Answer:
(B) 39°
Step-by-step explanation:
30° + 24° + (3x -9°) = 180°
3x = 180° - 30° - 24° + 9°
3x = 117°|:3
x = 39°
For vectors u = i + 6j, v = 5i – 3j, and w = 9i – 2j, determine u • w + v • w.
27
18
90
48
Answer:
This is the explanation you can find answer by rolling it.1. A is a quadrilateral with exactly one
pair of parallel sides.
write the exact value of the side length of a square with the given area. if the exact value is not a whole number, estimate the length.
100 square units
95 square units
36 square uits
30 square unts
the sum of 3 times mand 4 times m
Answer:
7mStep-by-step explanation:
Given ,
Sum of 3 times m = 3m
And 4 times m = 4m
Hence,
Sum is = 3m + 4m = 7m (Ans)
abby went to the movies and buy a large container of popcorn. The popcorn container can be modeled by a right circular cone with a diameter of 9 inches and a height of 10 inches. Popcorn has a density of 34 ounces per cubic foot. If a continer of popcorn costs $8, what is the price per ounce
Answer:
$1.918
Step-by-step explanation:
The volume of a right circular cone is obtained using the formular :
V = 1/3πr²h
From the question:
Diameter = 9 inches ; height = 10 inches
Radius = diameter /2 = 9/2 = 4.5 inches
V = 1/3*π*4.5²*10
V = 211.95 in³
Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³
Density of popcorn = 34 ounces / ft³
Density of popcorn CONTAINER = x
1 ft³ = 34 ounce
0.12265625 ft³ = x
Cross multiply
x = 34 * 0.12265625 ft³
x = 4.1703125 ounce
Hence, popcorn continer has a density of 4.1703125 ounce
If price per container = $8
The price per ounce = $8 / 4.1703125
= $1.918
Hence, price per ounce is $1.918
What is the square root of -1?
HELP ASAP I WILL GIVE BRAINLIST
Population in a Small Town, USA was 587 in 1970. The populations increased by 3% annually. Show and explain all work.
a. Write the exponential growth function to represent this function.
b. What will the population be in 2022? Round your answer to the nearest person
Answer:
A: the function is 537(0.3x)
B: so we just plug in the numbers where x is that amount of years so
52 years from 1970 so 2022
537(1.56)
x=837.72
so the answer is 838
Hope This Helps!!!
(4-2)^2x5+9
Answer+step by step
Answer:
4-2 = 2
2x5+9 = 19
2^19 = 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 = 524288
Answer:
29
Step-by-step explanation:
Use PEMDAS
P- Parenthesis
E- Exponents
M- Multiply
D- Divide
A- Add
S- Subtract
(4-2)^2×5+9 first you do parenthesis which is (4-2)=2
(2)^2×5+9 next the exponents (2)^2=4
4×5+9 now the multiplication, 4×5=20
20+9 And now finish it off with the addition
So the answer ends up being 29.
What is the name of the shape depicted in the graph below?
A. Limaçon
B. Lemniscate
C. Rose
D. Cardioid
Answer: Lemniscate
Step-by-step explanation:
The name of the shape depicted in the graph is Lemniscate option (B) is correct.
What is lemniscate?It is defined as a two-dimensional shape that has a two-closed curve that meets at the center. The shape exactly looks like a mathematical symbol infinity ∞
The lemniscate is a Greek word that means a ribbon because the shape looks like a ribbon.
The algebraic equation for the lemniscate is given by:
[tex]\rm \left(x^{2}+y^{2}\right)^{2}=a \left(x^{2}-y^{2}\right)[/tex]
Where a is the constant.
If we put x = 0 and a = 1 we get y = 0
If we put x = 1 and a = 1 we get y = 0
If we put x = -1 and a = 1 we get y = 0
And so on we will get a curved shape shown in the picture.
Thus, the name of the shape depicted in the graph is Lemniscate option (B) is correct.
Learn more about the lemniscate here:
https://brainly.com/question/12478682
who is popularly known as the father of economics
Answer:
Adam smith
he is known as father of economics.
hope it helps
Answer:
Adam Smith
Step-by-step explanation:
An infinite sheet of charge, oriented perpendicular to the x-axis, passes through x = 0. It has a surface charge density ?1 = -4.6 ?C/m2. A thick, infinite conducting slab, also oriented perpendicular to the x-axis occupiees the region between a = 2.8 cm and b = 4.5 cm. The conducting slab has a net charge per unit area of ?2 = 60 ?C/m2.
1) What is Ex(P), the value of the x-component of the electric field at point P, located a distance 6.3 cm from the infinite sheet of charge?N/C 2)
2) What is Ey(P), the value of the y-component of the electric field at point P, located a distance 6.3 cm from the infinite sheet of charge?N/C 3)
3) What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1.4 cm from the infinite sheet of charge?N/C 4)
4) What is Ey(R), the value of the y-component of the electric field at point R, located a distance 1.4 cm from the infinite sheet of charge?N/C 5)
5) What is b, the charge per unit area on thesurface of the slab located at x = 4.9 cm??C/m2 6)
6) What is Ex, the value of the x-component of the electric field at a point on the x-axis located at x = 3.64 cm ?N/C 7)
7) What is ?a, the charge per unit area on the surface of the slab located at x = 2.8 cm??C/m2 8)
Please help image attached
Answer:
hope it helps mark as brainliest
Find the perimeter of this quarter circle with radius,
r
= 2mm.
Give your answer as an expression in terms of
π
.
Answer:
pi
Step-by-step explanation:
First find the circumference of the circle
C = 2 * pi*r
C = 2 * pi *2
C = 4pi
A quarter circle is 1/4 of a circle
1/4 C = 1/4 (4pi)
1/4C = pi
Which expression is equivalent to 5^6?
80ft
18ft
what is the length of the hypotenuse in feet?
Answer:
Solution given:
perpendicular [P]=80ft
base[B]=18ft
hypotenuse [H]=?
By using Pythagoras law
H²=P²+B²
H²=80²+18²
H=[tex]\sqrt{6724}=82[/tex]
the length of the hypotenuse in feet is 82ft.
a graph of a non-vertical straight line is a?
a) nonlinear function
b) exponential function graph
c) non-function
d) linear function
Answer:
The correct answer is d
Step-by-step explanation:
A graph of a non-vertical straight line is a linear function
Please help is for now 6
Answer:
-2g-11
Step-by-step explanation:
2(3g-4)-(8g+3)
6g-8-8g-3
-2g-11
Can someone please help me with this I'm really stuck!!!
Answer:
we use side of triangle to find area and divide by 2 so first one is 15*15+ 8*15/2 225+60=285
What is the end behavior of (x, 1) and (5x, -3)?
Answer:
The leading term is 5x8. Since n is even and a is positive, the end behavior is down and up.
Janice wants to find the area of a square tabletop. She uses the formula for the area of a square: A=8x2 where 8 is the length of one side of the square .if 8=3 feet what is the area of the tabletop?
Answer:
12
Step-by-step explanation:
because you replace 8 with 3
3. Use a table of values to solve f(x) = g(x), where f(x) = x2^ – 8x - 15 and g(x) = - 4x + 6. Show your table
and your work.
Answer:
Step-by-step explanation:
[tex]f(x) = g(x)\\\\x^2 - 8x -15 = -4x +6\\\\x^2 - 8x -15 +4x -6 = 0\\\\x^2 -4x -21 = 0\\\\x^2 -7x + 3x -21=0\\\\x(x-7)+3(x-7)=0\\\\(x+3)(x-7)=0\\\\x= -3, 7[/tex]
x = -3 , 7
Step-by-step explanation:f (x) = g(x)
x ² − 8x −15 = −4x + 6
x ² − 8x − 15 + 4x − 6 = 0
x ² −4x−21 = 0
x ² −7x + 3x −21 = 0
x ( x − 7 ) + 3( x − 7 ) = 0
( x + 3 ) ( x − 7 ) = 0
x = −3, 7
5690 as standard form
Answer:
It already is in standard form btw
Step-by-step explanation:
Answer:
5690 is standard form
five thousand six hundred ninety is word form
5000+600+90 is expanded form
hope this helps
have a good day :)
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Mira inserts a key into a keyhole to open the door. She turns the key through 156 one-degree angles.
What is the angle measure of the turn that the key made?
9514 1404 393
Answer:
156° or 13π/15 radians
Step-by-step explanation:
156 times 1° is 156°.
In radians, the angle measure is (156°)(π/180°) = 13π/15 radians.
how can i solve the following
4x-3=2x+7
Answer:
x = 5
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.
Add 3 and subtract 2x from both sides of the equation:
4x (-2x) - 3 (+3) = 2x (-2x) + 7 (+3)
4x - 2x = 7 + 3
2x = 10
Next, isolate the x by dividing 2 from both sides of the equation:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
~
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
Subtract 2x from each side
4x-2x-3=2x-2x+7
2x -3 = 7
Add 3 to each side
2x-3+3=7+3
2x = 10
Divide by 2
2x/2 =10/2
x = 5
II. We learned in Exercise 3.25 that about 70% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty 18-20 year olds. (a) How many people would you expect to have consumed alcoholic beverages
Answer:
You would expect for 35 people to have consumed alcoholic beverages.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they consumed alcoholic beverages, or they did not. The probability of a person having consumed alcoholic beverage is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
We learned in Exercise 3.25 that about 70% of 18-20 year olds consumed alcoholic beverages in 2008.
This means that [tex]p = 0.7[/tex]
We now consider a random sample of fifty 18-20 year olds.
This means that [tex]n = 50[/tex]
How many people would you expect to have consumed alcoholic beverages
[tex]E(X) = np = 50*0.7 = 35[/tex]
You would expect for 35 people to have consumed alcoholic beverages.
Solve the inequality -3x+1 <7?
x > -2
x < -2
x > 2
Pls help meeeee
Answer:
x<-2 ^;;:%%^^^::"%%^::::%^&&;::%^^^;::^^^&;;:%^_
this please help me
9514 1404 393
Answer:
y = 2·3^x
Step-by-step explanation:
The shape of the graph appears exponential. The horizontal asymptote appears to be y=0, so there is no vertical offset. The y-intercept seems to be 2 (we can't really read the numbers), and the y-value seems to increase by a factor of 3 for each additional unit of x.
The multiplier is 2, and the base of the exponential factor is 3. That gives us ...
y = 2(3^x)
FIND THE LENGTH of X triangle (Look at picture easy and brainlest)
Answer:
resizing by the factor of 5/7
x = 3.5 * 5/7
= 17.5/7
= 2.5
side lengths and angle measures in similar figures
Step-by-step explanation:
You can see the full detailed explanation in the attached files
I really need help! Please find the area of the polygon?
Answer:can you help me
write a letter to your friend about important of reading books?
Answer:
Area = 189 m^2
Step-by-step explanation:
This is a trapezium with height h=9m, base, b = 24, top, t = 18.
The area is given by
A = (base+top)*height/2
= (24+18)*9/2
= 189 m^2
