To multiply 64 • 8.32, use the logarithmic equation (2) log 64 + log 8.32
How to determine the equivalent equation?The product is given as:
64 * 8.32
As a general rule, the product of a and b can be calculated using:
a * b = antilog(log(a) +log(b))
This means that:
64 * 8.32 = antilog(log(64) +log(8.32))
Hence, we make use of the logarithmic equation (2) log 64 + log 8.32
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16. (1.7 • 10^-4)(5•10^-5)
A. 8.5 • 10^-9
B. 8.5 • 10^20
C. 6.7 • 10^-9
D. 6.7 • 10^20
Julia is using this figure to prove that triangle ABC is an isosceles triangle. First, she used the converse of the perpendicular bisector theorem and the definition of perpendicular lines to determine that CE is the perpendicular bisector of AB.
The next step of the valid proof is that AE = CE because of the perpendicular bisector theorem.
What is a perpendicular bisector theorem?The perpendicular bisector theorem states that any point on the perpendicular bisector is equidistant from the endpoints of the line segment on which it is drawn.
In this case, Julia is using this figure to prove that triangle ABC is an isosceles triangle. After the steps given, the next step will be to indicate that AE = CE because of the perpendicular bisector theorem.
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Answer:
AC = BC because of the perpendicular bisector theorem
Step-by-step explanation:
I got it right on the test
It costs $3.99 for 32 fl. oz. of soda. What is the unit rate?
Answer:= 0.124688 oz per fl
Step-by-step explanation:
This is a fraction equal to
3.99 oz ÷ 32 fl
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 32
3.99 oz ÷ 32
32 fl ÷ 32
=
0.124688 oz
1 fl
=
0.124688 oz
fl
= 0.124688 oz pe
rewrite! Write an new and equivalent equation that is easier to solve
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - an equation in it's general formTo do - convert the given equation into a form that is easy to solveGiven equation -
[tex]\bold{(x + 2) {}^{2} + 4(x + 2) - 5 = 0} \\ [/tex]
solve the parenthesis so as to obtain simpler terms
[tex]\bold{\implies \: ( x {}^{2} + 4x + 4 ) + 4x + 8 - 5 = 0}\\ [/tex]
solve the like terms and you'll obtain the required equation !
[tex]\bold{\implies \: x {}^{2} + 8x - 7 = 0}[/tex]
hope helpful ~
[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]
x = -7, -1
Step-by-step explanation:
[tex] \sf {(x + 2)}^{2} + 4(x + 2) - 5 = 0[/tex]
let (x + 2) = y
So equation will be
[tex] \sf {y}^{2} + 4y - 5 = 0[/tex]
Further it becomes quadratic equation
we will solve it by breaking middle term method
[tex] \sf \implies {y}^{2} + 5y - y - 5 = 0 \\ \\ \sf \implies y(y + 5) - 1(y + 5) = 0 \\ \\ \sf \implies (y + 5)(y - 1) = 0[/tex]
Now put the value of y
[tex] \sf \implies (x + 2 + 5)(x + 2 - 1) = 0 \\ \\ \sf \implies (x + 7)(x + 1) = 0[/tex]
(x + 7) =0⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀(x + 1) = 0
x = -7⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ x = -1
please answer this question
The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.
What is integration?It is the reverse of differentiation. The differentiation is the rate of change of the function with respect to variables.
The integration is given below.
[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{(1 +x)^{2022}} \ dx[/tex]
Then the integration can be written as
[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{[(1 +x)^{1011}]^2} \ dx[/tex]
Let (1 + x)¹⁰¹¹ = t. Then 1011x¹⁰¹⁰ dx = dt.
Then we have
[tex]\rightarrow \int_{1}^{\infty } \dfrac{dt}{1011 \ t^2}[/tex]
Then integrate
[tex]\rightarrow \dfrac{1}{1011} \left [ \dfrac{-1}{t} \right ]_{1}^{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ \dfrac{1}{t} \right ]^{1}_{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ 1- 0 \right ]\\\\\\\rightarrow \dfrac{1}{1011}[/tex]
The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.
