Answer: -16
Step-by-step explanation:
Let the number be y
Four times a number minus twenty-one can be written as:
(4 × y) - 21 = 4y - 21
Six times the number plus eleven can be written as:
(6 × y) + 11 = 6y + 11
Combining both equations will give:
4y - 21 = 6y + 11
4y - 6y = 11 + 21
-2y = 32
y = 32/-2
y = -16
The number is -16
I really need help with this, please help
Answer:
As the property of tangent line of circle, the 2 right triangles ABC and ADC are congruent.
=> AB = AD or j = k
j = 25x^2 + 100x + 9
k = 21x^2 + 100x + 18
=> 25x^2 + 100x + 9 = 21x^2 + 100x + 18
=> 4x^2 = 9
=> x^2 = 9/4 = (3/2)^2
=> x = 3/2 ( -3/2 value is not valid)
Hope this helps!
:)
Using modern methods, the first step in solving the quadratic equation x2 + 7x = 8 would be to put it in standard form by
Answer:subtracting 8 from both sides
Step-by-step explanation:
Answer:
The answer is C, subtracting 8 from both sides
Step-by-step explanation:
The second answer is A, -8
assuming youre on edg
What is the area of a regular hexagon with the radius of 8?
Answer:
The regular hexagon is made up of 6 equilateral triangles. Each has a side of 8 ft (the radius) Each area =8^2/4 sqrt 3 =16 sqrt 3 The hexagon's area =96sqrt3 sq ft
Step-by-step explanation:
Use a parameterization to find the flux ModifyingBelow Integral from nothing to nothing Integral from nothing to nothing With Upper S Bold Upper F times n d sigma of Bold Upper F equals z squared Bold i plus xj minus 4 z Bold k in the outward direction (normal away from the x-axis) across the surface cut from the parabolic cylinder zequals1minusysquared by the planes xequals0, xequals1, and zequals0.
Here is the correct interpretation of the question with the help of the text editor tool.
Use a parameterization to find the flux [tex]\int\limits \int\limits_s \ F. \ n \ d \sigma[/tex] of F = z²i + xj - 2zk in the outward direction
(normal away from the x-axis) across the surface cut from the parabolic cylinder z = 16 -y² by the planes x = 0 , x = 1, and z = 0 .
The flux is .
Answer:
[tex]-\frac{512}{3}[/tex]
Step-by-step explanation:
F(x,y,z) = (z² ,x , - 2z)
To find the flux across a surface : [tex]\int\limits \int\limits_s \ F. \ n \ dS = \int\limits \int\limits_D \ F. (r_u * r_v) \ dA[/tex]
The sphere z is given as = 16 -y², above x = 0 , x= 1, and z = 0
When z = 0 ⇒ 16 - y² = 0
⇒ y = ± 4
The parameterization is y=v⇒z= 16 -v² and x= u
⇒ r = (x,y, z) = ( u,v,16 - v²)
with 0 ≤ u ≤ 1 and -4 ≤ v ≤ 4
However the normal vector can now be determined as :
[tex]r_u = (1,0,0) , \ \ \ r_v = (0,1, - 2v)[/tex]
[tex]n = r_u*r_v = \left[\begin{array}{ccc}i&j&k\\1&0&0\\0&1&-2v\end{array}\right] = (0,2v,1)[/tex]
[tex]\int\limits \int\limits_s \ F. \ n \ dS = \int\limits \int\limits_D \ F. (r(u,v)) .(r_u*r_v)dA[/tex]
[tex]=\int\limits^1_0 \int\limits^4_{-4} [(16-v^2)^2 , u , -2 (16-v^2)](0,2v,1)dvdu[/tex]
[tex]=\int\limits^1_0 \int\limits^4_{-4} [2uv-2(16-v^2))dvdu[/tex]
[tex]=\int\limits^1_0 (uv^2 -32v+ \frac{2v^3}{3})^ ^4}__{-4}} du[/tex]
[tex]=\int\limits^1_0 (u(16-16)-32(8)+\frac{2}{3}(128))du[/tex]
[tex]= \int\limits^1_0 (-\frac{512}{3})du[/tex]
[tex]= - \frac{512}{3}(u)^ ^1}__0[/tex]
= [tex]-\frac{512}{3}[/tex]
The flux of a vector field across a surface is calculated by computing the surface integral of the vector field in the direction normal to the surface. This involves parametrizing the surface and taking antiderivatives based on the defined area. The direction of the flux is crucial as it determines the sign of the flux.
Explanation:To find the flux of the vector field upper Case Bold F across a surface, we need to compute the surface integral of upper Case Bold F in the given direction. For the given problem, the surface is defined by the parabolic cylinder z = 1 - y^2 and the planes x = 0, x = 1, z = 0. We parametrize this surface using two parameters x and y, with x ranging from 0 to 1, and y ranging from -1 to 1.
We then compute the surface integral by taking the antiderivative of the defined area with the boundaries of surface as the integral's bounds. This process might involve computation of multiple integrals if the surface is composed of multiple parts.
Note that the direction of the flux, which is normal away from the x-axis, is important for the calculation, as it determines the sign of the flux. The flux is positive if the angle between the vector field and the outward normal to the surface is less than 90 degrees, and negative otherwise.
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Which angles are supplementary to eachother
Answer:
14 and 15
Step-by-step explanation:
Divide 6.35 ÷ 1.57. Round the quotient to the nearest hundredth.
Answer:
4.45
Step-by-step explanation:
Answer:
4.04
Step-by-step explanation:
6.35/ 1.57= 4.044585987261146
round to nearest hundredth is where the 4 is located at so its 4.04
Jameson has $4,300 in credit card debt with 14% interest that he wants to pay off in 24 months. He will need to make monthly payments of $206.46 each month. Calculate the total cost of repayment and the interest Jameson will pay.
Answer:
The answer to this question can be defined as follows:
net paid interest = $ 655. 04
Total cost = $ 4955.04
Step-by-step explanation:
Given values:
loan amount = $ 4,300
monthly payment = $ 206.46
interest rate = 14 %
Time = 2 years
Solution:
yearly payment = one month amount × 12
1 year payment = $ 206.46 × 12
1 year payment = $2477.52
because Time is 2 year then payment is = $2477.52 *2
2 year payment = $ 4955.04
net interest paid = total payment - loan amount
= $ 4955.04 - $4300
= $ 655.04
total cost = $ 4955.04
net paid interest = $ 655.04
The total cost of repayment and the interest should be $4,955.04 and $655.04.
Calculation of the total cost and interest:Since
loan amount = $ 4,300
monthly payment = $ 206.46
interest rate = 14 %
Time = 2 years
Now
yearly payment = one month amount × 12
So,
= $ 206.46 × 12
= $2477.52
Now the two year payment should be
= $2477.52 *2
= $ 4955.04
Now
net interest paid = total payment - loan amount
= $ 4955.04 - $4300
= $ 655.04
hence, The total cost of repayment and the interest should be $4,955.04 and $655.04.
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Montel spends $ 0.75 each time he plays his favorite video game. If you have $ 10, write and solve an inequality to calculate how many video games you can play.
Brainliest and 25 points
Answer:
Inequality=0.75x∠10 Answer=13 or less
Step-by-step explanation:
Answer:
y=.75x (13 Times)
Step-by-step explanation:
y is the amount it will cost Montel to play the video game x amount of times, if Montel plays the game 2 times, 2x.75 is $1.50 so it would cost him $1.50 to play the game 2 times. However, we want to find how many times he can play with a $10 budget, so we must enter $10 as y and divide by .75 and we should get 13.33333. This means Montel will be able to play 13 times and will have 25 cents left over because 13 x .75 is $9.75
1/6 6% 3/5 60% 6/100 which two values are equivalent to 0.6
Answer:
3/5 and 60%
Step-by-step explanation:
60% = 60/100= 3/5 =0.6
The two values which are equivalent to 0.6 are;
⇒ 3/5 , 60%
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The numbers are,
⇒ 1/6 , 6%, 3/5, 6/100
Now,
Solve the numbers for the values are equivalent to 0.6 as;
A. 1/6 = 0.16
B. 6% = 6/100
= 0.06
C. 3/5 = 0.6
D. 60% = 60/100
= 0.6
E. 6/100 = 0.06
Thus, The two values which are equivalent to 0.6 are;
⇒ 3/5 , 60%
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What is the value of x?
