Answer:
5
Step-by-step explanation:
7x5=35
the remainder is 1
=5.1
the nearest number is 5
please answer quick!
Answer:
-4/5
Step-by-step explanation:
sin theta = opp/ hyp
sin theta = -3 /5
Using the Pythagorean theorem
opp ^2 + adj ^2 = hyp ^2
(-3) ^2 + adj ^2 = 5^2
9+ adj ^2 = 25
adj ^2 = 25 - 9
adj ^2 = 16
Taking the square root of each side
adj = ±4
Since we are in the 3rd quadrant sin and cos are both negative so adj must be negative
adj = -4
cos theta = adj / hyp
cos theta = -4/5
15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer. PLEASE HELP ITS RLLY IMPORTANT
Can someone help me out?
Answer:
A
Step-by-step explanation:
Divide the functions so the operation looks like
[tex] \frac{ \sqrt[3]{2x} }{4x + 1} [/tex]
The domain of a rational function can be any x. values as long as the denomiator never reach zeroes becuase we cant divide by 0. Set the denomiator equal to zero to find it restriction
[tex]4x + 1 = 0[/tex]
[tex]4x = - 1[/tex]
[tex]x = - \frac{1}{4} [/tex]
A is the Answer.
What is the measure of
60° because it's an equilateral triangle
the diagram below has a cake is divided at a cake sale, if all the slices are sold at a total of $2500 would be collected. how much would be paid for the shaded slice the diagram shows three out of ten
Answer:
I am pretty sure $750
Step-by-step explanation:
Since there are 10 slices of cake, you would have to divded the cost ($2,500) by 10 to find out the cost per slice (you would get $250). Since we are finding the cost of 3 slices, you would mulitply 250 by 3, then you get your answer
What is the greatest common factor of the polynomial below?
12x2-9x
A. 3x2
B. 3x
C. 4x2
D. 4x
Answer:
3x
Step-by-step explanation:
factoring it we get
3x(4x-3)
Help me pleaseeeee!!!!!!!!
Answer:
140
Step-by-step explanation:
Angles 1, 2 and 3 are in a straight line,
Straight line has 180 degrees,
∠1 = ∠3 = 20
∠1 + ∠2 + ∠3 = 180
20 + ∠2 + 20 = 180
∠2 + 40 = 180
∠2 = 180 - 40
∠2 = 140
The diameter of a cylinder is twice the height (h) of the cylinder. Show that the total surface area of the cylinder is:
[tex]4\pi \ {h}^{2} [/tex]
Answer:
Please check explanations
Step-by-step explanation:
The diameter is twice the height;
if diameter is d and height is h
Then;
d = 2h
But, we know that the radius is half the diameter size. Which means that the diameter is twice the radius
Thus;
2r = 2h
Then r = h
Mathematically the total surface area of a cylinder is;
2pi r (r + h)
substitute h for r
2pi h(h + h)
= 2pi * h * 2h
= 4 pi h^2 (QED)
What is the quotient ? 7-6 72 1 o 1 o 1 72 O 73 0 78
Answer:
A. 1/7^8
Step-by-step explanation:
Given
(7^-6) / 7²
Both numerator and denominator has the same base, so just one of the bases will be picked
Division sign changes to minus in indices
(7^-6) / 7²
= 7 ^(-6-2)
= 7^-8
= 1/7^8
Note: a^-b
= 1/a^b
The same rule is used at the last step of the calculation
Answer is
A. 1/7^8
Find the slope of the line for each pair of points (-17, -5) (15, -13)
A hall has 22 rows of chairs there are 18 chairs in each row how many extra rows of chairs are needed to seat 468
Answer:
Total chairs = 18×22= 396
so no. of extra chairs need = 468-396 = 72
Now( 72/18) rows = 4 rows
Therefore 4 more rows are needed here
Hope it helps you
Answer: 4
Step-by-step explanation:
The amount of chairs in the hall can be found by multiplying 22 by 18 and getting 396. The amount of chairs needed is 468, so 468-396 gets you the amount of chairs still needed and the number 72. There are 18 chairs in each row, and 72/18 is 4. So 4 more rows are needed.
