YOUR TURN
Find the length and width of the actual room, shown in
the scale drawing. Then find the area of the actual room.
Round your answer to the nearest tenth.
Answer:
[tex]Width: \frac{3in}{8ft} = \frac{5in}{x} (cross multiply)[/tex]
= [tex]40[/tex] ÷3 ≈ 13.3ft
[tex]Width: \frac {3in}{8ft} = \frac{6.5in}{x}[/tex]
= 17.3
[tex]A=e[/tex] × [tex]w[/tex]
[tex]= 13.3[/tex] × [tex]17.3[/tex] ≈ [tex]230.09[/tex] ≈ [tex]230.1[/tex]
The graph below shows a transformation of y
- 2x
Write the equation for the graph in the comment
Answer:
[tex]y=-2^{(x+2)}+1[/tex]
Step-by-step explanation:
Equation of the parent function of the graph attached is,
y = [tex]2^{x}[/tex]
Let the equation of the transformed function function shown in the graph be,
y = a(2ˣ) + b
Now we will find the values of a and b by substituting the points lying on the curve.
For (-2, 0),
0 = a(2⁻²) + b
[tex]\frac{a}{4}+b=0[/tex] ------(1)
For (0, -3),
-3 = a(2⁰) + b
a + b = -3 --------(2)
Subtract equation (1) from equation (2),
(a + b) - ([tex]\frac{a}{4}+b[/tex]) = 0 + 3
[tex]\frac{3a}{4}=3[/tex]
a = -4
From equation (2),
-4 + b = -3
b = 1
Therefore, equation of the transformed function will be,
[tex]y=-4(2^x)+1[/tex]
[tex]y=-2^{2}(2^x)+1[/tex]
[tex]y=-2^{(x+2)}+1[/tex]
Graph transformation is the process by which an existing graph is modified to produce a variation of the proceeding graph.
Equation of transformed graph is, [tex]y=-2^{x+2}+1[/tex]
Here, equation of original graph is given, [tex]y=2^{x}[/tex]
Let us consider, equation of transformed graph is, [tex]y=m(2^{x} )+n[/tex]
Since, given graph passing through points (-2,0) and (0,-3)
Substituting above points into equation.
We get two equation,
m +4n = 0
m + n = -3
After solving, we get m= -4 and n = 1
So, equation becomes [tex]y=-2^{x+2}+1[/tex]
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PLEASE HELP I HAVE TO GET THIS DONE
Answer: so the answer is A
Step-by-step explanation: -3/2
if you ever have a question like that again go to Math-way it is every helpful and easy.
El siguiente diagrama indica el número de comidas al día que hace un grupo de quince amigos:
Answer:
?
Step-by-step explanation:
Evelyn bought 8.4 gallons of gas for $23.94. what equation can be used to determine the price of each gallon of gas?
Answer:the equation would be
8.4x=23.94
Step-by-step explanation: I know my math :)
A prince picked a basketful of golden apples in the enchanted orchard. On his way home, he was stopped by a troll who guarded the orchard. The troll demanded payment of one-half of the apples, plus two more. The prince gave him the apples and set off again. A little further on, a second troll guard stopped the prince and demanded payment of one-half of the apples the prince now had, plus two more. The prince paid the troll and set off again. Just before leaving the enchanted orchard, a third troll stopped the prince and demanded one-half of his remaining apples plus two more. The prince paid him and returned home. He had only two golden apples left. How many apples did the prince pick?
How does the problem change if there happened to be 4 trolls Instead Of 3? If the Prince still ends up with two apples, how many did he start with?
Answer:
How many apples did the prince pick?
the prince ended up with 2 apples:
the number of apples he had before meeting the third troll = (2 x 2) + 2 = 6 applesthe number of apples he had before meeting the second troll = (6 x 2) + 2 = 14 applesthe number of apples he had before meeting the first troll = (14 x 2) + 2 = 30 applesthe prince picked 30 golden apples
How does the problem change if there happened to be 4 trolls Instead of 3? If the Prince still ends up with two apples, how many did he start with?
you must add one more troll into the sequence:
the number of apples he had before meeting the fourth troll = (2 x 2) + 2 = 6 applesthe number of apples he had before meeting the third troll = (6 x 2) + 2 = 14 applesthe number of apples he had before meeting the second troll = (14 x 2) + 2 = 30 applesthe number of apples he had before meeting the first troll = (30 x 2) + 2 = 62 applesthe prince picked 62 golden apples
Petrarch believed Christian scholars should _____.
ignore writers of pagan Rome
study writers of pagan Rome
argue against the writers of pagan Rome
discourage people from reading writers of pagan Rome
Answer:
study writers of pagan Rome
Step-by-step explanation:
Petrarch believed Christian scholars should study writers of pagan Rome. Option (b) is correct.
What do you mean by Writer?A writer is someone who writes books, articles, stories, etc., sometimes as a job or a vocation.
Francesco Petrarca, often known as Petrarch, was an Italian philosopher, poet, and one of the first Humanists. He lived from July 20, 1304, to July 19, 1374. The 14th-century Renaissance is frequently regarded with having started as a result of Petrarch's rediscovery of Cicero's letters. Humanism is frequently credited with having its roots in Petrarch. During the Renaissance, Petrarch's sonnets were appreciated, emulated, and used as a template for lyrical poetry all over Europe. Based on Petrarch's writings, Pietro Bembo developed the framework for the modern Italian language in the 16th century.
Therefore, Option (b) is correct. Petrarch believed Christian scholars should study writers of pagan Rome.
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उक्त समयमा बसले कति दुरी पार गर्दछ ? Abusstarts from
rest. If the acceleration of the bus is 0.5m/s, what will be it's
ve ocity at the end of 2 minutes and what distance will it cover
during that time?
Answer:
The magnitude of the velocity will be 60 m/s.
The distance covered is 3,600 m
Step-by-step explanation:
Constant Acceleration Motion
It's known as a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.
If a is the constant acceleration, vo is the initial speed, vf the final speed, and t the time, the following relation applies:
[tex]v_f=v_o+at[/tex]
The distance traveled by the object is calculated as:
[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}[/tex]
The bus starts from rest, i.e. vo=0, the acceleration is a=0.5 m/s^2. The magnitude of the velocity at t=2 minutes = 120 seconds is:
[tex]v_f=0+0.5\cdot 120=60 \ m/s[/tex]
The magnitude of the velocity will be 60 m/s.
The distance covered during that time is:
[tex]\displaystyle x=0+\frac{0.5\cdot 120^2}{2}[/tex]
[tex]\displaystyle x=\frac{7,200}{2}[/tex]
x = 3,600 m
The distance covered is 3,600 m
Which is the sign of the leading coefficient and the least degree of the polynomial function shown?
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Answer:
negative
Step-by-step explanation:
The odd-degree polynomial has end behavior with a negative slope, so its leading coefficient must have a negative sign.
6. Copy and complete this table to show
equivalent values.
Answer:
Step-by-step explanation:
1. Decimal: 0.25 Fraction: 1/4
2. Percent 50% Decimal: .5
3. 15% Fraction: 15/100
Please help me ! Find y
H0: μ1 – μ2 = 0 vs. H1: μ1– μ2 ≠ 0
H0: μ1 – μ2 ≠ 0 vs. H1: μ1– μ2 = 0
multiple choice 1
a
b
(b) Specify the decision rule with respect to the p-value.
Reject the null hypothesis if the p-value is
less than
.10.
(c) Find the test statistic tcalc. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)
tcalc
(d) Assume unequal variances to find the p-value. (Use the quick rule to determine degrees of freedom. Round your answer to 4 decimal places.)
p-value
(e) Make a decision.
We
do not reject
the null hypothesis.
(f) State your conclusion.
We
cannot
conclude that there is a difference between the sizes of homes in the two neighborhoods.
Answer:
hi
Step-by-step explanation:
Which of the following is equal to the opposite of −45?
−|45|
−|−45|
−(−45)
−45
Which of the following statements does not represent the same value as the others?
the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9
All of the following are true statements except _____.
|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93
If you move from zero to 15 on the number line, you are representing all of the following except _____.
the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15
All of the following expressions are equal to N except _____.
−(− N )
− N
| N |
|− N |
Answer:
The first one
Step-by-step explanation:
Please help will mark brainliest ! Sampling methods
Answer:
i think it is b
Step-by-step explanation:
Answer:
a to e
Step-by-step explanation:
.What is 20/24(twenty-twenty fourths) to its most simplified form?
Factor the GCF
12x^2-18x
Answer:
How to solve your question
Your question is
1
2
2
−
1
8
12x^{2}-18x
12x2−18x
Grouping
1
Factor out common coefficient factor
1
2
2
−
1
8
12x^{2}-18x
12x2−18x
6
(
2
2
−
3
)
6(2x^{2}-3x)
6(2x2−3x)
2
Rewrite in factored form
Solution
6
(
2
−
3
)
⋅
Step-by-step explanation:
If the polygon is rotated 90' clockwise about the origin, the measure of angle W' is
Answer:
If you are referring to the angle of the polygon, than it is the same, if you are referring to the angle between the initial and final point about the origin, than it's a right angle. If there is a point(x,y) rotated about the origin(0,0), then the new point will be (y,-x).
how many milligrams of the drug are in your blood after 2 day?
Answer: 31 milligrams
Step-by-step explanation: As you can see on the chart you attached, 48 hrs equals 31 mg. One day is 24 hours, so that would mean two days in 48 hrs.
Which of the following points satisfies the inequality x ≥ -3? (Select all that apply.)
(0, -2)
(5, -5)
(-3, 4)
(-4, 2)
Answer:
(0,-2)
(5,-5)
(-3,4)
Answer:(0,-2)(5,-5)(-3,4)
Step-by-step explanation:
Find the length of the missing leg in the following triangle
Answer:
9
Step-by-step explanation:
a² +b²=c²
a²+40²=41²
a²=41²-40²
a²= 81
[tex] \sqrt{ {a}^{2} } = \sqrt{81} [/tex]
a=9
A tortoise challenged a hare to a 100-meter race on a track. The tortoise negotiated a 60-meter head start with the hare. When they passed their respective starting points the hare was running at a constant speed of 3.6 meters per second and the tortoise was crawling at a speed of 0.7 meters per second. (They both maintained these speeds for the entire race.) Our goal is to determine who won the race. Take out a piece of paper and read the above problem statement again. In a couple of sentences, describe how you might determine who won the race. Construct a drawing to represent the 100-meter length of the track. Then place the tortoise and hare's starting points on the track. Define the variable t to represent the number of seconds since the start of the race.
Answer:
Hare wins the race
Step-by-step explanation:
Length of track = 100 m
Let t represent the number of seconds in completing the race.
Speed of tortoise = 0.7 m/s
Distance covered by tortoise in t seconds = Speed \times time = 0.7t
We are given that The tortoise negotiated a 60-meter head start with the hare.
So, Distance covered by tortoise in t seconds = 60+0.7t
Speed of hare = 3.6 m/s
Distance covered by hare in t seconds = 3.6 t
Now
3.6t = 100
[tex]t=\frac{100}{3.6}[/tex]
t=27.77
60+0.7t=100
[tex]t=\frac{100-60}{0.7}[/tex]
t=57.14
So, Hare took less time
So, Hare wins the race
Brad is 3 years older than Francis. The product of their ages is 154. Determine their ages.
Brad is 3 years older than Francis. The product of their ages is 154. Determine their ages.
Given:product of their ages=154Brad is 3 years older than FrancisLet:Age of Francis be xAge of Bard be x+3Answer:A/Q:Age of Bard× Age of Francis=154
x×(x+3)=154x²+3x=154Let's split 3x into +14x and -11x
x²+3x-154=0x²+14x-11x-154=0x(x+14)-11(x+14)=0(x-11)(x+14)=0x=11x=-14So we aren't taking ages in negetive
.°.x=11As we know in starting we have take x as Financis age
.°. Francis age=11✔We know Brad is 3 years older than Francis
.°. Brad age=x+3Brad age=14✔_____________________With regards!
✧Dull Star✧
Written as a rate 210 miles in 6 hours would be miles per hour
Answer:
35 mph
Step-by-step explanation:
210/6=35
A cougar jumped a distance of 13 yards. How many inches did this cougar jump?
Answer:
468 in
Step-by-step explanation:
Step 1: Define conversions
3 feet = 1 yard
1 foot = 12 inches
Step 2: Use dimensional analysis
[tex]13 \hspace{3} yards(\frac{3 \hspace{3} feet}{1 \hspace{3} yard} )(\frac{12 \hspace{3} inches}{1 \hspace{3} feet} )[/tex] = 468 inches
On the graph paper, plot a point A (-2,-2).Reflect the point A in x-axis and y-axis. Let these points be B and C. Find the measure of angle BAC
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Answer:
90°
Step-by-step explanation:
The lines of reflection make right angles with each other, so the angle made with the reflected points will be a right angle.
m∠BAC = 90°
Graph the line Y-3=-1/5(x+2)
Answer:
Did you know im cracked at fortnite
Step-by-step explanation:
First I do my 90s then double edit simple math pretty ez.
need help with math questions
Well l am going to tell you what l think.
Step-by-step explanation:
Nos 1 is an equilateral triangle because it has 3 angles and 3 sides and it's equal to 180°,one angle is 60°.
Nos 2 is an isosceles triangle because it has 2 angles and 2 sides.
Dalin is 16 years old hey sister is 3/4 of his age How old is his sister
Answer:
12
Step-by-step explanation:
if 4x4 is 16 and we want to know what is 3/4 of that then we can easily just subtract 4 from it
Answer:
The guy above me is right.
Step-by-step explanation:
What’s the correct one?
Answer: B is the correct answer
Step-by-step explanation: when your symbol is less than it will go to the left and when it is is greater than it will go to the right, and since the symbol is greater than or equal to the circle thingy will be filled in. So, B is the correct answer.
The lines Graphed below are perpendicular. The slope of the red line is -1/3. What is the slope of the green line.
Answer:
C
Step-by-step explanation:
The slope is 3. A perpendicular line has the complete opposite of the other. So if it is -1/3 slope for one line, the perpendicular line would be 3/1 which simplifies to 3. Hope this helps!