Answer:
2/9 * (-4 - 3) + 3
= 2/9 * (-7) + 3
= -14/9 + 3
= -14/9 + 27/9
= 13/9
Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be
Answer:
90 degrees
Step-by-step explanation:
Answer:
you didn't specify much!
So I am saying they are 45° each and that make the sum of both 90°
Step-by-step explanation:
According to the triangle sum theorem, all the angles in a triangle must add up to 180. If one angle is 90° the other two have to add up to 90°,
(a) Which of the following has only one subset? (1)
(i) {2} (ii) { } (iii) {Ǿ} (iv) None of these
Answer:
Option (i)
Step-by-step explanation:
{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.
Mark says that the number 2 is a rational number because he can write it as the fraction >
Is Mark correct? Why or why not?
O Mark is correct because the denominator, 1, is an integer.
Mark is correct because the fraction is equal to V2.
Mark is not correct because 2 is not equal to the fraction
✓
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Answer:
C and D.
Step-by-step explanation:
I am guessing that he wants to find if 2 is a rational number by comparing it to the fraction [tex]\frac{\sqrt {2}}{1}[/tex]
There are a couple of reasons why Mark is not correct:
1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.
2. The fraction [tex]\frac{\sqrt {2}}{1}[/tex] is not equal to 2, so, he is wrong.
So, C and D would be correct.
NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.
Answer:
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Step-by-step explanation:
This is the correct answer
brainliest pls
what is the square root of 0.49
Answer:
0.7
if you multiply 0.7 with 0.7 you get 0.49 so 0.7 is the square root
Hope this helps
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
0.49 = 49/100
√(49/100)
√49/√100
7/10
= 0.7
What formula tells the cost, in dollars, if
chocolate chip cookies are $1.50/dozen and
lemon frosteds are $ 1.00/dozen? Let c =
number of dozens of chocolate chip cookies; L=
number of dozens of lemon frosteds; T = total
charge.
Answer:
T = $1.50C + $1.00L
Step-by-step explanation:
Chocolate chip cookies - $1.50/dozen
C: # of dozens of chocolate chip cookies
↓
$1.50C
Lemon Frosteds - $1.00/dozen
L: # of dozens of lemon frosteds
↓
$1.00L
T(total) = $1.50C + $1.00L
Hope that helps.
I need help pls A certain university in the United States has a student enrollment of 19,100. Mr. Hill knows the percentage of students that are male and the percentage of students that are female. Suppose a student reaches in the bag and randomly selects nine red chips and eleven yellow chips. Based on this sample, what is a good estimate for the number of enrolled university students that are male?
Answer:
About 8595 students
Step-by-step explanation:
If approximately 9/20 of the students are male, multiplying this by the total number of students enrolled will give a good approximation of the total number of enrolled males. 9/20 * 19100=8595. Hope this helps!
Answer:
8595
Step-by-step explanation:
9/11 is the ratio of male to female
9/20 of students are male and 11/20 are female
If total number is 19100,
then male= 19100*9/20= 8595
Can someone please help me I really need help please help me thank you
Answer: x=14
Step-by-step explanation: The total is 180 degrees. The right angle is 90, the given angle is 76, so x is 14.
What is the domain of the function y=3/x-1?
O
-00
O-1
O 0
O 1
Answer:
x ≠ 1.
Step-by-step explanation:
In mathematics, anything divided by 0 is null. It is not valid. And so, in this case, x - 1 must never equal 0, but it can be any number other than 0.
x - 1 = 0
x = 1
That means that the domain of the function is x ≠ 1.
Hope this helps!
The value of domain is,
⇒ {- ∞, ∞} - {1}
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ y = 3 / (x - 1)
Now, We can find the domain as;
Here, The function is,
⇒ y = 3 / (x - 1)
Hence, Domain is,
⇒ {- ∞, ∞} - {1}
Thus, The value of domain is,
⇒ {- ∞, ∞} - {1}
Learn more about the function visit:
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the lowest number is 11 the range is 13 and the median is 17 what are the 3 numbers
Answer:
11, 17, and 28.
Step-by-step explanation:
[tex]x, y, z\\[/tex]
Lowest number is [tex]x[/tex]
Median is [tex]y[/tex]
Highest number is [tex]z[/tex]
[tex]x=11\\y=17\\\\z-x=17\\z-11=17\\z-11+11=17+11\\z=28\\\\x=11\\y=17\\z=28\\\\11, 17, 28[/tex]
The three numbers are 11 , 17 and 24
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first number be = a
Let the second number be = b
Let the third number be = c
And , the lowest number is 11
So , the value of a = 11
The median is 17
So , the value of the middle number b = 17
Now , the range of the three numbers = 13
So , the maximum value - minimum value = 13
Substituting the values in the equation for range , we get
c - a = 13
c - 11 = 13
Adding 11 on both sides , we get
c = 11 + 13
c = 24
Therefore , the value of a = 11 , b = 17 and c = 24
Hence , The three numbers are 11 , 17 and 24
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Simplify the expression in the following photo.
Answer:
0
Step-by-step explanation:
If we factor out √5a from the numerator we have √5a * (√4 - √9 + √1) / √5a. √5a cancels out so we are left with √4 - √9 + √1 which equals 2 - 3 + 1 = 0.
sorry i meant to put this picture.. for math
Answer:
Area = 4.5 cm²
Step-by-step explanation:
Area of Triangle ABD = [tex]\frac{1}{2} Base * Height[/tex]
Where Base = 3 cm, Height = 3 cm
So,
Area = 1/2 (3*3)
Area = 9/2
Area = 4.5 cm²
Please answer this question now
Answer:
17.3
Step-by-step explanation:
The following data were obtained from the question:
Angle T = 87°
Side T = t
Side V = 14
Side U = 11
The value of t can be obtained by using cosine rule as show below:
t² = u² + v² – 2uv cosT
t² = 11² + 14² – 2×11×14 cos 87°
t² = 121 + 196 – 308 × Cos 87°
t² = 300.88
Take the square root of both side
t = √300.88
t = 17.3
Therefore, the value of t is 17.3
If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.
Answer:
[tex]\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }[/tex]
Step-by-step explanation:
Hello,
a and b are the zeros, we can say that
[tex]f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)[/tex]
So we can say that
[tex]a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}[/tex]
Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b
for instance we can write
[tex](x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab[/tex]
and we can notice that
[tex]a^2+b^2=(a+b)^2-2ab[/tex] so
[tex](x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab[/tex]
it comes
[tex]x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}[/tex]
multiply by 3
[tex]3x^2-20x+2*16+5=3x^2-20x+37[/tex]
Which of the following expressions is equivalent to -10? Which of the following expressions is equivalent to -10?
-7 + 3
-3 - 7
3 - 7
7 - 3
Answer:
-3-7
Step-by-step explanation:
-3-7=10
Answer:
-3 - 7.
Step-by-step explanation:
-3 - 7 = -10.
Please answer this question now in two minutes
Answer:
y = 2x +10
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
Comparing this to the given equation, we see that line s has a slope of -1/2. The perpendicular line t will have a slope that is the negative reciprocal of this:
m = -1/(-1/2) = 2
Using the above point-slope form equation, we can write the equation of line t as ...
y -4 = 2(x -(-3))
y = 2x +6 +4 . . . . add 4, simplify
y = 2x +10 . . . . equation of line t
4. How else can the ratio 4/5 be written?
O A.4:5
O B.5:4
O C.54
O D..2
Answer:
Answer is option a) 4:5
Step-by-step explanation:
[tex]the \: ratio \: \frac{4}{5} can \: \\ also \: be \: written \: as \: 4 : 5[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
My number is odd. It is a factor of 30 and a multiple of 3 what are my 2 numbers?
