Answer:
X = -1 (unsure as to how this is not an answer but I have checked my work)
Step-by-step explanation:
( f(x) = y )
1. y = 2x + 2
-2 -2
2. -2 = 2x
/2 /2
3. -1 = x
The angle of elevation to a nearby tree from a point on the ground is
measured to be 38°. How tall is the tree if the point on the ground is 77 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.
Answer:
Step-by-step explanation:
tan 38 = opp/adj = h/77
h = 77tan38
h = 60.1589932...
h = 60.2 ft
Convert 39/4 into a mixed number.
Answer: The answer is 9 3/4.
Step-by-step explanation: When converting an improper fraction to a mixed number, the first step to take is figure out how many times the denominator goes into the numerator. The number 4 goes into 39
9 times(4 x 9 = 36). The remainder 3 becomes the numerator of the denominator 4, therefore 39/4 converted to a mixed number is 9 3/4.
Answer:
9 3/4
Step-by-step explanation:
Which relation is also a function? {(2,0), (3,2), (2,3)} {(0,0), (3,0), (5,0)} {(3,1), (3,2), (3,3)} {(5,2), (5,4), (2,6)}
Answer:
only{(0,0), (3,0), (5,0)} (the x axis)
Step-by-step explanation:
as all the others have more than one possible output y for a unique input x
Point P(5,0) is on the terminal arm of an angle k in standard position.
Determine the value of cosk.
The value of the cosine of angle [tex]k[/tex] is 1.
Given a point [tex](x,y)[/tex] that is a terminal arm of an angle [tex]k[/tex] in standard position, by trigonometric relations we have the following expression for the cosine:
[tex]\cos k = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
Where:
[tex]k[/tex] - Angle measure, in sexagesimal degrees.[tex]x[/tex] - Horizontal position of the point of the terminal arm, no unit.[tex]y[/tex] - Vertical position of the point of the terminal arm, no unit.If we know that [tex]x = 5[/tex] and [tex]y = 0[/tex], then the cosine of the angle [tex]k[/tex] is:
[tex]\cos k = \frac{5}{\sqrt{5^{2}+0^{2}}}[/tex]
[tex]\cos k = 1[/tex]
The value of the cosine of angle [tex]k[/tex] is 1.
To learn more on trigonometric relations, we kindly invite to check this verified question: https://brainly.com/question/6904750
10.) - 3x - y = - 36
4x + 4y = 72
Itemized Charitable Contributions The average charitable contribution itemized per income tax return in Pennsylvania is $792. Suppose that
the distribution of contributions is normal with a standard deviation of $108. Find the limits for the middle 58% of contributions.
Answer:
B
Step-by-step explanation:
What is the change in elevation for
(3)(4)(-3.5)
Hey there!
(3)(4)(-3.5)
= 12(-3.5)
= -42
Therefore, your answer SHOULD be: -42
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Pls help asap thank you
A BCC professor decides to grade his class as following: 20 percent for homework assignments, 10 percent for quizzes, 25 percent for a midterm, and 45 percent for the final exam. A student receives 90 for homework, 95 for the quizzes, 85 for the midterm and 84 for the final exam. What will be the student’s class grade?
Class grade: ?
Answer:
86.55%
Step-by-step explanation:
Basically what you would do is take each percentage and turn it into decimal percent. after that, you multiply it with the respective numbers, like:
90 × 0.20= 18
95 × 0.10= 9.5
85 × 0.25= 21.25
84 × 0.45= 37.8
Adding these numbers together, you could get 86.55, or 86.55%.
What is equivalent to 6x=3+4=5+3x+4?
Answer: Can I see an image of the word problem?
Find an equation in slope-intercept form of the line satisfying the specified conditions.
Through (8,-3), perpendicular to -6x + 7y=-62.
Answer:
[tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex]
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
-6x +7y= -62
Rewriting this equation into the slope-intercept form:
7y= 6x -62
[tex]y = \frac{6}{7} x - \frac{62}{7} [/tex]
The product of the slope of 2 perpendicular lines is -1.
Let the slope of the unknown line be m.
[tex]m( \frac{6}{7} ) = - 1[/tex]
[tex]m = - 1 \div \frac{6}{7} [/tex]
[tex]m = - \frac{7}{6} [/tex]
Substitute the value of m into the equation:
[tex]y = - \frac{7}{6} x + c[/tex]
To find the value of c, substitute a pair of coordinates into the equation.
When x= 8, y= -3,
[tex] - 3 = - \frac{ 7}{6} (8) + c[/tex]
[tex] - 3 = - \frac{28}{3} + c[/tex]
[tex]c = \frac{28}{3} - 3[/tex]
[tex]c = \frac{19}{3} [/tex]
[tex]c = 6 \frac{1}{3} [/tex]
Thus, the equation of the line is [tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex].
Which represents the inverse of the function f(x) = 4x?
Oh(x) =x+4
O h(x) =x-4
O h(x) = 3/4x
O h(x) = =1/2x
Answer:
h(x) = 1/2x f(x) = 4x 4x/2=2xSo,h(x) = 1/2xThe inverse of the function of f(x) = 4x is h(x) = x/4
Inverse of the functionSince f(x) = 4x, to obtain its inverse, we write f(x) = y
So, y = 4x.
We now divide both sides by 4. so, we have
y/4 = 4x/4
y/4 = x
Next, we replace x with y. So,
y/4 = x
x/4 = y
Next, we now replace y with f⁻¹(x) which is the inverse of f(x).
So, y = x/4
f⁻¹(x) = x/4
Since f⁻¹(x) = h(x), replacing these, we have
h(x) = x/4
So, the inverse of the function of f(x) = 4x is h(x) = x/4
Learn more about inverse of a function here:
https://brainly.com/question/10219387
What is the volume of the following cylinder?
150.72 in. 3
301.44 in. 3
75.36 in. 3
602.88 in. 3
Answer:
150.72 in³
Step-by-step explanation:
We know that
Radius = Diameter/2
Radius = 8/2
Radius = 4 in
Now,
Volume of cylinder = πr²h
=> 3.14 × (4)² × 3
=> 3.14 × 16 × 3
=> 150.72 in³
Answer:
The correct answer is option 150.72 in³.
Step-by-step explanation:
Given :
✧ Diameter of cylinder = 8 in.✧ Height of cylinder = 3 in.To Find :
✧ Volume of cylinderUsing Formula :
[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]
[tex]\star{\small{\underline{\boxed{\sf{\pink{V = \pi{r}^{2}h}}}}}}[/tex]
»» r = Radius »» D = Diameter »» V = Volume »» h = heightSolution :
Firstly, finding the radius of cylinder by substituting the values in the formula :
[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{D}{2}}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{8}{2}}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \cancel{\dfrac{8}{2}}}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = 4 \: in}}}[/tex]
[tex]{\star{\underline{\boxed{\sf{\red{Radius_{(Cylinder)} = 4 \: in}}}}}}[/tex]
Hence, the radius of cylinder is 4 in.
[tex]\rule{300}{1.5}[/tex]
Now, finding the volume of cylinder by substituting the values in the formula :
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4)}^{2} \times 3}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4 \times 4)} \times 3}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(16)} \times 3}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times 16 \times 3}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} \times 16 \times 3}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 16 \times 3}{100}}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 48}{100}}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{15072}{100}}}}[/tex]
[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}[/tex]
[tex]\star{\small{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}}}}[/tex]
Hence, the volume of cylinder is 150.72 in³.
[tex]\rule{300}{1.5}[/tex]
A market increased the price of cheese selling for $4.98 per pound by 3%. What is the new
price for two pounds of cheese?
QUICK
Answer:
$10.26
Step-by-step explanation:
$4.98x0.03= 0.1494,
4.98+0.1494= 5.13
2; 5.13+5.13= 10.26
Answer:
$10.26
Step-by-step explanation:
$4.98*103/100=x
x=5.1294
2 pounds=2x=$10.2588=$10.26
A car travels at an average speed of 60 km/h for 2.1 hours.
How far did the car travel in km?
Answer:
15 km
Step-by-step explanation:
Rob is saving to buy a new MP3 player. For every $15 he earns babysitting, he saves $10.On Saturday, Rob earned $45 babysitting. How much money did he save?
Answer:
$30
Step-by-step explanation:
Okay, so we can solve this problem using fractions; $10 saved for every $15 made..
10/15=x/45
Using cross multiplication we can conclude 10*45=15x
450=15x
x=30
Hope this helps :)
y^ –7x^3 zx^–1y^7 z^–4 simplified
Answer: -7x^4 y - 7zx + y - 4
Step-by-step explanation:
Write each quotient as a single power.
[tex]a)\frac{-3^4}{3^4} = -3^{4-4} = -1[/tex]
[tex]b)\frac{(-9)^{10}}{(-9)^5} = (-9)^{10-5}= (-9)^5[/tex]
[tex]c)\frac{11^9}{11^6} = 11^{9-6} =11^3[/tex]
ok done. Thank to me :>
i borrowed 500 rupess from each of my two friends 250+250 = 500 i bought a shirt of 450 that is 500-450= 50 i lost 30 rupees that is 50-30 = 20 i returned 10 rupees to my one friend and 10 rupees to the other to whom i borrowed 250 and 250 now as i gave them 10 and 10 back now i owe them 240 and 240 if we calculate 240+240= 480+30 that i lost equals to 240+240+30 = 510 when i borrowed only 500 where from these 10 rupees came..
State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible
Answer:
c) ASA
Step-by-step explanation:
Angles at either end of the shared line segment are marked congruent, so the triangles can be shown to be congruent using the ASA postulate. (The shared segment is congruent to itself.)
Which of the following is an example of a ratio variable?
A-Martha is the same gender as Ruth
B-Mary's IQ is 115 and Janet's is a 90, which means Mary's IQ is slightly higher than Janet's
C-Sam is twice the age of his son
D-George and Harry attend religious services about the same amount
Rewrite in standard form.
4y = 3 - 4/5x
Answer:
−17x+10y=3
Step-by-step explanation:
What is 27.6 / 8???????????
Answer:
seriously??
have you heard of calculators lol
the answer is 3.45
Is it true that Confidence intervals are always close to their true population values?
Answer:
This means that there is a 95% probability that the confidence interval will contain the true population mean. Thus, P( [sample mean] - margin of error < μ < [sample mean] + margin of error) = 0.95.
What is the equation for the graph shown?
Answer: y=2/3x+4
Step-by-step explanation:
this will be written out in y=mx+b form. M stands for the slope, and b stands for the y-intercept, or where the line intersects with the y-axis.
going left to right, the line slopes upward, therefore it is a positive slope. This means that the “m” part of the equation will be a positive number. When finding the slope, we use rise over run. On your graph, if you take one point and rise 2, then run right 3, you will find another point! We have now found that the slope is 2/3x.
let’s plug this into our equation. Y=2/3x +b
lastly, we find the y-intercept. This is simply where the line intersects with the y-axis. In this case, it is positive 4. So the y-intercept is 4.
our final equation is: y=2/3x +4
i hope this is helpful.
can you guys help me plz
Answer:
1) x>1
2) x<6
3) x>34
4) x>-4
5) x<2
6) x>-36
7) x<=4
8) x>-2
9) x>=2
10) x>14
The formula p=F/A can be used to relate pressure force and area. Solve the formula for A.
[tex]P=\dfrac{F}{A}\\\\\implies PA = F\\\\\implies A = \dfrac{F}{P}[/tex]
B = {x|x ∈ N and 1 ≤ x < 9}
Answer:
Set membership x ∈ X means x is an element of the set X. (Non-membership is written x ∈ X.) Set inclusion X ⊆ Y means every element of X is an element of Y ; X is a subset of Y .
Step-by-step explanation:
Carry on learning
sin^2 θ - secθcosθ + cos^2 θ =
Answer:
0
Step-by-step explanation:
sin²θ + cos²θ = 1
secθcosθ = (1/cosθ)cosθ = 1
1 - 1 = 0
These are so random? I don’t know why I have to put these? Ignore them