Answer:
27/256
Step-by-step explanation:
=(27)(1/4)(1)/(64)
=27/256
2. Esther trabaja como mesera en el restaurante de su familia. Ella trabaja 2 horas cada mañana durante el turno del
desayuno y regresa a trabajar cada noche para el turno de la cena. En los últimos cuatro días ella trabajó 28 horas.
Si Esther trabaja la misma cantidad de horas todas las noches, ¿cuántas horas trabajó durante cada turno de la
noche?
Respuesta:
5
Explicación paso a paso:
28- (2*4)= 20
20/4=5
28 es el total de horas
2 horas por la mañana durante cuatro días
20 es el total de horas por la noche
4 días trabajados
5 es horas cada día durante la noche
Answer:
Durante cada turno de la noche Esther trabajo 5 horas
Step-by-step explanation:
Primero hallemos cuantas horas trabaja Esther en un día
[tex]2 + x = horas\ en \ un\ dia[/tex]
2 es el número de horas que trabaja en cada turno de la mañana y [tex]x[/tex] el número de horas que trabaja en su turno de la noche (en este momento desconocemos el valor de [tex]x[/tex] y es el que queremos hallar). Ahora se tiene que en 4 días ester trabaja 28 horas en total, por lo tanto, multiplicamos 4 a ambos lados de la ecuación para conservar la igualdad
[tex]4\times (2 + x) = horas\ en \ cuatro \ dias[/tex]
[tex]8+4x= 28[/tex]
Ahora se despeja [tex]x[/tex] de la ecuación anterior
[tex]4x=28-8=20\\x=\frac{20}{4} =5[/tex]
De tal manera que Esther en cada turno nocturno trabaja 5 horas
Determine which set of side measurements could be used to form a triangle.
O 13, 19, 7
O 25, 12, 13
18, 2, 24
03, 1,5
Answer:
three
Step-by-step explanation:
o 13, 19, 7
6. Jenny's family ordered 4 medium pizzas. They only ate 2.5 pizzas.
How many pizzas were left over? Write your answer as a decimal.
need help with homework
Horizontal asymptotes of the given graph is given by y = -4.
As given in the question,
From the given graph we observed :
Value of each unit on x -axis is equal to 1
Value of each unit on y -axis is equal to 1.
For the standard equation of line y = mx + b
When input values tends to ∞ or -∞ graph approaches to infinity to both the ends.
Horizontal asymptote is given y = b as per the value of b .
Here in the given graph ,
When input values tends to to ∞ or -∞ graph approaches to infinity to both the ends then horizontal asymptote is given by y = -4.
Therefore, horizontal asymptotes of the given graph is given by y = -4.
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Find the x- and y-intercept of the line.
-1.2x + 8.2y = 39.36
The x- and y-intercept of the line -1.2x + 8.2y = 39.36 are -32.8 and 4.8
Finding x and y intercepts of a line:An intercept is a point at which the line crosses the axis of a graph. The point at which the line crosses the x-axis is known as the x-intercept, whereas if a line crosses the y-axis at a point, then the point will be the y-intercept.
Here we have,
-1.2x + 8.2y = 39.36
To find x - intercept substitute y = 0
=> -1.2x + 8.2(0) = 39.36
=> -1.2x = 39.36
=> x = 39.36/1.2
=> x = -32.8
To find y - intercept substitute x = 0
=> -1.2(0) + 8.2y = 39.36
=> 8.2y = 39.36
=> y = 39.36/8.2
=> y = 4.8
Therefore
The x- and y-intercept of the line -1.2x + 8.2y = 39.36 are -32.8 and 4.8
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Model Real Life Hardee County is a rectangular county in Florida with an area of 637 square miles. What is the width of Hardee County?
The width of the rectangular Hardee County, considering it's area, is given as follows:
21.23 miles.
How to obtain the area of a rectangle?The area of a rectangle of length l and width w is obtained by the multiplication of these dimensions, as follows:
Area = length x width.
For the rectangular Hardee County, the parameters are given as follows:
The area is of 637 square miles.The length is of 30 miles, as shown by the image given at the end of the answer.The width is to be discovered.Considering the area and the length, the width is obtained as follows:
Area = length x width
30w = 637
w = 637/30
w = 21.23 miles.
(the area is in miles squared, hence both dimensions are in miles).
Missing InformationThe problem is shown by the image at the end of the answer.
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NO LINKS!! Please assist me with this problem Part 2m
Answer:
[tex]\textsf{(a)} \quad \boxed{9a-3}[/tex]
[tex]\textsf{(b)} \quad \boxed{-9a-3}[/tex]
[tex]\textsf{(c)} \quad \boxed{-9a+3}[/tex]
Step-by-step explanation:
Given function:
[tex]f(x) = 9x - 3[/tex]
Part (a)
To find f(a), substitute x = a into the function:
[tex]\implies f(a)=9a-3[/tex]
Part (b)
To find f(-a), substitute x = -a into the function:
[tex]\implies f(-a)=-9a-3[/tex]
Part (c)
To find -f(a), first substitute x = a into the function:
[tex]\implies f(a)=9a-3[/tex]
Then make the function negative:
[tex]\begin{aligned}\implies -f(a)&=-(9a-3)\\&=-9a+3 \end{aligned}[/tex]
What type of correlation is suggested by the scatter plot?
Positive Correlation
Negative Correlation
Equal Correlation
No Correlation
Answer:
Positive
Step-by-step explanation:
Appears to be a POSITIVE correleation
as height increases so does weight
How many three-letter "words" can be made from 4 letters "FGHI" if
a. repetition of letters is allowed
b. repetition of letters is not allowed
The number of three letter words that can be formed from the 4 letters "FGHI" is
(a) when repetition allowed is 64
(b) when repetition not allowed is 24 .
In the question ,
the four letters are given as "FGHI" ,
we need to find the how many 3 letter words can be formed ,
(a) when repetition is allowed
= (selecting a letter from 4 given letters)×(selecting a letter from 4 given letters)×(selecting a letter from 4 given letters) .
= ⁴C₁ × ⁴C₁ × ⁴C₁
= 4 × 4 × 4 .... because ⁴C₁ = 4
= 64
(b) when repetition not allowed
= (selecting a letter from 4 given letters)×(selecting a letter from the remaining 3 letters)×(selecting a letter from the remaining 2 letters)
= ⁴C₁ × ³C₁ × ²C₁
= 4 × 3 × 2
= 24
Therefore , The number of three letter words that can be formed from the 4 letters "FGHI" is (a) when repetition allowed is 64 , (b) when repetition not allowed is 24 .
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Evaluate the expression 2x square
+ 4y - z when x = 7, y = 9, and z = 11
Answer:
123
Step-by-step explanation:
2x square = 2.7 square = 98
98 + 4y = 98 + 4.9 = 98 + 36 = 134
134 - z = 134 - 11 = 123
Ur Wellcome ;)
Solve the system of equations by graphing.
x-y=5
x+y=11
Answer: (8,3)
Step-by-step explanation:
See the picture attached
State all integer values of xx in the interval -4 ≤ x ≤ 3 that satisfy the following inequality: -5x -3 > 8
The integer which satisfies both inequalities -4 ≤ x ≤ 3 and -5x -3 > 8 are -3 and -4.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
As per the given first inequality,
-4 ≤ x ≤ 3
The integer associated with the above inequality is -4,-3,-2,-1,0,1,2,3.
As per the given second inequality,
-5x -3 > 8
-5x > 8 + 3
-5x > 11
x < -11/5
x < -2.2
The integer associated with the above inequality is -3,-4....
The integer satisfies both inequalities are -3 and -4.
Hence "The integer which satisfies both inequalities -4 ≤ x ≤ 3 and -5x -3 > 8 are -3 and -4".
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PLEASE HELP NEED ANSWER ASAP WILL MARK BRAINLIEST
△ABC has a right angle at C, BC=9.2 centimeters, and m∠A=63∘.
What is CA ?
Enter your answer rounded to the nearest tenth in the box.
Answer:
49 degrees
Step-by-step explanation:
Answer:
4.7 cm
Step-by-step explanation:
I took the test
1. Arrange the scores in order from least to greatest
2. Arrange the absolute values of the scores in order from least to greatest
Answer:
From least to greatest
= -7, -3, 2, 5
Absolute values from least to greatest
= 2, 3, 5, 7
(Absolute value is the distance of a number from 0 in the number line regardless of the direction, so I think this is the answer)
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $
.
The florist will break-even after
one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (
,
).
Answer:
We use the attached graph
a. The maximum profit is the y value that is the value of P(x) that reaches maximum. From the graph the maximum value of P(x) is 675
So the maximum profit the florist will earn from selling bouquets = $675
b. Break even is the point where the profit p(x) becomes 0
From the graph we can see that P(x) =0 at x= -10 and x=20
x=-10 is invalid
So, break even after 20 one- dollar decreases
c. The interval of number of one dollar decreases is where the profit P(x) is greater than 0.
From the graph its very clear that the profit P(x) is greater than 0 in the interval 0 to 20.
So, The interval of number of one dollar decreases for which the florist makes a profit from celebration bouquet is (0, 20)
Find x and y. I need it ASAP
Answer:
x=12 y=15
Step-by-step explanation:
15-9=6 6+6=12
18-9=9 6+9=15
BASSICALY FRE POINTS!!!
Given the equation k over 12.6 equals 7.4, determine the value of k.
93.24
20.0
5.2
1.70
The value of k in the equation k over 12.6 equals 7.4 is A. 93.24
What is temperature?Temperature simply means the degree of hotness and coldness in a body.
Based on the information given, the equation is expressed as k over 12.6 equals 7.4. This will be:
k / 12.6 = 7.4
Cross multiply
k = 12.6 × 7.4
k = 93.24
Therefore, the correct option is A.
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after 2 minutes a submarine had descended -390 feet. after 9 minutes the submarine had descended to -600 feet. assuming a linear function write an equation in the form d(t)=mt+b that shows the depth d(t) after t minutes.
The expression of time taken for the submarine to descend in
d(t)= mt + b is
d(t) = -30t - 330How to write the expressiondata gotten from the question
after 2 minutes a submarine had descended -390 feet
-390 = 2m + b
after 9 minutes the submarine had descended to -600 feet
-600 = 9m + b
The data from the question gives two linear equations with two unknown
-600 = 9m + b
-390 = 2m + b
solving the equations gives
m = -30
b = -330
the equation is then written as
d(t) = -30t - 330
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Need help fast thank you
Answer: 1. 12.5 miles per hour 2. 0.36 hours
Step-by-step explanation:
Please refer to this explanation:
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The cost of the pendant is 3/4 the cost of the bracelet. If their total cost is P413 how much does the pendant cost?
Answer:
P 717
Step-by-step explanation:
Fraction addition using algebra:
Let the cost of bracelet = x
[tex]\sf Cost \ of \ pendent = \dfrac{3}{4}*Cost \ of \ bracelet[/tex]
[tex]\sf = \dfrac{3}{4}x[/tex]
Cost of bracelet + cost of pendent = 413
[tex]\sf x + \dfrac{3}{4}x = 413\\\\ \dfrac{4}{4}x+\dfrac{3}{4}x=413[/tex]
[tex]\sf \dfrac{7}{4}x=413[/tex]
Muliply both sides by 4,
[tex]\sf 4*\dfrac{7}{4}x = 413*4\\\\[/tex]
7x = 413 * 4
Now, divide both sides by 7
[tex]\sf x = \dfrac{413*4}{7}\\\\ x = 59*4\\\\x = 236[/tex]
Cost of bracelet = P 236
Cost of pendent = 413 - 236
= P 177
Table salt (sodium chloride, NaCl) is 40% sodium (Na) by weight. If a box of salt weighs 26 ounces, how much Na is in the box of salt?
The quantity of sodium in the salt is 10.4 ounces
How to find the quantity of sodium in the saltinformation from the problem
Table salt (sodium chloride, NaCl) is 40% sodium (Na) by weight
If a box of salt weighs 26 ounces, how much Na is in the box of salt
The question is a percentage problem, percentage deals with a fraction hundred and used as follows
40%
= 40 percent
= 40 / 100
= 0.4
The factor 0.4 of the total weight of the salt is what we calculate
the total number is 26 ounces
= 0.4 * 26
= 10.4
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The speed of a stream is 5 mph. A boat travels 9 miles upstream in the same time it takes to travel 19 miles downstream. What is the speed of the boat in still water?
Answer: 14 mph
Step-by-step explanation:
Let x = the speed of the boat in still water.
Then the speed of the boat relative the bank of the river is u-5 km/hb when it moves upstream, and u+5 when it moves downstream.
We can write the basic equation for travel and distance problems
Time = Distance/Speed in the form
t = 9/x-5 for moving upstream, and
t = 19/x+5 for moving downstream.
Since the left side, t, is the same in both equations, you get a single equation for u
9/x-5 = 19/x+5
To solve it, multiply both sides by the product (x-5)*(x+5) and simplify:
9*(x+5) = 19*(x-5),
9x + 45 = 19x - 95,
45 + 95 = 19x - 9x,
10x = 140,
u = 140/10 = 14 mph.
hope this helps
6.04 x 10 to the power of negative 3 as an standard form
Answer:
The correct answer is 0.00604
Step-by-step explanation:
Tip: Think of how a number line is displayed: negative numbers are on the left side of the mid-point, zero in most cases, and positives numbers are to the right of the mid-point.
Since the exponent is a negative number, you know that you need to move the decimal point to the left the same number of places as the exponent. In this problem, the exponent is –3, meaning that you need to move the decimal point 3 places to the left.
*Remember to fill in any gaps with a zero after moving the decimal point.* Your answer should look like this: 6.04 in standard form is 0.00604
Hope that helps! Have an amazing rest of your day! Brainliest welcome! :)
Mrs. Gutierrez is obsessed with yoga outfits. She has $120 budget to purchase outfits,
and she wants to buy one pair of pants and three tops. If the price of one pair of yoga
pants is $43, what is the highest possible price of a yoga top that Mrs. Gutierrez can
purchase, if each top is the same price?
Answer:
$25.67
Step-by-step explanation:
120 - 43 = 77
77/3 = 25.67
a car travel 221 miles in 4 hours and 15 minutes. How many miles does it travel per hour?
Answer: 52 miles per hour
Step-by-step explanation:
15/60=.25
4 hours
221 miles
221/4.25
52 miles per hour
Need help with question
The first derivative by implicit differentiation of 2 · x⁶ + 5 · x⁴ · y - 7 · x · y⁶ = 8 is y' = (7 · y⁶ - 20 · x³ · y - 12 · x⁵) / (5 · x⁴ - 42 · x · y⁵).
How to find the derivative of a given function by implicit differentiation
Implicit differentiation is a differentiation method for implicit functions that combines chain rule and derivative rules. First, define the original function:
2 · x⁶ + 5 · x⁴ · y - 7 · x · y⁶ = 8
Second, use chain rule and derivative rules in the expression of the previous step:
12 · x⁵ + 20 · x³ · y + 5 · x⁴ · y' - 7 · y⁶ - 42 · x · y⁵ · y' = 0
Third, clear y' within the resulting equation:
12 · x⁵ + 20 · x³ · y - 7 · y⁶ + (5 · x⁴ - 42 · x · y⁵) · y' = 0
(5 · x⁴ - 42 · x · y⁵) · y' = 7 · y⁶ - 20 · x³ · y - 12 · x⁵
y' = (7 · y⁶ - 20 · x³ · y - 12 · x⁵) / (5 · x⁴ - 42 · x · y⁵)
The first derivative is y' = (7 · y⁶ - 20 · x³ · y - 12 · x⁵) / (5 · x⁴ - 42 · x · y⁵).
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________ where f(x) =5-2x^2 increasing?
(-inf,0)
(0,inf)
(-inf,inf)
(-inf,5)
The quadratic function is increasing on the interval:
(-∞, 0)
On which interval is the function increasing?
Here we want to see on which intervals is the quadratic function increasing.
Or function is:
f(x) = 5 - 2x^2
Notice that we have a negative leading coefficient, which means that the parabola opens downwards.
Then the function will be increasing from negative infinity to the x-value of the vertex.
Remember that for the general quadratic:
y = a*x^2 + b*x + c
the x-value of the vertex is:
x = -b/2a
In this case we don't have a linear term, so b = 0, then the vertex is at x = 0.
Which means that the function is increasing on the interval (-∞, 0)
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Graph the logarithmic function g(x) = log₂ (x+2) −3.
The graph of the given logarithmic function is (see in attachments).
Graph:
In mathematics, a graph is an orderly visual representation of any data. The graph shows how the variable quantities are related to one another. A graph is used in graph theory to represent the collection of objects that are interconnected in some way. The edges between the nodes reflect the connections between the nodes, while the vertices or nodes of the objects are essentially mathematical concepts.
Numerous types of graphs are used to visually display data in mathematics and statistics. Graph theory is the study of points and lines. It is a field of mathematics that focuses on graph analysis.
This image provides a visual representation of the mathematical truth. Graph theory is a method for studying relationships.
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Find the value of the linear correlation coefficient r. Round your answer to 3 decimal places if necessary.
(1 , 6) , (3 , 4) , (5 , 2)
The correlation coefficient, r, of the data (1 , 6) , (3 , 4) , (5 , 2) is calculated as: r = -1
What is Correlation Coefficient?The correlation coefficient can be described as a numerical value that ranges from -1 through 0, to 1. It is a test of the strength of the relationship between two different variables. It is denoted as "r".
The formula for finding the correlation coefficient (r) between two variables x and y is given as:
r = Σ(xi - mean of x)(yi - ȳ) / √(Σ[xi - mean of x)²Σ(yi - ȳ)²]
Given the following data:
(1 , 6) , (3 , 4) , (5 , 2)
Therefore, the table in the attached diagram shows how to derive each of the variables in the formula used for calculating the correlation coefficient, r, between X and Y.
Thus, applying the formula, we have:
Correlation coefficient (r) = -8/√(8*8)
Correlation coefficient (r) = -1
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The sum of two numbers is 26. Their difference is 8. What are the two numbers?
Answerx=7
Step-by-step explanation:
Answer: 18
Step-by-step explanation: All you do is subtract 26 by 8 and you get 18. 18+8=26 :)