Answer:
to the right of x = 2 the function is increasing
{ x | x > 2}
Step-by-step explanation:
Recall that this is a quadratic function, and therefore responds to the shape of a parabola. In this case is also a parabola with branches opening up since the coefficient of the square term is positive. So, we just need to find where the vertex is located, and we know that to the left of the x-value of the vertex the function is decreasing, and to the right of it the function is increasing.
The formula for the x of the vertex of a parabola of the form:
[tex]y=ax^2+bx+c[/tex]
is [tex]x_{vertex}=\frac{-b}{2\,a}[/tex]
which in our case gives:
[tex]x_{vertex}=\frac{-b}{2\,a} =\frac{4}{2} =2[/tex]
Therefore, to the left of x = 2 the function decreases , and to the right of x = 2 the function is increasing.
maths:Mr John thinks of a number he double it he' result is 58 what is Mr John number
Answer:
29
Step-by-step explanation:
if you do 58 divided by 2 you get 29 so Mr. John doubles 29.
It is known that the population variance is 144. At 95% confidence, what sample size?a. 22.b. 23.c. 24.d. 25.e. none of the above.
Answer:
(E) None of the above
Step-by-step explanation:
The statistic provided is that of the population but the statistic you seek is that of the sample.
Looking at the statistic itself, Variance is the square of Standard Deviation or standard deviation is the square root of variance.
Hence you calculate the standard deviation of the population mean:
√144 = 12
The population standard deviation of/from the mean value is 12.
It could be possible to decipher the sample mean from population mean but not sample size.
So, you can't pick just any answer. Population size should be given first.
image Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle? Question 19 options: A) A cross section cut parallel with the bottom B) Cutting off one of the bottom corners C) A cut parallel to the vertical axis, directly through the vertical axis D) A cut parallel to the vertical axis, but off the vertical axis
Answer:
C) A cut parallel to the vertical axis, directly through the vertical axis
Step-by-step explanation:
If you were to cut this figure in half vertically, the view from the front would be a triangle.
To produce a triangle square pyramid should be cut parallel to the vertical axis, but of the vertical axis option (D) A cut parallel to the vertical axis, but off the vertical axis is correct.
What is a square pyramid?In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.
As we know, geometry can be defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
We have a square pyramid shown in the picture.
We must cut along to the vertical axis but off the vertical axis in order to create a triangle from the square pyramid.
Thus, to produce a triangle square pyramid should be cut parallel to the vertical axis, but of the vertical axis option (D) A cut parallel to the vertical axis, but off the vertical axis is correct.
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A diver descended at a rate of 18 feet per second. What was her depth after one minute?
Answer:
1,080 ft
Step-by-step explanation:
Rate of descending or travel (r) = 18 ft per second.
The depth or distance traveled/descended (d) after 1 minute can be calculated as follows:
[tex] d = r*t [/tex]
r = 18ft/sec
t = 1 min = 60 secs
[tex] d = \frac{18 ft}{1 sec}*60secs [/tex]
[tex] d = 18ft*60 [/tex]
[tex] d = 1,080 ft [/tex]
THANKS! I BEG U PLEASE HELP ME!!!!!!!!!
What is the value of x? 11-5(x+7)=21
You have 17 pennies, 31 nickels, 22 dimes, and 14 quarters. How much money will you have if you lend $6.50 to a friend?
Answer: 92 cents
Step-by-step explanation:
11) Which situation can be represented by 17.35x > 624.60?
F A waitress had received a $17.35 tip. This brought her total in tips to more than $624.60.
How much money in tips did she have before the $17.35 tip?
G Brianda made a deposit of $17.35 into a savings account. This brought the total in her
savings account to $624.60. How much money did she have in this savings account before
she made the deposit?
H A dozen tamales cost $17.35 including tax. How many dozen tamales can a customer buy
with $624.60?
J Darren earns $17.35 per hour at his job. How many hours does he need to work in order
to earn more than $624.60?
Answer:
J Darren earns $17.35 per hour at his job. How many hours does he need to work in order to earn more than $624.60?
Step-by-step explanation:
You're looking for a situation in which the number 17.35 needs to be multiplied by an unknown quantity.
Scenarios F and G involve addition of 17.35 to something.
Scenario H would correspond to the inequality ...
17.65x < 624.60
The sign of the given inequality is >, so scenario H is not the one.
__
In scenario J, Darren's total earnings for x hours will be 17.35x, and we want to find x such that this total is greater than 624.60. This matches the given inequality:
17.35x > 624.60 . . . . . . answer choice J
Si yo tengo una canasta llena de mangos y piñas, de las cuales hay 30
mangos y 20 piñas ¿Qué fruta es más probable que saque al azar de la
canasta?
Respuesta: Es más probable sacar un mango.
Explicación:
La probabilidad se refiere a la posibilidad de que un evento occura y no otro. En el caso que se describe, la probabilidad de sacar cada fruta puede ser calculada dividiendo el total de cada fruta en el número de frutas totales:
Probabilidad de sacar un mango:
[tex]\frac{cantidad de mangos}{cantidad de frutas en la canasta}[/tex] = [tex]\frac{30}{50}[/tex] =[tex]0.6[/tex]
Probabilidad de sacar una piña:
[tex]\frac{cantidad de pinas}{cantidad de frutas en la canasta} = \frac{20}{50}[/tex] [tex]= 0.4[/tex]
De acuerdo a lo anterior la probabilidad de sacar un mango es de 0.6 o de 60% (multiplica la probabilidad por 100 para saber su equivalente en porcentaje), mientras que la probabilidad de sacar un mango es de 0.4 o 40% lo cual es mucho más bajo. Es decir que es más probable sacar un mango.
Solve the following triangle completely.
(a). in triangle ABC, B = 25.6° C = 124.4° C= 39.2m
(b) B = 101.15°, b= 17.23cm and C= 10.86cm.
Answer:
The answers is below in bold.
Step-by-step explanation:
(a) A = 180 - 25.6 - 124.4 = 30 degrees.
Next use the Sine Rule:
b / sin B = c / sin C
b / sin 25.6 = 39.2/sin 124.4
b = (39.2 * sin 25.6) / sin 124.4
b = 20.53 m.
Also
a / sin A = c / sin C
a / sin 30 = 39.2 / sin 124.4
a = (39.2 * sin 30 / sin 124.4
a = 23.75 m.
b). This is solved in a similar way to (a).
First find angle C using the sine rule.
Then you will know angle A from the 180 degree Rule.
Then you can find the length of a using the Sine Rule.
I will Mark you as brainliest if you explain
Answer:
x=0 or x=−4
Step-by-step explanation:
Let's solve your equation step-by-step.
(x+2)2=4
Step 1: Simplify both sides of the equation.
x2+4x+4=4
Step 2: Subtract 4 from both sides.
x2+4x+4−4=4−4
x2+4x=0
Step 3: Factor left side of equation.
x(x+4)=0
Step 4: Set factors equal to 0.
x=0 or x+4=0
x=0 or x=−4
Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x,y,z) so that ∫uyly∫uzlz∫uxlxdxdzdy represents the volume of the region in the first octant that is inside the paraboloid y=x2+9z2 and between the planes y=5 and y=10.
Answer:
Hello your question is incomplete attached below is the complete question
Ix = 0 Ux = [tex]\sqrt{y-9z^2}[/tex]
Iz = 0 Uz = [tex]\frac{\sqrt{y} }{3}[/tex]
Iy = 5 Uy = 10
Step-by-step explanation:
Ix = 0 Ux = [tex]\sqrt{y-9z^2}[/tex]
Iz = 0 Uz = [tex]\frac{\sqrt{y} }{3}[/tex]
Iy = 5 Uy = 10
attached below is the detailed solution
I need help ASAP!!!!!
Answer:
1. -24
2. 8
3.-12
4.-24
5.-20
6. -12
7. -30
8. 2
9. 16
10. 132
11. -35
12. -54
chef johnson used 4/12 cups of flour to make 4 fruitcakes . how many cups of flour are needed for 1 fruitcake
Answer:
1/12
Step-by-step explanation:
4 fruitcakes=4/12 cups of flour
I fruitcake =x cups of flour
4x=4/12
48x=4
x=4/48
x=1/12
HELP ASAP ROCKY!!! will get branliest.
Answer:
x = -7
Step-by-step explanation:
4 ( 2x+14) =0
Divide by 4
2x+14 = 0
Subtract 14 from each side
2x = -14
Divide by 2
2x/2 = -14/2
x = -7
Answer:
x = -7
Step-by-step explanation:
Apply the distributed property by multiplying 2x by 4 and 14 by 4, and then adding them together, so it now looks like this: 8x + 56 = 0Subtract 56 from each side of the equation, so it now looks like this: 8x = -56Divide each side by 8 to cancel out the 8 next to x. It should now look like this: x = -7Therefore, x is equals -7.
Rodrigo placed 3 large stickers on each of 5 pages in his sticker book. Then he placed 6 small stickers on each of the 5 pages the expression 5×3+5×6 shows the total number of stickers he used. Use the distributive property to write this expression anther way
Answer:
5(x+x)=2(3)+3
Step-by-step explanation:
The expression in other way can be written as 5* (3 larger + 6 small stickers)
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)
for example:
An example of a mathematical expression with a variable is 2x + 3. All variables must have a coefficient, a number that is multiplied by the variable. In the expression 2x + 3, the coefficient of x is the number 2, and it means 2 times x plus 3
Given:
Rodrigo placed 3 large stickers on each of 5 pages in his sticker book. Then he placed 6 small stickers on each of the 5 pages,
5 * 3 + 5 * 6
Using distributive property,
a* b + a* c = a* ( b + c)
So,
5* ( 3+ 6)
= 5* 9
=45
also, the another way is
As the pages in both case is 5.
So, 5* (3 larger + 6 small stickers)
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Y varies directly with x. If x=150 and y=10 find y when x=60
Answer:
Step-by-step explanation:
x=150/10
=15
x=60
then y=60*1/15
=4
1. A number : minus 6 is greater than or
equal to 11.
please help me it’d be truly appreciated luvs !
Step-by-step explanation:
5x - 2xy + 4y - 3y + 2x - z + 3xy
7x + xy + y - z
O
A store had received a supply of 8
dozen calculators and sold them for
$9.99 each. if the store sold all but 2
dozen of the calculators, approximately how
much money did it make?
Answer:
1 dozen = 12 calculators
8 dozen = 12 * 8 = 96 calculators
2 dozen = 12 * 2 = 24 calculators
96 - 24 = 72 calculators
*each was sold for $9.99 so:
72 * $9.99 = $719.28 which rounds to $719
hope this is correct.
The line graph shows the average number of awakenings during the night for men and women of different ages. Use the graph to estimate the difference between the average number of awakenings during the night between 45 -year-old men and 45 -year-old women.
Following are the calculation to the given equation:
The average number of awakenings during the night among 45-year-old men is 5.18 (approx) in the given graph.The average number of awakenings during the night among 45-year-old women is 3 (from the given graph).The distinction between the average numeral of awakening during the night between 45-year old (men and women) is [tex]\to 5.18 -3.00=2.18[/tex]Learn more:
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If f(x) = 3x and g(x) = 1/3x, which expression could be used to verify that g(x) is the inverse of F(x)?
Greetings from Brasil...
Given the function:
F(X) = 3X
We know that F(X) = Y, so rewriting the function:
Y = 3XLet's check what is the inverse function of F(X). Just change the X for the Y and vice versa
Y = 3X
X = 3Y isolating Y
Y = X/3
So the inverse of function F(X) is
F⁻¹(X) = G(X) = X/3What number is halfway between 0 and negative 20
Describe the difference between the 6 in the 45,369 and the 6 in 67,420. Write two different statements.
They are different values. The 6 in 45,369 is in the tens place while the 6 in 67,420 is in the ten thousand place.
Find the range of the given data set.
-4, -3, -1, -1, 0, 1
-5
-3
3
5
Answer:
5
Step-by-step explanation:
Range is calculated by Taking the highest value number (1) and the lowest number(-4) and subtracting both the numbers.
Answer:
Step-by-step explanation:
As we know that
range= largest -smallest value
So
-4=smallest value
-1=largest value
-4-1=-5
1. For the following scores, find the (a) mean (b) median (c) sum of squared deviations (d) variance (e) standard deviation 2, 2, 0, 5, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 0
Answer:
a)to find mean
(sum the scores, divide by the number of scores) that is
( 2+ 2 + 0 + 5 +1 +, 4,+ 1, + 3, + 0,+ 0+ , 1, +4, + 4, + 0,+ 1, + 4, +3,+ 4, + 2,+ 1, +0)/21
= 42/21
= 2
b)
median means order the scores numerically then you choose the score in the middle and that is 2
c)sum of squared deviations is done by take difference between each score and the mean, square the result That is
Summation (xbar - x)²
add the final answer is 56
d)variance is gotten by taking sum of squared deviations, divide by (n-1))=
Summation (xbar - x)²/n-1
=2.8
e)standard deviation is square root of variance)= √V = 1.6
If DF =9x-39, find EF
Answer:
EF = 58
Step-by-step explanation:
From the question given, we obtained the following information:
DF = 9x – 39
DE = 47
EF = 3x + 10
EF =?
We'll begin by calculating the value of x.
This can be obtained as follow:
DF = DE + EF
DF = 9x – 39
DE = 47
EF = 3x + 10
DF = DE + EF
9x – 39 = 47 + 3x + 10
9x – 39 = 47 + 10 + 3x
9x – 39 = 57 + 3x
Collect like terms
9x – 3x = 57 + 39
6x = 96
Divide both side by 6
x = 96/6
x = 16
Finally, we shall determine the value of EF as follow:
EF =?
x = 16
EF = 3x + 10
EF = 3(16) + 10
EF = 48 + 10
EF = 58
QUESTION 1
Employees in 2018 paid 5.2% of their gross wages toward social security while employers paid another
7.3% How much will a person's employer pay towards social security if an employee makes $50,000 in
the year.
Answer:
$2600
Step-by-step explanation:
Given that:
the employee earns $50,000 in a year
The amount of money on wages paid by the employee towards social security = 5.2% of their gross wage
= [tex]\dfrac{ 5.2 \times 50000}{100}[/tex]
= $2600
if an employee makes $50,000 in the year, he will pay $2600 towards social security.
The other employees that paid 7.3% of their gross wages will not be regarded since they're paying it from their own fund.
Write the mixed number as a decimal. 1 5/8
Answer:
1.625
Step-by-step explanation:
The decimal of 5/8 is 0.625.
We can then add 1 to it, since it is a whole number
Therefore, we have 1 + 0.625 = 1.625
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{1.625}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{1 \frac{5}{8} }[/tex]
Convert the mixed number to an improper fraction
⇒[tex] \sf{ \frac{8\times 1 + 5}{8} }[/tex]
⇒[tex] \sf{ \frac{8 + 5}{8} }[/tex]
⇒[tex] \sf{ \frac{13}{8} }[/tex]
Divide 13 by 8
⇒[tex] \sf{1.625}[/tex]
Hope I helped!
Best regards! :D
Determine whether this is valid or invalid argument
Answer:valid
Step-by-step explanation: