Answer:
L.H.S.3sin²x-2cos²x3sin²x-2(1-sin²x)3sin²x-2+2sin²x5sin²x-2R.H.S provedStep-by-step explanation:
Note:
we have
sin²x+cos²x=1
replacing it
cos²x=1-sin²x
[as we need sin on right hand side.]
CAN SOMEONE HELP ME!
Answer:
26
Step-by-step explanation:
5 × 4 = 20 (rectangle)
8-5 = 3 (triangle)
3×4÷2 = 6
20+6 = 26
what is it called when the vertex is the lowest value of the parabola
Answer:
a Minimum
Step-by-step explanation:
Using the diagram below l, if angle P is 78 degrees and arc CB is 46, find arc AC
Answer:
arc AC = 202°
Step-by-step explanation:
Based on the tangent-angle secant rule, the angle formed outside a circle by a secant and a tangent is equal to one-half the difference between the far arc and the near arc.
Thus:
m<P = ½(arc AC - arc CB)
Substitute
78° = ½(arc AC - 46°)
Multiply both sides by 2
2*78 = arc AC - 46
156 = arc AC - 46
Add 46 to both sides
156 + 46 = arc AC
202° = arc AC
arc AC = 202°
Lines AB and CD are perpendicular to each other. If 3 measures (4x + 4)°, and 4 measures 26°, what is the value of x?
Please justify your answer, I really don't understand it.
9514 1404 393
Answer:
A x = 15
Step-by-step explanation:
Lines AB and CD being perpendicular means the angles where they meet are all 90°. The diagonal line divides two of those 90° angles into two parts (each). The whole (90°) is the sum of the parts into which the angle has been divided.
The sum of angles 3 and 4 is 90°. Once you understand this relationship, you can write an equation based on the relationship. The equation can be solved in the usual way.
(4x +4)° +26° = 90°
4x = 60 . . . . . . . . . . . . divide by °, subtract 30
x = 15 . . . . . . . . . . divide by 4
What are the zeros of the function defined by 2x^2-50
Answer:
[tex]2x^2 - 50 = 0 \\\\2(x^2 - 25) = 0\\\\(x^2 -5^2 ) = 0\\\\(x-5)(x+5) = 0\\\\x = 5, -5[/tex]
What is the answer to that
Answer:
can you show me the picture? I will edit my answer if you show me full picture
Step-by-step explanation:
please help!!!!
ignore the writing -_-
Answer:
Haha once again 1200 and 8.5 are the answers
Does anyone know how to do probability good?
Answer:
Yes, I can help you for free if you help me on some of my questions
Step-by-step explanation:
Please someone help me on this :c
Scientific notation questions
Best answer gets Brainliest and 20 points
(All of the questions are on the picture)
Please answer this ASAP
*NO LINKS OR QUESTION REPORTED*
[tex]1. \sf{\ Given : \bigg(\dfrac{10^5}{10^2}\bigg) (10^2)^3}[/tex]
The above expression can be written as :
[tex]\implies \sf{10^{(5-2)}}.10^{(2)(3)}}[/tex]
[tex]\implies \sf{10^{(3)}}.10^{(6)}}[/tex]
As Bases are same, we can add the powers with same base
[tex]\implies \sf{10^{(3 + 6)}}}}[/tex]
[tex]\implies \sf{10^{9}}}}[/tex]
[tex]2. \sf{\ Given : \dfrac{10^5}{10^3.10^8}}[/tex]
The above expression can be written as :
[tex]\implies\sf{\dfrac{10^5}{10^{(3 + 8)}}}[/tex]
[tex]\implies\sf{\dfrac{10^5}{10^{11}}}[/tex]
[tex]\implies\sf{10^{(5 - 11)}}[/tex]
[tex]\implies\sf{10^{-6}}[/tex]
[tex]3. \sf{\ Given : \dfrac{10^{-2}.10^{-3}}{(10^2)^{-5}}}[/tex]
[tex]\implies\sf{\dfrac{10^{(-2 - 3)}}{10^{(2)(-5)}}}[/tex]
[tex]\implies\sf{\dfrac{10^{(-5)}}{10^{(-10)}}}[/tex]
[tex]\implies\sf{10^{(-5 + 10)}}[/tex]
[tex]\implies\sf{10^{5}}[/tex]
[tex]4. \sf{\ Given : (2.5\ x \ 10^8)(8\ x \ 10^3)[/tex]
[tex]\implies \sf{(2.5 \ x \ 8)(10^{(8 + 3)})}[/tex]
[tex]\implies \sf{(20)(10^{11})}[/tex]
[tex]\implies \sf{2 \ x \ 10^{12}}[/tex]
[tex]5. \sf{\ Given : \dfrac{27.8 \ x \ 10^{8}}{25 \ x \ 10^{3}}}[/tex]
[tex]\implies\sf{1.112\ x \ 10^{(8 - 3)}}[/tex]
[tex]\implies\sf{1.112\ x \ 10^{5}}[/tex]
can someone do this for me thanks ok bye
Answer:
log2 10 = 3x
Step-by-step explanation:
Basic Logarithm Tenets
Answer:
log2 10=3x
Step-by-step explanation:
is the amswer
Please help!!!
Select the correct answer
The team's win-loss ratio was 5 to 3. If the team played
120 games without a tie, how many games did the team win?
Answer:
75 games
Step-by-step explanation:
5 : 3 =8
8 = 120 games
1= 120÷8
=15
Games the team win:
= 5×15
= 75 games
If team's win-loss ratio was 5 to 3. If the team played 120 games without a tie then 75 games are win by team.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
The team's win-loss ratio was 5 to 3.
The team played 120 games without a tie.
We need to find how many games did the team win
5x+3x =8x
8x = 120 games
Divide both sides by 8
x= 120/8
x=15
Games the team win:
= 5×15
= 75 games
Hence, 75 games did the team win.
To learn more on Ratios click:
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in the number 78.9 what digit is in the tenths places
Answer:
9
Step-by-step explanation:
The sequence of the differences, 2, 4, 8, 16, 32, … is a geometric sequence with:
a1 =
and r1 =
*Please Help**
Answer:
r1 is given by the formula an=a1r.n-1
Step-by-step explanation:
Answer:
a1 = 2
r1 = 2
yayyyyyyyyyyyyyyyyyyyyyyyyy
6 Gallons and 3 quarts = ________ quarts?
Answer: is 27 quarts
Step-by-step explanation:
Answer: 27 quarts
Step-by-step explanation:
6 gallons is 24 quarts. Add the 3 to get 27. Formula: Gx4= Q
6x4=24 Plus the 3 extra= 27 quarts Hope this Helps uwu
What is the equation for the product of a number g and 5 is 30?
Answer:
6?
Step-by-step explanation:
how did u arrive at the answer?
Which point is graphed on the coordinate plane? у 10 5 4 3 2 ہے X 0 1 2 3 4 5 6 7 8 9 10 (3,8) (8,8) (3,3) (8,3)
Answer: (3, 8)
Hope it helps :)
The point graphed on the coordinate plane is either (3,8) or (8,8), depending on whether the horizontal axis is labeled from left to right or right to left.
What is graph?A graph is a visual representation of data or a mathematical equation. It is used to show the relationship between two or more variables, usually depicted on the horizontal and vertical axes of the graph.
The given points are of the form (x,y), where x is the horizontal axis coordinate (also known as the x-axis) and y is the vertical axis coordinate (also called the y-axis).
Each point in the given options is represented by its (x,y) coordinates. Based on the options provided, we must determine which point is graphed on the coordinate plane.
So, to accomplish this, we simply compare the (x,y) coordinates of each option to the coordinates on the graph and select the option that matches.
Thus, (3,8) or (8,8) can be the coordinate plane.
For more details regarding graph, visit:
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The Consumer Reports National Research Center conducted a telephone survey of 2,000 adults to learn about the major economic concerns for the future. The survey results showed that 1,740 of the respondents think the future health of Social Security is a major economic concern.
Required:
a. What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern.
b. At 90% confidence, what is the margin of error?
c. Develop a 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern.
d. Develop a 95% confidence interval for this population proportion.
Answer:
a. 0.87
b. The margin of error is of 0.0124.
c. The 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern is (0.8576, 0.8824).
d. The 95% confidence interval for this population proportion is (0.8553, 0.8847).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The confidence interval is:
[tex]\pi \pm M[/tex]
a. What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern.
The sample proportion, that is, 1740 out of n = 2000. So
[tex]\pi = \frac{1740}{2000} = 0.87[/tex]
0.87 is the point estimate.
b. At 90% confidence, what is the margin of error?
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Then the margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.87*0.13}{2000}}[/tex]
[tex]M = 0.0124[/tex]
The margin of error is of 0.0124.
c. Develop a 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern
[tex]\pi - M = 0.87 - 0.0124 = 0.8576[/tex]
[tex]\pi + M = 0.87 + 0.0124 = 0.8824[/tex]
The 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern is (0.8576, 0.8824).
d.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Then the margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.87*0.13}{2000}}[/tex]
[tex]M = 0.0147[/tex]
The confidence interval will be of:
[tex]\pi - M = 0.87 - 0.0147 = 0.8553[/tex]
[tex]\pi + M = 0.87 + 0.0147 = 0.8847[/tex]
The 95% confidence interval for this population proportion is (0.8553, 0.8847).
Simplify.
Help me please
Answer:
answer is 3^2
hopefully this helps someway
A spinner has 4 blue sections, 6 red sections and 2 green sections. It is spun 24 times. For numbers 2a. – 2c., circle YES or NO to indicate whether you would expect the spinner to land on the given color the number of times stated.
Answer:
Blue = YES
Red = NO
Green = YES
Step-by-step explanation:
Given the distribution of colors on a spinner :
Blue = 4 ; Red = 6 ; Green = 2
Number of spins = 24
Total = (4 + 6 + 2) = 12
Recall:
Probability, P = required outcome / Total possible outcomes
P(red) = 6 /12 = 1/2
P(blue) = 4 / 12 = 1/3
P(green) = 2 / 12 = 1/6
On 24 spins :
Possible number of red = 1/2 * 24 = 12
Possible number of green = 1/6 * 24 = 4
Possible number of blue = 1/3 * 24 = 8
Find BD if AC = 47 yards
9514 1404 393
Answer:
21 yards
Step-by-step explanation:
The area of a quadrilateral with diagonals that are right angles to each other is given by ...
A = (d1)(d2)/2 . . . . where d1 and d2 are the lengths of the diagonals
493.5 yd² = (47 yd)(BD)/2 . . . . . . . . . . fill in the given information
Dividing by the coefficient of BD, we have ...
(2)(493.5 yd²)/(47 yd) = BD = 21 yd
what is the area of this figure
Answer:
Hello! answer: 10
Step-by-step explanation:
Formula for area of squares: base × height
Formula for area of triangles: base × height ÷ 2
2 × 2 = 4
2 × 2 ÷ 2 = 2
4 × 2 ÷ 2 = 4
4 + 2 + 4 = 10 therefore the area is 10 hope that helps!
What is the area of the parallelogram?
20 cm 2
40 cm 2
20 cm 2
40 cm 2
what is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long 11 cm wide and 7 cm tall
The longest segment is —
pleaseeee
Answer:
The longest segment is approximately 19.13cm
Step-by-step explanation:
Given
[tex]l = 14cm[/tex]
[tex]w = 11cm[/tex]
[tex]h = 7cm[/tex]
Required
The length of the longest segment (d)
This is calculated using:
[tex]d = \sqrt{l^2 +w^2 + h^2[/tex]
So, we have:
[tex]d = \sqrt{14^2 +11^2 +7^2[/tex]
Using a calculator, the equation becomes
[tex]d = \sqrt{366[/tex]
Take square roots
[tex]d = 19.13cm[/tex]
plz i beg wont thy help me with three questions T^T
k12 7th math
plz answer them all i really need it cause i cant figure it out T^T
Answer:
For each table plug x in one at a time into the equation
If the outcome (y) is the same in the table that will be the correct answers
Step-by-step explanation:
For example -2 will be plugged in so y=5/4(-2)-3 which simplifies down to -0.5 looking back at the table we see the y value is 0.5 instead of -0.5 thus allowing us to eliminate that answer choice and repeat the process in the next table. Whichever one holds true and have the correct outcome will be the correct answer
Hope this helps
A recipe book has 24 appetizer recipes
and 37 dessert recipes. There are 10
more dinner recipes as appetizer and
dessert recipes combined. How many
recipes are in the book in all?
This is graphing radical equations does anyone know the equation?
Answer:
[tex]f(x)=\sqrt{x}+5[/tex]
Step-by-step explanation:
The parent function of the graph is clearly [tex]f(x)=\sqrt{x}[/tex]. However, at [tex]x=0[/tex], y is equal to 5. Therefore, the function translated up 5 units. Thus, the equation of the function is [tex]f(x)=\sqrt{x}+5[/tex].
Answer:
f(x) = 5 + √x
Step-by-step explanation:
x= 0 ==> y = 5
x= 25 ==> y = 10
this is sq root function, starting from y=5
so, f(x) = 5 + √x
The diameter of a circle is 4cm. Which equation can be used to find its circumference? A. C=pi x2 B. C=pi x 4 C. C=pi x 4/2 D. C= pi x 4/4
Answer:
d is correct
Step-by-step explanation:
What type of quadrilateral is DEFG? Select all that apply.
ty
F
E
6
2
G
2
D
o
2
A rhombus
B. parallelogram
C! square
DE
D trapezoid
Answer:
B. parallelogram
Step-by-step explanation:
Given
See attachment for quadrilateral
Required
Select the type of quadrilateral
From the attached image, we have:
[tex]DE = FG[/tex] -- Opposite, Parallel and Equal
[tex]EF = GD[/tex] -- Opposite, Parallel and Equal
Since all 4 sides are not equal, then it is neither a square; nor a rhombus
Hence, the shape is a parallelogram