Answer:
10 incorrect answers
Step-by-step explanation:
From the information given, you can say that 5 marks for the number of correct answers minus two marks for the number of incorrect answers is equal to 30 that is the score that Radhika got:
(5*10)-2x= 30, where x is the number of incorrect answers.
Now, you can solve for x:
50-2x=30
50-30=2x
20=2x
x=20/2
x=10
According to this, the answer is that they attempted 10 incorrect answers.
EXAMPLE 10 Show that the points (a, a),(-a, - a) and (-3a, 3a) are the vertices of an equilateral triangle. Also find its area.
Answer:
The triangle is not equilateral.
Step-by-step explanation:
Distance formula:
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Distance from (a, a) to (-a, -a):
[tex] d_1 = \sqrt{(-a - a)^2 + (-a - a)^2} [/tex]
[tex] d_1 = \sqrt{(-2a)^2 + (-2a)^2} [/tex]
[tex] d_1 = \sqrt{8a^2} [/tex]
Distance from (-a, -a) to (-3a, 3a):
[tex] d_2 = \sqrt{(-3a - (-a))^2 + (3a - (-a))^2} [/tex]
[tex] d_2 = \sqrt{(-2a)^2 + (4a)^2} [/tex]
[tex] d_2 = \sqrt{20a^2} [/tex]
Distance from (-3a, 3a) to (a, a):
[tex]d_3 = \sqrt{(-3a - a)^2 + (3a - a)^2}[/tex]
[tex]d_3 = \sqrt{(-4a)^2 + (2a)^2}[/tex]
[tex]d_3 = \sqrt{20a^2}[/tex]
The three sides do not have the same length, so the triangle is not equilateral.
divide 1725 by 102 show work please
Answer:
16.91176471
Step-by-step explanation:
1725÷102
= 16.91176471
What is this used for and how do i use it..?
you have to solve each one to get your answer and I think that your answer will be inside the circle
Answer:
This is called the Unit Circle. It is used in trigonometry. It had a radius of 1.
It helps you when using the trig function of sin cos and tan.
Hope this helps!!!!
Step-by-step explanation:
can someone explain mean and median to me?
Answer:
Mean is obtained by adding of all of the term values by the number of terms in a given set of data. Mean is also called "average".
Median on the other hand is the arrangement of numerical data in chronological order from least to greatest and finding the middle number from that arranged set of data.
without actually calculating the cubes find the value of each of the following (-28)^3+(12)^3+(16)^3
Answer:
-16128
Step-by-step explanation:
This expression can be calculated by algebraic means, whose process is described below:
1) [tex](-28)^{3}+(12)^{3}+(16)^{3}[/tex] Given.
2) [tex](-12-16)^{3} + (12)^{3}+(16)^{3}[/tex] Definition of addition.
3) [tex](-12)^{3} + 3\cdot (-12)^{2}\cdot (-16)+3\cdot (-12)\cdot (-16)^{2}+(-16)^{3}+(12)^{3}+(16)^{3}[/tex] Cubic perfect binomial.
4) [tex](12)^{3}+[(-1)\cdot (12)]^{3}+(16)^{3} + [(-1)\cdot (16)]^{3}+3 \cdot (-12)^{2}\cdot (-16) + 3\cdot (-12)\cdot (-16)^{2}[/tex] Commutative property/[tex](-x)\cdot y = -x\cdot y[/tex]
5) [tex](12)^{3} + (-1)^{3}\cdot (12)^{3} + 16^{3} +(-1)^{3}\cdot (16)^{3} + (-3)\cdot [(-12)^{2}\cdot (16) +(-16)^{2}\cdot (12)][/tex] Distributive property/[tex](-x)\cdot y = -x\cdot y[/tex]/[tex]x^{n}\cdot y^{n} = (x\cdot y)^{n}[/tex]
6) [tex](12)^{3} + [-(12)^{3}]+(16)^{3} + [-(16)^{3}]+ (-3)\cdot [(-12)^{2}\cdot (16)+(-16)^{2}\cdot (12)][/tex] [tex](-x)\cdot y = -x\cdot y[/tex]
7) [tex](-3)\cdot [(-12)^{2}\cdot (16) + (-16)^{2}\cdot (12)][/tex] Existence of the additive inverse/Modulative property for addition.
