Answer:
C. (5,1)
Step-by-step explanation:
10x+5y=55 equation 1
y-2x=-9 equation 2
y=-9+2x isolate y in equation 2
10x+5(-9+2x)=55 substitute value of y from equation 2 into equation 1
10x-45+10x=55
20x=100
x=5
solve for y by using x value (5) in either equation
y-2x=-9
y-2(5)=-9
y-10=-9
y=1
Need Help Quick !!!!!!!!
Given:
The graph of a function.
As [tex]x\to -5^-, f(x)\to \_\_\_[/tex].
As [tex]x\to -5^+, f(x)\to \_\_\_[/tex]
To find:
The correct values for the given blanks.
Solution:
From the given graph it is clear that the function approaches to infinity as x approaches to -5 from the left side. So,
As [tex]x\to -5^-, f(x)\to \infty[/tex].
From the given graph it is clear that the function approaches to negative infinity as x approaches to -5 from the right side. So,
As [tex]x\to -5^+, f(x)\to -\infty[/tex].
Therefore, the correct option (d).
Triangles L M N and P O N connect at point N. Angles L M N and N O P are congruent.
Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation?
because both triangles appear to be equilateral
because∠MNL and ∠ONP are congruent angles
because one pair of congruent corresponding angles is sufficient to determine similar triangles
because both triangles appear to be isosceles, ∠MLN ≅ ∠LMN, and ∠NOP ≅ ∠OPN
Answer:
because one pair of congruent corresponding angles is sufficient to determine similar triangles.
Answer:
C
Step-by-step explanation:
If AABC= A DEF, which congruences are true by CPCTC? Check all that
apply.
APEC correct answer is:
AB =DE
AC= DF
See photo.
Answer:
Options A, B and D
Step-by-step explanation:
If the two triangles are congruent, their corresponding parts will be congruent.
If ΔABC ≅ ΔDEF
By the property of CPCTC,
AB ≅ DE
AC ≅ DF
BC ≅ EF
∠A ≅ ∠D
∠C ≅ ∠F
∠B ≅ ∠E
Therefore, Options A, B and D are the correct options.
The main hall of Grand Central Station in New York City is approximately 210,000 square feet.
(a) Estimate how many people could stand with enough room to turn around in the main hall of the station if there were an emergency which required that the station be used to shelter people.
(b) Explain how you came up with your estimate.
(c) If there are 4 million people in Manhattan, NY, on a typical workday, estimate the percentage of them that could be sheltered in the station.
(d) Explain how you came up with your estimate.
Answer:
a)
52,500 persons
b)
Assuming that a single person occupies 4 square feet of space.
Use the following formula to calculate the Numbers o person occupies the Grand Central Station in New York City
Numbers of person occupies the Grand Central Station in New York City = Total Space of Grand Central Station in New York City / Space occupied by each person
Where
Total Space of Grand Central Station in New York City = 210,000 square feet
Space occupied by each person = 4 squaure feet
Placing values in the formula
Numbers of person occupies the Grand Central Station in New York City = 210,000 square feet / 4 square feet per person
Numbers of person occupies the Grand Central Station in New York City = 52,500 persons
c)
1.3125%
d)
Use the following formula to calculate the percentage of people that could be sheltered in the station
Percentage of people shelter in the station = ( Numbers of person occupies the Grand Central Station in New York City / Total population in Manhattan ) x 100
Where
Numbers of person occupies the Grand Central Station in New York City = 52,500 persons
Total population in Manhattan = 4,000,000 persons
Placing values in the formula
Percentage of people shelter in the station = ( 52,500 / 4,000,000 ) x 100 = 0.013125 = 1.3125%
The number of persons will be "105,000 persons" and the percentage of 4 million that could be sheltered in the station will be "2.625%".
Given:
Total area,
A = 210,000 square feetTotal persons,
[tex]N_t[/tex] = 4 million(a)
→ [tex]Number \ of \ persons (N) = \frac{A}{Area \ covered \ by \ one \ person}[/tex]
By substituting the values, we get
[tex]= \frac{210000}{2}[/tex]
[tex]= 105000 \ per \ share[/tex]
(b)
This approximation comes from dividing a large or overall area by something like a portion of one individual.
(c)
→ [tex]Percentage \ share = \frac{N}{N_t}\times 100[/tex]
By substituting the values, we get
[tex]= \frac{10500000}{4\times 10^6}[/tex]
[tex]= 2.625[/tex] (%)
(d)
Using the method above that, the proportion of people throughout the living room will be calculated.
Thus the above response in appropriate.
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pls help i’ll mark brainliest if your right
Answer:
628 Cubic Yards
Step-by-step explanation:
When wiring a house, an electrician knows that the time she will take is given by the formula Time= 2 hours + 12 minutes per lightswitch. She charges her customers a call out fee of £35, plus £20 per hour. How much should a customer be charged for wiring a house with 10 lightswitches?
Answer:
Step-by-step explanation:
Time = 2 hrs + 12 min (10) = 4 hrs.
Cost = 35 + 20*4
Cost = 35+80
Cost = 115
9514 1404 393
Answer:
£155
Step-by-step explanation:
We can write the function describing the charges as a composition.
t(s) = 2 + 12/60s = 2 +s/5 . . . . . hours for s switches
c(h) = 35 +30h . . . . . . . . . . . . . charge for h hours
Then the charge for s switches is ...
f(s) = c(t(s)) = 35 +30(2 +s/5) = 35 +60 +6s
f(s) = 95 +6s . . . . . . . charge for installing s switches
The charge for 10 switches is then ...
f(10) = 95 +6·10 = 95 +60
f(10) = 155 . . . . pounds
The electrician should charge her customer £155 for wiring a house with 10 switches.
A road in Europe has a speed limit of 60 kilometers per hour. How many miles per hour is this?
Answer: 37.28 mph
Step-by-step explanation:
What is the sum of additive inverse and multiplicative inverse of 2?
answer fast
Answer:
-3/2
Step-by-step explanation:
Additive inverse of 2 = -2
Multiplicative inverse of 2 = ½
→ Sum = -2 + ½
→ Sum = (-4 + 1)/2
→ Sum = -3/2
Caroline is going to invest in an account paying an interest rate of 5.2% compounded continuously. How much would Caroline need to invest, to the nearest dollar, for the value of the account to reach $940 in 6 years?
Answer:
688
Step-by-step explanation:
For delta math
Find the sum and difference (first mixed number minus the second mixed number) for the following pair of mixed numbers. The answer should be written as a mixed number.
Answer:
Sum = 15 8/15, Difference = 1 2/15
Step-by-step explanation:
8⅓, 71/5
A. Sum
8⅓ + 7 1/5
Convert to improper fraction
25/3 + 36/5
Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:
[(25×5) + (36×3)] / 15
[125 + 108] / 15
233 / 15
Convert to mixed fraction
15 8/15
B. Difference
8⅓ – 7 1/5
Convert to improper fraction
25/3 – 36/5
Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:
[(25×5) – (36×3)] / 15
[125 – 108] / 15
17 / 15
Convert to mixed fraction
1 2/15
SUMMARY:
Sum = 15 8/15, Difference = 1 2/15
Any help 13 points
If the price of tacos is $1.75, how many will consumers buy?
Answer:
B-100 If the price of tacos is $1.75, th consumers will buy 100 tacos
Someone help me on this percent question
Answer: 6%
Hope it helps :)
Step-by-step explanation:
Price of mixer = 45.00$
Price of mixer with tax = 47.70
Tax added to the price of mixer = 45 - 47.70
= 2.70$
Percentage of Tax added to the price of mixer
= 2.70 = P multiplied by 45
(divide 2.70 by 45 and 45 by 45 as well)
= 0.06 = P
(we have to now convert the decimal to a percentage)
= 0.06 multiplied by 100 = P
6% = P
PLEASE HELP!!!
-Graphing Linear Inequalities
What is the difference between solid and dashed lines?
NEED ASAP
What is the product?
а-3
11
5
15а а-3
о
о
Cul —
за
о за
O3
Answer:
1/3a
Step-by-step explanation:
[tex] \frac{(a - 3)}{15a} \times \frac{5}{(a - 3)} = \frac{5}{15a} = \frac{1}{3a} [/tex]
A gas pump measures volume of gas to the nearest 0.01 gallon. Which measurement shows an appropriate level of precision for the pump?
Answer:
12.3 Gallons
Step-by-step explanation:
Options of the question:-
Option A. 12.33 gallons
Option B. 10 gallons
Option C. 12 gallons
Option D. 12.3 gallons
Option D is the answer :-
As the least count or zero error is 0.1 so it can measure only upto one decimal place so answer will be 12.3
What is the solution set to this equation? Log2(x - 2) + log2x = 3
The required, solution set to the given equation is {4}. Option A is correct.
What are logarithmic functions?A logarithmic function is a mathematical function that represents the logarithm of a number with respect to a given base. In other words, it is a function that relates a number to its logarithm. The general form of a logarithmic function is f(x) = logₐ(x).
Using the product rule of logarithms, we can combine the two logarithms on the left-hand side of the equation:
log2(x - 2) + log2x = log2[(x - 2) * x] = log2(x² - 2x)
So the given equation becomes:
log2(x² - 2x) = 3
2³ = x² - 2x
8 = x² - 2x
x² - 2x - 8 = 0
Factor this quadratic equation as:
(x - 4)(x + 2) = 0
x - 4 = 0, which gives x = 4
x + 2 = 0, which gives x = -2
However, the logarithm function is only defined for positive values of x, so the only possible solution is:
x = 4
Therefore, the solution set to the given equation is {4}.
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Khusbu needs 650 gm flour and 30 gm sugar to bake a cake. How much
flour and sugar does he need to bake same size of 6 cakes?
Answer:
4080 gm
Step-by-step explanation:
To bake one cake, it will take us 650 gm flour and 30 gm sugar. When we add both of them together, it gives 680 gm (650+30). But this is only for one cake. To find the total amount of flour and sugar needed to bake 6 cakes, we will have to multiply 680 by 6. That will give you 4080 gm which is your final answer.
C=2(y-k) solve for y
Answer:
[tex] \blue{y = \dfrac{C + 2k}{2}} [/tex]
Step-by-step explanation:
[tex] C = 2(y - k) [/tex]
[tex] C = 2y - 2k [/tex]
[tex] C + 2k = 2y [/tex]
[tex] \dfrac{C + 2k}{2} = y [/tex]
[tex] y = \dfrac{C + 2k}{2} [/tex]
4x^2 + 4y^2 - 24x - 32y + 72 = 0 is a circle. What is the radius of the cirlce?
Answer:
√7
Step-by-step explanation:
(4x²-24x)+(4y²-32y)= -72
(4x²-24x+36)+(4y²-32y+64)= -72+36+64
4(x-3)²+4(y-4)²= 28
(x-3)²+(y-4)²=7
The radius of the circle 4x² + 4y²- 24x - 32y + 72 = 0 is √7.
CircleWe know that the general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.
How to find the radius of the circle?The given equation is 4x² + 4y²- 24x - 32y + 72 = 0
Simplify the given equation in general equation for a circle.
(4x²-24x)+(4y²-32y)= -72
Add 100 on both side of equality
(4x²-24x)+(4y²-32y)+100= -72+100
(4x²-24x+36)+(4y²-32y+64)= 28
4(x-3)²+4(y-4)²= 28
(x-3)²+(y-4)²=7
(x-3)²+(y-4)²=(√7)²
Hence the radius of the circle is √7.
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1. If f(x)=4*, then which of the following is the value of f(-2)?
Answer:
what is the following
Step-by-step explanation:
For the matrices below. Find all (real) eigenvalues.
A= [7 9]
[0 9]
Answer:
The answer is "9 and 7".
Step-by-step explanation:
Given:
[tex]A=\left[\begin{array}{cc}7&9\\0&9\end{array}\right][/tex]
Using formula:
[tex]|A-\lambda \cdot I|= 0\\\\[/tex]
[tex]\to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]-\lambda \left[\begin{array}{cc}1&0\\0&1\end{array}\right] |=0\\\\\\ \to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]- \left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right] |=0\\\\\\\to|\left[\begin{array}{cc}7-\lambda &9\\0&9-\lambda\end{array}\right]|=0\\\\\\\to|(7-\lambda)(9-\lambda)|=0\\\\\to (7-\lambda)(9-\lambda)=0\\\\\to 7-\lambda=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 9-\lambda=0\\\\[/tex]
[tex]\to \lambda=7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lambda=9\\\\[/tex]
Write an equation of the line that has a slope of -3 and y-intercept 7 in slope-intercept form.
Answer:
Step-by-step explanation:
No. 1 “The printing of more
currency notes will increase inflation.”
Rewrite the following subtraction problem as an addition problem.
Answer:
x+129=592
Step-by-step explanation:
add 129 to each side
Price: 32.80
Sales Tax rate: 8.5%
Answer:
The new price of this thing you're buying is about $35.58.
Step-by-step explanation:
To find the new price you could find 8.5% of 32.80 then add it to 32.80. That would give you the new price, or you could simply find 108.5% of 32.80. That one has less steps, so Im going to go with that.
What is 108.5% of 32.80?
Let's set up an equation then solve.
108.5% · 32.80 = X
1.085 · 32.80 = 35.588
The new price of this thing you're buying is about $35.58.
find the equation of the line shown
y =6 x=4
y - 6 = 0 ................ equation 1
x - 4 = 0 ................ equation 2
what if cars did not exist plz be original
Answer:
If cars did not exist people could do as the did before they were invented. Such as walk to where they need to go or use a horse and buggy or carriage.
Step-by-step explanation:
What is the slope of the line?
I will mark the brainliest!
Answer:
1
Step-by-step explanation:
Slope = change in y over change in x
If you look at the graph as y goes up 1 x goes up 1
So slope = 1/1 or just 1
Answer:
m=1
Step-by-step explanation:
Hi there!
We're given the graph of a line and we need to find the slope of the line
There are many ways to do this, but the easiest is to calculate it from two points
The formula for the slope (m) calculated from 2 points is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) are points
So we can take 2 points from the graph of the line to find the slope
For example, let's take (-1,0) and (0,1)
Let's label their values to avoid any confusion before we substitute their values into the formula
[tex]x_{1}[/tex]=-1
[tex]y_{1}[/tex]=0
[tex]x_{2}[/tex]=0
[tex]y_{2}[/tex]=1
now substitute into the formula *remember: we have SUBTRACTION in the slope formula
m=[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
substitute
m=[tex]\frac{1-0}{0--1}[/tex]
simplify
m[tex]\frac{1}{0+1}[/tex]
simplify again
m=[tex]\frac{1}{1}[/tex]
divide
m=1
Therefore the slope of the line is 1
Hope this helps! :)
Which of these four sets of side lengths will form a right triangle? set 1 set 2 set 3 set 4
Answer:
hey um I cant see the picture
Parallelogram ABCD had coordinates A(0,7) and C(2, 1) Which statement will prove ABCD is a Rectangle?
The midpoint of AC is (1, 4).
The length of BD is √40.
The slope of BD is 1/3
The slope of AB is 1/3.
Answer:
Option (2)
Step-by-step explanation:
ABCD is a parallelogram having vertices A(0,7) and C(2, 1).
Therefore, length of diagonal AC = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(0-2)^2+(7-1)^2}[/tex]
= [tex]\sqrt{40}[/tex]
Since, diagonals of a rectangle measure the same and bisect each other,
Length of other diagonal BD will also measure [tex]\sqrt{40}[/tex].
Therefore, Option (2) will be the correct option.
the picture
says it
all
Answer:
B. L BAT = L CAT
Step-by-step explanation:
__________
