Elizabeth on her first turn moved 6 spaces.
On her second, she moved 5 spaces forward.
On her third, she moved 4 spaces backward.
Therefore, we can sum or add the spaces to find the result.
6 spaces + 5 spaces forward - 4 spaces backward = 6+5-4 = 7.
Finally, we can say that she is 7 spaces forward from her starting point.
Help!!! What types of symmetry does this figure have?? I need an explanation plss
Answer: C
Rotational symmetry means that the object looks the same if you rotate it by a certain amount of degrees. This object demonstrates rotational symmetry because if you rotate it around, it will look the same.
Reflectional symmetry is when you put a line down the middle of the shape and it looks the same on both sides. This object also demonstrates reflectional symmetry because if you place a line in the middle from left to right, up to down, or diagonal, all sides look the same.
Therefore, the object demonstrates both rotational and reflectional symmetry.
Determine, to the nearest tenth, the perimeter of the triangle shown in the accompanying diagram.
Answer:
D. 23.3
Explanation:
The perimeter of a triangle is the sum of all its side lengths,
Given the coordinates of the vertices of triangle ABC as:
• A(-9,6), B(-3,10) and C(-2,2)
First, we find the side lengths using the distance formula below:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Using points A(-9,6) and B(-3,10):
[tex]\begin{gathered} AB=\sqrt[]{(-3-(-9))^2+(10-6)^2} \\ =\sqrt[]{(-3+9)^2+(4)^2}=\sqrt[]{(6)^2+(4)^2}=\sqrt[]{36+16} \\ AB=\sqrt[]{52} \end{gathered}[/tex]Using points B(-3,10) and C(-2,2):
[tex]\begin{gathered} BC=\sqrt[]{(-2-(-3))^2+(2-10)^2} \\ =\sqrt[]{(-2+3)^2+(-8)^2}=\sqrt[]{(1)^2+(-8)^2}=\sqrt[]{1+64} \\ BC=\sqrt[]{65} \end{gathered}[/tex]Finally, using points A(-9,6) and C(-2,2):
[tex]\begin{gathered} AC=\sqrt[]{(-2-(-9))^2+(2-6)^2} \\ =\sqrt[]{(-2+9)^2+(-4)^2}=\sqrt[]{(7)^2+(-4)^2}=\sqrt[]{49+16} \\ AC=\sqrt[]{65} \end{gathered}[/tex]Therefore, the perimeter of triangle ABC is:
[tex]\begin{gathered} \text{Perimeter}=AB+BC+AC \\ =\sqrt[]{52}+\sqrt[]{65}+\sqrt[]{65} \\ =23.3\text{ units} \end{gathered}[/tex]The correct option is D.
Which of the following best describes the two radical expressions below?
they are not like terms (option B)
Explanation:Given:
Two radicals: √3 and √2
To find:
the best description of the two radical expressions
a) Perfect squares are numbers that can be written as the product of itself
The given numbers are radicals and their roots give a decimal not a whole number. Hence, they are not perfect squares
b) √3 and √2 give two different results
The two radicals are not like terms. Neither are they equal to each other
Hence, they are not like terms (option B)
Find the difference of the complex numbers.(6 + 2i ) - (4 - 8i )A.2 + 10iB.10 - 6iC.2 - 6iD.10 + 10i
Given:
There are two complex numbers given as
[tex]\begin{gathered} \left(6+2i\right) \\ and \\ \left(4-8i\right) \end{gathered}[/tex]Required:
We need to find the difference of both complex numbers
Explanation:
Just take i as x and substitute the numbers
[tex]\begin{gathered} \left(6+2i\right)-(4-8i) \\ 6+2i-4+8i \\ 6-4+i(2+8) \\ 2+10i \end{gathered}[/tex]Final answer:
Difference of both number is
[tex]2+10i[/tex]for each triangle, calculate (vertical side) ÷ (horizontal side)
Triangle RST = 2/4 = 1/2
Triangle XYZ = 3/6 = 1/2
ID: 84391 Szats Question Feedback Add to Favorites Bonus Question 11 Replace with similar Question I Remove Question Alex is adding baseball cards to sleeves in his binder. He filled 27 / of his binder the first day. On the second day he filled How 7 much of his binder did Alex fill in those two days? 3 A) B)
We have that Alex filled
[tex]\frac{2}{7}\text{ and }\frac{4}{7}[/tex]of his binder.
