Answer:
[tex]h(x) = {x}^{2} - 2 \\ h(2z) = {(2z)}^{2} - 2 \\ = 4 {z}^{2} - 2 \\ = 2( {2z}^{2} - 1)[/tex]
Select the values that make the inequality n > -8 true.
(Numbers written in order from least to greatest going across.)
Answer:
9
Step-by-step explanation:
I'm somewhat confused I think you're forgot to put so more information
The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below:
n > -8
The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.
Thus, the correct option is A.
More about the inequality link is given below.
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The missing options are given below.
a) - 2
b) - 9
c) - 10
d) - 20
Find x.
[tex] \frac{x}{x + 7} = \frac{16}{22} [/tex]
The equals is for proportionate I couldn't find the symbol for it.
According to the property of proportions,
Product of means = Product of extremes
x and 22 are extremes. (x + 7) and 16 are means.So, simply we did cross multiplication.
Step-by-step explanation:
56/3 is the answer. Refer to the attachment for the solution. :)
IMPORTANT! SOMEONE PLEASE LOOK AT MY UNANSWERED QUESTIONS FROM THE PAST HOUR!!! I REALLY NEED HELP!!!
Answer:
Step-by-step explanation:
kk
On a map, 1 inch equals miles. Two houses are inches apart on the map. What is the actual distance between the houses? Use pencil and paper. Show how you can represent the scale with two different ratios.
Answer:
The actual distance between the houses is 18.9 miles.
Step-by-step explanation:
The exact question is as follows :
Given - On a map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.
To find - What is the actual distance between the houses?
Solution -
Given that,
1 inch = 5.4 miles
⇒3.5 inches = 3.5 × 5.4 miles
= 18.9 miles
∴ we get
The actual distance between the houses is 18.9 miles.
Help me with this please
Answer:
F'
Your answer is correct
Step-by-step explanation:
The image most of the time we will put ' prime on it to let the other know that this is the image
4. Explain what an imaginary number is and its relationship to complex numbers. Then give
an example of where complex numbers occur naturally in mathematics.
Answer:
564643
Step-by-step explanation:
Answer:
In the real number system, there is no solution to the equation x^2=-1x
2
=−1x, squared, equals, minus, 1. In this lesson, we will study a new number system in which the equation does have a solution.
The backbone of this new number system is the number iii, also known as the imaginary unit.
i^2=-1i
2
=−1i, squared, equals, minus, 1
\sqrt{-1}=i
−1
=isquare root of, minus, 1, end square root, equals, i
By taking multiples of this imaginary unit, we can create infinitely many more new numbers, like 3i3i3, i, i\sqrt{5}i
5
i, square root of, 5, end square root, and -12i−12iminus, 12, i. These are examples of imaginary numbers.
However, we can go even further than that and add real numbers and imaginary numbers, for example 2+7i2+7i2, plus, 7, i and 3-\sqrt{2}i3−
2
i3, minus, square root of, 2, end square root, i. These combinations are called complex numbers.
Defining complex numbers
A complex number is any number that can be written as \greenD{a}+\blueD{b}ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i, where iii is the imaginary unit and \greenD{a}astart color #1fab54, a, end color #1fab54 and \blueD{b}bstart color #11accd, b, end color #11accd are real numbers.
\begin{array}{ccc} \Large\greenD a&\Large+&\Large \blueD bi \\ \uparrow&&\uparrow\phantom{i} \\ \text{Real}&&\text{Imaginary} \\ \text{part}&&\text{part} \end{array}
a
↑
Real
part
+
bi
↑i
Imaginary
part
\greenD aastart color #1fab54, a, end color #1fab54 is called the \greenD{\text{real}}realstart color #1fab54, start text, r, e, a, l, end text, end color #1fab54 part of the number, and \blueD bbstart color #11accd, b, end color #11accd is called the \blueD{\text{imaginary}}imaginarystart color #11accd, start text, i, m, a, g, i, n, a, r, y, end text, end color #11accd part of the number.
The table below shows examples of complex numbers, with the real and imaginary parts identified. Some people find it easier to identify the real and imaginary parts if the number is written in standard form.
Complex Number Standard Form \greenD a+\blueD b ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i Description of parts
7i-27i−27, i, minus, 2 \greenD {-2}+\blueD 7i−2+7istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 7, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 77start color #11accd, 7, end color #11accd.
4-3i4−3i4, minus, 3, i \greenD 4 + (\blueD{-3})i4+(−3)istart color #1fab54, 4, end color #1fab54, plus, left parenthesis, start color #11accd, minus, 3, end color #11accd, right parenthesis, i The real part is \greenD{4}4start color #1fab54, 4, end color #1fab54 and the imaginary part is \blueD{-3}−3start color #11accd, minus, 3, end color #11accd
9i9i9, i \greenD 0+\blueD9i0+9istart color #1fab54, 0, end color #1fab54, plus, start color #11accd, 9, end color #11accd, i The real part is \greenD{0}0start color #1fab54, 0, end color #1fab54 and the imaginary part is \blueD 99start color #11accd, 9, end color #11accd
-2−2minus, 2 \greenD {-2}+\blueD0i−2+0istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 0, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 00start color #11accd, 0, end color #11accd
Step-by-step explanation:
plz brian list and allways happy to help.
Nicole received a $15.00 gift card for a photo center. She used it to buy prints that cost 7 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following.
What is the remaining balance on the card if Nicole bought 50 prints?
Answer:
$11.50
Step-by-step explanation:
Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50
Therefore, the remaining balance on the card is $11.50
Please mark my answer as brainliest, it will help a lot.
PLEASE ANSWER URGENT
Answer:
D
Step-by-step explanation:
The number of patients treated at Dr. Frank's dentist office each day was recorded for nine days: 18,
19, 19, 4, 14, 8, 22, 3, 1. Using the given data, find the mean for this sample.
A. 12
B.19
C. 29
D. 14
Answer: 12
Step-by-step explanation: The mean is basically the average. So, start by lining up the numbers from smallest to largest. 1, 3, 4, 8, 14, 18, 19, 19, 22. Then, add them all together. You get 108. Then, divide 108 by the number or numbers in the data set, which in this case is 9. So 108 divided by 9 = 12. Your answer is A. --> 12
Hope that helped!!
Jina has scored 79, 85, 89 and 68 on her previous four tests. What score does she need on her next test so that her mean is 80?
Answer:
79
Step-by-step explanation:
79, 85, 89, 68 have a mean of 80.25 according to calculator.net. the number itself Is close to the number you want, in this case 80, i input 80, but it gave me a score of 80.2, so i tried again with 81, it gave me a score of 80.4, so the third attempt was successful with 79 being the input and 80 the output
calculator.net is approved on my school computer so there is a chance it is on yours as well.
What is the length of the hypotenuse?
Answer:
h=15feet.
Step-by-step explanation:
using Pythagoras theorem
h²=p²+b²
h²=12²+9²h²=144+81h=√225h=15feet.hope it helps.
stay safe healthy and happy.[tex]\huge\bold{To\:find:}[/tex]
✎ The length of the hypotenuse.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢ ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢ \sqrt{225 \: {ft}^{2} } = c \\ ⇢ \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
The amount of rona cases in Gotham city is 540 people for the first ½ of 2020. In July, a rona spike at the rate of 5.2 people for each day in the month hits. Additionally, the joker has infected all of Arkham Asylum’s 225 patients with the virus. What month will you hit 1,000 cases of rona in Gotham?
Answer:
Imma but it in the comments because i can't put it on here plus i can't put the thing on here either that's why i didn't do it yesterday
Step-by-step explanation:
Where do the negatives go on a fraction? Are they allowed to go on the numerator? And what does it mean when this happens?
5
- ——-
2
Ken recorded the weights (in pounds) of 78 boxes. He created a box plot of his data. What is the interquartile range of Ken’s data?
A) 8
B) 10
C) 17
D) 48
The interquartile range(IQR) of the recorded weight of ken is calculated as 17 pounds.
What is the interquartile range of a data?The interquartile range(IQR) = third quartile(Q3) - first quartile(Q1)
The third quartile of in the box plot given is : 56 pounds
The third quartile of the data as represented in the box plot given :
39 pounds
The interquartile range(IQR) of ken's data = 56 - 39
= 17 pounds
Hence, The interquartile range(IQR) of the recorded weight of ken is calculated as 17 pounds.
Find more information about the interquartile range here
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1. Factory in Wichita
The cost per unit for Wichita’s factory is graphed as a piecewise function over the domain [0, 35000]. a. Write one or two sentences to describe the cost function for the Wichita factory. (5 points) b. Write the piecewise function for the cost per unit for production of units in the Wichita factory. That is, state the function (), where is the number of units produced. (10 points) c. What is the cost per unit for 35,000 units? (5 points) d. According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem? (5 points) e. Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita’s factory. (10 points) ___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
___Overtime wages were required to produce at levels above 25,000 units.
2. Factory in Seattle Seattle’s factory is the company’s newest. It was constructed with sustainable building techniques and materials, so its cost structure has been affected in several ways. The Seattle plant uses a mix of solar power (not very reliable with so many clouds), thermal power, and wind. It has an array of batteries, so at the beginning of each production day, there is “free” stored energy that can produce up to 8,000 units. Of course, energy is just one factor of the cost of production, but it is significant.
The cost function for the Seattle factory is given by the following piecewise function. That is, ()is the cost function, where is the number of units produced. The plant’s maximum capacity is 42,000 units
per day.
() = { 0.35 ≤ 8,000
0.75 8,000 < ≤ 20,000
0.83 − ( 200,000) 20,000 < ≤ 42,000
a. Sketch a graph to model Seattle’s cost structure over the domain [0, 42000]. Be sure to label the axes and any endpoints where the graph breaks. (5 points)
b. Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part. (5 points)
3. Factory in Omaha Omaha’s factory has yet another type of cost structure. Its cost function is provided graphically. Its maximum capacity is 38,000 units per day.
a. At what rate is the cost per unit decreasing for production levels above 12,000?(5 points) b. State the function for the domain over [12000, 38000]. (10 points)
c. What is the cost per unit at the production level of 19,000? (5 points)
Omaha’s city council approved a special growth incentive that decreases the company’s tax burden for production levels above last year’s average. Explain how this is reflected by the Cost Function for Omaha’s factory. 4. Analysis and Making Production Decisions You have now provided your company’s management with powerful tools that model the cost of
Answer:
According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem?
The per-unit cost will be as follows,
a) Wichita factory has cost function as more up to 25000 units and less for above 25000 units.
b) Piece wise function for cost per units for production of units can be written as
C(x) = cost per unit, will be as follows,
C(x)=1÷x,0 [tex]\leq[/tex] x [tex]\leq[/tex] 25000,
=0.8÷x, 25000 [tex]\leq[/tex] x [tex]\leq[/tex] 35000,
C) cost per unit for 35000 unit
=C(35000)= 0.8÷35000
= 2.28(10⁻⁵)
What is the cost per unit?Cost per unit is referred to the cost of goods sold or the cost of sales, is how much money a company spends on producing one unit of the product they sell.
Thus, the cost per unit will be 2.28(10⁻⁵).
Learn more about cost per unit here,
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Please help me I really need this
Answer:
y-intercept = 2 so it’s the first answer option
Step-by-step explanation: How to find the slope. Slope is rise/run so choose one point on the graph, and figure out how many squares it goes up and how many over, that’s your slope. Then, to find the y-intercept, find the point where it intersects on the y-axis, in this case it looks like 2.
what is the answer? please helppp
Answer:
1/4
Step-by-step explanation:
Probability is: (ways to get a desired result) / (total possible outcomes)
Choosing a yellow ball would be a desired result.
So, using the numbers that the question gives us,
(3 ways to get a yellow ball) / (12 golf balls total) =
3 / 12 =
1 /4
The answer is 1/4 chance.
Answer:
3/12 0r 1/4 <--- Simplified
Step-by-step explanation:
so there are 3 yellow which are in 12 gold balls so
it would be 3/12 or simplified 1/4
HELLLLPPPPPPP PLEASEEEEEE BEGGGGI G SOMEONE PLEASEEEEEEEEE
Answer:113
Step-by-step explanation:
Which is a true statement based on the dot plots below?
10 20 30 40 50 60
10 20 30 40 50 60
Set A
Look at the picture
Its d because 16/12=1.33 same with 20/15 and 40/30 so its 24x1.33 which is 32 there for d is correct
NEED HELP HERE PLEASE!! π∆π
Give the value of the six trigonometric ratios in the figure.
Answer:
Step-by-step explanation:
take theta as reference angle
using sin rule
sin theta=opposite/hypotenuse
sin theta=3/5
sin theta=0.60
theta=sin 37 degree
therefore the value of theta is 37 degree.
the radius of a circle is 14.2 m. Find the circumference to the nearest tenth.
Answer:
C=89.2
Step-by-step explanation:
The formula of the circumference of a circle is C=2piR (or C=piD). Now, when calculating, plug in the numbers, giving you C=2pi14.2. Multiply everything, you get a super long irrational number; just round. You will get 89.2.
PLZZZZZZZZZZZZZ HELPPPPPPPPP
Answer:
Given, Distributive property, Subtraction Property, Division Property, Prove
Step-by-step explanation:
This is what I think the answer is. So if the answer is wrong than I don't know
complete:
a 20% x ____ = $30
Answer:
20/100*x=$30
20x/100=$30
x/5=$30
x=$30*5
x=$150
Step-by-step explanation:
20 percent of 150 equals 30 so 150 times 20 percent would give you 30
30 POINTS I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
Answer:
[tex]1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},[/tex]
Step-by-step explanation:
[tex]1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}[/tex]
[tex]2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}[/tex]
3. This problem incorporates an exponent property.
Exponent property used: [tex]a^b\cdot a^c=a^{(b+c)}[/tex], yielding an answer of [tex]\boxed{5}[/tex]
[tex]4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}[/tex]
Answer:
1. 6
2. 8/25
3. 5
4. 4/5
Step-by-step explanation:
Which is not a solution of 5g - 6 => 24?
A. g=6
B. g=10
C. g. 20
D. g=-8
Answer:
A. g=6
Step-by-step explanation:
5g-6=24
5g=30
g=30/5
g=6
Answer:
D, g = -8
Step-by-step explanation:
5 (-8) - 6 => 24
-40 - 6 => 24
-46 is NOT greater than or equal to 24.
There are 29 students in Mrs. Dixon's science class. On the last test, only 1 student earned the median score of 84.
How many students scored an 84 or lower?
A - 15
b - 14
C - 13
D - 12
Answer:
A
Step-by-step explanation:
Median can be described as the number that occurs at the middle of a set of observations.
for example, in the set of numbers, 1 2 3 4 5, the median is 3
median = (first number + last number) / 2
If there are 29 students,
median = (1 + 29) / 2 = 30/2 = 15
the 15th students scored 84
and students between 1 - 14 scored lower than 84
so, 15 students scored an 84 or lower
Imani is a scientist working with a cylindrical beaker. The base of the right cylinder has a diameter of 19 cm. She fills the
beaker with 2256.254 Cms of an acid. Approximately how high did the acid fill up the beaker?
Answer:
7.96 cm
Step-by-step explanation:
radius of bottom: 19/2 = 9.5
area of bottom = pi * r^2 = 283.53
height * base area = volume
3x −3 y −4 ⋅ 3x 3 y 3
A Dilation has a center (0,0). Find the image of this point for the given scale factor: P (2-4); D 0.5 (P)
Answer:
(1, -2)
Step-by-step explanation:
The dilation that has a center of (0, 0) means that you would multiply each number in your coordinate point by your given scale factor.
For your given point (2, -4) with a scale factor of 0.5:
2 times 0.5 = 1
-4 times 0.5 = -2
Therefore your new point will be (1, -2).