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Determine the consumers’ surplus of the market price is set at the equilibrium price (remember that x is measured in thousands)
Answer:here the answer
Step-by-step explanation:
....
Is the following statement true? Justify your answer to get credit: “If X1, · · · , Xn are independently distributed, then for large enough n, the central limit theorem says that the sample mean Xn has a normal distribution.”
Using the Central Limit Theorem, it is found that the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
Hence, the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal, no matter the underlying distribution of the variable.
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. A reception hall holds 96 people. If the hall
is filled with 3/4th of the maximum
capacity at a wedding reception, how
many people are at the reception?
A. 48
B. 36
C. 24
D. 72
Answer:
D.72
Step-by-step explanation:
first you have to divide 96 and 4 than it will equal 24 than you multiple by 3 and so 24×3=72
Bill walks 4 miles east, 5 miles north, and 7 miles west. How many miles is he, in a direct line, from his starting point?
Answer:
5.83 miles
Step-by-step explanation:
Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:
d² = (3 mi)² +(5 mi)² = 34 mi²
d = √34 mi ≈ 5.83 mi
Bill is 5.83 miles on a direct line from his starting point.
_____
The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.
Give a real-life situation for the sum. (will mark brainiest!!)
Answer:
Jeff is 15 years younger than Joe who is 10
Step-by-step explanation:
what is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 feet? Round to the nearest tenths place
Answer:
188 feet
i know that the answer
nasa makatulong po
The volume of a cylinder, in cubic feet, is,
V = 2,034.7 feet³
We have to given that,
In a cylinder,
Height = 8 feet
And, Diameter = 18 feet
Hence, Radius of cylinder is,
r = 18/2
r = 9 feet
We know that,
Volume of cylinder is,
V = πr²h
Substitute all the values, we get;
V = 3.14 × 9² × 8
V = 2,034.7 feet³
Therefore, The volume of a cylinder, in cubic feet, is,
V = 2,034.7 feet³
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NEED HELP QUICKLY!!
Find the value of the trigonometric ratio. Reduce the fraction when you can. tan X 40 Z X A) C) 5 4 5 32 Y 24 B) D) 433335
Work Shown:
tan(angle) = opposite/adjacent
tan(X) = ZY/XY
tan(X) = 32/24
tan(X) = (8*4)/(8*3)
tan(X) = 4/3
If you know that a student receives financial aid,
what is the probability that the student is a
graduate student?
Answer: Answer:
The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:
6101 = 100
1879 = X
1879 x 100/6101 = X
187,900 / 6101 = X
30,798 = X
Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
Find the surface area
Answer:
should be 1305 yd^2
Step-by-step explanation:
to get the surface area of one of the 3 recanglular sides take 24 x 15 to get 360 then muliply by 3 to get 1080 since all the recanglular sides are the same then do 15 x 15 to get both of the triangle sides to get 225 since the equation is 1/2 B x H then add them together
Customers who join a store's rewards program are invited to spin a wheel and earn a prize. The wheel is divided into eight same-sized sections, and three of those sections represent winning a gift certificate. Assuming the wheel is fair, approximately how many gift certificates are likely to be won if 528 customers spin the wheel?
A. 198 gift certificates
B. 176 gift certificates
C. 144 gift certificates
D. 66 gift certificates.
Please show your work and tell me how you figured it out.
Answer:
A. 198 gift certificates.
Step-by-step explanation:
The probability of winning on a single spin = 3/8.
Number of expected winners
= 528 * 3/8
= 66 * 3
= 198.
Solve each proportion. 9/8 = x/7
Answer:
x=63/8
Step-by-step explanation:
9/8=x/7
or, 9*7=x*8
or, 63=8x
x=63/8
what is the inverse of the following function: y-x^3=3
Answer:
f^-1(x)=[tex]\sqrt[3]{x-3}[/tex]
What is the length of the two equal sides?
What is the length of the third side?
Answer:
the length of the third side is 21
Step-by-step explanation:
let P be the perimeter of the triangle
a the length of the first and second sides
b the length of the 3rd side
…………………………………………………
Then
P = a + a + b
= 2a + b
Where b = a + 6
Therefore
P = 2a + (a + 6)
= 3a + 6
We substitute the numbers we have into the equation:
51 = 3a + 6
⇔ 45 = 3a
⇔ a = 15
Since b = a + 6 then b = 15 + 6 = 21
PLease help screenshot provided
Answer:
n= -80
Step-by-step explanation:
Hope this helps! ;-)
Answer:
[tex]\huge\boxed{\sf n = -20}[/tex]
Step-by-step explanation:
Given Equation:
[tex]n=5(2k^2+2k-6)[/tex]
Put k = -2
[tex]n=5[2(-2)^2+3(-2)-6]\\\\n =5[2(4)-6-6]\\\\n=5(8-12)\\\\n= 5(-4)\\\\\boxed{n = -20}\\\\\rule[225]{225}{2}[/tex]
the diagram represents a rectangular garden of length 14 m and width 10 m
The flower bed is a triangle and the vegetable patch is a trapezium
the rest of the garden is lawn
Answer:
The area of the lawn is 68 [tex]m^2[/tex].
Step-by-step explanation:
Area of lawn = Area of garden - (Area of triangle + Area of trapezium)
Area of garden = length x width
= 14 x 10
= 140 [tex]m^2[/tex]
Area of triangle = [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 3 x 8
= 12 [tex]m^2[/tex]
Area of trapezium = [tex]\frac{1}{2}[/tex] (a + b) h
= [tex]\frac{1}{2}[/tex](5 + 7) 10
= 60 [tex]m^2[/tex]
So that;
Area of lawn = 140 - (12 + 60)
= 140 - 72
= 68
The area of the lawn is 68 [tex]m^2[/tex].
Ryan's backyard has cement and grass. Find the area of the part with cement.
(Sides meet at right angles.)
Answer:
28m²
Step-by-step explanation:
I don't really know how to explain so I'm just going to say its 28m²
The area of the part with cement will be 28 square meters.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the image has the backyard area in which some part is cemented and the remaining part is grass.
The area of the cemented part will be calculated as:-
Cemented area = Total area - Area of grass
Cemented area = ( 6 x 6 ) - ( 4 x 2 )
Cemented area = 36 - 8
Cemented area = 28 square meters
Therefore, the part with cement in the backyard will have an area of 28 square meters.
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For questions 1-2, use the Reciprocal and Quotient Identities to find each value.
By using the reciprocal identity the value [tex]Sin \theta[/tex] will be [tex]\dfrac{5}{27}{[/tex]
What is Reciprocal and Quotient Identities?In trigonometry, quotient identities refer to trig identities that are divided by each other.
So here we have
[tex]Cosec\theta = \dfrac{27}{5}[/tex]
Now we have to find the reciprocal identity,
[tex]Sin\theta=\dfrac{1}{Cosec\theta}[/tex]
[tex]Sin\theta}=\dfrac{1}{\dfrac{27} { 5} }[/tex]
[tex]Sin\theta=\dfrac{5}{27}[/tex]
hence by using the reciprocal identity the value [tex]Sin \theta[/tex] will be [tex]\dfrac{5}{27}{[/tex]
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5) In the segment below, segment DC = 29,
lengths AB, BC, AC, rounded to the nearest tenth, and angle measures for
Applying the trigonometric ratios and the triangle sum theorem, the missing lengths and angles are:
AB = 27.2 units
BC = 33.5 units
AC = 50.4 units.
m∠A = 38°
m∠ABC = 112°
What are the Trigonometric Ratios?The trigonometric ratios, SOHCAHTOA, are used to find the sides or angles of a right triangle.
Find BD using TOA:
tan ∅ = opp/adj
tan 30 = BD/29
BD = tan 30 × 29
BD = 16.7 units
Find AD using TOA:
tan ∅ = opp/adj
tan 52 = AD/16.7
AD = (tan 52)(16.7)
AD = 21.4 units
Find AB using SOH:
sin 52 = 21.4/AB
AB = 21.4/sin 52
AB = 27.2 units
Find BC using CAH:
cos 30 = 29/BC
BC = 29/cos 30
BC = 33.5 units
Find AC:
AC = AD + DC
AC = 21.4 + 29
AC = 50.4 units.
m∠A = 180 - 52 - 90 = 38° (triangle sum theorem)
m∠ABC = 180 - m∠A - m∠C (triangle sum theorem)
m∠ABC = 180 - 38 - 30
m∠ABC = 112°
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the cost of 3 dolls if 2 such dolls cost rs.120 is ...... ans pls
Answer:
Rs. 180
Step-by-step explanation:
This is a proportion problem.
We are told that 2 dolls cost Rs. 120
Thus;
Cost of 1 doll = 120/2 = Rs. 60 per doll
Then;
Cost of 3 dolls = Rs. 60 * 3 = Rs. 180
Which of the following is equivalent to S = {spring, summer, autumn, winter}?
(you may select more than one)
{x | x = states in the United States}
{x|x is a season}
{x|x = planets in our solar system}
{x | x = former Presidents of the United States}
{x|x ≥ 1 and x < 5}
{x | x = sides of a standard dice}
Answer: {x | x is a season}
Step-by-step explanation:
Spring, summer, autumn, and winter are all seasons.
Someone please help me on this question and no links they don’t work!!
Answer:
78
Step-by-step explanation:
hint
If you were a salaried employee getting paid twice per month, how many times would you be paid in a year?
4 times
6 times
12 times
24 times
A right triangular prism and its net are shown below.
(All lengths are in centimeters.)
Answer:
Below in bold.
Step-by-step explanation:
a) The rectangle in the middle of the net is 10 cm long.
A = 8
B = 3
C = 6
D = 10
b) Surface area
= 3*6 + 3*10 + 3*8 + 2 * 1/2 + 8 * 6
= 18 + 30 + 24 + 48
= 120 cm^2
[tex]sa = bh + ( b_{1} + b_{2} + b_{3})l[/tex]
[tex]sa = 6(8) + (6 + 8 + 3) \times 10[/tex]
[tex]sa = 48 + (17)(10)[/tex]
[tex]sa = 48 + 170[/tex]
[tex]sa = 220 \: {cm}^{2} [/tex]
what is the sign of a times -b/b when a = 0 and b < 0?
The sign of a times -b/b when a = 0 and b < 0 is neutral neither negative nor positive .
What is a integers ?An integer is a whole number (not a fractional number) that can be positive, negative, or zero
As b<0 which means b would be negative.
So, -b/b gives a negative value.
Because if any of the either numerator or denominator is negative then the resulting value also be negative.
and if zero '0' is multiplied and number whether it is positive or negative the resulting value will be zero.
So, a* (-b/b)= 0* negative= negative zero, but zero is neither negative nor positive .
hence, the sign of a times -b/b is neutral neither negative nor positive .
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Please help me with those questions as soon as possible
Help me please!!!!!!
1.a. Typical number chosen = the median value = 6
b. 27
2. a. 21
b. b. How the scores vary = Range of the scores = 5
c. Mode = 8
d. Median = 8
What is the Range, Mode, and Median of a Data Set?Range = Highest value - least value
Mode = most occurred data point
Median = center value of the data distribution (typical value of a dot plot).
1. a. Typical number chosen = the median value (center value) on the dot plot = 6
b. The number enrolled = number of student represented on the dot plot + 2 students absent = 25 + 2 = 27.
2. Data given: 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10
a. There are 21 data points given, therefore, the number of students in the afternoon math class is: 21.
b. How the scores vary = Range of the scores = 10 - 5 = 5
c. Mode of the data = 8
d. Median score = 8
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