Answer:
x=120
y=180
Step-by-step explanation:
x=300-y
12x+15y=4140
12(300-y)+15=4140
y=180
substitute
x=300-180
x=120
Which expression is equivalent to
3 7/8 - 6 1/4
Answer:
C [tex]3 \frac{7}{8} + (-6\frac{1}{4})[/tex]
Step-by-step explanation:
+ × - = -
Example:
5 × -3 = -15
+(-5) = -5
then:
3 7/8 - 6 1/4
= 3 7/8 + (-6 1/4)
A tunnel on a bike trail is being designed similar to the picture below. The height of the new bike tunnel, y, in feet, is given by the following equation, where x is the horizontal distance, in feet, from the center line of the opening of the tunnel. Note that negative x-values indicate the distance to the left of the center line, and positive x-values indicate the distance to the right of the center line. Plot the points on the graph where the height of the tunnel is a maximum and where the height of the tunnel is zero feet.
we have that
[tex]y=-x^2+36[/tex]
we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum
step 1
convert the equation of the parabola in the vertex form
[tex]y=-x^2+36[/tex]
[tex]y-36=-x^2[/tex]
the vertex (h,k) is the point (0,36)
Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)
Part b) The points on the graph where the height of the tunnel is zero feet is when y=0
so
for y=0
[tex]-x^2+36=0[/tex]
[tex]x^2=36[/tex]
[tex]x=(+/-)6[/tex]
the points are (-6,0) and (6,0)
see the attached figure
Answer:
Step-by-step explanation:
Determine the period.
Answer:
Step-by-step explanation:
we are being told that each square is one unit. so, look at peak to peak and count the units.
1,2,3,4,5,6,7
From peak to peak is 7 units, so the period is 7
geometry
help please
The angle m∠UVW can be found using angle of circumference rule in geometry. Therefore, m∠UVW = 67°
Angle on a circumferenceAn angle at the circumference of a circle is half the angle at the centre standing on the same arc.
In other words, the angle at the centre of a circle is twice the angle at the circumference.
Therefore,
m∠UVW = 134 / 2
m∠UVW = 67 degrees
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What is the sum of the angles in the image?
A.66°
B.86°
C.76°
D.50
Answer: 76 degrees
Step-by-step explanation: 63 + 13 = 76
Need help with this question
Answer:
D
Step-by-step explanation:
Factor
this is how is should be
x + 2 = 0
=> x = -2
x - 3 = 0
=> x = + 3
(8b+7) + (2b-9) simplify
Answer:
Step-by-step explanation:
10b + -2
or
10b - 2
8b + 2b = 10b
7 - 9 (or 9 - 7, which equals 2) = -2
you can add -2 which is
10b + -2
or subtract
10b - 2
Answer:
10b-2
Step-by-step explanation:
8b+2b is 10b. Then 7+(-9) is -2. Combine the answer to get 10b-2
Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest).
f(x) g(x) h(x)
f(x) = -2(x − 4)2 + 2 g(x) = 5x2 − 10x + 7 graph of negative 1 times the quantity of x plus 2 squared, plus 2
Answer:
h(x), g(x), f(x)
Step-by-step explanation:
The axis of symmetry of a parabola is the vertical line through its vertex.
__
f(x)The equation is written in vertex form:
f(x) = a(x -h)² +k . . . . . vertex (h, k), scale factor 'a'
The vertical line through the vertex is x=h.
Your equation is ...
f(x) = -2(x -4) +2
so (h, k) = (4, 2) and the line of symmetry is x=4.
__
g(x)The given equation can be written in vertex form:
g(x) = 5x² -10x +7
g(x) = 5(x² -2x) +7
g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square
g(x) = 5(x -1)² +2
so (h, k) = (1, 2) and the line of symmetry is x=1.
__
h(x)Your problem statement tells us ...
h(x) = -(x +2)² +2
so (h, k) = (-2, 2) and the line of symmetry is x=-2.
