Answer:
0.6875
Step-by-step explanation:
24.5 = 3.2⁴ˣ
To get the exponent out of its exponent form, we need to take the ln of both sides:
ln(24.5) = 4x · ln(3.2) - divide both sides by ln(3.2)
[tex]\frac{ln(24.5)}{ln(3.2)}[/tex] = 4x - divide both sides by 4
x = 0.6875
PLZ IN NEED OF HELP!
Plz help me the question is what is the volume of the prism in cubic centimeters
Answer:
120 cubic cm
Step-by-step explanation:
The Volume of a Triangular Prism = [tex]1/2Bh[/tex], where B = height x length of triangle, divided by 2 (because that's how we find the area of a triangle).
So the height of the triangle is 4 cm, and the length is 6 cm; 6 x 4 = 24, divided by 2 is = 12 cm.
Then the other H, the height of the triangular prism, is = 10 cm, and 12 x 10 is equal to 120 cm ^3.
A box without a top is to be made from a rectangular piece of cardboard, with dimensions 12 in. by 16 in., by cutting out square corners with side length x and folding up the sides.
A) Write an equation for the volume V of the box in terms of x.
B) Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume.
Please explain how you go your answer
Answer:
Step-by-step explanation:
Length (a) = 12-2x
Width (b) = 16-2x
Height (h) = x
Volume = a*b*h = x(12-2x)(16-2x) = 192x-56x^2+4x^3
Use derivative to find max.
dV/dx = 192-112x+12x^2 = 0
x = 7.07, 2.26
You can use second derivative or take two closest points and find gradient of them to find max x.
Max(x) = 2.26
3 questions in 1
1. The set of data below represents test scores for 20 students on a final exam.
What are the outliers in the data set?
[Hint: Lower Limit = Q 1 – 1.5(IQR) ; Upper Limit = Q 3 + 1.5(IQR)]
2. The set of data below represents test scores for 20 students on a final exam. What is the value of Q 1?
3. The set of data below represents test scores for 20 students on a final exam. What is the value of Q 3?
Answer:
1. D. 20, 30, and 50
2. A. 86
3. B. 94
Step-by-step explanation:
1. To find the outliers of the data set, we need to determine the Q1, Q3, and IQR.
The Q1 is the middle data in the lower part (first 10 data values) of the data set (while the Q3 is the middle data of the upper part (the last 10 data values) the data set.
Since it is an even data set, therefore, we would look for the average of the 2 middle values in each half of the data set.
Thus:
Q1 = (85 + 87)/2 = 86
Q3 = (93 + 95)/2 = 94
IQR = Q3 - Q1 = 94 - 86
IQR = 8
Outliers in the data set are data values below the lower limit or above the upper limit.
Let's find the lower and upper limit.
Lower limit = Q1 - 1.5(IQR) = 86 - 1.5(8) = 74
The data values below the lower limit (74) are 20, 30, and 50
Let's see if we have any data value above the upper limit.
Upper limit = Q3 + 1.5(IQR) = 94 + 1.5(8) = 106
No data value is above 106.
Therefore, the only outliers of the data set are:
D. 20, 30, and 50
2. See explanation on how to we found the Q1 of the given data set as explained earlier in question 1 above.
Thus:
Q1 = (85 + 87)/2 = 86
3. Q3 = (93 + 95)/2 = 94
If a number is selected at random from the first 50 natural numbers,what will be the probability that the selected number is a multiple of 3 and 47.
Add working steps :)
Please helppp!! Worth 20 points. I’ll mark brainliest if someone actually helps >.
Answer: $25
Step-by-step explanation: 25 times 3(because there are three people) =75 - 45(the amount they spent)=30 the amount they are left with all together.
it took me awhile to answer so sorry for the wait but i hope this helps.
Zaire is making granola bars. For one batch of bars, the recipe requires 1 2/3 cups of rolled oats, and 1/2 cups of raisins. What is the combined amount, in cups, of rolled oats and raisins that is used in one batch of granola bars?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The area of a rectangle is 99 square units. Its width measures 9 units. Find the length of its diagonal. Round to the nearest tenth of a unit.
Answer:
14.2
Step-by-step explanation: 99/9=11
11^2 + 9^2 =c^2
121 + 81 = c^2
The square root of 202 = c^2
14.2126704=14.2
14.2 =c
Answer:
14.2 is correct
Step-by-step explanation:
creds to guy
I need this answered
Solve using quadratic equation by factoring.
x^2+8x=65
Answer:
-13, 5
Step-by-step explanation:
See image below:)
write five rational number which are smaller than 2
Answer:
The numbers can be -4, -3, -2, -1, and 1
whats the area for this figure?
Answer:
120 uwu hehe I'm not the best at math nut I thinks it's that!
Answer:
88
Step-by-step explanation:
hope it helps plz mark brainliest
16. Audrey bought 4 yards of red fabric
, 2 yards of white, and 1 yards of blue. What is the
total amount of yards that she purchased?
Answer:
Audrey bought 7 yards.
Step-by-step explanation:
Just add 4+2+1 because those are what colors she bought, but all together she bought 7 yards of all colors.
Solve for x (5x +40) A. AB. BC, AC B. BC. AC. AB C. AC. AB. BC (7x+8) (10x) с A D. BC. AB. AC Which of the following lists the sides in order from shortest to longest?
Answer:
D
Step-by-step explanation:
The shortest side is the side opposite the smallest angle, the longest side is opposite the largest angle.
First find the measure of the angles in the triangle.
The sum of the 3 angles = 180° then
5x + 40 + 10x + 7x + 8 = 180
22x + 48 = 180 ( subtract 48 from both sides )
22x = 132 ( divide both sides by 22 )
x = 6
Then
∠ A = 7x + 8 = 7(6) + 8 = 42 + 8 = 50°
∠ B = 5x + 40 = 5(6) + 40 = 30 + 40 = 70°
∠ C = 10x = 10(6) = 60°
The shortest side is opposite ∠ A , that is BC
The longest side is opposite ∠ B , that is AC
The sides in order from shortest to longest are
BC, AB, AC → D
Find the value of the indicated angle.
Answer:
leg = 1
hypotenuse = √2 or 1.41
Step-by-step explanation:
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 35pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
given;
inscribed angle =35°
central angle=35×2=70°
radius [r]=10in
area of shaded region=70°/360×πr²
=70°/360×π×10²=159π/9 in²
Find the missing side. Round
to the nearest tenth.
Х
у
39
57
y = [?]
In the given triangle value of [tex]x= 73.4[/tex] units and [tex]y= 46.2[/tex] units ( round to nearest tenth)
What is triangle?" Triangle is defined as the two dimensional geometrical shape with three vertices, three sides and three angles enclosed in it."
Formula used
Pythagoras theorem
(Hypotenuse)² = (adjacent side)² + (perpendicular side)²
[tex]tan\theta = \frac{perpendicular side}{adjacent side}[/tex]
According to the question,
In the given triangle,
Hypotenuse [tex]= x[/tex]
Perpendicular side [tex]= y[/tex]
Adjacent side [tex]= 57[/tex]
Value of [tex]\theta = 39[/tex]
Substitute the value of the given triangle in the formula to get the missing values,
[tex]tan 39\°= \frac{y}{57} \\\\\implies 0.8098 = \frac{y}{57}\\\\\implies y = 57 \times 0.8098\\\\\implies y = 46.1586[/tex]
[tex]\implies y= 46.2[/tex] units (round to nearest tenth)
Substitute the value in the Pythagoras theorem we get,
[tex]x^{2} = (46.2)^{2} +(57)^{2} \\\\\implies x^{2} = 2134.44 + 3249\\\\\implies x = \sqrt{5383.44} \\\\\implies x = 73.37[/tex]
[tex]\implies x = 73.4[/tex] units (round to nearest tenth)
Hence, In the given triangle value of [tex]x= 73.4[/tex] units and [tex]y= 46.2[/tex] units ( round to nearest tenth)
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ2
Its mathematics mind helping me?
Answer: 10
Step-by-step explanation:
3F+6=36
SO F=30/3=10
Answer:
The equation is going to be 3f+6=36
f= 10
Step-by-step explanation:
When ever they use the same variable for varies places in the same problem. That means the variables will have the same solution. So, we can combine all the "f" together, so that will be "3f" plus the 6 will be 36.
3f+6=36
we just have to solve the equation to find the answer.
first subtract 6 on both sides.
3f+6-6=36-6
and you get
3f=30
Now divide 3 from both sides and you get f=10, so F= 10
there you goo people
Answer:
use photo math or mathpapa to solve the equations
Step-by-step explanation:
Answer:
wow
Step-by-step explanation:
dude you make it seem like we have to anwser
How many degrees is the rotation below? *
•90 degrees counter clockwise
•180 degrees
•270 degrees counter clockwise
•360 degreees
Solve for unknown variable
HELPPPPPPPPPPPPPP
A student needed to find the measure of angle b. He incorrectly said m
btw 54% angle a
Answer:
do you have any pictures?
Step-by-step explanation:
Heather drove at a constant rate. She traveled 162162 miles in 33 hours. How far did Heather travel in 11 hour?
Answer:
she travels H/3 miles in 1 hour.
Step-by-step explanation:
Heather drove at a constant rate she traveled 162 miles in 3 hours how far did Heather travel in 1 hour
suppose that Heather drove H miles in 3 hours. Then her constant rate (speed) was H/3. That's H/3 mph. So, she travels H/3 miles in 1 hour.
How to work out surface area of cubes
Answer:
The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube. We have 96 = 6a2 → a2 = 16, so that's the area of one face of the cube.
Hope this helps!!!!!!!!
I WILL GUVE BRAINIEST I NEED ASAP.
A car has 4 cylinders that each have a radius of 4cm and a height of
10. Use 3.14 for pi. Find the volume of a cylinder, solve for the total
volume of the engine in cubic centimeters, then round to the nearest
cubic centimeter.
Answer:
What I got for my answer for one of the cylinders is 502.65
I hope I helped :3 Let me know if your confused on it or need something done plz I will gladly help ^w^
m= 2^4 x 3^3
n= 2^3 x 3^2 x13
find the highest common factor of 3m and 2n
Answer:
144
Step-by-step explanation:
We know that any integer can be written as a product of prime numbers.
Then if two given numbers share a given amount of prime numbers, then the product of all of these shared prime numbers is the highest common factor between these two numbers:
Here we have:
m = 2⁴*3³
n = 2³*3²*13
We want to find the highest common multiple of 3*m and 2*n, let's write these numbers, and remember that:
a*aⁿ = a⁽ⁿ ⁺ ¹⁾
Then:
3*m = 3*( 2⁴*3³) = 2⁴*3⁴
2*n = 2*( 2³*3²*13) = 2⁴*3²*13
So both of these numbers have the factor 2 four times.
And both of these numbers have the factor 3 at least 2 times.
So we can rewrite:
3*m = 2⁴*3⁴ = (2⁴*3²)*3²
2*n = 2⁴*3²*13 = (2⁴*3²)*13
Then the highest common multiple is:
2⁴*3² = 16*9 = 144
select the expression that represent the following statement: add 24 to the quotient of 16 and 8.
16 × 8 + 24
(16 ÷ 8) + 24
24 - 8 + 16
(16 - 8) + 24
Answer:
[tex](16\div8)+24[/tex]
Step-by-step explanation:
The quotient of 16 and 8 is [tex]16\div8[/tex]. Adding 24 to this value results in [tex](16\div8)+24[/tex].
pls help me pls i will give brainlist
Which set of procedures would be best to follow when separating a mixture of sand, salt, and water?
Group of answer choices
1. Pour the mixture through a filter to separate the sand; 2. Evaporate the liquid to separate the salt.
1. Evaporate the liquid to separate the water; 2. Heat the solid mixture to separate the salt.
1. Pour mixture into a bowl to separate the water; 2. Use a hand lens to separate the sand and salt.
1. Heat the mixture on a hot plate to separate the sand; 2. Cool the liquid to separate the salt.
Answer:
1. Pour the mixture through a filter to separate the sand; 2. Evaporate the liquid to separate the salt.
Step-by-step explanation:
Determine the area of the trapezoid
a. 16
b. 32
c. 24
d.8
HELP PLEASEE IM FAILING
Answer:
failure is a step towards success!!
don't get urself drowned,,,,just get over it❤️
Answer:
C
Step-by-step explanation:
∠ SVW = ∠ TWX = 84° ( corresponding angles are congruent )
∠ UVY = ∠ SVW = 84° ( vertical angles are congruent )