Answer: x = 1/16
Step-by-step explanation:
Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.
1. log B(2) {x} = -4 || given
2. x = 2 ^ -4 || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.
3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16
Elevii au studiat o schiță a corpului uman. Ei au observat că ar putea trasa pe schiță un
cerc pentru care centrul O și punctele A , B și C sunt corespunzătoare unor structuri
anatomice.
Cercul este reprezentat în figura alăturată. Centrul
cercului este punctul O, BC este diametru al cercului, iar
punctul A este situat pe cerc, astfel încât ∢BAO = 60° . Raza
cercului este de 2cm .
6. Calculează lungimea diametrului BC .
7. Determină măsura arcului mic AC .
Answer:
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
a straight line passing through A(3,2) and B(5,y) has gradient -2. find the value of y
Step-by-step explanation:
[tex]gradient \: = \: \frac{y2 - y1}{x2 - x1} [/tex]
y2 = y , x2 = 5
y1 = 2 , x1 = 3
[tex] - 2 \: = \: \frac{y - 2}{5 - 3} [/tex]
-4 = y-2 ==> y = -2
Answer:
y=-2
Step-by-step explanation:
For a line containing the points (X1,Y1) and (X2,Y2), the gradient/slope is equal to (Y2-Y1)/(X2-X1).
Therefore for a line with gradient -2 and points (3,2) and (5,y), we can say:
-2=(y-2)/(5-3)
-2(2)=y-2
y=-4+2
y=-2
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s= 6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample values, x_=33.2 hg, and s=2.6hg? What is the confidence interval for the population mean μ?
Answer:
a) ( 31.92 < μ < 33.88 )
The confidence interval is not very different from the confidence interval given in the question
b) ( 31.74 , 34.66 )
Step-by-step explanation:
n = 250
x ( mean ) = 32.9
std = 6.9
95% confidence interval
df = n - 1 = 250 - 1 = 249
a) construct confidence interval estimate
calculate for the margin of error
= [tex]t_{0.05/2} ,_{250-1} ( \frac{s}{\sqrt{n} } )[/tex] ( using excel function: T.INV.2T(0.025,249) )
= 2.255 ( 6.9 / 15.81 )
= 0.98
Hence the confidence interval for the population
= ( x - 0.98 < μ < x + 0.98 )
= ( 31.92 < μ < 33.88 )
The confidence interval is not very different from the confidence interval given in the question
b) when n = 19
x = 33.2 and std = 2.6
margin of error = [tex]t_{0.05/2} ,_{19-1} ( \frac{s}{\sqrt{n} } )[/tex] = 2.45 * ( 2.6 / 4.36 ) = 1.46
confidence interval
= ( 33.2 - 1.46 , 33.2 + 1.46 )
= ( 31.74 , 34.66 )
Completed Attempt 1
2
x
4
6
9
10
This net will be folded to form a prism.
C.
A
B.
С
D
E
F
Which pairs of faces will be opposite one another when the prism is created? Check all that apply.
D and F
A and C
A and B
Answer:
A & C
B & E
D & F
Step-by-step explanation:
Leave a like if this helped
Please help.
You will get brainliest.
Answer:
[tex] 18,432\pi \: {in}^{3} [/tex]
Step-by-step explanation:
Base diameter of cylinder = 48 in
So, base radius (r) = 48/2 = 24 in
Height of oil filled in the can (h) = 32 in
Volume of portion of the can that is filled with oil
[tex] = \pi {r}^{2} h \\ \\ = \pi \times (24)^{2} (32) \\ \\ =18,432\pi \: {in}^{3} [/tex]
hello guys
can you tell me what does this ^ mean in math?
Answer:
It means there is an exponent
Step-by-step explanation:
Of the following fractions: 9/19, 5/11, 7/15, and 11/23, which is the largest?
Answer: 11/23
Step-by-step explanation:
I used my calculator to convert those fractions into decimal form and found the biggest number. It was about 0.4789.
The largest fraction will be 11/23.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
All the fractions are,
⇒ 9/19, 5/11, 7/15, and 11/23
Now,
Since, All the fractions are,
⇒ 9/19, 5/11, 7/15, and 11/23
Here, The values are,
⇒ 9 /19 = 0.47
⇒ 5/11 = 0.45
⇒ 7/15 = 0.46
⇒ 11/23 = 0.48
Thus, The largest value of the fraction = 11/23
Learn more about the fraction visit:
https://brainly.com/question/5454147
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Find the area and perimeter the Gym, Cafeteria, and Locker
Room drawn in the blueprint.
Type the area in the top
bubble and the perimeter in the bottom bubble. Do not worry about the
doorways when calculating perimeter. (Numbers only)
Answer:
Gym: A=100 P=41
Cafeteria: A=144 P=48
Locker room: A=75 P= 37
The graph of y=f(x) is given below. Which of the answer choices shows the graph of y=f(1/3x)?
up one over three
Step-by-step explanation:
start at 3
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
8 cm
20 cm
Dmitri will need
18 cm
glass tiles.
9514 1404 393
Answer:
968
Step-by-step explanation:
The area of the top and sides is given by the formula ...
A = LW +2H(L +W)
A = (20 cm)(18 cm) +2(8 cm)(20 cm +18 cm)
A = (360 +16(38)) cm² = 968 cm²
Since the tiles are 1 cm², 968 tiles are needed.
The length of a rectangle is 3 yd more than twice the width, and the area of the rectangle is 54 yd?. Find the dimensions of the rectangle.
Answer:
The length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.
Step-by-step explanation:
Given that the length of a rectangle is 3 yards more than twice the width, and the area of the rectangle is 54 yards, the following calculation must be performed to find the dimensions of the rectangle, knowing that the area of a rectangle arises from multiplying its base by its height:
2X + 3 + X = 54
3X + 3 = 54
3X = 54 - 3
X = 51/3
X = 17
(17 x 2) + 3 = 37
Therefore, the length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.
ome organisms can reproduce through a process called budding. Which of the following best describes this process? (CHOOSE ALL THAT APPLY)
Answer:
Corals, some sponges, some acoel flatworms, and echinoderm larvae.
Step-by-step explanation:
Which equation has a constant of proportionality equal to
There are many equations that has a constant of
proportionality, might want to make it more specific.
Answer:
i can answer this if you tell me whay the constant of proportionality is. or you can add a attachment
Step-by-step explanation:
Which of the following is a true statement about the angle in the figure below
A. The m<3 is 142°
B. The m <1 is 99°
C. The m<2 is 137°
D. The m<4 is 137°
Answer:D. The m<4 is 137°
(I did that before)
12xy {}^{2} +xy {}^{2}z +3xy
[tex] {?}^{2} [/tex]
Answer:
xy(12y + yz + 3)
Step-by-step explanation:
GCF = xy
Take (xy) from each term
12xy² + xy²z + 3xy = xy(12y + yz + 3)
In Exercise 7, how likely is it Mrs. Phillips will open a
can of corn? a can of peas? Explain.
Answer:ptsStep-by-step explanation:
.. Is the product of (-2.1)(3.7)(8)(4.5) positive or negative?*
Answer:
negative
Step-by-step explanation:
(-2.1)(3.7)(8)(4.5)= -279.72
CAN SOMEONE PLEASE HELP ME
Answer:
isosceles
Step-by-step explanation:
hi could anyone please help me with this
The Great Park Balloon in Orange County, California, is a big orange sphere with a radius of 36 feet. Find its surface area (in square feet). (Use 3.14 for . Round your answer to one decimal place.)
Answer:
16286
Step-by-step explanation:
the formula for surface area for a sphere is 4 pi r^2
So substitute for r and you get 4pi*1296 then do 3.14 * 4 * 1296 and you get 16286.02 then round it to one decimal (it cancels out) and you get 16286.
[tex]2x - 5 \leqslant 6[/tex]
Answer:
Step-by-step explanation:
2x - 5 ≤ 6
Add 5 to both sides
2x -5 +5 ≤ 6 +5
2x ≤ 11
Divide both sides by 2
2x/2 ≤ 11/2
x ≤ 5.5
Please help ! Please help!
6x + 2 = 62
6x + 2 - 2 = 62 - 2
6x = 60
6x / 6 = 60 / 6
x = 10
All of the following numbers are rational except _____.
Answer:
D 1.44
Step-by-step explanation:
the answer is the last one 1.44
Answer:
√17
Step-by-step explanation:
√121 = 11
√25 = 5
√1.44 = 1.2
√17 is an irrational number/
Select the
outliar i the data set 1,64,66,68,69,70,78,79
Answer:
1 is the out liar
Step-by-step explanation:
This is because there is a huge gap between 1 and 64. The rest of the numbers are in a cluster.
HELPPPLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
It is C. 42 oz
--------
A rectangular gate is made using 6 straight pieces of steel.the weight of the steel is 2.5 kg per metre . Work out the total weight of the steel gare
Answer:
150 kg
Step-by-step explanation:
here is the complete question
A rectangular gate is made using 6 straight pieces of steel.
5 m
12 m
The weight of the steel is 2.5 kg per metre.
Work out the total weight of the steel gate.
To solve this question determine the square root of 12 and 5
√169 = 13
5 + 12+ 5 + 12+ 13 + 13 = 60 m
total weight = 60 x 2.5 = 150kg
At a snack bar, each medium drink costs $1.85 and each large drink cost c more dollars than a medium drink. If 5 medium drinks and 5 large drinks cost a total of $20.50, what is the value of c?
A) 0.45
B) 0.40
C) 0.30
D) 0.25
Answer:
B) 0.40
Step-by-step explanation:
m = 1.85
l = 1.85 + c
With 5 medium drinks and 5 large drinks:
C = 5m + 5l
20.5 = 5(1.85) + 5(1.85 + c)
20.5 = 9.25 + 9.25 + 5c
20.5 = 18.5 + 5c
5c = 20.5 - 18.5
5c = 2
c = 2/5 = 0.4
Help please and explain
Answer:
Volume of a cone = 50 in³
Step-by-step explanation:
diameter = 5 in
radius = 2.5 in
height = 8 in
Volume of cone = [tex]\frac{\pi r^2h}{3}[/tex]
V = (3 × 2.5 × 2.5 × 8)/3
V = 150/3
V = 50 in³
A market sells coffee from Brazil for $3 per pound and coffee from Colombia for $4 per pound. How
many pounds of each should be used in order to sell the blend of 100 pounds for $3.50 per pound?
Answer:
It would be 28 brazilian and 4 Colombian
Step-by-step explanation:
I multiplied alot and please forgive me if this is wrong
find the missing length
Answer:
PQ=36
Step-by-step explanation:
If the triangles are similar, then they must have a common ratio between them.
RQ corresponds with CB, so [tex]\frac{84}{18}=\frac{14}{3}[/tex]
If the ratio is [tex]\frac{14}{3}[/tex], then [tex]\frac{168}{\frac{14}{3}}=36[/tex], so PQ=36.