Answer:
y - k = (x + 2)^2
Step-by-step explanation:
The vertex equation of a vertical parabola is
y - k = a(x - h)^2, where (h, k) is the vertex.
We are given h = -2, k = 4, x = 0 and y = 8 and need to find the value of a.
8 - 4 = a(0 + 2)^2, or
4 = 4a, so a must be 1.
Then the desired equation is:
y - k = (x + 2)^2
12 + 6 − 4 ÷ (2 + 5)
A. Divide 4 by 2.
B. Add 2 and 5.
C. Add 12 and 6.
D. Subtract 4 from 6.
Solve the inequality
Answer: x ≥ -80
Step-by-step explanation:
-1/2x ≤ 40
1/2x ≤ -40
x ≥ -80
When a system of two linear equations has no solution, how do the graphs of the equations appear?
Answer:
parallel lines that never intersect.
Step-by-step explanation:
When dealing with two linear equations that have no solution, it means that they usually have two variables and are part of a system of equations. Such an example would be the following two equations
2x - y = 2
4x - 2y = 8
These two equations would be part of the same system and they have no solution because there is no pair of values that will give a valid solution to both for the variables x and y. In a graph these equations would appear as parallel lines that never intersect. This is why no solution is found, because there is no intersection.
Please helpp with thiss
Please help it's for my sister
find the measure of 1
Answer:
n
Step-by-step explanation:
Answer:
119°Step-by-step explanation:
angle 1 is a half of angle 238°
Determine whether the series -20 + 100 - 500 + ... is convergent or divergent.
a. convergent
b. divergent
Please select the best answer from the choices provided
it's divergent, you can actually simplify this series by combining terms in pairs
Answer:
B
Step-by-step explanation:
practice on edg 2021
someone please helppp!!!
Answer:
2:6
Step-by-step explanation:
The question asks for the ratio of ladybugs to total insects. We'll use "l" for ladybugs and "i" for insects. So, the ratio will be l:i.
The number of ladybugs is 2, so we can plug that into our ratio.
2:i
Now, plug in the total number of insects, which is 6.
2:6
which set of ordered pairs could be generated by an exponential function
Answer:
Option C represents an exponential function
Step-by-step explanation:
Generally, we have an exponential function in the form ;
y = a.b^x
Where in fact, a is not 0
In this case, let us have a as 1 and b as 2
So we have;
for x = -1
y = 2^-1 = 1/2
for x = 0
y = 2^0 = 1
for x = 1
y = 2^1 = 2
for x = 2
y = 2^2 = 4
So the correct choice here is the third option
Please help me with this homework
Answer:
20km
Step-by-step explanation:
we need to find c, which is the hypotenuse of the right triangle.
we know the lengths of the legs, which are given as 16km and 12km
you might notice that 16km and 12km can both be divided by 4, which will then give is 4 and 3.
3,4,5 is a pythagorean triple-(the sums of the squares of 3 and 4 is equal to the square of 5).
The triple can be proved:
3²+4²=5²
9+16=25
25=25
that means the lengths of the triangle is a multiple of the triple 3, 4, and 5
so that means that c is 5*something
since 12 and 16 are 3*4 and 4*4 respectively, that means that c must be 5*4=20km
Hope this helps!
If the base of a Pyramid has an area of 144sq ft And if the slant higher of the pyramid is 10ft what would be the higher of the pyramid
Answer:
the height of the pyramid is 8 ft
Step-by-step explanation:
Considering the base of the pyramid to be square whose area is 144 sq ft
This means the side of the base would be √144 = 12 ft.
Now, if you will imagine a pyramid we can easily observe that
Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as
10^2 = H^2 +6^2
⇒ H^2 = 10^2-6^2 = 100-36 = 64
⇒ H = 8 ft
Therefore, the height of the pyramid is 8 ft
hey !! what's the answer ??
[tex] \sqrt{39 \times 13 \times 3} [/tex]
Answer:
39
Step-by-step explanation:
sqrt(39*13*13)
= sqrt(1521)
= 39
helppp me plsssssssss
Answer:
The class 35 - 40 has maximum frequency. So, it is the modal class.
From the given data,
[tex]\sf \:\:\:\:\:\:\:\:\:\:x_{k}=35[/tex][tex]\sf \:\:\:\:\:\:\:\:\:\:f_{k}=50[/tex][tex]\sf \:\:\:\:\:\:\:\:\:\:f_{k-1}=34[/tex][tex]\sf \:\:\:\:\:\:\:\:\:\:f_{k+1}=42[/tex][tex]\sf \:\:\:\:\:\:\:\:\:\:h=5[/tex][tex] {\bf \:\: {By\:using\:the\: formula}} \\ \\ [/tex]
[tex]\:\dag\:{\small{\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}}} \\ \\ [/tex]
[tex]\sf \:\:\:\:\:\:\:\:\:= 35+ {\bigg(5 \times \dfrac{(50 - 34)}{ ( 2 \times 50 - 34 - 42)}\bigg)} \\ \\ [/tex]
[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= 35 +{\bigg(5 \times \dfrac{16}{24}\bigg)} \\ \\ [/tex]
[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= {\bigg(35+\dfrac{10}{3}\bigg)} \\ \\ [/tex]
[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:(35 + 3.33) =.38.33 \\ \\ [/tex]
[tex]\:\:\sf {Hence,}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\ \large{\underline{\mathcal{\gray{ mode\:=\:38.33}}}} \\ \\ [/tex]
[tex]{\large{\frak{\pmb{\underline{Additional\: information }}}}}[/tex]
MODE
Most precisely, mode is that value of the variable at which the concentration of the data is maximum.MODAL CLASS
In a frequency distribution the class having maximum frequency is called the modal class.[tex]{\bf{\underline{Formula\:for\: calculating\:mode:}}} \\ [/tex]
[tex]{\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}} \\ \\ [/tex]
Where,
[tex]\sf \small\pink{ \bigstar} \: x_{k}= lower\:limit\:of\:the\:modal\:class\:interval.[/tex]
[tex] \small \blue{ \bigstar}[/tex][tex]\sf \: f_{k}=frequency\:of\:the\:modal\:class[/tex]
[tex]\sf \small\orange{ \bigstar}\: f_{k-1}=frequency\:of\:the\:class\: preceding\:the\;modal\:class[/tex]
[tex]\sf \small\green{ \bigstar}\: f_{k+1}=frequency\:of\:the\:class\: succeeding\:the\;modal\:class[/tex]
[tex] \small \purple{ \bigstar}[/tex][tex]\sf \: h= width \:of\:the\:class\:interval[/tex]
A baker produces 500 loaves of bread. On Monday
Answer:
What is the question?
Step-by-step explanation:
hi! just remember that you are amazing and everything will be okay! never give up! you got this just take a deep breath and remember your worth!
Answer:
thank you for this inspiration
Step-by-step explanation:
What is the value of the third quartile of the box plot shown?
39
39
25
25
20
20
19
19
Hello, I Am BrotherEye
Answer: Here is an Example On How To Solve Your Problem.
Step-by-step explanation:
Explanation:
29
,
33
,
36
,
37
,
39
,
40
,
41
The minimum is the lowest number in the data set.
Since it is listed from smallest to largest, we know that the minimum is
29
.
The median is the middle number. Cancel out
3
numbers from each side and we are left with the median:
29
,
33
,
36
,
37
,
39
,
40
,
41
Therefore, the median is
37
.
The first quartile (Q1) is the median of the lower half of data which lies at 25% of the data.
Let's look at the lower half of numbers:
29
,
33
,
36
The number in the middle is
33
, so that is the first quartile.
The third quartile (Q3) is the median of the upper half of data which lies at 75% of the data.
Let's look at the upper half of numbers:
39
,
40
,
41
The number in the middle is
40
, so that is the third quartile.
The maximum is the highest number in the data set; it is
41
.
So here's the five-number summary:
Minimum: 29
First quartile: 33
Median: 37
Third quartile: 40
Maximum: 41
Nancy goes to the Post Office to exchange money.
Exchange Rates
£1:$1.31
£1 : €1.14
*Commission Charged
$ £ €
Nancy changes $759.80 and €342 into pounds sterling.
The Post Office deducts their commission and gives Nancy £827.20
What is the percentage commission?
Answer:
6% commission
Step-by-step explanation:
Exchange Rates
£1:$1.31
£1 : €1.14
$759.80 to pounds sterling :
£1 = $1.31
x = $759.80
Cross multiply :
x = 759.80 / 1.31
x = £580
£1 = €1.14
x = €342
Cross multiply :
x = 342 /1.14
x = £300
Total = £(580 + 300) = £880
Amount deducted = commision = £880 - £827.20 = £52.80
Percentage commission :
(52.80 / 880) * 100%
0.06 * 100%
= 6% commission
Ja'hones has pizza dough for making pizza. she separates the dough into three portions
listed below.
Portion A is 8.25 ounces
Portion B is twice as much as portion A
Portion C is twice as much as portion B
What is the weight, in ounces, of portion B and the weight, in ounces, of portion C?
Answer:
Portion B is 16.5 ounces.
Portion C is 33 ounces.
Step-by-step explanation:
Portion B.
8.25 * 2 = 16.5
Portion C.
16.5 * 2 = 33
Hope this helps! :)
help? is this right or no?
Answer:
C
Step-by-step explanation:
Symmetry means to have the same structure on both sides. So, imagine a mirror reflecting, lets say half a piece of bread the structure will be the same on both sides.
pls give brainlist if helpful
If the total surface area of the soup can is 23.211 sq in. If the diameter of the can is 3.25 inches,
what is the height of the can?
DON’T PUT A LINK!
Answer:
0.65 in
Step-by-step explanation:
I didn't put a link btw
A circle with centre O has a radius of 6.2 cm.
AB is a diameter of the circle.
ABCD is a square.
Calculate the area of the shaded region.
You must show all your working.
Answer:
it could either be 10.781 or 65.6, if not either of em then iam truly very sorry
Step-by-step explanation:
Data set:6 numbers;median=14;mode=1
Answer:
Yes; what's the whole data set ?
Step-by-step explanation:
one electrician charges a $50 service call fee plus $25 per hour for labor. Another electrician charges a $35 service call fee plus $27.50 per hour for labor. how long would a job take if the total cost for each electrician is the same?
Answer:
The answer would be 6.
Step-by-step explanation:
First, we need to make equations for these electricians fee's.
Electrician one: Y=25x+50, 50 is the upfront cost and 25 is the cost per hour for work.
Electrician two: Y=27.50x+35, It is the same thing for these numbers.
Then you need to incert numbers into the X place. Y will be your answer.
Y=25(6)+50, Y=150+50, Y=200
Y=27.50(6)=35, Y=165+35, Y=200
The answer would be 6. If both the electricians worked for 6 hours each, their prices would be equal.
Pls help Ill givw brainly
Answer:
formula is 2(lb plus bh plus hl)
Length- 80cm
width- 3cm
height- 200cm
240 plus 600 plus 16000
pls mark Brainliest if you can?
33680 cm is the surface
area
The expression (x^3)(x^-17) is equivalent to x^n. What is the value of n?
Answer:
n = -14
Step-by-step explanation:
when multiplying bases, add their exponents
1. Solve for x
4x + 7 - 3 = 4x + 2x - 3
2. Solve for x
2+5x-2x=9x+8x - 4
3. Solve for m.
3+ 4m - 2 + 2m = 5 + 6 - 3m
Step-by-step explanation:
4x+4=6x-3
4=2x-3
7=2x
x=3,5
3x+2=17x-4
2=14x-4
6=14x
x=3/7
6m+1=-3m+11
9m+1=11
9m= 10
m=10/9
Please help. Will give Brainliest!!
Answer:
we have
tan ø=perpendicular/base
tan30=3/y
y=3/tan30
y=3√3 is your answer
You can send 34 text messages in 12 minutes. How many minutes does it take you to send 68 messages?
Answer:
24
Step-by-step explanation:
34 messages per 12 minutes
68 is just 34 mulitplied by 2.
it would take you twice as long because there are twice as many messages.
12 minuted multipled by 2 is 24.
It would take you 24 minutes to send 34 messages.
Answer:
24 minutes
Step-by-step explanation:
34/12
68/x
34*2=68
12*2=24
1. A tourist sights the Hancock tower from the highway with an angle of elevation of 12°. If the
Hancock tower is known to be 1350 feet high, how far away is the tourist, to the nearest tenth?
Answer: [tex]6351.25\ ft[/tex]
Step-by-step explanation:
Given
Angle of elevation [tex]x=12^{\circ}[/tex]
Height of tower [tex]h=1350\ ft[/tex]
Suppose tourist is d feet away from the tower
from the figure, we can write
[tex]\Rightarrow \tan 12^{\circ}=\dfrac{1350}{d}\\\\\Rightarrow d=\dfrac{1350}{\tan 12^{\circ}}=6351.25\ ft[/tex]
Thus, the distance of tourist from the tower is [tex]6350.25\ ft[/tex]
Camila is working two summer jobs, making $10 per hour lifeguarding and $6 per hour walking dogs. Last week Camila worked 5 more hours lifeguarding than hours walking dogs and earned a total of $114. Write a system of equations that could be used to determine the number of hours Camila worked lifeguarding last week and the number of hours she worked walking dogs last week. Define the variables that you use to write the system.
Let L = the numbers of hours lifeguarding
Let D = the number of hours walking dogs
Camila makes $10 per hour lifeguarding, so in L hours she will make 10L dollars. Camila makes $6 per hour walking dogs, so in D hours she will make 6D dollars. The total amount earned 10L+6D equals $114.
Since Camila worked 5 more hours lifeguarding than hours walking dogs, she worked more hours lifeguarding, so if we add 5 to the number of hours walking dogs, we will get the number of hours lifeguarding, meaning L equals D+5.
10L+6D=114
L=D+5