Answer:
166.59 cm³ (approx.)
Step-by-step explanation:
There is a special offer at the book shop.
Ryan chooses 4 books that cost
£4.00
£3.80
£3.00
and £1.20
Special
offer
4 for the
price of 3.
Buy any 4 books and get
the cheapest one completely free!
What fraction of the normal total price does he save?
Choose the correct calculation.
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£1.20
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£4.00 + £3.80 + £3.00
x (£4.00 + £3.80 + £3.00 + £1.20)
price of 3Step-by-step explanation:
The seating capacity of a basketball stadium is 5,782. The seats are arranged in 24 sections of the same size. Any seats that are leftover from the 24 sections are called priority seats. How many seats are priority seats? I did not understand how to solve this problem.
Divide capacity by sections:
5782 / 24 = 240.9167
The number of seats in each section is needs to be a whole number so there are 240 seats per section:
240 seats per section x 24 sections = 5,760 seats.
Priority seats is capacity - total section seats:
5782 - 5760 = 22
There are 22 priority seats
For the given table of values for a polynomial function, where must the zeros of the function lie?
A. between 2.0 and 2.5 and between 4.0 and 4.5
B. between 2.5 and 3.0 and between 4.0 and 4.5
C. between 2.0 and 2.5 and between 3.5 and 4.0
D. between 2.5 and 3.0 and between 3.5 and 4.0
Answer:
(B). between 2.5 and 3.0 and between 4.0 and 4.5.
Step-by-step explanation:
According to the Question,
If the value of the function is 0 at x=c, then c is a root or zero of the function. It means the graph of function intersects the x-axis at its zeroes.From the given table it is clear that the value of function are
x | f(x) | Sign
2.0 | 2.8 | Positive
2.5 | 1.1 | Positive
3.0 | –0.8 | Negative
3.5 | –1.2 | Negative
4.0 | –0.3 | Negative
4.5 | 0.7 | Positive
The sign of values of function changes in interval 2.5-3.0 and 4.0-4.5. It means the graph of function must intersect the x-axis in intervals 2.5-3.0 and 4.0-4.5. So, the zeros of the function lie between 2.5 and 3.0 and between 4.0 and 4.5.Therefore, the correct option is B.
If P = (-3,5), find the image
of P under the following rotation.
90° counterclockwise about the origin
([?], [
[]
Enter the number that belongs in
the green box
Answer:
(-5 , -3)
Step-by-step explanation:
use formula of 90 degree counterclockwise rotation about the origin
formula:
(x , y) = (-y , x)
(-3 , 5) = (-5 , -3)
The required coordinate of the point after 90° clockwise rotation is (-5, -3).
What does it mean by rotation?A shape or item is rotated when it is spun around a certain point (center) without being moved in any other way. Size and shape are unaffected by rotation.
The given coordinate of the point is (-5, -3).
Counterclockwise rotation about the origin is given as,
(x , y) = (-y , x)
(-3, 5) = (-5 , -3)
Thus, the required coordinate of the point after 90° clockwise rotation is (-5, -3).
Learn more about rotation here:
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The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.
From the given scenario, we can conclude that events A and B are
Answer:
dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
According to the Question,
Given, The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.Thus, The events A, B and A∩B are:
A - Jane will go to a ballgame on Monday;
B - Kate will go to a ballgame on Monday;
A∩B - Kate and Jane both go to the ballgame on Monday.
P(A)=0.73, P(B)=0.61, P(A∩B)=0.52.Pr(A)⋅Pr(B) = 0.73⋅0.61 = 0.4453 ≠ 0.52So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Answer:
From the given scenario, we can conclude that events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
Correct answer for plato users
Scarlett can bake 10 cookies with each scoop of flour. Write an equation that shows the relationship between the scoops of flour x and the cookies y. Write your answer as an equation with y first, followed by an equals sign.
HELP ME WITH THIS pLEASE ILL MARK U THE BRAINLIEST
Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below:
Answer:
The answer is "158.489"
Step-by-step explanation:
for san francisco earthquake:
[tex]\log(\frac{a_1}{T}) + B = 7.8\\\\\log(\frac{a_1}{T})+\log(10^{B}) = 7.8\\\\\log(\frac{a_1}{T} \times 10^{B})=7.8\\\\(\frac{a_1}{T} \times 10^B=10^{7.8}...............(i)[/tex]
similarly , for coloumbia earthquake:
[tex]\frac{a_2}{T}\times 10^B = 10^{5.6}.................(ii)[/tex]
divide equation (i) and (ii):
[tex]\frac{a_1}{a_2}=\frac{10^{7.8}}{10^{5.6}}\\\\\frac{a_1}{a_2}=10^{2.2}\approx 158.489[/tex]
Complete the Steps to Solve the Equation -13x-11=-37
-13x-11=-37
-13x=
Answer:
x=2
Step-by-step explanation:
-13x-11=-37 Original equation
-13x=-26 Add 11 to both sides
x=2 Divide both sides by -13
A. 1/3=0.33
B. 1/6=0.17
C. 1/10=0.10
D. 1/4=0.25
Y’all help meeee imma fail fr!!.!.
Answer:
Altitude of cylinder = 10 cm
Step-by-step explanation:
Given:
lateral surface area of cylinder = 90 cm²
Circumference of base = 9 cm
Find:
Altitude of cylinder
Computation:
Circumference of base = Circumference of cylinder
So,
2πr = 9
lateral surface area of cylinder = 2πrh
2πrh = 90
We know that; 2πr = 9
So,
9(h) = 90
h = 90 / 9
Altitude of cylinder = 10 cm
Please help what’s the answer ??!
Answer:
50-(5+18)
=50-23
=27
3x=27
x=9
Answer:
x = 9
Add 5 and 18, and you will get 23. Then add 9 and 23 three times.
5 + 18 = 23
23 + 9 + 9 + 9 = 50
Simplify 6(x + 3).
6x + 3
x + 18
6x + 18
6x + 9
Answer:
the answer of this question is = 6x + 18
Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root.
Answer:
[tex]y = \sqrt{ 900 - x\²[/tex]
Step-by-step explanation:
In the complete question, the area of the roller coaster is:
[tex]x\² + y^2 = 900[/tex]
Required
Solve for y
We have:
[tex]x\² + y^2 = 900[/tex]
Subtract [tex]x\²[/tex] from both sides
[tex]y^2 = 900 - x\²[/tex]
Take positive roots of both sides
[tex]y = \sqrt{ 900 - x\²[/tex]
WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!
Find the geometric series of a geometric sequence where a= 294 and common ratio of
seven for a6, through a10.
if two line segments have the same lengh, which of the following must be true
A. they are congruent
B. they share an endpiont
C. They are equal
D. They form a right angel
A. They are congruent
Hope this helps! :)
in . 3.5 in 4 9 in 4 in . The triangular prism above has been created with two equilateral triangles and three congruent rectangles . The height of the triangles is 3.5 inches . Find the surface area of the triangular prism . square inches
Answer:
122 in²
Step-by-step explanation:
Applying,
S.A = bh+ bl+bl+bl............. Equation 1
Where S.A = Surface area of the prism, b = base of the triangle, h = height of the triangle, l = lenghth of the prism
From the question,
Given: b = 4 in, h = 3.5 in, l = 9 in
Substitute these values into equation 1
S.A = 4×3.5+9×4+9×4+9×4
S.A = 14+108
S.A = 122 in²
Hence the surface area of the prism is 122 in²
What is the value of s in the equation 3r=10+5s , when r=10 ?
4
8
100
200
Answer:
4
Step-by-step explanation:
when r = 10
3r = 10 + 5s
3(10) = 10 + 5s
30 = 10 + 5s
30 - 10 = 10 + 5s -10
20 = 5s
20/5 = 5s/5
4 = s
Somebody help i need to find the value of x and classify the sides and angles
Answer:
a) x=18
b) 36 (2*18)
c) 54 (3*18)
d) I'm not exactly sure what it's asking for, so I don't know
Step-by-step explanation:
triangle sum theorem means the sum of every triangle is 180 degrees
so we can make this equation: 180 = 90 + 2x + 3x
solve and you get 18.
Can someone please help me with this it’s so confusing
Answer:
B and C
18-10 is 8
6 times 10 is 60
-4=12-2x
please help me with step by step
Answer:
x=8
Step-by-step explanation:
-4 = 12 - 2x
when plus 12 goes to the left hand side it changes its sign so,
-4 -12 = -2x
- * - is plus so add 4 and 12 but keep the sign - because 12 is the greatest number and its sign is -
-16=-2x
when -2 comes to the left hand side it changes its from multiplication to division.So,
-16/-2=x
8=x
we will get positive 8 because minus and minus also gets cancel.
Answer:
x=8
Step-by-step explanation:−4=12−2x
−4=12−2xSwap sides so that all variable terms are on the left hand side.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16Divide both sides by −2.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16Divide both sides by −2.x=−16÷-2
Divide −16 by −2 to get 8.
Divide −16 by −2 to get 8.x=8
Find the value of x in The parallelogram.
Answer:
48 degrees
Step-by-step explanation:
x+132 should be equal to 180, property of a parallelogram (and same side interior angles)
180-132=48
Answer:
x = 48
Step-by-step explanation:
Consecutive angles in a parallelogram sum to 180° , so
x + 132 = 180 ( subtract 132 from both sides )
x = 48
The length of a rectangle is 5 more than 3 times the width. Write and solve an equation to find the width (w) if the length is 12.5 cm.