The legs of a right triangle have the following measurements: 5 and 10 inches. What is the length of the hypotenuse??
show work.
Answer:
[tex]5\sqrt{5}[/tex]
Step-by-step explanation:
1. [tex]5^2 +10 ^2 = c^2[/tex]
2. [tex]c^2 = 125[/tex]
3. [tex]c = 5\sqrt{5}[/tex]
Answer:
approximately 11.18 inches or [tex]5\sqrt{5[/tex] inches
Step-by-step explanation:
We have to use Pythagorean Theorem for this problem. a^2 + b^2 = c^2, where c is the hypotenuse and a/b are legs of the right triangle.
5^2 + 10^2 = c^2, 25 + 100 = c^2, 125 = c^2, sqrt125 = c
sqrt125 can be simplified to 5sqrt5 (25 * 5 = 125, sqrt25 = 5)
The hypotenuse is approximately 11.18 inches or [tex]5\sqrt{5[/tex] inches.
Chris and Josh have a total of 1,800 stamps in their collections, Josh and Jessica have a total of 2,200 stamps, and Jessica and Chris have a total of 2,000. How many stamps in all the three children have?
Answer: 3000 stamps
Step-by-step explanation:
Given
Chris and Josh have 1800 stamps
Josh and Jessica have 2200 stamps
Jessica and Chris have 2000 stamps
Suppose Chris, Josh, and Jessica have [tex]x,y, \text{and}\ z[/tex] stamps
[tex]\therefore x+y=1800\quad \ldots(i)\\\Rightarrow y+z=2200\quad \ldots(ii)\\\Rightarrow z+x=2000\quad \ldots(iii)\\\text{Add (i), (ii), and (iii)}\\\Rightarrow 2(x+y+z)=1800+2200+2000\\\Rightarrow x+y+z=3000[/tex]
Thus, all three have 3000 stamps
(40/5)-7+2? I know the answer but I don’t know how I got to it
Answer:
3
Step-by-step explanation:
(40/5)-7+2
PEMDAS says parentheses first, so divide inside the parentheses
(8)-7+2
Then add and subtract from left to right
1 +2
3
Answer:
3
Step-by-step explanation:
Using PEMDAS:
(40/5)-7+2
- > 40/5 - 8
8 - 7 + 2
1 + 2
3
Hope this helps you.
Calcular x en: los datos q faltan
Find the area of the circle x^2+y^2=16 by the method of intregration
Answer:
Hello,
[tex]16\pi[/tex]
Step-by-step explanation:
[tex]I=\dfrac{Area}{4} =\int\limits^4_0 {\sqrt{16-x^2} } \, dx \\\\Let\ say\ x=4*sin(t),\ dx=4*cos(t) dt\\\\\displaystyle I=\int\limits^\frac{\pi }{2} _0 {4*\sqrt{1-sin^2(t)} }*4*cos(t) \, dt \\\\=16*\int\limits^\frac{\pi }{2} _0 {cos^2(t)} \, dt \\\\=16*\int\limits^\frac{\pi }{2} _0 {\frac{1-cos(2t)}{2}} \, dt \\\\=8*[t]^\frac{\pi }{2} _0-[\frac{sin(2t)}{2} ]^\frac{\pi }{2} _0\\\\=4\pi -0\\\\=4\pi\\\\\boxed{Area=4*I=16\pi}\\[/tex]
Determine the value of K that will cause f(x)=Kx^2+4x-3 to intersect the line g(x)=2x-7 at one point. SHOW ALL YOUR STEPS, DON'T USE DECIMALS INSTEAD USE FRACTIONS PLEASE!!!!!
Given:
The function are:
[tex]f(x)=Kx^2+4x-3[/tex]
[tex]g(x)=2x-7[/tex]
The graph of f(x) intersect the line g(x) at one point.
To find:
The value of K.
Solution:
The graph of f(x) intersect the line g(x) at one point. It means the line g(x) is the tangent line.
We have,
[tex]f(x)=Kx^2+4x-3[/tex]
Differentiate this function with respect to x.
