Answer:
you forgot to add the picture my dude
Step-by-step explanation:
A right rectangular prison is shown with some measurements given in units. The length of the diagonal from point A to point B is 13 units. What is the height, h, of the prison in units?
The required value of h, representing the height of the three-dimensional rectangle, is 12.
The diagonal of a three-dimensional rectangle is defined by the equation d² = x² + y² + h². To solve for h, we can rearrange the equation as follows:
h² = d² - x² - y²
Given the values d = 13, x = 3, and y = 4, we can substitute them into the equation:
h² = 13² - 3² - 4²
h² = 169 - 9 - 16
h² = 144
Taking the square root of both sides, we find:
h = 12
Therefore, the value of h, representing the height of the three-dimensional rectangle, is 12.
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Please please look at the picture and answer the question thank you so much
Answer:
t = I/(Pr)
Step-by-step explanation:
We divide P*r on both sides to isolate t and we get t=I/(P*r)
La barbería El Caleño, tiene en promedio 120 clientes a la semana a
un costo actual de $6000 por corte de cabello. Se sabe que por cada incremento
de $700 en el precio, la peluquería pierde 10 clientes. ¿Cuál es el precio máximo
que puede cobrarse de modo que los ingresos semanales no sean menores que los
actuales?
Queremos maximizar el precio de tal forma que los ingresos no disminuyan.
Ese maximo precio es: $14,040.6
Sabemos que actualmente el precio es:
p = $6,000
El número de clientes es:
C = 120
Actualmente los ingresos son el producto de esos dos números, es decir:
ingresos = $6,000*120 = $720,000
Ahora sabemos que por cada incremento de $700 en el precio, el número de clientes decrece en 10.
Entonces podemos escribir el número de clientes como una ecuación lineal.
C(p) = a*p + b
tal que tenemos dos puntos en esa linea:
($6,000, 120)
($6,700, 110)
La pendiente es:
\(a = \frac{110 - 120}{\$6,700 - \$6,000} = \frac{-10}{\$ 700}\)
Entonces tenemos:
C(p) = (-10/$700)*p + b
Sabemos que:
C($6,000) = 120 = (-10/$700)*$6,000 + b
120 = -85.71 + b
120 + 85.71 = b =
Entonces la ecuación lineal es:
C(p) = (-10/$700)*p + 205.71
Los ingresos serán dados por:
ingresos = C(p)*p = (-10/$700)*p^2 + 205.71*p
Y queremos maximizar p de tal forma que esto sea igual a lo que obtuvimos antes:
(-10/$700)*p^2 + 205.71*p = $720,000
Entonces debemos resolver la ecuación cuadratica:
(-10/$700)*p^2 + 205.71*p - $720,000 = 0.
Las soluciones son dadas por la formula de Bhaskara.
\(p = \frac{-205.71 \pm \sqrt{(205.71)^2 - 4*(-10/\$ 700)*\$ 720,000} }{2*(-10/\$ 700)} \\\\p = \frac{-205.71 \pm 195.45}{(-20/\$ 700)}\)
La solución de maximo valor es:
p = (-205.71 - 195.45)/(-20/$700) = $14,040.6
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Why is 45 minutes
equal to 3/4 of an hour?
1 hour = 60 minutes
45 min = (45 min)/(60 min) = 45/60 = 3/4 of an hour.
To go from 45/60 to 3/4, I divided both top and bottom by the GCF 15.
Answer:
45 minutes equal to 3/4 of an hour because, if you convert the one hour into minutes (60 minutes) it is divisible by 15 four times.
3 · 15 = 45.
One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
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How do rational exponents help you multiply or divide two radicals with different indices (^m sqrt a * ^n sqrt a or ^m sqrt a/ ^n sqrt a , when m ≠ n) Include two examples to support your answer.
Rational exponents can help simplify the multiplication and division of radicals with different indices by converting the radical to a power with a rational exponent.
Rational Exponent Simplification of RadicalsRational exponents can help simplify the multiplication and division of radicals with different indices by converting the radical to a power with a rational exponent. This allows for easy manipulation of the expression.
Example 1:
To simplify the expression (^3 sqrt(2)) * (^4 sqrt(2)), we can convert the radicals to rational exponents:
(^3 sqrt(2)) * (^4 sqrt(2)) = (2^(3/2)) * (2^(4/2))
= (2^(3/2)) * 2^2
= 2^(3/2 + 2)
= 2^(7/2)
Example 2:
To simplify the expression (^3 sqrt(2)) / (^4 sqrt(2)), we can convert the radicals to rational exponents:
(^3 sqrt(2)) / (^4 sqrt(2)) = (2^(3/2)) / (2^(4/2))
= (2^(3/2)) / 2^2
= 2^(3/2 - 2)
= 2^(-1/2)
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Gaurav was conducting a test to determine if the average amount of medication his patients were taking was similar to the national average. He wants to use a 5% significance level for his test to help ensure that his patients do not receive too little or too much medication. If Gaurav were to conduct a test, what probability value would indicate that his null hypothesis (that there is no significant difference between the amount of medication Gaurav's patients are receiving and the national average) would be rejected?
A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.
In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.
Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.
If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.
The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.
If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.
Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.
Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.
This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.
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the management of a hotel found that they will sell all 800 tickets at 4 dollars per per person for a hour concert for one night only. For each 1 dollar increase in the gate fee,management expectes 100 fewer customers to buy tickets.How much should the management charge for gate fee so that it collects 3500 dollars from gate takings? hint. form equations and solve
Answer:
Step-by-step explanation:
Let x represent the rate at which the ticket is sold and let y represent the number of tickets sold at that rate.
When x = 4, y = 800
This means that the income from gate takings at this rate is 4 × 800 = $3200
For each 1 dollar increase in the gate fee,management expects 100 fewer customers to buy tickets. It means that the amount earned would be (x + 1)(y - 100)
For the amount to be $3500, it means that
(x + 1)(800 - 100) = 3500
700(x + 1) = 3500
x + 1 = 3500/700 = 5
Therefore, management should charge $5 per person for gate fee so that it collects 3500 dollars from gate takings.
Given A and b to the right, write the augmented matrix for the linear system that corresponds to the matrix equation Axequals
b.
Then solve the system and write the solution as a vector.
Aequals
left bracket Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column 2 3rd Column negative 3 2nd Row 1st Column negative 3 2nd Column negative 3 3rd Column 3 3rd Row 1st Column 4 2nd Column 2 3rd Column 4 EndMatrix right bracket,
bequals
left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 7 2nd Row 1st Column 15 3rd Row 1st Column negative 4 EndMatrix right bracket
Question content area bottom
Part 1
Write the augmented matrix for the linear system that corresponds to the matrix equation Upper A Bold x equals Bold b
.
The system has the following solution: \(x_1=-4,\ x_2=3,\ x_3=1\). The vector xequals can be used to represent the answer.
What is equation?A statement in mathematics demonstrating the equality of two expressions is called an equation. Two phrases with the same value are normally separated by the equals sign (=). Finding the area of a circle and predicting planetary motion are only two examples of the many practical issues that equations are used to address.
The linear system's augmented matrix, which is determined by the matrix equation A x = b is given by:
Aequals
\(\left[\begin{array}{ccc}1&-3&4\\2&-3&2\\-3&3&4\\-7&15&-4\end{array}\right]\)
Part 2:
Aequals
Write the system's solution as a vector after solving it.
We can use Gaussian Elimination to solve this system.
Step 1:
\(\left[\begin{array}{ccc}1&1&0\\2&-1&1\\-3&0&1\\-7&8&3\end{array}\right]\)
Step 2:
Aequals
\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\3&1&0\\-4&3&1\end{array}\right]\)
The system's solution is \(x_1=-4,\ x_2=3,\ x_3=1\). The vector xequals represents the answer.
The matrix is,
\(\left[\begin{array}{ccc}-4\\3\\1\end{array}\right]\)
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4. A small fruit basket contains the fruits
shown. A large basket has the same ratio of
fruits as the small basket. If the large basket
has 42 total pieces of fruit, how many are
pears? (Example 2)
Small
Type of Fruit
Apple 6
Orange 5
Pear 3
Nine pears in all are contained in the little basket. Based on distributive law, it operates.
What precisely is distributive law?The distributive law, which states that equality is always true in elementary algebra, is generalized by the distributive principle of binary operations in mathematics.. For instance, in basic mathematics, one has to One claims that addition distributes more evenly than multiplication.
According to the Distributive Law, multiplying a number by a collection of numbers is equivalent to performing each multiplication independently. Example: 3 × (2 + 4) = 3×2 + 3×4.
According to the information provided,
apple = 6
orange =5
pear=3
to add whole item;
6+5+3
=14
the no. of pears =total pieces of fruit in basket / total fruit
=42/14
=3
the no of pears = 3*3=9
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The annual rainfall in a certain region is approximately normally distributed with mean 42.2 inches andstandard deviation 5.3 inches. Round answers to the nearest tenth of a percent.a) What percentage of years will have an annual rainfall of less than 44 inches?%b) What percentage of years will have an annual rainfall of more than 39 inches?c) What percentage of years will have an annual rainfall of between 38 inches and 43 inches?%
Answer
(a) 63.3%
(b) 72.7%
(c) 28.7%
Explanation
Given:
\(\begin{gathered} Mean,\mu=42.2\text{ }inches \\ \\ Standard\text{ }deviation,\sigma=5.3\text{ }inches \end{gathered}\)(a) What percentage of years will have an annual rainfall of less than 44 inches?
First, we standardize 44 inches by changing x to z:
\(z=\frac{x-\mu}{\sigma}\)Here,
\(\begin{gathered} x=44,\mu=42.2,and\text{ }\sigma=5.3 \\ \\ z=\frac{44-42.2}{5.3}=\frac{1.8}{5.3} \\ \\ z=0.34 \end{gathered}\)So,
\(P(x<44)=P(z<0.34)\)Interpreting the result in a normal curve, we have:
\(\begin{gathered} 0.5+P(z=0.34) \\ \\ 0.5+0.1331=0.6331 \end{gathered}\)Therefore, the percentage to the nearest tenth will be:
\(0.6331\times100\%=63.3\%\)(b) What percentage of years will have an annual rainfall of more than 39 inches?
\(\begin{gathered} x=39,\mu=42.2,and\text{ }\sigma=5.3 \\ \\ z=\frac{39-42.2}{5.3}=\frac{-3.2}{5.3} \\ \\ z=-0.603 \end{gathered}\)So,
\(P(x>5.3)=P(z>-0.603)\)Interpreting the result in a normal curve, we have:
\(\begin{gathered} =0.5-P(z=-0.603) \\ \\ =0.5-(-0.2268) \\ \\ =0.5+0.2268 \\ \\ =0.7268 \end{gathered}\)Therefore, the percentage to the nearest tenth will be:
\(\begin{gathered} 0.7268\times100\% \\ \\ =72.7\% \end{gathered}\)(c) What percentage of years will have an annual rainfall of between 38 inches and 43 inches?
We need to find P(39 ≤ x ≤ 43).
Standardizing x to z by applying:
\(\begin{gathered} z=\frac{x-\mu}{\sigma} \\ \end{gathered}\)Here,
\(\begin{gathered} P(\frac{39-42.2}{5.3}\leq z\leq\frac{43-42.2}{5.3}) \\ \\ P(\frac{-3.2}{5.3}\leq z\leq\frac{0.8}{5.3}) \\ \\ P(-0.604\leq z\leq0.151) \end{gathered}\)Also, interpreting the result in a normal curve, we have:
\(\begin{gathered} P(z=0.151)-P(z=-0.604) \\ \\ P(z=0.151)+P(z=0.604) \\ \\ =0.060+0.2271 \\ \\ =0.2871 \end{gathered}\)Hence, the percentage to the nearest tenth will be:
\(\begin{gathered} 0.2871\times100\% \\ \\ =28.7\% \end{gathered}\)In summary,
(a) 63.3%
(b) 72.7%
(c) 28.7%
PLEASE HELP ME ASAP ILL GIVE BRAINLIEST
The absolute value function that matches the graph is given as follows:
y = -|x + 1| + 1.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
In which a is the leading coefficient.
The coordinates of the vertex in this problem are given as follows:
(-1, 1).
Hence:
y = a|x + 1| + 1.
The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:
a = -1.
Thus the function is:
y = -|x + 1| + 1.
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Please help so I can make my family proud
Answer:
sorry but multiply is all i can tell you
Step-by-step explanation:
Answer:
40.4 in²
Step-by-step explanation:
Add the two bases, divide in half, and multiply by the height.
15+5.2=20.2
20.2/2=10.1
10.1x4=40.4 in²
Rewrite the following polynomial in standard form.
Azim wants to buy a tablet computer that is priced at 180.50. If sales tax rate on the computer is 8%, how many dollars and cents will Azim spend on the sales tax?
Answer:
$14.44
Step-by-step explanation:
I'm pretty sure it's 14.44 because It says only the sales tax not the whole price together so you would take 8% turn it into .08 and multiply 180.50 by .08 and get 14.44 which is the sales tax. And if you were looking for the total it would be 194.94 but that's not what this question is asking(:
So these three sides form a right triangle?
7, 24, 25
Please Answer!!
i need help please!! its math !
Answer:
perimeter = 2(8x+3) + 2(5) area= (8x+3) • 5
Step-by-step explanation:
perimeter = 2(length) + 2(width)
if length equals (8x+3) and width equals 5 then you would just plug those numbers into the equation which gives you...
perimeter = 2(8x+3) + 2(5)
area = length • width
like i previously said above if length equals (8x+3) and width equals 5 than you would just plug those numbers into the equation which gives you...
area = (8x+3) • 5
A principal of $2700 is invested at 8% interest, compounded annually. How much will the investment be worth after 15 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
$8564.86 to nearest cent.
Step-by-step explanation:
Investment after 15 years = 2700(1 + 0.08)^15
= 8564.856608.
Is X 8 is a factor of f/x Which of the following must be true?
If (x + 8) is a factor of f(x), then the true statement is f(-8) = 0 .
In the question ,
it is given that , x \(+\) 8 is factor of f(x) ,
we have to select the correct option about f(x) from the given options .
When solving the polynomials, a factor of the polynomial gives the solution of the polynomial.
that means , x + 8 = 0
So , x = -8 ,
So , it means that when x = -8 , then the value of the function f(-8) will be zero ,
which means that x = -8 will be a root of the given function f(x) .
Therefore , the true statement is f(-8) = 0 .
The given question is incomplete , the complete question is
If (x + 8) is a factor of f(x), which of the following must be true ?
(a) Both x = –8 and x = 8 are roots of f(x).
(b) Neither x = –8 nor x = 8 is a root of f(x).
(c) f(–8) = 0
(d) f(8) = 0
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The temperature outside changed from 76°F to 41°F over a period of five days. If the temperature changed by the same amount each day, what was the daily temperature change?
A.
35°F
B.
-35°F
C.
7°F
D.
-7°F
Answer:
C. 7°F
Step-by-step explanation:
A $96.00 item is marked down by 25%
what is the new cost of the item?
round if needed
Answer:
$72.00
Step-by-step explanation:
Answer:
$72
Step-by-step explanation:
25% of $96 = \(\frac{25}{100}\) × \(\frac{96}{1}\) \(\frac{25}{100}\) × \(\frac{96}{1}\) = \(\frac{2400}{100}\) \(\frac{2400}{100} = 24\) $96 - $24 = $72I hope this helps!
Find the slope of the line that passes through (1, 14) and (4,9)
Which two numbers in the points represent x values? Select both in the
list.
In any coordinate pair, the first number is the x-value and the second number is the y-value.
To find the slope, simply take the difference of the y values and divide by the difference in the x values: (14-9)/(1-4) is equal to -5/3.
The slope of the line that passes through (1, 14) and (4,9) is -5/3.
It is find the slope of the line.
what is slope?The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).
The slope is always calculated from the rise divided by the run. Typically, the equation is presented as:
m = Rise/Run
If you have two points, the points should be \(P_{1} (x_{1} ,y_{1} )\) and \(P_{2} (x_{2} ,y_{2} )\) So, the equation would be:
\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
In any coordinate pair, the first number is the x-value and the second number is the y-value.
The difference of the y values and divide by the difference in the x values:
m=(14-9)/(1-4) is equal to -5/3.
The slope of the line that passes through (1, 14) and (4,9) is -5/3.
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Solve: -1/2 x +3 = -x+7
Answer:
thats the answer
Step-by-step explanation:
Which graph shows a function whose domain and range exclude exactly one value?
Answer:
C (the third graph)
Step-by-step explanation:
This graph's function has a domain and range that both exclude one value, which is 0. The x and y values are never 0 in the function, as it approaches 0 but never meets it.
Answer:
see below
Step-by-step explanation:
This graph has an asymptote at y = 0 and x=0
This excludes these values
The domain excludes x =0
The range excludes y=0
2 MATH QUESTIONS 20 POINTS
Answer:
1. B
2. -6,-3
Step-by-step explanation:
the temperatures at midday on march 1st in five cities are shown in the bar chart below. What is the difference in temperature between rome and munich?
The difference in temperature between Rome and Munich is given as follows:
6ºC.
How to obtain the difference in temperatures?The difference in temperature between Rome and Munich is given by the subtraction of Rome's temperature by Munich's temperature.
The bar graph in the context of this problem gives the temperature for each town.
From the bar graph given by the image presented at the end of the answer, the temperatures for Rome and Munich are given as follows:
Rome: 11 ºC.Munich: 5 ºC.Hence the difference in temperature between Rome and Munich is given as follows:
11 - 5 = 6ºC.
Missing InformationThe graph is given by the image presented at the end of the answer.
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No rush but can somebody help me ASAP I’ve been missing days of school and I’m behind !
Answer: 1.2
Step-by-step explanation:
Just use a calculator
Seven cards are drawn from an ordinary deck. In how many ways is it possible to draw (b) only 8's, 's and (c) no 's, 's and (d) exactly 2 or ; (e) spades and hearts? (a) Number of ways to draw only 's = 0 (b) Number of ways to draw only 's, 's, and 's = 924 (c) Number of ways to draw no 's, 's, and 's = 3838380 (d) Number of ways to draw exactly 2 s or s = 3,801,028 (e) Number of ways to draw spades and hearts = 55770 Question is complete. Tap on the red indicators to see incorrect answers.
Complete question :
Seven cards are drawn from an ordinary deck. In how mnat ways is it possible to draw (a) only 5s (b)only 8s, 9s, and 10s, (c) no 8s, 9s, and 10s (d) exactly 2 jacks or kings, (e) 5 spades and 2 hearts?
Answer:
0; 792 ; 100396 ; 30408224 ; 18643560 ;
Step-by-step explanation:
Number of cards in a deck = 52
Number of cards to be drawn = 7
Using combination:
nCr = n! ÷ (n-r)!r!
A.)
Number of 5's in a deck = 4
4C7 = 0
(B.)
only 8s, 9s, and 10s,
Number of 8, 9 and 10's = 4 *3 = 12
12C7 = 12! ÷ 5!7! = 792
(C)
no 8s, 9s, and 10s ;
Number of cards to select from = 52 - (3(4)) = 40C7 = 18643560
(D)
exactly 2 jacks or kings,
Number of jack or king in deck = 8 ; other 5 could be any of the rest : (52 - 8) = 44
8C2 * 44C5 = 28 * 1086008 = 30408224
(e) 5 spades and 2 hearts?
Number of spades = 13
Number of hearts = 13
13C5 * 13C2
1287 * 78 = 100396
Find the distance between the points (-3, 4) and (-3, -5).
Answer:
\(\displaystyle d = 9\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: \(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point (-3, 4)
Point (-3, -5)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: \(\displaystyle d = \sqrt{(-3+3)^2+(-5 - 4)^2}\)[Distance] [√Radical] (Parenthesis) Add/Subtract: \(\displaystyle d = \sqrt{(0)^2+(-9)^2}\)[Distance] [√Radical] Evaluate exponents: \(\displaystyle d = \sqrt{81}\)[Distance] [√Radical] Evaluate: \(\displaystyle d = 9\)Write an expression equivalent to 3+ 5y-4-5
plz help oml
Answer:
5y-6
Step-by-step explanation: