B is correct. Hope I helped yah.
Find ac. round the answer to the nearest tenth.
a. 0.8
b. 1.5
c. 1.7
d. 2.1
Answer:
b. 1.5 hope it helps
Convert the complex number z = 4 - 10i from rectangular form to polar form.
ANSWER
[tex]r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree)) [/tex]
EXPLANATION
The polar form of a complex number ,
[tex]z = x + yi[/tex]
is given by:
[tex]z = r( \cos( \theta) + i \sin( \theta) )[/tex]
where
[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
The given complex number is:
[tex]z = 4 - 10i[/tex]
[tex]r = \sqrt{ {4}^{2} + {( - 10)}^{2} } [/tex]
[tex]r = \sqrt{16 + 100} [/tex]
[tex]r = \sqrt{116} = 2 \sqrt{29} [/tex]
And
[tex]\theta= \tan^{ - 1}(\frac{ y}{x} )[/tex]
[tex]\theta= \tan^{ - 1}(\frac{ - 10}{4} )[/tex]
[tex]\theta= 292 \degree[/tex]
Hence the polar form is :
[tex]r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree)) [/tex]
A nature preserve has a population of fourteen black bears. They have been tagged #1 through #14, so they can be observed over time. Two of them are randomly selected and captured for evaluation. One is tested for worms and one is tested for ticks. What is the probability that bear #3 is tested for worms and bear #5 is tested for ticks?
Answer:
1/182 or 0.55%
Step-by-step explanation:
There are 2 ways to approach this problem (and both give the same answer!).
First method: probability for each test.
First test, worms: There's 1/14 chances for bear #3 to be selected, since there are 14 bears total.
Second test, ticks: There's 1/13 chances for bear #5 to be selected, since only 13 bears remain (#3 cannot be tested for both ticks and worms).
So, to obtain the total probability, we multiply 1/14 with 1/13 = 1/182
Second method: permutations
We can see the problem from a permutations perspective. How many permutations can we have for 2 bears to be tested? It's a permutation since the order is important. (#3 ticks + #5 worms ≠ #3 worms + #5 ticks)
[tex]P(14,2) = \frac{14!}{(14 - 2)!} = 182[/tex]
There are 182 permutations possible, ONE of which is bear #3 is tested for worms and bear #5 is tested for ticks.
So, once again, 1/182.
In a T-test, if your n=459, your DF is:
A. 459
B. 460
C. 458
D. A&C
Answer:
DF = 458
Step-by-step explanation:
In statistics, T-test have an extensive application. T-tests are used in hypothesis testing or inference about the population mean when the population standard deviation is not known. Nevertheless, they are used in making inference in paired samples or dependent samples t-test as well as independent samples.
The degrees of freedom, DF, is a characteristic of the student's t distribution which is used in T-tests. In a simple T-test;
DF = n - 1
where n is the sample size
Given n is 459, DF = 459 - 1 = 458
Therefore, DF = 458
Polygons and Quadrilaterals... Help
Answer:
That is an octagon (eight sides).
Interior Angle Total = 1,080
EACH interior angle = 180 - (360 / 8) = 135
n + 161 + (n -12) +(n + 30) + n + 134 + (n+16) + 126 = 1,080
5n + 455 = 1,080
5n = 625
n = 78.125
Step-by-step explanation:
PLEASE HELP!! The line plot shows the amount of liquid fertilizer used on nine plants. What is the total amount of liquid fertilizer used?
Answer:
4 3/4 or 19/4
Step-by-step explanation:
To answer this question, you must add the values of all of the x's on the line plot. There is 1 x on 1/4 and 2 x's on 3/8. So, add 1/4 + 3/8 + 3/8 to get 1. Next, there are 3 x's on 1/2. So, add 1 + 1/2 + 1/2 + 1/2 to get 2 1/2. Lastly, there's 1 x on 5/8, 1 x on 3/4, and 1 x on 7/8. So add 2 1/2 + 5/8 + 3/4 + 7/8 to get 4 3/4 of 19/4 as your final answer. I hope this helps!!!