[tex]f'(x)=K(2x)+4(1)-(0)[/tex]
[tex]f'(x)=2Kx+4[/tex]
Let the point of tangency is [tex](x_0,y_0)[/tex]. So, the slope of the tangent line is:
[tex][f'(x)]_{(x_0,y_0)}=2Kx_0+4[/tex]
On comparing [tex]g(x)=2x-7[/tex] with slope-intercept form, we get
[tex]m=2[/tex]
So, the slope of the tangent line is 2.
[tex]2Kx_0+4=2[/tex]
[tex]2Kx_0=2-4[/tex]
[tex]x_0=\dfrac{-2}{2K}[/tex]
[tex]x_0=-\dfrac{1}{K}[/tex]
Putting [tex]x=x_0,g(x)=y_0[/tex] in g(x), we get
[tex]y_0=2x_0-7[/tex]
Putting [tex]x=-\dfrac{1}{K}[/tex] in the above equation, we get
[tex]y_0=2(-\dfrac{1}{K})-7[/tex]
[tex]y_0=-\dfrac{2}{K}-7[/tex]
Putting [tex]x=-\dfrac{1}{K}[/tex] and [tex]f(x)=-\dfrac{2}{K}-7[/tex] in f(x).
[tex]-\dfrac{2}{K}-7=K\left(-\dfrac{1}{K}\right)^2+4(-\dfrac{1}{K})-3[/tex]
[tex]-\dfrac{2}{K}-7=\dfrac{1}{K}-\dfrac{4}{K}-3[/tex]
[tex]-\dfrac{2}{K}-7=\dfrac{-3}{K}-3[/tex]
Multiply both sides by K.
[tex]-2-7K=-3-3K[/tex]
[tex]-2+3=7K-3k[/tex]
[tex]1=4k[/tex]
[tex]\dfrac{1}{4}=K[/tex]
Therefore, the value of K is [tex]\dfrac{1}{4}[/tex].
Hàm số đồng biến khi nào
Answer: xem link và 1 số đk nữa
Step-by-step explanation:
Ms. Jones wants to paint her kitchen's wall. She knows that 2 gallons of paint cover 80 square feet, and each gallon costs $20.80. If the area of the kitchen is 320 square feet, how much will she pay to buy the gallons of paint needed? Round your answer to the nearest cent (HUNDRED TH), and write ONLY a number (NO $)
4. What is the correct ratio for sin A?
A) 5/12
B) 12/13
C) 5/13
D) 13/12
Answer:
sin A = 12 /13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin A = opp / hyp
sin A = 12 /13
Which graph represents an exponential function?
Answer: where's the pic?
Step-by-step explanation:
Which two intergers is
[tex] - \sqrt{} 116[/tex]
between
options: -13 and -12 or - 11 and - 10 or and - 10 and -9 or -14 and -13.
Answer:
Between-10 and -9
Step-by-step explanation:
Square root of 116 is 10.77. Since there’s a minuscule sign it’s -10.77
So it’s between -10 and -9
saroj bought 40 books of rupees 16000 if We sold 10 books for rupees 40 each and remaining books for rupees 45 each what is total profit or loss
Answer:
Loss of 14250 RS if you meant he bought 40 books for RS 16000
and Profit of 150 RS if you meant he bought 40 books for RS 1600
Step-by-step explanation:
Saroj bought 40 books for 16000 RS
He sold 10 books for 40 RS each, 10*40 = 400, 400 RS for 10 books
He sold the rest (30 books) for 45 RS each, 30*45 = 1350
1350+400 = 1750
16000-1750 = 14250, he had a loss of 14250 and if you meant he bought 40 books for RS 1600 then he has a profit of 150 RS.
Find the following sums. Please help.
Answer:
5m-n-4p
4a^2+6x-3
Step-by-step explanation:
3m-4n +7p
-5m +9n -6p
+7m -6n -5p
----------------------
Combine like terms
3m-4n +7p
-5m +9n -6p
+7m -6n -5p
----------------------
(3-5+7)m +(-4+9-6)n +(7-6-5)p
5m-n-4p
a^2 -3x +1
a^2 +9x -6
2a^2 +0x +2
----------------------
Combine like terms
a^2 -3x +1
a^2 +9x -6
2a^2 +0x +2
----------------------
(1+1+2)a^2 +(-3+9+0)x +(1-6+2)
4a^2+6x-3
#1
[tex]\\ \sf\longmapsto 3m-4n+7p+(-5m+9n-6p)+7m-6n-5p[/tex]
[tex]\\ \sf\longmapsto 3m-4n+7p-5m+9n-6p+7m-6n-5p[/tex]
[tex]\\ \sf\longmapsto 3m-5m+7m-4n+9n-6n+7p-6p-5p[/tex]
[tex]\\ \sf\longmapsto 5m-n-4p[/tex]
#2
[tex]\\ \sf\longmapsto a^2-3x+1+a^2+9x-6+2a^2+2[/tex]
[tex]\\ \sf\longmapsto a^2+a^2+2a^2-3x+9x+1-6+2[/tex]
[tex]\\ \sf\longmapsto 4a^2+6x-3[/tex]
4x^5/2x^2+5=59
please help
Answer:
[tex]{ \tt{ \frac{4 {x}^{5} }{2 {x}^{2} + 5 } = 59 }}[/tex]
Cross multiply the variables:
[tex]{ \tt{4 {x}^{5} = 59(2 {x}^{2} + 5)}} \\ { \tt{4 {x}^{5} = 118 {x}^{2} + 295}} \\ { \tt{4 {x}^{5} - 118 {x}^{2} = 295}}[/tex]
Factorise the equation:
[tex]{ \tt{ {x}^{2}(4 {x}^{3} - 118) = 295 }}[/tex]
Either x² or ( 4x³ - 118 ) is equal to 295:
For x²:
[tex]{ \tt{ {x}^{2} = 295}} \\ { \tt{first \: answer : \: x =17.2 }}[/tex]
For ( 4x³ - 118 ):
[tex]{ \tt{4 {x}^{3} = 413 }} \\ { \tt{ {x}^{3} = 103.25}} \\ { \tt{second \: answer : \: x = 4.7 }}[/tex]
What is the factored form of x2 + 4xy – 21y2?
A. xy(x + 4 – 21y)
B. (x – 3y)(x + 7y)
C. x(x + 4y) + y(4x – 21y)
o
D. (x + 3y)(x - 7y)
[tex]\sf \: {x}^{2} + 4xy - 21 {y}^{2} [/tex]
[tex]\sf \: Rewrite \: the \: equation⟹( {x}^{2} - 3xy) + (7xy - 21y {}^{2} )[/tex]
[tex]\sf \: 1)( {x}^{2} - 3xy) = x(x - 3y)[/tex]
[tex]\sf2) \: (7xy - 21 {y}^{2} ) = 7y(x - 3y)[/tex]
[tex]\sf \: Now \: the \: equation \: becomes \: ⟹ \\ \sf \: x(x - 3y) + 7y(x - 3y)[/tex]
[tex]\sf \: Factor \: out \: the \: common \: term \: (x - 3y) \\ \sf =( x - 3y) + (x + 7y) \\ [/tex]
Answer ⟶ [tex]\boxed{\sf {B) (x-3y)(x+7y)}}[/tex]
Which is the pair of congruent right angles?
Answer:
2nd
2nd option <cba=<dea
Answer:
B
as DE=CB
<C=<D
<B= <E
Therefore it is congruent
Have a nice day!
Please answer only questions 18 and 20 please help me
Answer:
18 is 64 days
20 is 1 37/128
Step-by-step explanation:
I looked it up if I am being completely honest with you but it should be correct
a student says the prime factors of 17 are 1 and 17. is the student correct?
Answer: yes
A prime factor is number that can only divided by itself and one
Since, 17 can only be divided by 17 and 1, the student is correct
Step-by-step explanation:
You have to evaluate the question for a and b
Answer:
11
Step-by-step explanation:
a+b^2
Let a=2 and b=3
2+3^2
2 + 9
11
Answer: 11
2 + (3 x 3 )
2 + 9
The required answer would be 11 :)
Step-by-step explanation: