Answer:
[tex]common \: difference \: decreases \: by \: 1\\ next \: term = 4 - 1 \\ = 3[/tex]
If cosec theta-cot theta is equal to 1/M then what is the value of cosec theta +cot theta
Given:
[tex]\text{cosec}\theta -\cot \theta =\dfrac{1}{M}[/tex]
To find:
The value of [tex]\text{cosec}\theta +\cot \theta [/tex].
Solution:
We have,
[tex]\text{cosec}\theta -\cot \theta =\dfrac{1}{M}[/tex]
We know that,
[tex]\text{cosec}^2\theta -\cot^2 \theta=1[/tex]
It can be written as:
[tex](\text{cosec}\theta -\cot \theta)(\text{cosec}\theta +\cot \theta)=1[/tex]
[tex]\dfrac{1}{M}\times (\text{cosec}\theta +\cot \theta)=1[/tex]
[tex]\text{cosec}\theta +\cot \theta=1\times M[/tex]
[tex]\text{cosec}\theta +\cot \theta=M[/tex]
Therefore, the value of [tex]\text{cosec}\theta +\cot \theta [/tex] is [tex]M[/tex].
3. Marissa owes her parents
money for her car. She paid
them $163 for 24 months
until she finished paying her
debt. Which integer
represents how much
money she owed her
| parents?
A basket contains red, green, and yellow peppers. A pepper is
selected at random. If P(red) = and Pſyellow) = 1 what
is P(green)?
Using the expression 4y + 18, identify the following:
1. variable
2) coefficient
3) constant
Answer:
The variable is y
The coefficient is 4
The constant is 18
Answer:
1. y
2. 4
3. 18
..............
3 divided by ?/9 = 5 2/5
show your work
Answer:
5
Step-by-step explanation:
3/(x/9)=5 2/5
5 2/5=27/5
(3/1)(9/x)=27/5
27/x=27/5
x=5
A triangle has sides with lengths of 9 feet, 14 feet, and 15 feet. Is it a right triangle?
Answer:
No its not, because if you use the pythagorean theorem formula 9 and 14 will not equal 15. So it wouldn't make it a right triangle.
A jar contains 25 gray, 7 pink, and 22 orange marbles. A marble is drawn at random.
P(not gray).
Answer:
25 grays, 7 pink, 22 orange
total marbles- 54
marbles that are not grey- 29
P(not grey): 29/54
What is the value of the following expression when x = 4, 7x + 6(3x-8)
Answer:
52
Step-by-step explanation:
1) 7x + 6(3x-8)
2) 7(4) + 6(3(4)-8)
3) 28 + 6(12-8)
4) 28 + 6(4)
5) 28 + 24
6) 52
Help
Construct a problem that is written in exponent form then explain the steps to converting a problem from exponent to radical form.
Step-by-step explanation:
Radicals and fractional exponents are alternate ways of expressing the same thing. ... These examples help us model a relationship between radicals and rational ... Problem. Write as an expression with a rational exponent. The radical form can be ... Change the expression with the rational exponent back to radical form.
Hi there! I have a math problem I need help on: A recipe calls for 1 teaspoon of cinnamon. You only have a 1/2 teaspoon measuring spoon. What fraction of a teaspoon of cinnamon, in halves, do you need? Please include the answer in your reply, and please don't go off-topic.
You need 2 half-teaspoons, since
1/2 tsp + 1/2 tsp = (1 + 1)/2 tsp = 2/2 tsp = 1 tsp
suppose the following system of equations has a solution of (9,-5)), where A, B,C, D, E, and F are real numbers
Ax + By =C
Dx + Ey =F
Which systems are also guaranteed to have a solution of (9,-5)? Select all that apply.
.......
Any system of equations that can be written in this form with real coefficients A, B, C, D, E, and F will have a solution of (9,-5).
What is a system of equation?If the system of equations has a solution of (9,-5), then we can substitute x = 9 and y = -5 into the equations and verify that they are true:
A(9) + B(-5) = C
D(9) + E(-5) = F
Simplifying these equations, we get:
9A - 5B = C
9D - 5E = F
So, any system of equations that can be written in this form will also have a solution of (9,-5):
9A - 5B = C
9D - 5E = F
Therefore, any system of equations that can be written in this form with real coefficients A, B, C, D, E, and F will have a solution of (9,-5).
To know more about the system of equations follow
https://brainly.com/question/31505340
#SPJ2
find z. explain please
Answer:
13
Step-by-step explanation:
You need to use pythagorean theorem (a^2 + b^2 = c^2). In this case 5 is a, 12 is b, and z is c. 5^2 + 12^2 = z^2, this ends up as 169 = z^2. Now you find the square root of 169 which is 13.
Step-by-step explanation:
Maybe it is root 5²time 12²=60
BRAINILIEST PLEASEUse the long division method to find the result when 6x^3 + 25x^2+ 18x + 14 is
divided by 2x + 7.
The worlds largest flower, the Rafflesia, has a circumference of 286 centimeters. Find the approximate diameter of the flower. Use 3.14 for pie. Round to the nearest hundredth if necessary.
Given:
The worlds largest flower, the Rafflesia, has a circumference of 286 centimeters.
To find:
The diameter of the flower.
Solution:
We know that, the circumference of a circle is:
[tex]C=2\pi r[/tex]
Where, r is the radius.
[tex]C=(2r)\pi [/tex]
[tex]C=d\pi [/tex] [tex][\because 2r=d][/tex]
Where, d is the diameter.
Putting [tex]C=286, \pi=3.14[/tex] in the above formula, we get
[tex]286=d(3.14)[/tex]
[tex]\dfrac{286}{3.14}=d[/tex]
[tex]91.0828=d[/tex]
[tex]d\approx 91.08[/tex]
Therefore, the diameter of the flower is about 91.08 centimeters.
What is the equation of the line that passes through the point (1,5) and it parallel to the line 2x + y = 10?
Answer:
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
5
,
0
)
y-intercept(s):
(
0
,
10
)
Step-by-step explanation:
hope it helps make brainlliest ty
Prove algebraically that the square of any number is always 1 more than a multiple of 8
Answer:
This is interesting but I don't think it's provable (unless it's just the square of odd numbers).
3² = 9, which is 1 more than a multiple of 8 (8)
4² = 16, which is not 1 more than a multiple of 8 (8)
5² = 25, which is 1 more than a multiple of 8 (24)
6² = 36, which is not 1 more than a multiple of 8 (32)
7² = 49, which is 1 more than a multiple of 8 (48)
8² = 64, which is not 1 more than a multiple of 8 (64)
9² = 81, which is 1 more than a multiple of 8 (80)
10² = 100, which is not 1 more than a multiple of 8 (96)
image below plz help god bless you
Answer:
The answer will be D!
Step-by-step explanation:
First, let's find the value of X:
2x + 4x + 3x = 81
9x = 81
x = 9
Then, multiply it by the biggest side which is 4:
9 x 4 = 36
Find the percent of change.
Round to the nearest percent.
Original: 58
New: 152
Include a percent sign in your answer.
Enter
Answer:
162.069%
Step-by-step explanation:
What are the resulting coordinates of triangle J′K′L after reflecting triangle JKL across the x-axis?
Answer:
J: (-3,1) K: (4,2) L: (3,-4)
Step-by-step explanation:
Daniella flipped a coin and spun a spinner that is divided into four equal-size sectors colored red, yellow, green, and orange. Write the sample space of all the possible outcomes.
here are 8 different possible outcomes in the sample space. There are 2 outcomes for the coins, heads and tails. And 4 colors for the spinner.
If you put them together, you have:
H - R
H - G
H - Y
H - O
T - T
T - G
T - Y
T - O
The right rectangular prisms are similar. The bigger prism has a length of 2.2, width of .8, and height of 3.2. The smaller prism has a length of 1.1, width of .4, and height of 1.6.
Which statements are correct? Check all that apply.
- The angles in the smaller prism measure 90 degrees.
- The perimeter of the rectangular bases changes by a factor of 2.
- The surface area changes by a factor of 8.
- The larger prism has twice the volume of the smaller prism.
- The area of the rectangular bases changes by a factor of 4.
Answer:
The angles in the smaller prism measure 90 degrees.
The perimeter of the rectangular bases changes by a factor of 2.
The area of the rectangular bases changes by a factor of 4.
Step-by-step explanation:
Two polygons are said to be similar if they have the same shape and angles. Also, the ratio of their corresponding sides are to be in the same proportion.
A) Since the two prism are similar, therefore they are to have the same angle measure. The bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.
B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6
Perimeter of smaller prism base = 2(1.1 + 0.4) = 3
Hence, The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).
C) Surface area of bigger prism = 2(2.2*0.8 + 3.2*0.8 + 3.2*2.2) = 22.72
Surface area of smaller prism = 2(1.1*0.4 + 1.6*0.4 + 1.6*1.1) = 5.68
22.72 / 5.68 ≠ 8, hence the surface area does not change by a factor of 8
Option C is wrong
D) Volume of bigger prism = 3.2 * 2.2 * 0.8 = 5.632
Volume of smaller prism = 0.4 * 1.6 * 1.1 = 0.704
The volume of larger prism is not twice of the smaller prism (5.732 / 0.704 ≠ 2)
E) Area of bigger prism base = 2.2*0.8 = 1.76
Area of smaller prism base = 2.2*0.8 = 0.44
Since 1.76 / 0.44 = 4; The area of the rectangular bases changes by a factor of 4
(X-3)(2x^2+3x-4) please solve
Answer: Simplify your answer will be 2x^2 X + 3xX - 6x^2 - 4X _ 9x + 12
Step-by-step explanation: Multiply each term in the first expression by each term in the second expression and combine like terms.
Answer:
2x³ - 3x² - 13x + 12
Step-by-step explanation:
If you're looking for the simplified answer there it is! If you need help evaluating I'd love to help!
(45 points)
(1) It takes 4 eggs for 5 waffles. How many more waffles can 6 eggs make?
(2) A 1-lb. mix will make 32 biscuits. How many ounces of mix are needed for 24 biscuits?
I NEED THIS ASAP!
Answer:
1). 6 eggs = 7.5 waffles 2). 8 ounces for 24 biscuits
Step-by-step explanation:
Please help ????? Just the bottom question
Answer:
144
Step-by-step explanation:
We can see that every 2 boxes has 24 peaches in it. That means that every single box would have 12 in it. Then it is just simple multiplication from there. 12 * 12 = 144.
Hope that this helps!
Question 3
The population of a sample of bacteria triples every minute. If the initial population of the sample is 2 bacteria, Nicholas believes
the equation p-2(3)' can be used to find the total population after t minutes,
=
Is Nicholas correct? If not, why not?
a.No, Nicholas switched the initial population and the rate. The equation should be P - 3(2)'
b.No, Nicholas should have wrrtten a linear equation. The equation should be P - 2+ 31
c.Yes, Nicholas is correct.
Answer:
C. Yes nicholas is right.
whats the number of outcomes?
Answer:
Chocolate andstrawberryHelp? 2/7 done! We got this! I tried myself and I got a decimal ♀️
James is reading a book and noticed the page numbers are consecutive integers whose product is 1640. What is the value of the larger page number?
Answer:
41
Step-by-step explanation:
A pair of consecutive numbers is written as: N and N + 1
(where the larger page number is N + 1)
And we know that the product of these numbers is 1640.
Then:
(N)*(N + 1) = 1640
Solving for N, we get:
N^2 + N = 1640
N^2 + N - 1640 = 0
This is a quadratic equation, remember that for a general quadratic equation:
a*x^2 + b*x + c = 0
The solutions are:
[tex]x = \frac{-b\pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
In our case, the solutions are:
[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]
Then the two solutions are:
N = (-1 + 81)/2 = 40
N = (-1 - 81)/2 = -41
Because N represents the number on a page, it only can be a positive value, then we take the positive solution.
Then the two consecutive numbers, N and N + 1
are:
N = 40
N + 1 = 41
The value of the larger page number is 41.
Can someone answer this please
Answer:
x=7
Step-by-step explanation:
8x-5y=16
8x-40=16
8x=56
x=7
Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Nelson owes $950
Answer:
950, 1121.00, 1322.78, 1,560.88, 1,841.84
Step-by-step explanation:
Calculation to determine the sequences that describes his increasing monthly balance
Based on the information given in order for us to determine the sequence we have to multiply the amount owes by the interest rate and then add back the answer you got to the previous amount you multiplied the interest rate to.
First sequence will be the amount he owes on a credit which is $950
Second sequence
950 * .018 = 171.00
950 + 171.00 = 1121.00
Third sequence
1121.00 * .018 = 201.78
1121.00 + 201.78 = 1322.78
Fourth sequence
1322.78*0.18=238.10
1322.78+238.10=1,560.88
Last sequence
1,560.88*0.18=280.96
1,560.88+280.96=1,841.84
Therefore the sequences that describes his increasing monthly balance are:
950, 1121.00, 1322.78, 1,560.88, 1,841.84