In order to predict the number of cats at that shelter with 30 dogs, we can use the given equation
c = 2.1d - 26
and make d = 30:
c = 2.1 * 30 - 26
Now, we need to develop the calculations to find c (we first solve the multiplication, and then the subtraction):
c = 2.1 * 30 - 26
= 63 - 26
= 37
Therefore, the predicted number of cats at that shelter is 37.
Which expression is an equivalent expression of 12x + 10 + 4y?
А. 2(6x + 2y+6)
B. 3(4x+y+ 10)
C. 2(6x + 4y+8)
D. 2(6x+5+2y)
12x+10+4y
= 2(6x+5+2y)
=D
Shen drank 24 fluid ounces of juice. How much is this in cups?
Use the table below. Include the correct unit in your answer.
Answer:
8 tomes 4 is 24
Step-by-step explanation:
there are 4 cups
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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What is 27^2/3 simplified
Answer:
3^3
Step-by-step explanation:
[27]^2/3 can also be written as,
[(3)^3]^2/3
Now we know that a^m * a^n = a^m+n, therfore,
[3]^ 3*2/3
Cut 3 and 3
Therefore, you get 3^3
Let me know if you understood. If you didnt I can try to explain it to you in another way.
Also, plz mark me as the brainliest!
I don’t know how to do it
\(\begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} ~\hspace{7em} \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\)
\(\log(x)=2\hspace{5em}\log(y)=3\hspace{4em}\log(2)\approx 0.3\hspace{4em}\log(3)\approx 0.48 \\\\[-0.35em] ~\dotfill\\\\ \log\left(\sqrt[3]{x^4\cdot y^2} \right)\implies \log\left(\left( x^4\cdot y^2 \right)^{\frac{1}{3}} \right)\implies \cfrac{1}{3}\log(x^4 y^2) \\\\\\ \cfrac{1}{3}[\log(x^4)~~ + ~~\log(y^2)]\implies \cfrac{1}{3}[4\log(x)~~ + ~~2\log(y)]\implies \cfrac{1}{3}[4(2)~~ + ~~2(3)] \\\\\\ \cfrac{1}{3}[8~~ + ~~6]\implies {\Large \begin{array}{llll} \cfrac{14}{3} \end{array}}\)
combine like terms to make a simple Hi, equivalent expression: 14-3+8x+7x
Answer:
11+15x
Step-by-step explanation:
combine 14 - 3 and 8x + 7x = 11 + 15x
Solve this system of equations by using the substitution method. y=2x-5 6x+7=y
Answer:
\(x = - 3 \: and \: y = - 11\)
Step-by-step explanation:
L
\(since \: y = 2x - 5(equation \: 1) \: \\ \)
\(substitute \: for \: y \: in \: equation \: 2 \: (6x + 7 = y)\)
\(6x + 7 = y \\ 6x + 7 = 2x - 5 \\ collect \: like \: terms \\ 6x - 2x = - 5 - 7 \\ 4x = - 12 \\ x = \frac{ - 12}{4} \\ x = - 3\)
\(substitute \: for \: x in \: equation \: 1\)
\(y = 2x - 5 \\ y = 2( - 3) - 5 \\ y = - 6 - 5 \\ y = - 11\)
Answer:
\(y = 2.x = \frac{1}{11} \)
Step-by-step explanation:\( \binom{x - 56x + 7 = y}{y = 2} \)
_______________________
1. Substitute y = 2 :
\((x - 56x + 7 = 2)\)
2. Simplify :
\(( - 55x + 7 = 2)\)
3. Isolate x for \(( - 55x + 7 = 2) : x = \frac{1}{11} \)
4. The solution of the system of equations are :
\(y = 2.x = \frac{1}{11} \)
what is 9.789 in word form?
Answer:
nine and seven hundred eighty-nine thousandths
Step-by-step explanation:
....
Answer:
nine and seven hundred eighty-nine thousandths
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Please Solve, Thank you!
Answer:
1711
Step-by-step explanation:
\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)
Make sure to follow order of operations!
Calculate the equivalent ratio 1.25 : 3.75 : 7.5
The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.
By multiplying each number in the ratio by 4, we get:
1.25 * 4 = 5
3.75 * 4 = 15
7.5 * 4 = 30
So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.
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Use the shell method to find the volume of the solid below the surface of revolution and above the xy-plane. (Give your answer correct to 3 decimal places.) The curve z sin(y), (0 y π), in the yz-plane is revolved about the z-axis.
V = 19.739 is the volume of the solid below the surface of revolution and above the xy-plane.
What is the solid's volume?
The amount of space that a solid occupies is expressed in terms of its volume. It is calculated using the quantity of unit cubes required to completely fill the solid.
We have 30 unit cubes in the solid after counting the unit cubes, hence the volume is 2 units. 3 units 30 cubic units from 5 units.
Given Curve
z = sin(y) , (0 ≤ Y ≤ π)
It's on the y-z plane to see the volume of revolution.
It is the upper portion of the sine curve, from 0 to π, revolved around the z - axis.
A differential area element is then dA = z dx. Revolving this around the z - axis gives the differential volume element,
dV = 2πr dA
dV = 2π (z dx)
dV = 2πy sin(y) dx
Then, integrating (I used integration by parts, u = y, dv = sin(y) dy)
V = 2π{ - y cos(y) + sin(y)} evaluated between π and 0
V = 2π{ ( - π cos(π) + sin(π)) - ( - 0*cos(0) + sin(0)) }
V = 2π²
Then, to 3 decimal places
V = 2(3.14159265)2
V = 19.739
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Trigonometry: Measure tal Excel In Opt. Mathematics - Book 9 ) If the number of degrees of a certain angle added to the number of gra same angle is 152, find the angle in degrees.
The angle in degrees is 873.1843.
Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).
According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.
Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.
Multiplying both sides of the equation by 180/π, we get:
θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843
Thus, the angle in degrees is 873.1843.
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Solve for x to the nearest degree.
Answer:
Using Pythagoras Theorem, squareroot 15^2 - 5^2.
After you found the opposite length, use the cosine rule to find angle x.
Can someone help me find \(\frac{8}{7} = m + \frac{2}{8}\)
Answer:
m=25/28
Step-by-step explanation:
Which standard form of the equation of the hyperbola has vertices at (12, 0) and (–12, 0), and asymptotes y equals plus or minus five twelfths times x question mark y squared over 25 minus x squared over 144 equals 1 y squared over 144 minus x squared over 25 equals 1 x squared over 25 minus y squared over 144 equals 1 x squared over 144 minus y squared over 25 equals 1
The standard form of the equation of this hyperbola with vertices at (12, 0) and (–12, 0) is: y squared over 144 minus x squared over 25 equals 1.
How to determine the equation of the hyperbola?Mathematically, the standard form of the equation of a hyperbola is represented by this mathematical expression:
(y - k)²/a² - (x - h)²/b² = 1 .......equation 1.
Where:
a represents the semi-major axis.b represents the semi-minor axis.h and k represents the center.y and x represents the point.From the information provided above, we have the following parameters:
Vertices = (12, 0) and (–12, 0)
h = 0
k = 0
Asymptote = ±5/12(x) = bx/a ......equation 2.
Comparing equation 1 and equation 2, we have:
b = 5
a = 12
Substituting the given parameters into the the standard form, we have;
(y - k)²/a² - (x - h)²/b² = 1
(y - 0)²/12² - (x - 0)²/5² = 1
(y - 0)²/144 - (x - 0)²/25 = 1
y²/144 - x²/25 = 1
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Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week. Billy exercised for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Which statement best describes the methods used by Amanda and Billy to increase the time they spent exercising? Amanda's method is linear because the number of minutes increased by an equal number every week. Billy's method is linear because the number of minutes increased by an equal factor every week. Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal factor every week. Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal number every week.
Answer:
Amanda's method is linear because the number of minutes increased by an equal number every week. Billy's method is linear because the number of minutes increased by an equal factor every week
Step-by-step explanation:
Amount of exercise in minutes for Amanda : 10 , 20 , 30 , 40
Amount of exercise in minutes for Billy : 10 , 20 , 40 , 80
Amanda's amount of exercise increases 10 minutes each week
10 + 10 = 20 20 + 10 = 30 30 + 10 = 40
Billy's amount of exercise increases by factor 2 each week
10 x 2 = 20 20 x 2 = 40 40 x 2 = 80
Answer:a
Step-by-step explanation:
What is 0.25 as a percentage
Answer:
25% that is ur answer
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
Have a great day or night!
please help! (its in the pic) thank you! :)
The lowest recorded temperature in Wisconsin is -55°F on February 4, 1996. Use the expression 5(F-32)/9 to find this temperature in degrees Celsius. Round to the nearest tenth. Explain its meaning
Answer:
-48.3° Celsuis
Step-by-step explanation:
Mark as brainllest
Evaluate (x + 5)2 + 8 for x = -3.
O A. 72
O B. 17
C. 33
O D. 12
What value is needed to complete the square? Show all steps.
x^2-6x+__
How do I write 7^2x-3
in a(b^x) form
Answer: \(\frac{1}{343}\left(49^x\right)\)
==============================================
Work Shown:
\(7^{2x-3} = 7^{2x}*7^{-3}\\\\7^{2x-3} = 7^{-3}*7^{2x}\\\\7^{2x-3} = \frac{1}{7^3}*\left(7^{2}\right)^{x}\\\\7^{2x-3} = \frac{1}{343}*\left(49^x\right)\\\\\)
The answer is in the form a(b^x) where,
a = 1/343
b = 49
Phoebe is 3 years less than half her brother’s age. Phoebe is 13 years old. Her brother is b years old. Write an equation that could be used to find her brother’s age.
plzzzzzz help
Answer:
dont know dont care
Step-by-step explanation:
u should pay more attention to what you lesson/teacher is teaching you
If x and y are positive integers such that 5x+3y=100, what is the greatest possible value of xy? please include steps. Thank you!
Answer:
The greatest possible value of xy is 165.
Step-by-step explanation:
9. square
A =
s= 15 ft
Answer:
225 square feet
Step-by-step explanation:
If one side = 15 ft, and it's a square, you do 15 x 15 = 225 square feet
Hope that helps!
Plz helpppp I will give the brainliest help me plz
Answer:
36
Step-by-step explanation:
Let the original quantity of marbles of the bag be y.
\(\frac{2}{3} (\frac{1}{2} )y=12\)
y=36
What is the measure of L? A. 25 B. Cannot be determined C. 39 D. 32
The required measure of ∠L=25° for the given triangle.
What is a Triangle?A triangle is a closed shape composed of three angles, three sides, and three vertices. It is one of the most fundamental geometric forms and is represented by the symbol Δ.
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.:
∠KJL = ∠JLK
Substitute ∠KJL = 25° into ∠KJL = ∠JLK: 25° = ∠JLK
∠JLK = 25°
Thus, the required measure of ∠L=25°.
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question a newspaper editor wants to investigate whether residents of the city support a proposal to build a new high school football stadium. the editor hires a polling firm to conduct a survey and requests that a sample of 500 residents be selected using a stratified sampling design based on voting districts within the city. which of the following methods will achieve the desired sampling design?
Select a random sample from each voting district based on the proportion of city residents in the district so that a total of 500 is obtained.
The correct option is (B).
Now, According to the question:
Stratified sampling design divides the given population into small sub-groups called strata. The members of each strata share some common features and at any particular time, a sample is randomly selected from each stratum which is then compared to the entire population. During random sampling, a number proportional to the stratum size is selected from all strata. The randomly selected samples from each strata are then combined to form a common random sample.
Considering that the editor wants to adopt stratified sampling, option B fits (Select a random sample from each voting district based on the proportion of city residents in the district so that a total of 500 is obtained.)
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The complete question is this:
A newspaper editor wants to investigate whether residents of the city support a proposal to build a new high school football stadium. The editor hires a polling firm to conduct a survey and requests that a sample of 500 residents be selected using a stratified sampling design based on voting districts within the city. Which of the following methods will achieve the desired sampling design?
(A) Send a survey to all city residents and use the first 500 returned surveys for the sample.
(B) Select a random sample from each voting district based on the proportion of city residents in the district so that a total of 500 is obtained.
(C) Select one voting district at random, and then select a random sample of 500 from the selected voting district.
(D) Alphabetize a list of all city residents, and then select the first 500 residents on the list, classifying those selected by voting district.
(E) Select the first 500 city residents who attend the next high school football game.
help please. answer quickly!!!!
Answer:
plot the following points:
(-1, 1/2) (0, 1) (1, 2) (2, 4) (3,8)
Step-by-step explanation:
Draw a diagram and solve the problem below to see how far Cecil went on the tightrope.
7+(−6)+18 =