Answer:
t is the independent variable of time
Step-by-step explanation:
t is the independent variable of time
Please help, I will mark you brainiest, thank you!!
Answer:
x = 20
Step-by-step explanation:
The small square at the vertex indicates a 90º angle
Therefor
x + (3x + 10) = 90
Combine like terms
4x + 10 = 90
Subtract 10 from both sides
4x = 80
Divide both sides by 4
x = 20
Find all solutions of sin x - sqrt(1 - 3sin^2 x) = 0
sinx-✓(1-3sin2x)=0
-✓(1-3sin2x)=-sinx
apply squared both sides
(-✓(1-3sin2x)^2=(-sinx)^2
1-3sin2x=sin2x
collect like terms
-3sin2x-sin2x+1=0
-4sin2x+1=0
-4sin2x=-1
devide both sides by -4
sin2x=-1/-4
sin2x=0.25
sinx*sinx =0.25
[sinx]^2 = 0.25
apply square root both sides
✓(sinx)2 = ✓0.25sinx=0.5 x=sin^-(0.5)x=30°check quadrant where sin is positive, sin is +ve in second quandrant180-x= Theta(X)
180-30=X
X=150°
therefore, all angles for sinx -✓(1-3sin2x)=0 are (X= 30° and 150°)
What kind of polynomial is 2xy2-6?
Select one:
of
a. Binomial
b. Trinomial
c. Monomial
d. Multinomial
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
2xy² - 6 is a binomial because it consist of two terms .
∴ option a. Binomial is correct!
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Option a
Step-by-step explanation:
It has two terms or solutionsAs the highest exponential term is 2(y^2)So it's a binominal[tex]\sf Note\:down\begin{cases}\sf Binominal\leadsto 2terms \\ \sf Trinomial\leadsto 3terms \\ \sf Monomial\leadsto 1term \\ \sf Multinomial \leadsto 4\:or\: 4^+terms\end{cases}[/tex]
Find the area of the figure
Answer: ok so 3 times 3 twice then divide them by 2 and then 12 times 3 twice and then 3 times 6 im pretty sure and then you add them together
Step-by-step explanation:
Complete the matrix that represents a reflection over the x-axis in the coordinate plane.
[ 1 a
b c ]
Answer:
bc
Step-by-step explanation:
Answer bc
Step-by-step explanation:
took test
Terryl invests $1500 in two mutual funds. In the first year, one fund grows 3.8% and the other grows 6%. Write a polynomial to represent the value of Terryl’s investment after the first year if he invested x dollars in the fund with the lesser growth rate.
The polynomial that represents the value of Terryl’s investment after the first year if he invested x dollars in the fund with the lesser growth rate is;
p(x) = x(1 + 6/100)
g(x) = (1500 - x)(1 + 3.8/100)
How to find the compound interest?The compound interest is defined as a form of interest whereby the rate of interest is applied on the amount obtained after every given interval of time.
We are given that;
The total amount invested in the two mutual funds = $1500.
The growth rate of the first mutual fund = 6%.
The growth rate of the second mutual fund = 3.8%.
If the amount invested in the first mutual fund is x, then the amount invested in second mutual fund is 1500 - x.
The growth for both mutual funds can then be represented by;
First mutual fund; p(x) = x(1 + 6/100)
The second mutual fund; g(x) = (1500 - x)(1 + 3.8/100)
Thus, the polynomial expression for both the mutual funds are;
p(x) = x(1 + 6/100) and g(x) = (1500 - x)(1 + 3.8/100) respectively.
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13.A rectangle and a square have the same perimeter 120 cm. Find the side of the square. If the rectangle has a breadth 5cm less than that of the square. Find the breadth, length and area of the rectangle.
Answer:
Step-by-step explanation:
answer for brainliest no wrong answers please :)
9514 1404 393
Answer:
4%
Step-by-step explanation:
The amount of simple interest is given by ...
I = Prt . . . . . amount P invested at annual rate r for t years
This can be solved for r:
r = I/(Pt)
Using the given values, we find the rate to be ...
r = 16/(200·2) = 16/400 = 4/100 = 4%
The annual interest rate is 4%.
please help will give brainliest. Links will be banned
Answer:
I believe it is C.
Solve for the roots in the following equation. Hint: Factor both quadratic expressions.
(4+5x²-36)(2x²+9x-5) = 0
Using the provided quadratic expression and factorizing it, The answer is x = ± √6.4 or x = ± 2.51 and x = 1 or x = -2.5 .
What is a equation?An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.
What are roots of the equation?Roots of an equation are the values of the variable that make the equation true. For example, the roots of the equation x^2 + 2x - 3 = 0 are -1 and 3, because (-1)^2 + 2(-1) - 3 = 0 and 3^2 + 2(3) - 3 = 0. In general, finding the roots of an equation can be a difficult task and may require the use of mathematical techniques such as factoring, graphing, or numerical methods. Roots are also known as solutions or zeroes of an equation. They can be found by setting the equation equal to zero and solving for the variable.
(4+5x²-36) = 0 or (2x²+9x-5) = 0
Solving the first factor:
4+5x²-36 = 0
5x²-32 = 0
5x² = 32
x² = 6.4
x = ± √6.4
x = ± 2.51 or -2.51
Solving the second factor:
2x²+9x-5 = 0
x²+4.5x-2.5 = 0
(x-1)(x+2.5) = 0
x = 1 or x = -2.5
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Which of the following is a
representation of 11!
Answer: B.
Step-by-step explanation:
A new route for bicycling to work decreased Herschel's riding time by 14%. If the old route took 32 minutes, how long will the new route take? Round your answer to the nearest minute.
Answer:
4.48
Step-by-step explanation:
Herschel took 27.52 minutes in riding cycle in new route.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a new route for bicycling to work decreased Herschel's riding time by 14%.
The old route took 32 minutes
Time taken by new route = 32-14% of 32
= 32-14/100 ×32
= 32-0.14×32
= 32-4.48
= 27.52 minutes
Therefore, it takes 27.52 minutes in the new route.
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I need the answer fast pls⇒
Answer:
530
Step-by-step explanation:
870-340 = 530
___________
normal simple question and pls follow
Answer:
850
Step-by-step explanation:
Answer:
850
Step-by-step explanation:
34*100=3400
3400/4=850
Would be amazing if you marked this as brainliest
I need help with this question that in this picture
Answer:
What subject
Step-by-step explanation:
¿Cuál es el ángulo suplementario de 9º?
Answer:
171 degrees
Step-by-step explanation:
x + 9 = 180
x = 171
Pls hurry by Friday! Whoever answers first will get points
Answer:
14 inches for every side
Step-by-step explanation:
44/4 = 22
circumfrence of half circle is 3.14r = 22
22/3.14 is about 7
the radius is half the side length so multiply 7 by 2 to get 14
mark brainliest please
Number 4 number 4 number 4 number 4
Answer:
D
Step-by-step explanation:
We know that the value of x is 120, so we can substitute it into the equation they gave you.
T(x) = 0.06x + 4.5
T(x) = 0.06(120) + 4.5
Now just solve.
0.06 × 120 = 7.2
7.2 + 4.5 = 11.7
So the tax on the room is $11.70
Find the surface of the triangular prism
Answer:
Step-by-step explanation:
6²+8²=36+64=100=10²
so it is a right angled triangular prism.
surface area=2×(1/2 ×8×6)+(6+8+10)×7
=48+980
=1028 sq. m.
Answer:
225.32
Step-by-step explanation:
Hope this helped :)
Suppose that you take a random sample of 259 people leaving a grocery store over the course of a day and find that 12% of these people were overcharged. Find a 95% confidence interval for the actual percentage of shoppers who were overcharged.
a. 5.7% to 18.3%
b. 8.85 to 15.15%
c. 7% to 17%
d. 9.5% to 14.5%
Answer:
8.04% to 15.96%
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].
Suppose that you take a random sample of 259 people leaving a grocery store over the course of a day and find that 12% of these people were overcharged.
This means that [tex]n = 259, \pi = 0.12[/tex]
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].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 - 1.96\sqrt{\frac{0.12*0.88}{259}} = 0.0804[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 + 1.96\sqrt{\frac{0.12*0.88}{259}} = 0.1596[/tex]
So 8.04% to 15.96%
An article presents benzene conversions (in mole percent) for 24 different benzene hydroxylation reactions. The results are 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4 Can you conclude that the mean conversion is greater than 30? Compute the appropriate test statistic and find the P-value. The appropriate test statistic and the P-value are and , respectively. Round the test statistic to two decimal places and the P-value to four decimal places. We (Click to select) conclude that the mean conversion is greater than 30.]
Answer:
Test statistic = 3.21;
Pvalue = 0.0019;
Reject H0 and conclude that the mean conversion rate is greater than 30.
Step-by-step explanation:
Hypothesis :
NULL ; H0 : μ = 30
ALTERNATIVE ; H0 : μ > 30
Sample, x : 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4
Sample Mean, xbar = 43.71 (using calculator)
Sample standard deviation, s = 20.95 ( calculator)
Sample size, n = 24
Take, α = 0.05
Test statistic :
(xbar - μ) ÷ (s/√n)
(43.71 - 30) ÷ (20.95/√24)
13.71 / 4.2764008
Test statistic = 3.21
Degree of freedom, df = n - 1 = 24 - 1 = 23
The Pvalue, using a Pvalue calculator : (3.21, 23)
Pvalue = 0.001942
Pvalue = 0.0019 ( 4 decimal places).
Decison :
Reject H0 ; if Pvalue ≤ α
Since Pvalue is very low and lesser than α ` We reject H0 and conclude that the mean conversion rate is greater than 30.
Alicia is solving the equation shown.
− 2( x + 1) + 10 = 4 − 2x
She wrote this as her first step.
x + 1 − 5 = − 2 + x
Which property justifies this first step?
A. additive identity property
B. addition property of equality
C. multiplicative property of zero
D. multiplication property of equality
Answer:
D.
Step-by-step explanation:
-2 is divided on both sides of the equation, which is the multiplication property of equality. you aren't adding anything/ multiplying anything by 0
We want to estimate the percentage of political figures who will make a social media
presence by posting an average of 1,000 posts per year next year. How many accounts
must we include in the sample next year, if we want our proportion estimate to be within
20 percentage points at a 90% level of confidence?
Answer:
0.0208
Step-by-step explanation:
Using the formula for calculating margin of error is expressed as;
M = z * √p(1-p)/n
z is the z score at 90 % interval
p is the proportion
n is the sample size
p = 0.2
n = 1000
z = 1.645
M = 1.645 * √0.2(1-0.2)/1000
M = 1.645 * √0.2(0.8)/1000
M = 1.645 * 0.01264
M = 0.0208
Hence the margin of error is 0.0208
For what value of a does (1/7)^3a+3=343^a-1
Answer:
the answer is 0
Step-by-step explanation:
edge 2022
What is the pattern for 0, 1, 3, 7, 15, 31, 63
Answer:
every second number is got by multiplying it by two times of the number & adding it to previous number. For eg: the difference between 1 & 3 is 2. So the next number 7 is got by multiplying the diff with 2 & adding it to previous number, which is 3+2*2=7
Step-by-step explanation:
HOPE THIS HELPS!! PLEASE BRAINIESTTT
Answer:
All the numbers in the sequence was ×2 +1
multiplied by 2 and 1 was added.
Hope that helps
I’ll give points + brainalist for the correct answer (:
List 3 examples of chemical digestion
________
________
________
List 3 examples of mechanical digestion
________
________
________
Answer:
3 examples of mechanical digestion:
Mastication
Swallowing
Peristalsis
Who is right and why are they right?
-6x<21 on number line
Answer:
[tex]x > -3.5[/tex]
Step-by-step explanation:
Given
[tex]-6x < 21[/tex]
Required
Plot a number line
First, solve for x
[tex]-6x < 21[/tex]
Divide by -6
[tex]\frac{-6x}{-6} > \frac{21}{-6}[/tex]
[tex]x > -3.5[/tex]
See attachment for number line
why do the hands on the clock form an angle?
Answer:
The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)
I hope this helps you!
Complete the following indirect proof (proof by contradiction).
Given: Adjacent angles LA and ZB, formed by the intersection of two lines
Prove: At least one of the angles LA and B has measure 90° or greater
First, we assume that this conclusion is false. In other words, we assume that the contrary statement "none of the two angles has measure [tex]90^{\circ}[/tex] or greater" is true.
The assumption is equivalent to the following two statements:
(1) [tex]m\angle A\text{ } \boxed{ < 90^{\circ}}[/tex]
(2) [tex]m\angle B\text{ } \boxed{ < 90^{\circ}}[/tex]
Using (1) and (2) and the addition properties of inequalities, we conclude that [tex]m\angle A+m\angle B \text{ } \boxed{ < } \text{ } 180^{\circ}[/tex].
On the other hand, two adjacent angles form a linear pair. Thus, the last statement contradicts the Linear Pair Property, which states that for a linear pair of angles [tex]\angle A[/tex] and [tex]\angle B[/tex], [tex]m\angle A+m\angle B \text{ } \boxed{=} \text{ } 180^{\circ}[/tex].
Therefore, the assumption made is false, and the statement "at least one of the angles [tex]\angle A[/tex] and [tex]\angle B[/tex] has measure [tex]90^{\circ}[/tex] or greater" is true.