8) [tex](-3) \cdot [(12)^{2}\cdot (16)+(16^{2})\cdot (12)][/tex] [tex]x^{n}\cdot y^{n} = (x\cdot y)^{n}[/tex]/[tex](-x)\cdot (-y) = x\cdot y[/tex]
9) [tex](-3)\cdot (12)\cdot (16)\cdot (12+16)[/tex] Distributive property.
10) [tex]-16128[/tex] [tex](-x)\cdot y = -x\cdot y[/tex]/Definition of sum/Definition of multiplication/Result
PLS HELP ME ANSWER THIS QUESTION I DONT UNDERSTAND IT I WILL GIVE BRAINLIST AND A THANK YOU!!!!
Answer:
x=150°
Step-by-step explanation:
Using the vertical angle theorem, you can infer that AEC and DEB are in fact the same angle, 20°, and the same goes for FED and CEG, both 130°.
So, x spans AEC and CEG so is 20° + 130° = 150°
after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount
Answer:
Hi, there!!!
The solutions in pictures will help you.
Best of luck....
I need to know this fairly soon pleaseee
Answer:
m<PQT= 94°
Step-by-step explanation:
If line QS bisect <PQR
m<PQS = m < SQR
7x-6= 4x+15
7x-4x= 15+6
3x= 21
X= 21/3
X= 7
m<PQS= 7x-6
m<PQS= 7(7)-6
m<PQS= 49-6
m<PQS= 43°
m<PQS= m<SQR
<mSQR=43°
m<PQR= m<PQS + m < SQR
m<PQR=43+43
m<PQR= 86°
BUT
m<PQR= m<TQW
m<PQT= m<RQW
m<PQR+m<TQW +m<PQT+ m<RQW
= 360°
Let m<TQW= x
86+86+x+x= 360
2x+172= 360
2x= 188
X= 94°
m<PQT= 94°
Terri graphed a system of linear inequalities. Which ordered pairs are a part of the solution set for this system of linear inequalities? Select two that apply.
(-1, 5)
(2, -4)
(7, -1)
(4, 6)
(5, 2)
Answer: (2, -4) and (7, -1)
Step-by-step explanation:
Ok, the solutions of the system of inequalities are all the points that lie on the blue shaded part of the graph or in the solid line.
So, in order to see if the points are solutions of the system, then you need to locate the point in the graph and see if it is inside the shaded region or in the solid line (only in the segment that "touches" the shaded region).
Now, we want to find the equation of the solid line, we can see that it passes through the points (0, 6) and (6, 0)
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then, in this case, the slope is:
a = (0 - 6)/(6 - 0) = -1.
And to find the value of b, we have that when x = 0, y = 6.
y = 6 = -1*0 + b
6 = b
The equation is:
y = -1*x + 6
(-1, 5) is not in the blue region nor in the solid line, so this is not a solution.
(7, - 1) this point is near the solid line, let's test it:
y(7) = -1*7 + 6 = -1
So the point (7, -1) is on the solid line, and is the other solution of the system.
choose the answer based on the most efficient method. if the first step in the equation " -9 + x = 5x - 7" is subtract x, what should the next step be
Answer:
add 7 to both sides
Step-by-step explanation:
This is so because we are trying to solve the equation by seperating the variables from the real numbers. So as they remove all variables from the left side of the equation, we should remove any remaining numbers that are on the right side of the equation.
Hope this helps!
For a quadratic function y = ax² + bx + c, suppose the constants a, b, and c are consecutive terms of a geometric sequence. Show that the function does not cut the x axis.
Hello, because of the geometric sequence we can say that:
[tex]\alpha = \dfrac{b}{a}=\dfrac{c}{b}\\\\\dfrac{c}{a}=\dfrac{c*b}{a*b}=\dfrac{c}{b}\dfrac{b}{a}=\alpha^2\\\\\text{So the equation becomes.}\\\\ax^2+bx+c=0<=>x^2+\dfrac{b}{a}x+\dfrac{c}{a}=0\\\\<=>x^2+\alpha x+ \alpha^2=0\\\\\Delta=b^2-4ac = \alpha^2-4\alpha^2=-3\alpha^2 < 0[/tex]
So there is no real root, so the function does not cut the x axis.
Thank you
For the given quadratic function, the x-axis is not cut by the function because there is no true root.
What is a quadratic function?To determine values for various parameters, quadratic functions are employed in a variety of scientific and engineering disciplines. A parabola is used to graphically illustrate them. The orientation of the curve is defined by the highest degree factor.
As per provided data in question,
α = b/a = c/b
c/a = (c × b)/(a × b) = (c/b) (b/a) = α²
For the equation,
ax² + bx + c = 0
x² + b/a(x) + c/a = 0
⇒ x² + ax + α² =0
Δ = b² - 4 ac = α² - 4α²
Δ = -3α² < 0, which means that no real root is there.
To know more about quadratic functions:
https://brainly.com/question/27958964
#SPJ2
What transformation of the parent function f(x) is made to get f(3x)?
Answer: Vertically shifting it by 3
The transformation of a function is horizontally shrink by a factor of 3 .
What is a horizontal shrink?We can apply horizontal shrink to a function by multiplying its input values by a scale factor, a, where 0 < 1/a < 1.Let’s go ahead and look at how f(x) = x2 will be affected by a scale factor of 1/2 and 1/3.
Below is a graph of the data.As we have expected, the graph stretches by a factor of 2 and 3. This is true for all horizontal stretches. The graph only stretches away from the y-axis when we horizontally stretch a graph.Horizontal stretch on other functions will exhibit similar properties. Let’s say we have f(x) = |x|, if this function’s graph is to be stretched horizontally to attain g(x), the new function’s expression can be expressed as |1/3 ∙ x| = |x/3|.How do you horizontally shrink by a factor of 3 ?
If g(x) = 3f (x): For any given input, the output of g is three times the output of f, so the graph is stretched vertically by a factor of 3. If g(x) = f (3x): For any given output, the input of g is one-third the input of f, so the graph is shrunk horizontally by a factor of 3.Learn more about Transformation on :
brainly.com/question/10644134
#SPJ2
I promise i will mark as brainiest
Answer:
The answer is option BStep-by-step explanation:
The question above means that how many numbers can divide 2003 with a remainder of 23
That means all the numbers are less than 2003
The number of numbers that have this property are only
22 numbersHope this helps you
PLEASE ANSWER QUICKLY
Answer:
Hi ! Answers given in the pictures below
Step-by-step explanation:
what is the coefficient of the variable in the expression 4-3x
As per the question,
We have to find what's the coefficient.
Let's start to seperate the expression.
Here,
x is the variable,
4 is a number.
-3 is also a number.
4, -3x
The number with x here is -3 in (-3x) as the coefficient is (-3) in the given equation.
Answer:
Hey there!
Rearrange the expression to: -3x+4
The coefficient would be -3.
Let me know if this helps :)
Find the value of x to the nearest degree.
A. 35
B. 28
C. 51
D. 55
Answer:
A
Step-by-step explanation:
First, we are already given the sides adjacent and opposite to ∠x. Therefore, we can use the tangent function. Recall that:
[tex]\tan(x)=opp/adj[/tex]
The opposite side is 20 while the adjacent side is 14.
Plug in the numbers. Use a calculator:
[tex]\tan(x)=20/14=10/7\\x=\tan^{-1}(10/7)\\x\approx55.0080\textdegree\approx55\textdegree[/tex]
Edits: Improved Answer. Removed Wrong Answer.
