Answer:
x = 136
Step-by-step explanation:
x = 180 - 22 - 22
= 136
The temperature fell at a rate of 0.65 °C/h. The temperature was recorded at 37 °C
at 6 p.m. Which function can be used to represent this situation?
Of(x) = 37 -0.65x
Of(x) = 0.65x - 37
Of(x) = 37x + 0.65
Of(x) = 0.65x+37
The linear function that can be used to represent the temperature in x hours after 6 pm is given by:
f(x) = 37 - 0.65x.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem:
The y-intercept is the initial temperature of 37ºC.The slope is the rate of change of -0.65ºC/h.Hence the function is:
f(x) = 37 - 0.65x.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
A survey of 100 high school students provided this
frequency table on how students get to school:
Drive to Take the
Grade
Walk
School
bus
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
What is the probability that a randomly selected student
is a junior?
?
P (Junior)
=
Answer:
35/100
Step-by-step explanation:
You have to find how many juniors there are, so if you add 13, 20, and 2 you get 35. For the denominator you have to find the total number of students, so just add all of the numbers together to get 100. So there is a 35/100 chance that a randomly selected student is a junior.
Answer: 7/20
Step-by-step explanation:
b) The unit digit of a two-digit number is 1 less that the tens digit. If the number is increased by 8 and then divided by the sum of the digit, the result is 8. Find the number b ) The unit digit of a two - digit number is 1 less that the tens digit . If the number is increased by 8 and then divided by the sum of the digit , the result is 8. Find the number.
Answer:
The number is 32
Explanation :
Let the 2 number digit be 10x + z
Solution:
X-z=1
(10x+z+8) / (x+z) =8
10x+z+8=8x+8z
2x-7z-(2x-2z)=-8-2
-5=-10
Z = 10/5
Z =2
X=1+2
X=3
10×3+2 = 30 +2 = 32
The answer is 32
in the adjoining figure prove that<A+<B+<C+<D+<E is equal 180
It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°
How to find the sum of angles of a polygon?
The adjoining star contains a regular pentagon. Thus;
Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°
Thus;
Each interior angle of the pentagon = 540/5 = 108°
Thus, each exterior angle = 180 - 108 = 72°
Then measure of the angle at the vertex = 180 - 72 - 72 = 36°
Thus, each angle at the vertices of the star have an angle of 36°.
There are 5 star vertices and so;
Sum of angles of 5 star vertices = 5 * 36 = 180°
Read more about Angles in a Polygon at; https://brainly.com/question/1592456
#SPJ1
Sam is baking cakes at her parents' bakery. She gets paid $20 a week in addition to $4 for every cake she bakes. She made $60 this week. Write an equation to show how many cakes Sam baked this week
An equation is formed of two equal expressions. The number of cakes that are made by Sam this week is $10.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Sam gets paid $20 a week in addition to $4 for every cake she bakes. Let y be the total amount that is made by Sam this week, while x represents the number of cakes she bakes. Therefore, the equation for the total amount made by sam in a week can be written as,
y = 20 + 4x
Since her total income for this week is $60, therefore, we can write,
60 = 20 + 4x
40 = 4x
x = 10
Hence, the number of cakes that are made by Sam this week is $10.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1
Gaston has budgeted $475.00 for spending money on his trip to Zambia. If the current exchange rate is 1 U.S. dollar:12 Zambian kwacha, how many kwacha will Gaston have to spend?
3,958
4,500
5,700
6,200
Answer:
3,958 kjksjjdkskdjdjd
What is the area of parallelogram ABCD?
The __________ and the _________ are two of the most popular and useful methods of standardizing for size and comparing distributions.
The proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.
Methods of standardizationProportion is the fraction of favorable cases from the total number of cases. It is defined for both population and sample.
Median is defined as the numeric value separating the higher half of a sample, a population, or a probability distribution, from the lower half of it.
Therefore, the proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.
Learn more about methods of standardization here:
https://brainly.com/question/14532771
#SPJ12
A television is 28.5 inches wide and 16 inches long.
Using the Pythagorean Theorem, what is the length of the diagonal of the television, rounded to the nearest inch?
a.)
45 inches
b.)
22 inches
c.)
33 inches
d.)
24 inches
Answer:
C) 33 inches
Step-by-step explanation:
A^2 + B^2 = C^2
812.25 + 256 = C^2
1068.25 = C^2
32.684 = C
Hope this helps! Pls mark me as brainliest :)
t(3^3\ 3^4)^5
help!!
The final expression will be given as [tex][\dfrac{1}{243}][/tex] , where the numerator is 1 and the denominator is 243.
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.
Given expression:-
E = [tex][\dfrac{3^3}{3^4}]^5[/tex]
The ratio will be solved by elimination three times 3 with the denominator having four times three.
E = [tex][\dfrac{1}{3}]^5[/tex]
We will calculate the three to the power five now which is 243.
E = [tex]\dfrac{1}{243}[/tex]
Therefore the final expression will be given as [tex][\dfrac{1}{243}][/tex] , where the numerator is 1 and the denominator is 243.
To know more about expression follow
https://brainly.com/question/723406
#SPJ1
please help me with my math
Answer:
x=115⁰
z=27⁰
Step-by-step explanation:
65+x=180 -> Due to same side interior being equal to 180 degrees
x= 115
x = 3z + 34 -> opposite interior being equal
115 = 3z + 34
81 = 3z
divide by 3 on both sides
z=27
Jacob and his sister, jenny, share the job of cutting the grass in their yard. jacob cuts 2 of the yard, and jenny cuts the rest can cut 3/4 of an an entire tard of an hour
Answer:
okay
Step-by-step
no of yards they cut in an hour
Jacob = 2 yard
jenny 3/4 of a yard
no of yards it will take jenny to cut 3 yards = 4 hours
8. (08.03 LC)
A set of equations is given below:
Equation C: y = 3x+7
Equation D: y = 3x + 2
How many solutions are there to the given set of equations? (1 point)
One solution
OTwo solutions
O Infinitely many solutions
No solution
Answer: No solution
Step-by-step explanation:
The red line is y=3x+7 and the blue line is y=3x+2
The lines do not intersect at any time. Therefore, this set of equations has no solution. I hope this helps! Pls mark brainliest!! :)
solve 15/4 -7 X=9 answer the question
[tex] \frac{15}{4} - 7x = 9 \\ \\ \frac{15}{4} - 9 = 7x \\ \\ 7x = \frac{15 - 36}{4} \\ \\ 7x = \frac{ - 21}{4} \\ \\ x = \frac{ - 21}{4 \times 7} \\ \\ x = \frac{ - 3}{4} .[/tex]
Work out the length of x.
Give your answer rounded to 3 significant figures.
8.6 cm+
x
The diagram is not drawn accurately.
Answer:
12.2cm
Step-by-step explanation:
Follow the steps in the image I send you to learn it if you don't get it tell me.
The class-mark of the class 80-90 is
Answer:
maths/hindi
Step-by-step explanation:
EMERGENCY!! 25 POINTS!!
Make a table for the following data.
a) English, Maths, Urdu, Science, English, Urdu, Science, Maths, English, Computer, Maths, Urdu, Science, Maths, Computer, English.
Using tally marks make a table of the given subjects English (4), Urdu (3), Maths (4), Science (3) and Computer (2).
The given data are English, Maths, Urdu, Science, English, Urdu, Science, Maths, English, Computer, Maths, Urdu, Science, Maths, Computer, and English.
What is a data table?A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.
The data table for the given data is given below:
Thus, using tally marks make a table of the given subjects English (4), Urdu (3), Maths (4), Science (3) and Computer (2).
To learn more about the data table visit:
https://brainly.com/question/17084863.
#SPJ1
Answer:
huh
Step-by-step explanation:
Iliana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3?
3 p minus 2; when p = 3 the number of plants is 7
3 p + 2; when p = 3 the number of plants is 11
p cubed minus 2; when p = 3 the number of plants is 25
p cubed + 2; when p = 3 the number of plants is 29
The correct answer is option D which is p ³+ 2; when p = 3 the number of plants is 29.
The complete question is given below:-
liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29
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.
The given expression is liana cubed the number of flowering plants in her garden, then added 2 vegetable plants.
If she cubed the number of the plants will be:- P³
Now she added two vegetable plants:- 2
Then the equation will be:- p³ + 2. Now we will put the value of p = 3 in the equation.
Total number of the plants = ( 3 )³ + 2 = 27 + 2 = 29
Therefore the correct answer is option D which is p³+ 2; when p = 3 the number of plants is 29.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ1
Find the area of following quadrilateral
Answer:
[tex]222cm^{2}[/tex]
Step-by-step explanation:
First we will find the length of BD.
By Pythagoras' Theorem,
[tex]c^{2} =a^{2} +b^{2} \\BD^{2} = AD^{2} +AB^{2} \\BD^{2} =12^{2} +16^{2} \\BD^{2} = 144+256\\BD^{2} =400\\BD = \sqrt{400} \\=20cm[/tex]
Now we will find Angle ADB.
[tex]\frac{AB}{sin(Angle ADB)} =\frac{BD}{Sin(AngleBAD)} \\\frac{16}{sin(AngleADB)} =\frac{20}{sin(90)} \\20sin(AngleADB)=16sin(90)\\20sin(AngleADB)=16\\sin(AngleADB)=\frac{16}{20} \\sin(AngleADB)=0.8\\AngleADB=sin^-1(0.8)\\=53.130deg\\[/tex]
Now we will find Area of triangle BCD
[tex]Angle BDC = 90 - Angle ADB = 90 - 53.130 = 36.87deg\\\\\\Area of Triangle BCD \\= \frac{1}{2} (BD)(CD)sin(AngleBDC)\\=\frac{1}{2} (20)(21)sin(36.87)\\= 126cm^{2}[/tex]
Then we will find the area of triangle BAD
[tex]=\frac{1}{2} (16)(12)\\= 96cm^{2} \\[/tex]
Area of quadrilateral = Area of Triangle BCD + Area of Triangle BAD
= 126+96
= [tex]222cm^{2}[/tex]
Answer:
A = 222 cm²Step-by-step explanation:
it is a trapezoid
so
A = ½ (a + b) h
A = ½ (16 + 21) × 12
A = ½ 37 × 12
A = ½ 444
A = 222 cm²
What is the least common
denominator?
3
-7
5
4xy'z ' 8xºy ' 12yz2
[ ? ]x[ y[ ]z Q
Z
Urgent!!……………………….. I NEED THE ANSWER!
Answer:
14 hours
Step-by-step explanation:
7h - 5(3h-8) = -72
7h - 15h + 40 = -72
-8h +40 = -72
-8h = -72 -40
-8h = -112
h = -112/ -8
h = 14
Solve for x
((x + 3)/4) + (((2x - 12) - 1)/3) = 1
Answer:
x=5
Step-by-step explanation:
[tex]((x+3)/4)+(((2x-12)-1)/3)=1\\\frac{x+3}{4} +\frac{2x-12-1}{3} =1\\\frac{x+3}{4} +\frac{2x-13}{3} =1\\[/tex]
Now we have to cross multiply the denominator to progress further.
[tex]\frac{3(x+3)}{4*3} +\frac{4(2x-13)}{3*4} =1\\\frac{3x+9}{12} +\frac{8x-52}{12} =1\\\frac{3x+9+(8x-52)}{12} =1\\\frac{3x+9+8x-52}{12} =1\\\frac{11x-43}{12} =1\\11x-43=12\\11x=43+12\\11x=55\\x=\frac{55}{11} \\=5[/tex]
Use the given graph to determine the limit, if it exists.
The limit [tex]\lim_{x \to \ 3^{+} } _f(x)[/tex] is equal to -3 for the function whose graph is being shown in the question.
Given Graph of a function.
If we see the graph carefully then we can find that it is not a straight linear means it is not the graph of a linear function. From x=-10 to -3 the range is from 4 to -2 and from 3 onwards it is a straight line at y=-3. means when we put the value of x in the function equal to or less than 3 then we gets different answers than the values equal to or greater than 3 gives.
Because the graph is linear from x=3 onwards so the limit of the function will be -3.
Hence the limit [tex]\lim_{x \to \ 3^{+} } f(x)[/tex] is equal to -3.
Learn more about functions at https://brainly.com/question/10439235
#SPJ10
OA x + 2y ≤ 5
and 3x + y ≥ 4
OB. + 2y ≤ 5
and
3x + y ≤ 4
OC. I + 2y 25
and
3x + y ≤ 4
OD. x + 2y 25 and
3x + y ≥ 4
-7-6-5-4-3-2-1
9465
12.3.4.5.6
Answer:
5
Step-by-step explanation:
5
Write 5.54 million in ordinary form
Answer:
5,540,000Step-by-step explanation:
Write 5.54 million in ordinary form
5.54 * [tex]10^{6}[/tex] =
5540000
or
5.54 * 1000000 =
5540000
Write a quadratic function f whose zeros are 2 and 7.
Answer:
f(x) = (x - 2)(x - 7)
Step-by-step explanation:
an easy way to write a quadratic function who has zeroes of certain numbers is to use this format- f(x) = a(x - p)(x - q)
in this format
the p and the q are both zeroes
it does not matter what the a value is
an example for when the zeroes are 2 and 7 could be
f(x) = (x - 2)(x - 7)
On average, 5 of every 200 customer calls at company A are complaint calls. What percentage of company A’s customer calls are complaint calls ?
Where is the error in the proof? select all that aply
The correct answer is option D the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB
What is the Linear pair theorem?The linear pair postulate or linear pair theorem in mathematics states the same thing mathematically. The sum of the measurements of two angles that make up a linear pair is 180°.
In the proof of the given question, it is given that the ∠AOP and ∠POB are complementary angles by linear pair of theorem but the linear pair of the theorem is applied to the angles with the sum of 180.
Therefore the correct answer is option D the error is that the linear pair of the theorem can not be used to say that ∠AOP is complementary to ∠POB
To know more about the Linear pair theorem follow
https://brainly.com/question/5598970
#SPJ1
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Answer:
Step-by-step explanation:
f(x) = x^2 – 5x + 12
The value of f(–10) = 82? NO
f(-10) = (-10)^2 – 5(-10) + 12
f(-10) = 100 + 50 + 12
f(-10) = 162
NO
The graph of the function is a parabola. YES
See attached graph.
YES
The graph of the function opens down. NO
See attached graph.
The graph contains the point (20, –8). NO
See graph
----
Plus we can use x=20 in the function and see if it returns -8:
f(x)=x^2-5x+12
f(20)=(20)^2-5*(20)+12
f(20) = 400 - 100 + 12
f(20) = 312 It does not result in -8
The graph contains the point (0,0). NO
See graph
Use the distance formula to find the perimeter of the triangle below. Round you answer to the nearest hundredth.
jAlright, let's take this problem step-by-step:
What is the perimeter:
⇒ all the side-lengths added up
⇒ need to find side-length using distance formula
[tex]Distance_._. Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
- (x₁,y₁): first point
- (x₂,y₂): second point
Let's solve:
Find length of AC⇒ first point: (5,7)
⇒ second point: (3,3)
[tex]Distance =\sqrt{(3-5)^2+(3-7)^2} =\sqrt{4+16} =\sqrt{20} =4.472[/tex]
Find length of AB⇒ first point: (5,7)
⇒ second point:(8,6)
[tex]Distance=\sqrt{(8-5)^2+(6-7)^2} =\sqrt{9+1} =\sqrt{10}=3.162[/tex]
Find length of BC⇒ first point: (8,6)
⇒ second point: (3,3)
[tex]Distance = \sqrt{(3-8)^2+(3-6)^2} =\sqrt{25+9} =\sqrt{34}=5.831[/tex]
Now let's solve for the perimeter:
[tex]Perimeter = 4.472+ 3.126+ 5.831=13.429[/tex]
Answer: 13.43 (rounded to the nearest hundredth)
Hope that helps!
#LearnwithBrainly