Answer:
The number is 5
Step-by-step explanation:
A number is multiplied by 8 = 8x
8x + 2
8x + 2 = 42 Subtract 2 from both sides
- 2 -2
8x = 40 Divide by 8
x = 40/8
x = 5
Three times the sum of a number and 18 is at least-30
Answer:
the sum of the number is 16 and it is al least 20 points
Define diameter and radius of a circle with a diagram
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
Radius : a straight line from the centre to the circumference of a circle or sphere.Diameter : a straight line passing from side to side through the centre of a body or figure, especially a circle or sphere.(Diagram attached)
Hope it helps!
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the full segment of half of the circle is diameter and half segment us called radius
Which of the following sets refer to vertical angles from the diagram?
Lines and Angles
Question 29 options:
∠AOB and ∠BOC
∠BOF and ∠HOD
∠BOD and ∠HOD
∠COD and ∠HOG
Angle ∠COD and angle ∠HOG are vertically opposite angles. Then the correct option is C.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
The diagram is given below.
Angle ∠COD and angle ∠HOG are vertically opposite angles.
Hence, Angle ∠COD and angle ∠HOG are congruent.
Then the correct option is C.
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HELP ME !!!
Point M is the midpoint of AB. AM = 3x +3, and AB = 82
What is the length of AM?
Enter your answer in the box.
units
Answer:
if m is the midpoint of AB
then,AM will be equal to MB
Therefore,
[tex]3x + 3 + 3x + 3 = 82 \\ 6x + 6 = 82 \\ 6x = 82 - 6 \\ 6x = 76 \\ x = \frac{76}{6} = \frac{38}{3} \\ \\ |am| = 3x + 3 \\ \: \: \: = 3( \frac{38}{3} ) + 3 \\ = 38 + 3 \\ = 41[/tex]
Synthetic Substitution
(x+y)(x^2-xy+y^2)
Answer:
x^3 - y^3
Step-by-step explanation:
find the measure of the missing angles…
Answer:
Angle e = 35 degrees
Angle f = 180-35-109 = 36 degrees
Angle d = 109 degrees
Step-by-step explanation:
I’m so confused what is answer to the value of x HELPPP
Answer:
x=5/2 or 2.5
Step-by-step explanation:
See the image for solution
Hope it helps
Have a great day
Answer:
2.5 or 5/2
Step-by-step explanation:
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other - in other words, separated by the crossing point of the two lines, and not by the lines themselves.
that also means that they are equal.
and so,
8x + 15 = 4x + 25
4x = 10
x = 10/4 = 5/2 = 2.5
Could 3, 6 and 8 represent the lengths of the sides of a right triangle?
A. Yes, because the sum of the squares of the legs does equal the sum of the square of the hypotenuse.
B. No, because the sum of the square of the legs does not equal the square of the hypotenuse.
C. No, because the sum of the sides does not equal the hypotenuse.
D. Yes, because the sum of the legs does equal the hypotenuse.
Answer:
Step-by-step explanation:
No because the sum of the two shorter legs does not equal the square of the hypotenuse.
3^2 = 9
6^2 =36
8^2 =64
9 and 36 do not equal 64
g The weight of golden hamsters follows a normal distribution with a mean weight of 4.3 ounces and a standard deviation of 0.25. What is the probability that a randomly chosen hamster weighs less than 4.4 ounces
Let X be the random variable representing the weight of a hamster. Transform X to Z, which follows the standard normal distribution. We have
P(X < 4.4) = P((X - 4.3)/0.25 < (4.4 - 4.3)/0.25) = P(Z < 0.4) ≈ 0.6554
Which graph represents the function below?
h(x)= {-3x+2, x ≤ 2}
{1/2x -4, x > 2}
Answer is the third graph it was just an error..
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate the flux of F across S. F(x, y, z) = (x3 + y3)i + (y3 + z3)j + (z3 + x3)k, S is the sphere with center the origin and radius 3.
By the divergence theorem, the flux of [tex]\vec F[/tex] across S is equal to the volume integral of [tex]\mathrm{div}(\vec F)[/tex] over the interior of S.
