A. 43.96in?
Step_by_step explanationA car gets 32 miles per gallon . The function is d(x) = 32x represents the distance d(x) , in miles , that the car can’t travel with x gallons of gasoline. The tank holds 17 gallons.
Answer:
[tex]Domain: [0,17][/tex]
[tex]Range:[0,544][/tex]
Step-by-step explanation:
Given
[tex]d(x) = 32x[/tex]
Maximum gallon = 17
Required
Determine the domain and range --- This completes the question
If the maximum is 17 (i.e. at full capacity) then the minimum is 0 (i.e. when empty)
So, the domain is:
[tex]Domain: [0,17][/tex]
To calculate the range, substitute 0 and 17 for x in [tex]d(x) = 32x[/tex]
[tex]d(0) = 32 * 0 = 0[/tex]
[tex]d(17) = 32 * 17 = 544[/tex]
So, the range is:
[tex]Range:[0,544][/tex]
Find the slope between the two points (4, 2) and (-3,-2). Make sure to fully
simplify your fraction!
Answer:
4/7
Step-by-step explanation:
Slope of a line is expressed as;
Slope = y2-y1/x2-x1
Given the coordinate points (4, 2) and (-3,-2)
Slope = (-2-2)/-3-4
Slope = -4/-7
Slope = 4/7
Hence the slope between the two points is 4/7
Math Alin sa mga fraction sa ibaba ang katumbas ng 9/15? A.1/3 B. 2/5 C. 3/4 D. 4/5
Answer
A.
Step-by-step explanation:
kasi yan lang halos sure ako pero kayo bahala kung trust nyo ako
The side lengths of a triangle are 12.5 inches, 4.4 inches, and 11.7 inches. Which statement best describes the triangle formed using these side lengths?
A.) The triangle is an acute triangle
B.) The triangle is a right triangle
C.) A triangle cannot be formed using these measurements
D.) It is impossible to determine the type of triangle
Answer:
The triangle is a right triangle
Step-by-step explanation:
a4.4 x b11.7=c12.5 a4.4=19.36 b11.7=136.89 12.5=156.25 if you add a squared and b squared you get 156.26 which means its an right triangle
What is the answer to 420 + 69 =
Answer:
420 + 69 = 489
Step-by-step explanation:
HOPE THIS HELPS
brainliest pls :)
Answer:
489
Step-by-step explanation:
420 + 69 = 489
Rewrite the Cartesian equation y=-3 as a polar equation.
r
sin
θ
=
−
3
Explanation:
Imagine we have a point
P
with Rectangular (also called Cartesian) coordinates
(
x
,
y
)
and Polar coordinates
(
r
,
θ
)
.
The following diagram will help us visualise the situation better:
https://keisan.casio.com/exec/system/1223526375
https://keisan.casio.com/exec/system/1223526375
We can see that a right triangle is formed with sides
x
,
y
and
r
, as well as an angle
θ
.
We have to find the relation between the Cartesian and Polar coordinates, respectively.
By Pythagora's theorem, we get the result
r
2
=
x
2
+
y
2
The only properties we can say about
θ
are its trigonometric functions:
sin
θ
=
y
/
r
⇒
y
=
r
sin
θ
cos
θ
=
x
/
r
⇒
x
=
r
cos
θ
So we have the following relations:
⎧
⎪
⎨
⎪
⎩
r
2
=
x
2
+
y
2
y
=
r
sin
θ
x
=
r
cos
θ
Now, we can see that saying
y
=
−
3
in the Rectangular system is equivalent to say
r
sin
θ
=
−
3
Answer link
Jim G.
May 19, 2018
r
=
−
3
sin
θ
Explanation:
to convert from
cartesian to polar
∙
x
x
=
r
cos
θ
and
y
=
r
sin
θ
⇒
r
sin
θ
=
−
3
⇒
r
=
−
3
sin
θ
Need some help on this question???
Answer: 4
Step-by-step explanation:
Given
PA=6, PD=4, BE=5
We know, If PEB is a secant that intersects the circle at E and B and PA be a tangent at A, then
[tex]PA^2=PE\cdot PB[/tex]
Substitute the given values
[tex]\Rightarrow 6^2=(PE+BE)\cdot(PE)\\\Rightarrow 36=(PE+5)\cdot(PE)[/tex]
Take [tex]PE=x[/tex]
[tex]\Rightarrow 36=x^2+5x\\\Rightarrow x^2+5x-36=0\\\Rightarrow x^2+9x-5x-36=0\\\Rightarrow (x+9)(x-4)=0\\\Rightarrow x=-9,4[/tex]
Discard [tex]x=-9[/tex]
[tex]\therefore PE=4[/tex]
Juli uses 12 ounces of cheese in her potato soup recipe. Her recipe yields 8 servings. If Juli needs enough for 20 servings, how many pounds of cheese will she need? Thanks for the help!
Answer:
30 ounces of cheese
Step-by-step explanation:
12 divided by 8 = 1.5 so 1.5 ounces of cheese per serving
20 x 1.5 = 30 so 30 ounces of cheese
Help please explain the answer
The answer for x is 5x
The number 36 is 12% of:
Answer:
36 is 12% of 300.
Step-by-step explanation:
Hopw this helped. Have an Amazing Day, Evening, or Night! : )
Suppose the length of the base b of a rectangle is increased by 20 percent and the length of the altitude h is increased by 40 percent.
(a) Write an expression, in terms of b, that represents the length of the base of the rectangle after the 20% increase.
(b) Write an expression, in terms of h, that represents the length of the altitude of the rectangle after the 40% increase.
(c) Write an expression, in terms of b and h, that represents the area of the rectangle after both the lengths of the base and altitude are increased.
(d) Increasing a rectangle's base by 20% and altitude by 40% will increase the area by what percentage?
9514 1404 393
Answer:
(a) 1.2b
(b) 1.4h
(c) A = 1.68bh
(d) 68%
Step-by-step explanation:
(a) If 20% of b is added to b, you have ...
b + 0.20b = 1.2b
__
(b) Similarly, if 40% of h is added to h, you have ...
1.4h
__
(c) The area of the new rectangle is the product of the new dimensions:
A = (1.2b)(1.4h)
A = 1.68bh
__
(d) The original rectangle area is A = bh, so the percentage change can be computed as ...
(A'/A -1)×100% = ((1.68bh)/(bh) -1)×100% = (1.68 -1)×100% = 68%
The given increases in base and height increase the area by 68%.
Find the reference angle for 12pi/5
Answer:
72°
Step-by-step explanation:
To convert from degrees to radians, multiply the degrees by [tex]\frac{\pi }{180}[/tex].
To convert from radians to degrees, multiply the radians by [tex]\frac{180}{\pi }[/tex].
Right now you're in radians, so multiply it by [tex]\frac{180}{\pi }[/tex].
[tex]\frac{12\pi }{5}* \frac{180}{\pi }[/tex]=[tex]432[/tex]°.
Now we need to find the reference angle for 432°.
If you draw 432° starting from the right and going clockwise (because it is a positive angle, if it was negative you would go counterclockwise), it will make one full rotation, which is 360°, and you will end up in the 1st quadrant, 72° past 360°.
Depending on the quadrant you land in, there might be different operations to perform. Please check the attached image.
In this case, we're in the 1st quadrant so we can leave the angle as is.
The answer is 72°.
Write --X2 = 15 in standard form.
Help plzz will mark brainleast
Answer:
rectangular prism
Step-by-step explanation:
maybeeee
sorry if it wrong :l
HELP PLSSSSS I GIVE BRAINLY
Answer: 40 unit²
Step-by-step explanation:
A square pyramid is composed of 1 square and 4 congruent triangles
STEP ONE. Find the area of the square.
A=b²
b=base
A=b²=4²=14
STEP TWO. Find the area of the triangle
A=(1/2)bh
b=base
h=height
A=(1/2)bh
A=(1/2)(4)(3)
A=(1/2)(12)
A=6
There are 4 congruent triangles, so 6×4=24
The surface area of whole=24+16=40 unit²
Hope this helps!! :)
Please let me know if you have any questions
Given the figure below, find the values x of and z.
Answer:
x=7
z=79
Step-by-step explanation:
13x+10=101
13x=91
x=7
180-101=79
Please help! What is the value of x? (No links, I just need an answer and help..)
Answer and explanation please!
9514 1404 393
Answer:
x = 50
Step-by-step explanation:
The sum of exterior angles of a convex polygon is 360°.
130° + x° + 30° + 100° + x° = 360°
2x° = 100° . . . . . . . . . subtract 260° and collect terms
x = 50 . . . . . . . . divide by 2°
_____
Additional comment
If you reduce each side length to nothing, then you find the angles are measured around a central point. It becomes more clear that their sum is 360°.
find the measure of angle A
Step-by-step explanation:
angle a is interior angle
so 65+3x+2+7x+3=180
65+10x+5=180
70+10x=180
180-70=10x
110=10x
X= 11
so 3x+2= 33+2
= 35
What is the measure of XZ?
Answer:
C
Step-by-step explanation:
plz help will give crown
Answer:
choice D) d ≥ 5
Step-by-step explanation:
What is the total length of all the seeds
that the students measured?
Answer:
525cmlong the length of seeds
Question 13
What is the area, in square meters, of the figure below?
8 m
5 m
7 m
6 m
5 m
6 m
4m
7 m
Answer:
where is the figure
Step-by-step explanation:????
include why or why not pls help
Answer:
Yes.
Step-by-step explanation:
If you were to make a little box in the corner it would mean its a right angle (or if the angle is 90 degrees)
Plz help me!. Well mark brainliest if correct!
Answer:
Point W
Step-by-step explanation:
2
3
x +
1
2
y = 2
3
8
x +
5
6
y = −
11
2
Answer:
The answer is in the image below
Decide if the following situation is a rate or not. Why or why not.
You drive 50 miles in 2 hours.
Answer:
It is a rate,
A rate is the ratio between two related quantities in different units.
Miles and hours are two different units and its 50 miles per 2 hours.
What is the median of the given set of data? 1. 1. 5. 4. 3. 7. 2.9. 4, 8
Answer:
4
Step-by-step explanation:
Arrange in order
1,1,2,3,4,4,5,7,8,9
Cross off each number from each side little by little
1,2,3,4,4,5,7,8
2,3,4,4,5,7
3,4,4,5
4,4
There are two numbers left so we would find whats between them. But, since it is the same number, you just write the same one as the median.
median= 4
A wire of length 12½m is cut into 10 pieces of equal length. Find the length of each piece
Answer:
Each piece is 1.25m
Step-by-step explanation:
If you divide 12 1/2 by 10 you would get 1.25
Answer:
[tex] 1\frac{1} {4} \: m[/tex]
Step-by-step explanation:
Length of wire = 12½ m = 12.5 m
Number of pieces = 10
Length of each piece = 12.5/10= 1.25 m [tex] =1\frac{1} {4} \: m[/tex]
What is the answer to 8/12 = ?/3
Answer:
? = 3×8/12 = 24/12 = 2
Step-by-step explanation:
Here it is, it is correct.
Answer: (2) /3
Step-by-step explanation:
#1 Way: Solve by a proportion
Let x be the unknown number
Given
8/12=x/3
Cross-multiply
12x=24
x=2
Ans: (2)/3
----------------------------------------------------------
#2 Way: Look at the product between numbers
Given
8/12=?/3
From this, we can see the difference (quotient) between the known value 3 and 12 is 4, meaning 12÷3=4.
Applying the same factor, 8÷4=2
Ans: (2)/3
Hope this helps!! :)
Please let me know if you have any questions
Jamie placed $2800 in a savings account which earns 4.3% interest, compounded continuously. How much will she have in the account after 9 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Answer:
4123
Step-by-step explanation:
A=Pert,
where A is the balance of the account, P is the principal, r is the annual interest rate (as a decimal), and t is the time (in years). We are given that P=2800, r=0.043, and t=9. Substituting the values into the formula and using a calculator to evaluate, we find
A=Pert=2800e(0.043)(9)≈4123.16
