Answer:
40.50
Step-by-step explanation:
you take 600.00 and multiply it by 2.25 you will get 1,350 divide 1,350 by 100 you will get 13.50 multiply 13.50 times 3 you get 40.50 that is interest for 3 years
A ladder is propped against the side of a building making a 30 degree
angle with the building
If the base of the ladder is 6 feet from the base of the building, how
high will the ladder be resting against the building, in feet? Round
your answer to the nearest whole number
3x + 2y = 22 −x + 4y = 2
Answer:x=11/2+y/2
Step-by-step explanation:
The solution of the given system of equation would be (6, 2)
What is a system of equations?Two or more equations to be solved together, i.e., the solution must satisfy all the equations in the system.
We have Given the equations, 3x + 2y = 22
-x + 4y = 2
Solving by elimination, Multiplying the second equation by 3,
3x+2y = 22
-3x + 12y = 6
Adding the equation, we get;
2y+12y = 22+6
24y = 28
y = 2
Putting y=2 we get;
3x+2*2=22
3x+4 = 22
3x = 18
x = 6
Hence, The solution is (6, 2)
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Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank
1. 1. Complete the transformation statement for moving Paul’s pole barn, (x,y) (x+ fill in the blank, y + fill in the blank)
2. Draw the new location of the pole barn on the graph below. Note that the stock tank is located at the origin
3. How far is it from the old location to the new location? (Hint: use the distance formula
Answer:
Step-by-step explanation:
(x,y) ↦ (x+130, y-105)
original position of SE corner: (-50,25)
new position of SE corner: (80,-80)
distance = [tex]\sqrt{(80-(-50))^{2}+(-80-25)^{2} }[/tex]≅167.1 ft
What is the value of x in the equation 3×=1
Answer:
x=1/3
Step-by-step explanation:
. You got 46 out of 65 questions right on your exam. What's your grade?
Answer:
about like 8 /10
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
43=0.34x+19.5
What is x
Step-by-step explanation:
43=0.34x+19.5
=> 0.34x+19.5 = 43
=> 0.34x = 43 - 19.5
= 23.5
[tex] = > x = \frac{23.5}{0.34} [/tex]
=> x = 69.117 (Ans)
After dinner, Mirna had a second serving of her chocolate bar, eating 3
more pieces. Which equation shows how much she has left of the
whole candy bar after this second serving ?
A.) 5/8 - 3/8 = 2/8
B.) 8/8 - 3/8 = 5/8
C.) 8/8 - 5/8 = 3/8
D.) 3/8 - 2/8 = 1/8
The answer is c because 8 - 5 is 3.
Mr. V has 3 3/4 lbs of chocolate chips and he puts 3/4 lb in each batch. How many batches can
he make?
Answer:
5 batches
Step-by-step explanation:
Total chocolate chips = 3 3/4 = 15/4
15/4 ÷ 3/4
15/4 × 4/3
= 5 batches
Simplify p^-8/7^-2q^-9
Answer:
[tex]\frac{7^2}{p^8 \cdot q^9}[/tex]
Step-by-step explanation:
[tex]\frac{p^{-8}}{7^{-2}} \cdot q^{-9} = \frac{\frac{1}{p^8}}{\frac{1}{7^2}} \cdot \frac{1}{q^9} = \frac{7^2}{p^8 \cdot q^9}[/tex] by the definition of negative exponents: [tex]a^{-b} = \frac{1}{a^b}[/tex] for all [tex]a,b[/tex] so long as [tex]a\ne 0[/tex].
The value of the exponential equation is A = 7²q⁹ / p⁸
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = p⁻⁸ / 7⁻² ( q ) ⁻⁹ be equation (1)
On simplifying the equation , we get
A = 7² ( q ) ⁹ / p⁸
Therefore , the value of A is 7²q⁹ / p⁸
Hence , the exponential equation is A = 7²q⁹ / p⁸
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The scale of a map is 1 cm : 75 km. What is the actual distance between two towns that are 5 cm apart on the map? The distance between the cities is ? km.
4/5 times 1/2 WHOEVER ANSWERS IN UNDER 2 MINUTS I WILL MARK BRAINLIEST
Answer:
2/5
Step-by-step explanation:
4/5*1/2
=2/5
How much should you invest at 5% annual interest rate to have the annual interest of $150?
Answer:
it is 7.5
Step-by-step explanation:
Answer:
It is 7.5
Step-by-step explanation:
Which expression represents 3 times the sum of 7 and m ?
Answer:
3 (7+m)
Step-by-step explanation:
The correct expression is,
⇒ 3 (7 + m)
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 algebraic expression is,
''3 times the sum of 7 and m''
Now, We can formulate;
⇒ 3 × (7 + m)
⇒ 3 (7 + m)
Thus, The correct expression is,
⇒ 3 (7 + m)
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2. Which expression is equivalent to 5-(-8)?
A (-5) + 8 B 8+5
C 8-5
D 5-8
1/9 ÷5/4 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
0.8888888888
Step-by-step explanation:
that decimal just convert it to a fractoin
4 1/2 - 1 2/3 = ?
what is the question mark ?
Answer:
17/6 LMK if you need a different form.
Step-by-step explanation:
Michael deposits $900 in a savings account
that pays 6.4% interest. What is the balance in
his account at the end of 3 years?
Answer:
$1084.10
Step-by-step explanation:
Help? I’ll give brainliest
9514 1404 393
Answer:
10,466.7 in^3
Step-by-step explanation:
The volume of a cone is given by ...
V = (1/3)πr^2·h
where r is the radius and h is the height. Using your numbers, we have ...
V = (1/3)(3.14)(20 in)^2·(25 in) = 10,466.7 in^3
_____
A more accurate value of π will give a different result.
Select five numbers that have 7, 13, and 3 as prime factors.
А
1,092
B
897
с
2,093
D
819
483
F
1,365
G
273
H
546
Answer:
ADFGH
Step-by-step explanation:
Good luck on your test!
The numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.
What is a prime factor?A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth. Now, we may also apply the so-called prime factorization, which actually involves using factor trees, for numbers.
The numbers having the prime factors 7, 13 and 3 are 1,092,819,1,365,273, and 546. Because all the numbers are completely divisible by the numbers 7, 13, and 3.
Therefore, the numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.
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Help me please
Determine the ratio for COS C in the picture below
Answer:
Step-by-step explanation:
Cos=opposite/hypotenuse
Cos C=32/40 or 4:5
Cos C=0.8
expand and simplify (x-3) (x+5)
Answer:
x^2 + 2x - 15
Step-by-step explanation:
(x-3)(x+5)
x^2 + 5x - 3x - 15
x^2 + 2x - 15
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{(x - 3) (x + 5)}}\\\\\large\text{DISTRIBUTE}\\\\\large\boxed{\mathsf{x(x) + 5(x) - 3(x) - 3(5)}}\\\\\large\boxed{\mathsf{x^2 + 2x - 15}}\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{x^2+ 2x - 15}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]A screening test for a newly discovered disease is being evaluated for its performance as a screening test. In order to determine the effectiveness of the new test, it was administered to 270 workers. A total of 42 individuals who had been diagnosed with the disease tested positive for it. Results showed a negative test for an additional 25 people with the disease. A total of 51 people without the disease tested positive. What is the sensitivity, specificity, positive predictive value, negative predictive value, and accuracy of the test
Answer:
- Sensitivity = 62.7 %
- specificity = 74.9 %
- positive predictive value = 45.2 %
- negative predictive value = 85.9 %
- Accuracy of the test = 71.9 %
Step-by-step explanation:
Given the data in th question;
CONDITION POSITIVE CONDITION NEGATIVE TOTAL
TEST POSITIVE 42 51 93
TEST NEGATIVE 25 152 177
TOTAL 67 203 270
so; A=42, B=51, C=25 and D=152
Sensitivity = [A / ( A + C) ]×100= [42 /( 42 + 25)]×100 = [42 / 67] 100=
Sensitivity = 62.7 %
specificity = [D / ( D + B) ]×100= [152 /( 152 + 51)]×100 = [152 / 203] 100=
specificity = 74.9 %
positive predictive value = [A / ( A + B) ]×100 = [42 /( 42 + 51)]×100 =[42/93] 100
positive predictive value = 45.2 %
negative predictive value = [D / ( D + C) ]×100 = [152 /( 152 + 25)]×100 =[152/177] 100
negative predictive value = 85.9 %
Accuracy of the test = [A + D / ( A+B+C+D)] = [42 + 152 / ( 42+51+25+152)]
= [ 194 / 270 ]
Accuracy of the test = 71.9 %
Reflect the figure across the x-axis then across the y-axis.
Answer:
A' is (-1,-1) B' becomes (-1,-4) C' becomes (-3,-1)
Step-by-step explanation:
To take a shortcut, reflecting a figure across both axes is the same as rotating a figure 180 degrees about the orgin using formula x,y goes to -x,-y but to explain it. Use formula (x,y) goes to (x,-y) to reflect it across x-axis then use formula (x,y) goes to (-x,y) to reflect it across y-axis. A' becomes -1,-1. B' becomes -1,-4 . C' becomes (-3,-1)
335.71 divided by 1000
What is the total cost of a $12.50 item plus 6% sales tax?
Answer: %13.56
Step-by-step explanation:
Mr. Pham mowed 2/7 of his lawn. his son mowed 1/4 of the lawn who mowed the most? How much of the lawn still needs to be mowed
Answer:
I believe the answer is 13/18
Step-by-step explanation:
if is not sorry but this is for 5th grade exit ticket only
find the roots of x^4-6x^2+8
In my Knowledge
x^4-6x^2+8=0
Is this correct please answer
Answer:
no need to skip a line between the office equipment and common stock.
Step-by-step explanation:
What is the solution of the equation 13 + b = 37?
b=
Answer:
13 + 24 = 37 the answer is 24
Step-by-step explanation:
Answer: 24
Step-by-step explanation: 37-13= 24
Use mental math, estimation, and the division algorithm to evaluate the expressions.
What is the answer ?
118.4 divided by 6.4 ?
Answer:
18.5
Step-by-step explanation: