Answer:
C
Step-by-step explanation:
Add 12a + -16a
Add 26 + -4b
The number of chirps per minute, C, that the tree cricket makes is linearly dependent on the temperature, T, in Fahrenheit. The crickets do not chirp at all at 45 degrees and at 75 degrees they chirp about 126 times per minute. A) Express the number of chirps, C, in terms of the temperature, T. C= B) How many chirps per minute will crickets make at 90 degrees? chirps per min.
Answer:
The answer is below
Step-by-step explanation:
A linear equation is represented by the equation y = mx + b, where m is the rate of change, b is the value of y at x = 0, y is a dependent variable and x is an independent variable.
a) Given that number of chirps per minute, C is dependent on the temperature, T, when T = 45 degrees, C = 0, this can be represented as (45, 0).
Also at 75 degrees, C = 126 it can be represented as (75, 126).
Using (45, 0) and (75, 126), we can determine the equation of the line from:
[tex]C-C_1=\frac{C_2-C_1}{T_2-T_1}(T-T_1)\\ \\C-0=\frac{126-0}{75-45}(T-45)\\ \\C=4.2(T-45)\\\\C=4.2T-189\\\\[/tex]
b) At t = 90°:
C = 4.2(90) - 189
C = 189 chirps per min
a. The expression of the number of chirps should be C = 4.2T - 189
b. The number of chirps per minute should be 189 chirps per min.
Calculation of an expression & number of chirps:Since The crickets do not chirp at all at 45 degrees and at 75 degrees they chirp about 126 times per minute.
So, here we used (45, 0) and (75, 126), we can measure the equation of the line from
[tex]C- C_1 = \frac{C_2-C_1}{T_2-T_1} (T_2 - T_1)\\\\C- 0 = \frac{126-0}{75-45} (T - 45)\\\\[/tex]
C = 4.2(T - 45)
C = 4.2T - 189
b. When T = 90 degrees
So,
C = 4.2(90) - 189
= 189 chirps
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4. What is the sum of trigonometric ratios Cos 16 and Cos 74?
A. 0.276
B 0.961
C. 1.237
D. 1.922
5. In triangle ABC , Tan angle A=3/4 . The hypotenuse of triangle ABC is
A 3
B 4
C. 5
D. 9
6. In triangle ABC , Sin angle B=14/17 . The hypotenuse of triangle ABC
A. 14
B17
C. 2sqrt(485 )
D. 0.824
7. In triangle ABC , Cos angle C=22/36 . The hypotenuse is
A, 22
B. 36
C.0.611
D. 2sqrt(445)
Answer:
1254.32
Step-by-step explanation:
add and subract
What is the equation of the line that passes through the point (5,-7) and has a
slope of zero?
Answer:
y=-7
Step-by-step explanation:
With a slope of zero there will be no x so you delete the slope from the equation y=0x-7 would become y=-7.
Answer:
Answer
5.0/5
8
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Answer:
y = 7 is the equation of the line that passes through the point ( -2, 7 ) and has a slope of zero.
Step-by-step explanation:
Given:
Let,
A ≡ ( x1 , y1 ) ≡ ( -2, 7 )
Slope = m = 0
To Find :
Equation of Line:
Solution:
Formula for , equation of a line passing through a point ( x1 , y1 ) and having a slope m is given by
Now substituting the values of x1 = -2 and y1 = 7 and slope m = 0 we get,
Which is the required equation of a line passing through the point ( -2, 7 ) and slope zero
Step-by-step explanation:
11.) The table shows four account transactions. Find the account balance after all the
account transactions if the account started at zero.
deposit $35
deposit
$25
withdrawal -$50
withdrawal -$25
Answer:
-15
Step-by-step explanation:
35+25=60
60-50=10
10-25=-15
David's car could cover one lap of the Indy 500 in about 90 seconds. Chris' car could cover one lap in about 54 seconds. If both cars left the same starting point at the same time, after how many seconds would they meet again at the starting point?
Answer:
h
Step-by-step explanation:
in Haritha haram,108,84 and 60 saplings of mango guava and sapota are supplied .find the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted
Answer: 21
Step-by-step explanation:
Given: Number of mango guava and sapota are supplied 108,84 and 60 respectively.
Since, 108 = 2 x 2 x 3 x 3 x 3
84 = 2 x 2 x 3 x 7
60 = 2 x 2 x 3 x 5
HCF(108,84,60) = 2 x 2 x 3 [HCF=Highest common factors]
= 12
Greatest number of plants in each row = 12
Number of rows for mango = [tex]\dfrac{108}{12}=9[/tex]
Number of rows for guava = [tex]\dfrac{84}{12}=7[/tex]
Number of rows for sapota = [tex]\dfrac{60}{12}=5[/tex]
Total rows = 9+7+5= 21
Hence, the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted = 21
Which is NOT a common denominator for 2/3 and 1/2 ?
A. 18
B. 12
C. 6
D. 3
Answer:
D: 3
Step-by-step explanation:
2 is not a factor of three
The number 3 can not be the common denominator for 2/3 and 1/2. The correct option is D.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Any number of equal parts is represented by a fraction, which also represents a portion of a whole. The number of components of a specific size is expressed as a fraction.
The fractions will have all the numbers 18, 12, and 6 as the common denominator but can not have 3 as a common denominator.
Therefore, the number 3 can not be the common denominator for 2/3 and 1/2. The correct option is D.
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The taxi fare in monopolis city is $1.50 for the first mile and additional mileage charged at the rate of $0.25 for each additional ½ mile. how many miles can you do for $10.00
Answer:
5
Step-by-step explanation:
if you add $1.50 +50 cents its $2.00 count by 2's until you get
to 10 and thats 5 how i got 50 cents 25 cents for a half mile
25+25 is 50.
Kya is mailing a package to her friend for her birthday. The United States Post Office charges her a flat fee of $8.50 for packing materials plus an additional $0.18 per ounce.
a. Define your variables:
b. Write a function that will help Kya determine how much it will cost to ship her package to her friend based on the weight of the package (in ounces).
c. Kya is trying to remember how much the package she sent weighed. She doesn’t remember the weight exactly, but she knows how much it cost her to mail the package. Write a function that will determine the weight of the package (in ounces) based on the total cost to mail the package.
d. It cost Kya $17.50 to mail her package to her friend. How much did the package weigh? Explain your solution, including the function, used to determine your answer.
Answer:
The answer is Y=8.5+0.18x
Step-by-step explanation:
Given data
Let the flat fee be $8.5
Let the additional fee per ounce be $0.18
Let the total amount to mail the package be y
Therefore the total amount is
Y=8.5+0.18x
The function is Y=8.5+0.18x
A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased by 40%.
Answer:217
Step-by-step explanation:
Below are two parallel lines with a third line intersecting them
X = ?
Answer:
The correct answer is x =55°
I need help with this, I´ĹL GIVE THE FIRST ANSWER BRAINLIEST
The first answer! jk will answer
The answer is 106.02, why? because CXP is virtually the same as SYD. Pls Brainliest! It would mean a lot! ;)
Answer:
I think it's C... Hi
I need help with scientific notations 9.691 x 10^7
Answer: 9.691x107
Simplifies to:
9.691x10000000
=9.691x10000000
Step-by-step explanation: haha hopes this helps!
If S = 2(lw + lh + wh) and l = 5w, rewrite the equation for S, substituting in 5w for l.
Answer:
S = 2w( 5w + 6h)
Step-by-step explanation:
given:
S = 2(lw + lh + wh)
if l = 5w, then we simply substitute this into the expression above.
S = 2[ lw + lh + wh ]
S = 2[ (5w)w + (5w)h + wh ]
S = 2[ 5w² + 5wh + wh ]
S = 2( 5w² + 6wh) simplify by factoring out w
S = 2w( 5w + 6h)
get a........................
(2x + 5)(2x + 1)
What is the area as a sum when given as a product?
Answer:
i really have no clue what ur asking so i will solve this the way i know how to
Step-by-step explanation:
4x^2+12x+5
Help me please find x to this answer I'm very desperate.
Answer:
I'm not 100% sure if I did it right but I got x=1
Step-by-step explanation:
They are equal to each other cause it is an isosceles triangle
10x-3=5x+2
add the 3 to both sides
10x=5x+5
subtract the 5x from both sides
5x=5
divide the 5 from both sides
x=1
the slope of the line...................
Answer:
Y=0/0
Step-by-step explanation: since their is no fall or rise in the slope it is 0
How can you find the area of a shape with fractional or decimal side lengths?
Answer:
You convert the fractions to a decimal, nut the rest is still the same
Step-by-step explanation:
Hi hope your having a good day please answer this
17. Name the word that matches the definition given: Figures that have the same shape but not necessarily the same size.
A. similar figures
B. scale factor
C. scale
D. congruent figures
Answer:
A
Step-by-step explanation:
What is the simplified form of
72x16
50x36
? Assume x+0.
6
5x10
6
5x2
10
Answer:
The simplified form is [tex]\frac{6}{5x^{10} }[/tex] ⇒ A
Step-by-step explanation:
To simplify a root divide the power of the variable by 2 to cancel itFactorize the coefficient of the variable and take out the repeated factor twice out the rootLet us solve the question
∵ The expression is [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex]
→ At first, divide simplify the coefficient of the variable
∵ [tex]\frac{72}{50}=\frac{36}{25}[/tex]
∵ 36 = 6 × 6 and 25 = 5 × 5
→ 6 and 5 repeated twice then the can go out the root one 6 and one 5
∴ [tex]\sqrt{\frac{36}{25}}=\frac{6}{5}[/tex]
→ Let us use the exponent rule with division [tex]\frac{a^{m} }{a^{n}}=a^{m-n}[/tex]
∵ [tex]\frac{x^{16}}{x^{36}}=x^{(16-36)}=x^{-20}[/tex]
→ To cancel the root divide the power by 2
∵ -20 ÷ 2 = -10
∴ [tex]\sqrt{x^{-20}}=x^{-10}[/tex]
∴ [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5}[/tex] × [tex]x^{-10}[/tex]
→ To change the power of x from (-) to (+) reciprocal x
∴ [tex]x^{-10}=\frac{1}{x^{10}}[/tex]
∴ [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5x^{10} }[/tex]
∴ The simplified form is [tex]\frac{6}{5x^{10} }[/tex]
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Answer:
I would say about 13 minutes.
Step-by-step explanation:
9 4/5 KPH is about 6.1224489795918 Kilometers per minute
Multiply by 2 1/5 KPM
6.1224489795918 x 2 1/5 = 13.4693877551 Minutes
Answer: 13.469 or about 13.5 minutes
Step-by-step explanation:
Estimating part:
The first number can be rounded to 10, and second number to 2
You can set up a proportional equation
[tex]\frac{10 kilometers}{60 minutes} = \frac{2 kilometers}{x}[/tex]
then cross multiply to get 10x=120, then divide to get x = 12 minutes
Exact answer:
I like making fractions into decimals to make it easier to see
The first number as a decimal is 9.8, and the second is 2.2
Set up another proportional equation
[tex]\frac{9.8 kilometers}{60 minutes} = \frac{2.2 kilometers}{x}[/tex]
cross multiply to get 9.8x = 132
divide by 9.8 on both sides to get x = 13.5 minutes
how do you decrease £56 by 14%
which is the farthest away from sea level,-3, -2, -0.8, 1/10, 1/2, 0.8, 7
Answer: 7
Of all the numbers listed, the number 7 is the greatest. If you are asking for the farthest from sea level, it is 7 because of the fact that it is the greatest number.
The answer is 7. Hope this helps!
Answer:
sea level is 0 so it would be 7
-3 -2-0.80<<<<<< sea level1/101/20.57Mari and Jen each work 20 hours a week at different jobs. Mari earns twice as much as Jen. Together they earn 480. How much does each girl earn?
Answer: Mari earns 320 and jen earns 160
pls help . ily ppl are so nice
Answer:
Equals
Step-by-step explanation:
You need to know the conversion rate for tons to pounds. 1 ton is equal to 2000 lbs so the answer is =.
Write an equation in slope-intercept form of the line with slope −1 that contains the point (5,−2).
Answer:
y=-x+3
Step-by-step explanation:
[tex]y-y_{1}=m(x-x_{1})\\ y-(-2)=-(x-5)\\y+2=-(x-5)\\y+2=-x+5\\y+2-2=-x+5-2\\y=-x+3[/tex]
Given m|n, find the value of x.
Answer:
x = 135°Step-by-step explanation:
external angles are equal
therefore, x = 135
What is the inverse of the function g(x)=5(x-2)
Answer:
[tex]\frac{x-2}{5}[/tex]
Step-by-step explanation:
The inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The inverse function is calculated as:-
y = 5 ( x - 2 )
Replace the variables with each other in the equation.
x = 5 ( y - 2 )
( x/5 ) = y - 2
y = ( x/5 ) + 2
Therefore, the inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
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on the number line between two consecutive whole numbers would square root of 7 be located at
Answer:
see explanation:
Step-by-step explanation:
We use the property that (all numbers being positive)
0 < a < b < c --> 0< a^2 < b^2 < c^2
so:
1 < 2 < sq(7) < 3 < 4 < 5
1 < 4 < 7 < 9 < 16 < 25