Answer:
3 and 15
Step-by-step explanation:
Factors of 30
30 = 2 , 3 , 5 , 6 , 10, 15
Odd numbers are: 3, 5, 15
Odd number & multiple of 3 are: 3 and 15
The required two odd numbers are 3 and 5.
We have to determine, It is a factor of 30 and a multiple of 3 what are 2 numbers.
To obtain the factor of 30 and 2 numbers is calculated in the following steps.
The Factors of 30 are,
30 = 2 , 3 , 5 ,
And multiply the terms by 2,
[tex]= 2\times 2 , \ 2 \times 3,\ 2 \times5 \\\\=4, \ 6,\ 10[/tex]
After multiply by 2 all the term become even.
Then,
The 2 odd numbers are: 3, 5
Hence, The required two odd numbers are 3 and 5.
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Katrina is solving the equation x minus 2 (x + 3) = 4 (2 x + 3) minus (x + 4). Which equivalent equations might Katrina use? Check all that apply.
Answer:
-7/4 =x
Step-by-step explanation:
x-2(x+3) = 4(2x+3) -(x+4)
Distribute
x -2x -6 =8x+12 -x -4
Combine like terms
-x-6 = 7x +8
Add x to teach side
-x-6 +x = 7x+x+8
-6 = 8x+8
Subtract 8 from each side
-6-8 =8x+8-8
-14 = 8x
Divide by 8
-14/8 = 8x/8
-7/4 =x
Answer:
-5/6Step-by-step explanation:
[tex](x + 3) = 4 (2 x + 3)- (x + 4)\\Ope- the- brackets\\x+3 = 8x +12-x-4 \\Collect- like- terms\\x-8x+x=12-4-3\\-6x =5\\Divide-both-sides-by -6\\\frac{-6x}{-6} =\frac{5}{-6} \\x =-5/6[/tex]
what would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2
Answer:
a=3,b=5
Step-by-step explanation:
[tex] \frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} } [/tex]
so as you got it:
[tex] \frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5[/tex]
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
Answer: ŷ = 0.96185X + 3.55949
Step-by-step explanation:
From the plot provided : our points are;
(19,25), (36,35),(37,39),(41,40),(44,45),(46,50),(47,49),(49,47),(51,55),(57,59),(58,60),(58,61)
According to relation:
Y = mx +c
Using the online linear regression calculator
ŷ = 0.96185X + 3.55949
The gradient or slope (m) = 0.96185
m = (y2 - y1) / (x2 - x1)
ASAP The rectangle below has been enlarged by a scale of 3.5. A rectangle with a length of 8 and width of 6. [Not drawn to scale] What is the area of the enlarged rectangle?
Answer:
588 units^2
Step-by-step explanation:
To find the area of the enlarged rectangle, first find the length and width of the enlarged rectangle.
This is 3.5 multiplied by their original measures:
Length = 3.5 x 8 = 28
Width = 3.5 x 6 = 21
Now, area =. LxW = 588 units^2
Hope this helps
Answer:
588 units squared
Step-by-step explanation:
We have a rectangle that has dimensions 8 units by 6 units.
From the problem, we know that this rectangle has been enlarged by a scale of 3.5. Essentially, to obtain the dimensions of the new, bigger rectangle, we multiply the current length (8 units) by 3.5 and the current width (6 units) by 3.5:
new length = 8 * 3.5 = 28 units
new width = 6 * 3.5 = 21 units
Given this, we can now calculate the area.
The area of a rectangle is denoted by A = lw, where l is the length and w is the width.
Here, the length is l = 28 and the width is w = 21. Plug these in:
A = lw
A = 28 * 21 = 588
The answer is thus 588 units squared.
~ an aesthetics lover
Please help me I will give BRAINLIST and a like
I rlly need help
Answer:
?=3
Step-by-step explanation:
a= 3/5 b - 7
Answer:
the number that should be in the green box is 3
Step-by-step explanation: since it is three-fifths, in numerical way, it should be written as 3/5..