We just add both fractions.
Then, in total he filled:
[tex]\frac{2}{7}+\frac{4}{7}[/tex]Since both fractions have the same denominator, 7, we add them just by adding the numerators:
[tex]\frac{2}{7}+\frac{4}{7}=\frac{2+4}{7}=\frac{6}{7}[/tex]Then, he filled 6/7 of his binder in those two days.
Answer: 6/7
can you show what number 5 would look like on a unit circle
Given: sin 510⁰
To Determine: The value of the given sines in the unit circle
Solution
To find the value of sin 510 degrees using the unit circle, we will represent 510° in the form (1 × 360°) + 150° [∵ 510°>360°]
Therefore, sine is a periodic function, sin 510° = sin 150°
The value of sin 510 degrees can be calculated by constructing an angle of 510° with the x-axis, and then finding the coordinates of the corresponding point which is (-0.866, 0.5) on the unit circle.
The value of sin 510° is equal to the y-coordinate (0.5).
This is as shown in the image below:
Using radical form
[tex]\begin{gathered} sin(510^0) \\ sin(510^0-360^0)=sin150^0 \\ 150^0lies\text{ in the second quadrant, and sine is positive in the 2nd quadrant} \\ Therefore, \\ sin(510^0)=sin(150^0)=+sin(180^0-150^0) \\ sin(510^0)=sin(150^0)=+sin(30^0) \\ sin(510^0)=sin(150^0)=\frac{1}{2} \end{gathered}[/tex]Hence, sin 510° = 0.5 or 1/2
Solve the linear equation 5x-10y=-5Make sure you provide me with the solution.
Answer
y-intercept = 1/2
x -intercept = -1
The solutions are x = -1 and y = 1/2
Step-by-step explanation:
Given the following linear equation
5x - 10y = -5
To find x and y-intercepts
Step 1: isolate x to find y
let x = 0, to find y
5(0) - 10y = -5
0 - 10y = -5
-10y = -5
Divide both sides by -10
-10y/-10 = -5/-10
y = 1/2
(0, 1/2)
5x - 10y = -5
To find x, let y = 0
5x - 10(0) = -5
5x - 0 = -5
5x = -5
Divide both sides by 5
5x/-5 = -5/5
x = -1
(-1, 0)
Therefore, y-intercept = 1/2 and x -intercept = -1
The slope-intercept form of the equation is given as
y = mx + c
Given 5x - 10y = -5
Step 1 : re-write the equation
-10y = -5 - 5x
10y = -(-5 - 5x)
10y = 5x + 5
Divide through by 10
10y/10 = 5x/10 + 5/10
y = 1/2x + 1/2
5x
10y = -(-5 - 5x)
10y = 5x + 5
-7.7=-1.3+x/4........
We have:
[tex]-7.7=-1.3+\frac{x}{4}[/tex]The first thing to do is passing the term -1.3 from the right side of the equation to the left side as a positive number:
[tex]-7.7+1.3=-6.4=\frac{x}{4}[/tex]The next step involves multiplying the 4 in the left side:
[tex]\begin{gathered} -6.4=\frac{x}{4} \\ -6.4\cdot4=x \\ x=-25.6 \end{gathered}[/tex]Which of the following measurements must be accurate when used in a grocery store?Weight of meatWeight of produce Price of itemNumber of customers shopping in one day
Price of item
Weight of produce
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study babies were born, and of them were girls. Use the sample data to construct a % confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective?
Question content area bottom
Part 1
0.857 p
0.943 (Round to three decimal places as needed.)
Part 2
Does the method appear to be effective?
, the proportion of girls significantly different from 0.5.
, the proportion of girls significantly different from 0.5.
Using the z-distribution, the 99% confidence interval estimate of the percentage of girls born is:
(49.7%, 60.3%).
Regarding the effectiveness of the method:
The proportion of girls is not significantly different from 0.5.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the following rule:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which the parameters are presented as follows:
[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The sample size and the estimate are given as follows:
[tex]n = 580, \pi = \frac{319}{580} = 0.55[/tex]
The lower bound of the interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 - 2.575\sqrt{\frac{0.55(0.45)}{580}} = 0.497[/tex]
The upper bound is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 + 2.575\sqrt{\frac{0.55(0.45)}{580}} = 0.603[/tex]
As a percentage, the bounds are:
(49.7%, 60.3%).
