Answer:
-1/3
Step-by-step explanation:
The slope of the line can be found by
m = (y2-y1)/(x2-x1)
= ( 7-8)/(5-2)
= -1/3
Answer:
-1/3.
Step-by-step explanation:
The slope can be found by doing the rise over the run.
In this case, the rise is 8 - 7 = 1.
The run is 2 - 5 = -3.
So, the slope is 1 / -3 = -1/3.
Hope this helps!
WILL GIVE BRIANLIEST Circle O is shown. Tangents B C and B A intersect at point B outside of the circle. The measure of the first arc formed is 146 degrees. In the diagram of circle O, what is the measure of ? 34° 45° 68° 73°
Answer: 34°
Step-by-step explanation:
The Arc formed by segment AC:
Total measure of an arc = 360°
Measure of Major arc AC = (360° - measure of minor arc)
Minor arc = 146°
THEREFORE,
Major arc AC = (360° - 146°) = 214°
A° = B° = (214° - 146°) / 2 ( tangent - tangent theorem)
Angle formed by tangent AB and BC = difference between major and minor arcs divided by 2 : (Major arc - minor arc) / 2
(214 - 146)° / 2 = 68° / 2 = 34°
The measure of ∠ABC as shown in the circle is 34°.
CircleA circle is the locus of a point such that all the points are equidistant from a fixed point known as the center.
∠OCB and ∠OAB = 90° (angle between a tangent and radius)
∠OCB + ∠OAB + ∠COA + ∠CBA = 360° (angles in a quadrilateral)
90 + 90 + 146 + ∠CBA = 360
∠CBA = 34°
The measure of ∠ABC as shown in the circle is 34°.
Find out more on Circle at: https://brainly.com/question/22965557
If a company buys coffee at a price of $5/kg and then sells it their stores for $18/kg, what is the percentage profit compared to the original cost of the coffee?
Answer:
260%
Step-by-step explanation:
For the coffee;
cost price ([tex]C_{P}[/tex]) = $5/kg
selling price ([tex]S_{P}[/tex]) = $18/kg
Percentage profit (%P) = [tex]\frac{S_P - C_P}{C_P} * 100%[/tex] %
Substitute the right values into the above;
%P = [tex]\frac{18 - 5}{5} * 100%[/tex] %
%P = [tex]\frac{13}{5} * 100%[/tex] %
%P = 260%
Therefore, the percentage profit compared to the original cost of the coffee is 260%
if x^2=20 what is the value of x will give brainliest for answer
Answer:
x² - 20 = 0
Using the quadratic formula
[tex]x = \frac{ - b± \sqrt{( {b})^{2} - 4ac } }{2a} [/tex]
a = 1 b = 0 c = -20
So we have
[tex]x = \frac{ - 0 ± \sqrt{ {0}^{2} - 4(1)( -20)} }{2(1)} \\ \\ x = \frac{± \sqrt{80} }{2} \\ \\ x = \frac{±4 \sqrt{5} }{2} \\ \\ \\ x = ±2 \sqrt{5} \\ \\ \\ x = 2 \sqrt{5} \: \: \: or \: \: \: x = - 2 \sqrt{5} [/tex]
Hope this helps you.
what is the equation of the following line (10 -2) (0 0) a. y= -5x b. -x c. y= 5x d. -1/5x e. y= x f. y= 1/5x
Answer:
Step-by-step explanation:
(0+2)/(0-10)= 2/-10 = -1/5
y - 0 = -1/5(x - 0)
y = -1/5x
solution is D
Which of the following is the product of the rational expressions shown
below?
Answer:
The answer is b
Step-by-step explanation:
since 2*9=18 and (x)(2x+3)=2x^2+3x
Answer: B
Step-by-step explanation:
In 2002, the mean expenditure for auto insurance in a certain state was $806. An insurance salesperson in this state believes that the mean expenditure for auto insurance is less today. She obtains a simple random sample of 32 auto insurance policies and determines the mean expenditure to be $781 with a standard deviation of $39.13. Is there enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance?