Write an expression to represent . Eight less than the product of two and a number x
The phrase 'Eight less than the product of two and a number x' translates to the algebraic expression 2x - 8.
Explanation:The student's question is about writing an algebraic expression to represent a phrase. In this case, 'Eight less than the product of two and a number x' can be translated into algebraic expression. The 'product of two and a number x' is simply, 2x. 'Eight less than' is subtracting 8 from something. Therefore, this phrase is written as 2x - 8 in algebraic expression.
Learn more about Algebraic Expressions here:https://brainly.com/question/34192827
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PLEASE HELP ME ASAP !!!!
Answer:
Same:
A 50% decrease followed by a 100% increase.
A 33 1/3% decrease followed by a 50% increase.
Less:
A $25 increase followed by a $30 decrease.
A 20% increase followed by a 25% decrease.
Greater:
An 80% increase followed by a 40% decrease.
IN ORDER TO FIGURE OUT THE ANSWER CHOOSE A NUMBER AND APPLY WHAT IT IS TELLING YOU. FOR EX: on #1: I chose the number 100 then multiplied it by 1.8 then multiplied that number by 0.6 to get 108 which is greater than 100
80% increase followed by 40% decrease=greater
50% decrease follow by 100% increase=greater
20% increase followed by a 25% decrease=less
$25 increase followed by $30 decrease= less
33 1/3% decrease followed by 50% increase= same
Please help with math problem
Answer:
[tex]a_0 = -6[/tex]
[tex]a_1=8[/tex]
[tex]x^2 +y^2 -6x + 8y = 0[/tex]
Step-by-step explanation:
The equation of the circle has the following form
[tex]x^2 + y^2 + a_0x + a_1y=0[/tex]
The equation of the circle has the following form
We know that the circle goes through the following points
(0, 0)
(6, 0)
(0, -8).
Then we substitute the values of x and y in the equation
For (0, 0)
[tex]0^2 + 0^2 + a_0(0) + a_1(0)=0[/tex]
[tex]0=0[/tex]
For (6, 0)
[tex]6^2 + 0^2 + a_0(6) + a_1(0)=0[/tex]
[tex]36 + 6a_0=0[/tex]
[tex]a_0 = -\frac{36}{6}\\\\a_0 = -6[/tex]
For (0, -8)
[tex]0^2 + (-8)^2 + a_0(0) + a_1(-8)=0[/tex]
[tex](-8)^2 - 8a_1=0[/tex]
[tex](-8)^2 = 8a_1[/tex]
[tex]a_1=8[/tex]
Finally the equation is:
[tex]x^2 +y^2 -6x + 8y = 0[/tex]
identify the vertex, the axis of symmetry and the y intercept of the parabola below.
please.
1,2 cause of the o and y axis
The vertex is where the parabola changes directions, or in simpler terms, at the parabolas lowest point. Unless the parabola is upside down, then the vertex is where the highest point is.
The acid of symmetry is the line where the parabola can be divided evenly. This is almost always where the vertex is, except it continues on.
The y-intercept is where the parabola intersects with the y-axis.
I’ve answered the question below in the picture (my graph is not to scale but the answers are correct for yours)
Hope this helped and good luck!!
change
4/5 to a percent
Answer:
80%
Step-by-step explanation:
4/5 is equal to 0.8, and 0.8 is equal to 80%
Answer:
[tex]\large\boxed{\dfrac{4}{5}=80\%}[/tex]
Step-by-step explanation:
[tex]n\ to\ a\ percent:\ n=n\cdot100\%\\\\======================\\\\\dfrac{4}{5}=\dfrac{4}{5}\cdot100\%=\dfrac{400}{5}\%=80\%[/tex]
Which values are with in the range of the piecewise defined function?
