Answer:
(-4.58, -2)
Step-by-step explanation:
[tex]\theta $ is in between \pi$ and $\frac{3\pi}{2}$ radians \\Therefore, \theta$ is in Quadrant III\\If \csc \theta = -\dfrac{5}{2}$ and cosec \theta = \dfrac{Hypotenuse}{Opposite} \\ $Therefore:\\Hypotenuse = 5\\Opposite $=-2[/tex]
Using Pythagoras Theorem
[tex]5^2=(-2)^2+ x^2\\25=4+x^2\\x^2=21\\x=\sqrt{21} \approx 4.58[/tex]
Since the angle is in the third Quadrant, Adjacent = -4.58.
Therefore, the coordinates of P(x,y) is (-4.58, -2)
Answer: a
Step-by-step explanation: edge 2021
find the vertex of this function and decide if it is a maximum or a minimum point.
Answer: maximum point at (-3, 2)
Step-by-step explanation:
The vertex is either the highest or lowest point in the graph. You can see on that graph that the vertex is (-3, 2) because it the x-value -3 points from 0, and the y-value is 2 points from 0. You can also see that the vertex is the highest point on the graph because no points are above it, so it is the maximum value.
What is the value of x? 10 PTS
Answer:
X=4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
We can find the length of the hypotenuse of the 45 45 90 triangle using the other triangle (which is 30 60 90)
Since the hypotenuse is 8[tex]\sqrt{2}[/tex], the short leg (hypotenuse of other triangle) will be 4[tex]\sqrt{2}[/tex]
This means the value of x must be 4
14. Suppose that 1 out of every 10,000 doctors in a certain region is infected with the SARS virus; in the same region, 20 out of every 100 people in a particular at-risk population also are infected with the virus. A test for the virus gives a positive result in 99% of those who are infected and in 1% of those who are not infected. A randomly selected doctor and a randomly selected person in the at-risk population in this region both test positive for the disease. Who is more likely to actually have the disease?
Answer:
The person in the at-risk population is much more likely to actually have the disease
Step-by-step explanation:
The probability of a randomly selected doctor having the disease is 1 in 1,000 (P(I)=0.0001).
The probability that a doctor is infected with SARS, given that they tested positive is:
[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.0001*0.99}{0.0001*0.99+(1-0.0001)*0.01}\\P(I|+)=9.9*10^{-3}[/tex]
The probability of a randomly selected person from the at-risk population having the disease is 20 in 100 (P(I)=0.20).
The probability that a person in the at-risk population is infected with SARS, given that they tested positive is:
[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.2*0.99}{0.2*0.99+(1-0.2)*0.01}\\P(I|+)=0.962[/tex]
Therefore, the person in the at-risk population is much more likely to actually have the disease
PLEASE HELP me ! I NEED HELP
Answer:
Step-by-step explanation:
Let x = the number of 50-cent increases in the cost of a book rental.
Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:
$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.
The number of rentals is:
38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.
(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:
-2x² + 7x + 114
Shelly biked 21 miles in 4 hours. What is shelly's average speak in miles per hour? What is shelly's average speed in miles per hour?
Answer:
5 1/4 mph
Step-by-step explanation:
21 divided by 4= 5 1/4
Answer:
Average Speed = 5.25 mph
Step-by-step explanation:
Given:
Distance = 21 miles
Time = 4 hours
Required:
Average Speed
Formula:
Average Speed = Total Distance Covered / Total Time Taken
Solution:
Average Speed = 21/4
Average Speed = 5.25 mph
Some red, white, and blue candies were placed in a bowl. Some contain nuts,
and some do not. Suppose one of the candies were chosen randomly from all
the candies in the bowl. According to the table below, if the candy is blue,
what is the probability that it does not contain any nuts?
Answer:
20%
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
what is the value of y?
please help !!
Answer 1 of the 2 questions in this picture in the next 5 min I’ll give you a lot of points please and thank you!
Answer:
B=264 b5/34 a576 5739 7985
7/5 x -3/12 + 7/6 + 7/5 x 1/4
Answer:
7/6 or 1.166666667
Step-by-step explanation:
I solved it on calculator
To 1 d.p 1.2
Answer:
7/6
Step-by-step explanation:
7/5 × -3/12 + 7/6 + 7/5 × 1/4
Multiply first.
-21/60 + 7/6 + 7/20
Find the common LCM of the fractions.
-21/60 + 70/60 + 21/60
Add the fractions.
(-21+70+21)/60
-21 and 21 cancels.
70/60
Simplify.
7/6
What is the factorization of 729x15 + 1000?
Answer:
A
Step-by-step explanation:
Decode the addition or subtraction problem (Change asterisks to digits, to make the operations correct.) 6*5* − *8*4=2856
Answer:
[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]
Step-by-step explanation:
[tex]\left\begin{array}{ccccc}&6&*&5&*\\-&*&8&*&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]
10-4=6Therefore the last digit of 6*5* is 0.
[(5-1)+10]-5=98+8+1=176-(1+2)=3Therefore:
[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]
Calvin evaluated Negative two-thirds times 5 and one-sixth using the steps below. Step 1: Negative two-thirds time (5 + one-sixth) Step 2: (Negative two-thirds + 5) times (Negative two-thirds + one-sixth) Step 3: 4 and one-third times negative one-half Step 4: Negative 2 and one-sixth Which describes Calvin’s error? In step 1, he incorrectly broke up 5 and one-sixth. In step 2, he distributed the Negative two-thirds instead of the 5. In step 2, he confused the multiplication and addition signs. In step 3, he computed the addition and multiplication incorrectly.
Answer:
In step 2, he confused the multiplication and addition signs
Step-by-step explanation:
Answer:
In step 2, he confused the multiplication and addition signs.
Step-by-step explanation:
2x-6+17=9
Explain the answer and why plz
Answer: x = -1
Step-by-step explanation:
2x - 6 + 17 = 9
Subtract 17 from both sides
2x - 6 = -8
Add 6 to both sides
2x = -2
Divide by 2 on each side
x = -1
April has only consumed one glass of wine, so her body isn't affected by the alcohol because short-term effects only begin with the second drink. Please select the best answer from the choices provided. T F
ANSWER: False
This is false because alcohol can have effect as soon as the first drink, depending on the type of person you are.
For example, if your parents drank, and you were born early (a preemie) this can affect your ability to drink.
Hope this helps! ^^
Answer:
False
Step-by-step explanation:
Loooook above
In how many ways can the letters in a word spoon be arranged?
What is the y-intercept of the graph below?
Answer:
C
Step-by-step explanation:
The y-intercept is where the line passes through the y-axis
On this graph, we can see this is at the point (0, 2)
Answer:
(0,2)
Step-by-step explanation:
The y intercept is where the graph crosses the y axis ( where x =0)
The graph crosses at y=2
(0,2)
Are the mean, median and mode of a list of numbers equal or no? Please explain!
Answer:
nope!
Step-by-step explanation:
mean= average, total of numbers/ amount of numbers
median- if all the numbers were in a line what would be in the middle
mode-most reoccuring number- remember it cos it rhymes with most :)
hope this helps :)
can u pls give brainliest? :)
Answer:
No
Step-by-step explanation:
when you have a list of numbers:
The mean is all of the numbers added up and then divided by the number of numbers.
The median is "the middle number" So line them up in numerical order and find the middle number.
The Mode is the biggest number subtracted from the smallest number.
Find the area of the circle.
Use 3.14 for pi
Answer:
A =153.86 cm^2
Step-by-step explanation:
The diameter is 14 so the radius is d/2 = 14/2 = 7
A = pi r^2
A = (3.14) (7)^2
A =153.86 cm^2
Answer:
Step-by-step explanation:
First you take the diameter and cut it in half to find the radius. 14/2 = 7
Next you times the radius to the power of 2. 7^2= 49
Then you times your answer by 3.14. 49*3.14 = 153.86
153.86cm² is your answer
Um comerciante comprou uma caixa de um determinado produto, teve um custo fixo com transporte de
R$ 200,00. Venderá cada unidade por R$ 25,00, o lucro final será dado em função das x unidades vendidas. Sabendo que Lucro = venda - custo Responda:
a) Qual é a lei dessa função f?
b) Se o comerciante vender 1 unidade desse produto terá lucro ou prejuízo? c) Se o comerciante vender 10 unidades desse produto terá lucro ou prejuízo?
d) Se o comerciante vender 25 unidades desse produto terá lucro ou prejuízo?
A resposta é B, Não há de quê
Factor completely 9x2 + 42x + 49
Answer:
(3x + 7)²
Step-by-step explanation:
You can either factor it by GCF or guess and check. The question you should be asking when you try to factor is"What multiplies to 49 and adds up to 42 with coefficients 3 in front of the x?" When you answer this question, you should think of 7 and 7. You then put it in binomial form and you have your answer.
Answer: (3x + 7)^2
Step-by-step explanation:
9x^2 + 42x + 49
3^2x^2 + 2 * 3x * 7 + 7^2
3x^2 + 2 * 3x * 7 + 7^2
(3x + 7)^2
Which expression is equivalent to 9 p minus 3 p + 2? 8p
Answer:
6p - 2
Step-by-step explanation:
9p - (3p + 2) = 9p - 3p - 2 = 6p - 2
The expression that is equivalent to 9 p minus 3 p + 2 is 6p - 2
What is the expressionFrom the question, one have 9p - 3p + 2.
So, one has to combine the like terms, which means adding or subtracting the coefficients of the same variable. For the terms with 'p', one have 9p - 3p.
Combining the coefficients, one get 9 - 3 = 6.
So, 9p - 3p is simplifies to 6p.
So, one have 6p + 2.
The expression is said to be now simplified to 6p + 2.
Learn more about expression from
https://brainly.com/question/1859113
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Reflect shape A in the line x=-1
Coordinates for the shape:
(-3,-2), (-5,-2), (-5,-3), (-4,-3), (-4,-4), (-3,-4)
Answer in in Image.
Reflection of shape:
Reflection is a type of transformation. To reflect an object, you need a mirror line. When a shape is reflected, its size does not change - the image just appears 'flipped'. Every point on the shape is the same distance away on the other side of the mirror line.
Here, After reflection, the reflected shape coordinates are:
(-3,-2), (-5,-2), (-5,-3), (-4,-3), (-4,-4), (-3,-4).
Learn more about reflection of diagrams here:
https://brainly.com/question/12757305?referrer=searchResults
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(07.06 MC) What is the solution to the equation 1.2m − 0.8 = −2.0m? m = 0.25 m = 0.4 m = 1 m = 4
Answer:
m = 0.25
Step-by-step explanation:
-0.8 = -3.2m
m = 0.25
Answer:
0.25 :)
Step-by-step explanation:
Which of the following are like radicals? Check all of the boxes that apply.
Answer:
3x√x²y, –12x√x²y, x√yx², 2√x²y.
Step-by-step explanation:
Data obtained from the question include:
3x√x²y, –12x√x²y, –2x√xy², x√yx²,
–x√x²y², 2√x²y
Like radical in this case talks about those havin the same entity in the square root.
With a careful consideration of the data obtained from the question, the like radicals are:
3x√x²y, –12x√x²y, x√yx², 2√x²y.
Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are [tex]3x\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex] and [tex]2\sqrt{x^2y}[/tex].
Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are:
A) [tex]3x\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
B) [tex]-12\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
C) [tex]-2x\sqrt{xy^2}[/tex]
This is not the like radical with the entity [tex]xy^2[/tex] inside the square root.
D) [tex]-12\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
E) [tex]-x\sqrt{x^2y^2}[/tex]
This is not the like radical with the entity [tex]x^2y^2[/tex] inside the square root.
F) [tex]2\sqrt{x^2y}[/tex]
This is like radical with the entity [tex]x^2y[/tex] inside the square root.
So, the correct options are A), B), D), and F).
For more information, refer to the link given below:
https://brainly.com/question/16181471
David and Eric went out to dinner. Their total bill was $45. They added 20% gratuity to the bill. If they split the bill in half, how much did each person spend?
1) Write an equation/expression for the word problem.
2) How much did each person spend?
Answer:
1)(45x 1.2) /2
2) $27 each
Step-by-step explanation:
Hi, to answer this question we have to multiply the initial bill amount by the gratuity percentage in decimal form (divided by 100)
45 x (20/100) = 45 x 0.2= $9
Now, we have to add the tip amount (9) to the initial bill amount
45+9= $54 (total bill amount with tip)
(We could obtain the same result if we multiply the initial bill amount by 1.2)
Finally, we have to divide the final bill amount by 2:
54/2 = $27 each
1) (45x 1.2) /2
2) $27 each
Feel free to ask for more if needed or if you did not understand something.
7^8 ÷ 7^y = 7^6 Find the value of y
Answer:
[tex]\boxed{\df \ \ \ y = 2 \ \ \ }[/tex]
Step-by-step explanation:
We need to solve the following
[tex]\dfrac{7^8}{7^y}=7^6[/tex]
that we can write
[tex]\dfrac{7^8}{7^y}=7^8*7^{-y}=7^{8-y}=7^6\\<=> 8-y = 6\\<=> y=8-6=2[/tex]
so the answer is 2
Answer:
[tex]y=2[/tex]
Step-by-step explanation:
[tex]7^8 \div 7^y = 7^6[/tex]
Apply the law of exponents.
[tex]7^{8-y}= 7^6[/tex]
Cancel the same bases.
[tex]8-y=6[/tex]
Subtract 8 on both sides.
[tex]-y=6-8[/tex]
[tex]-y=-2[/tex]
Cancel negative signs.
[tex]y=2[/tex]
A bakery's production is modeled by function f(x), where f(x) is the number of donuts made in a day and x is the number of bags of flour needed. Choose the ordered pair that represents a possible domain and range of the function.
(−1, 15)
(5, 92.75)
(10, 100)
(−5, 110.5)
PLZ ANSWER ASAP 20 POINTSTriangle ABC has AB=18, AC=24, BC=27. Point M is the midpoint of AC, and point N is on segment AB so that BN=2. What is the length of MN? PLZ ANSWER ASAP PLZ 20 POINTS
Answer:
Step-by-step explanation:
I WILL MARK YOU BRAINLIEST!!!!
Convert 28 ounces to pounds. Express your answer in simplest form. a. 2 1/4 pounds b. 1 12/16 pounds c. 1 4/7 pounds d. 1 3/4 pounds
Answer:
1.75 pounds
Step-by-step explanation:
28 divided by 16 = 1.75!
Hope it helps!
Answer:
1.75 pounds or 1 3/4 pounds
Step-by-step explanation:
28/16 = 1.75