Answer:
vertex(-3,27)
Step-by-step explanation:
f(x)= x^2+ 6x + 36 ( a=1,b=6,c=36)
V(h,k)
h=-b/2a=-6/2=-3
k=f(-3)=3²+6(-3)+36
f(-3)=9-18+36=27
vertex(-3,27)
Let f(x)=logx. What is the average rate of change of f(x) from 2 to 3? Round to the nearest hundredth.
Answer:
Below
Step-by-step explanation:
Let m be the average rate of change.
● m = (f(3)-f(2)) / 3-2
● m = ( log3 - log2) / 1
● m = 0.176
Round it to the nearest tenth
● m = 0.18
If x = -28 and y = -51, what is -(x + y) + (x - y)?
Answer:
102
Step-by-step explanation:
-(x + y) + (x - y) = ⇒ opening parenthesis-x - y + x - y = ⇒ simplifying, x gets cancelled-2y = ⇒ replacing y with -51-2* (-51) =102 ⇒ answerAB =
Round your answer to the nearest hundredth.
B
?
2
25°
С
A
Answer:
? = 4.73
Step-by-step explanation:
Since this is a right triangle we can use trig functions
sin theta = opp / hyp
sin 25 = 2 / ?
? sin 25 = 2
? = 2 / sin 25
? =4.732403166
To the nearest hundredth
? = 4.73
assume the initial velocity is 60 feet/second. what is the maximum horizontal distance possible and at what angle does this occur
Answer:
h = 112.5 feets
Step-by-step explanation:
The equation for horizontal distance "h" in feet of a projectile with initial velocity v₀ and initial angle theta is given by :
[tex]h=\dfrac{v_o^2}{16}\sin\theta\cos\theta[/tex]
We know that, [tex]2\sin\theta\cos\theta=\sin2\theta[/tex]
So,
[tex]h=\dfrac{v_o^2}{32}\sin2\theta[/tex]
Now we need to find the maximum horizontal distance possible and at what angle does this occur.
For maximum distance angle should be 45 degrees. Som,
[tex]h=\dfrac{60^2}{32}\sin2(45)\\\\h=112.5\ \text{feet}[/tex]
So, 112.5 feets is the maximum possible distance.
Sophie is making a copy of an angle. The original angle will be labeled G and the new angle will be labeled B. She has just finished using a compass, with the point on G, to draw an arc that intersects both rays of angle G. Which of the following should she do next
Answer:
The next step is;
Label the two intersection points
Step-by-step explanation:
To make a copy of an angle, the steps are;
1) Draw the rays of the original angle passing through the point B
2) Open the compass slightly and place the compass point on the vertices G where the two rays meet to draw an arc that intersect both rays
3) Label the point of intersection of both rays points C and D
4) With the compass still opened to the same width, move the compass to the point B on the line the angle is to be copied and draw a similar arc intersecting the ray at J
5) Open the compass to the width of C and D on the original angle and place the compass at point J to mark the arc on the copied angle location at M
6) Draw a line from B passing through M to complete the second ay of the copied angle.
This diagram is a straightedge and compass construction. A is the center of one circle,
and B is the center of the other. Explain how we know triangle ABC is equilateral.
ABC is a equilateral triangle .
Proof :-
Let's assume both circles as C1 and C2 [ as shown in the figure ]
AB is the radius of circle C1 AB is the radius of Circle C2AC is the radius of circle C1.
BC is the radius of circle C2 .
AB and AC both are radius of circle C1 so both are equal ie AB = AC .
AB and BC both are radius of circle C 2 so both are equal ie AB = BC .
Hence we conclude that .
AB = BC = AC.
So the triangle is equilateral triangle.
Select the correct answer.
Solve – 93-(-103)
OA.
-13
11
OB.
Oc. 1917
D. 19 /
Answer:
1 1/7.
Step-by-step explanation:
-9 2/7 - (-10 3/7)
= -9 2/7 + 10 3/7
= - 9 + 10 - 2/7 + 3/7
= 1 + 1/7
= 1 1/7.
Answer:
[tex] \huge \boxed{ \bold{ \purple{1 \frac{1}{7} }}}[/tex]Option B is the correct option
Step-by-step explanation:
[tex] \mathsf{ - 9 \frac{2}{7} - ( - 10 \frac{3}{7}) }[/tex]
First thing we have to do is that convert the mixed number into improper fraction .
[tex] \blue{ \mathsf{how \: to \: convert \: \: the \: improper \: fraction \: to \: mixed \: number}}[/tex]
Follow the steps:
Multiply denominator by the whole number.Add the answer from step 1 to the numerator.Put step 2 answer over the denominatorNow, let's do it!
[tex] \mathsf{ - \frac{ 9 \times7 + 2 }{7} - ( - 10 \frac{3}{7} )}[/tex]
⇒[tex] \mathsf{ - \frac{65}{7} - ( - 10 \frac{3}{7} )}[/tex]
When there is a ( - ) in front of an expression in the
parentheses , change the sign of each term in the expression
⇒[tex] \mathsf{ - \frac{65}{7} + 10 \frac{3}{7} }[/tex]
Convert mixed number into improper fraction
⇒[tex] \mathsf{ - \frac{65}{7} + \frac{73}{7} }[/tex]
While performing the addition and subtraction of like fractions , you just have to add or subtract the numbers for respectively in which the denominator is retained same
⇒[tex] \mathsf{ \frac{ - 65 + 73}{7} }[/tex]
Calculate
⇒[tex] \mathsf{ \frac{8}{7} }[/tex]
Convert the improper fraction into mixed fraction.
( Since 8 is being divided by 7 , I am gonna use long division )
( See attached picture )
⇒[tex] \mathsf{1 \frac{1}{7} }[/tex]
Hope I helped!
Best regards!!
1. Check the divisibility of the following numbers by 2, 3, 9 and 11 a) 76543 b) 98765436
2. Which of the following numbers are divisible by 4 or 8? a) 67894 b) 9685048
WILL MARK THEM AS BRAINLIST
Answer:
1. ( I didnt understand the question but I divided them using the calculator.)
A.) 76543
÷ 2= 38,271.5
÷ 3= 25,514.333...
÷ 9= 8,504.777...
÷ 11= 6,958.454545...
B.) 98765436
÷ 2= 49,382,718
÷ 3= 32,921,812
÷ 9= 10,973,937.333...
÷ 11= 8,978,676
2. B
A.) 67894
÷ 4= 16,973.5
÷ 8= 8,486.75
B.) 9685048
÷ 4= 2,421,262
÷ 8= 1,210,631
Explanation:
I used the calculator to divide.
I hope this helps! I'm sorry if it's wrong.
The number of boxes of cookies you buy or the amount the cookies will cost in dollars which one is independent vairable
Answer:
Step-by-step explanation:
When you go shopping for anything, you know that the more of that something you buy, the more money you are going to spend. In other words, the amount of money you spend depends directly upon the amount of stuff you buy. So the number of boxes of cookies you buy is the independent variable and the amount of money you spend on the cookies is the dependent variable.
The hotel bill for a number of people for overnight stay is ₹4800. If there were 4 more the bill of each person had to pay would have reduced by ₹200. Find the number of people staying over night
Answer:
8
Step-by-step explanation:
Given hotel bill = ₹4800
Let initially, number of people = [tex]x[/tex]
Initial Bill of each person = Hotel bill divided by number of people = [tex]\frac{4800}{x}[/tex]
4 people are added to the hotel stay.
i.e. new number of people = [tex]x+4[/tex]
New bill becomes ₹200 less for each person.
New bill for each person = [tex]\frac{4800}{x}[/tex] - 200
Hotel bill remains the same i.e. ₹4800 = New bill for each person multiplied by new number of people.
[tex]4800 = (\dfrac{4800}{x}-200) (x+4)\\\Rightarrow 4800 = \dfrac{4800}{x}\times x -200\times x + \dfrac{4800}{x}\times 4 - 200\times 4\\\Rightarrow 4800 = 4800 -200 x + \dfrac{4800}{x}\times 4 - 800 \\\Rightarrow 800 = -200x+\dfrac{19200}{x}\\\Rightarrow 4 = -x+\dfrac{96}{x}\\\Rightarrow x^2+4x-96=0 \\\Rightarrow x^2+12x-8x-96=0\\\Rightarrow x(x+12)-8(x+12)=0\\\Rightarrow \bold{x = 8}, x= -12\ not\ possible[/tex]
How would you write 7 is subtracted from the cube of a number
Answer:
n³ - 7
Step-by-step explanation:
n³ - 7
The required expression for the 7 subtracted from the cube of a number is x³- 7.
Given that,
A string of statements is given,
Here, we have to transform the statement, 7 is subtracted from the cube of a number into a mathematical inscription.
Arithmetic, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is an expression?A mathmetical expression is formulated structure of a statement using variables.
Let the number be x,
Now 7 subtracted from the cube of number x
= x³ - 7
Thus, the required expression for the 7 subtracted from the cube of a number is x³- 7.
Learn more about arithmetic here:
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Please help with the question!!!!!
Start with the parent function [tex]y = |x|[/tex] which is a V shape graph that has its vertex at (0,0) and it is the lowest point. Every point has a positive y coordinate other than the vertex of course.
Reflect over the y axis to get [tex]y = -|x|[/tex], so now everything is negative or below the x axis, other than the vertex point.
Lastly, shift everything up 1 unit by adding 1 onto the right side getting [tex]y = -|x|+1[/tex]
Answer:
y=absolute value brackets -x end absolute value brackets +1
Step-by-step explanation:
this is the equation that matches
16+6-6x-4=-7x+3+7
how to solve for x
Answer:
x = -8
Step-by-step explanation:
16+6-6x-4=-7x+3+7
Combine like terms
18 -6x = -7x+10
Add 7x to each side
18-6x+7x = -7x+7x+10
18+x = 10
Subtract 18 from each side
18+x-18 = 10-18
x = -8
Answer:
x = -8
Step-by-step explanation:
16+6-6x-4 = -7x+3+7
18 - 6x = -7x + 10
-6x + 7x = 10 - 18
x = -8
Check:
18 - 6*-8 = -7*-8 + 10
18 + 48 = 56 + 10 = 66
Solve 18n - 7p-15n = 5p for n.
A n = 1
B. n=2p
C. n = 1/2
D. n=4p
Answer:
The answer is option DStep-by-step explanation:
18n - 7p-15n = 5p
To solve for n first make n the subject
Group like terms
That's
18n - 15n = 5p + 7p
Simplify
3n = 12p
Divide both sides by 3 to make n stand alone
That's
3n/3 = 12p/3
We have the final answer as
n = 4pHope this helps you
Answer:
D) n = 4p
Step-by-step explanation:
18n - 7p - 15n = 5p
18n - 15n = 5p + 7p
Add like terms
3n = 12p
Divide both sides by 3
3n/3 = 12p/3
n = 4p
Answer ASAP, Will give brainliest!!
Find the length and the mid- segment
Isosceles Trapizoid
AB=48
BC=19
CD=24
DA=19
Answer:
Step-by-step explanation:
Length of mid-segment = [tex]\frac{(AB+CD)}{2}[/tex]
[tex]= \frac{48 +24}{2}\\\\\\=\frac{72}{2}\\\\[/tex]
= 36 in
The research chemists at MegaClean created a new cleaner that keeps car and truck tires shiny and clean for one year. They believe that this product will be highly successful and will attract customers to purchase their existing line of household cleaning products.
Answer:
Complementary effect
Step-by-step explanation:
Complementary goods service is another good or item used in conjunction with the service. In general, complementary goodness does not matter when eaten alone, but when combined with another good or service, it increases the overall value of the offering. When a product shares a lucrative relationship with another product offering it is considered an affiliate, for example, an iPhone and apps used with it, so that this is good example of Complementary effectApproximate 0.007349 to 3 significant figures
Answer:
Hey there!
That would result in 0.00735.
Let me know if this helps :)
Hence, the significant figures are [tex]0.00735.[/tex]
What is the approximation?
An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding. A calculation can be approximated by rounding the values within it before performing the operations.
Here given that,
Approximate [tex]0.007349[/tex] to significant figures
So, the significant figures are [tex]0.00735.[/tex]
Hence, the significant figures are [tex]0.00735.[/tex]
To know more about the approximation
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The length of a garden is 64m. The width is 24m. Posts for a fence will be made at equal distances around the garden, as far apart from each other as possible. How far apart can the posts be?
Answer:
Step-by-step explanation:
The maximum possible distance between two posts for the fence will be given by HCF ( highest common factor ) of 24 and 64
24 = 8 x 3
64 = 8 x 8
highest common factor is 8 .
So distance between two poles ( maximum separation ) will be 8 m .
Ans : 8 m .
When dividing polynomials using factorization, canceling identical factors in the denominator and the numerator will give the _______.
Answer:
quotient
Step-by-step explanation:
Answer:
quotient
Step-by-step explanation:
Cancelling identical factors in the numerator and the denominator will give the quotient. For example,x2+5x+6x+3=(x+2)(x+3)x+3 = x + 3
Reduce 102/126 to its lowest terms
Answer:
17/21
Step-by-step explanation:
102/126
Divide the top and bottom by 6
17/21
Answer:
17/21
Step-by-step explanation:
102/2=51 126/2=63
51/3=17 63/3=21
17/21
hi there can you please help me
[tex]t = \sqrt{ \frac{ab - s}{r + ak} } [/tex]
[tex]t=\sqrt{\dfrac{ab-s}{r+ak}}\\\\t^2=\dfrac{ab-s}{r+ak}\\\\rt^2+akt^2=ab-s\\\\akt^2-ab=-rt^2-s\\\\a(kt^2-b)=-(rt^2+s)\\\\a=-\dfrac{rt^2+s}{kt^2-b}\\\\a=-\dfrac{rt^2+s}{-(b-kt^2)}\\\\a=\dfrac{rt^2+s}{b-kt^2}[/tex]
12. a trader gained 15% by selling an
article for N1560.00, what is the cost
price of the article?
Answer:
N1356
Step-by-step explanation: I hope it helps :)
[tex]Profit \% = 15\%\\Selling -Price = N1560.00\\C.P = ?\\\\CP = ( SP \times 100 ) / ( 100 + percentage \: profit).\\C.P =\frac{Selling \:price \times 100}{100+ Profit \%} \\\\C.P = \frac{1560\times 100}{100+15} \\\\C .P = \frac{156000}{115} \\\\C.P =N1356.5[/tex]
WhAt is the area! Answer fast and please show work. I’ll give amazing rating!!!
Answer:
78
Step-by-step explanation:
A 45-45-90 triangle has sides like..
So the height of the parallelogram is 6.5
6.5 x 12 = 78
Answer:
78 in^2
Step-by-step explanation:
The area of a parallelogram is
A = bh
A = ( 12) * h
We can find the height from using trig functions
tan 45 = h /6.5
6.5 tan 45 = h
A = ( 12) * 6.5 tan 45
=12 ( 6.5) * 1
=78
You have this information about ΔABC, ΔFDE, and ΔGIH:
AB = DF
AB = GI
BC = HI
DE = HI
m∠B = m∠D = m∠I
Which triangles must be congruent?
The triangle ABC, triangle FDE, and triangle GIH are congruent with each other.
What is a triangle?Three sides and three internal angles define a triangle, a basic shape. The symbol is used to represent one of the geometric shapes in which the three corners are connected to one another. Triangles are categorized according to their sides into numerous different forms.
As per the given data in the question,
Sides AB = DF, AB = GI, BC = HI, and DE = HI are equal to each other.
Also, the angles, m∠B = m∠D = m∠I are equal.
Then by the property of the side angle side all the triangles are congruent with each other.
To know more about Triangle:
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Answer:
A. ΔABC, ΔFDE, and ΔGIH
PLEEEEEASSSEEEHELP ME 6TH GRADE MATH
Answer:
8-1
Step-by-step explanation:
theres 8 boxes they crossed off one of them, now theres 7
Answer ASAP, will give brainliest
Answer:
A) 5.4 cm
Step-by-step explanation:
Length of mid segment = (sum of parallel sides )/2
Sum of parallel sides = PQ + SR = 9 + SR
[tex]\frac{9+SR}{2}=MN\\\\\frac{9+SR}{2}=7.2 cm\\9 +SR = 7.2*2\\\\9 + SR = 14.4\\ SR = 14.4 -9 \\SR = 5.4 cm[/tex]
Find the missing length. A. 60 B. 80 C. 64 D. 15
Step-by-step explanation:
the answer to the question is C. 64.
12 divided by 458 in long division please answer correctly please help.
Answer:
600 is the missing space
Step-by-step explanation:
rate me brainliest plz
Each day that a library book is kept past its due date a 30 dollar fee is charged at midnight which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee
THIS IS THE COMPLETE QUESTION BELOW;
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
Answers:
(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)
Answer
(8, 2.40)
Step by step Explanation
✓We can denote the number of days library book is late = X,
✓We can denote the the total fee = Y.
We were told $0.30 fee is charged at midnight.
Then for lateness for just 1day,the charged fees= 1day ×
$0.30
For X number of days the charged fees= Xday ×$0.30
Therefore, total charge for lateness for X number of days late = Y.
Then can be expressed as
Y= 0.30 * X...............eqn(1)
We can now test the option one after the other
FIRST OPTION (-3, -0.9)
Here we should know the number of days cannot be negative so there is no need of testing in the equation (1)
SECOND OPTION (-2.5, -0.75)
Here we should know the number of days cannot be negative so there is no need of testing in the equation (1)
THIRD OPTION(4.5, 1.35)
here the number of days will definitely be a whole number not 4.5, it's either
charge for 4 days or 5 days.
FORTH OPTION (8, 2.40)
this should be correct because the number of days is whole number and not negative, then if we test it from our equation it satisfy the equation too
Y= 0.30 * X...............eqn(1)
Y= 0.30 * X
2.40= 0.30 * 8
2.40 = 2.40.
Therefore, (8, 2.40) is the answer
. Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency plans to interview clients in groups of 2. On the second day, the agency will interview clients in groups of 4. If the employment agency will interview the same number of clients on each day, what is the smallest number of clients that could be interviewed each day?
Answer:
4
Step-by-step explanation:
Given that :
Clients are interviewed in groups of 2 on the first day; meaning two persons at a time
Second day, clients are interviewed in groups of 4; meaning 4 persons at a time.
Therefore, if the same number of clients are to be interviewed on each day, the smallest number of clients that could be interviewed each day could be obtained by getting the Least Common Multiple of both numbers: 2 and 4
- - - - 2 - - - 4
2 - - - 1 - - - 2
2 - - - 1 - - - 1
Therefore, the Least common multiple is (2 * 2) = 4
Therefore, the smallest number of clients that could be interviewed each day is 4.
