Jose is making a model of an airplane that measures 34 feet tall and 108 feet long. If he uses a scale of 1:16, what will be the height and length of his
airplane? Round answers to the nearest hundredth if necessary.
The model will measure
feet tall and
feet long
Answer:
2 Height ft and 6.75 length ft
Step-by-step explanation:
You just decrease it to 1:16
so, 34:108 is 2:6.75 to be about the same size as 1:16
select the correct answer. which expression is equivalent to this polynomial? 9x2 4 a. (3x 2i)(3x − 2i) b. (3x 2)(3x − 2) c. (3x 2i)2 d. (3x 2)2
The polynomial 9x^2 + 4 is equivalent to (3x+2i)(3x-2i). The answer is A.
Polynomials are algebraic expressions that consist of variables and coefficients where arithmetic operations can be performed.
A polynomial is expanded if no variable appears within parentheses and all like terms have been combined.
To expand a polynomial, multiply its factors (often by using the distributive property) or perform the indicated operations. Then combine all like terms.
Expanding each of the options provided using FOIL method:
a) (3x+2i)(3x-2i)
= 9x^2 - 2ix + 2ix - 4i^2
= 9x^2 - 4i^2 *(i^2 = -1) note that i is an imaginary number and i squared is equal to -1
= 9x^2 - 4(-1)
= 9x^2 + 4
b) (3x+2)(3x-2)
= 9x^2 + 6x - 6x - 4
= 9x^2 - 4
c) (3x + 2i)^2
= 9x^2 + 6ix + 6ix + 4i^2 *(i^2 = -1)
= 9x^2 + 12ix - 4
d) (3x + 2)^2
= 9x^2 + 6x + 6x + 4
= 9x^2 + 12x + 4
Hence, the polynomial 9x^2 + 4 is equivalent to (3x+2i)(3x-2i). The answer is A.
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Look at the system of equations. One of them is
Y =-x-2
What is the other equation? Write in slope-intercept form. Start with y =
Please help:)
Answer:
y=4x+3
Step-by-step explanation:
The given equation y=-x-2 is the equation of the line passing through the points (-1,-1) and (-2,0) in the given graph.
From the graph, the other line is passing through the points (0,3) and (-1,-1).
So, the equation of the line passing through the two points is
[tex]y-3=(x-0)\times \frac{-1-3}{-1-0} \\\\y-3=x \times \frac{-4}{-1} \\\\y-3= x \times4 \\\\y=4x+3[/tex]
Hence, the equation of the other line is y=4x+3.
Find x if m/VUT = 175°, m/VUJ = 17x - 3, and m/JUT = 17x+8.
-
V
U
T
J
K
The value of x is 5.
Given that, m∠VUT = 175° , m∠VUJ = 17x-3 and m∠JUT = 17x+8.
The angle where two rays meet is represented as vertex.
Each and every vertex , where two rays meet have some angle between them.
The symbol that represents angle is, “∠”.
Here, you can deal with the angle and find the value of x by just equating the given equations upon the given angle m∠VUT = 175° .
we get,
m∠VUT = m∠VUJ + m∠JUT
175 = 17x-3 + 17x+8
175 = 34x + 5
175-5 = 34x
170 = 34x
170/34 = x
x = 5.
Therefore, the value of x is 5.
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-20 points!! -
This is my last question until and I have like 6 minutes until the deadline!
Given:
The figure.
To find:
The value of a.
Solution:
We know that, in a right angled triangle
[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan (38^\circ) =\dfrac{6}{a}[/tex]
Multiply both sides by a.
[tex]\tan (38^\circ)\times a=6[/tex]
Divide both sides by [tex]\tan (38^\circ)[/tex]
[tex]a =\dfrac{6}{\tan (38^\circ)}[/tex]
The value of a is [tex]\dfrac{6}{\tan (38^\circ)}[/tex].
Therefore, the correct option is b.
Which graph represents -5x + 6y > 12?
Answer:
The graph should have a y intercept of 2, shaded to the upper left, and the lines are dotted.
Step-by-step explanation:
similar to this
for what real life situation might you calculate -8 + 12
Answer:
4
When u have a bank account and are 8 dollars below proficiency and you add 12 dollars to your bank accountStep-by-step explanation:
add 12 to -8
4
Answer: Where you are 8 meters below sea level and you have to rise 12 meters from 8 meters below sea level. Hope this helps!
Step-by-step explanation:
PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer:
2
Step-by-step explanation:
5/1 *2/5 =10/5=2
Answer:
The correct answer is 2.
Step-by-step explanation:
To multiply this, we need to turn the integer 5 into a fraction. 5 can also be represented as 5/1.
5/1 x 2/5 =
10/5 =
2
Therefore, the correct answer is 2.
Hope this helps! :D
please hurry! brainliest if right!
Answer:
D. 5cm
Step-by-step explanation:
Which equations have no solution? Select ALL equations that have no solution.
A. 5x3+2x = 7x+3
B. 6x +5=2(8+6)
C. 3x + 2(x-1) = 5x +4
D. 4x2+x= -4+3x+2
E. 9x+5+x= 10x-6+1
OA. A and B
OB. B, C, and D
OC. C and E
D. A, C, and E
Answer:
C. C and E has no solution
Step-by-step explanation:
C) Let's solve your equation step-by-step.
3x+2(x−1)=5x+4
Step 1: Simplify both sides of the equation.
3x+2(x−1)=5x+4
3x+(2)(x)+(2)(−1)=5x+4(Distribute)
3x+2x+−2=5x+4
(3x+2x)+(−2)=5x+4(Combine Like Terms)
5x+−2=5x+4
5x−2=5x+4
Step 2: Subtract 5x from both sides.
5x−2−5x=5x+4−5x
−2=4
Step 3: Add 2 to both sides.
−2+2=4+2
0=6
Answer:
There are no solutions
E) Let's solve your equation step-by-step.
9x+5+x=10x−6+1
Step 1: Simplify both sides of the equation.
9x+5+x=10x−6+1
9x+5+x=10x+−6+1
(9x+x)+(5)=(10x)+(−6+1)(Combine Like Terms)
10x+5=10x+−5
10x+5=10x−5
Step 2: Subtract 10x from both sides.
10x+5−10x=10x−5−10x
5=−5
Step 3: Subtract 5 from both sides.
5−5=−5−5
0=−10
Answer:
There are no solutions.
Helppppp me please I need help please
Answer:
bruh. this wat im working on too and need help also
Answer:
x = 3.6, the measure of the largest angle is 86.4
Step-by-step explanation:
15x + 24x + 21x = 180
50x = 180
180/50 = 3.6
x = 3.6
-------------------------
24x = 24(3.6)
24 * 3.6
86.4
BRAINLIEST!!!! plz help
Answer:
the answer is the first one. angle N congruent to angle Z. it's the angle that's between the two given sides
Step-by-step explanation:
Six checkers are placed in three boxes: two red are in a box labeled "RR"; two black are in a box labelled "BB"; a red and a black are in a box labelled "RB". How can you tell, by taking only one checker out of one of the boxes (and without looking at any of the other checkers), the correct content of all three boxes?
Answe and Step-by-step explanation:
Looking at the question the way it was asked, it is easy because it said they have been labelled, so you don't have to stress yourself. Although, if what is intended is, the labelling got wrong along the way and how do you identify the correct one? Then this is what to do:
Go to the one labelled RB. Since I'm assuming that the labelling got wrong, if you pick a red, it means what we have should be a RR and if we picked a black, it means what we have is a BB and we can't have a RB because it was labelled wrongly.
Let's assume he saw a red,
We know that the BB box was labelled wrongly, and we already determined that the box with RB is a RR. Therefore, the box BB can never be RR(because we've seen it already) and it's certainly not BB (due to the fact that they were labelled wrongly). So we have only one option left which is it being RB and whatever we have left will be BB.
If we assume what was picked from the wrongly labelled RB is black.
We know that the RR box was labelled wrongly, and we already determined that the box with RB is a BB. Therefore, the box RR can never be BB and it's certainly not RR (due to the fact that they were labelled wrongly). So we have only one option left which is it being RB and whatever we have left will be RR.
The variables x and y vary inversely. Use the given values to write an equation relating x and y. x=7/2 y=3/5
Answer:
x = 21/10yStep-by-step explanation:
If the variables x and y vary inversely, this is expressed as;
x ∝ 1/y
x = k/y
k is the constant of proportionality
Given;
x = 7/2 and y = 3/5
Substitute;
7/2 =k/(3/5)
Cross multiply
k = 7/2 * 3/5
k = 21/10
Substitute the value of k into the formula;
x = k/y
x = (21/10)/y
x = 21/10 * 1/y
x = 21/10y
Hence the equation relating x and y is x = 21/10y
Plssss hellpppppp meeeeeeeww
Answer:
12
Step-by-step explanation:
When the numerators are the same, the denominator that is bigger has a lesser value. In this case, the inequality > shows that [tex]\frac{1}{10}[/tex] is bigger than the fraction next to it so in order to find a fraction that is lesser in value than [tex]\frac{1}{10}[/tex], we need to find a denominator that is more than 10, since 10 is the denominator of the first fraction. The only number more than 10 in the options is 12, so 12 is the answer.
8 light grey and 6 dark grey balls sit at the center with 2 concentric black rings around them. the inner ring has 2 medium grey balls on it, and the outer ring has 8 medium grey balls on it. at bottom, a dark grey ball
The Z value(atomic number) of the given atom is 8
for the reason that a dark gray ball has a further charge, it is a proton due to this. A mild grey ball has no fee, too. consequently, it's miles a neutron.A medium gray ball, however, incorporates a bad fee. it's miles an electron because of this.As is not unusual understanding, there are precisely as many protons as electrons in a impartial atom.because the furnished atom version lacks an usual rate Q. Atoms are subsequently impartial in nature.additionally, the full quantity of protons in an atom is identical to the atomic range. thus, the has atomic number an average proton depend of eight, a neutron remember of nine, and an usual electron count number of 8.Thus, we find that the atomic number of given atom is 8To learn more about atomic number visit:
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if you asked people to give their age and you collected it as <5, 6-10, 11-15, 16- 20, 21-25, 26 and older, what type of variable is this?
If we asked people to give their age and you collected it as <5, 6-10, 11-15, 16- 20, 21-25, 26, and older, it is a type of Discrete variable.
What is a Discrete variable?A discrete variable is one whose value can be determined by counting. A continuous variable is one whose value can be determined through measurement. A random variable is one whose value is the numerical result of a random phenomenon. The possible values of a discrete random variable X are countable. As an example, It is a type of Discrete variable if we asked people their age and you collected it as 5, 6, 10, 11, 15, 16, 20, 21, 25, 26, and older. There are two types of quantitative variables: discrete variables and continuous variables. Counts are represented by discrete variables (e.g. the number of objects in a collection). Continuous variables represent quantifiable quantities (e.g. water volume or weight).Therefore, if we asked people to give their age and you collected it as <5, 6-10, 11-15, 16- 20, 21-25, 26, and older, it is a type of Discrete variable.
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please help i’ll mark brainlest
Answer:
$4,594.76
Have a nice day :)
Also I am not sure it is correct
A clothing store is running an offer on men's shirts. When two shirts are bought at regular price, the third shirt is 50% off. Jeremy decided to buy three shirts for his brother using the offer. The regular price for a shirt is $36.00. Based on a tax rate of 7.50% that is applied after the discount, Jeremy paid a total of $ 100 for three shirts, including tax.
Answer: $96.75
Step-by-step explanation:
Regular price is $36 and the third shirt will come at a 50% discount.
Total price for the 3 shirts is;
= 36 + 36 + (36 * 50%)
= $90
The total after-tax is;
= 90 * ( 1 + tax rate)
= 90 * ( 1 + 7.50%)
= $96.75
I am unsure what the question is but the total amount that Jeremy should pay is $96.75.
Find the equation of the lines through the given points. Write the equation in slope-intercept form:
Between (-4,-3) and (4.-1)
Answer:4-x3
Step-by-step explanation:
I think that’s right
Help please! im struggling with all of these
Answer:
The first one is 6√10
The second one is −48√3
The last one is 28√2
Step-by-step explanation:
Perpendicular Lines
Instructions: Given the following image is a cube, name a segment that is
perpendicular to AH?
Answer:
HG
Step-by-step explanation:
Where they meet another line at a 90 degree angle.
The segment that is perpendicular to segment AH in the given cube is: HG.
What are Perpendicular Segments?When two segments form a right angle at the point of their interception, they are said to be perpendicular to each other.
In the image given, a right angle is formed where segments AH and HG meet. Therefore, a name of a segment that is perpendicular to AH is: segment HG.
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I'll give brainliest to whoever answers the question correctly!
Which step in the proof has a flaw?
Answer:
reason 2
Step-by-step explanation:
At a real estate agency, an agent sold a house for $396,000. The commission rate is 7.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
$29,700 and $79,200
Step-by-step explanation:
Step one:
given
The selling price of the house is $396,000
The commission rate is 7.5% for the real estate agency
The commission rate for the agent is 20%
Step two:
1. How much did the agency make on the house?
This amount is 7.5% of $396,000
= 7.5/100*396,000
= 0.075*396,000
=$29,700
2. How much did the agent earn in commission?
This amount is 20% of $396,000
= 20/100*396,000
= 0.2*396,000
=$79,200
25 is 32% of what number?
Oa. 120
b. 78.1
c. 65
O d. 8
Answer:
and conifer trees for any number (n) of rows of apple trees: X X X ... n Number of apple trees Number of conifer trees. 1. 1. 8. 2. 4. 16. 3. 9. 24. 4. 16. 32. 5. 25. 40 ... A 6 mg. B 12 mg. C 26 mg. D 32 mg. DRUG CONCENTRATIONS SCORING 2 ... Code 1: 65 zeds on a deck, 14 on wheels, 16 on trucks and 20 on hardware.
Step-by-step explanation:
Answer:
b. 78.1
Step-by-step explanation:
F is the midpoint of EG If EF = x + 2 and FG = 2x - 6, find
FG
Answer:
FG = 10
Step-by-step explanation:
EF = x + 2 ; FG = 2x - 6
F is the mid-point of EG. So, EF = FG
[tex] = > x + 2 = 2x - 6[/tex]
[tex] = > 2x - x = 6 + 2[/tex]
[tex] = > x = 8[/tex]
FG = 2×8 - 6 = 10
Caroline's Coffee shop sells a refill mug for $7.95. Each refill costs $1.60. Last month Sean spent $35.15 on mug and refills. How many refills did he buy?
Answer:
17 refills
Step-by-step explanation:
1.6x + 7.95= 35.15
1.6x = 27.2
x=27.2/1.6
x= 17
The ratio of boys to girls who play kickball at recess is 6 to 2. There are 18 girls on the team. What is the number of boys who play kickball at recess?
Answer:
19.72
Step-by-step explanation:
because it just is i just did the quiz and it was right hope it helps
\
Plz help me it’s inequalities thx (:
The equation f(x)=3x can be written as x^3=k. Find the value of k
After solving the equation we get the value of k as ₋3, and also proved that the function is odd function.
Given the equation is f(x) =x³₋(k₊3) x²₊3x
also we know that the f(x) is an odd function, then by definition we write
f(₋x) = ₋f(x)
f(₋x) = (₋x)³ ₋ (k ₊ 3)(₋x)² ₊ 3(₋x)
= ₋ [x³ ₋ (k ₊ 3)x² ₊ 3x] = ₋x³ ₊ (k ₊ 3)x² ₋ 3x
(₋x)³ ₋ (k ₊ 3)(₋x)² ₊ 3(₋x) = ₋x³ ₊ (k ₊ 3)x² ₋ 3x
₋x³ ₋ kx² ₋ 3x² ₋ 3x = ₋x³ ₊ kx² ₊ 3x² ₋ 3x
₋kx² ₋ 3x² = kx² ₊ 3x²
2kx² ₊ 6x² = 0
2k + 6 = 0
k = -3
Therefore, k has the result of reducing f(x) to x³ ₊ 3x. When we examine this function to check if it's an odd function, we see that
(₋x)³ ₊ 3(₋x) = ₋x³ ₋ 3x = ₋ [x³ ₊ 3x]
Hence the value of k is ₋3 and the function is an odd function.
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Your Question is incomplete. Please find the missing content here.
If f(x) =x³₋(k₊3) x²₊3x and if f is an odd function, what is k?