Hence the proportion of girls is not significantly different from 0.5, as 50% is within the bounds of the interval.
Missing informationA clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 580 babies were born, and 319 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective?
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ1
what is the area of a circle that has a radius of 12 units? use =3.14
Given:
The radius of the circle is 12 units.
To find:
The area of the circle.
Explanation:
The formula for the area of the circle is,
[tex]A=\pi r^2[/tex]Substituting r = 12 in the formula, we get
[tex]\begin{gathered} A=3.14\times12^2 \\ =452.16units^2 \end{gathered}[/tex]Thus, the area of the circle is 452.16 square units.
Final answer:
The area of the circle is 452.16 square units.
if the radius (r) of the circle is 3 what in terms of pu
Answer
Option C is correct.
Area of the circle = 9π
Explanation
Question 4
Area of a circle = πr²
where
π = pi
r = radius of the circle = 3 feet
Area of this circle = πr²
Area of this circle = π (3²) = 9π
Hope this Helps!!!
Find the area of a sector with a central angle of 170° and a radius of 17 millimeters. Round to the nearest tenth. 857.5 mm2100.9 mm2428.7 mm225.2 mm2
For use to be able to determine the area of a sector, we will be using the following formula:
[tex]\text{ Are of Sector = }(\frac{\Theta}{360^{\circ}})\pi r^2[/tex]We get,
[tex]\text{ Are of Sector = }(\frac{\Theta}{360^{\circ}})\pi r^2[/tex][tex]\text{= }(\frac{170^{\circ}}{360^{\circ}})(3.1416)(17)^2[/tex][tex]\text{= }(0.4722)(3.1416)(289)[/tex][tex]\text{Area of Sector = }428.72095728\text{ }\approx428.7\text{ mm}^2[/tex]Therefore, the answer is 428.7 mm²
mr floors opened an account with the deposit of $5,000 the account earned him annual simple interest he did not make any additional deposit or withdrawals aMrt the end of 4 years the balance of the account was 6,500 what is the annual interest rate on this account
ANSWER
7.5%
EXPLANATION
The initial amount deposited is $5,000.
After 4 years, the balance is $6,500.
First, find the interest:
[tex]\begin{gathered} \text{Interest}=\text{Amount}-\text{Principal} \\ \Rightarrow I=6500-5000 \\ I=\text{ \$1,500} \end{gathered}[/tex]To find the rate, use the formula for Simple Interest:
[tex]I=\frac{P\cdot R\cdot T}{100}[/tex]where I = interest
P = principal
R = rate
T = time
From the question:
I = $1500; P = $5000; T = 4 years
Therefore:
[tex]\begin{gathered} 1500=\frac{5000\cdot R\cdot4}{100}=200\cdot R \\ \Rightarrow R=\frac{1500}{200} \\ R=7.5\text{ \%} \end{gathered}[/tex]The rate is 7.5%
translate the sentence into an equation four more than the quotient of a number and 6 is 2 use the variable b for the unknown number
Consider each part of the sentence:
four (4) more (+) than the quotient of a number and 6 (b/6) is 2 (= 2):
Hence, you have:
4 + b/6 = 2
This graph shows how much Lisa earns babysitting, compared with thenumber of hours she works. Select the correct statement about the graph.A. For each hour she works, her earnings go up by $6.O B. For each dollar she earns, the number of hours she works goes upby 12.O C. For each hour she works, her earnings go up by $12.D. For every 6 hours she works, her earnings go up by $1.
ANSWER
C. For every hour she works, her earnings go up by $12.
EXPLANATION
We have the graph that shows the relationship between the amount earned by Lisa and the number of hours she works.
The question we need to solve deals with the slope of the graph, i.e. how the amount earned changes with respect to the number of hours she worked.
If we look at the x and y axes (horizontal and vertical axes respectively) we will see that the amount earned is $12 when time is 1 hour, the amount earned is $24 when time is 2 hours.
If we continue with this pattern, we will see that the amount she earns increases by $12 for every hour that she works.
Therefore, the correct option is C: For every hour she works, her earnings go up by $12.
