Answer:
Law of sines
Step-by-step explanation:
The law of sines is a formula used to find either an angle or side in a non-right triangle.
You have to have at least three parts to use it.
For example, if you have angle A and its side (a) along with angle B, you can use it to find side b.
A cook needs 7 cups of vegetable stock for a soup recipe. How much is this in pints? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer. Ú 08 Explanation Check fl oz qt X values: One... gal pt S .? © 2022 McGraw HilllLS ALL
Answer:
3 1/2 pints
Step-by-step explanation:
A pint is two cups
7 cups / 2cups/pint = 7/2 pint = 3 1/2 pints
Find n in this equation: 308P(n,2)=P(16,4)
Answer:
24
Step-by-step explanation:
7x4
An insurance policy sells for $600. Based on past data, an average of 1 in 50 policy holders
will file a $5,000 claim, an average of 1 in 100 policyholders will file a $10,000 claim, and an average
of 1 in 200 policyholders will file a $30,000 claim.
(a) Find the expected value (to the company) per policy sold.
(b) If the company sells 10,000 policies, what is the expected profit or loss?
Using the expected value of a discrete distribution, the values are given as follows:
a) $250.
b) $2,500,000.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
The distribution of the company's earnings is given as follows:
P(X = -4400) = 0.02.P(X = -9400) = 0.01.P(X = -29400) = 0.005.P(X = 600) = 0.965.Considering that the policy sells for $600, for example, a $5000 claim is a loss of $5000 - $600 = $4,400 for the company, which explains the above distribution.
Item a:
The expected value for a policy sold is given by:
E(X) = 600(0.965) - 4400(0.02) -9400(0.01) - 29400(0.005) = 250.
Item b:
Considering the value found in item a for a single policy, for 10,000 policies, the expected profit is given by:
E = 10000 x 250 = 2,500,000.
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7+5y=-13 solve for y
[tex]\large\displaystyle\text{$\begin{gathered}\sf 7+5y=-13 \end{gathered}$}[/tex]
Subtract 7 from both sides.
[tex]\large\displaystyle\text{$\begin{gathered}\sf 5y=-13-7 \end{gathered}$}[/tex]
Subtract 7 from −13 to get −20.
[tex]\large\displaystyle\text{$\begin{gathered}\sf 5y=-20 \end{gathered}$}[/tex]
Divide both sides by 5.
[tex]\large\displaystyle\text{$\begin{gathered}\sf y=\frac{-20}{5} \end{gathered}$}[/tex]
Divide −20 by 5 to get −4.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf y=-4 \end{gathered}$} }\large\displaystyle\text{$\begin{gathered}\sf \ \ \to \ \ \ Answer \end{gathered}$}[/tex]
VerificationWe let y = -4.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{7+5\times-4=-13 \ \ \to \ \ [ Multiply] } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{7-20 \ \ \to \ \ [Subtract] } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{-13=-13 \ \ \to \ \ [ Equality \ holds ]} \end{gathered}$}[/tex]
{ Pisces04 }Answer:
5y= -13-7
5y=-20
5y = -20
5 = 5
y = -4
Write an equation of a circle with the given center and radius
Center(-7,-6) Radius = 2
The equation of the circle is (x + 7)² + (y + 6)² = 4 if the center and radius are (-7,-6) and 2 respectively.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have center of the circle(h, k) = (-7, -6)
The radius of the circle r = 2
The standard form of a circle:
(x - h)² + (y - k)² = r²
(x - (-7))² + (y - (-6))² = 2²
(x + 7)² + (y + 6)² = 4
Thus, the equation of the circle is (x + 7)² + (y + 6)² = 4 if the center and radius are (-7,-6) and 2 respectively.
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in your own words , what is drecrete math
Answer:
Discrete mathematics is the study of mathematical structures that can be considered "discrete" rather than "continuous". Objects studied in discrete mathematics include integers, graphs, and statements in logic.
_____ ÷ ( - 9 ) = ( - 8 )
pls pls answer me question
please help me with this!!!!!!!!!!
Answer: 5 rides (for a cost of $35)
Step-by-step explanation:
The solution to your problem is the point of intersection. This is where the lines intersect, or cross over, each other. We can extend the lines to find the answer. See attached.
They intersect at point (5, 35) which represents 5 rides and 35 dollars.
1. La Sra. Hamilton quiere comprar pizarras y marcadores para su salón de
clases. Los tableros (b) cuestan $0.75 cada uno y los marcadores (m) cuestan
$0.50 cada uno. Escribe una expresión que muestre la cantidad total que
gastará en pizarras y marcadores.
Usando un sistema de ecuaciones, se encuentra que la expresión que muestra la cantidad total que gastará en pizarras y marcadores es:
G = 0.75b + 0.5m.
¿Qué es un sistema de ecuaciones?
Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.
En este problema, las variables son:
Variable b: Cantidad de tableros.Variable m: Cantidad de marcadores.Considerando el precio de cada producto(cada tablero = $0.75, cada marcador = $0.5), la expresión que muestra la cantidad total que gastará en pizarras y marcadores es:
G = 0.75b + 0.5m.
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list three keywords that refer to multiplication ?
Answer:
full list of words from this list
factor anything that contributes causely to a result
multiply the number by which multiplicant is multiplied
multiply the number that is multiplied by a multiplier
project and refer that has been created by someone or some process
Which diagram shows the medians of a triangle?
triangle 1
triangle 3
O A. triangle 1
OB. triangle 2
OC. triangle 3
OD. triangle 4
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triangle 2
triangle 4
medians of a triangle is triangle 4
Choose the system of inequalities that best matches the graph below.
The system of equations represented by the graph is the one in option b.
Which is the graphed system of equations?We can see that the graph is:
A solid line with a positive slope, such that the region above the line is shaded.
This is represented by:
y ≥ line.
And we can see a horizontal line at y = 4, the line is dashed and the region below the line is shaded, then we have:
y < 4
Then the system is of the form:
y ≥ line.
y < 4
The only option that has that form is option B, so that is the correct one.
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Angles X, Y, and Z are supplementary. The sum of the measure of Angles X and Y is 3 more than double the measure of Angle Z. What is the measure of Angle Z
Answer:
59 degrees
Step-by-step explanation:
Supplemental means that the angles add to 180.
x + y + z = 180
x + y = 2z + 3
Replace x + y in the top equation with 2z + 3
2z + 3 = z = 180
3x + 3 = 180 Combine the z's.
3x = 177 subtract 3 from both sides
x = 59
Lydia has half of her investments in stock paying an 11% dividend and the other half in a stock paying 14% interest. If her total annual interest is $440, how much does she have invested?
Answer
Based on the calculations, the amount of money she invested is equal to $3,520.
How to determine the amount invested?First of all, we would assign variables to the amount of money that he invested at different interest rates as follows:
Let x be the amount of money she invested at 11%.Let y be the amount of money she invested at 14%.Since Lydia invested the same amount of money in both stocks, we have:
x = y ....equation 1.
At the two interest rates, the total amount Lydia gets is given by:
0.11x + 0.14y = 440 ....equation 2.
Solving the equations simultaneously, we have:
0.11y + 0.14y = 440
0.25y = 440
y = 440/0.25
y = $1,760.
Thus, the total investment is given by:
Total investment = 1760 + 1760
Total investment = $3,520.
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The functions f(x)=x²-1 and g(x) = -x² + 4 are shown on the graph.
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
The solution to the given graph is (-√5/2, √5/2)
Quadratic graphGiven the following quadratic graph f(x)=x²-1 and g(x) = -x² + 4
The solution will be the point of intersection of the two curves.
Equate the functions
x²-1 = -x² + 4
Equate to zero
x²+x² - 1- 4 = 0
2x² -5 = 0
2x² = 5
x² = 5/2
x = ±√5/2
Hence the solution to the given graph is (-√5/2, √5/2)
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Solve for x. Round to the nearest hundredth if necessary.
Answer:
Step-by-step explanation:
[tex]\frac{19}{x}[/tex] = tan 29°
x = [tex]\frac{19}{tan29^o}[/tex] ≈ 34.28
You have 20 coins (8 silver dollars, 7 quarters, and 5 dimes) and plan to sell 8 at random. What is the probability that you sell 3 silver dollars, 2 quarters, and 3 dimes?
Answer: 0.01225%
Step-by-step explanation:
[tex]\frac{8}{20} *\frac{8}{20} *\frac{8}{20} *\frac{7}{20} *\frac{7}{20} *\frac{5}{20} *\frac{5}{20} *\frac{5}{20} = \frac{49}{400000} =0.0001225=0.01225[/tex]%
( will give brainliest)
How many 4-letter words with at least one vowel can be constructed from the letters A, B, C, D, and E? (Note that A and E are vowels, any word is valid, not just English language words, and letters may be used more than once.)
Answer:
544 words
Step-by-step explanation:
The number of 4 letter words can be constructed from ABCDE would be 5^4 = 625
The number of 4 letter words can be constructed using BCD would be 3^4 = 81
So the number of words that use at least one vowel would be 5^4 - 3^4 = 625-81 = 544
Solve for x in the diagram below.
Vertical angles are congruent, so:
[tex]4x+50=150\\\\4x=100\\\\x=\boxed{25}[/tex]
Estimate the average rate of change from x=3 to x=7 .
[tex]f(3) = 1 \: \: \: \: \: \: \: \: f(7) = 3[/tex]
[tex] \frac{f(7) - f(3)}{7 - 3} = \frac{3 - 1}{4} = \frac{2}{4} = 0.5[/tex]
Are the expressions –0.5(3x 5) and –1.5x 2.5 equivalent? explain why or why not.
Answer:
not equivalent; signs don't match
Step-by-step explanation:
Apparently, you want to compare the expressions ...
-0.5(3x +5)-1.5x +2.5Distributive propertyThe distributive property allows you to eliminate parentheses by multiplying each term inside parentheses by the factor outside.
ApplicationWhen we do that to the first expression, we get ...
-0.5(3x +5) = (-0.5)(3x) +(-0.5)(5) = -1.5x -2.5
Note that the signs of the terms inside parentheses are the same, and the signs of the terms after removing parentheses are the same. (Both terms have their signs changed by the negative factor multiplying the parentheses.)
The expanded expression -1.5x -2.5 is not equivalent to -1.5x +2.5, which has terms of different signs.
You know the area (A = 300 ft^2) and the width (w = 4 ft), but not the length. Rewrite the formula by dividing both sides by the width.
length = Answer
Answer:
Length equals to 75 ft
Step-by-step explanation:
A=l x w Area of a rectangle formula.
A/w=l Solve for length
300=l x 4
300=l x 4
4 4
300/4=l
75=l
una familia compuesta por 4 personas van a celebrar el cumpleaños de su hijo para lo cual compran una torta y realizan el siguiente reparto: una familia compuesta por 4 personas van a celebrar el cumpleaños de su hijo para lo cual compran una torta y realizan el siguiente reparto: la mamá recibe 1/7 de pastel; el papá recibe 3/14 de pastel; el hijo mayor recibe 2/7de pastel; ¿qué cantidad recibió el cumpleañero?
Durante la celebración familiar del cumpleaños y aplicando las propiedades de los números fraccionarios, el hijo menor recibió 5/14 de la torta.
¿Cuánta proporción del pastel recibió el cumplimentado?
En esta pregunta tenemos una torta de cumpleaños, que asumimos de forma circular. Si leemos con cuidado el enunciado, encontramos que la proporción del pastel correspondiente al cumplimentado mediante la siguiente sustracción de fracciones:
x = 1 - 1/7 - 3/14 - 2/7
x = 6/7 - 3/14 - 2/7
x = 4/7 - 3/14
x = 8/14 - 3/14
x = 5/14
Durante la celebración familiar del cumpleaños y aplicando las propiedades de los números fraccionarios, el hijo menor recibió 5/14 de la torta.
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Given the function f(x) = −3x2 + 4x + 6, find f(2) and f(3). Choose the statement that is true concerning these two values.
The value of f(2) is the same as the value of f(3).
The value of f(2) cannot be compared to the value of f(3).
The value of f(2) is smaller than the value of f(3).
The value of f(2) is larger than the value of f(3).
PLEASE Help NOW
The true statement is the value of f(2) is larger than the value of f(3).
How to evaluate the function?The function is given as:
f(x) = −3x^2 + 4x + 6
Calculate f(2) and f(3), as follows:
f(2) = −3(2)^2 + 4(2) + 6 = 2
f(3) = −3(3)^2 + 4(3) + 6 = -9
By comparison;
f(2) is greater than f(3) because 2 > 9
Hence, the true statement is the value of f(2) is larger than the value of f(3).
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The Mega Millions lottery is available in multiple states including New Jersey. A Mega Millions ticket consists of 5 different numbers from 1 to 70, followed by the "Mega Ball" number which is a number 1 to 25. To win the jackpot the player must match all 6 numbers (the 5 chosen from 1 to 70, and the Mega Ball number). The order of the numbers does not matter. If you were to purchase a single ticket, what is the probability that you'll win the jackpot?
A. 1/302575350
B. 1/42017500000
C. 1/36309042000
D. 1/12103014
Using the combinations formula, the probability that you'll win the jackpot is given by:
A. 1/302575350.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
5 numbers are selected from a set of 70, along with one number from a set of 25, hence the number of combinations is given by:
[tex]C_{70,5}C_{25,1} = \frac{70!}{5!65!} \times \frac{25!}{1!24!} = 302575350[/tex]
Only one combination is correct, hence the probability of winning is given by:
A. 1/302575350.
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the range of the function?
1 2
2 4
3 9
4 16
Answer:
2,4,9,16
Step-by-step explanation:
2
4
9
16
are range because they are exactly opposite of domain
mrs sen has a swuare piece of cloth of side 100 cm.how many square pieces of cloths of sude 25 cm can be cut from the cloth
Answer:
16 pieces
Step-by-step explanation:
(100*100)-(25*25)=16
Recently, a certain bank offered a 10 year CD that earns 2.97% compounded continuously.
Use the given information to answer the questions:
Using continuous compounding, it is found that:
a) The account will be worth $26,916.31 in 10 years.
b) It will take 42.18 years for the account to be worth $70,000.
What is compound interest?The amount of money earned, in continuous compounding, after t years, is given by:
[tex]A(t) = Pe^{rt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value).The parameters are given as follows:
A(0) = 20000, r = 0.0297, t = 10.
Hence the worth in 10 years will be given by:
[tex]A(t) = Pe^{rt}[/tex]
[tex]A(10) = 20000e^{0.0297 \times 10}[/tex]
A(10) = $26,916.31.
Now, we find in how many years it will be worth $70,000, as follows:
[tex]A(t) = Pe^{rt}[/tex]
[tex]70000 = 20000e^{0.0297t}[/tex]
[tex]e^{0.0297t} = 3.5[/tex]
[tex]\ln{e^{0.0297t}} = \ln{3.5}[/tex]
[tex]0.0297t = \ln{3.5}[/tex]
[tex]t = \frac{\ln{3.5}}{0.0297}[/tex]
t = 42.18 years.
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The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the triangle? Select three options. 0.5(x)(x + 2) = 24 x(x + 2) = 24 x2 + 2x – 24 = 0 x2 + 2x – 48 = 0 x2 + (x + 2)2 = 100
The equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
How to determine the legs of the triangle?The complete question is in the attached image
The given parameters are:
Area = 24
Legs = x and x + 2
The area of the triangle is calculated as:
Area = 0.5 * Base * Height
This gives
0.5 * x * (x + 2) = 24
So, we have:
0.5(x)(x + 2) = 24
Divide through by 0.5
(x)(x + 2) = 48
Expand
x^2 + 2x = 48
Subtract 48 from both side
x^2 + 2x - 48 = 0
Hence, the equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
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?????????????????????????
Answer:
[tex]\sqrt[10]{4}[/tex]
Step-by-step explanation:
Apply power to power rule on the exponents, [tex]\frac{2}{5}*\frac{1}{4} = \frac{1}{10}[/tex] when simplified
[tex]4^\frac{1}{10}[/tex] is also the same as [tex]\sqrt[10]{4}[/tex]
Answer:
[tex]\sqrt[10]{4}[/tex]
Step-by-step explanation:
We know that,
[tex](a^{x} )^y=a^x^y\\\sqrt{x} =x^{\frac{1}{2} } \\x^\frac{1}{y} =\sqrt[y]{x}[/tex]
By following those, let us solve the given expression.
[tex](4^\frac{2}{5} )^\frac{1}{4} \\\\4^\frac{2*1}{5*4} \\\\4^\frac{2}{20} \\\\4^\frac{1}{10}\\\\\sqrt[10]{4}[/tex]