The coordinates of the vertex can also be read from the graph: (-2, 2).
__
orderThe rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).
A Girl Guide measured the angle of elevation to the top of a monument to be 59°. The height of the monument is 38.5 m. She
then walked 31.0 m farther away from the tower. Determine the angle of elevation to the top of the monument from her new
location, to the nearest tenth of a degree.
The angle of elevation is 35.4.
What is angle of elevation?The angle formed by the line of sight and the horizontal plane for an object above the horizontal.
tan D = AB/BD
tan D = 38.5/54.13
D = 35.4
Hence, the angle of elevation is 35.4.
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Michael earned the following test scores: 77, 80, 82, 99, 91, 80, 80 which two measures for this data set are closest in value? median, mode mode, mean mean, median mode, range
Answer:
mode and median
Step-by-step explanation:
both are 80
mode - value that appears most often
median- list values lowest to highest find the value in the middle position
Answers is easy it's a 4th grade answer
Answer: Hope this helps
Step-by-step explanation:
can someone help me out with this problem please? Thank you!
Answer:
18.84
Step-by-step explanation:
The diameter is 2 times the radius, so just multiply 6 by 3.14
please mark brainliest ( :
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate the circumference ~
[tex]\qquad \sf \dashrightarrow \: c = \pi d[/tex]
where, d = 2r = 2 × 3 = 6 ft[tex]\qquad \sf \dashrightarrow \: c = 3.14 \times 6[/tex]
[tex]\qquad \sf \dashrightarrow \: c =18.84 \: ft[/tex]
PLEASE HELP MEEEE i'll give brainliest if it's answered w work thank u lololol im failing this class
Answer:
it is 20 miles per gallon
7)
What is the average rate of
change for f (x) = -2% + 70 over the interval 2 = X = 6?
A)
-15
O0
-16
-30
D)
-32
Answer:
A
Step-by-step explanation:
Here [ a, b ] = [ 2, 6 ], thus
f(b) = f(6) = - + 70 = - 64 + 70 = 6
f(a) = f(2) = - 2² + 70 = - 4 + 70 = 66
average rate of change = = = - 15 → A
Question content area top
Part 1
A fair coin is tossed three times in succession. The sample space is shown, where H represents a head and T represents a tail. Find the probability of getting exactly one head .
Which number is an outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
options:
31
23
34
7
Answer:
i say 7
Step-by-step explanation:
What is the nth term rule of the quadratic sequence below?
4
,
6
,
10
,
16
,
24
,
34
,
46
,
.
.
.
Answer:
4+(n-1)2
Step-by-step explanation:
Because its an arithmatic series for which the formula is
n-term=first term+(n-1)d.
where "d" is the common difference.
Three of the angles of a quadrilateral are each 95º. Find the fourth angle.
Answer:
first angle is 95
second angle is 95
third angle is 95
the sum of angle in a quadrilateral is 360
therefore 95+95+95°=285
to get the fourth angle=360-285=75
therefore the fourth angle is 75°
Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest cubic millimeter.
Answer:
10825 mm³
Step-by-step explanation:
Volume of cylinder shaped stack
V = πr²hV = 3.14 × (9.525)² x 38V = 119.32 x 90.725625V = 10825.3816 mm³V = 10825 mm³an 11 foot ladder is placed against the wall. the ladder is on ground level at an angle of 73.5° to the horizontal. about how far up the wall will the top of the ladder be
The 10.547 feet up the wall will the top of the ladder be if the 11-foot ladder is placed against the wall. The ladder is on ground level at an angle of 73.5° to the horizontal.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
Length of the ladder = 11 foot
The angle between ladder and horizontal = 73.5 degree
The height of the wall, the top of the ladder be(h):
From the sin ratio:
sin73.5 = h/11
h = 11sin73.5 = 10.547 feet
Thus, the 10.547 feet up the wall will the top of the ladder be if the 11-foot ladder is placed against the wall. The ladder is on ground level at an angle of 73.5° to the horizontal.
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Identify the bases and faces, and then the name of the given figure.
pentagon; triangles; pentagonal pyramid
heptagon; triangles; heptagonal pyramid
pentagon; rectangles; pentagonal prism
heptagon; rectangles; heptagonal prism
Answer:
heptagon; rectangles; heptagonal prism
Step-by-step explanation:
Since the base is a heptagon (hepta- is seven sides), that gets rid of both the pentagon answers. Since the sides are all rectangles, that gets rid of the Heptagon and Triangles answer. :)
Andrew can complete a job by himself in 20 minutes. if aijalon helps him, they can complete the job in 12 minutes. how long would it take aijalon to complete the job by himself? (in minutes.) rate of work problem
Answer:
30 min
Step-by-step explanation:
1 / ( 1/20 + 1/ x) = 12
1 = 12/20 + 12/x
8/20 = 12/x
x = 12 * 20 / 8 = 30 min
3. The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 70.3% of their carbon-14. How old were the bones at the time they were discovered?
Answer:
10,071 years
Step-by-step explanation:
If 'a' is the fraction remaining, it satisfies the equation ...
a = (1/2)^(t/5750)
Solving for t, we get ...
log(a) = log(1/2)×t/5750
t = 5750×log(a)/log(1/2) ≈ -19,101.09×log(a) . . . years
__
If 70.3% is lost, then 1 -0.703 = 0.297 is the fraction remaining. The age is estimated to be ...
-19,101.09×log(0.297) ≈ 10,071 . . . years
The bones were about 10,071 years old.
Enter the value of n so that the expression 2/5x-1/2 is equivalent to n(4x-5)
Please Help!
[tex]~~~~~~~\dfrac 25 x - \dfrac 12= n(4x-5)\\\\\\ \implies \dfrac{4x}{10}- \dfrac{5}{10} = n(4x-5)\\\\\\\ \implies \dfrac 1{10}(4x-5) = n(4x-5)\\\\\\\implies n = \dfrac 1{10}~~~~~;\left[x \neq \dfrac 54 \right][/tex]
Which table describes a function?
Answer:
A function table
Step-by-step explanation:
Hope this helped
Helpppppppppppp pleasee!!!!!!
Answer:
C, Negative x coordinates, positive y coordinates.
Step-by-step explanation:
Note that the original points are all in the third quadrant, i.e., sign will be (-,-). When reflected across the x axis, the y coordinate becomes negative => (x,-y) => (-,-) becomes (-,+)
Answer: D. Negative-x and Negative-y
Step-by-step explanation: quadrant one are both positive quadrant 2 is positive and negative. Quadrant 3 is negative and negative and quadrant 4 is negative and positive.
This year, Seaside recycled 21,600 tons of material. If this amount increases by 9% each year, how much material will be recycled 7 years in the future?
If necessary, round your answer to the nearest tenth.
Answer:
39,485.67
Step-by-step explanation:
What is NOT a way to write 52 + 80?
50 + 2 + 80
B
(50 + 80) + 2
C.
50 + 80 + 2 + 8
D.
50 + 2 + 80 + 0
Answer:
C. 50 + 80 + 2 + 8
Step-by-step explanation:
this would give you an answer 8 greater then the original equation 52+80
what is the probability of landing on green on the spinner?
Answer:
2/5
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
2 green / 8 total colors
2/8
Simplify to 1/4 of a chance
can someone help me please
Answer:
1) 125
2) 113
Step-by-step explanation:
Hope it helps :)
Answer:
x = 70°
Step-by-step explanation:
Since in triangle ABC (Check the image)
=> AB = AC
Therefore, ∠B = ∠C
From Angle Sum property of a triangle,
=> ∠A + ∠B + ∠C = 180°
=> x + 55 + 55 = 180
=> x +110 = 180
=> x = 70°
Hope you've understood the solution.
