Answer:
The actual height of telescope is 42.85 inches
Step-by-step explanation:
Given that:
Height of model of telescope = 15 inches
Diameter of model of telescope = 3.5 inches
Actual diameter of telescope = 10 inches
Actual height of telescope = x
Ratio of model's diameter to height :: Ratio of actual diameter to height
3.5 : 15 :: 10 : x
Product of extreme = Product of mean
3.5*x = 10*15
3.5x=150
Dividing both sides by 3.5
[tex]\frac{3.5x}{3.5}=\frac{150}{3.5}\\x=42.85[/tex]
Hence,
The actual height of telescope is 42.85 inches
Are the equation linear or nonlinear?
Answer:
Results below
Step-by-step explanation:
Equation of the line
A straight line can be written in the form:
y = ax + b
Where a and b are constants and x is the independent variable.
The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.
From the equations presented in the table:
[tex]y = x^1+2[/tex] is linear because the exponent of the x is 1
y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.
y = x is linear with a=1 and b=0
[tex]y = x^2+1[/tex] is not linear because the exponent of x is 2
[tex]y = x(x) = x^2[/tex] is not linear because the exponent of x is 2
The table below summarizes the results
find the value of x then classify the triangle by its angles
Answer:
x = 134°
Step-by-step explanation:
Let
[tex]\angle A=64^{\circ}\\\\\angle B =70^{\circ}[/tex]
We need to find the value of x.
We can see from the figure that x is exterior angle. To find x we can use exterior angle theorem. According to this theorem,
[tex]x=\angle A+\angle B\\\\x=64+70\\\\x=134^{\circ}[/tex]
Hence, the value of x is 134°
What expression is equivalent to 12y + (7y)(3)
Answer:
I got 33y
Step-by-step explanation:
hi if its right but here
Answer:
57y
Step-by-step explanation:
Find the unit rate. Round to the nearest hundredth, if necessary.
$5.99 for 18 lb
The unit rate is ?/b
Can someone help me on these questions?
Answer:
I can give you a few of them, sorry
Step-by-step explanation:
5) obtuse 6)straight 7)right 9) 24°
Identify the common difference of the sequence: –8, –1, 6, 13
Using arithmetic sequence concepts, it is found that the common difference of the sequence is of -7.
Arithmetic sequence:In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.
In this problem, the sequence is: {-8, -1, 6, 13}
The difference between consecutive terms is:
[tex]13 - 6 = 6 - (-1) = -1 - (-8) = 7[/tex]
Hence, the common difference of the sequence is of -7.
You can learn more about arithmetic sequence at https://brainly.com/question/6561461
The cost of 90 kg of rice is 4500. what is the cost of 2 quintal of rice?
Answer:
The cost of 2 quintal of rice is $10,000.
Step-by-step explanation:
To determine the cost of 2 quintals of rice, knowing that 90 kilos of said product is worth $ 4,500, it is first necessary to establish the equivalence between quintals and kilograms. In this regard, a quintal is equivalent to 100 kilograms, so 2 quintals are equivalent to 200 kilos.
Now, to determine the cost per kilogram of rice, the following calculation is required:
4,500 / 90 = X
50 = X
Therefore, 1 kilogram of rice costs $ 50. Thus, since 200 x 50 equals 10,000, 2 quintals of rice will cost $ 10,000.
What is 1/32 as a decimal
Answer:
0.03125
Hope this helps! :)
0.03125 is the answer :) hope it helped
distance from -3 to 0
I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS FIRST
Solve x^2 + 6x + 15 = 0 using the Quadratic Formula
2. Sandra plans to swim a total of 2 2/3 miles every week for 2 1/5
weeks. How many miles is Sandra planning on swimming?
Answer:
5 13/15 miles
Step-by-step explanation:
Solve for x in each of the following diagrams.
By the Exterior Angle Theorem, which of the following is a true statement?
Answer:
2nd option is the correct answer
Step-by-step explanation:
[tex]m \angle 1 > m \angle 3 \: \& \: m \angle 1 > m \angle 7 \\ [/tex]
According to the Exterior Angle Theorem, the true statement should be considered as the option b.
What is an Exterior Angle Theorem?The exterior angle theorem defined that at the time when a triangle's side should be extended, the resultant exterior angle formed should be equivalent to the sum of the measures of the two opposite interior angles of the triangle.
So based on this, we can say that the option b is correct.
learn more about an angle here: https://brainly.com/question/6150811
How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word
Answer: 118 combinations.
Step-by-step explanation:
In ALIVE we have 5 letters, rearranging it we have the possible options of:
5 options for the first letter.
4 options for the second letter, as one was already chosen for the first one
3 options for the third letter, as 2 were already chosen.
