A. 234 cm
multiply the given length value ( 234 ) by 10.
[tex]234 \times 10[/tex]
[tex] = 2340 \: mm[/tex]
B. 15m
multiply the given length value ( 15 ) by 1000.
[tex]15 \times 1000[/tex]
[tex] = 15000 \: mm[/tex]
C. 25km
multiply the length value ( 25 ) by 1000000.
[tex]25 \times 1000000[/tex]
[tex] = 25000000 \: mm[/tex]
a)
234 × 10
= 2340 millimeters
b)
15 × 1000
= 15000 millimeters
c)
25 × 1000000
= 25000000 millimeters
A person invests 8000 dollars in a bank. The bank pays 6.25% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10800 dollars
Answer:
4.8 years
Step-by-step explanation:
10 800 = 8000 e^(i t) i = decimal interest per year t = years
10800/8000 = e^(.0625 t) ln both sides
.300 = .0625 t
t = 4.8 years
The Kakkar family is building a circular swimming pool. If the radius of the pool is 6 feet, What is its circumference? Use π = 3.14 to solve.
Work Shown:
C = 2*pi*r
C = 2*3.14*6
C = 37.68
Using the digits 0-9, no more than once, complete the puzzle so that the sum of each side is equivalent.
Answer:
[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]
Step-by-step explanation:
[tex]\begin{matrix}a&e&b\\ f&&g\\ c&h&d\end{matrix}[/tex]
From the table,we can extract these equations:
a + e + b = a + c + f = b + g + d = c + h + d
a + e + b = a + c + f ⇒ e + b = c + f
b + g + d = c + h + d ⇒ b + g = c + h
[tex]\begin{Bmatrix}e+b=c+f\\ b+g=c+h\end{Bmatrix} \Longrightarrow g-e=h-f\Longrightarrow g+f=h+e[/tex]
2 + 3 = 4 + 1 then let’s consider :
e = 2 ; h = 3 ; f = 4 ; g = 1 ,which satisfies g + f = h + e
The table becomes:
[tex]\begin{matrix}a&2&b\\ 4&&1\\ c&3&d\end{matrix}[/tex]
From the equation b + e = c + f we get b + 2 = c + 4 then b = c + 2
If we consider c = 5 ⇒ b = c + 2 = 5 + 2 = 7
Then the table becomes
[tex]\begin{matrix}a&2&7\\ 4&&1\\ 5&3&d\end{matrix}[/tex]
Then a + 9 = d + 8 ⇒ d = a + 1
If we consider a = 8 ⇒ d = 9
[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]
I know it’s not perfect reasoning ,but it may help.
What is the solution to this equation?
m – 3 = 9
m=9
m=6
m=3
m=12
Answer: m=12
Step-by-step explanation:
Answer:
m=12
Step-by-step explanation:
m - 3 = 9
You have to make sure
that m stands alone,
that's making m the subject.
So -3 have to cross the equal to sign,
to become +3
m = 9 + 3
m = 12
Hope this help. I wish you all the best
How do you add these two consecutive triangular numbers?
TR(4)+TR(3)
The n-th trianglar number is given by
[tex]T_n = \dfrac{n(n+1)}2[/tex]
Then
[tex]T_4 + T_3 = \dfrac{4\times5}2 + \dfrac{3\times4}2 = \boxed{16}[/tex]
Alternatively, the triangular numbers are defined recursively by
[tex]\begin{cases}T_1 = 1 \\ T_n = T_{n-1} + n & \text{for } n>1\end{cases}[/tex]
This means
[tex]T_1=1[/tex]
[tex]T_2 = T_1 + 2 = 3[/tex]
[tex]T_3 = T_2 + 3 = 6[/tex]
[tex]T_4 = T_3 + 4 = 10[/tex]
so that
[tex]T_3+T_4=\boxed{16}[/tex]
24. Write a formula to estimate the amount of material required to cover Firm 3's structure, not including the floor. Explain your reasoning. (2 points: 1 for the formula, 1 for the explanation)
Formula to estimate the amount of material required to cover firm 1's structure not including the floor is; πr² + πrh
How to Generate Formulas?
From the complete question seen online,
The given parameters are;
The shape of the firm 1's structure = Cylindrical shape
The radius of the firm 1's structure = 35
Height of firm 1 structure = 60
The amount of material to cover the firm 1 structure not including the floor = The surface area of a cylinder excluding the base
The formula for the surface area of a cylinder = 2πr² + πrh
If we take away the area of the base, we have;
Surface area of a cylinder excluding the case = 2πr² + πrh - πr² = πr² + πrh
Formula to estimate the amount of material required to cover firm 1's structure not including the floor = πr² + πrh
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grace likes jeffery what will she do ?
Answer:
2,964
Step-by-step explanation:
52 x 57 = 2,964
Write an equation in slope-intercept form for the line with slope 8 and y-intercept 9.
Answer:
y = 8x + 9
Step-by-step explanation:
Slope-intercept form of an equation is a fill-in-the-blank formula for writing an equation of a line. It is in the form:
y = mx + b
where m is the slope and b is the y-intercept (hence the name) In the problem slope is given, fill it in for m, next to the x. Y-intercept is given in the question also, fill it in in place of b.
y = 8x + 9
RIGHT triangular prisms A and B are congruent. What is the volume of prism B? A) 420 in3 B) 1080 in3 C) 2160 in3 D) 32400 in3
Answer: B
Step-by-step explanation:
can someone help me with this? thank you!
Answer:
V = 240 [tex]cm^{3}[/tex]
Step-by-step explanation:
To find the volume of a rectangular prism use this equation:
V = l*w*h
l = length (20 cm)
w = width (4 cm)
h = height (3 cm)
Plug all these values into the equation and solve:
V = (20 cm)(4 cm)(3 cm)
V = (80 [tex]cm^{2}[/tex])(3 cm)
V = 240 [tex]cm^{3}[/tex]
Therefore, the volume of the rectangular prism is 240 [tex]cm^{3}[/tex].
I hope this helps! Good luck!
i just dont know the answer
Answer:
(3,7) (4,4) (1,2)
Step-by-step explanation:
180 degrees: (x, y) —> (-x, -y)
PLEASE HELP!!
Oakdale Farms grew two different varieties of tomatoes last summer. When
the tomatoes were fully grown, they took a sample of each variety and
compared their weights.
Answer:
D
Step-by-step explanation:
it's because of simple logic
Logan's solution and reasoning for solving an equation are shown below:
Given
Step 1: x-10-50 Reason 1: Given
Step 2
x-10+10=50+10 Reason 2 Addition Property of Equality
Step 3
60
Reason 3 Simplity
Step 4:
<= 60
Reason 4: Division Property of Equality
Step 5.
x = 40
Reason 5: Simplity
Choose which reason is incorrect.
O Reason 2
O Reason 3
O Reason 4
O Reason 5
Answer:
Logan's solution and reasoning for solving an equation are shown below:
Given
Step 1: x-10-50 Reason 1: Given
Step 2
x-10+10=50+10 Reason 2 Addition Property of Equality
Step 3
60
Reason 3 Simplity
Step 4:
<= 60
Reason 4: Division Property of Equality
Step 5.
x = 40
Reason 5: Simplity
Choose which reason is incorrect.
O Reason 2
O Reason 3
O Reason 4
Step-by-step explanation:
The description for a certain brand of house paint claims a coverage of 410 ft2/gal. How many liters of paint are required to apply a single coat of paint to the (4) walls of a 7.7 m by 14.8 m room with a height of 2.4 m
Answer:
10.7 liters of paint requiredStep-by-step explanation:
Dimensions of the room
7.7 m by 14.8 m with the height of 2.4 mFind the surface area of the 4 walls
A = Ph = 2(l + w)h = 2(7.7 + 14.8)*2.4 = 108 m²Convert the area to ft²
108 m² = 108*10.7639 ft² = 1162.5012 ft²Find the amount of paint required
1162.5012/410 = 2.84 gal (rounded)Covert the volume to liters
2.84 gal = 2.84*3.76 l = 10.7 l (rounded)Why is apr an important tool for consumers
Answer:
APR, or annual percentage rate, is your interest rate stated as a yearly rate. An APR for a loan can include fees you may be charged, like origination fees. APR is important because it can give you a good idea of how much you'll pay to take out a loan.
Find the area of the triangle ABC with the coordinates of A(10, 5), B(15, 15), and C(30, 9).
A = units²
Answer: 90
Step-by-step explanation:
The circle graph shows how Elsa divides her time between all of the sports she plays per week.
Elsa played sports for 20 hours last week. How many more hours did she play baseball than volleyball?
Answers:
A:1
B:3
C:4
D:5
The number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3
Calculating time spent on sportFrom the question, we are to determine how many hours Elsa played baseball than volleyball
From the given information,
Elsa played sports for 20 hours
From the circle graph,
She spent 25% of the time on baseball
Time spent on baseball = 25% × 20 hours
Time spent on baseball = (25/100) × 20 hours
Time spent on baseball = 0.25 × 20 hours
Time spent on baseball = 5 hours
For time spent on volleyball
From the circle graph, she spent 10% of the total time on volleyball
Time spent on volleyball = 10% × 20 hours
Time spent on volleyball= (10/100) × 20 hours
Time spent on volleyball= 0.1 × 20 hours
Time spent on volleyball= 2 hours
The number of more hours spent on baseball than volleyball
= 5hours - 2 hours
The number of more hours spent on baseball than volleyball = 3 hours
Hence, the number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3
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In how many ways can we color the $8$ vertices of an octagon each red, green, or blue, so that no two adjacent vertices are the same color
There are 258 ways to color the octagon such that no two adjacent vertices are the same color
How to determine the number of ways?The given parameters are:
Sides, n = 8 --- the sides of an octagonColors, r = 3 i.e. red, green and blueSince no two adjacent vertices are the same color, we use the following chromatic polynomial of an octagon equation
Ways = (r - 1)⁸ + (r -1)
Substitute 3 for r
Ways = (3 - 1)⁸ + (3 -1)
Evaluate
Ways = 258
Hence, there are 258 ways to color the octagon
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The coordinates of the endpoints of the diameter of a circle are (-1, 5) and (3, -1). The center of the circle has coordinates
Answer: (1,2)
Step-by-step explanation:
The center of the circle is the midpoint of the diameter, so using the midpoint formula, we get the answer to be [tex]\left(\frac{-1+3}{2}, \frac{5-1}{2} \right)=\boxed{(1,2)}[/tex]
Prove .. help me pls
Answer:
Step-by-step explanation:
What is the value of x?
29
12
7.3
25.2
Answer:
25.2
Step-by-step explanation:
Secant-Tangent Formula:
(whole secant) x (external part) = (tangent)^2
(41+12) * 12 = x^2
( 53) * 12 = x^2
636= x^2
Taking the square root of each side
sqrt(636) = x
25.2=x
Answer:
25.2
Step-by-step explanation:
This is an intersection of a tangent and a secant.
Donna earns $1,404 per week at her job. However, 19% of her income gets taken out in taxes, and 12% of her income gets taken out and put into her retirement account.
Answer:
Step-by-step explanation:
A reasonable estimate of the amount Donna is left with each week after the money is deducted: $980. 1404*.19=266.76 ; 1404*.12=168.48 ; 1404-266.76-168.48=968.76 or estimated as $980.
Given the pyramid, calculate the SURFACE AREA and VOLUME. (please help ASAP)
The elevator at the local mall has a weight limit of 1,800 pounds and requires that the maximum person allowance be no more than nine people. let represent the number of people. write an inequality to describe the maximum allowance of people allowed in the elevator at one time.
Answer: 9? I’m not sure but it seems like it’s 9 as it mentions it in the problem
Solve the linear system:
y = 3 – 4x
y= 4+ 1/2x
· (3,5)
·(-0.22, 3,89)
·(3.2, 5.6)
·(-1,7)
The answer is:
(-2/9, 35/9) in rounded decimal form is (-0.22, 3.89)
x = - 2 / 9 which in decimal form as well as rounded is -0.22
y = 35 / 9 which in decimal form as well as rounded is 3.89
Hope this helps...
Can someone please help me with b and C questions
Answer:
(b) 33919
(c) 8 ¹/₃
Step-by-step explanation:
⇒ 317 × 107 = (300 + 10 + 7)(100 + 7)
= 300(100 + 7) + 10(100 + 7) + 7(100 + 7)
= 30000 + 2100 + 1000 + 70 + 700 + 49
= 30000 + 2000 + 100 + 1000 + 70 + 700 + 40 + 9
= 30000 + 2000 + 1000+ 700 + 100 + 70 + 40 + 9
= 30000 + 3000 + 800 + 110 + 9
= 30000 + 3000 + 800 + 100 + 10 + 9
= 30000 + 3000 + 900 + 10 + 9
= 33919
[tex]\begin{aligned} 5\frac{2}{3}+3\frac{1}{2}-\frac{5}{6}&=\dfrac{5 \times3+2}{3}+\dfrac{3 \times 2+1}{2}-\dfrac{5}{6}\\\\&=\dfrac{17}{3}+\dfrac{7}{2}-\dfrac{5}{6}\\\\& =\dfrac{17 \times 2}{3\times 2}+\dfrac{7\times 3}{2\times 3}-\dfrac{5}{6}\\\\ & = \dfrac{34}{6}+\dfrac{21}{6}-\dfrac{5}{6}\\\\ & = \dfrac{34+21-5}{6}\\\\ & = \dfrac{50}{6}\\\\&=8\frac{1}{3}\end{aligned}[/tex]
Liz had 10 candies. She ate 4 of them. How many candies are left?
Answer: 6
Step-by-step explanation: 10-4=6
Based on the end behavior of the graph, which polynomial function is graphed here?
graph of f(x) = -3x^4 - 6x^3 - 2x^2 + x + 3
A.
f(x) = 3x4 − 6x3 − 2x2 + x + 3
B.
f(x) = -3x3 − 2x2 + x + 3
C.
f(x) = -3x4 − 6x3 − 2x2 + x + 3
D.
f(x) = 3x3 − 2x2 + x + 3
Answer:
C) [tex]f(x)=-3x^4-6x^3-2x^2+x+3[/tex]
Step-by-step explanation:
As the graph of the function has 3 turning points, then it cannot be options B or D because the function would've had 2 turning points at most.
Also, since the graph of the function opens downward, the leading coefficient must be negative, so C must be the correct answer.
Using the slope formula, find the slope of the line through the given points.
(6,9) and (4,3)
Answer:
Slope is 3.
Step-by-step explanation:
Slope formula
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
m ... slope
Two points on the line are (x1, y1) and (x2, y2).
Now let's insert the coordinates of points (6,9) and (4,3) in the slope formula.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{9 - 3}{6 - 4}\\\\m = \frac{6}{2}\\\\m = 3[/tex]
You could also do [tex]m = \frac{3-9}{4-6}[/tex] and would get the same result.
NEED TO PASS HELP WILL GIVE BRAINLY!!!
Answer:
[tex]\bigodot[/tex] None of the other answers are correct.
Step-by-step explanation:
[tex]2b^2-3b+85=-5[/tex] (Given)[tex]\implies 2b^2-3b+85+5=0[/tex][tex]\implies 2b^2-3b+90=0[/tex]Comparing it with the general form of quadratic equation [tex]ax^2+bx+c=0,[/tex] we find:a = 2, b = -3, c = 90Next, we find the value of the discriminant [tex] b^2-4ac[/tex][tex] b^2-4ac= (-3)^2-4(2)(90)=9-720=-711<0[/tex][tex] \because b^2-4ac<0[/tex], which means the roots of the given quadratic equation are non-real or imaginary.Thus, last option is the correct answer.