Answer:
7
Step-by-step explanation:
5 x 7 = 35 or 35/5 = 7 [ correct me if i'm wrong ]
PLEASE HELP!!!please >_
Answer:
x =56 (corresponding angles are equal)
Answer:
56°
Step-by-step explanation:
Since these two lines are parallel, and these two angles are at the corresponding position, the required angle measure is 56
474 ( ) 548 42. - 8 how do I arrive at this answer.
9514 1404 393
Answer:
(64x^28)/(5y^22)
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
__
First, eliminate the outside exponent on the left factor. Then use the above rules to combine factors with the same base.
[tex]\displaystyle\left(\frac{4x^4}{5y^6}\right)^5\cdot\left(\frac{5^4y^8}{4^2x^{-8}}\right)=\frac{(4^5x^{20})(5^4y^8)}{(5^5y^{30})(4^2x^{-8})}=4^{5-2}5^{4-5}x^{20-(-8)}y^{8-30}\\\\=4^35^{-1}x^{28}y^{-22}=\boxed{\frac{64x^{28}}{5y^{22}}}[/tex]
Write in standard form 4.91E-2
Answer:
4.91e-2 in decimal form is 0.0491
(Right angle Trigonometry) Please help me solve and explain!
Answer:
31.3
Step-by-step explanation:
Reference angle given = 56.1°
Hypotenuse = 56.1
Adjacent side = x = ?
We would apply CAH, which is:
Cos 56.1° = Adj/Hyp
Cos 56.1° = x/56.1
56.1 × Cos 56.1° = x
31.2895006 = x
x = 31.3 (approximated to the nearest tenth)
Triangle ABC is the pre-image and triangle DFE is the image.
What is the scale factor of the dilation?
Please helppp!!!!!
Answer:
Scale factor = ½
Step-by-step explanation:
The original image is the preimage = ∆ACB
The new image is the image = ∆DFE
The scale of factor of dilation = image/preimage = DF/AC
DF = 6 cm (given)
AC = 12 cm (given)
Plug in the values into the equation to find the scale factor of dilation:
Scale factor = 6/12
Scale factor = ½
You deposit $ 755 each month into an IRA earning 1.3 % interest compounded monthly
How much will you have in the account in 23 years?
Answer:
FV= $242,731.14
Step-by-step explanation:
Giving the following information:
Annual investment (A)= $755
Number of periods (n)= 23*12= 276 months
Interest rate (i)= 0.013/12= 0.0010833
To calculate the future value, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit
FV= {755*[(1.0010833^276) - 1]} / 0.0010833
FV= $242,731.14
Graph the equation. Let x3, 2, 1, 0, 1, 2, and 3. y=3x-1
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The attachment shows the table of point values and the graph.
what does $42,690e(0.03)×(20) equal
Answer:
77,786.251
Step-by-step explanation:
Answer:
77,786.251 is the answer that equals $42,690e(0.03)×(20)
Step-by-step explanation:
hey mate hope this help you...!
What’s the volume of the rectangular prism in cubic meters
Answer:
Volume of the prism=60m3
Step-by-step explanation:
Volume of any prism=height*width*length
Volume of the prism=3m*5m*4m=60m3
Volume of the prism=60m3
The sum of two numbers is 56. Seven times the smaller number is 12 more than three times the larger number. Find the numbers.
Answer:
x = 18
y = 38
Step-by-step explanation:
Let the smaller number be = x
Let the larger number be = y
Sum of the number, x + y = 56 --------- ( 1 )
Seven times smaller number = 7x
Three times larger number = 3y
Seven times smaller = 12 more than 3times larger , 7x = 12 + 3y ----- ( 2 )
Solve ( 1 ) and ( 2 )
x + y = 56 => x = 56 - y
Substitute x in ( 2 )
7x - 3y = 12
7(56 - y) - 3y = 12
392 - 7y - 3y = 12
-10y = 12 - 392
-10y = - 380
y = 38
Substitute y in ( 1 )
x + y = 56
x + 38 = 56
x = 56 - 38
x = 18
a motor pumps out 6704.76 liters of water in 6 hours how many litres of water will it pump in one hour?
Answer:
Amount of water pumped out by the motor = 1117.46 liters
Step-by-step explanation:
Amount of water pumped out by the motor pump = 6704.76 liters
Time taken by the motor to pump the water = 6 hours
Rate at which the motor pumps out the water = [tex]\frac{\text{Amount of water pumped out}}{\text{Time taken to pump the water}}[/tex]
= [tex]\frac{6704.76}{6}[/tex]
= 1117.46 liters per hour
Therefore, amount of water pumped out by the motor = 1117.46 liters
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of accidents provided the following data. Sunday= 64, Monday=53, Tuesday=55, Wednesday=49, Thursday=55, Friday=68, Saturday=76. Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. What is the -value? Compute the value of the test statistic (to 3 decimals).