Answer:
55
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan x = 20/14
Taking the inverse tan of each side
tan ^-1 tan x = tan ^ -1 (20/14)
x =55.0079798
To the nearest degree
x = 55
24 is 75% percent of what number?
Answer:
32
Step-by-step explanation:
We can call the number x. 75% can be expressed as 0.75 so we can write the following equation: 0.75x = 24. Dividing both sides by 0.75 to get rid of the coefficient of x, we get that x = 32.
Answer:
32.
Step-by-step explanation:
Let's say the number we are trying to find is x.
24 = 0.75x
0.75x = 24
x = 24 / 0.75
x = 32
Hope this helps!
Select the equivalent expression.
C, because we multiply the exponents to get the answer.
Answer:
C
Step-by-step explanation:
Using the rule of exponents
[tex](a^{m}b^{n}) ^{p}[/tex] = [tex]a^{mp}[/tex] × [tex]a^{np}[/tex]
Thus
[tex](7^{2}5^{6})^4[/tex]
= [tex]7^{2.4}[/tex] × [tex]5^{6.4}[/tex]
= [tex]7^{8}[/tex] × [tex]5^{24}[/tex] → C
A researcher says to the respondents in a poll, “Eating too many sugary foods leads to cavities. Would you rather have soda or water served with your meal?” Is this a valid question to ask of sample respondents?
A. Yes, the more information provided by a researcher the better. Respondents can now give an informed opinion and the results will be more accurate.
B. No, the wording of the question makes respondents more likely to say water, even if they may actually prefer soda at a meal.
C. No, a researcher cannot ask people for preferences because they may not answer honestly. The researcher should observe people and record their beverage selections to insure accurate responses.
D. Yes, the researcher is simply stating a fact: eating sugary foods does lead to cavities. It is okay for a researcher to state facts in asking questions of respondents.
The correct answer is B. No, the wording of the question makes respondents more likely to say water, even if they may actually prefer soda at a meal.
Explanation:
One important factor when designing questions in research is to avoid any language that might influence the answers of respondents. This recommendation was not followed in the question "Eating too many sugary foods leads to cavities. Would you rather have soda or water served with your meal?" because mentioning sugary foods, which includes soda, leads to cavities will make respondents consider soda is negative and they are more likely to choose water. This implies the wording in the question influences respondents and introduces bias, which is inappropriate. Thus, the correct answer is B.
A circular hall has a hemispherical roof.
The greatest height is equal to the
inner diameter. If the capacity of
the hals is
the
floor is.
43510 m^3
then
area
of the
Answer:
Area=1,288.88m²
Step-by-step explanation:
A circular hall(big room) has a hemispherical roof.The greatest height is equal to the inner diameter.Find the area of the floor,given that the capacity of the hall is 43510 cubic meter
Solution
let
diameter = D
radius,r = D/2
Greatest height = D
height of cylindrical part (h)= D-r = r
radius of cylindrical part = r
area of floor = πr²
volume = volume of cylindrical part + volume of hemispherical part
= πr²h + 2/3 πr³
Recall h=r
volume = πr³ + 2/3 πr³
43510=5/3πr³
Make r the subject
r=3√(43510*3)/5π
=3√(130,530/15.7
=3√8,314.01
=20.26
Area of floor = πr²
=3.14*(20.26)²
=3.14*410.47
=1,288.88m²
Dr. Green has to multiply the weight of the team's bug spray bottles, 7 x 90 grams. To solve this, he writes out the equation 7 x 9 x 10. Why does this strategy work?
Because 9 × 10 equals 90
Then 7×90=7×9×10
Why is it important to consider scale when graphing inequalities?
Answer:
Because to get a straight line you need a scale. Otherwise you will not be able to graph a straight line.
Hope this helps:)
What is the answer to (6/7)/(12/21) = 4/x Algebra plz help
Answer:
(6/7)/(12/21) = 4/x
the first part of the expression :
when divide fraction: turn the sign from ÷ to × and flip the second fraction
(6/7)×(21/12)=4/x
126/84=4/x ( simplify the fraction 126/84)
GCF of 126 and 84 is 42 ( 126/48=3 and 84/42=2)
3/2=4/x ( cross multiplication ( butterfly)
1.5=4/x
1.5x=4
x=4/1.5=2.6666.......
how many 6-digit numbers can be created using8, 0, 1, 3, 7, and 5 if each number is used only once?
Answer:
600 numbers
Step-by-step explanation:
For six-digit numbers, we need to use all digits 8,0,1,3,7,5 each once.
However, 0 cannot be used as the first digit, because it would make a 5-digit number.
Therefore
there are 5 choices for the first digit (exclude 0)
there are 5 choices for the first digit (include 0)
there are 4 choices for the first digit
there are 3 choices for the first digit
there are 2 choices for the first digit
there are 1 choices for the first digit
for a total of 5*5*4*3*2*1 = 600 numbers
simplify the equation. (5xE2 - 3x) - (5xE2 - 3x+1)
Answer:
[tex]\huge \boxed{\mathrm{-1}}[/tex]
Step-by-step explanation:
[tex](5xe^2 - 3x) - (5xe^2 - 3x+1)[/tex]
Distribute negative sign.
[tex]5xe^2 - 3x- 5xe^2 +3x-1[/tex]
Combine like terms.
[tex]0xe^2 +0x-1[/tex]
[tex]0-1=-1[/tex]
Please help me with this
verifying, by putting [tex] \theta=60^{\circ}[/tex]
LHS≠RHS
hence the question is FALSE
Simplify 2√28 - 3√63
Answer:
[tex]-5\sqrt{7}[/tex]
Step-by-step explanation:
2√28 - 3√63
4√7 - 9√7
- 5√7
Answer:
- 5√7
Step-by-step explanation:
The perimeter of an isosceles triangle is 32 inches. If the base is longer than half of the two other equal sides by 2 inches, find the length of all sides of this triangle.
Write as a equation.
Answer:
Step-by-step explanation:
Let equal sides of an isosceles triangle = a inches
Base = [tex]\frac{1}{2}a+2[/tex] inches
Perimeter = 32 inches
a + a + [tex]\frac{1}{2}a+2[/tex] = 32
[tex]2a + \frac{1}{2}a+2 = 32\\\\\frac{2a*2}{1*2}+\frac{1}{2}a+2=32\\\\\frac{4a}{2}+\frac{1}{2}a+2=32\\\\\frac{5}{2}a+2 = 32\\\\[/tex]
Subtract 2 from both sides
[tex]\frac{5}{2}a=32-2\\\\\frac{5}{2}a=30\\\\a=30*\frac{2}{5}\\\\a=6*2[/tex]
a = 12 inches
base = [tex]\frac{1}{2}*12+2[/tex]
= 6 + 2
Base = 8 inches
Evaluate the expression below for x =4 and y = 5.
x2 + 3(x + y)
When x = 4 and y = 5, x2 + 3(x + y)= |
(Type an integer or a decimal.)
Answer:
positive 35
Step-by-step explanation:
x2 + 3(x + y) given
4(2) + 3(4+5) problem
4(2) + 3(9)
8 + 27= 35
Thomas loves tomatoes. He plans to fill the container shown below with soil to grow his own tomato
plants. The dimensions of the container are shown in inches.
umi
ndo
20 in
geo
10 in-
How much soil will the container hold?
Either enter an exact answer in terms of or use 3.14 for .
inches?
Given that
Height of container is 20 inches .Radius of base is 10 inches .To Find
Volume of container .Formula
Volume of cylinder is πr²hSolution
→ Volume = πr²h
Using π as 3.14
→ 3.14 × 10 × 10 × 20 = Volume
→ 314 × 20 = Volume
→ 6280 inches² is the holding capacity of the container.
Answer:
6280
Step-by-step explanation:
this is correct on khan academy
