-6
-24/2 + 25/5 + 1
-24/2+25/5+1
-12+25/5+1
-12 + 5 + 1
-7+1
-6
The sketch shows part of the graph y=ab^x
Answer:
a = 3, b = 2
[tex]y = 3\cdot 2^x[/tex]
Step-by-step explanation:
[tex]y = ab^x\\3 = ab^0\\12 = ab^2\\~\\3=ab^0=a\cdot 1 = a\\a = 3\\~\\12 = ab^2 = 3b^2\\4 = b^2\\b = 2 \vee b = -2[/tex]
but we know from the graph being defined and positive, that b cannot be -2
b = 2
The value of a is 3 and value of b is 2.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The graph is y=abˣ
The points with coordinates (0, 3) and (2, 12) lie on the graph.
We need to find the values of a and b.
The point (0, 3)
3=ab⁰
a=3
Now point (2, 12)
12=ab²
Now plug in a value as 3
12=3b²
Divide both sides by 3
12/3=b²
4=b²
b=2
Hence, the value of a is 3 and value of b is 2.
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Armed gunmen shoot a victim who is 5.9 ft tall, from the roof of a building that is 146 ft away. If the roof of the building was 385 ft high, at what angle to the horizon would the bullet have been fired?
The bullet has been fired at an angle of 69.5° to the horizon. This is a problem based on the application of trigonometry.
Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles.
Given that
Distance between the building and the man = 146 ft.
Height of the man = 5.9 ft.
Height of the building = 385 ft.
So,
Total height = Height of the man + Height of the building
= 5.9 ft. + 385 ft.
= 390.9 ft.
Let the angle to the horizon would the bullet have been fired be x°.
[tex]tanx^o = \frac{390.9}{146}\\tanx^o = 2.677\\x = tan^{-1}(2.677)\\x = 69.5[/tex]
Thus, the bullet has been at an angle of 69.5°.
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Classify the triangle with sides of lengths 24, 24, and 4.
Answer: Isosceles triangle
Step-by-step explanation:
A window is in the shape of a kite. Caleb wants to apply a layer of plastic film on the top half of the window so that the glass appears crackled. What are the dimensions of the layer of film he will apply?
Show Your Work And Hurry I Have 30 Minutes. A kite is broken into 2 triangles. Each triangle has a base of 18 inches and a height of 7 inches.
9 inches in width and 7 inches in height
9 inches in width and 14 inches in height
18 inches in width and 7 inches in height
18 inches in width and 14 inches in height
Answer:
C) 18 inches in width and 7 inches in height.
Answer:
C.
Step-by-step explanation:
hope it helps
LINKS = reported ,, anyways I’ll give brainliest if ur right
Find the volume of this sphere.
Round to the nearest tenth.
7in
Formulas for Spheres
S.A. = 41112
Varr
? 1 in 3
Answer:
1436.02
Step-by-step explanation:
Evaluate the expression.
−(1/2)^4
The value of the expression is
Answer:
Exact form: -1/16
Decimal Form: -0.0625
Step-by-step explanation: Hope this helps.
At a high school, 18% of all students are in the school musical and the choir, and 32% of the students are in the school musical. What is the probability that a student is in the choir, given that the student is in the school musical
Answer: 56.25%
Step-by-step explanation:
Probability that student is in the school musical and choir = Probability that student is in choir given that they are in musical * Probability that student is in the school musical
Changing the subject of the formula:
Probability that student is in choir given that they are in musical = Probability that student is in the school musical and choir / Probability that student is in the school musical
= 18% / 32%
= 56.25%
What is the area, in square meters, of the isosceles trapezoid below? 15.8 m 5-4 m 6.6 m Answer: A = ____ m squared
Answer:
5.618773 m2
I hope that this is the answer.
Answer:
answer is 60.48 m squared
Step-by-step explanation:
use the formula
a=1/2(b1+b2)h
a=1/2(15.8+6.6)h
a=1/2(22.4*5.4)
a=1/2(120.96)
a=120.96/2
a=60.48m
Please help- will give brainlist
Answer:
No its C sorry
Step-by-step explanation:
Answer:
The answer is (c) 25π
Step-by-step explanation:
Area =πr²
r=diameter÷2
10÷2=5
Area=π * 5²
Area =25π
(1/2a - 1/3b) - (1/3b - 1/2a)
Answer:
a- 2b/3
Step-by-step explanation:
1) Remove the parentheses and combine like terms
Find the slope of the line that contains (5,-6) (-6,-6).
Answer:
There is no slope.
Step-by-step explanation:
a rectangular prism has a lenghth of 9 inches a width of 4 inches and a height 1 1/2 inches the prism is filled with cubes that have edge lengths of 1/2 inches how many cubes are needed to fill the rectangular prism please help man
108 cubes would be needed to fill the prism
Name the polygon. Then tell whether it is a regular polygon or not a regular polygon.
The polygons name is an octagon and is not a regular polygon
Please help me with this !!
Answer:
Step-by-step explanation:
a = 1
b = 6
c = 6
axis of symmetry = -(6) / 2*1
= -6 /2
= -3
vertex = ( -3, -3 ) :)
Answer:
Step-by-step explanation:
a = 1 because if is not written what x^2 multiply, it means that x^2 multiply 1
b = 6 b is the term that multiply x
c = 6 c is the therm without x
axis of symetry = -6/2 = -3
the x of vertex is same of the axis of the symmetry so it is -3
if we subistute x with this value we can find the y of vertex
(-3)^2 + 6(-3) + 6 = 9 -18 + 6 = -3
Vertex (-3, -3)
Could anyone help me with this? Thanks
Answer:
M: (2,-2)
N: (1,2)
O: (2,-4)
P: (5, -2)
Step-by-step explanation:
What you would do is find out where the two lines intercross. The 2 right quadrants are positive. The two left are negative. Count the lines and figure out the ordered pair. X is left and right, y is up and down. For example, if you were given a ordered pair, (4,-2) you would go up four, and left 2.
Don drives his car 25 km east and then 312 km south. How far is he from his starting point? Round to the nearest tenth.
Please help this is an emergency
Answer:
21°
Step-by-step explanation:
<CBE=<ABD=69°
in triangle ABD, <ABD+<ADB+<DAB=180°
69°+90°+x=180°
So, x= 21°
What is the total surface area of this square pyramid?
204 cm2
384 cm2
72 cm2
240 cm2
Answer: 384 cm²
Step-by-step explanation:
Took test
Answer:
Answer: 384 cm²
Step-by-step explanation:
What is the equation of the line that passes through the point (-2, 0) and has a slope of -2?
Answer:
y=-2(x+2)
Step-by-step explanation:
plug in(-2,0) into y-y1=m(x-x1)
y=m(x+2)
slope =m=-2
y=-2(x+2)
What is the answer for C = π/2
Answer:
C=5π/2
Step-by-step explanation:
What is the speed of a wave that has a wavelength of 2m and frequency of 1.5 Hz?
Doc Below
zoom
860/483/9988
this is just not part of it⇒ 5+2=7
Answer:
Ok and the answer is true :)
Step-by-step explanation:
For each of the figures write an absolute value equation to satisfy the given solution set.
Pls don't show your work, just solve it.
Answer:
x > 1.5
Step-by-step explanation:
I am not sure what exactly the question asks, because there doesn't need to be an absolute value bracket, but from what we can see, x is greater than 1.5, so the equation would be
x > 1.5
Answer:
hi I need help in math please help me
Step-by-step explanation:
will you?
Find the measure of angle b
please help:)
Find the circumference of a circle with a radius of 5 mm.
A 307 mm
B 57 mm
257 mm
107 mm
Answer:
31.42
Step-by-step explanation:
circumference of a circle= 2* [tex]\pi[/tex]* r
2* 22/7 * 5 = 31.42 (2 dp)
How do you find percentages?
Step-by-step explanation:
if you have 3/4 you divide the part, 3, by the whole, 4
3 ÷ 4 = 0.75
then multiply 0.75 by 100, 75, then add a percentage sign: 75%
I need help checking over this
Answer:
3
Step-by-step explanation:
2xy⁴ + 2x²y - 3y² + 10x³
In descending order
2xy⁴ + 10x³ + 2x²y - 3y²
Now, In this polynomial the second term is 10x³ and it's degree is 3
Thus, The answer is 3
-TheUnknownScientist
Calculate the sum
32+(-40)
Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms interior 24, measuring 35°. What is the measure of
272
Main
Oak
4 (35)
5
6
Elm
O A. 145°
B. 135
C. 35
D. 45°
PLEASE HELP ANS HURRY!
Abigail and her children went into a bakery and she bought $11.25 worth of cupcakes and cookies. Each cupcake costs $3.75 and each cookie costs $0.75. She bought a total of 7 cupcakes and cookies altogether. Graphically solve a system of equations in order to determine the number of cupcakes, x,x, and the number of cookies, y,y, that Abigail bought.
Number of cupcakes 2
number od cookies 5