Which graph represents all the solutions of the inequality 10n+3>8n+7?
Answers
Answer:
what graphs are you talking about
Step-by-step explanation:
Related Questions
Ryan invested \$4,800$4,800 in an account in the year 1990, and the value has been growing exponentially at a constant rate. The value of the account reached \$6,300$6,300 in the year 1998. Determine the value of the account, to the nearest dollar, in the year 2007.
Answers
The value of the account to the nearest dollar in 2007 is $6,929.76
How to determine the value of an account?We should know that value is the amount left in an account at a particular time
The given parameters are
In 1990 the value is = $4,800.
In 1998, the value is =$6,300
From 1990 to 1998 there are 8 years
Increase in the investment
Using simple interest,
SI= (P*T*R)÷100
Applying the figures in the formula
1500=(4800*8*R)÷100
⇒ 15000=30400R
Making R the subject we have
R= 4.93%
⇒ 4.93% of 4800 *9 = $2129.76
Add initial cost of investment and the interest for 9 years
=$(4800+2129.76)
=$6929.73
In conclusion, the value of the account would on the $6929.76
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If you had a spinner with four possible outcomes and a six sided cube numbered 1-6. What is the sample space for the experiment?
Answers
Answer:
24
Step-by-step explanation:
The spinner has 4 equally possible outcomes. The die has 6 equally possible outcomes.
Multiply the possible outcomes.
4*6=24
The diagram shows the dimensions of a solid concrete patio in the shape of a right rectangular prism.
How much concrete was used to make the patio?
O A 1.44 m3
OB. 7.80 m
O c. 14.50 m
OD. 30.34 m
Answers
Answer: A
Step-by-step explanation: i multiplied all the sides
The quantity of concrete used to make the patio is 1.44 m³
Since the solid concrete patio is a right rectangular prism, to find the amount of concrete used in making the patio, we find its volume.
So, the volume of the patio, V = lbh where l = length of patio = 4.5 m, b = width of patio = 3.2 m and h = thickness of patio = 0.1 m
So, V = 4.5 m × 3.2 m × 0.1 m = 1.44 m³
The quantity of concrete used to make the patio equals the volume of the patio.
So, the quantity of concrete used to make the patio is 1.44 m³
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Milk and cream I miss together for recipe the total volume I make use one cup with the milk contains 2% cream contains 18% bad Milk and creamer mix to gather for a recipe for total volume on to make use one cup if the milk contains 2% fat and gross cream contains 18% that makes you contain 6% that how much cream is in the measure
Answers
Answer:
25% or ¼
Step-by-step explanation:
We are told that the milk contains 2% (0.02) fat and gross cream contains 18%(0.18) that makes you contain 6%(0.06)
Let x be the volume of the cream in the mixture.
Since 1 cup, then volume of milk in the mixture will be; (1 - x)
Setting up the equation, we have;
0.18x + 0.02(1 - x) = 0.06
0.18x + 0.02 - 0.02x = 0.06
0.16x = 0.06 - 0.02
x = 0.04/0.16
x = 0.25
Converting to percentage gives; 25% or ¼
describe transformation of \(y= \frac{x^{4} }{6x+6}\)
Answers
The transformation of \(\(y= \frac{x^{4} }{6x+6}\)\) graph is compressed by a factor of 2.
The function is a rational function in which the numerator is a degree 4 polynomial, and the denominator is a degree 1 polynomial.
Rational functions are in the form of \(\(f(x) = \frac{p(x)}{q(x)}\)\), where p(x) and q(x) are polynomial functions and the degree of p(x) is less than the degree of q(x).
To transform a graph of a function, one can translate, stretch, or reflect it.
Here are some of the transformations of the function \(\(y= \frac{x^{4} }{6x+6}\)\)
Vertical Shift: To get the new graph, we add or subtract a constant from the function.
When f(x) is replaced with f(x) + k, we get a graph that is k units above the graph of f(x). In this case, if we subtract 2 from the equation, we get the following equation:
\(y = (x^4) / (6x+6) - 2\)
This means that the graph of the function is shifted 2 units downwards.
Horizontal Shift: To get the new graph, we add or subtract a constant to the variable.
When f(x+c) is replaced with f(x), the graph is shifted c units to the left.
When f(x-c) is replaced with f(x), the graph is shifted c units to the right.
In this case, we can shift the graph by substituting x-2 for x in the function.
The new function is: \(y = ((x-2)^4) / (6(x-2)+6)\)
This means that the graph is shifted 2 units to the right.
Vertical Stretch/Compression: When a constant is multiplied to the function, the graph is vertically stretched or compressed.
In this case, if the function is multiplied by 2, we get the following function:
\(y = 2(x^4) / (6x+6)\)
This means that the graph is compressed by a factor of 2.
It can also be stretched by dividing the function by a constant.
Horizontal Stretch/Compression:
When a constant is multiplied to the variable of the function, the graph is horizontally stretched or compressed. In this case, if the variable is divided by 2, we get the following function:
\(y = (x^4) / (3x+3)\)
This means that the graph is compressed by a factor of 2.
It can also be stretched by multiplying the variable by a constant.
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Solve for z.
A= x + 5 + Z
Answers
Answer:
Z = A - x - 5
Step-by-step explanation:
A = x + 5 + z
Make the equation equal to z by moving the x and 5 to the side of the = with A. Move the x and 5 by subtracting x and 5 from both sides.
A - x = 5 + z
A - x - 5 = z
So, Z is equal to A - x - 5
Mr. Vazquez determines that the area of a bathroom in his house is 25 square feet less than 1/5 of the area of the living room. If the bathroom measures 35 square feet, what is the area of the living room? square feet=
Answers
Answer: 300 sq. ft
Step-by-step explanation:
1/5x - 25 = 35
1/5 x = 35+25
x = 60 * 5 = 300 sq. ft.
Answer:
300
Step-by-step explanation:
I did it on edge
Evaluate t-k, when t=5 and k=7
Answers
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
replace the variables with the given numbers
t(5)-k(7)
5-7
=-2
Steve connected a wire extension that is 3/8 foot long to another wire that is 1/2 foot long. How long is the wire with the extension?
Answers
Answer:
7/8 feet
Step-by-step explanation:
In order to add two frctions you need to make their denominator the same,
3/8 can be kept as it is and we can multiply the top and bottom of 1/2 by 4 in order to ger 4/8. Now it is easier to add together,
3/8 + 4/8= 7/8
A backpack that normally sells for $39 is on sale for $25. Find the
percent of change.
Answers
Answer: To find the discount, simply multiply the original selling price by the %discount:
ie: 39 x 33/100= $12.87
So, the discount is $12.87.
Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:
ie: 39- 12. 87= 26.13
So, the sale price is $26.13
a school librarian wanted to estimate the proportion of students in the school who had read a certain book. the librarian sampled 50 students from the senior english classes, and 35 of the students in the sample had read the book. have the conditions for creating a confidence interval for the population proportion been met? responses yes, because the sample was selected at random. yes, because the sample was selected at random. yes, because sampling distributions of proportions are modeled with the normal model. yes, because sampling distributions of proportions are modeled with the normal model. yes, because the sample is large enough to satisfy the normality conditions. yes, because the sample is large enough to satisfy the normality conditions. no, because the sample is not large enough to satisfy the normality conditions. no, because the sample is not large enough to satisfy the normality conditions. no, because the sample was not selected using a random method.
Answers
The normality assumption is valid.
The librarian can proceed to create a confidence interval for the population proportion of students in the school who have read the book.
The school librarian has a goal of estimating the proportion of students in the school who have read a particular book. The librarian sampled 50 students from the senior English classes, and out of those 50 students, 35 of them had read the book.
The question at hand is whether the conditions for creating a confidence interval for the population proportion have been satisfied.
Firstly, it is essential to establish that the sample was selected at random.
According to the question, this has been done.
It is a crucial condition because it helps to avoid bias in the sample.
If the sample had not been selected at random, there would be a risk of under- or over-representing certain groups, leading to an inaccurate estimation of the proportion of students who have read the book.
Secondly, sampling distributions of proportions are modeled with the normal model.
This condition has been met because the sample size (50 students) is greater than or equal to 30.
When the sample size is this large, the sampling distribution of proportions can be approximated to the normal distribution.
The normality assumption is valid when the sample size is large enough to satisfy the rule of thumb of np≥10 and nq≥10.
Thus, both conditions for creating a confidence interval for the population proportion have been met.
The sample was selected at random, and the sample size is greater than or equal to 30.
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Can someone tell me if this right or wrong
Answers
Answer:
Yes, it's right
Step-by-step explanation:
Los encargados de un parque plantean hacer una
inversión extraordinaria para eliminar los desechos
arrojados por los visitantes. El costo de esta labor,
expresado en millones de pesos, con p la cantidad
de residuos eliminados, es:
Clp) = _ 16p
110-p
a. Decide si esta función es creciente o decreciente.
b. Calcula cuánto costaría no eliminar ningún
residuo, eliminar solo el 50% de los residuos y
eliminarlos todos.
c. ¿Para qué puntos del dominio de C interesa en
la práctica estudiar esta función? ¿Qué valores
toma C en esa parte de su dominio?
d. Dibuja la gráfica de la función C.
e. Determina si la función tiene máximos o mínimos.
f. ¿Qué valor no puede tomar p? Explica tu respuesta.
g. Determina si la función tiene asíntotas e inter-
preta su significado en el contexto.
Answers
a. Para determinar si la función es creciente o decreciente, podemos examinar la primera derivada de Clp) con respecto a p.
Si la primera derivada es positiva, la función es creciente; si es negativa, la función es decreciente.
Calculamos la primera derivada de Clp):
\(\frac{d(Clp)}{dp}= 16 -\frac{110}{p}\)
Observamos que la derivada es negativa cuando p > 110/16, y positiva cuando p < 110/16.
Por lo tanto, la función Clp) es decreciente cuando p > 110/16 y creciente cuando p < 110/16.
b. Para calcular el costo de no eliminar ningún residuo, el costo sería Clp) cuando p = 0:
\(Cl0) = \frac{16(0)}{(110 - 0)} = 0\)
Para calcular el costo de eliminar el 50% de los residuos, el costo sería Clp) cuando p = 0.5:
\(Cl0.5) = \frac{16(0.5)}{(110 - 0.5)}= \frac{8}{109.5}\)
Para calcular el costo de eliminar todos los residuos, el costo sería Clp) cuando p = 110:
\(Cl110) = \frac{16(110)}{(110 - 110)} =\) undefined (no está definido porque habría una división por cero)
c. En la práctica, interesa estudiar esta función para valores de p que sean realistas y significativos para el problema.
En este caso, sería relevante estudiar la función para valores de p en el intervalo [0, 110], ya que p representa la cantidad de residuos eliminados y no puede ser negativo ni superar la cantidad total de residuos generados.
d. Para dibujar la gráfica de la función Clp), podemos asignar diferentes valores a p en el intervalo [0, 110] y calcular los correspondientes valores de Clp).
Luego, trazamos los puntos resultantes y los unimos para obtener la gráfica.
e. Para determinar si la función tiene máximos o mínimos, podemos examinar la segunda derivada de Clp) con respecto a p. Si la segunda derivada es positiva, la función tiene un mínimo; si es negativa, tiene un máximo; y si la segunda derivada es cero, no se puede determinar.
Calculamos la segunda derivada de Clp):
\(\frac{d^2Clp)}{dp^2} =\frac{110}{p^2}\)
La segunda derivada es siempre positiva, lo que significa que la función Clp) no tiene máximos ni mínimos.
f. El valor de p no puede ser negativo, ya que representa la cantidad de residuos eliminados, por lo que p ≥ 0.
g. La función Clp) no tiene asíntotas, ya que no hay valores a los que tienda indefinidamente a medida que p se acerca a infinito o menos infinito.
En este contexto, esto significa que no hay un límite en el costo a medida que la cantidad de residuos eliminados tiende a infinito o cero.
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What would be the 50th term than?
Answers
The 50th term is 290.
What is an arithmetic sequence?It is a sequence where there is a common difference between each consecutive term.
Example:
12, 14, 16, 18, 20 is an arithmetic sequence.
We have,
-4, 2, 8, 14,
This is an arithmetic sequence.
First term = a = - 4
Common difference.
d = 2 - (-4) = 6
d = 8 - 2 = 6
Now,
The nth term = a + (n -1)d
So,
n = 50
a = -4
d = 6
50th term.
= -4 + (50 - 1) 6
= - 4 + 49 x 6
= - 4 + 294
= 290
Thus,
The 50th term is 290.
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The complete question:
What is the 50th term of the sequence that begins −4, 2, 8, 14, ...?
Simplify the ratio-
2kg : 3kg : 1.5 kg
Answers
Answer:
1.33kg : 2kg : 1kg
Step-by-step explanation:
2kg : 3kg : 1.5 kg
Given data
We have the ratio
2kg : 3kg : 1.5 kg
Let us reduce the ratio further
2/1.5: 3/1.5 : 1.5/1.5
1.33kg : 2kg : 1kg
Hence the simplified ratio is 1.33kg : 2kg : 1kg
there are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue. you pick a box at random and randomly select a marble from it. the marble is blue. what is the strength factor of the evidence you just got that you picked the special box?
Answers
The strength factor of the evidence you just got that you picked the special box is 4.
Given:
There are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.
Hypothesis = The box the blue marble was picked from is the special box.
Prior confidence = 1:3 (ratio of special boxes to non special boxes )
Now P(B | S) = 1/2 (given that a box is selected from the special box, there is 1/2 chance that it is blue)
And P(B | NS) = 1/8 (given that a box is selected from a non-special box, there is 1/8 chance that it is blue)
According to bayes factor ,we get:
P(B | S)/P(B | NS) = (1/2)/(1/8) = 4
Thus, 4.
Therefore the strength factor of the evidence you just got that you picked the special box is 4.
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A jawbreaker candy machine has 25 red jawbreakers, 30 green jawbreakers, 15 yellow
jawbreakers, and 20 blue jawbreakers. If Loretta puts 1 coin in the machine and gets 1 jawbreaker,
what is the probability the jawbreaker is NOT green?
Help!
Answers
Answer:
are there answer choices? but here's my guess, because green is the highest most likely about 75 or 85 %
Step-by-step explanation:
Josiah plants vegetable seeds in rows. Each row has the same number of seeds in it. He plants more than one row of seeds. What could be the total number of seeds he plants?
Answers
The total number of seeds that Josiah would plant would be = nR×S
How to determine the total number of seeds that Josiah will plant?To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.
Let each row be represented as = nR
Where n represents the number of rows planted by him.
Let the seed be represented as = S
The total number of seeds he planted = nR×S
Therefore, the total number of seeds that was planted Josiah would be = nR×S.
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for what value of C does the equation have no solution 3x - 5 = 3x - c
Answers
Answer:
I think it is 0.
Step-by-step explanation:
Given: (x is number of items) Demand function: d(x) = 200 - 0.50 Supply function: 8(x) = 0.3x Find the equilibrium quantity: Find the producers surplus at the equilibrium quantity:
Answers
The equilibrium quantity is 250 items, but we cannot calculate the producer's surplus without additional information.
To find the equilibrium quantity, we need to set the demand function equal to the supply function and solve for x.
Demand function: d(x) = 200 - 0.50x
Supply function: 8(x) = 0.3x
Setting them equal, we have:
200 - 0.50x = 0.3x
Combining like terms, we get:
200 = 0.8x
Dividing both sides by 0.8, we find:
x = 250
Therefore, the equilibrium quantity is 250 items. At this quantity, the quantity demanded equals the quantity supplied, resulting in a balance between buyers and sellers in the market. To calculate the producer's surplus at the equilibrium quantity, we need to find the area between the supply curve and the market price. In this case, the market price is determined by the equilibrium quantity.
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Evaluate.
[2−∣∣−14−2(−35)∣∣]÷(−6)
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
GIVING 100
Answers
Answer:
The solution of the mathematical expressions will be 0.175.
Step-by-step explanation:
Given that;
The mathematical expressions are,
⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6
Now,
Solve the mathematical expression as;
⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6
Using the BODMAS rule to solve the expressions as;
⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6
⇒ [ 2 - | - 1/4 + 6/5 | ÷ -6
⇒ [ 2 - 19/20 ] ÷ -6
⇒ [ 21/20] ÷ -6
⇒ 21/20 x 1/-6
⇒ - 7 / 40
Therefore,
The solution of the mathematical expressions will be 0.175.
But you didn't have to cut me off
Make out like it never happened and that we were nothing (aah-ooh)
And I don't even need your love (ooh)
But you treat me like a stranger, and that feels so rough (aah)
No, you didn't have to stoop so low (ooh)
Have your friends collect your records and then change your number (aah)
I guess that I don't need that, though
Now you're just somebody that I used to know
Answer:
\(-\dfrac{7}{40}\)
Step-by-step explanation:
Given expression:
\(\left[2-\left|-\dfrac{1}{4}-2\left(-\dfrac{3}{5}\right)\right|\right] \div (-6)\)
Carry out the operations inside the absolute value bars (following the order of operations):
\(\implies \left[2-\left|-\dfrac{1}{4}+\dfrac{6}{5}\right|\right] \div (-6)\)
\(\implies \left[2-\left|\dfrac{19}{20}\right|\right] \div (-6)\)
As the fraction inside the absolute value bars is already positive, we can simply remove the bars:
\(\implies \left[2-\dfrac{19}{20}\right] \div (-6)\)
Rewrite 2 as 40/20 and carry out the subtraction inside the square brackets:
\(\implies \left[\dfrac{40}{20}-\dfrac{19}{20}\right] \div (-6)\)
\(\implies \left[\dfrac{40-19}{20}\right] \div (-6)\)
\(\implies \left[\dfrac{21}{20}\right] \div (-6)\)
Rewrite -6 as a fraction:
\(\implies \dfrac{21}{20} \div -\dfrac{6}{1}\)
When dividing fractions, multiply the first fraction by the reciprocal of the second fraction:
\(\implies \dfrac{21}{20} \times-\dfrac{1}{6}\)
\(\implies \dfrac{21 \times (-1)}{20 \times 6}\)
\(\implies -\dfrac{21}{120}\)
Reduce the fraction to its simplest form by dividing the numerator and denominator by the highest common factor, 3:
\(\implies -\dfrac{21 \div 3}{120 \div 3}\)
\(\implies -\dfrac{7}{40}\)
What is the value of the expression?Enter your answer as a simplified fraction](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/9c8IwJLniRvjkcIM3ctOxTSnKBoPtWZY.jpeg)
(Using algebra)
Find the measure of angle A
Please help!
Answers
Answer:
x is 80
Step-by-step explanation:
That is an isosceles triangle where two sides are equal also it has two equal angles where angle B is equal to angle C.
Betty wants to distribute a 115 ounce crock pot filled with soup
into as many 12.4 ounce containers as possible. How many
containers can Betty fill?
Answers
Answer:
9 containers
Step-by-step explanation:
115/12.4= 9.27
9 possible containers
A circle is formed using a ribbon which has a radius of 28 cm. If a square has to be formed using the same ribbon, determine the length of the side of the square formed using the ribbon.
Answers
The length of the side of the square is \(44 cm\).
What is a Circle?A circle is made up of all points in the same plane that are equidistant from one another. Only the bordering points make up the circle.The following are a few examples of circles in daily life: the bicycle's wheel. Dinner dish. Coin.A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also the location of points evenly spaced apart from the center. The radius of a circle is measured from the center to the edge.Determine the length of the side of the square:
Radius of circle\(=28.\)
Circumference\(=2\pi r\)
\(2\pi (28)=176\)
Side of the square\(=\frac{176}{4} =44cm.\)
The length of the side of the square is \(44 cm\).
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Select the correct answer from each drop-down menu.The function f is given by this table of values.х-10Use this table to complete the statements.The parent function of the function represented in the table isIf function fis vertically compressed by a factor of , the-values will beA point in the table for the transformed function is
Answers
As we can note the tables shows a linear behavior. Then, the parent function of the function represented in the table is linear.
If function f is vertically compressed by a factor of 1/4, the f(x) - values will be divided by 4.
Charlie has earned the following test scores so far this year:
35, 77, 83, 95
There is one test left in the year and Charlie wants to earn an average test score higher than 75% for the marking period. WRITE and SOLVE an
inequality to determine the needed score in order for Charlie to reach their goal.
Answers
Answer:
Charlie 77 35 83 95
Step-by-step explanation:
Type the missing number in this sequence:
4, 16, , 256, 1,024
Answers
Given:
The sequence is
4, 16, ___, 256, 1024
To find:
The missing number in the given sequence.
Solution:
We have,
4, 16, ___, 256, 1024
Here,
\(\dfrac{16}{4}=4\)
\(\dfrac{1024}{256}=4\)
The given sequence has common ratio 4. So, the given sequence is a geometric sequence.
To get the missing value, we need to multiply 16 and the common ratio.
\(16\times 4=64\)
Therefore, the missing value is 64.
30% of the tickets sold at a school carnival were early-admission tickets. If the school sold 100 tickets in all, how many early-admission tickets did it sell?
Answers
The number of early-admission tickets that it sells is 30.
How to calculate the number of early admission?From the information, 30% of the tickets sold at a school carnival were early-admission tickets and the school sold 100 tickets in all.
Therefore, the number of early admission will be:
= Percentage for early admission × Total number of tickets
= 30% × 100
= 0.3 × 100
= 30
Therefore, there are 30 early admission.
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2x + 3y = 12
2x - y = 4
Answers
Answer:
The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)
Step-by-step explanation:
help me slove this problem thank you
Answers
Answer:
\( \boxed{ \bold{ \boxed{ \sf{22 \: units}}}}\)Step-by-step explanation:
Let the points be A and B
A ( -8 , - 18 )⇒( x₁ , y₁ )
B ( 14 , -18 )⇒( x₂ , y₂)
Finding the distance between these two points
\( \sf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }\)
Plug the values
⇒\( \sf{ \sqrt{ {(14 - ( - 8)}^{2} + {( - 18 - ( - 18))}^{2} } }\)
We know that,\( \sf{( - ) \times ( - ) = ( + )}\)
⇒\( \sf{ \sqrt{ {(14 + 8)}^{2} + {( - 18 + 18)}^{2} } }\)
Calculate
⇒\( \sf{ \sqrt{ {22}^{2} + {0}^{2} } }\)
Evaluate the power
⇒\( \sf{ \sqrt{484} }\)
⇒\( \sf{{22} }\) units
Hope I helped !
Best regards!!