain situation is that it disconsiders outliers.
In this problem, the best way to summarize the times is disconsidering outliers, hence the Interquartile Range is used, as it indicates how close all runners' times were to each other.
More can be lerned about the Interquartile Range at https://brainly.com/question/17083142
pls help this is due in a bit
Answer:
multiply base area by 2 , and add the base perimiter and height
Step-by-step explanation:
hope this helped
The price of an item yesterday was 105. Today, the price rose to 147 find the percentage increase
Answer:
40%
Step-by-step explanation:
147 - 105 = 42
42/105 = .4
.4 × 100 = 40%
A store pays $50 for a pair of shoes. The markup is 25%
Answer:
Are you asking for the selling price? If yes the answer should be $50 x (1+25%) = $62.5
What is b if a=2x and c= 8x on a right triangle
B is 5.625
A=2x
C=8x
5.625x2(x)*8(x)=90
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Please I Need Help 20pts
To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $9.80 per hour. The math club wants to spend at most $117.40 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
0 < t ≤ 8 (in hours)
Up to (and including) 8 hours
Step-by-step explanation:
Let t = number of hours the room is rented
Given:
Reservation fee = $39Fee per hour = $9.80Maximum total cost = $117.40Create an equation using the given information and solve for t:
⇒ 39 + 9.8t ≤ 117.4
Subtract 39 from both sides:
⇒ 9.8t ≤ 78.4
Divide both sides by 9.8
⇒ t ≤ 8
Therefore, the possible amounts of time for which they could rent the meeting room is 0 < t ≤ 8 (in hours)
Answer:
8 is the very maximum number of hours the room can be rented. As long as 8 is not exceeded, the room is rentable for what money the math club has.
Step-by-step explanation:
Givens
Maximum payment = 117.40Cost per hour = 9.80Fixed charge = 39 dollarsFormula
payment ≥ 39 + 9.80*t where t is in hours.
Solution
117.40 ≥ 39 + 9.80*t Subtract 39 from both sides.
117.40 - 39 ≥9.80*t
78.40 ≥ 9.80*t Divide by 9.8
78.40/9.80 ≥ 9.80*t/9.80
8 ≥ t
Answer t≥ 8
Do number 6 pleaseeee
Answer:
145%
Step-by-step explanation:
140+63 = 203
203/160 = 1.45
1.45x100 = 145%
I’m not quite sure what the answers are, I have tired this problem a variety of times and still get it wrong.
Check the picture below, keeping in mind that opposides sides and interior angles in a parallelogram are congruent.
What is the equation of a line that crosses the x-axis at 36 and is perpendicular to the line y=-4/9+5
Answer:
Step-by-step explanation:
Given, line equation is
We have to find the line equation which is perpendicular to the given line in slope intercept form.
Now, let us find the slope of the given line.ven line is in slope intercept form,
y = mx + c where m is slope and c is intercept.
So, by comparison, slope of given line is
Now, we know that product of slopes of perpendicular lines = -1
SLope of that perpendicular line And we are also given that, perpendicular line passes x aixs at 36. Which means that intercept of x – axis is 36.
Need help ASAP Please
Answer:94.5
Step-by-step explanation:First you have to multiply 3.5x4.5 and the multiply that by 2 which gives you 31.5. Then you multiply 9x3.5 and then you also multiply that by 2 which gives you 63 and then you add 31.5 and 63 which would give you 94.5.
Umberto bought a car for 28,000 the car is depreciating ata rate of 9% per year what wil be the approximent value of the car after 5 years
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &28000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &5\\ \end{cases} \\\\\\ A=28000(1 - 0.09)^{5}\implies A=28000(0.91)^5\implies A\approx 17472.90[/tex]
What is 3^2, 5^3, and 9^2? I need some test help.
Answer:
3^2=9 5^3=125 9^2=81
Step-by-step explanation:
exponent is just multiplying the base by itself however we many times the exponent's (the small number on the top right of the base) value is
base-->5^3<--exponent
3^2=3×3=9
5^3=5×5×5=125
9^2=9×9=81
example
6^4=6×6×6×6=1296
Need help
read the question first
Answer:
A. horizontal velocity is constant at 25 m/s in every interval
B. downward velocity increases by 9.8 m/s each second, to 19.6 m/s, 29.4 m/s, 39.2 m/s, 49.0 m/s
Step-by-step explanation:
A.Since the ball is not rocket-powered, it has no acceleration in the horizontal direction. (We ignore slowing due to air friction.) The horizontal velocity remains constant at 25 m/s.
__
B.The vertical acceleration is given as 9.8 m/s² in the downward direction. That is, each second the ball is in motion, its velocity downward increases by 9.8 m/s. The table can be filled with ...
t = 2 s, v = -19.6 m/s
t = 3 s, v = -29.4 m/s
t = 4 s, v = -39.2 m/s
t = 5 s, v = -49.0 m/s
__
The sign is negative because the direction is downward. Positive is up.
0.21 Divided by 7 I would like to know how to solve the equation
Answer:
0.03
Step-by-step explanation:
[tex] \frac{0.21}{7} [/tex]
==>
[tex] \frac{0.21 \times 100}{7 \times 100} [/tex]
===>
[tex] \frac{21}{7} \times \frac{1}{100} [/tex]
==>
[tex]3 \times \frac{1}{100} [/tex]
==>
[tex] \frac{3}{100} [/tex]
==>
[tex]0.03[/tex]
Pls Pls help!! It's due soon!!
Answer:
-2,4
Step-by-step explanation:
to do a reflection across the y axis, apply -x,y to your coordinates
please help me with this
Thanks~
Answer:
(-6,8)
Step-by-step explanation:
The base area of a cylinder is 200.96m2
and the volume is 1205.76 in3
. what is the height of the cylinder?
Answer:
Step-by-step explanation:
Volume of cylinder = base area * height
height of the cylinder = Volume of the cylinder ÷ base area
= 1205.76 ÷ 200.96
= 6 in
What is Arrhenius's definition of an acid?
O a substance that dissociates in water to produce hydroxide ions (OH)
O a substance that dissociates.in water to produce hydrogen ions (H+).
o
any substance that can donate hydrogen ions (H+)
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
Arrhenius theory of an acid: This theory was discovered by Sir Svante Arrhenius in 1887. According to this theory acids are hydrogen containing compounds, when dissolves in water it gives (H+) ions.
[tex]\large{\underline{\underline{\pmb{\sf{\color {red}{Question:}}}}}}[/tex]
[tex] \sf \red{What \: is \: Arrhenius's \: definition \: of \: an \: acid?}[/tex]
[tex] \implies[/tex] (B) substance that dissociates.in water to produce hydrogen ions (H+).So, option (B) is correct.
[tex] \boxed{ \frak \red{happy \: learning}}[/tex]
Plis help me with the blank spaces !!!! They give me those 4 options as well in the second one
The total points earned depends on the number of correct answers.
Hope this helps!
Fill in the missing numbers
Answer:
(x - 4)
Step-by-step explanation:
x² - x - 12
to factor consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 1)
the factors are + 3 and - 4 , since
3 × - 4 = - 12 and + 3 - 4 = - 1 , then
x² - x - 12 = (x + 3)(x - 4) ← in factored form
help me I need to make sure I got the correct answer.
Answer:
I dont know pls ask you parents...
Step-by-step explanation:
I dont know