Answer:
5+8=13, and 13+8=21, 13+21=34
Step-by-step explanation:
fibonacci sequence...
1+1=2
1+2=3
2+3=5, etc...
sooo,
5+8=13, and 13+8=21, 13+21=34
The missing numbers in the pattern is 13 and 21.
What is pattern of numbers?A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.
The given sequence is 1, 1, 2, 3, 5, 8, __, __, 34, 55.
Here,
1+1=2
1+2=3
2+3=5
3+5=8
5+8=13
8+13=21
13+21=34
21+34=55
Therefore, the missing numbers in the pattern is 13 and 21.
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Pluto's distance P(t)P(t)P, left parenthesis, t, right parenthesis (in billions of kilometers) from the sun as a function of time ttt (in years) can be modeled by a sinusoidal expression of the form a\cdot\sin(b\cdot t)+da⋅sin(b⋅t)+da, dot, sine, left parenthesis, b, dot, t, right parenthesis, plus, d. At year t=0t=0t, equals, 0, Pluto is at its average distance from the sun, which is 6.96.96, point, 9 billion kilometers. In 666666 years, it is at its closest point to the sun, which is 4.44.44, point, 4 billion kilometers away. Find P(t)P(t)P, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.
Answer: P(t) = 1.25.sin([tex]\frac{\pi}{3}[/tex].t) + 5.65
Step-by-step explanation: A motion repeating itself in a fixed time period is a periodic motion and can be modeled by the functions:
y = A.sin(B.t - C) + D or y = Acos(B.t - C) + D
where:
A is amplitude A=|A|
B is related to the period by: T = [tex]\frac{2.\pi}{B}[/tex]
C is the phase shift or horizontal shift: [tex]\frac{C}{B}[/tex]
D is the vertical shift
In this question, the motion of Pluto is modeled by a sine function and doesn't have phase shift, C = 0.
Amplitude:
a = [tex]\frac{largest - smallest}{2}[/tex]
At t=0, Pluto is the farthest from the sun, a distance 6.9 billions km away. At t=66, it is closest to the star, P(66) = 4.4 billions km. Then:
a = [tex]\frac{6.9-4.4}{2}[/tex]
a = 1.25
b
A time period for Pluto is T=66 years:
66 = [tex]\frac{2.\pi}{b}[/tex]
b = [tex]\frac{\pi}{33}[/tex]
Vertical Shift
It can be calculated as:
d = [tex]\frac{largest+smallest}{2}[/tex]
d = [tex]\frac{6.9+4.4}{2}[/tex]
d = 5.65
Knowing a, b and d, substitute in the equivalent positions and find P(t).
P(t) = a.sin(b.t) + d
P(t) = 1.25.sin([tex]\frac{\pi}{3}[/tex].t) + 5.65
The Pluto's distance from the sun as a function of time is
P(t) = 1.25.sin([tex]\frac{\pi}{3}[/tex].t) + 5.65
Answer:
P(t) = 1.25.sin(.t) + 5.65
Step-by-step explanation:
Identifying Additive Inverses
Try it
Match each polynomial expression to its additive inverse.
-6x²-x-2
6x²-x+2
6x2 + x-2
6x2 - X+2
622 - x + 2
622 + x + 2
1-6x²+x-2
6x²+x-2
Intro
Done
Answer:
he additive inverse of:
a) [tex]-6x^2-x-2[/tex] is : [tex]6x^2+x+2[/tex]
b) [tex]6x^2-x+2[/tex] is : [tex]-6x^2+x-2[/tex]
c) [tex]6x^2+x-2[/tex] is : [tex]-6x^2-x+2[/tex]
d) [tex]6x^2+x+2[/tex] is : [tex]-6x^2-x-2[/tex]
Step-by-step explanation:
You need to consider that the additive inverse of a polynomial is that polynomial that consists of the opposite of each term of the polynomial given.
Then, the additive inverse of:
a) [tex]-6x^2-x-2[/tex] is : [tex]6x^2+x+2[/tex]
b) [tex]6x^2-x+2[/tex] is : [tex]-6x^2+x-2[/tex]
c) [tex]6x^2+x-2[/tex] is : [tex]-6x^2-x+2[/tex]
d) [tex]6x^2+x+2[/tex] is : [tex]-6x^2-x-2[/tex]
Flora paid her supplier $0.75 a stem for roses to sell at her flower shop. She added an 80% markup. What is the amount of markup?
Answer:
$0.60
Step-by-step explanation:
the question ask us to find the amount of the markup on Flora’s roses. The amount of markup is given by:
markup rate x original price = amount of markup
the markup rate is in decimal form
since the original price was $0.05 and the markup price is 80% = 0.80, we have
0.80 x .075 = 0.60
thus, the amount of the markup on Flora’s roses was $0.60
HELP! will give brainlest or whatever its called... Triangle ABC has vertices A(–2, 3), B(0, 3), and C(–1, –1). Find the coordinates of the image after a reflection over the x-axis. A’ B’ C’
Answers:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
=======================================================
Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as [tex](x,y) \to (x,-y)[/tex]
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)Point B = (0, 3) becomes B ' = (0, -3)Point C = (-1, -1) becomes C ' = (-1, 1)The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Answer:
(-2,-3)...(0,-3)...(-1,1)
Step-by-step explanation:
Josh and Lucy share some money in the ratio 3:7. What fraction of the money does Josh receive?
Answer:
3/10ths of the money
Step-by-step explanation:
Add together the two numbers to get the total.
Josh gets 30 percent and Lucy gets 70 percent.
3/10
Answer:
3/10
Step-by-step explanation:
3+7=10
Josh=3
Lucy=7
Study the steps used to solve the equation. Given: StartFraction c Over 2 EndFraction minus 5 equals 7 Step 1: StartFraction c Over 2 EndFraction minus 5 plus 5 equals 7 plus 5 Step 2: StartFraction c Over 2 EndFraction plus 0 equals 12 Step 3: StartFraction c Over 2 EndFraction equals 12 Step 4: 2 (StartFraction c Over 2 EndFraction) equals 12 (2) Step 5: c equals 24 Choose the property that justifies each step of the solution. Step 1: Step 2: Step 3: Step 4:
Answer:
addition property of equalityintegers are closed to additionidentity elementmultiplication property of equalitycommutative property of multiplication; reals are closed to multiplication; identity elementStep-by-step explanation:
Given:
c/2 -5 = 7
Step 1: c/2 -5 +5 = 7 +5
Step 2: c/2 +0 = 12
Step 3: c/2 = 12
Step 4: 2(c/2) = 12(2)
Step 5: c = 24
Find:
The property that justifies each step of the solution.
Solution:
Step 1: addition property of equality (lets you add the same to both sides)
Step 2: integers are closed to addition
Step 3: identity property of addition (adding 0 changes nothing)
Step 4: multiplication property of equality
Step 5: closure of real numbers to multiplication; identity property of multiplication
_____
It is hard to say what "property" you want to claim when you simplify an arithmetic expression. Above, we have used the property that the sets of integers and real numbers are closed to addition and multiplication. That is, adding or multiplying real numbers gives a real number.
In Step 5, we can rearrange 2(c/2) to c(2/2) using the commutative property of multiplication. 2/2=1, and c×1 = c. The latter is due to the identity element for multiplication: multiplying by 1 changes nothing.
Apart from the arithmetic, the other properties used are properties of equality. Those let you perform any operation on an equation, as long as you do it to both sides of the equation. The operations we have performed in this fashion are adding 5 and multiplying by 2.
Answer:
Step 1 ~ addition property of equality
Step 2 ~ additive inverses
Step 3 ~ additive identity
Step 4 ~ multiplication property of equality
Explanation:
Addition property of equality means that If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. In this problem, they added 5 to both sides to make the equation balanced.
Additive inverses means what you add to a number to get zero. The negative of a number. -5 + 5 = 0.
Additive identity means that the sum of a number and 0 is that number.
Multiplication property of equality states that when you multiply both sides of an equation by the same number, the two sides remain equal. In this problem, they multiplied 2 to both sides to get rid of the denominator in the fraction.
I need help please!!!!! Will give BRAINLIST !!
Answer:
0.65
Step-by-step explanation:
There are 65 student that do sports as 20+20+25=65. In total there are 100 student and you find this by adding up all the values. Now all you do is divide 65/100 and get 0.65 and that is the probability a random student plays sports.
What is the measure of PSQ?
Answer:
Do you have an image because I'm a bit confused with you just asking the measure of PSQ.
Step-by-step explanation:
if 7 is added to a number then it becomes at least 15 what is the number?
Step-by-step explanation:
yeah,when 15-7=8
the number is 8
a) Reetu sold a watch to Reshmi at 20% profit. Reshmi again sold the same watch to
Nikita for Rs 1,350 at a loss of 10%. At what price did Reetu purchase the watch?
41
ique's Mathematics - 9
Answer:
1250,Rs
Step-by-step explanation:
Let Reetu paid for the watch x Rs. Then Reetu sold the watch to Reshmi having 20% profit => the selling price is 1.2*x
Then Teshmi sold the wathes with 10% loss (or 0.9 from purchase price 1.2x) to Nikita, i.e. selling price is
1.2*x*0.9=1350
1.08*x=1350
x=1350:1.08
x=1250, Rs
What steps are used to solve the equation? g – 8 = 14 Complete the statements. First, both sides of the equation. The solution of the equation is . Check the solution by substituting for g and simplifying.
Answer:
g=22
Step-by-step explanation:
add 8 to both sides
g-8=14
g-8+8=14+8
g=14+8
g=22
The solution of expression g - 8 = 14 is,
⇒ g = 22
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ g - 8 = 14
Now, We can simplify as,
⇒ g - 8 = 14
Add 8 both side,
⇒ g - 8 + 8 = 14 + 8
⇒ g = 22
Thus, The solution of expression g - 8 = 14 is,
⇒ g = 22
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find the third angle in a triangle when the other two angles are (2a-32)° and (3a+22)°
Answer:
(190-5a)°
Step-by-step explanation:
Sum of internal angles of a triangle equals to 180°
If the third angle is x, then we have:
(2a-32)°+(3a+22)° +x = 180°(5a- 10)° +x= 180°x= (180+10-5a)°x= (190-5a)°The third angle is: (190-5a)°
Coupons driving visits. A store randomly samples 603 shoppers over the course of a year and nds that 142 of them made their visit because of a coupon they'd received in the mail. Construct a 95% con dence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail.
Answer:
The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)
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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 603, \pi = \frac{142}{603} = 0.2355[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue 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}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694[/tex]
The 95% confidence interval for the proportion of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)
Marty and Jean are married and have 4-year-old twins. Jean is going to school full-time for 11 months of the year, and Marty earns $59,200. The twins are in day care so Jean can go to school while Marty is at work. The cost of day care is $10,100. TABLE 6.1 CHILD AND DEPENDENT CARE CREDIT PERCENTAGES Adjusted Gross Income Applicable Percentage Over But Not Over $0 – $15,000 35% 15,000 – 17,000 34% 17,000 – 19,000 33% 19,000 – 21,000 32% 21,000 – 23,000 31% 23,000 – 25,000 30% 25,000 – 27,000 29% 27,000 – 29,000 28% 29,000 – 31,000 27% 31,000 – 33,000 26% 33,000 – 35,000 25% 35,000 – 37,000 24% 37,000 – 39,000 23% 39,000 – 41,000 22% 41,000 – 43,000 21% 43,000 – No limit 20% What is their child and dependent care credit?
Answer:
Answer: $2,000
Step-by-step explanation:
-Use form 2441 on the IRS website for 2019.
-Wages earned=$45,000, therefore, it would be between "over 43,000 but not over 'No Limit' " which is 20% (.20)
-$10,000(paid in daycare) × .20 = $2,000
Question 4 of 10
Which polynomial represents the difference below?
5x2
+9x+3
(6x2-3x)
O A. -x + 12x+3
B. 5x2 + 3x + 3
O C. 5x2 + 6x + 3
O D. - x2 + 6x + 3
SUBMIT
PREVIOUS
Answer:
-x² + 12x + 3
Step-by-step explanation:
Step 1: Write expression
5x² + 9x + 3 - (6x² - 3x)
Step 2: Distribute
5x² + 9x + 3 - 6x² + 3x
Step 3: Combine like terms
-x² + 12x + 3
Circles c and c are similar state the translation rule and the scale factor of dilation
To obtain circle C', circle C was translated to the right 3 units and down 2 units, then dilated by a scale factor of 2
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the increase or decrease in the size of a figure.
To obtain circle C', circle C was translated to the right 3 units and down 2 units, then dilated by a scale factor of 2
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A recipe requires 31 cup of milk for each 41 cup of water. How
many cups of water are needed for each cup of milk?
Step-by-step explanation:
here,
31 cup of milk require 41 cup of water.
1 cup of milk require 41/31 cup of water.
so, 41/31 cup of water is required for 1 cup of milk.
hope u get it..
HELP SNOG OR WHOEVER (x+3)(y-19)
Answer:
xy-19x+3y-57
Step-by-step explanation:
Once again, FOIL is the way to go!
First, Outside, Inside, Last
xy-19x+3y-57
Answer:
xy-19x+3y-57
Step-by-step explanation:
(x+3)(y-19)
FOIL
first: xy
outer: -19x
inner 3y
last -57
Add them together
xy-19x+3y-57
QUESTION 1 (ONLY ANSWER FOR ALL QUESTIONS) a) 2x/3 =8 (what is x=?) b)3x/2 =6 (what is x=?) QUESTION 2 a)x/3 -2 =6 (what is x=?) b )x/5 +1 = 5 (what is x=?) QUESTION 3 a) 5x/2 +1 =11 (what is x=?) b)2x/7 -3 = 2 (what is x=?)
Answer:
1 (a) x = 12
1 (b) x = 4
2 (a) x = 24
2 (b) x = 20
3 (a) x = 4
3 (b) x = 17.5
Step-by-step explanation:
1 (a)
2x/3 = 8
2x = 8 × 3
2x = 24
x = 24 ÷ 2
x = 12
1 (b)
3x/2 = 6
3x = 6 × 2
3x = 12
x = 12 ÷ 3
x = 4
2 (a)
x/3 - 2 = 6
x/3 = 6 + 2
x/3 = 8
x = 8 × 3
x = 24
2 (b)
x/5 + 1 = 5
x/5 = 5 - 1
x/5 = 4
x = 4 × 5
x = 20
3 (a)
5x/2 + 1 = 11
5x/2 = 11 - 1
5x/2 = 10
5x = 10 × 2
5x = 20
x = 20 ÷ 5
x = 4
3 (b)
2x/7 - 3 = 2
2x/7 = 2 + 3
2x/7 = 5
2x = 5 × 7
2x = 35
x = 35 ÷ 2
x = 17.5
Find the fourth term in the expansion of the binomial
(4x + y)^4
a) 16xy^3
b) 256x^4
c) 64y^4
d) 4xy^3
Answer:
a) 16xy³
Step-by-step explanation:
For a binomial expansion (a + b)ⁿ, the r+1 term is:
nCr aⁿ⁻ʳ bʳ
Here, a = 4x, b = y, and n = 4.
For the fourth term, r = 3.
₄C₃ (4x)⁴⁻³ (y)³
4 (4x) (y)³
16xy³
The following situation can be modeled by a linear function. Write an equation for the linear function and use it to answer the given question. Be sure you clearly identify the independent and dependent variables. Then briefly discuss whether a linear model is reasonable for the situation described. The price of a particular model car is $19,000 today and rises with time at a constant rate of $960 per year. How much will a new car of this model cost in 3.7 years?
Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.)
A. The independent variable is the price (o) in dollars, and the dependent variable is time (1), in years. The linear function that models this situation is __________
B. The independent variable is time (), in years, and the dependent variable is the price (p), in dollars. The linear function that models this situation is________
The price of a car after 3.7 years will be $ (Simplify your answer.) Is a linear model reasonable for the situation?
A. The linear model is most likely not reasonable, because the price of a new car of the same model never changes, regardless of how much time passes.
B. The linear model is most likely not reasonable, because the price of a new car of the same model will always decrease at a constant rate.
C. The linear model is most likely not reasonable, because it is unlikely that the price of a new car of the same model will increase at a constant rate. always increases at a constant rate.
Answer: The answer is B)
B. The independent variable is time (t), in minutes, and the dependent variable is rental cost (r), in dollars. The linear function that models this situation is r equals to r=0.55x+8
Step-by-step explanation:
I travelled at 60km/hour and took 2hours for a certain journey.How long would it have taken me if I had travelled at 50km/hour?
Answer:
if you would travel 50km/h then the time will be 2.4hours
Step-by-step explanation:
speed=v1=60km/h
time=t1=2h
speed=v2=50km/h
time=t2=?
as we know that
v1×t1=v2×t2
evaluating the expression
(v1×t1)/v2=t2
putting values
[tex]\frac{60km/h*2h}{50km/h}=t2[/tex]
[tex]\frac{120km/h^2}{50km/h}=t2[/tex]
2.4hours=t2
i hope this will help you :)
Evaluate. Write your answer as a fraction or whole number without exponents. 6^–4 =
Answer:
The answer is 1/1296
Step-by-step explanation:
6^-4 can be written as 1/6⁴
And
1/6⁴ = 1/1296
Hope this helps you.
Question 4
If Madeline wanted to know whether or not her sample results could be generalized to the population, she would use
Answer:
Inferential statistical methods
Step-by-step explanation:
Remember, Madeline had obtained sample results, but she wants to decide whether to apply the sample results to the entire population. To do this, she can use the following:
- estimate her research parameters or
- or perform a hypothesis test which answers her research objectives.
Based on the results she gets, Madeline, can to thus infer from the sample results and apply them to the population.
Please answer this correctly
Answer:
1/7
Step-by-step explanation:
There are 7 cards, 1 of which is less than 2. Therefore, P (less then 2) = 1/7
Answer:
1/7
Step-by-step explanation:
The number from the list that is less than 2 is 1.
1 number out of a total of 7 numbers.
= 1/7
Conscientiousness is a tendency to show self-discipline, act dutifully, and aim for achievement. The trait shows a preference for planned rather than spontaneous behavior. A random sample of 650 students is asked to fill out the Hogan Personality Inventory (HPI) to measure their level of conscientiousness. The 350 graduate students had a mean score of 153 with a standard deviation of 21. The 300 undergraduate students scored an average of 148 with a standard deviation of 16. We are interested in determining whether graduate students score higher, on average, on the HPI than undergraduate students. What is the value of the test statistic for testing these hypotheses using a pooled two sample t-test?
Answer:
a
The Null hypothesis represented as
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
The Alternative hypothesis represented as
[tex]H_a: \mu_1 - \mu_2 < 0[/tex]
b
p-value = P(Z < -3.37 ) = 0.000376
c
There is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students
Step-by-step explanation:
From the question we are told that
The population size is [tex]n= 650[/tex]
The sample size for graduates is [tex]n_1 = 300[/tex]
The sample mean for graduates is [tex]\= x _1 = 148[/tex]
The sample standard deviation for graduates is [tex]\sigma_1 = 16[/tex]
The sample size for under-graduates is [tex]n _2 = 350[/tex]
The sample mean for under-graduates is [tex]\= x _2 = 153[/tex]
The sample standard deviation for graduates is [tex]\sigma_2 = 21[/tex]
The Null hypothesis represented as
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
The Alternative hypothesis represented as
[tex]H_a: \mu_1 - \mu_2 < 0[/tex]
Where [tex]\mu_1 \ and \ \mu_2[/tex] are the population mean
Now the test statistic is mathematically represented as
[tex]t = \frac{(\= x_1 - \= x_2 ) }{ \sqrt{ \frac{ (n_1 - 1 )\sigma_1 ^2 + (n_2 - 1)\sigma_2^2}{n_1 +n_2 -2} } * \sqrt{ \frac{1}{n_1} + \frac{1}{n_2} } }[/tex]
substituting values
[tex]t = \frac{(148 - 153 ) }{ \sqrt{ \frac{ (300- 1 )16 ^2 + (350 - 1) 21^2}{300 +350 -2} } * \sqrt{ \frac{1}{300} + \frac{1}{350} } }[/tex]
[tex]t = -3.37[/tex]
The p-values is mathematically evaluated as
p-value = P(Z < -3.37 ) = 0.000376
The above answer is gotten using a p-value calculator at (0.05) level of significance
Looking the p-value we see that it is less than the level of significance (0.05) so Null hypothesis is rejected
Hence there is insufficient evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students
Following are the two-Sample of the T-Test and CI:
[tex]\boxed{\boxed{\begin{matrix}Sample& N &Mean& StDev& SEMean\\ 1 &350 &153.0& 21.0 &1.1 \\ 2& 300& 148.0& 16.0& 0.92\end{matrix}}}[/tex]
Calculating the difference:
[tex]= \mu (1) - \mu (2)\\\\[/tex]
The estimated difference: [tex]5.00[/tex]
When the [tex]95\%[/tex] of CI so, the difference:[tex](2.09, 7.91)[/tex]
Therefore the T-Test difference value = 0
[tex]\to (vs \neq): T-Value = 3.37 \\\\\to P-Value = 0.001 \\\\\to DF = 648[/tex]
When the both use Pooled so, the StDev = 18.8583
Therefore, the final value of t is "3.37".
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if X= 2, Y=-2 and Z=3 find the value of 3 X + Y - Z
Answer:
1Given,
X=2
y=-2
z=3
Now,
[tex]3x + y - z \\ = 3 \times 2 + ( - 2) - 3 \\ = 6 + ( - 2) - 3 \\ = 6 - 2 - 3 \\ = 4 - 3 \\ = 1[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
1
Step-by-step explanation:
3X+Y-Z
Where X = 2, Y = -2 amd Z = 3
=> 3(2)+(-2)-(3)
=> 6-2-3
=> 4-3
=> 1
Find the value of x in the diagram below. A. B. C. D. Please select the best answer from the choices provided A B C D
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Trigonometry.
Since we have to use here, Sine ration.
Sine of an Angle = Perpendicular side/Hypotenuse Side.
So we get as,
X = 3 .
Answer:
the answer is c
Step-by-step explanation:
find the area of the Triangle
6 ft
12 ft
Answer:
area = 36 ft²
Step-by-step explanation:
no figure has been given ..
therefore, area of a triangle = 1/2 * b * h
assume b = 6 ft
assume h = 12 ft
area = 1/2 * 6 * 12
area = 36 ft²
The function fx =-x^2-4x+5 is shown on the graph which statement is true
Answer:
Option (3)
Step-by-step explanation:
Given question is incomplete; here is the complete question.
The function f(x) = –x2 – 4x + 5 is shown on the graph. Which statement about the function is true?
The domain of the function is all real numbers less than or equal to −2.
The domain of the function is all real numbers less than or equal to 9.
The range of the function is all real numbers less than or equal to −2.
The range of the function is all real numbers less than or equal to 9
By using a graph tool we get a parabola opening downwards.
Since domain of a function is represented by x-values and range by y-values.
Domain of the given function will be (-∞, ∞)
Range of the function will be (-∞, 9] Or a set of all real numbers less thn equal to 9.
Therefore, Option (3) will be the answer.