7 less than three fifths of b is a gives 3/5b-7=a
Calculate the measure of arc AG if a=20 and b=10
Answer:
90°
Step-by-step explanation:
∆GFD is an isosceles right triangle, so angle FDG is 45°. Segment DF bisects angle EDG, so that angle is 90°.
Arc AG is the other half of the semicircle AGE that includes 90° arc GE.
So, arc AG is 90°.
__
Comment on the problem
"a" and "b" are irrelevant to arc AG. They come into play for arc CE.
In how many ways can 2 juniors and 2 seniors be selected from a group of 8 juniors and 6 seniors?
Answer:
Step-by-step explanation:
8c2×6c2=((8×7)/2)×((6×5)/2)=28×15=420
What stamens is converse of p
p: If every fourth card drawn is a spade, then 25% of the cards in a deck would be spades. If 25% of the cards in a deck are spades, then every fourth card drawn would be a spade. If every fourth card drawn isn’t a spade, then 25% of the cards in a deck aren’t spades. If 25% of the cards in a deck aren’t spades, then every fourth card drawn wouldn’t be a spade. If every fourth card drawn isn’t a spade, then 75% of the cards in a deck are spades.
Answer:25
Step-by-step explanation:
Get monkeyd
Which relation defined by a mapping diagram is not a function?
Answer:
C
Step-by-step explanation:
a shopkeeper bought 1000 glass tumblers at rs8 each. 100 glass tumblers were broken and he sold the rest at rs 10 each. find his gain or loss percent.
Answer:
Hello!
~~~~~~~~~~~~~~~~~`
Profit % = (Profit/C.P)*100
= (1000/8000)*100
= 12.5%
Step-by-step explanation:
Cp of 1000glass =8000
100were broken =8000-800=7200
now there were 900 glass tumblers left he sold at rs10 each =9000
there for sp is bigger than cp
P in rs =9000-8000=1000
Hope this helped you! Brainliest would nice..!
☆_________________❤︎________________☆
Which expression is equivalent to 4(7 + 8)? (3 points) 11 + 8 11 + 12 28 + 12 28 + 32
Answer:
D) 28+32
Step-by-step explanation:
Well, if you solve the equation in the question, you derive 60.
So, solve all of the equations in the answer, and you find that the last answer choice is the only one that equals 60.
Hope this helped.
Answer:
28 + 32
Step-by-step explanation:
4(7 + 8)= 4*7+4*8= 28+32= 60
Last option is correct
How might you describe the y values for this section of x values: -1
Answer:
Answer is below
Step-by-step explanation:
The y-values are all real numbers because they reach every possible y-value from -∞ to ∞ on the y-axis.
n chemistry, the pH of a solution is defined by: pH space equals space minus log space left square bracket straight H plus right square bracket, where H+ is the hydrogen ion concentration of the solution in moles per liter. Distilled water has a pH of approximately 7. A solution with a pH under 7 is called an acid, and one with a pH over 7 is called a base. Tomato juice has a hydrogen ion concentration of 10 to the power of negative 4.1 end exponent mole per liter. Find the pH of tomato juice. pH space equals space 4.9 pH space equals space 2.8 pH space equals space 3.5 pH space equals space 4.1
Answer:
The correct option is;
pH = 4.1
Step-by-step explanation:
The given information are;
The hydrogen ion [H⁺] concentration in tomato juice = [tex]10 ^{-4.1}[/tex]
The pH of a solution = -㏒{H⁺] = -㏒( [tex]10 ^{-4.1}[/tex]) = -(-4.1) × ㏒(10) = 4.1
The pH of the of the tomato juice = 4.1
The pH is the term used to refer to the acidity of water with the range of pH values ranging from 0 to 14 where pH values of a solution lesser than 7 are considered acidic while pH values above 7 indicate a basic solution.