2 options for the fourth letter.
1 option for the last letter.
The total number of combinations will be equal to the product of the numbers of options for each letter, then we have:
5*4*3*2*1 = 120 combinations.
And the combinations where the word EVIL is formed are:
AEVIL
EVILA
2 combinations, then the total number of combinations such that the word evil is not formed are:
120 - 2 = 118 combinations.
Please explain how to do this please show work
Answer:
(x-1)(x+4)
I.e x(x+4)-1(x+4)
Xsquare +4x -x -4
Xsquare +3x -4
Who is good at math?
Answer:
me depending on what kind of math it is
Step-by-step explanation:
HELP ME PLEASEEEE :)
Answer:
I believe it to be C
Step-by-step explanation:
Write the ratio as a fraction in lowest term: 15 to 36
Answer:
5/12
Step-by-step explanation:
15 to 36 can also be written as 15/36.
Divide by common values to simplify.
15÷3/36÷3
5/12
Best of Luck!
if f(x) = x^2 + x , find f(-3) a)-12 b)3 c)6
i am a decimal number less than 1. the digit in my tenths place is an even prime number. my hundredths digit is twice my tenths digit, and my hundred thousandths digit is twice my hundredths digit. the thousandths digit is three less than my hundredths digit. my ten thousandths digit is the sum of my tenths and thousandths digit. what number am i?
Answer:
.
Step-by-step explanation:
Answer:
0.24857
Step-by-step explanation:
Less than 1 is 0. and
only even prime is 2
Guys I need some help
Elvira makes money to buy decorations for the cafeteria by selling little bags of chips in the snack bar. If each bag costs $0.35 and she can sell the bag for $0.90, how many bags must she sell to earn at least $200.
Answer:
Step-by-step explanation:
.90-.35=.55
200/.55=364 bags i think
Elvira sells a total of 364 bags to earn a profit of $200 and this can be determined by using the unitary methods.
Given :
Elvira makes money to buy decorations for the cafeteria by selling little bags of chips in the snack bar. If each bag costs $0.35 and she can sell the bag for $0.90.Total profit earn = $200The following steps can be used to determine the total number of bags she sells to earn the profit of $200:
Step 1 - First find the total profit she earns to sell one bag.
= 0.90 - 0.35
= $0.55
Step 2 - Now, using the unitary method find the total number of bags she sells to earn a profit of $200 If she earns a profit of $0.55 to sell one bag.
[tex]=\dfrac{200}{0.55}[/tex]
= 363.63 [tex]\approx[/tex] 364 bags
She sells a total of 364 bags to earn a profit of $200.
For more information, refer to the link given below:
https://brainly.com/question/23423168
A glider flies 8 miles south from the airport and then 15miles east. Then it flies in a straight line back to. What was the distance of the glider’s last trip back to the airport?
15z-7=14z+12 What does Z equal
Answer:
19
Step-by-step explanation:
15z-14z=12+7
z=19
Which of the following are two-step equations? Choose more than
one answers
Answer:
i think a b d f
Step-by-step explanation:
In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 124 cars, 29 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 90% confidence.
Answer:
The estimate the proportion of college students who drive cars with manual transmissions with 90% confidence is
[tex]0.171 < p < 0.297 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 124
The population proportion p = 0.06
The number of cars with manual transmissions is k = 29
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ 29 }{124 }[/tex]
=> [tex]\^ p = 0.234[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.645 * \sqrt{\frac{0.234 (1- 0.234 )}{124} } [/tex]
=> [tex]E = 0.063 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.234 - 0.063 < p < 0.234 + 0.063 [/tex]
=> [tex]0.171 < p < 0.297 [/tex]
using the order of operations, what should be done first to evaluate 8² + 10 (-5) (3) - 5?
A. Subtract 5 From 3.
B. Divide 10 by -5.
C. Add 6 and 10.
D. Evaluate 8².
Answer:
D
Step-by-step explanation:
16) The expression 100 + 5n can be used to find the total price for students to take a field trip to the
science museum. If n represents the number of students, determine the cost for 120 students(n) to
Visit the science museum.
A. $225
B.$105
C. $600
D. $700
Choose the equation that represents the asymptote of the graph f(x) = 2^x +3.
y = 0
y = 3
x = 0
x = 3
Answer:
x = 0Step-by-step explanation:
The horizontal asymptote occurs at x = 0, Hence the equation that represents the asymptote of the graph is at x = 0
f(x) = 2^x +3.
0 = 2^x +3.
2^x +3. = 0
2^x = -3
log 2^ x = log(-3)
x log2 = log(-3)
x = log(-3)/log 2
Hence the required function is when x = 0