Answer:
x=2
Step-by-step explanation:
We will use the secant-secant Formula:
(whole secant) x (external part) = (whole secant) x (external part)
(1+x+4) * (x+4) = (11+x+1) * (x+1)
Combine like terms
(x+5) (x+4) = (x+12) (x+1)
FOIL
x^2 + 4x+5x + 20 = x^2 + x+ 12x + 12
Combine like terms
x^2 + 9 x + 20 = x^2 + 13 x + 12
Bring everything to the left
x^2 + 9 x + 20- (x^2 + 13 x + 12) = x^2 + 13 x + 12-( x^2 + 13 x + 12)
x^2 + 9 x + 20- (x^2 + 13 x + 12) =0
Distribute the minus sign
x^2 + 9 x + 20- x^2 - 13 x - 12 =0
Combine like terms
-4x +8 = 0
Subtract 8 from each side
-4x+8-8=0-8
-4x=-8
Divide each side by -4
-4x/-4 = -8/-4
x=2
Point O is the center of this circle. What is m
A.) 56
B.) 62
C.) 72
D.) 76
Answer: its b. i suck at explaining so sorry lol but its b
Please help me now plz
I will mark you brainliest
Answer:
x= 12 units.
Step-by-step explanation:
To solve this equation, we can find each half of the base using the Pythagorean theorem. We will use 'x' as denoting each HALF of the base:
45= 3²+x²
Subtracting from both sides will give us:
36= x²
x=6.
However, the base in this problem is '2x' because 'x' is HALF of the base.
2(6)= 12 units.
Store A sells a case of 18 bottles for $10. Store B sells a case of 12 bottles for $6. Which store sells the drinks for less?
Answer:
The answer is store A
Step-by-step explanation:
Since its simple to see 12 is divisible by 6. It equals 2. So the store sells each bottle for 2 dollars. Store A on the other hand is a little difficult but the same thing just divide 18 by 10 to get your outcome of 1.8
pleaseeee helppppp me I'm dumbbbb
Answer:
-12
(someone check)
Answer: -12
Step-by-step explanation:
|-16|=16, (-2)^2=4, 4^2=16
So, (16÷4) -16 = -12
Help. help and I gonna give prainliest
Answer: $585
Step-by-step explanation:
Find the area of the trapezoid (Area: 117 sq ft)
Multiply the area by 5 because each square feet is $5
And vola your answer!
Find the area of the shaded region. Round to the nearest tenth.
Answer:
3.5 square cm
Step-by-step explanation:
[tex]Area \: of \: both \: squares \\ = {2}^{2} + {3}^{2} \\ = 4 + 9 \\ = 13 \: {cm}^{2} \\ \\ Area \: of \: both \: right \: \triangle s \\ = \frac{1}{2} \times (2 + 3) \times 2 + \frac{1}{2} \times3 \times 3 \\ = 5 \times 1+ 1.5 \times 3 \\ = 5 + 4.5 \\ = 9.5 \: {cm}^{2} \\ \\ Area \: of \:shaded \: region \\ = Area \: of \: both \: squares\\ - Area \: of \: both \: right \: \triangle s \\ = 13 - 9.5 \\ \purple { \boxed{ \bold{Area \: of \:shaded \: region = 3.5 \: {cm}^{2} }}}[/tex]
NEED HELP ASAP!!!! WILL GIVE BRAINLIEST!!
Answer:
1st one the other 2 are linear
Answer:
the first one
Step-by-step explanation:
the other two are linear.
Sally likes to collect coins.Sally got 37 coins from her brother 21 coins from her month era as well 22 coins from Benny however sally lost 32 coins before putting those coins into her piggy bank how many coins does sally have in her piggy bank
Answer: Sally has 48 in her piggy bank
Step-by-step explanation:
Hi, to answer this question, first, we have to add the coins given to Sally:
37 +21 +22 = 80
Since she lost 32 coins before putting those coins into her piggy bank, we have to subtract that number to the total number of coins collected.
80-32 = 48 coins
Sally has 48 in her piggy bank
Feel free to ask for more if needed or if you did not understand something.
Use the earnings statement below to calculate the total percentage of income for taxes. To the nearest one percent, the percentage of gross income going to taxes and FICA is: 44% 31% 69% 11%
Answer: 31%
Step-by-step explanation: We need to find the amount deducted from the check which is $101.15. Keep in mind that this is the amount DEDUCTED, so if we add it to the net pay we will get the full amount which is $330.
Now we can do some math.
101.5 x 100 / 300 = 30.6515152% or 31%
The percentage of gross income going to taxes and FICA will be 38.75%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
To the nearest one percent, the percentage of gross income going to taxes and FICA is: 44% 31% 69% 11%
P = [(0.44 + 0.31 + 0.69 + 0.11) / 4] x 100
P = (1.55 / 4) x 100
P = 0.3875 x 100
P = 38.75%
The percentage of gross income going to taxes and FICA will be 38.75%.
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Help pls
Slope from graph
what is the value of p
13²=p
Answer:
169
Step-by-step explanation:
13 to the 2nd power is 169
hope this helps!!
p.s. could you please help me with my recent question??
It takes 8 hours for 4 men to paint a room.
How many men would be needed to paint the room in 2 hours?
Answer:
16 men would be needed to paint the room in 2 hours
Step-by-step explanation:
We can use proportion to solve the problem given, but first we need to determine whether it is a direct or indirect proportion.
If the number of men are increase, the time taken to do the work will decrease, If the number of men are decrease, the time taken to do the work will increase. Therefore, this is an indirect proportion.
We are going to arrange the data inversely.
Let x be the number of men needed to paint the room in two hours
8 hours = 2 hours
x = 4 men
Cross-multiply
2×x = 8×4
2x = 32
Divide both-side of the equation by 2
2x/2 = 32/2
x = 16 men
16 men would be needed to paint the room in 2 hours
Find the surface area of the cube shown below.
Answer:
37.5 or 37 1/2
Step-by-step explanation:
The formula for finding surface area in a cube is A=6a^2
substituting 2.5 instead of a will result in this equation. A=6(2.5)^2
solving algebraically will then get you to your answer of 37.5
Answer:
S.A. = 37.5Step-by-step explanation:
Each cube has six faces. All faces are congruent and each of them is a square.
The fromula of an area of a square is:
[tex]A=s^2[/tex]
s - length of a side of a square
We have
[tex]s=2\dfrac{1}{2}[/tex]
Convert it to a decimal
[tex]s=2\dfrac{1}{2}=2.5[/tex]
Substitute to the formula of an area of a square:
[tex]A=(2.5)^2=(2.5)(2.5)=6.25[/tex]
The Surface Area of a cube:
[tex]S.A.=6A[/tex]
Substitute:
[tex]S.A.=6\cdot6.25=37.5[/tex]
Which algebraic expression has like terms? 9 n cubed minus 2 n + 3 minus 4 n squared 7 n cubed + 3 n minus 3 minus 6 n squared 7 n cubed + 4 n minus 3 n cubed minus 5 n squared 6 n cubed minus 4 n Superscript 4 Baseline + 6 n minus 5 n squared
Answer:
answer is c
Step-by-step explanation:
correct me if im wrong but it should be
Answer:
i believe its C
Step-by-step explanation:
The radius of a circle is 3.8 feet find the diameter
Answer:
7.6 feet
Step-by-step explanation:
The radius of a circle is halfway through. The diameter is the full way through. So what you do is multiply the radius by two. In this case, it's 3.8*2.
Answer:
7.6 ft
Step-by-step explanation:
The diameter of a circle is 2 times the length of the radius.
The formula to find the diameter is
d=2r
d= diameter
r= radius
Since the radius of this circle is 3.8, when multiplied by its self, it is 7.6 feet.
I hope this helped! :)
Line segment BD is a diameter of circle E.
Circle E is inscribed with triangle B C D. LIne segment B D is a diameter. Line segments D C and C B are secants. Angle D B C is 51 degrees.
What is the measure of arc B C?
39°
78°
102°
129°
Answer:
78 degrees
Step-by-step explanation:
Mainly because the measure of the arcs intercepted by the interior angles equals 2 times those interior angles.
so arc DC = 2 * angle DBC = 2 * 51 degrees = 102 degrees.
We also see that because BD is a diameter the angle BCD that intercepts it is 90 degrees because half-circle arc BD = 2 * angle BCD
180 degrees = 2 * angle BCD
also we want arc BC.
we know that the total circle is the sum of all 3 arcs.
arc BC + (half-circle) arc BD + arc DC = 360 degrees
arc BC + 180 + 102 = 360 degrees.
arc BC = 360 - 180 - 102 = 78 degrees
how many 1/3 inch cubes can fit into a 2 inch cube?
Answer: 6
Step-by-step explanation: 2 / 1/3 = 6
Final answer:
To find out how many 1/3 inch cubes can fit into a 2 inch cube, calculate the volume of both cubes and divide the larger volume by the smaller. The result is 216 such cubes can fit into a 2 inch cube.
Explanation:
To determine how many 1/3 inch cubes can fit into a 2 inch cube, we first need to calculate the volume of the larger cube, which is 2 inches x 2 inches x 2 inches = 8 cubic inches. Next, we calculate the volume of the smaller cube which is (1/3 inch) x (1/3 inch) x (1/3 inch) = 1/27 cubic inch. To find how many smaller cubes fit into the larger one, we divide the volume of the larger cube by the volume of the smaller cube: 8 cubic inches / (1/27) cubic inch = 216. Therefore, 216 smaller cubes, each 1/3 inch on a side, can fit into a 2 inch cube.
PLEASE HELP!!!!!! WILL MARK CORRECT ANSWER BRAINLIEST!!!!!!!!!!!!!!
Solve a triangle with b =7, c =10, and a=51 degrees. Round to the nearest tenth.
Answer:
a=7.8
<C=84.8°
<B=44.19
Step-by-step explanation:
Answer:
Step-by-step explanation:
What it means to "solve for a triangle" is to basically find ALL the missing parts, which in this case, are the lengths.
You are given the angles of the triangle, which we can use to help find the lengths.
By using sin, cos, and tan we can find the missing lengths
** quick side note, an easy way to remember how to use sin, cos, tan is SOH CAH TOA. In other words "for sine, multiply the opposite and hypotenuse, for cosine, multiply adjacent and hyp., and for tan, multiply opposite and adj.
start w/ solving for an angle (it doesn't matter which one but ill do A)
Bc you aren't given any side lengths, you have it a little easier by having to only use one method of SOH CAH TOA to solve. The method is sine
Using your calculator, type in sin(degree) or sin(51), and you should get
= 0.777145 OR 0.8
** make sure your calculator is is DEGREES not RADIANS
Now do this for the rest of the angles:
sin(7)= 0.1
sin(10)= 0.2
You have all the lengths (0.8, 0.1, 0.2) add them together to find the perimeter and if you want to find the area use Bh/2. But to find the area you must have a height, which you don't have
To find the height use formula: sqrt/( S(S-A)(S-B)(S-C)
A, B, C are the sides you've found using sine, and S is 1/2( A+B+C) or fast math is 0.55.
Plug in the values and solve :)
PLEASE HELP!!! exchange for my snpcht
A game show host offers to give you one penny on the first day, 2 pennies on the second day, 4 pennies the third day, and so on for the next 25 days.
Is this geometric or arithmetic?
How much money will you have at the end of the 25 days?
Answer:
it's geometric
Step-by-step explanation:
geometric equations change by a rate witch means you multiply to get to the next number in the sequence
arithmetic you add to get to the next number in the sequence
Answer:
Geometric
$335,544.31
Step-by-step explanation:
1, 2, 4, ..
This is Geometric progression with:
First term: 1
Common ratio: 4/2 = 2
S25 = 1(2²⁵-1)/(2-1) = 33,554,431
33,554,431 pennies or
33,554,431/100 = $335544.31
7/4y=-(2x-7) slope intercept form
Answer:
y = -8/7x +4
Step-by-step explanation:
7/4y=-(2x-7)
Distribute the minus sign
7/4y=-2x+7
Multiply each side by 4/7
4/7*7/4y=4/7*-2x+7*4/7
y = -8/7x +4
Answer:
y = -8/7x + 4
Step-by-step explanation:
1) First remove the parentheses
7/4 y = -2x + 7
2) Then multiply by 4 to get rid of the denominator
7y = -8x +28
3) Now divide by 7 on both sides, this way you'll isolate the y variable on the left side
y = -8/7x +4
ask me questions if u have any