We have
[tex]\vec F(x,y,z) = (x^3+y^3)\,\vec\imath + (y^3+z^3)\,\vec\jmath + (z^3+x^3)\,\vec k \\\\ \implies \mathrm{div}(\vec F) = \dfrac{\partial(x^3+y^3)}{\partial x} + \dfrac{\partial(y^3+z^3)}{\partial y} + \dfrac{\partial(z^3+x^3)}{\partial z} = 3(x^2+y^2+z^2)[/tex]
so that
[tex]\displaystyle \iint_S \vec F(x,y,z)\cdot\mathrm d\vec s = \iiint_T \mathrm{div}(\vec F)\,\mathrm dV = 3 \iiint\limits_{x^2+y^2+z^2\le3} (x^2+y^2+z^2)\,\mathrm dx\,\mathrm dy\,\mathrm dz[/tex]
To compute the volume integral, convert to spherical coordinates with
x = ρ cos(θ) sin(ϕ)
y = ρ sin(θ) sin(ϕ)
z = ρ cos(ϕ)
so that
ρ ² = x ² + y ² + z ²
dx dy dz = ρ ² sin(ϕ) dρ dϕ dθ
The region T is the interior of the sphere S, given by the set
[tex]T = \left\{(\rho,\theta,\phi) \mid 0\le\rho\le3 \text{ and } 0\le\phi\le\pi \text{ and }0\le \theta\le2\pi\right\}[/tex]
So we have
[tex]\displaystyle 3 \int_0^{2\pi} \int_0^\pi \int_0^3 \rho^4 \sin(\phi) \,\mathrm d\rho \,\mathrm d\phi \,\mathrm d\theta \\\\ = 6\pi \left(\int_0^\pi \sin(\phi)\,\mathrm d\phi\right) \left(\int_0^3 \rho^4 \,\mathrm d\rho\right) = \boxed{\frac{2916\pi}5}[/tex]
The required surface integral S, and flux across F·dS; that is [tex]\dfrac{2916\pi }{5}[/tex]
Given that,
Function;[tex]F(x, y, z) = (x^3 + y^3)\vec{i} + (y^3 + z^3)\vec{j} + (z^3 + x^3)\vec{k},[/tex]
S is the sphere with center the origin and radius 3.
We have to determine,
Use the Divergence Theorem to calculate the surface integral S, F.dS that is, calculate the flux of F across S.
According to the question,
By the divergence theorem, the flux of [tex]\vec{F}[/tex]across S is equal to the volume integral of [tex]div(\vec{f})[/tex] over the interior of S.
S is the sphere with center the origin and radius 3.
Therefore,
[tex]F(x, y, z) = (x^3 + y^3)\vec{i} + (y^3 + z^3)\vec{j} + (z^3 + x^3)\vec{k},\\\\= div\vec({F}) = \dfrac{d(x^3+y^3)}{dx} + \dfrac{d(y^3+z^3)}{dx} + \dfrac{d(z^3+x^3)}{dx} = 3(x^{2} + y^{2} + z^{2} )\\\\Then,\\\\\int \int_S \vec{F}(x, y, z) . \vec{ds} = \int \int \int _T div\vec{F}dV= 3 \int \int\int (x^{2} + y^{2} + z^{2} )dx.dy.dz[/tex]
To compute the volume integral, convert to spherical co-ordinate,
[tex]x = p\ cos\theta\ sin\phi\\\\y = p \ sin\theta \ sin\phi\\\\z = p\ cos\phi\\\\[/tex]
Therefore,
[tex]p^2 = x^{2} + y^{2} +z^{2} \\\\dx.dy.dz = x^{2} \ sin\phi \ dp\ d\phi \ d\theta[/tex]
The region T is the interior of the sphere S is given by the set,
[tex]T = {[ p,\theta,\phi}] | \ (0\leq p\leq 3 \ and \ \ 0\leq \phi \leq \pi \ and \ 0\leq 0\leq 2\pi )[/tex]
Then,
[tex]= 3 \int^2_0 \int^\pi _0 \int^3_0 p^4. sin(\phi). dp.d\phi .d\theta\\\\= 6\pi ( \int^\pi _0 sin(\phi).d\phi) (\int^3_0 p^4dp\\\\= \dfrac{2916\pi }{5}[/tex]
Hence, The required surface integral S, F·dS; that is [tex]\dfrac{2916\pi }{5}[/tex]
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HELP ME OUT PLZZZZZZ
Answer:
x=5
JK = 40 units
Step-by-step explanation:
JM=MK since the have the little red line which shows they are equal
7x+5 = 8x
Subtract 7x from each side
7x+5 -7x= 8x-7x
5 = x
JK = 7x+5 = 7(5)+5 = 35+5 = 40
The graph of y = Vx is translated 3 units to the left and 4 unitsdown.
What is the equation of the graph that results from this translation?
The equation of the graph after translation is y'' = √ ( x + 3 ) - 4
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
Given data ,
Let the equation of graph be represented as y
Now , the value of y is
y = √x
And , after a translation of graph by 3 units to the left , we get
y' = √ ( x + 3 )
Now , the translation of 4 units down is given by
y'' = y' - 4
y'' = √ ( x + 3 ) - 4
Hence , the translated equation is y'' = √ ( x + 3 ) - 4
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Please find value of x
Answer:
x=140⁰
Step-by-step explanation:
80+50=130
180-130=50
50+30=80
360-80=
280/2
=140
What is the measure of angle 1?
Answer:
Angle 1 is 129
Step-by-step explanation:
You do not need to solve the (3x+3) because you can see that these lines are parallel, so you can simply do 180-51 to get angle 1.
ME has the endpoints of M(-6,4) and E (5,-2) find the midpoint and distance of ME
Answer:
(-0.5, 1)- the midpoint, the distance is sqrt157
Step-by-step explanation:
The midpont is O
x0= (-6+5)/2= -0.5
yo= (4-2)/2=1
(-0.5, 1)
The distance is sqrt ((5-(-6))^2+(-2-4)^2)=sqrt 157
Two trucks leave a warehouse at the same time. One travels north at an average speed of 58miles per hour, and the other travels south at an average speed of 64miles per hour. After how many hours will the two trucks be 488 miles apart?
Answer:
4 hours
Step-by-step explanation:
After 4 hours, the north-bound truck will have traveled 232 miles and the south-bound truck will have traveled 256 miles. 232 + 256 = 488 miles.
The temperature outside dropped 13 degress in 7 hours. The final temperature was -2 degrees. What was the starting temperature
Answer:
11 degrees
Step-by-step explanation:
13-2=11.
A light aircraft travels 6 miles per hour less than three times the speed of a van. If the van can travel 72 miles in the same time it takes the aircraft to travel 204 miles, then what is the average speed of each?
Answer:
Van: 36 mph.
Plane: 102 mph.
Step-by-step explanation:
x = speed of van
y = common time value
(3x - 6) * y = 204 // plane
x * y = 72 // van
3xy - 6y = 204 // plane simplified
We can now substitute 72 for xy in the equation above.
3*72 - 6y = 204 --> 216 - 6y = 204
We now subtract 216 from both sides.
-6y = -12
We now divide both sides by -1 to get rid of the negative sign & then divide both sides by 6 to simplify.
y = 2
If x*y = 72, then x = 72/y = 72/2 = 36.
Thus, the speed of the van is 36 mph.
We can find the speed of the plane by using the equation from earlier, 3x - 6.
3x - 6 = 3*36 - 6 = 108 - 6 = 102.
what is the vertex of y<∣x−3∣+5
Answer:
(3, 5)
Step-by-step explanation:
The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.
Answer equation in photo, show work please and thanks
Answer:
19
Step-by-step explanation:
There are 38 points total, each field goal is 2 points.
If we do 38/2 we get 19.
Image has work...
[tex]\frac{38}{2}[/tex]
Which decimals are equivalent to(5 x 10)+( 2 x 1/100)select all that apply.
The sun is about 93 x 10 6 miles from earth. What’s is this distance written as a whole number
This distance would be written as a whole number as 93,000,000.
Anyone know the answer with explanation please I would appreciate it!
Answer:
[tex]\displaystyle QR = 12[/tex]
Step-by-step explanation:
First, it's never a bad idea to draw the line and see what it looks like! This is shown below (not to scale).
We are given that PS = 18 and PR = 15, and we want to determine QR.
PS is the sum of PR and RS:
[tex]\displaystyle PS = PR + RS[/tex]
Substitute:
[tex]\displaystyle (18) = (15) + RS[/tex]
Solve for RS
[tex]\displaystyle RS = 3[/tex]
Since RS ≅ PQ:
[tex]\displaystyle RS = PQ = 3[/tex]
PS is also the sum of PQ, QR, and RS. Hence:
[tex]PS = PQ + QR + RS[/tex]
Since PS = 18 and RS = PQ = 3:
[tex](18) = (3) + QR + (3)[/tex]
Solve for QR:
[tex]QR = 12[/tex]
In conclusion, QR measures 12 units.
Which expression does this power represent?
109
10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9
10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9 × 10 × 9
10 × 9
9514 1404 393
Answer:
(a) 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
Step-by-step explanation:
You may recall that we use a multiplier to signify repeated addition:
x + x + x = 3x
In a similar way, we use an exponent to signify repeated multiplication:
10 × 10 × 10 = 10³
__
The exponent 9 in 10⁹ means the factor 10 appears 9 times in the product:
10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10⁹
Answer:
a 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10
Step-by-step explanation:
which which division problem does the diagram below best illustrate? 60 points
Answer:
If the diagram is 8 ovals with 4 squares each, and we know that this is a division,
then we have that an unknown number X is such that:
X/4 = 8 this is because we know that the division is by 4 (the number of squares in each oval) and the solution of the division is the number of ovals.
Then we can solve the equation for X. X/4 = 8
We multiply each side of the equality by 4 X= 4*8 = 32
then the diagram represents the division: 32/4 = 8 or " 32 divided by 4 = 8"
what is the others name for false solution
Answer:
mistaken,
incorrect,
wrong,
bad,
untruthful
Answer:
Extraneous solution
Step-by-step explanation:
Extraneous solutions are solutions that come from solving a problem but are ultimately not a valid solution.
While on a walk in the country, you pass a field full of horses and chickens. After a quick count, you determine there are 43 heads and 122 feet in the field. How many of each animal are there?
Horse = x = 1 head and 4 feet
Chicken =y = 1 head and 2 feet
Horse + chicken = x + y = 43 ( total heads)
Horse = 43 - y
4x + 2y = 122
4(43-y) + 2y = 122
Simplify:
172-4y + 2y = 122
Combine like terms
172-2y = 122
Subtract 172 from both sides
-2y = -50
Divide both sides by-2
Y = 25
X + y = 43
X + 25 = 43
X = 18
There are 18 horses and 25 chickens.
Arundel Corporation has 7,000 shares of 6% $100 par cumulative preferred stock outstanding. Arundel paid all preferred dividends due for the year 2019 but paid no dividends in 2020. What amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders?
The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000
Using this formula
2021 preferred shareholders(per year)=Per dividend * Dividend rate
Let plug in the formula
2021 preferred shareholders(per year)=[(7,000*$100)*6%]
2021 preferred shareholders(per year)=($700,000*6%)*2
2021 preferred shareholders(per year)=42,000*2
2021 preferred shareholders(per year)=84,000
Inconclusion The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000
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m-2=1.97 and explain how to do it im lowkey kind of confused on how to do this.
9514 1404 393
Answer:
m = 3.97
Step-by-step explanation:
Your equation is written as a "one-step" linear equation.
m -2 = 1.97
It is solved by adding 2 to both sides of the equation. (This is the "one step.")
m -2 +2 = 1.97 +2
Simplifying gives ...
m = 3.97
_____
If this is supposed to be an equation where -2 is a exponent, then the rules related to exponents apply. In plain text, this would be written m^-2 = 1.97.
[tex]m^{-2}=1.97\\\\\dfrac{1}{m^2}=1.97\qquad\text{write using a positive exponent}\\\\\dfrac{1}{1.97}=m^2\qquad\text{multiply by $m^2/1.97$}\\\\\sqrt{\dfrac{1}{1.97}}=m\approx0.71247050\qquad\text{take the square root}[/tex]