Answer:
72 m
93 m
Step-by-step explanation:
1) A = length x width
6264 m² = (87 m)w
w = 6264 m²/87 m = 72 m
2) P = 2l + 2w
342 m = 2l + 2(78 m)
342 m - 156 m = 186 m = 2l
l = 186 m/2 = 93 m
3 cards are chosen at random from a standard 52-card deck. What is the probability that they can be arranged into a group of three consecutive cards, all of the same suit
The probability that they can be arranged into a group of three consecutive cards, all of the same suit, is 0.002.
Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that the event will definitely occur.
If 3 cards are chosen at random from a standard 52-card deck, then the total number of possible outcomes is:
52C3 = 22100
For a single suit, there are 11 possible ways for three cards to be consecutive cards. So, the total number of desired outcomes is:
11 x 4 = 44
Solve for the probability.
p = 44 / 22,100 = 0.002
Therefore, the probability is 0.002.
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-3/4 +-5/8? i need answer fast
Answer: -1/38
Step-by-step explanation:
Answer:
The answer can be written in multiple forms listed below
[tex]-\frac{11}{8}[/tex] or [tex]-1\frac{3}{8}[/tex] or [tex]-1.375[/tex]
Step-by-step explanation:
Given [tex]-\frac{3}{4}+-\frac{5}{8}[/tex].
A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign.
[tex]-\frac{3}{4}-\frac{5}{8}[/tex]
Write each expression with a common denominator of [tex]8[/tex].
[tex]4*2=8[/tex]
[tex]\frac{2(-3)}{2*4}-\frac{5}{8}[/tex]
[tex]\frac{2(-3)}{8}-\frac{5}{8}[/tex]
Multiply [tex]2[/tex] and [tex]-3[/tex].
[tex]\frac{-6}{8}-\frac{5}{8}[/tex]
Combine the numerators over the common denominator.
[tex]\frac{-6-5}{8}[/tex]
Subtract [tex]5[/tex] from [tex]-6[/tex].
[tex]\frac{-11}{8}[/tex]
The answer can be written as
[tex]-\frac{11}{8}[/tex] or [tex]-1\frac{3}{8}[/tex] or [tex]-1.375[/tex]
-10 = -2 (v -5 ) pls help
Answer:
v = 10
Step-by-step explanation:
-10 = -2 (v - 5)
-2 distribute by v and 5 becomes
-2v + 10
-10 = -2v + 10
Inverse Operation of +10 is -10
-10 - 10 = -20
-20 = -2v
v = 10
I need help to figure this out
On solving the provided question, we can say that - here in logarithm [tex]- 8c = 7c - 75 = (8+7)c = 75 = 15c = 75= > c = 5[/tex]
what is logarithm?The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).
here,
log(-c) + log8 = log (7c-75)
log (-8c) = log (7c-75) (∵ log a + log b = log ab)
[tex]- 8c = 7c - 75 \\ (8+7)c = 75\\15c = 75\\= > c = 5[/tex]
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9. A block of silver is heated from 30°C to 68°C. The mass of the block is 15 kg. How much
thermal energy must be added to the block of silver?
A block of silver mass of the block is 15 kg when heated from 30°C to 68°C. The thermal energy added to the block of silver is 0.13395 J
What is thermal energy?Thermal energy is the term used to describe the energy present in a system that determines its temperature.
The movement of thermal energy is heat. How heat is transmitted across various systems and how work is accomplished in the process is the subject of a large branch of physics called thermodynamics.
Thermal energy is calculated using the formula
= m c ΔT
m = mass = 15 kg = 0.015g
c = specific heat = 0. 235J/g∘C
ΔT = temperature change = 68 - 30 = 38
= 0.015 * 0.235 * 38
= 0.13395 J
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Pls help (geometry math)
Answer:
5y-31=29
y=12
7x-17=39
x=7
PR=2×(6x-2y)=18
PT=9
carl earn 25 dollars per week mowing lawns in his neighborhood. Which expression can be used to show how much money he earn in 6 weeks
Answer:
(6 x 20) (6 x 5)
Step-by-step explanation:
We know
Earning per week $25
Earning 8 weeks
25 x 8 = ( 20 + 5) 8 = 20 x 8 + 5 x 8
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a point (x, y) on the graph of a function at which the derivative is either 0 or undefined
Answer:
Critical point
Step-by-step explanation: A critical point of a function y = f (x) is a point (c, f (c)) on the graph of f (x) at which either the derivative is 0 (or) the derivative is not defined. But how is a critical point related to the derivative? We know that the slope of a tangent line of y = f (x) at a point is nothing but the derivative f' (x) at that point.
If you are paid $1,750 biweekly and social security is 6.2% of your income, then determine the amount of your social security deduction in each pay period. a. $108.50 b. $100.32 c. $110.25 d. $105.80
If you are paid biweekly a total of $108.50 is deducted, thus leaving with a total of $1,569.50
Biweekly pay means you are paid once every two weeks, resulting in 26 paychecks per year.
According to the question,
The total amount we are paid = $1750
The social security tax = 6.2%
So, the deduction will be = 6.2% of$1750 = 0.062 * 1750
The deduction amount = $108.50
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Which value of a would make the following expression completely factored x2 – a ? A. 12. B. 36. C. 49. D. 81
Since it is not a perfect square that would factor the expression entirely, 12 would be the correct answer.
what is expression ?Math allows for addition, subtraction, multiplication, and division. Following is the structure of an expression: Calculator, number or variable, and expression The components of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) You can contrast phrases and expressions.
given
the correct value would be 12 as
it is not a perfect square that would make the expression completely factored.
Since it is not a perfect square that would factor the expression entirely, 12 would be the correct answer.
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if tx=13a and vx=a+12, find the value of a that makes quadrilateral tuvw a parallelogram
The value of a makes quadrilateral tuvw a parallelogram is 1.
What is the quadrilateral bisect?
If a quadrilateral is a parallelogram, then its diagonals bisect each other. If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
It should be noted that a quadrilateral simply means a four sides polygon that has four edges and four vertices, when the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram
We have,
tx=13a and vx=a+12,
To find the value of a that makes quadrilateral tuvw a parallelogram.
As the diagonal of quadrilateral bisects each other:
tx = vx
13a = a+12,
13a - a = 12
a = 12/12
a = 1,
Hence, the value of a makes quadrilateral tuvw a parallelogram is 1.
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Two step equations x + 6/13=2
Answer:
x = 20/13
Step-by-step explanation:
Change the constant to right side and change the sign
x = 2 - 6/13
Calculate the difference
x = 20/13
if x represents time and there is no end time, the domain will always be???
Answer:
Below
Step-by-step explanation:
0 ≤ t ≤ + ∞
PLEASE HELP ASAP!!!!!!
Answer:
the vdfjwhr
Step-by-step explanation:
the answer is
Answer:
Step-by-step explanation:
d
Evaluate the function when x=−2, 0, and 5. n(x) = −1 − x + 4
Step-by-step explanation:
at x=-2
n(-2) = −1 − (-2) + 4 = -1+2+4=5
at x=0
n(0) = −1 − 0 + 4 = 3
at x=5
n(5) = −1 − 5 + 4 = -2
Find the value of z in the triangle shown below.
T
sdfasdfasdfAnswer:a
Step-by-step explanation:
asdfasdfsdfsdf
Answer:
x = 49
Step-by-step explanation:
180 - 112 = 68
68 - 19 = 49
x = 49
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Find the standard equation for the hyperbola with Vertices at (3,4) and (3,-2); Co-vertices at (7,1)and(-1,1). Please include steps!
Check the picture below. So based on those provided vertices the hyperbola looks pretty much like that one, with the center between the vertices of course
[tex]\textit{hyperbolas, vertical traverse axis } \\\\ \cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2}) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=3\\ k=1\\ a=3\\ b=4 \end{cases}\implies \cfrac{(y-1)^2}{3^2}-\cfrac{(x-3)^2}{4^2}=1\implies \cfrac{(y-1)^2}{9}-\cfrac{(x-3)^2}{16}=1[/tex]
Evan cut a triangular piece of cloth to use in a quilt. The perimeter of the cloth is 934 cm. The base of the triangular cloth is 214cm. The remaining two sides are the same length.
Choose Yes or No to tell if each expression models how to find the length of the other two sides of Evan’s cloth.
934−2s=214
Choose...
114+2s=934
Choose...
2s=934−214
Choose...
2s−214=934
Choose...
Answer:
934−2s=214 and 2s=934−214
Step-by-step explanation:
To represent this situation, we need all three sides to add up to 934, which is the perimeter of the triangle. So we have:
[tex]214+2s=934[/tex]
Where s are the two remaining sides.
The first and third choice resembles this exact equation, but rearranged:
First equation:
[tex]934-2s=214\\934=214+2s[/tex]
Third equation:
[tex]2s=934-214\\214+2s=934[/tex]
The other two choices either have different operations or different values.
What is an equation of the line that passes through the points (5, 6) and
(-8, -7)?
Answer:
y=x+1
Step-by-step explanation:
because the rise is 13 and the run is 13, x is 1 or just x. The y intercept is 1 so y=x+1
The center of an ellipse is located at (0, 0). One focus is located at (12, 0), and one directrix is at x =. Which equation represents the ellipse?.
The equation for the ellipse is X² /169+Y² /25= 1
The standard equation for an ellipse is (x−h)² /b² +(y−k)² /a² =1
where
(h,k) = coordinates of the center
a b = semi-major and semi-minor axes
The center of the ellipse is at (0,0).
Therefore, h=0, k=0.
One focus is at (12, 0)
Therefore
c = 12
One directrix is at 14 1/12 = 169/12.
Because the directrix is located at x = a²/c, therefore
a²/12 = 169/12
a² = 169/144
a = 13
Because c² = a² - b², obtain
b² = a² - c²
= 169 - 144 = 25
b = 5
The equation for the ellipse is
X² /169+Y² /25= 1
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Answer: A
Step-by-step explanation: edge 2023
4. A pet shop had 300 canaries. This number decreased 83 1/3% due to sales how many canaries were sold?
can someone also show the work please help a girl out worth 30 points
Answer: 250
Step-by-step explanation: 83 and 1/3 is equal to 0.833 in decimals, and you just need to multiply 300 by 0.833 and you get 249.9, which is rounded to 250
Graph the ordered pairs for y= 2x + 4 using x = {-2, 1, 2}.
A local citizen wants to fence a rectangular community gardenn. The length of the garden should be at least 110ft,and the distance around should be no more than 380ft. Write a system of inequality that model the possible dimensions of he garden. Graph the system to show all possible solutions
The system of inequality that models the fencing of the garden as desired by the local citizen is
x ≥ 110 feet 2(x + y) ≤ 380 feetthe graph is attached
How to write inequality equationThe inequality equation is written by deucing some information given in the problem
The length of the garden should be at least 110ft
length, x ≥ 110 feet
the distance around should be no more than 380ft
the distance around is the perimeter, P ≤ 380 ft
let the width be y
P = 2(L + w)
2(x + y) ≤ 380
the required equations is are x ≥ 110 feet and 2(x + y) ≤ 380
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GEOMETRY The circumference of a circle C with a radius of r units
is approximately given by the linear equation C ≈ 6.3r. Find two
solutions of this equation. Explain each solution.
The equation of circle does not have any solution
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.
The circumference of a circle C with a radius of r units is approximately given by the linear equation C = 6.3r.
We need to find two solutions of this equation
The circumference of circle is 2πr
2πr= 6.3r.
The equation does not have solutions
Hence, the equation of circle does not have any solution
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Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly membership fee. The equation y=48x+40y=48x+40 represents what Health Club A charges. Health Club B charges a $35 sign-up fee and $36 per month.
Use the dropdown menu and answer-blank below to form a true statement.
Health club B cost $17 more in monthly membership than health club A.
What is equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
y = 48x + 40
Write the equation for the charges of club B as shown below,
y = 36x + 35
Calculate the charge for one month for both clubs,
Charges for club A = 48 × 1 + 40
Charges for club A = 88
Charges for club B = 36 × 1 + 35
Charges for club B = 36 + 35
Charges for club B =71
Thus, the charge of club B is $17 more than club A.
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x divided by 0.4 = 2 1/9 divided by 3 1/9
urgent!!
The value of x is 19/70.
According to the question,
x ÷ 0.4 = [tex]2\frac{1}{9}[/tex] ÷ [tex]3\frac{1}{9}[/tex]
x ÷ 0.4 = [tex]\frac{19}{9}[/tex] ÷ [tex]\frac{28}{9}[/tex]
[tex]\frac{x}{0.4}[/tex] = [tex]\frac{19}{9}[/tex] × [tex]\frac{9}{28}[/tex]
[tex]\frac{x}{0.4}[/tex] = [tex]\frac{19}{28}[/tex]
x = [tex]\frac{19}{28}[/tex] × 0.4
= [tex]\frac{19}{70}[/tex]
Hence, the value of x is 19/ 70.
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The complete question is:
If x divided by 0.4 = 2 1/9 divided by 3 1/9, What is the value of x ?
there is a sale for pebbles. 1KG is $4.50, how many kilograms you can buy with $10
2 kg of pebbles we can purchase by using $10.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that there is a sale for pebbles
1KG of pebbles cost is $4.50.
We need to find how many kilograms of pebbles we can purchase by 10.
Let x be the pebbles we purchase for $10.
Let us form an equation
4.5/1=10/x
x=10/4.5
x=2.2
Hence, 2 kg of pebbles we can purchase by using $10.
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the man wondered if his rent included heat
Answer:
Yes
Step-by-step explanation: Not enough context.
What is pie graph and example?
Answer: circular charts divided up into segments which each represent a value
Step-by-step explanation:
Match the phrase on the left to the correct algebraic expression on the right.
eight more than a number cubed
eight less than a number squared
the difference of eight and
twice a number
the quotient of eight and
a number increased by two
8-2n
8+n³
n²-8
8+2
n
Answer:
[tex]\textsf{eight more than a number cubed} \longrightarrow 8+n^3[/tex]
[tex]\textsf{eight less than a number squared} \longrightarrow n^2 - 8[/tex]
[tex]\textsf{the difference of eight and twice a number}\longrightarrow 8-2n[/tex]
[tex]\textsf{the quotient of eight anda number increased by two } \longrightarrow \dfrac{8}{n} + 2[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
