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Answer:
30 grams
Step-by-step explanation:
The time 120 seconds is 4 times the half-life of 30 seconds. That means (1/2)^4 = 1/16 of the original amount will remain. That is (480 g)(1/16) = 30 g.
30 g of the radioactive rhodium will be left
Write the expression as a square of a binomial if possible
(1/2x +3)²
Refer to the above picture for complete calculation...
Answer:
Step-by-step explanation:
1/4 x^2 + 3x + 9
Answer: (1/2x + 3)^2
Now we have to explain it.
If it is going to be a binomial squared then it will be the square root of the first term and the square root of the third term.
[tex](\frac{\sqrt{1} }{\sqrt{4} } + \sqrt{9})^2[/tex]
[tex](\frac{1}{2}+3)^2[/tex]
the perimeter of rectangle math is 297 cm. the ratio of the length to width is 3:8. what is the width of the rectangle?
Answer:
Width = 108 cm
Step-by-step explanation:
Perimeter = 2 x (length + width)
297 = 2 x (length + width)
148.5 = Length + width
Ratio of Length to Width = 3 : 8
Sum of ratio = 11
[tex]Length = \frac{3}{11} \times 148.5 = 40.5 \ cm\\\\Width = \frac{8}{11} \times 148.5 = 108 \ cm[/tex]
What is the approximate circumference of a circle with a radius of 4?
1. 12.57
2. 25.13
3.50.27
4. 16
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle = 4.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The approximate circumference of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:≈\:25.13.}[/tex]
2.) 25.13 ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]
[tex] = 2 \times \frac{22}{7} \times 4 \\ \\ = \frac{176}{7} \\ \\ = 25.14[/tex]
Therefore, the circumference of the circle is ≈ 25.13.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
No links please :) Love you guys stay safe 3
Answer:
C
Step-by-step explanation:
I've completed the test before. :)
pls tell ineed now fast plss
Answer:
g = 12
Step-by-step explanation:
g + 7 - 4 = 15
g = 15 - 3 = 12
identify the angle type, then find the value of x
9514 1404 393
Answer:
acute anglex = 25Step-by-step explanation:
The angle shown is 75°. It is less than 90°, so is an acute angle. (The diagram is misleading in that respect.)
__
The two marked angles are vertical angles, so have the same measure.
3x° = 75°
x = 25 . . . . . . . . divide both sides by 3°
length of rope measures 8 3/4 km. If a piece of rope measuring 2 1/2 km was cut off, what length of rope remained? *
Answer:
6 1/4 simplified 25/4 decimal 6.25
Step-by-step explanation:
if the rope is 8 3/4 and you took away a piece that is equal to 2 1/2 which means you subtract them from each other to get your final answer of 6 1/4
Which function, g or h, is the inverse function for function ƒ?
Answer:
B.
Step-by-step explanation:
Remember that graphically, a function and its inverse are reflections over the line y = x.
Given the graph of f, we see that h is not a reflection over the line y = x. So, we can eliminate choices A and C.
Function g is indeed a reflection of y over the line y = x. A function and its inverse is not its reflection over the x-axis so D is incorrect.
Hence, our answer is B.
Answer:
The answer is B. " the function g because the graphs of ƒ and g are symmetrical about the line y = x"
A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent. What is the GREATEST allowable thickness of the metal square?
A. 0.0002 inches
B. 0.02 inches
C. 0.0202 inches
D. 0.03 inches
Answer:
A.0.0002 inch
Step-by-step explanation:
0.02 inch×1%=0.02 inch×1÷100
=0.0002 inch
If A metal square used in an electronic device must have a thickness of 0.02 inch, with an allowable error of 1 percent, the GREATEST allowable thickness of the metal square is 0.0202 inches. So, correct option is C.
The allowable error for the thickness of the metal square is given as 1 percent. To determine the greatest allowable thickness, we need to find 1 percent of the given thickness and subtract it from the given thickness.
Given thickness: 0.02 inches
1 percent of 0.02 inches = (1/100) * 0.02 inches = 0.0002 inches
Subtracting the 1 percent allowable error from the given thickness:
0.02 inches ± 0.0002 inches = 0.0198 inches or 0.0202 inches
Therefore, the greatest allowable thickness of the metal square is 0.0198 inches or 0.0202 inches.
Among the answer choices provided:
A. 0.0002 inches is the 1 percent allowable error, not the greatest allowable thickness.
B. 0.02 inches is the given thickness.
C. 0.0202 inches is the greatest allowable thickness.
D. 0.03 inches is greater than the greatest allowable thickness.
Hence, the correct answer is C. 0.0202 inches.