Answer:
Hence,
a)
Test statistic [tex]X^{2}[/tex] = 9.269.
p value = 0.148
b)
Sunday= 15.23%, Monday= 12.62%, Tuesday= 13.10%, Wednesday=11.67%,
Thursday= 13.10%, Friday= 16.19%, Saturday= 18.09%.
Step-by-step explanation:
a)
relative observed Expected Chi square
Category frequency(p) [tex]O_{i}[/tex] Ei=total*p [tex](O-E)^{2}[/tex] [tex]R^{2}_{i} =(O_{i} -E_{i} )^{2} /E_{i}[/tex]
1 0.142857143 64.0 60.00 16.00 0.267
2 0.142857143 53.0 60.00 49.00 0.817
3 0.142857143 55.0 60.00 25.00 0.417
4 0.142857143 49.0 60.00 121.00 2.017
5 0.142857143 55.0 60.00 25.00 0.417
6 0.142857143 68.0 60.00 64.00 1.067
7 0.142857143 76.0 60.00 256.00 4.267
Total 1.000 420 420 556 9.269
Test statistic [tex]X^{2}[/tex] = 9.269.
p value = 0.148 from excel: chidist(9.269,6)
b)
Percentage %= Frequency of traffic occur on category x 100 / Total number of frequency given.
Category Percentage%
Sunday 15.23%
Monday 12.62%
Tuesday 13.10%
Wednesday 11.67%
Thursday 13.10%
Friday 16.19%
Saturday 18.09%
b.) The number of boys and girls in a class are in the ratio 9:3. The number of boys is 16 more
than the numbers of girls. What is the total class strength
Answer:
9/3::16x/X
Step-by-step explanation:
do in this way the answer will come
Answer:
32 students
Step-by-step explanation:
9 : 3
9 - 3 = 6
6 : 16
9 + 3 = 12
12 : y
[tex]\frac{6}{16} :\frac{12}{y}[/tex]
y · 6 = 12 · 16
6y = 192
6y ÷ 6 = 192 ÷ 6
y = 32
312/132 (fraction simplified as a mixed number)
Answer:
2.3636363636 or 2 4/11
Anne invested $1000 in an account with a 3% annual interest rate. She made no deposits or
withdrawals on the account for 2 years. If interest was compounded annually, which equation
represents the balance in the account after the 2 years?
What number must be added to both the numerator and denominator of the fraction 2/5 to get 7/8?
a) 13
b) 15
c) 17
d) 19
Please help me Thank you
Step-by-step explanation:
help me you nedd to add position
Which phrases can be represented by the algebraic expression 2x + 1? Check all that apply.
two times a number plus 1
a number plus 2
twice a number and one
two more than a number and one
twice the product of a number added to 1
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
Match each expression on the left with its equivalent on the right. Some answer choices on the right will not be used.
Answer:
8200 * 100 = 820,00
820,000 ÷ 10 = 82,000
820 * 10 = 8200
82,000 ÷ 1,000 = 82
Step-by-step explanation:
Love your username btw
Arithmetic operations contain operations such as Addition, Subtraction, Multiplication, and Division.
What is meant by arithmetic operations?Arithmetic operations exist as a branch of mathematics, that concerns the analysis of numbers and operation of numbers that exist valid in all the other constituents of mathematics. It essentially contains arithmetic operations such as Addition, Subtraction, Multiplication, and Division.
8200 [tex]*[/tex]100 = 8,20,000
820000 ÷ 10 = 82,000
820 [tex]*[/tex] 10 = 8,200
82000 ÷ 1000 = 82
To learn more about arithmetic operations
https://brainly.com/question/26176335
#SPJ2
ABCD is a kite, so AC DB and DE = EB. Calculate the length of AC, to the nearest tenth of a centimeter.
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Answer:
AC ≈ 6.8 cm
Step-by-step explanation:
For legs a and b of a right triangle with hypotenuse c, the Pythagorean theorem tells us ...
a = √(c² -b²)
Using this relation, we can find legs CE and AE.
CE = √(3² -2²) = √5
AE = √(5² -2²) = √21
AC is the sum of these two lengths:
AC = AE +EC = √21 +√5
AC ≈ 6.8 cm
HELP!!!! NUMBER 2
2. Find the distance between these two points.
First Point
Second Point
Distance
(5, - 2)
(8,6)
(5,6)
(-3,6)
(-3,6)
(5,-2)
Answer:
1. 8
2 . 11
[tex]3 . \sqrt{128} \ or \ 8 \sqrt2[/tex]
Step-by-step explanation:
[tex]Distance = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2 }[/tex]
1 . ( 5 , - 2 ) and ( 5 , 6 )
[tex]Distance = \sqrt{(5 -5)^2 + ( 6-(-2))^2} = \sqrt{ 0 + 8^2 } = \sqrt{64} = 8[/tex]
2 . ( 8 , 6 ) and ( - 3 , 6 )
[tex]Distance = \sqrt{( -3 -8)^2 + ( 6 - 6)^2 } = \sqrt{ (-11)^2 + 0 } = \sqrt { 121 } = 11[/tex]
3. ( 5 , - 2 ) and ( -3 , 6 )
[tex]Distance = \sqrt{(-3 - 5)^2 + ( 6 --2)^2} = \sqrt{(-8)^2 + ( 8)^2} = \sqrt{ 64 + 64 } = \sqrt{128}[/tex]
[tex][ \ \sqrt{128} = \sqrt{ 2 \times 64} = \sqrt{ 2 \times 8^2 } = 8 \sqrt{2} \ ][/tex]
Hi, could someone help me solve this. so the question says to find the area of the shaded part (in black) , in terms of pie (π). the length of the square is 12 cm. the radius of the circle is 6cm. i came with the answer of (144-36π)/4. is this ok? below is the picture of the question.
Answer:
yes but can be simplified
Step-by-step explanation:
area of shaded part = ( area of square - area of circle ) / 4
= [tex]\frac{12^2-\pi (6)^2}{4}[/tex]
= [tex]\frac{144-36\pi }{4}[/tex]
= [tex]\frac{144}{4}[/tex] - [tex]\frac{36\pi }{4}[/tex]
= 36 - 9π
Write an equation and solve for x. Show all your work.
Answer:
x=63
Step-by-step explanation:
Because we know that the total angle is a right angle (see the square in the top right of the problem), and 25 and x+2 constitute as the only two angles making up the total angle, we can say that 25 and x+2 are complementary, meaning they add up to 90 degrees. We can then write our equation as follows:
25 + (x+2) = 90
27+x=90
Subtract 27 from both sides
x=63
Use the distributive property to write the next step in simplifying th
numerical expression
7(2 + 7)
A. 7• 2+7•7
B. 7• 2+7
C. (7+2) • (7 + 7)
D. 7+2 • 7+ 7
Answer:
A)
Step-by-step explanation:
What is the midpoint of the line segment connecting the points (-4, 5) and (4,7)?
Answer:
(0,6)
Step-by-step explanation:
Answer:
(0,6)
Step-by-step explanation:
We need to find the midpoint of the line segment having end points (-4,5) and (4,7). So, here we can use the Midpoint Formula :-
Points :- (-4,5) and (4,7).
Using Midpoint Formula ,
[tex]\rm\implies Midpoint =\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)[/tex]
Substitute the respective values ,
[tex]\rm\implies Midpoint =\bigg(\dfrac{-4+4}{2},\dfrac{7+5}{2}\bigg)[/tex]
Simplify the numbers ,
[tex]\rm\implies Midpoint =\bigg(\dfrac{0}{2},\dfrac{12}{2}\bigg)[/tex]
This equals to ,
[tex]\rm\implies \boxed{\blue{\rm Midpoint =\bigg( 0,6\bigg)}}[/tex]
Hence the midpoint is (0,6) .
RT = 29, RS = 2x + 1, ST = 6x + 4. What is the length of RS?
Answer:
7
Step-by-step explanation:
Given
RT=29
RS=2x+1
ST=6x+4
Now,
From the figure attached
RT=RS+ST
29=2x+1+6x+4
29=8x+5
29-5=8x
24=8x
x=3
Now,
Length of RS can be calculated as:
RS=2x+1
RS=2(3)+1
RS=7
Answer is 7
Solve the exponential equation: 210 = 42x
Answer:
to get x you need to divide
210/42= 5
x=5
210 = 42x
210/42=5
42*5=210
so remove the x it'd be 210 = 42(5)
x = 5
Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+ - =-4
a-25+2c=6
1
0
0
2
1
0
-2.
0
0
1
0
1
0
0
1
0
1
0
- 2
0
0
1
0
2
1
1
2.
-4
Answer:
The one that's include a rows 2 1 1 2
Answer:
A
Step-by-step explanation:
they wanted the reduced echelon form.
On Edge. btw
please solve fast please
Answer:
3/6 =1/25/6pls give me brainliest plzzzzz
find the area of the following figures:
Answer:
Area = 156 square cm
Step-by-step explanation:
