Answer:
See below ~
Step-by-step explanation:
Given
Mean = 92%Solving
Add 5 points of 100% and divide by 6 (total entries)92 + 5(100) / 6592/698.67%Solution
Five 100s will bring up the 92% up by 6.67% to 98.67%B
A 85⁰
D
What is the measure of angle B
What is the measure of Angle D
43° C
m/B=
m/D=
Answer:
B =116°
D = 116°
Step-by-step explanation:
one set of opposite angles of a kite equal
Make sure you tell me what goes in each of the 2 blanks.
Answer:
Future amount = 48(1 + 0.316074)^12
0.31607412Step-by-step explanation:
You want the exponential equation that can be used to find the number of bacteria in a colony after 12 days if it starts with 48 bacteria and triples in 4 days.
Exponential functionThe exponential function can be written in the form ...
future amount = a·b^(t/p)
where 'a' is the initial amount, 'b' is the growth factor in period p.
The problem statement tells you the initial amount is 48, and the factor by which the amount grows is a factor of 3 in 4 days. This lets you write the function as ...
future amount = 48·3^(t/4) . . . . . where t is in days.
RearrangementThis equation can be rearranged so the only exponent is t:
future amount = 48·(3^(1/4))^t = 48·1.316074^t
future amount = 48·(1 +0.316074)^t
Then the amount in 12 days is ...
future amount = 48·(1 +0.316074)^12
The numbers that go in the boxes are 0.316074 and 12.
__
Additional comment
Working from our original equation, we would compute the number after 12 days to be ...
future value = 48·(3)^(12/4)
Putting the growth factor in "1 +" form, this could be ...
future value = 48·(1 +2)^3
and your box numbers would be 2 and 3. We doubt your answer checker will accept this version of the equation.
Either way, the number of bacteria after 12 days is 1296.
If you use 3^(1/4) -1 as the growth rate in the first box, you need to report it to at least 5 significant digits in order for the future value to come out right. We have shown the value with 6 significant figures.
<95141404393>
Is 6/12 equivalent to 1/2?
Answer:
yes because 1/2= .5
and 6/12= .5 so they are equivalent
yes
Calculations ↓In order to determine whether or not 6/12 is equivalent to 1/2, we need to reduce the first fraction.
Reduce by dividing the top & bottom by 6 ↓
[tex]^6/_{12}=^1/_2[/tex]
Yes, 6/12 is indeed equivalent to 1/2.hope helpful ~
A map use the scale 3/4 of an inch to represent 3 miles .if the actual distance between two cities is25 miles ,then what is the length on the map
3/4 inch
3 miles
to find:the length of the map
solution:Based on the given conditions, write:
x= 34/ 4 · 25/ 3
Write as a single fraction:
x= 3 × 25/ 4/ 3
Divide a fraction by multiplying its reciprocal:
x= 3 x 25/ 4 × 1/ 3
Write as a single fraction:
x= 3 x 25/ 4 × 3
Reduce fraction to the lowest term by canceling 25 the greatest common factor:
x= 25/4
therefore,the length of the map is 25/ 4.
A number cube is rolled 300 times. Predict how many times a number greater than 3 would be rolled.
Need help on this question
From a set of whole numbers from 1 to 32, what is the probability of randomly choosing a number either divisible by 5 or divisible by 3
The probability of randomly choosing a number either divisible by 5 or divisible by 3 is 1/2.
What is the probability?
Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Numbers between 1 - 32 that are divisible by 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30Total number = 10 Numbers between 1 - 32 that are divisible by 5 = 5, 10, 15, 20, 25, 30Total number = 6Probability of randomly choosing a number either divisible by 5 or divisible by 3 = (numbers divisible by 3 / total number) + (numbers divisible by 5 / total number)
10/32 + 6/32 = 16/32= 1/2
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Answer:
7/16
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPP-
Answer:
Answers are in bold (in order)
Step-by-step explanation:
For the table, the question is asking us to take our x value and put it into the equation. for example:
y = 8x +1 . if x = 0, we can write this as this
y = 8(0) + 1 -> (the brackets mean times)
8 x0 = 0. 0+1 = 1.
if we follow this rule, the values are: 1, 9, 17, 25, 33.
For the function machine, if x = 1, then we can write 1 where the x is. The function machine is telling us that 1 x3 and then -2 = y, y being a random number we don't know. 1 x 3 = 3. That means 3-2 = y . 3-2 = y. So, y = 1 when x = 1.
When x =-9 we can rewrite x as -9. That means that -9 x 3, then -2 = y.
-9 x 3 = -27.
That means that -27 -2 = y
-27 -2 = -29, so when x = -9, y = -29.