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3y=150, what is the value of y-2
Answer:
y = 48
Step-by-step explanation:
Start with the given 3y = 150.
Solve this for y by dividing both sides by 3: y = 50
Then y - 2 = 50 - 2, or
y = 48
The value of y-2 is 48,
What is an equation?Two expressions connected by an equal sign makes an equation.
Given is an equation, 3y = 150
Solving for y,
3y = 150
y = 150 / 3
y = 50
therefore, y-2 = 50-2
= 48
Hence, the value of y-2 is 48,
Learn more about equations, click;
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Nancy is baking a cake. The recipe calls for seven cups of flour and three cups of sugar . She already put in 1/2 a cup of flour. How many more cups of flour does need to add? Write your answer in decimal form.
Answer:
6 1/2................
Please help me!!
Complete the truth table for the statement A ∧ ~(B ∧ C).
A B C A ∧ ~(B ∧ C)
T T T
?
T T F
?
T F T
?
T F F
?
F T T
?
F T F
?
F F T
?
F F F
?
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Answer:
see attached
Step-by-step explanation:
The desired expression can be expanded to the sum of products form ...
A ∧ ¬(B ∧ C) = (A∧¬B) ∨ (A∧¬C)
It will only be true when A is true and one of B or C is false.
Dwayne improved his score on Commander
Quest from 65,720 to 88,722. By what percent
did his score increase?
Answer:
35%
Step-by-step explanation:
What was the numerical difference?
88722 - 65720 = 23002
Which number is the denominator for the % increase?
It must be 65720.
23002/ 65720 * 100 = 35%
So if we take 35% of 65720 and add it on to 65720 what do we get.
35/100 * 65720 + 65720 = 88722 just as we should.
A local running group collected data on the number of miles its group members run each week, x, and their average mile time, y. The results are shown in the table below. Weekly Mileage, x 10 25 12 10 15 20 22 25 20 24 Avg. Mile Time, y 9.3 8.75 8.2 5.5 6.3 8.5 6.7 6.35 5.45 6.25 Calculate the correlation coefficient using technology and interpret what it represents. The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, the average mile time decreases. The correlation coefficient of the data is 0.87, which means as the weekly mileage increases, the average mile time increases. The correlation coefficient of the data is 0.87, which means as the weekly mileage increases, it has no affect on the average mile time. The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.
Answer:
The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:
The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.
For the given data set, calculate the correlation coefficient using technology.
This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.
Answer:
The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:
The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.
For the given data set, calculate the correlation coefficient using technology.
This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.
I NEED HELP PLZ, PLZ, I NEED HELP, I AM BEGGING YOU
Answer:
tn = 8n -7
Step-by-step explanation:
given : t2=9, t4=25
the formula is:
tn = t1 + (n-1) d
gonna find d first:
d = (25-9) /(4-2) = 16/2 = 8
and find tn1:
t1 = 9-8 = 1
so, tn = 1 + (n-1) (8) = 1 +8n -8
tn = 8n -7
Answer:
Solution given
n th term[tn]=?
1st term =a
difference =d
we have
t2=9
a+(n-1)d=9
a+(2-1)d=9
a+d=9
a=9-d..................[1]
again
t4=25
a+(n-1)d=25
a+(4-1)d=25
now
substituting value of a
9-d+3d=25
2d=25-9
d=16/2
d=8
substituting value of d in equation 1.
,a=9-8
a=1
we have
tn term =a+(n-1)d=1+(n-1)8=1+8n-8=8n-7
n th term =8n-7
PLEASE HELP GEOMETRY!!!!
Solve for x in the diagram shown.
A) 3.2
B) 6.6
C) 8
D) 20
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Answer:
A) 3.2
Step-by-step explanation:
In this geometry, all of the right triangles are similar. This means side lengths are proportional:
short side/hypotenuse = x/8 = 8/20
x = 8×8/20 = 64/20
x = 3.2
Find the radius of the circle,
Answer:
the correct answer is option D. 7
Help please asp. !!!
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Answer:
(d) 101,376 square inches
Step-by-step explanation:
At $5.50 each, Larry can afford ...
$485/($5.50/board) ≈ 88.2 boards
Each of the 88 boards is 8 inches wide and 144 inches long, so the total area Larry can afford to cover is ...
(88)×(8 in)(144 in) = 101,376 in²
Solve. Use the basic percent equation. 212.5 is 85% of what?
Answer:
250
Step-by-step explanation:
85% · n = 212.5
[convert 85% to .85]
.85n = 212.5
n = 212.5/.85
n = 250
The running back for the Bulldogs football team carried the ball 7 times for a total loss of 8 3/4 yards. Find
the average change in field position on each run. Enter the average change as a simplified mixed number.
The average change in field position on each run was
yards.
Answer:
-1 1/4 yards
Step-by-step explanation:
7 carries
-8.75 yards total yardage
-.8.75 / 7 = -1.25 yards average per carry
In mixed number ? -1 1/4 yards
Find the area of the triangle.No links
Find the center and radius of x^2 + y^2 +6x - 7=0
Answer:
The center (-3, 0)
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Answer:
center: (-3, 0)radius: 4Step-by-step explanation:
The desired parameters can be found by putting the equation into the standard form for the equation of a circle:
(x -h)^2 +(y -k)^2 = r^2 . . . . . circle centered at (h, k) with radius r
The values of h and k will be half the coefficients of the linear x- and y-terms, respectively.
x^2 +6x +9 +y^2 -7 = 9 . . . . . add 9 to complete the square
(x +3)^2 +y^2 = 16 . . . . . . . . . add 7 to get the desired form
This equation shows us (h, k) = (-3, 0) and r = 4.
The center is (-3, 0), and the radius is 4.
Mr. Akika has 33 18 cent and 32 cent stamps all told. The stamps are worth $9.02. How many of each kind of stamp does he have? Mr. Akika has 18 cent stamps and 32-сent stamps Enter your answer in each of the answer boxes.
Answer:
Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.
Step-by-step explanation:
Given that Mr. Akika has 33 18 cent and 32 cent stamps all told, and the stamps are worth $ 9.02, to determine how many of each kind of stamp does he have the following calculation must be performed:
10 x 0.18 + 23 x 0.32 = 9.16
11 x 0.18 + 22 x 0.32 = 9.02
Therefore, Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.
Which pair of angles are vertical angles?
A)
B)
C)
D)
Answer:
Step-by-step explanation:
The angles opposite each other when two lines cross. They are always equal.
here,vertically opposite angles are
angle RQW and angle TQU
angle RQV ang angle SQU
angle SQR and angle UQV
angle WQV and angle SQT
15 34% is equal to which decimal
Answer:
0.44117647058824
15/34 as a decimal is 0.44117647058824.
Answer:
0,4411764706
Step-by-step explanation:
15/34=0,4411764706
Can y’all help me on question 18?!
Answer:
The answer is 220 cubic inches.
Step-by-step explanation:
To find the volume of the rectangular prism, use the formula for a rectangular prism, which is V= LWH. Next, plug in the information given from the question, and the formula will look like V= (10in) ([tex]5\frac{1}{2}[/tex] in) (4in).
Then, solve the equation for the answer, and the answer for the volume of the rectangular prism is 220 cubic inches.
Identify complementary angles in the given figure.
Answer:
<6 and <4
Step-by-step explanation:
Complemetary angles are angles that their measure add up to 90 degrees
the angles meet this requirment in this image are angle <6 and angle <4
The first step to solve the equation StartFraction x over 4 EndFraction minus three-fourths = 16 is shown below.
StartFraction x over 4 EndFraction minus three-fourths + three-fourths = 16 + three-fourths
Which property was applied in this step?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equalit
The jackals howled loudly in the forest change in to interrogative
Answer:
did, the jackles howled loudly in the forest ?
A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 20% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 10% during the current year. In addition, it estimates that 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.
Required:
a. What percentage of the employees will experience lost-time accidents in both years?
b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?
Answer:
a. 5% of the employees will experience lost-time accidents in both years
b. 24% of the employees will suffer at least one lost-time accident over the two-year period
Step-by-step explanation:
a. What percentage of the employees will experience lost-time accidents in both years?
20% last year, of those who suffered last year, 25% during this year. So
[tex]p = 0.2*0.25 = 0.05[/tex]
5% of the employees will experience lost-time accidents in both years.
b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?
5% during the two years.
10% during the current year. 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.
So the 10% is composed of 5% during both years(25% of 20%) and 5% of the 80% who did not suffer during the first year.
First year yes, not on the second.
75% of 20%. So, total:
[tex]0.05 + 0.05*0.8 + 0.75*0.2 = 0.24[/tex]
24% of the employees will suffer at least one lost-time accident over the two-year period