Answer:
Length = 42.5 cm
Step-by-step explanation:
length of rectangle = 5 + 3w
So l = 5 + 3w where w = 12.5
Equation:
L = 5 + 3(12.5)
Solving the Equation:
L = 5 + 3(12.5)
L = 5 + 36 + 1.5
L = 42.5
Length: 42.5 cm
If my answer is incorrect, pls correct me!
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3 connecting lines are shown. Line A B is horizontal. Line A C is about half the length of A B. Line B C is about one-third of the length of A B.
Which inequality can be used to explain why these three segments cannot be used to construct a triangle?
AC + AB > CB
AC + CB < AB
AC + CB > AB
AC + AB < CB
Answer:
AC + CB < AB
Answer:
AC + CB < AB
Step-by-step explanation:
Which line is parallel with y = -3x + 10
Answer:
If a line is parallel with Another...
They will have the same Gradient or equal Gradient (m)
So for two parallel lines
m=m'
So the gradient of the second or other line would be Same
Now
y= -3x + 10
comparing with
y= mx + c
m = -3
So the other line would have the same gradient.
from the options provided in the comment section...
y= -3x + 12
Is your Most probable answer cos it has the same gradient
Write a function to describe the following scenario.
The temperature of a hot steak starts at 140° F and decreases at 5° F per minute. What will the temperature be of this steak after a certain number of minutes?
y= ? - ?x
Answer:
Below.
Step-by-step explanation:
Temperature after 1 minute = 140 - 5(1)
Temperature after 2 minutes = 140 - 5(2)
Temperature after 3 minutes = 140 - 5(3),
- and so on.
So the function is
y = 140 - 5x.
The temperature of the steak after a certain number of minutes can be described as the function
y = 140 - 5x
What is a linear equation?A linear equation with one variable has the standard form Cx + D = 0. In this case, the variable is x and C are coefficient, while D is a constant.
How to solve this problem?Let the certain number of minute is x.
Since the temperature decreases at 5° F per minute, then after x minutes, it will decrease 5x.
Initial temperature = 140° F
Then the present temperature, y = 140 - 5x.
Therefore, the temperature of the steak after a certain number of minutes can be described as the function
y = 140 - 5x
Learn more about temperature here -
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when 2-(7g-3) =-9 is solved, the result is:
a. 2
b. -2
c. -4
d. none of these choices are correct
The answer is A. 2
Step-by-step explanation:
First let's simplify both sides of the equation
Now using the Subtraction Property of Equality subtract 5 from both sides
[tex]-7g+5-5=-9-5-7g=-14[/tex]
Now using the Division Property of Equality divide both sides by -7
What is the number of solutions of 4x2 + 12x + 9 = 0?
Α. 1
B. 2
C. 0
D.
no real solution
Answer:
A
Step-by-step explanation:
2.1 Factoring 4x2+12x+9 The first term is, 4x2 its coefficient is 4 . The middle term is, +12x its coefficient is 12 . The last term, "the constant", is +9 Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36 Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 12 .
Someone pls help me pls!
Answer:
[tex]y=\sqrt{x-5}[/tex]
Step-by-step explanation:
Answer:
The answer is [tex]y=\sqrt{x-5}[/tex].
Step-by-step explanation:
To solve for the inverse of this function, start by writing [tex]f(x)=x^{2} +5[/tex] as an equation, which will look like [tex]y=x^{2} +5[/tex].
Next, interchange the variables, and the equation will look like [tex]x=y^{2}+5[/tex]. Then, solve for the y in the equation,
To solve for the y in the equation, rewrite the equation as [tex]y^{2}+5=x[/tex]. Next, subtract 5 from both sides of the equation, which will look like [tex]y^{2}=x-5[/tex]. The next step is to take the square root of both sides of the equation to eliminate the exponent on the left side, and the equation will look like [tex]y=\sqrt{x-5}[/tex].
To put the answer in actual inverse form, the answer will be [tex]f^{-1} (x)=\sqrt{x-5}[/tex].
Given that (in picture)...
Find the values of a and b
Please help- confused on rationalising denominator but not sure
=================================================
Work Shown:
Multiply top and bottom by [tex]\sqrt{2}[/tex] to rationalize the denominator
[tex]\frac{10-\sqrt{18}}{\sqrt{2}}\\\\\frac{\sqrt{2}(10-\sqrt{18})}{\sqrt{2}*\sqrt{2}}\\\\\frac{\sqrt{2}*10-\sqrt{2}*\sqrt{18}}{\sqrt{2*2}}\\\\\frac{\sqrt{2}*10-\sqrt{2*18}}{\sqrt{4}}\\\\\frac{10\sqrt{2}-\sqrt{36}}{2}\\\\\frac{10\sqrt{2}-6}{2}\\\\\frac{-6+10\sqrt{2}}{2}\\\\\frac{2(-3+5\sqrt{2})}{2}\\\\-3+5\sqrt{2}\\\\[/tex]
We end up with something in the form [tex]a+b\sqrt{2}[/tex] where a = -3 and b = 5