Answer:
No there is not enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance
Step-by-step explanation:
Sample Mean = μ1 = $806
Sample Mean = μ2 = $ 781
Standard Deviation= S= σ =39.13
n= 32
Confidence Interval = 95 %
α= 0.05
z∝=± 1.96
We state the null and alternative hypotheses as
H0: μ1 = $806 and Ha: μ1 ≠ $806 two sided tail test
z= μ1 -μ2/σ/√n
z= 806-781/ 39.13/√32
z= 806-781/ 39.13/5.6568
z=806-781/ 6.92
z= 25/6.92
z= 3.613
Z> z∝
3.613 > ± 1.96
No there is not enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance
WILL GIVE BRAINLEST ANSWER IF ANSWERED IN 24 HOURS Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 240 b = 132 c = 330
An infinite geometric series converges if the common ratio is
Answer:
a proper fraction
You have a frame that holds three pictures. You pulled out your favorite five photos. How many sets of three are there? Make a list of all the possible combinations using the numbers 1 - 5 to represent the photos. (I NEED FULL EXPLAINATION)
Answer:
10
Step-by-step explanation:
nCr = 5!/(3! × (5 - 3)!)
= 10
123/ 124/ 125/ 134/ 135/ 145/ 234/ 235/ 245/ 345
The formula for combinations is generally n! / (r! (n -- r)!), where n is the total number of possibilities to start and r is the number of selections made. In our example, we have 52 cards; therefore, n = 52.
Answer: get 2 more frames
Step-by-step explanation:
Which of the following best describes the slope of the line below?
Answer:
I think positive
Step-by-step explanation:
Answer:
zero, D
Step-by-step explanation:
a horizontal line (left to right) would be zero
a verticle line (up and down) would be undifined
Help me with these 2 questions please
Answer:
1st one= B 25 cents
2nd one= D 2 miles
Step-by-step explanation:
1.
8x3=24
6/24=25
= 25 cents
2.
1.6 km= 1 mile
so 1/2 of a mile =
0.8 km
1/4 of an hour = 15 minutes
0.8km= 15 minutes
15x3= 45 minutes
0.8km x 3= 2.4km
2.4km = 2 miles
hope it helps hunney xx
NEED HELP ON THIS ASAP WEE WOO WEE WOO
Answer:
50
Step-by-step explanation:
can u solve these asap pls
Step-by-step explanation:
1We will use the Thales theorem since ED and CB are parallel and A,D and B are in the same lign wich is the same for C,E and A
[tex]\frac{x}{12}[/tex] = [tex]\frac{2}{2+4}[/tex] [tex]\frac{x}{12}[/tex] = [tex]\frac{2}{6}[/tex] [tex]\frac{x}{12}[/tex] = [tex]\frac{1}{3}[/tex] x= [tex]\frac{12*1}{3}[/tex] x= 4 2since we have two similar sides and one similar angle between them it will be SAS similarity
Explain why a drop in temperature would lead to adding a negative integer.
Step-by-step explanation:
a drop in temperature means the temperature will decrease.
That decrease is represented with a negative integer which should be added to the previous temperature.
PLEASE ANSWER THIS ASPA Which of the following choices is equivalent to -6x > -42? x > 7 x -7 x < -7
Answer:
x < 7
Step-by-step explanation:
-6x > -42
Divide each side by -6, remembering to flip the inequality
-6x/-6 < -42/-6
x < 7
Answer:
[tex]\boxed{x<7}[/tex]
Step-by-step explanation:
[tex]-6x > -42[/tex]
Divide both sides by -6 (flip sign).
[tex]\displaystyle \frac{-6x}{-6} < \frac{-42}{-6}[/tex]
[tex]x<7[/tex]
An arithmetic sequence grows
A. at a constant percentage rate
B. linearly
C. quadratically
D. exponentially
Please answer it now in two minutes
Answer:
Remember to round!
Angle EFB is 108º a)Find the size of angle x. b) which one of these justifies your answer? A-corresponding angles B- Alternate angles C- vertically opposite angles
Answer:
a) x° = 108°
b) vertically opposite angles (C) justifies my answer.
Answer:
The answer is option c.
Its an vertically opposite angle because when two lines intersect eachother then theangles formed opposite to it is called v.o.a (vertically opposite angle)
Hope it helps...
Below are the data collected from two random samples of 100 members of a large travel club regarding the type of vacation they prefer. Sample Adventure Beach Cruise Ski A 6 5 70 19 B 1 6 72 21 Which of the following inferences can be made based on the data? -Most members per for a beach vacation -most members prefer an adventure vacation -more members prefer an adventure vacation and a ski vacation than a cruise vacation -more people prefer a beach vacation and a ski vacation then an adventure vacation
Answer:
The correct option is;
More people prefer a beach vacation and a ski vacation than an adventure vacation
Step-by-step explanation:
From the data in the sample;
Table of values, Sample
Vacation, A B
Adventure, 6 1
Beach, 5 6
Cruise, 70 72
Ski, 19 21
Total, 100 100
Therefore, we have that each member made or selected only on vaction option which gives;
The number of members that prefer a beach vacation and a ski vacation are;
Sample A = 5 + 19 = 24 members
Sample B = 6 + 21 = 27 members
The number of members that prefer an adventure vacation are;
Sample A = 6 members
Sample B = 1 members
Which shows that more people prefer a beach vacation and a ski vacation than an adventure vacation.
Answer:
The correct option is;
More people prefer a beach vacation and a ski vacation than an adventure vacation
Step-by-step explanation:
I just did the quiz .
Can somebody please answer as many as possible?
Please and thankyou!
A quadrilateral is 360 degrees
I cant make a shape for any! Please help!
Answer:
Simply subtract the sum of the the three angles given from 360° in order to get the measure of the fourth angle!
Step-by-step explanation:
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.
Answer:
84 squared units.
Step-by-step explanation:
In order to find the surface area of the pyramid, you use the following formula:
[tex]S=b^2+\frac{1}{2}ps[/tex] (1)
b: base of the pyramid = 6
p: perimeter of the base = 6*4 = 24
s: slant height
Then, you first calculate the slant height, by using the Pythagoras' theorem:
[tex]s=\sqrt{(5)^2-(\frac{6}{2})^2}=4[/tex]
Thus, you replace the values of b, p and s in the equation (1):
[tex]S=(6)^2+\frac{1}{2}(24)(4)=84[/tex]
The surface area of the pyramid is 84 squared units.
Answer:
Step-by-step explanation:
wrong
(x+1)(x-2)=0
Solve the quadratic equation using factoring
Answer:
x= -1 or x= 2
Step-by-step explanation:
(x+1)(x-2) = 0x+1 = 0 or x-2=0 x = -1 or x = 2Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car. Use α = 5% to hand calculate and check your work in SPSS.
Compact Cars Midsize Cars Full-Size Cars
6 4 9
6 4 8
7 5 5
Answer:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
Step-by-step explanation:
A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.
In this case we need to test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car.
So, a one-way ANOVA would be used.
The hypothesis can be defined as follows:
H₀: There is no difference between the means, i.e. [tex]\mu_{1}=\mu_{2}=\mu_{3}[/tex]
Hₐ: There is a significant difference between the means, i.e. at least one of the mean is different.
Use MS-Excel to perform the ANOVA test.
Go to Data – Data Analysis – Anova: Single Factor
Enter the data and enter Alpha as 0.05.
Press OK.
The output is attached below.
The F-test statistic value is, F = 5.143.
The p-value of the test is, p-value = 0.072.
Decision Rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
p-value = 0.072 > α = 0.05
The null hypothesis will not be rejected.
Conclusion:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
Choose the best estimate for the multiplication problem below.
82.17
7.32
X
A. 560
B. 860
C. 420
Hey there!
We see that the first factor is 82.17, which is about 80. Then, we have 7.32, which is about 7.
80 times 7 is just doing 8 times 7 but putting a zero on the end!
So, 80 times 7 is 560, so our best estimate is A.560
Have a wonderful day!
(4x + 7)ºX[5(x – 4)]°
What is the Value of X?
Answer:
x = 27°Step-by-step explanation:
From the question ( 4x + 7)° and [5(x - 4)]° are vertically opposite
Since vertically opposite angles are equal we can equate them to find x
That's
4x + 7 = 5(x - 4)
4x + 7 = 5x - 20
Group like terms
5x - 4x = 20 + 7
x = 27°Hope this helps you
Find the coordinates for the equation.
{y=-x^2+5
{-x+y=3
Answer:
I hope you will get help from these...
Un estanque tiene 13/2 litros de leche y se le agregan 87/10. ¿Cuánta leche quedó en el estanque? ¿Sí en el estanque caben 65/4 litros, cuántos litros más se pueden agregar?
A square has diagonals of length 10 cm. Find the sides of the square
Answer:
5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The diagonal divides the square into 2 right triangles.
let s be the side of the square with the diagonal being the hypotenuse.
Applying Pythagoras' identity to one right triangle, gives
s² + s² = 10² , that is
2s² = 100 ( divide both sides by 2 )
s² = 50 ( take the square root of both sides )
s = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex]
A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed below, includes information they have either researched or measured. They need to build a tunnel from the point E to the point H on the sketch. Calculate the distance from E to H. When similar triangles are used, explain how you know they represent similar triangles before performing the calculation.
Answer:
498 m
Step-by-step explanation:
The AAA theorem states that triangles are similar if all three corresponding angles are equal.
1. Compare triangles FHS and ILS
(a) Reason for similarity
∠F = ∠I = 90°
∠S is common.
∴ ∠H = ∠L
(b) Calculate SL
[tex]\begin{array}{rcl}\dfrac{SF}{SH} & = & \dfrac{SI}{SL}\\\\\dfrac{225}{380} & = & \dfrac{225 + 475}{SL}\\\\225SL & = & 380 \times 700\\& = & 266000\\SL & = & \textbf{1182 m}\\\end{array}[/tex]
2. Compare triangles ILS and GLE
(a) Reason for similarity
∠I = ∠G = 90°
∠L is common.
∴ ∠S = ∠E
(b) Calculate LE
[tex]\begin{array}{rcl}\dfrac{IS}{GE} & = & \dfrac{LS}{LE}\\\\\dfrac{700}{180} & = & \dfrac{1182}{LE}\\\\700LE & = & 180 \times 1182\\& = & 212800\\LE & = & \textbf{304.0 m}\\\end{array}[/tex]
3. Calculate EH
LE + EH + HS = LS
304.0 m + EH + 380 m = 1182 m
EH + 684 m = 1182 m
EH = 498 m
The distance from E to H is 498 m.
I need this answered in ONE minute
Place the indicated product in the proper location on the grid. Write your answer in descending powers of x. (x^ 2 + 3x + 1)(x^2 + x + 2)
Answer:
[tex]x^4 + 4x^3 + 6x^2 + 7x + 2[/tex]
Step-by-step explanation:
We are asked to multiply the given polynomials.
[tex](x^ 2 + 3x + 1) \times (x^2 + x + 2)[/tex]
Multiply each term of the first polynomial to each term of the second polynomial.
[tex]x^ 2 \times (x^2 + x + 2) = x^4 + x^3 + 2x^2[/tex]
[tex]3x \times (x^2 + x + 2) = 3x^3 + 3x^2 + 6x[/tex]
[tex]1 \times (x^2 + x + 2) = x^2 + x + 2[/tex]
Add the results
[tex](x^4 + x^3 + 2x^2) + (3x^3 + 3x^2 + 6x) + ( x^2 + x + 2)[/tex]
Combine the like terms
[tex]x^4 + 4x^3 + 6x^2 + 7x + 2[/tex]
The answer is written in descending powers of x.