D is incorrect because two vertically opposite angles HAVE to be equal there for D is false.
Mark bought a fishing rod with an original price of $125.99. He has a 20% coupon that he plans to use. What will his discount amount be? Round your answer to the nearest cent (hundredths place) and include the $ sign How much will Mark pay for the fishing rod after the discount? Round your answer to the nearest cent (hundredths place) and include the $ sign
Answer:
$25.2
Step-by-step explanation:
Because 20% of $125.99 is 25.198 and if you round that number to the nearest cent you get 25.2.
Have a fantastic day!!!!!!!!!!!!!!
if sin(x)=2/5 and tan(x)>0 what is sin(2x)
Answer:
B
Step-by-step explanation:
correct on edge
The answer is, sin (2x)=4√21/25
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Here, given that,
sin(x)=2/5
and tan(x)>0
Then, cos(x)=√21/25
tan(x)=2/√21
Now, sin (2x)=2tan(x)/1+tan²(x)
=0.873/1.19
=0.733
=4√21/25
To learn more trigonometry click:
https://brainly.com/question/26719838
#SPJ2
3. Use the given information about the polynomial graph to write out the equation.
Degree 5, Roots of multiplicity 2 at x = 3 and x = -2 and a root of multiplicity 1 at x = 4,
y-intercept at (0,12).
Answer:
[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]
Step-by-step explanation:
The standard form for a polynomial equation in its factored form is:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where p and q are the zeros and a is the leading coefficient.
We know that the degree of the polynomial is 5.
We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).
These have a multiplicity of two, so we will square them.
We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.
Therefore, our polynomial is now:
[tex]f(x)=a(x-3)^2(x+2)^2(x-4)[/tex]
We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:
[tex]12=a(0-3)^2(0+2)^2(0-4)[/tex]
Evaluate:
[tex]12=a(9)(4)(-4)[/tex]
Evaluate:
[tex]-144a=12[/tex]
Divide both sides by -144:
[tex]a=-1/12[/tex]
Hence, our entire polynomial is:
[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]
Find the length of segment QA when Q(-7,10) and A(3,4).
Answer:
The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units
Step-by-step explanation:
Given points are:
Q(-7,10) and A(3,4)
Here
[tex](x_1,y_1) = (-7,10)\\(x_2,y_2) =(3,4)[/tex]
The distance between two points is the length of the segment formed by those two points. The distance between 2 points is given by:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Putting the values
[tex]d = \sqrt{(3-(-7))^2+(4-10)^2}\\d = \sqrt{(3+7)^2+(-6)^2}\\d = \sqrt{(10)^2+(-6)^2}\\d = \sqrt{100+36}\\d = \sqrt{136}\\d= 11.66\ units[/tex]
Hence,
The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units
235 people are at a summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp?
Answer:
125 boys, 90 girls and 20 adults
Step-by-step explanation:
Let the number of boys be x
Let the number of girls be y
Let the number of adults be z
If there are 235 people at the summer camp, then;
x + y+ z = 235 ..... 1
If there are 35 more boys than girls, then;
x = y + 35 .... 2
If there are 70 fewer adults than girls then;
y = z - 70
z = y - 70....3
Substitute 2 and 3 into 1;
x + y+ z = 235 ..
(y+35)+y+(y-70) =235
3y -35 = 235
3y = 270
3y/3 = 270/3
y = 90
Since x = y + 35
x = 90 + 35
x = 125
Also z = y - 70
z = 90+70
z = 20
There are 125 boys, 90 girls and 20 adults
Answer:
There are 90 girls, 125 boys, and 20 adults.
Step-by-step explanation:
Let x be the number of girls. How many boys were there?
x + 35
How many adults were there?
x - 70
We know that 235 people are at RSM summer camp. Use this to make an equation.
x + (x + 35) + (x - 70) = 235
x + x + 35 + x - 70 = 235
3x - 35 = 235
3x - 35 + 35 = 235 + 35
3x = 270
3x ÷ 3 = 270 ÷ 3
x = 90
x, x + 35, x - 70
90, 125, 20
what is the coefficient in the expression 10x +8?
Answer: It is 10
Step-by-step explanation:
What is the volume of the following rectangular prism?
Answer:
we kinda need to see the prism
Answer:
what is the prisim
Step-by-step explanation:
In a repeating musical pattern there are 64 beats in 8 measures. How many measures are there after 96 beats? Find the unit rate.
Answer:
12 measures
Step-by-step explanation:
Step 1:
64 : 8 Ratio
Step 2:
64 : 8 = 96 : x Equation
Step 3:
64x = 768 Multiply
Step 4:
x = 768 ÷ 64 Divide
Answer:
x = 12
Hope This Helps :)
PLEASE ANSWER ASAP
Whoever answers FIRST gets BRAINLIEST
Thank you and Happy Thanksgiving
Answer:
1,087.59014, 23.7, 0.6868
Step-by-step explanation:
Any decimal that ends.