Hello, I need some assistance with this homework question, please? This is for my precalculus homework. Q4
Given
[tex]2^x=2^8[/tex]Use the logarithmic function to solve for x, as shown below
[tex]\begin{gathered} \Rightarrow ln(2^x)=ln(2^8) \\ \Rightarrow xln(2)=8ln(2) \\ \Rightarrow x=8 \end{gathered}[/tex]Thus, the answer is x=8
8 ft 3 ft The shaded squares in this diagram show Kyle's plan for tiling a floor. How many square feet of tile will be use? 4 ft . 3 ft 8 ft
SOLUTION
The square feet of tile needed is the area fo the shape given
Consider the image below
The area of the shape is the sum of the individual arear of the of the two Rectangle and the Area of the square
[tex]\begin{gathered} area\text{ of the rectangel is } \\ l\times b \\ \text{where } \\ b=3,l=8 \\ \end{gathered}[/tex]Then
[tex]\text{Area of rectangle =3x8=24 square feet}[/tex]Since the other rectangle at the base have the same dimension, The are is
[tex]\text{Area of rectangle at the base =24square f}eet\text{ }[/tex]Then, we obtain the Area of the Square
[tex]\begin{gathered} \text{Area os Square=l}^2 \\ \text{Where l=4 ft} \\ \text{then} \\ \text{Area of square =4}^2=4\times4=16ft^2 \end{gathered}[/tex]Hence, the area of the Shape is
[tex]\begin{gathered} \text{Area of Shape=2(24)+16} \\ 48+16=64ft^2 \end{gathered}[/tex]The Square feet tile that will be used is 64 square feet
what is the area of the following Circle r=1
Area of a circle = π r^2
Where:
r = radius = 1
Replacing:
A = π (1)^2 = 3.14
Part 4 out of 6 Statements Reasons 5.mZA +mZB = mZA +mZDE 5. Division Property of Equality
Answer:
The Part 4 can be written as;
[tex]\begin{gathered} m\angle A+m\angle B=180^{\circ} \\ m\angle A+m\angle D=180^{\circ} \end{gathered}[/tex]Explanation:
From part 3;
[tex]\begin{gathered} 2m\angle A+2m\angle B=360^{\circ} \\ 2m\angle A+2m\angle D=360^{\circ} \end{gathered}[/tex]Applying the Division property of equality;
[tex]\begin{gathered} \text{If;} \\ a+b=c \\ \text{then;} \\ \frac{a}{n}+\frac{b}{n}=\frac{c}{n} \end{gathered}[/tex]Divide the equations through by 2;
[tex]\begin{gathered} 2m\angle A+2m\angle B=360^{\circ} \\ \frac{2m\angle A}{2}+\frac{2m\angle B}{2}=\frac{360^{\circ}}{2} \\ m\angle A+m\angle B=180^{\circ} \end{gathered}[/tex][tex]\begin{gathered} 2m\angle A+2m\angle D=360^{\circ} \\ \frac{2m\angle A}{2}+\frac{2m\angle D}{2}=\frac{360^{\circ}}{2} \\ m\angle A+m\angle D=180^{\circ} \end{gathered}[/tex]Therefore;
The Part 4 can be written as;
[tex]\begin{gathered} m\angle A+m\angle B=180^{\circ} \\ m\angle A+m\angle D=180^{\circ} \end{gathered}[/tex]1 pointA construction company plans to invest in a housing project. There is a 30% chance that the company will lose $200,000 a 30% chance it will lose $100,000, and a 40% chance ofa $300,000 profitBased ONLY on this information, what should the company do?O The expected value is $60,000, so the company should proceed with the project.O The expected value is $30,000, so the company should proceed with the project.The expected value is $90,000, so the company should proceed with the projectThe expected value is -$90,000, so the company should not proceed with the project.1 point0
It is given that the company has 30% chance to lose $200,000 , 30% chance to lose $100,000 and 40% chance of
a $300,000 profit.
We have to determine the expected value which is
[tex]E(x)=xP(x)[/tex]Determine the expected value using the data given in the question.
[tex]E(x)=-200,000\times0.3-0.3\times100,000+0.4\times300,000[/tex][tex]E(x)=-60,000-30,000+120,000=30,000[/tex]Graph the line: 3/4y -2x=6
Given the equation of the line:
[tex]\frac{3}{4}y-2x=6[/tex]To graph the line, we need two points lying on the line
We will graph the line with the help of the intercepts
when x = 0
[tex]\begin{gathered} \frac{3}{4}y=6 \\ y=\frac{4\cdot6}{3}=\frac{24}{3}=8 \end{gathered}[/tex]so, the y-intercept = (0, 8)
When y = 0
[tex]\begin{gathered} -2x=6 \\ x=\frac{6}{-2}=-3 \end{gathered}[/tex]So, the x-intercept = (-3, 0)
The line passes through the points (-3, 0) and (0, 8)
The graph of the line will be as shown in the following picture:
Tammy, Michael, and Aldo sent a total of 119 text messages during the weekend. Tammy sent 9 more messages than Aldo. Michael sent 3 times as many messages as Aldo. How many messages did they each send?
