Answer:
tan90°=p/b
or,1/0=10/x
therefore x=0
which is the graph of g(x)
Answer:
The 1st graph is the answer and matches
-x/2 + 2 -2 ≤ x < 2 because it is equal to -2
The 4th graph is incorrect slightly at = 2x - 3 x ≥ 2
as the graph is descending and shows x = -1/2 as the gradient 4/-2 = -1/2
m = -1/2 would be the equation.
Therefore 2 (-1/2) = -1 and -1 - 3 = -4 and 4 is not greater than 2 so is wrong/.
Step-by-step explanation:
A positive real number is 1 more than another. When -2 times the smaller is added to the square of the larger, the result is 33. Find the numbers.
Answer:
The smaller number is 4√2 and the larger number is (4√2 + 1).
Step-by-step explanation:
Let the two numbers be x and y, where y is the larger of the two numbers.
Since y is the larger number, it is one more than the smaller number. So:
[tex]y=x+1[/tex]
When negative two times the smaller is added to the square of the larger, the result is 33. In other words:
[tex]-2x+y^2=33[/tex]
Substitute:
[tex]-2x+(x+1)^2=33[/tex]
Solve for x. Square:
[tex]-2x+(x^2+2x+1)=33[/tex]
Simplify:
[tex]x^2+1=33[/tex]
Subtract one from both sides:
[tex]x^2=32[/tex]
And take the square root of both sides:
[tex]x=\pm\sqrt{32}=\pm 4\sqrt{2}[/tex]
Since y is positive, we can ignore the negative case. So, the smaller number is:
[tex]x=4\sqrt{2}\approx5.66[/tex]
And the larger number is:
[tex]y = 4\sqrt{2} + 1 \approx6.66[/tex]
A card is drawn randomly from a standard 52 card deck. Find the probability of drawing the given card. NO LINKS!!!!
Answers:
Problem 7) 1/26Problem 8) 1/13Problem 9) 10/13Problem 10) 1/2Problem 11) 11/13Problem 12) 3/13===================================================
Explanations:
Problem 7)
There are 2 red aces (hearts, diamonds) out of 52 cards total, so 2/52 = 1/26 is the probability of picking a red ace.
---------------------------
Problem 8)
There are 4 kings out of 52 cards total, so 4/52 = 1/13 are the odds of picking a king.
This is the same as say focusing on one suit (eg: clubs) and finding the probability of pulling out a king.
---------------------------
Problem 9)
There are 3 face cards per suit (Jack, Queen, King) so 3*4 = 12 face cards in all. The odds of picking a face card are 12/52 = 3/13. That makes 10/13 the odds of not picking a face card, since 3/13+10/13 = 1.
---------------------------
Problem 10)
The answer is 1/2 because half of the cards are red.
You could say 26/52 = 1/2 since there are 26 red cards out of 52 cards total.
---------------------------
Problem 11)
There are 4 copies of '2' and 4 copies of '3', so there are 4+4 = 8 cards we want to avoid. The probability of picking either of them is 8/52 = 2/13. The odds of not picking any of these cards is 11/13 (refer to problem 9).
---------------------------
Problem 12)
We have 4 copies each of '7', '8' and '9'
That gives 4*3 = 12 cards total we want to pick.
So 12/52 = 3/13 is the answer.
Use logarithmic differentiation to differentiate the question below
[tex]y = x \sqrt[3]{1 + {x}^{2} } [/tex]
Answer:
[tex] \orange{ \bold{\frac{dy}{dx} =\frac{ 5{x}^{2} + 3 }{3\sqrt[3]{(1 + {x}^{2})^{2} } }}}[/tex]
Step-by-step explanation:
[tex]y = x \sqrt[3]{1 + {x}^{2} } \\ assuming \: log \: both \: sides \\log y = log(x \sqrt[3]{1 + {x}^{2} } ) \\ \therefore log y = logx + log(\sqrt[3]{1 + {x}^{2} } ) \\ \therefore log y = logx + \frac{1}{3} log({1 + {x}^{2} } ) \\ differentiating \: both \: sides \: w.r.t.x \\ \frac{1}{y} \frac{dy}{dx} = \frac{1}{x} + \frac{1}{3} . \frac{1}{(1 + {x}^{2}) } (0 + 2x) \\ \frac{1}{y} \frac{dy}{dx} = \frac{1}{x} + \frac{2x}{3(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3(1 + {x}^{2}) + 2 {x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3 + 3{x}^{2} + 2 {x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{1}{y} \frac{dy}{dx} =\frac{3 + 5{x}^{2} }{3x(1 + {x}^{2}) }\\ \frac{dy}{dx} =\frac{y(3 + 5{x}^{2} )}{3x(1 + {x}^{2}) } \\ \\ \frac{dy}{dx} =\frac{x \sqrt[3]{1 + {x}^{2} } (3 + 5{x}^{2} )}{3x(1 + {x}^{2}) }\\ \\ \frac{dy}{dx} =\frac{(3 + 5{x}^{2} )\sqrt[3]{1 + {x}^{2} } }{3(1 + {x}^{2}) }\\ \\ \purple{ \bold{\frac{dy}{dx} =\frac{ 5{x}^{2} + 3 }{3\sqrt[3]{(1 + {x}^{2})^{2} } }}}[/tex]
Use the method of least squares to solve the following problem.
Given the data set below, find the line of best fit? Then find the y-value for when x=7. Yes, there are supposed to be
two 6's.
Х
1
2
4
5
6
6
8
9
Y
14
10
12
8
9
6
3
4
Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Radius 7 and center (2, −4)
Let's start by writing the equation of a circle.
(x - h)² + (y - k)² = r²The center of the circle is (h, k), and the radius, r, is 4 so
we can simply plug these values into the formula.
So we have [(x) - (2)]² + [(y) - (-4)]² = (7)².
Notice that I changed the parenthses that were in the original formula
to brackets so that we wouldn't have too many sets of parenthses
when plugging our values into the formula.
Finally, we simplify inside the brackets.
So we have (x - 2)² + (y + 4)² = 49.
Now, I changed the brackets back to parenthses in the final answer.
Mariana baked 14 cakes. She gave 1/7 of them to her family before she took the rest to a party. How many cakes did Mariana give to her family?
Answer:
2
Step-by-step explanation:
14·[tex]\frac{1}{7}[/tex]=2
Answer:
2
Step-by-step explanation: 1/7th's of 14 is 2.
1/7 x 14 = 2.
Please help me!!! WILL MARK BRAINLIEST AND THANK
Answer:
2 is the same as 4
Step-by-step explanation:
This one says (cos) , help it’s timed ! Take me through the process !
Answer:
4/5 is ur answer
Step-by-step explanation:
ok just like the last one but this one is COS
ok so we know that COS is A/H
A= adjacent and ofc H= hypotenuse
so lets see its the COS of a which means it will be A/H
A= 4 and the H=5
Find the surface area of the regular pyramid.
Answer:
B
Step-by-step explanation:
Base area = side^2 = 3^2 = 9 m^2
Base perimeter = side x 4 = 3 x 4 = 12 m
LA = (base perimeter x slant height)/2 = (12 x 5)/2 = 30 m
SA = base area + LA = 9 + 30 = 39 m^2
Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.
Answer:
ASA
Step-by-step explanation:
The two small angles which are the base angles of the small triangle in the middle are marked as equal.
The two large angles of the two triangles are also marked as conguent.
The base of the small triangle in the middle is common to both the larger triangles by the reflexive property (a line is always equal to itself). The line is between two sets of congruent angles. Therefore the two large triangles are congruent by ASA
Explanation:
It might help to peel the triangles apart as I have done so below.
We have two pairs of congruent angles, as shown by the distinct angle markers. Between the congruent angles, we have a pair of congruent sides.
The side (S) is between the angles (A), which is why we use ASA.
Note: SAA is slightly different where the congruent sides are not between the congruent angles.
A rectangular prism has a base area of 2 square feet and a height of 5 feet. What
is the volume of the prism in cubic feet?
10
15
12
11
Submit
Only answer if you're very good at Math.
What is the sum of 7x/x^2 - 4 and 2/x + 2?
A: 7x + 2/x^2 - 4
B: 9x - 4/x^2 - 4
C: 7x + 2/ x^2 + x - 2
D: 9/x
Answer:
Solution given:
B: 9x - 4/x^2 - 4
Step-by-step explanation:
.k
What is the value........
Answer:
[tex]a_5 = 120[/tex]
Step-by-step explanation:
Given
[tex]a_1 = 1[/tex]
[tex]a_n = n(a_{n-1})[/tex]
Required
[tex]a_5[/tex]
This is calculated as:
[tex]a_5 = 5(a_{5-1})[/tex]
[tex]a_5 = 5*a_4[/tex]
Calculate [tex]a_4[/tex]
[tex]a_4 =4(a_{4-1})[/tex]
[tex]a_4 =4*a_3[/tex]
Calculate [tex]a_3[/tex]
[tex]a_3 =3*a_2[/tex]
Calculate [tex]a_2[/tex]
[tex]a_2 = 2 * a_1[/tex]
[tex]a_2 = 2 * 1[/tex]
[tex]a_2 = 2[/tex]
So:
[tex]a_3 =3*a_2[/tex]
[tex]a_3 = 3 * 2 = 6[/tex]
So:
[tex]a_4 =4*a_3[/tex]
[tex]a_4 = 4 * 6 =24[/tex]
Lastly;
[tex]a_5 = 5*a_4[/tex]
[tex]a_5 = 5 * 24[/tex]
[tex]a_5 = 120[/tex]
Teresa is playing a video game. She earns 10 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.
How many points will Teresa earn when she completes Level 7?
Enter your answer in the box.
Answer: 7290
Step-by-step explanation:
Three times is asking you to multiply the points before them by three. Level one, as we know is 10. Then, to get level two's points, you would multiply 10 by 3, to get 30, & so on.
Level One:10
Level Two: 10x3=30
Level Three: 30x3=90
Level Four: 90x3=270
Level Five: 270x3=810
Level Six: 810x3=2430
Level Seven: 2430x3= 7290
*** If you are still confused, comment on this question, & I will be happy to walk you through the whole question. ***
Answer:
7290 :)
Step-by-step explanation:
Took the quiz.
find the area of the following figure.
Evaluate the following expression. "12 more than 5"
Answer:
17
Step-by-step explanation:
12+5
why is the growth factor 0.9?
Answer:
Actual growth of population - Birth - Death + In migration - Out Migration. ...
PLEASE HELP! WILL MARK BRAINLIEST!
Answer:
at first put the value of X
after that do the equation.
Step-by-step explanation:
hope it will help you
Answer:
a = 2
Step-by-step explanation:
substitute x with the number 5.
5+8a=25+5a-7a
subtract 5a from both sides
5+3a=25-7a
add 7a to both sides
5+10a = 25
subtract 5 from both sides
10a=20
divide both sides by 10
a = 2
HELP ME PLEASEEEEEEEEEEEE
Answer:
x=in5
Step-by-step explanation:
Sand is being dumped from a conveyor belt and forms a conical pile. Assuming that the height of this cone is always exactly 3 times the size of the radius of its base, and that thesand is added at the rate of 10 m^3/min, how fast is the height increasing when the pile is15 m high?
Answer:
dh/dt = 0.4 m/min
Step-by-step explanation:
The volume of the cone is:
V(c) = (1/3)*r² *h if always h = 3r then r = h/3
The volume of the cone as a function of h will be:
V(h) = (1/3)* (h/3)²*h
V(h) = (1/27)*h³
The increasing rate of the volume is equal to the rate of sand added the:
D(V)/dt = (1/27)*3*h²*dh/dt
D(v) / dt = 10 m³/min
h = 15 m and dh/dt is the rate of increasing of the height
By substitution
10 m³/min = ( 1/9)* 225 * dh/dt (m²)
dh/dt = 90 / 225 m/min
dh/dt = 0.4 m/min
Answer for brainlest plssss
Answer:
[tex] \displaystyle d) 36 \: {in}^{2} [/tex]
Step-by-step explanation:
the polygon can be separated in two parts
rectangletrianglelet's figure out the area of the rectangle
recall that,
[tex] \displaystyle A_{ \rm rect} =l \times w[/tex]given that,
l=9w=3thus substitute:
[tex] \displaystyle A_{ \rm rect} =9\times 3[/tex]simplify multiplication:
[tex] \displaystyle A_{ \rm rect} =27[/tex]let's figure out the area of the triangle
remember that,
[tex] \displaystyle A_{ \rm triangle} = \frac{1}{2} \times b\times h[/tex]
substitute the value of b and h:
[tex] \displaystyle A_{ \rm triangle} = \frac{1}{2} \times 9\times 2[/tex]
reduce fraction:
[tex] \displaystyle A_{ \rm triangle} = 9[/tex]
now the area of the polygon would be the total area of the rectangle and triangle thus
[tex] \displaystyle A_{ \rm polygon} = 27 + 9[/tex]
simplify addition:
[tex] \displaystyle A_{ \rm polygon} = 36[/tex]
hence our answer is D)
The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard
deviation of $2 million. A baseball analyst randomly selects 40 athletes and records the mean salary. What is the shape
of the distribution of the sample mean for all possible random samples of size 40 from this population?
skewed left
skewed right
approximately Normal
approximately uniform
Answer:
approximately Normal with a mean of 3.2 million and a standard deviation of 0.32 million
Step-by-step explanation:
For normal distribution conditions
1) Sample size is greater than 30
2) Population standard deviation is known
3) population is normal distributed
Above any condition given problem if satisfied than it's distribution will approximately normal.
n = 40 > 30
Sample size(n) greater than 30 and population standard deviation is known.
So the distribution will approximately be normal
Hope this helps!
The shape of the distribution of the sample mean for all possible random samples of size 40 from this population is approximately Normal
The following any or all conditions should be there for normal distribution:
The Sample size is more than 30 .Population standard deviation is known .The Population is normal distributed
Now
n = 40 > 30
Here
Sample size(n) more than 30 and population standard deviation is known.
Learn more: brainly.com/question/17429689
I need help please asp !!!!
It costs Beverly $0.50 to produce each bracelet she makes. She sells each bracelet for $20, plus three times the production cost per bracelet. Which equation below shows the amount Beverly charges, C, per bracelet, b?
Answer:
(0.5b+20b)*3b=c
Step-by-step explanation:
The requried equation that shows the amount Beverly charges per bracelet is C = 21.5b
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
The amount Beverly charges, C, per bracelet, b, is given by:
C = 20 + 3(0.5)
C = 20 + 1.5
C = 21.5
So the equation that shows the amount Beverly charges per bracelet is:
C = 21.5b
Learn more about models here:
https://brainly.com/question/22591166
#SPJ3
gold that is 24 karat is 100% pure gold. gold that is 14 karat is 14 parts pure gold and 10 parts another metal, such as copper,zinc,silver, or nickel. What percent of 14 karat gold if pure gold.
help im confused
In science class sara needed 8 test tubes for 3 different experiments. The first experiment required 2 test tubes and the other two experiments required the same number of test tubes. How many test tubes were needed for each of the the other two experiments
Answer:
as we know Sara need 8 tube in 3 experiment
she will use 2 tube in 1 experiment
now she have 6 tube in other experiments
so the question said to find how many tube were used in both experiment equally so 3,3 test tube were needed for each of the other two experiment
Step-by-step explanation:
total tube=8 (3 experiment)
used =2tube (1 experiment)
remaining=8-2=6
now ,
dividing 6 into 2 equal part
so,=6/2=3
so 3 tube were used in 2nd experiment and 3in 3rd experiment
Write an equation for a line perpendicular to y=3x+1 and passing through the point (6,2)
Answer:
[tex]y = -\frac{1}{3}x + 4[/tex]
Step-by-step explanation:
Required
Equation of line
passes through [tex](6,2)[/tex]
In an equation of the form [tex]y =mx + b[/tex]; the slope is [tex]m[/tex]
So, by comparison;
The slope of [tex]y = 3x + 1[/tex] is: [tex]m =3[/tex]
From the question, we understand that the required equation is perpendicular to [tex]y = 3x + 1[/tex]
This means that its slope is:
[tex]m_2 =-\frac{1}{m}[/tex]
So, we have:
[tex]m_2 =-\frac{1}{3}[/tex]
The line equation is:
[tex]y = m_2(x - x_1) + y_1[/tex]
Where:
[tex](x_1,y_1) = (6,2)[/tex]
So, we have:
[tex]y = -\frac{1}{3}(x - 6) + 2[/tex]
[tex]y = -\frac{1}{3}x + 2 + 2[/tex]
[tex]y = -\frac{1}{3}x + 4[/tex]
The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring.
What is the constant of the quadratic expression in this equation?
x2 + x +
= 0
Answer:
-420
Step-by-step explanation:
let the two consecutive integers be
x and (x + 1)
The product of two consecutive integers is 420
x(x + 1) = 420
Distribute
x² + x = 420
Subtract 420 from both sides
x² + x - 420 = 0
The constant is
-420
If y varies directly as x and y = 24 when x = -3, find the constant of variation k
and then determine y when x = 12.
Answer:
I. k = -8
II. y = -96
Step-by-step explanation:
Given the mathematical expression and data;
y = 24
x = -3
y = kx (y varies directly as x).
To find the constant of proportionality k;
y = kx
Substituting the values into the expression, we have;
24 = k(-3)
24 = -3k
k = -24/3
k = -8
Next, to find the value of y when x = 12
y = kx
Substituting the values, we have;
y = -8 * 12
y = -96