The range of the piecewise defined function is:
y= -6 , y= -4 , y= -3 , y=0
Step-by-step explanation:The piecewise function is defined by:
f(x) = 2x+2 when x < -3
x when x = -3
and -x-2 when x > -3
when x < -3Then the graph of the function is a strictly increasing function and is a line with a slope of 2.
The function increases continuously from -∞ to -4
i.e. it takes all the value in the interval (-∞,-4)
There is a open circle at (-3,-4)
Also, at x= -3 the value of function is : -3For x > -3The graph of the function f(x) is strictly decreasing .
Since the graph is a line with slope -1.
Also, there is a open circle at (-3,1)
and the function starts decreasing continuously and will take all the values strictly less than 1.
i.e. the range for x > -3 is: (-∞,1)
The range of the whole function f(x) is:
(-∞,1)
a segment has and endpoint at (-6, 8). The midpoint is at (-6, 2). What are the coordinates of the other endpoint?
Answer:
(-6,-4)
Step-by-step explanation:
The first endpoint of the line is (-6,8), we can call
x_1 = -6
and
y_1 = 8
Let the last endpoint have coordinates (x_2,y_2)
Also, the midpoint formula is:
(x_1+x_2)/2 , (y_1+y_2)/2
Now, plugging these values is the formula, we get:
(-6+x_2)/2 = -6
-6+x_2=-12
x_2=-12+6 = -6
x_2 = -6
Also
(8+y_2)/2=2
8+y_2=4
y_2=4-8=-4
y_2 = -4
The coordinates of the other endpoint is (-6,-4)
I. You withdraw $17 from your account. II. A running back loses 17 yards in a game. III. The temperature rises 17 degrees. The integer -17 would BEST represent which of these events? A) I only B) III only C) I and II only D) II and III only
Withdrawing money from an account is a negative value, losing yards in a game would also be a negative value.
A rise in temperature would be a positive value.
Both 1 and 2 could be written as -17.
The answer is C.
What’s one way to check the answer to 5x6=30?
Answer:
5 + 5 + 5 + 5 + 5 + 5 = 30
6 + 6 + 6 + 6 + 6 = 30
5 = 30 ÷ 6
6 = 30 ÷ 5
please help answer all please!!!!The graph below represent a trip taken by bicycle. Use the graph to answer questions
11. During the trip the cyclist stops for a time. During which labeled section-A, B, C, or D- did he stop? ________
12. During which labeled section was he traveling the slowest? _______
13. During which labeled section was he traveling the fastest? ______
14 Calculate the speed of the cyclist during section D _______
15. How far away was the cyclist when he turned around and headed home? _______
Answer:
Part 11) The cyclist stops for a time during the section B
Part 12) He traveling slowest in section A
Part 13) He traveling fastest in section C
Part 14) The speed in section D is 20 km/h
Part 15) The cyclist was 60 km from home when he turned around
Step-by-step explanation:
we know that
The speed is the ratio of the distance by the time
s=d/t
The slope of the graph is equal to the speed of the cyclist
Part 11. During the trip the cyclist stops for a time. During which labeled section-A, B, C, or D- did he stop?
The cyclist stops for a time during the section B
Because, during section B the distance is a constant (d=30 km)
therefore
The speed is equal to zero (Remember that the slope of a horizontal line is equal to zero)
Part 12. During which labeled section was he traveling the slowest?
Find the slope (speed) in each section
Find the slope in section A
Let
A(0,0) and B(4,30)
the slope is equal to
m=(30-0)/(4-0)=7.5 km/h
Find the slope in section B
Is a horizontal line
therefore
the slope is equal to
m=0 km/h
Find the slope in section C
Let
C(6,30) and D(7,60)
the slope is equal to
m=(60-30)/(7-6)=30 km/h
Find the slope in section D
Let
E(7,60) and F(10,0)
the slope is equal to
m=(0-60)/(10-7)=-20 km/h ---> is negative because in this section he turned around
therefore
He traveling slowest in section A
Part 13. During which labeled section was he traveling the fastest?
Remember part 12)
Slope in section C
Let
C(6,30) and D(7,60)
the slope is equal to
m=(60-30)/(7-6)=30 km/h ----> is the greater slope
therefore
He traveling fastest in section C
Part 14. Calculate the speed of the cyclist during section D
Remember part 12)
Slope in section D
Let
E(7,60) and F(10,0)
the slope is equal to
m=(0-60)/(10-7)=-20 km/h ---> is negative because in this section he turned around
therefore
The speed in section D is 20 km/h
Part 15. How far away was the cyclist when he turned around and headed home
Observing the graph
we know that the cyclist turned around at point (7,60)
therefore
The cyclist was 60 km from home when he turned around
Select all the equations where c=9 is a solution. Choose 2 answers:
A. 4 - c =5
B. 20 = 14 + c
C. 15 = c - 6
D. C/3 = 3
E. 36 = 4c
Answer is D and E
Since 9 divided by 3 is three it would be correct and 4 multiplied by 9 is E would be correct. The others just don’t add up.
The equation where c = 9 should be option D and option E.
Given information:C = 9
Equation selection:If [tex]C \div 3 = 3\\\\[/tex]
So this should be correct as 3 = 3
And,
36 = 4c
c = 9
Learn more about the equation here: https://brainly.com/question/18715058
15 POINTS, WILL GIVE BRAINLIEST: simplify x^-4 y^-4 z^-1 * 2yx^3 z^-3 using properties of exponents.
2\xy³z⁴ is the simplification.
The total weight of 15 boxes is 45 pounds. How much would 40 boxes
weigh?
Answer:
120 pounds
Step-by-step explanation:
1. divide 45 by 15
45 / 15 = 3
2. Each box costs 3 pounds each
3. multiple 3 by 40.
4. 40 x 3 = 120
Find the area of this regular polygon.
Round to the nearest tenth.
Rounding to the nearest tenth, the area of the regular pentagon is approximately 175.1 square centimeters.
To find the area of the regular pentagon, we can use the formula:
Area = (5/2) * s * r
Where s is the length of one side of the pentagon and r is the distance from the midpoint of the pentagon to one of its vertices.
We are given that s = 8.37 cm and r = 8.37 cm.
Plugging these values into the formula, we get:
Area = (5/2) * 8.37 * 8.37
Area = (5/2) * 70.0569
Area = 175.14225
Rounding to the nearest tenth, the area of the regular pentagon is approximately 175.1 square centimeters.
Last weekend nina mowed 4 lawns and received $60 this weekend she mowed 6 lawns and received $90 what is the constant of proportionality
Answer: nina is getting $15 for 1 lawn.
Step-by-step explanation:
1 $15
2 $30
3 $45
4 $60
I need help please????
Answer:
(2, 2)
Step-by-step explanation:
To determine which ordered pair is a solution to the equation.
Substitute the x- coordinate into the left side and the y- coordinate into the right side and if both sides are equal then that is the solution.
(2, 2)
3 × 2 = 6 and 8 - 2 = 6 → hence (2, 2) is a solution
(8, 0)
3 × 8 = 24 and 8 - 0 = 8 → hence (8, 0) is not a solution
(3, 1)
3 × 3 = 9 and 8 - 1 = 7 → hence (3, 1) is not a solution
PLEASEEE ANSWER!!!!!!! Ali must choose a shirt, a pair of pants, and a cap for today's outfit. He has
2 shirts,
3 pairs of pants, and
2 caps to choose from. How many different outfits can he make?
Answer:
12
Step-by-step explanation:
He can take one of the 2 shirts, so he has 2 choices.
He can take any one of the 3 pair of pants, so he has 3 choices.
He can choose any one of the 2 caps he has, thus he has 2 choices.
To find the number of different outfits possible, we simply multiply the number of choices available for each.
2 * 3 * 2 = 12 different outfits
Answer:
he can only make 2 outfits and have 1 pair of pants and one cap left byebye tell me if i am rightor wrong plz
stay safe
Step-by-step explanation:
What are the x-intercepts of y=x^2+2x-15
Answer:
[tex](-5,0)[/tex] and [tex](3,0)[/tex]
Step-by-step explanation:
Think about it.
What two numbers multiply to -15 and add up to 2?
The answers are 5 and -3.
So plug that into the factored form of a parabola.
[tex]y=(x+5)(x-3)[/tex]
To find the x-intercepts, plug in 0 for [tex]y[/tex].
[tex](x+5)(x-3)=0[/tex]
Since we are multiplying, at least one of the terms has to equal 0.
[tex]x+5=0 \\ x-3=0 \\ \\ x=-5,3[/tex]
So the x-intercepts are [tex](-5,0)[/tex] and [tex](3,0)[/tex].
which expression can be used to find the value of x?
• (sin 29°)(sin 42°)
____________
9
• 9(sin 42°)
_______
sin 29°
• 9(sin 29°)(sin 42°)
• 9(sin 29°)
________
sin 42°
Answer:
• 9(sin 42°)
_______
sin 29°
Step-by-step explanation:
The value of x is calculated by the sine rule is 9(sin 42°)/sin 29°. Then the correct option is B.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a triangle.
We know that the sine rule is given as
[tex]\rm \dfrac{a}{sin A} =\dfrac{b}{sin B}=\dfrac{c}{sin C}[/tex]
Then put the values and we have
[tex]\begin{aligned} \rm \dfrac{x}{sin 42^o} &= \rm \dfrac{9}{sin 29^o}\\\\\\\rm x &= \rm \dfrac{9*sin 42^o}{sin 29^o} \end{aligned}[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
How many solutions are there to the equation below 9x+16=4x
Answer:
one solution
Step-by-step explanation:
9x+16=4x
16=4x-9x
16/-5=x
x=-3.2
PLZ HELP!! PLZ SHOW WORK AND EXPLAIN
Answer:
50 miles
Step-by-step explanation:
Addition:
7/8 + 9/4 = 7/8 + 18/8 = 25/8 inches.
Now we have to convert to miles:
25/8 inches *16
Answer = 50 miles.
Mack wants to calculate the circumference of a circle with a radius of 7 centimeters.
So C= dxpi or rx2xpi= c in this case 7x 2 = 14 is diameter do E D and A finds the diameter and the rest do not
Translate the following into a math equation:
4 divided by the difference of h and 7
Question 1 options:
a 4 − h ÷ 7
b (h − 7) ÷ 4
c 4 ÷(h − 7)
d 4 ÷ (h + 7)
Answer:
C
Step-by-step explanation:
4 divided is said first, so it comes first in the equation. Difference means subtraction, meaning h - 7
what is 1 2/5 + 2 3/10
Answer: 3 7/10
Solution by separating partsLet's rewrite our equation with the parts separated
= 1 + 2/5 + 2 + 3/10
Now, let's add the whole numbers
1 + 2 = 3
Now, let's figure out how to solve the fraction parts
2/5 + 3/10 = ?
You'll need to find the LCD (Lowest Common Denominator) of 2/5 and 3/10.
If you don't know, the LCD is 10
Since 3/10 already has a denominator of 10, we don't need to do anything with it.
However, we need to multiply the numerator and denominator of 2/5 by 2
Why? We need the LCD, which is 10. Also, we can only add fractions if they have the same denominators
Numerator: 2 x 2 = 4
Denominator: 5 x 2 = 10
Fraction: 4/10
Now add the fractions
4/10 + 3/10 = 7/10
Finally, combine the whole numbers with the fractions
3 + 7/10 = 3 7/10