Tammy = x
Michael = y
Aldo = z
x + y + z = 119 Eq 1
x = z +9 Eq 2
y = 3z Eq 3
We need to solve the equation system
Substitute eq 2 in 1
z + 9 + y + z = 119
y + 2z = 110 eq 4
Then we multiply eq 3 and 4
y + 2z = 110
-y + 3z = 0
5z = 110, z =22
then eq 3 will be rewritten as
y = 3x22 = 66
Finally we do the same with eq 2.
x = 22 + 9 = 31
So
Tammy sent 31
Michael 66
Aldo 22
Simplify:(2x - 3)²A. 4x²-9OB.4x² +9OC. 4x² - 6x-9D. 4x² - 12x +9
Solution
Simplify the expression
[tex](2x-3)^2[/tex]Step 1: Open the bracket
[tex]\begin{gathered} (2x-3)^2 \\ (2x-3)(2x-3) \\ 4x^2-6x-6x+9 \end{gathered}[/tex]Step 2: Collect like terms
[tex]\begin{gathered} 4x^2-6x-6x+9 \\ 4x^2-12x+9 \end{gathered}[/tex]Therefore the correct answer is Option D
Which measure of < YOZ given that WX = YZ
ANSWER
D. 105°
EXPLANATION
Both angles YOZ and WOX are central angles that intersect two congruent arcs. Therefore, both angles have the same measure, 105°.
Solve for v:8(v-1)-4=4(2v-3)
We will have to solve the following equation:
[tex]8(v-1)-4=4(2v-3)[/tex]for the variable v. For doing so we will use the distributive property, and then we will clear out the variable.
Distributive propertyWhen we use the distributive property, we multiply each value before a parenthesis by each of the terms inside it. Like we show:
[tex]\begin{gathered} 8v-8-4=8v-12 \\ 8v-12=8v-12 \end{gathered}[/tex]Clearing out and the last stepNow, we sum a 12 to both sides of the equation, and we divide by 8 to obtain:
[tex]\begin{gathered} 8v-12+12=8v-12+12 \\ 8v+0=8v+0 \\ 8v=8v \\ v=v \end{gathered}[/tex]What does this mean?
This means that every value of v is a solution of the equation, as every value of v is equal to itself (meets the above condition).
Sarah put bean plants by a window with sunlight Sarah measured the height of the plants after 3weeks.. Do u think they measured 12 centimeters or 12 meters?
After 3 weeks, the height of the plants wouldn't have increased so much. Meters is far longer than centimeters. Thus, if the height measured measured after 3 weeks which is a short time, then the measured height should be 12 centimeters.
Express 9/25 as a terminating or repeating decimal
Using long division:
Therefore, it is a terminating decimal, and the answer is:
[tex]\frac{9}{25}=0.36[/tex]Which point does not lie on the circle with center (0,0) and radius 10? A. (6,8) B. (0, 10) C. (10,-8) O D. (-8, 6)
Answer:
C. (10, -8)
Explanation:
The equation of a circle is given as:
[tex]\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \text{Centre}=(h,k) \\ \text{Radius}=r \end{gathered}[/tex]Given a circle with centre (0,0) and radius 10, its equation is:
[tex]\begin{gathered} x^2+y^2=10^2 \\ x^2+y^2=100\ldots(1) \end{gathered}[/tex]To determine the point that does not lie on the circle, we check the point that does not satisfy the equation (1) derived above:
• Point (6,8)
[tex]\begin{gathered} x=6,y=8 \\ 6^2+8^2=100 \\ 36+64=100 \\ 100=100 \end{gathered}[/tex]• Point (0,10)
,•
• Point (10, -8)
[tex]\begin{gathered} x=10,y=-8 \\ 10^2+(-8)^2=100 \\ 100+64=100 \\ 164\neq100 \end{gathered}[/tex]It is clear that point (10,-8) does not lie on the circle since the outcome is False.
The correct choice is C.