The perimeter of the shape is 25.71 cm
Calculate the value of the radius
Take π to be 3.142
Answer:
The radius of the circle is: 4.09 cm
Step-by-step explanation:
Assuming the shape to be a circle.
The perimeter of a circle is called circumference and is given by the formula.
[tex]C = 2\pi r[/tex]
For the time being, we know
[tex]\pi = 3.142\\C = 25.71cm[/tex]
Putting the values in the formula we get: as x is the radius
[tex]25.71 = 2 * 3.142 * x\\25.71 = 6.284x\\x = \frac{25.71}{6.284}\\x = 4.09\ cm[/tex]
Hence,
The radius of the circle is: 4.09 cm
The weights of ice cream cartons are normally distributed with a mean weight of 13 ounces and a standard deviation of 0.5 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 13.14 ounces? (b) A sample of 36 cartons is randomly selected. What is the probability that their mean weight is greater than 13.14 ounces?
Answer:
The weights of ice cream cartons produced by a manufacturer are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.5 oun
Select the correct answer from each drop-down menu.
Consider these functions:
For x ≥ 0, the value of f(g(x)) is __
For x ≥ 0, the value of g(f(x)) is __
For x ≥ 0, functions f and g __ inverse functions.
Choices:
1. x,4x,8x
2. x,4x,8x
3. are, are not
Answer:
x
x
are
Step-by-step explanation:
For x ≥ 0, the value of f(g(x)) is x,For x ≥ 0, the value of g(f(x)) will be x and functions f and g are inverse functions.Option a from all the choices is corect.
What is a function?A connection between independent variables and the dependent variable.is defined by the function.
Functions help to represent graphs and equations. A function is represented by two variables one is dependent and another one is an independent function.
The relation between them is shown as y if dependent and x is the independent variable;
Given function;
f(x) = 16x²
g(x)=(1/4)√x
For x ≥ 0, the value of f(g(x)) is found as;
f(x) = 16x²
[tex]\rm f(g(x)) = 16 (\frac{1}{4} \sqrt x) ^2\\\\ f(g(x)) =\frac{16}{16} x\\\\ f(g(x)) = x[/tex]
For x ≥ 0, the value of g(f(x)) is
g(x)=(1/4)√x
[tex]\rm g(x)=\frac{1}{4}\sqrt x \\\\ g(x ) = \frac{1}{4} \times \sqrt{16 \ x^2}\\\\ g(x) = \frac{4}{4} x \\\\ g(x) = x[/tex]
For x ≥ 0, functions f and g are inverse functions
Let,
y=F(X)
If,
y= 16x²
x=16y²
y² = x/16
y=(1/4)√x
Hence,For x ≥ 0, the value of f(g(x)),For x ≥ 0, the value of g(f(x)) will be x and x respectively.and For x ≥ 0, functions f and g are inverse functions.
Hence, option a from all the choices is corect.
To learn more about the function refer to the link https://brainly.com/question/12431044.
#SPJ2
7. A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to
half its original value in 4 years. If you bought a car 8 years ago and it is now worth $5,000, how
much did you pay for the car originally?
Given :
A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4 years. If you bought a car 8 years ago and it is now worth $5,000.
To Find :
How much did you pay for the car originally.
Solution :
Let, original price is x.
It is given that price gets half after 4 years.
So, price after 8 year is, P = x/4 .
x/4 = 5,000
x = $20,000
Therefore, price of new of car is $20,000.
Hence, this is the required solution.
HELPPPPP !!!
What is the justification for the step taken from line 2 to line 3?
3x +9-7X=X+10+X
-4x+9 = 2x+10
-6x+9= 10
-6x=1
x = 6 음
(A) the subtraction property of equality
(B) the multiplication property of equality
(C) combining like terms on one side of the equation
(D) the distributive property
Submit
Answer:
(A) the subtraction property of equality
Step-by-step explanation:
Given
The steps in the question
Require
Justify step 2 to 3
Write out step 2:
[tex]-4x+9 = 2x+10[/tex]
Apply subtraction property by subtracting 2x from both sides
[tex]-4x-2x+9 = 2x-2x+10[/tex]
[tex]-6x+9 = 10[/tex]
Notice that the above equation is represented in step 3.
Hence, option A answers the question.
A. the subtraction property of equality
Select all sides lengths x for the missing side of abc
What does 2.89x0.79x1.35= equal?
Answer: 3.082185x^2
Step-by-step explanation: Find the exact value using trigonometric identities
A video game has the following formula:
For every 1,701 in attack power, you gain 3 levels.
You get one bonus star per every 33 levels completed.
If a player has an attack power of 0.04 million, how many bonus stars could they get?
Round to a whole number.
Answer:
2 bonus stars
Step-by-step explanation:
0.04 million= 40,000
40000/1701= 23.5
23.5(3)= 70.5
70.5/33= 2 stars
A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents for a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?
Answer:
The expected game value is -1 cent
Step-by-step explanation:
Here, we want to calculate the expected value of the game
We have 4 aces and 4 kings, including 26 red cards
The number of aces is 4
Probability of drawing an ace is 4/52 = 1/13
Probability of drawing a king is also 4/52 = 1/13
There are 26 red cards
The number of red cards that are neither ace nor king
There are 2 red aces and 2 red kings
So the number of cards that are red but are not
aces nor kings are 26-2-2 = 22
The probability of selecting this is 22/52 = 11/26
So the expected value is simply the probability multiplied by the amount
Thus, we have;
(60 * 1/13) + (30 * 1/13) + (5 * 11/26)
= 60/13 + 30/13 + 55/26
= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents
we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent
1.682 inches rounded to the nearest whole number is 1 inches?
It's closer to 2, so it would be rounded from 1.682 in to 2 in.
Answer:
No, its most likely 2
Step-by-step explanation:
6 is closer to 10
hope this helps :) btw if ya like rap follow my brother on yt his rap his name is Ghxstboiireaper
After driving 120 miles you completed 3/4 of the trip. How long was the entire trip
Answer:
160
Step-by-step explanation:
120/3 = 40
40 x 4 = 160
May I have brainliest please? :)
Write a problem in which$180 would be a reasonable answer
Answer:
um ill do to cause im in algerbra
Step-by-step explanation:
$30+$150=$180
5x+105=180
5x=75
x=15
Answer:You have to buy Christmas presents for your 3 kids Samantha wants the harry potter book set 50$ Casey want the sims 4 game 40$ and your oldest kid Johnny wants the new drone 90$.
Step-by-step explanation:
Arizona iced tea is manufactured in a warehouse by machines that bottles
the iced tea bottles and puts the caps and labels on them. There is a
special machine that bottles iced tea so that every 8th bottle gets a green
label and every 6th bottle gets a pink cap.
What number bottle will be the first bottle to get a green label and a
pink cap?
On the 100th year Anniversary every 10th bottle got a special edition bottle
that has a gold band.
What number bottle will be the first to get a green label, a pink cap
and a special edit
Answer:
to get a green and pink it would be 24
i cant find find the special edit sorry
Step-by-step explanation:
The mean is 0.500 and the standard deviation is 1.84 x 10-3. Gaussian Statistics Apply. How many replicate determinations are necessary if the standard error of the mean is not to exceed 0.100%
Answer:
I don't know but do you know how to answer this:
Two similar right triangles have areas of 6 square inches and
150 square inches. The length of the hypotenuse of the smaller
triangle is 5 inches. What is the sum of the lengths of the legs
of the larger triangle?
Answer:
:>
Step-by-step explanation:
Find the length of the third side of the right angle
Answer:
54
Step-by-step explanation:
pls answer ASAP
Select all that apply.
Which decimals in the list are repeating decimals?
Answer:
- 5/6
- 1/3
Step-by-step explanation:
Answer:
A and F
Step-by-step explanation:
5/6 and 1/3
help pleaseeeeeeeee
Answer:9
Step-by-step explanation: im not really sure I kinda just guess and check, so like, 2/3 times 3 is 6/3 which is 2. so 6/2 is 3. 3 times 3 is nine.
Use the figure on the right to find the length of DC.
Answer:
this is the figure btw
Step-by-step explanation:
What is the fraction equivalence of 4.8?
Answer:
48/10
Step-by-step explanation:
Three letters are randomly chosen from the word PROBABILITY. What is the probability that one of the letters is P?
Answer:
If 3 letters are picked from the word 'PROBABILITY', the chances of it being P is 33.33%.
Hope this helps and if you could mark me as brainliest. Thanks!
The sum of a number g squared and 4 is greater than or equal to −5.
Answer:
g^2 + 4 > -5
Step-by-step explanation:
sum implies addition so add it with 4
i can’t put the equal to thing on here but there is supposed to be a line under the greater than symbol
Answer:
[tex]g\geq +/- 3i[/tex]
Step-by-step explanation:
Using clues given in the problem, we can set up a solvable inequality.
A number g squared: [tex]g^{2}[/tex]
The sum of a number g squared and 4: [tex]g^{2}+4[/tex]
Is greater than or equal to: [tex]g^{2}+4\geq[/tex]
Greater than or equal to -5: [tex]g^{2}+4\geq-5[/tex]
Isolate [tex]g[/tex]:
[tex]g^{2}\geq -9[/tex]
Solve for [tex]g[/tex]:
[tex]\sqrt{g^{2}}\geq \sqrt{-9}[/tex]
This^ looks bad because of the negative, but as I'll show you in the next step it can be split up and you will use the value [tex]i[/tex], or [tex]\sqrt{-1}[/tex].
[tex]g\geq \sqrt{9} \sqrt{-1}[/tex]
[tex]g\geq +/-3i[/tex]
I hope this helps!