For the third part we need to work out the gradient and the equation of the table. The gradient (how much our values go up by) The gradient can be worked out by diving the change in y (our y value) by the change in x (our x value). So, if we take the first two y values, we have -2 and 8. The difference/chance between these two is 10. (-2+10=8). And for the x values, the first two x values are 0 and 1. The difference/change between these two is 1. (1-0=1.) So, all we need to do is divide these values 10/1 = 10. So our gradient is 10. That means that the first box on the function machine will be “x10” to work out the second, we simply do the first box and go from there. If our x = 1, then 1 x 10 = 10. Our table says that when x = 1, y = 8. So to we need to work out the change between these is, to get our answer. To get from 10 to 8, we minus two. So the final box on the function machine must be “-2”
For the last part of the question, we are just substituting in the values of x.
If t = 1, then 4(t-3) is basically 4(1-3)
1-3 = -2. 4(-2) = -8.
so when t =1, s = -8. If you do this for the next two questions, you should get the answers:
s = -28 when t = -4
s = -12 when t = 0
Instructions: Find the measure of the angle.
Answer:
Step-by-step explanation:
Remark
The figure inside the circle is a quadralateral. The 4 angles touch the circumference of the circle. The figure is further defined as a cyclic quadrilateral.
One of the properties of such a figure, is that the opposite angles are supplementary. That is they add to 180.
Equation and solution
? + 100 = 180 Subtract 100 from both sides
? + 100 - 100 = 180 - 100
? = 80 degrees
Answer
? = 80
What is 47 x 89 divided by 58 + 787 x 879000 divided by 78
Answer:
6441.46 (2d.p.)
Step-by-step explanation:
47×89= 4183÷(845)=0.571×879000=502434.319÷78= 6441.46
The length of the shadow of an office building is 35 feet. At the same time of the day, Donovan Mitchell, who is 6.1 feet tall, has a shadow of 5 feet. What is the height of the office building?
Answer:
175
Step-by-step explanation:
35 times 5 is 175
Hope This Helped
Please helpppppppppppp
Last one!! I need the steps please! Will mark brainliest!
Answer:
[tex]h(t)=-6(t-2)^2+24[/tex]
Step-by-step explanation:
Given function:
[tex]h(t)=-6t^2+24t[/tex]
where:
h = height (in feet)t = times (in seconds)Rewrite in the form [tex]h(t)=a(t-h)^2+k[/tex]
The quickest way to do this is to expand [tex]h(t)=a(t-h)^2+k[/tex] and compare coefficients with the original function.
[tex]\begin{aligned}h(t)& =a(t-h)^2+k\\ & = at^2-2aht+ah^2+k\end{aligned}[/tex]
Comparing coefficients with [tex]h(t)=-6t^2+24t[/tex]
[tex]\begin{aligned}\implies at^2& =-6t^2\\ a &=-6\end{aligned}[/tex]
[tex]\begin{aligned}\implies -2aht & =24t\\ -2(-6)ht& =24t\\ 12ht & = 24t\\ 12h & = 24\\ h & = 2\end{aligned}[/tex]
[tex]\begin{aligned}\implies ah^2+k & = 0\\(-6)(2)^2+k &=0\\ -24+k & =0\\ k &=24 \end{aligned}[/tex]
Therefore, substituting the found values into the equation:
[tex]h(t)=-6(t-2)^2+24[/tex]
The average temperature over a 10-day period in Phoenix was 98 degrees. For the first six days, it was sunny, and the average temperature was 100 degrees. Over the next 4 days, it was cloudy and the temperature dropped. What was the average temperature for those 4 days? Show work.
Answer:
96
Step-by-step explanation:
The average for the first 6 days was 100, and it ended up dropping overall by 2 for the average.
6 days=x/6=100
4 days=x/4=98/100
You can do 96+100/2 which is 98 degrees.
What is the surface area of this right triangular prism?
Enter your answer in the box.
in²
Right triangular prism. The height of the prism is labeled 12 in. The base of the prism is a triangle with sides labeled 13 in., 13 in., and 24 in. There is a dashed line from the vertex of the triangle perpendicular to the 24 in. side that is labeled 5 in.
The surface area of the right triangular prism is : 20,568 [tex]in^{2}[/tex]
using this formula ;SA = bh + (s1 + s2 + s3)*l
Meaning of a triangular prismA traingular prisms is a prism that has triangles as its base. It has two triangles which are called the bases and three rectangles called the lateral faces.
Given data:
where; SA means the surface area
b = base = 24 inh = height = 12 ins1 = side one = 13 s2 = side two = 13 ins3 = side three = 24 inl = length = 5 inTherefore:
SA = 24*12 + ( 13 * 13 * 24 ) * 5
SA = 288 + ( 4056) * 5
SA = 288 + 20280
SA = 20,568 [tex]in^{2}[/tex]
In conclusion, the surface area of the right triangular prisms is 20,568 [tex]in^{2}[/tex]
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Answer:
20,568..............................
Find an ordered pair with (x,y) that is a solution to the equation 3x+y=8
Answer: (2,2)
Step-by-step explanation:
3x+y=8
X=2, y=2
3(2)+2=8
6+2=8
The tables below contain integers, fractions or mixed numbers. Select the table whose rations of ordered pairs represent a proportional relationship between x and y.
Answer:
d
Step-by-step explanation:
The volume of a sphere is 4,500π cubic yards. What is the radius of the sphere?
Answer:
15Step-by-step explanation:
In the question it is given that the volume of a sphere is 4,500π cubic yards. And we have to find the radius.
We know that,
4/3πr³ = Volume of a sphereNow, Substituting the values in the fomulae :
⇒ 4/3πr³ = 4500π
Cancelling π from both sides :
⇒ 4/3r³ = 4500
⇒ 4r³ = 4500 × 3
⇒ 4r³ = 13500
⇒ r³ = 13500/4
⇒ r³ = 3375
Taking cube root on both sides we get :
⇒ r = 15
Therefore,
The radius of the sphere is 15 yardsAnswer:
15 yardsStep-by-step explanation:
In this question we have provided volume of sphere that is 4500π cubic yards . And we are asked to find the radius of the sphere .
We know that ,
[tex] \qquad \: \frak{Volume_{(Sphere)} = \dfrac{4}{3}\pi r {}^{3} } \quad \bigstar[/tex]
Where ,
r refers to radius of circleSolution : -
As in the question it is given that volume of sphere is 4500π . So equation it with volume formula :
[tex] \dashrightarrow \: \qquad \: \dfrac{4}{3} \pi r {}^{3} = 4500\pi[/tex]
Step 1 : Cancelling π as they are present on both sides :
[tex]\dashrightarrow \: \qquad \: \dfrac{4}{3} \cancel{\pi }r {}^{3} = 4500 \cancel{\pi}[/tex]
We get ,
[tex]\dashrightarrow \: \qquad \: \dfrac{4}{3} r {}^{3} = 4500[/tex]
Step 2 : Multiplying with 3/4 on both sides :
[tex]\dashrightarrow \: \qquad \: \dfrac{ \cancel{4}}{ \cancel{ 3}} r {}^{ 3} \times \dfrac{ \cancel{3}}{ \cancel{4}} = \cancel{ 4500} \times \dfrac{3}{ \cancel{4} }[/tex]
On further calculations, We get :
[tex]\dashrightarrow \: \qquad \: r {}^{3} = 1125 \times 3[/tex]
[tex]\dashrightarrow \: \qquad \:r {}^{3} = 3375[/tex]
Step 3 : Applying cube root on both sides :
[tex]\dashrightarrow \: \qquad \: \sqrt[3]{r {}^{3} } = \sqrt[3]{3375} [/tex]
We get :
[tex]\dashrightarrow \: \qquad \: \purple{\underline{\boxed{\frak{r = 15 \: yards}}}}[/tex]
Therefore , radius of sphere is 15 yards .#Keep Learning30 POINTS!
Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6
Answer choices:
42, 24, 4, 16
Answer: 16
Step-by-step explanation:
Solve the system of equations - 2x - 2y = -24 and - 3.x – 2y = -33 by
combining the equations.
=-24)
F
| 22 -24
3x – 2y =-33)
-2 -2 =-24
-3x – 2y = -33
02 +0y=
Answer:
x = 9, y = 3
Step-by-step explanation:
-2x-2y=-24 (EQ 1)
-3x-2y=-33 (EQ 2)
Combining terms we means we either add or subtract the equations in order to eliminate a x or y terms. Simply choose a equation and change it to it's opposite (ex. -3 becomes 3.)
Let's try swapping EQ 1
2x + 2y = 24
(Simply add similar variables and numbers like you would a addition problem.)
-3x-2y=-33
-x = -9
x = 9
Now plug that into one of your equations to get y.
-2(9) -2y = -24
-18 -2y = -24
(Add 18 to both sides.)
-2y = -6
y = 3
The area of a square in square feet is represented by z² + 8z + 16.
Find an expression for a side length of
the square.
Find the perimeter of the square when z=12.
Answer:
Side length: z + 4
Perimeter: 64
Step-by-step explanation:
Hello!
Since the area of a square is the square of the sde length,
using the special binomial product formula: (a+b)² = a² + 2ab + b²:
z² + 8z + 16(z + 4)²The side length of the square is (z+4)².
The perimeter is 4(z + 4), where z is 12:
4(12 + 4)4(16)64The side length is z + 4, the perimeter is 64
Write an equation in
slope-intercept form given two
points.
(2,21) and (4,42)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{21})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{42}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{42}-\stackrel{y1}{21}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{21}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{21}=\stackrel{m}{\cfrac{21}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y-21=\cfrac{21}{2}x-21\implies y=\cfrac{21}{2}x[/tex]
{7x0.1]+[2x100]+[3x1000]+[4 x 1]+[5x0.01] as a decimal
Please Answer
Answer:
Step-by-step explanation:
7*.01= .7
2*100=200
3*1000=3000
4*1=4
5*.01=.05
.7+200+3000+4+.05=3204.75
For the following quadratic equation, find the discriminant.
8x2 + 14x + 40 = 7x2
Answer:
36
Step-by-step explanation:
8x^2 - 7x^2 +14x +40 = 0
x^2 + 14x + 40 = 0
a = 1, b = 14, c = 40
14^2 - 4*1*40
36
Answer:
36
Step-by-step explanation:
you're welcome hope this helps
What is the surface area of this rectangular pyramid? 5 cm 5 cm 5 cm square centimeters
Answer:
you have to multiple 5x5x5
Answer:
68.3 cm^2
Step-by-step explanation:
Assuming slant height is 5 cm : ( the Q does not say)
The base area will be 5 x 5 = 25 cm^2
then you have 4 equilateral triangles of side length 5 cm
total area = 43.3 cm^2
SUM = 68.3 cm^2
Solve the following system of equations
by Substitution.
5x + 4y = 7
-2x - 2y = 8
Answer:
y = 9/13
Step-by-step explanation:
x = -4 + y
5(-4 + y) + 4y = 7
-20 + 9y = 7
9y = -13
Answer:
5x + 4y = 7 × -2
-2x - 2y = 8 × 5
-10x - 8y = -14
-10x - 10y = 40
Step-by-step explanation:
2y = -54 ÷2
y = -27
Now substitute the value of y into equation (1)
5x + 4y = 7
5x + 4(-27) = 7
5x = 7 + 108
5x = 115
X = 23
Show all your working out.
Simplify (2m^4)^3
The expression (2m^4)^3is an algebraic expression, and the simplified value is 8m^12
How to simplify the algebraic expression?The expression is given as:
(2m^4)^3
Expand the bracket
(2m^4)^3 = 2^3 * m^(4 * 3)
Evaluate the exponents
(2m^4)^3 = 8 * m^12
Evaluate the product
(2m^4)^3 = 8m^12
Hence, the simplified value is 8m^12
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can you help me pls by the way i am in 5th grade
Answer:
Step-by-step explanation:
rewrite 20(1/5u-3/4) without parentheses
Answer:
4u-15 is your answer
Step-by-step explanation:
20(1/5u-3/4)
20/5u-60/4
4u-15
Lets solve:
⇒20(1/5u-3/4)
Divide by 20 on each side
⇒20/5u-60/4
Solve the problems
---------------------------------------
⇒4u-15
Final answer: 4u-15
hope this helps :)
Find the equation of a circle given the coordinates of the diameter: (-10,-4) (2,6)
Answer:
(x + 4)^2 + (y - 1)^2 = 61.
Step-by-step explanation:
We need to find the square of the radius and the coordinates of the center.
Center = (-10 + 2)/2 , (-4 + 6)/2
= (-4, 1).
Length of the diameter
= √((-10-2)^2 + (-4-6)^2)
= √(144 + 100)
=√244
So the radius = √244/2
and r^2 = 244/4 = 61,
So the equation of this circle is:
(x - (-4)^2 + (y - 1)^2 = 61
(x + 4)^2 + (y - 1)^2 = 61.
(x + 4)²+ (y - 1)² = 61 is the equation of a circle given the coordinates of the diameter: (-10,-4) (2,6)
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given coordinates of the diameter of circle are (-10,-4) and (2,6)
Diameter=√(x₂-x₁)²+(y₂-y₁)²
x₂=2,x₁=-10, y₁=-4, y₂=6
Diameter=√(2-(-10))²+(6-(-4))²
=√(12)²+(10)²
=√144+100
=√244
We know that Radius=Diameter/2
R=√244/2
Squaring both sides
R²=244/4
R²=61
So the equation of this circle is:
(x - (-4)² + (y - 1)² = 61
(x + 4)²+ (y - 1)² = 61.
Hence (x + 4)²+ (y - 1)² = 61 is the equation of a circle given the coordinates of the diameter: (-10,-4) (2,6)
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