Answer:
2 inches make a foot, therefore the scale model is 1/21 the size of the actual if you're using the information given above. so the wingspan should be 10
Hope I Helped You:)
The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.
Answer:
Step-by-step explanation:
Formula
tn = a1 + (n-1)* d
Givens
tn = 67 (it is the last term or the nth term
n = 10
a1 = 4
find d
Solution
67 = 4 + (10 - 1)*d
67 = 4 + 9*d Subtract 4 from both sides
67 - 4 = 9d
63 = 9d Divide by 9
63/9 = 9d/9
7 = d
Remark: This is a fundamental application of the arithmetic sequence. You pretty much have to know how to juggle it's parts.
The terminal side of an angle θ in standard position passes through the point (3, 1). Calculate the exact values of the six trig functions for angle θ.
Answer:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
Step-by-step explanation:
If the point is given on the terminal side of an angle, then:
Calculate the distance between the point given and the origin:
r = [tex]\sqrt{x^2+y^2}[/tex]
Here it is: [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex]
So we have:
x = 3
y = 1
r = [tex]\sqrt{10}[/tex]
Now we can calculate all 6 trig, functions:
sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]
cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]
tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]
cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]
sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]
csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]
Plz answer I will make brainiest plzzz I need right answer ASAP!!!!!
Answer:
its 6 square feet
s = 1
1^2 = 1
6 x 1 = 6
When testing a claim that the majority of adult Americans are against the death penalty for a person convicted of murder, a random sample of 491 adults is obtained, and 27% of them are against the death penalty (based on data from a Gallup poll). Find the P-value. Round to 4 decimals when necessary.
Using the z-distribution, it is found that the p-value is of 1.
At the null hypothesis, it is tested that the majority is not against the death penalty, that is:
[tex]H_0: p \neq 0.5[/tex]
At the alternative hypothesis, it is tested that the majority is against the death penalty, that is:
[tex]H_1: p > 0.5[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.In this problem, the parameters are: [tex]\overline{p} = 0.27, p = 0.5, n = 491[/tex].
Then, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.27 - 0.5}{\sqrt{\frac{0.5(0.5)}{491}}}[/tex]
[tex]z = -10.19[/tex]
Using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of 1.
A similar problem is given at https://brainly.com/question/16313918
What is the slope of the line containing the points (-6,4) and (2,1)
A driver travels for 2 hours at 90 miles per hour, during which her car gets 30 miles per galoon of gasoline. She is paid $0.70 per mile, and her only expense is gasoline at $4 per gallon. What is her net rate of pay, in dollars per hour, after this expense?
Answer:
Her net rate of pay in dollars per hour after the expense = $26
Step-by-step explanation:
Given:
Driver travels for 2 hours.
Speed = 60 miles per hour
Her car runs at the rate of 30 miles per gallon of gasoline.
She is paid $0.50 per mile.
Expenses is price of gasoline at the rate of $2.00 per gallon.
To find her net rate of pay in dollars per hour.
Solution:
In one hour the driver travels = 60 miles
For each mile she is paid = $0.50
So, for 60 miles she will be paid =
In a gallon of gasoline the car travels = 30 miles
So, to travel 60 miles, the car would require = gallons of gasoline
1 gallon of gasoline cost = $2.00
Expenses for 2 gallons of gasoline =
So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.
Thus, her net rate of pay in dollars per hour after the expense =
Brainlist please
The net rate of pay is $122 for the two hours journey.
The driver travels for 2 hours at 90 miles per hour.
Total distance travelled = 2 hours * 90 miles per hour = 180 miles
Money paid to driver = $0.70 per mile * 180 miles = $126
Fuel consumption = 30 miles per gallon, hence:
Total fuel consumption = 180 miles / (30 miles per gallon) = 6 gallon
Total expense = $4 per gallon * 6 gallon = $24
Net rate of pay = $126 - $24 = $122
The net rate of pay is $122 for the two hours journey.
Find out more on equation at: https://brainly.com/question/2972832
Pls answer me this (WILL MARK BRAINLIEST)
Answer:
a=3 b= -40
Step-by-step explanation:
.....
convert 360minutes to hour
Answer:
6H
that was soo hard to find
(2x-3)(x+5)-(x-6)(x+5)=0
write 0.000046 in scientific notation
The answer would be 4.6 x 10^-5
Hello there! :)
Numbers in scientific notation look like this:
____x10^-
The coefficient must be between 1 and 10:
4.6x10^-
Now,the exponent is how many units we move the decimal place.
The exponent for this number is negative because the number is small.
We move the decimal point 5 times to the left.
Therefore, 0.000046 in scientific notation looks like so:
4.6x10^-5
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
A first number plus twice a second number is 5. Twice the first number plus the second totals 13. Find the numbers.
Let a and b = the numbers we must find.
a + 2b = 5.....Equation A
2a + b = 13.......Equation B
We have a system of equations in two variables.
I will solve A for little a.
a + 2b = 5
a = 5 - 2b
Now I will plug 5 - 2b for a in B.
2(5 - 2b) + b = 13
10 - 4b + b = 13
-3b = 3
b = -1
To find a, replace b with -1 in EITHER A or B.
I will use Equation A.
a + 2b = 5
a + 2(-1) = 5
a - 2 = 5
a = 7
The two numbers are -1 and 7.
Understand?
help pls again hmmmm
Answer:
here is your answer
Step-by-step explanation:
option d.)5³/3³
A box of 15 markers cost is $2.40 how much will a box of 40 marker’s cost
Answer:
$6.40
Step-by-step explanation:
Answer:
Step-by-step explanation:
6.4
Brian and Andie were calculating their total money saved to see if they could buy a game to share. Andie notices that she has 24 more dollars than Brian. If together they have $72, how much money does Brian and Andie have?
Answer:
Andie has 48 and Brian has 24
hope it's correct
HURRRYYY PLEASEEEE ANSWERRRR
Answer:
27*10⁵ is basically 270000.
Help guys plzzz asapppp
HELP IVE BEEN STUCK ON THE SAME QUESTION NOBODY WILL HELP ME I CANT CALM DOWN HELP ME
Hello! :p
[tex]\sqrt{-8}[/tex] = [tex]2i\sqrt{2}[/tex]
[tex]\sqrt{-36}[/tex] = [tex]6i[/tex]
[tex]\sqrt{-5}[/tex] = [tex]i\sqrt{5}[/tex]
I hope you do well on your assignment! I also hope this helps! :)
Kenny has a bag of marbles. The bag contains 8 red marbles, 5 blue marbles, and 2 yellow marbles. He will randomly select 1 marble from the bag. What is the probability Kenny will select a blue marble?
Select all relations that represent function
Answer: All of the them except for the last relation.
Step-by-step explanation: For a relation to be a function, it can have y-values repeat but not x-values. In the last relation, you have (6,-6,), (-3,12), (6,-1), (-8,13). Notice that the x-value of 6 repeats 2 times in this relation. You can graph this relation and use the vertical line test and you will notice that it will touch the graph more than one time. Therefore, relations 1-4 represents functions and relation 5 does not.
Hope this explanation helps.
a rectangular patio has an area of 198.4 square meters the width of the patio is 16 meters what is the length
Step-by-step explanation:
the answer thats it 12,4
Answer:
12.4 meters
Step-by-step explanation:
The area is the product of length and width. Fill in the given information in the formula and solve for length.
A = LW
198.4 = L×16
198.4/16 = L = 12.4
The length of the patio is 12.4 meters.
pls help me asap !!!!!
Step-by-step explanation:
the option with the isoceles triangles can NOT be just of that proof, because nowhere is it defined or proven that there is or are isoceles triangles involved. even though the picture looks like it, but that does not mean anything for the formal proof.
actually, this proof is the same (and is also valid) for non-isoceles triangles.
Use traditional division to solve 6432 ÷ 24.
Answer:
(not my answer but) its 268
Step-by-step explanation:
please answer quickly!!
Answer:
Slope: 4
Intercept: 9
Step-by-step explanation:
Hope this helped! :)
The two triangle shown below are similar triangles.
What is the value of d in meters?
Chromosome 13 in the human body contains a DNA molecule that is about 3.19 centimeters long.
What is the length of 1,000 of these molecules?
Find the exact value of sin 29π/6
Group of answer choices
a 3/4
b 1/2
c -3/5
d 0
Answer:
b
Step-by-step explanation:
Remove full rotations of
2
π
until the angle is between
0
and
2
π
.
sin
(
5
π
6
)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
sin
(
π
6
)
The exact value of
sin
(
π
6
)
is
1
2
.
1
2
The result can be shown in multiple forms.
Exact Form:
1
2
Decimal Form:
0.5
find the value of x. send help friends
Answer:
50
Step-by-step explanation:
they have to add up to 80.
think about them sliding to the main vertex...
please help me Im lost on this :(
Answer:
C
Step-by-step explanation:
the quadratic formula is
[tex] \frac{ - b + \sqrt{b ^{2} - 4ac} }{2a} [/tex]
Make the quadratic equal to 0, so it will be 3x^2 + 8x -2=0. Then substitute the values into the equation.
Answer: C) 3x^2+8x-10=-8
Step-by-step explanation:
3x^2+8x-10x=-8
3x^2+8x-2=0
a=3 b=8 c=-2
Plug it into quadratic formula.
solve pls brainliest
Marcus has picture with the dimensions of 3 ft wide and 5 ft long. He would like to change the picture using a scale factor of 1/2. What are the new dimensions for the picture and is the new picture a reduction or enlargement. Explain how you know. *
Answer:
Reduction: new dimensios are 1.5ft x 2.5ft
Step-by-step explanation:
Since he is using a scale factor of 1/2, we merely multiply everything by 1/2
3 ft * 1/2 = 1.5 ft
5 ft * 1/2 = 2.5 ft
It is obviously a reduction first since the scale factor is less than one, but you can also see that the dimensions decreased.
Answer:
The new dimensions are 1.5 ft wide and 2.5 ft long. The picture would be a reduction.
Step-by-step explanation:
Since the scale factor is less than 1 we know that the dimensions are smaller than the original. So we multiply 3 and 5 by 0.5. We get the new dimensions of 1.5ft wide by 2.5 ft long. Knowing this information we can conclude that the new picture is a reduction.
You rent an apartment that costs
$
1600
$1600 per month during the first year, but the rent is set to go up 11% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).
Answer:
$4,750
Step-by-step explanation:
Answer:
3360
Step-by-step explanation:
1600*.11*10= 1600 *.11 = 176 * 10 = 1760 + 1600 = 3360