5.03 × 10^7
(word format): 5 and 3 hundredths times 10 to the 7th power
Answer:5.03 x 10^9
Step-by-step explanation:
3. The sum of Ben and Jerry's ages are 47. Jerry is 9 years older than Ben How old are Ben
and Jerry?
(HELP ME!!!)
Answer:
Ben has 38 years older and jerry is 9 years old
the base of a rectangular prism is 6 in · 7 in. what is the lateral area of the prism? 134 cm 2 168 cm 2 182 cm 2 266 cm 2
The lateral area of the prism is 182 in².
A three-dimensional structure with two triangle bases and three rectangle sides is called a triangular prism. The two bases are congruent and parallel to one another. It contains 5 faces, 6 vertices, and 9 edges altogether. There are three rectangular sides connecting the vertices and edges of both bases.
The dimensions of the base of a rectangular prism is given as 6 in × 7 in.
A triangular prism's lateral area is equal to the sum of its side faces' areas (which are 3 rectangles). Specifically, it is the total surface area less the surface areas of the two bases. Additionally called the lateral surface area (LSA).
Therefore, the lateral area of the prism is:
LA = 2 ( 6 × 7 ) + 2 ( 7 × 7 )
LA = 2 × 42 + 2 × 49
LA = 84 + 98
LA = 182 in²
Therefore, the lateral area of the prism is 182 in².
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pls solve this question step by step.
Answer:
Daughter is 14 and son is 10==========================
Let the present ages be:
Daughter - d, son - sSet equations8 years ago:
d - 8 = 3(s - 8)At present:
d = s + 4Simplify and substitute d into the first equation:
d - 8 = 3s - 24d = 3s - 16s + 4 = 3s - 163s - s = 4 + 162s = 20s = 10Find d:
d = 10 + 4 = 14A car can travel 24 miles for every 1 gallon of gasoline.
How many miles can the car travel on 9.8 gallons?
The degree of - 7xy4 is?
Answer:
The degree of the polynomial is 5
Step-by-step explanation:
When we talk of the degree of a polynomial, we refer to the highest power
The highest power here is 4 but that is not the degree in this case
If we notice, there are two different variables attached to the number
One has a degree of 4 and the other has a degree of 1
What we do here is to add these degrees together
The addition of both is 5 and that is the degree of the polynomial
Directions: Locate the following Irrational Numbers on a number line.
1. √13
2. √22
3. √47
4. √63
5. √72
The locations of each irrational numbers can be estimated as follows:
The irrational number √13 is close to 4 and greater than it. The irrational number √22 is close to 5 and less than it. The irrational number √47 is close to 7 and less than it. The irrational number √63 is close to 8 and less than it. The irrational number √72 is close to 8 and greater than it.How to locate irrational numbers on a number line
Irrational numbers are real numbers that are not rational, that is, numbers of the form m / n, where m and n are integers and n is different of zero. But it is also known that rational numbers can have an irrational-like presentation not being so (i.e. √4 = 2, √9 = 3). We can estimate the location of each irrational numbers in terms of rational numbers:
The irrational number √13 is between √9 = 3 and √16 = 4, where √13 is closer to 4.The irrational number √22 is between √16 = 4 and √25 = 5, where √22 is closer to 5.The irrational number √47 is between √36 = 6 and √49 = 7, where √47 is closer to 7.The irrational number √63 is between √49 = 7 and √64 = 8, where √63 is closer to 8.The irrational number √72 is between √64 = 8 and √81 = 9, where √72 is closer to 8.To learn more on irrational numbers: https://brainly.com/question/4031928
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each side of a square family room is 6 meters long. What is the family room's area?
Answer:
36
Step-by-step explanation:
since the formula for a square is length times width, and that is 6 x 6 which is 36
Plz mark as brainliest
-3x + 7 - 5x < 15 true
Answer:
x>-1
Step-by-step explanation:
Y=-2x + 1
What is the value of y? (-5,___)
Answer: y=−2x+1
Step-by-step explanation:
could use some help with answering this. :)
Answer: r = 2
Step-by-step explanation: The general equation is:
(x-a)² + (y-b)² = r²
where (a,b) = coordinates of the center, and r = radius
x² + y² = 4 is the same as
(x-0)² + (y-0)² = 2²
So, the center is at (0,0) and the radius is 2.
I don't understand how to solve this problem. could someone please explain the steps to solve by factoring the polynomial? 49k^4 - 9
The roots of the given polynomial are ±3/7 and ± [tex]\frac{\sqrt{3} }{\sqrt{7} }[/tex].
What is a polynomial ?A polynomial has 2 or more than two terms connected by mathematical operations.A polynomial of degree n has n no. of roots real or imaginary.
A polynomial can be formed as a₁xⁿ + a₂xⁿ⁻¹ + a₃xⁿ⁻² + ...+ aₙx⁰.
According to the given question we have to solve a polynomial of degree 4.
Given, 49k⁴ - 9 = 0
49k⁴ = 9
k⁴ = 9/49
k² = 3/7
k = [tex]\frac{\sqrt{3} }{\sqrt{7} }[/tex].
We know that a polynomial of degree n has n no. of roots.So a polynomial of degree 4 have 4 roots and they are ±3/7 and ± [tex]\frac{\sqrt{3} }{\sqrt{7} }[/tex].
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hi just wanted to give u extra points and see if you liked my run off math project abt sporks
(run off of twilight forks)
Step-by-step explanation:
Wait that's really interesting, what grade did you get on it? (Thank you for the points.)
PLEEEAASSEEEEE HELPP
‼️‼️‼️‼️‼️‼️‼️‼️
determine whether each graph represents a function. yes or no for each graph
Answer:
yes no yes no yes no yes no
Answer:
1 yes 2 yes 3 no
Step-by-step explanation:
1 and 2 pass the vertical line test and 3 doesnt it intersects in two places
The length of the base of a rectangle is 6 less than 3 times the width. The perimeter of the rectangle is 52 inches. What is the length of the base?
Answer:
The rectangle has a width of 18 inches and a height length of 8 inches.
Step-by-step explanation:
The perimeter of a rectangle is described by the equation:
[tex]p = 2w + 2l[/tex]
where l is width, h is height, and p is perimeter.
We're also told that the total perimeter is 52 inches.
We're also told that the length is six inches less than three times the width. We can express that as [tex]w = 3l - 6[/tex].
We can plug that definition of w into the perimeter equation to find the length:
[tex]p = 2w + 2l\\52 = 2(3l - 6) + 2 * l\\52 = 6l - 12 + 2l\\52 + 12 = 8l\\8l = 64\\l = 64/8\\l = 8[/tex]
Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:
[tex]p = 2w + 2l\\52 = 2w + 2(8)\\52 = 2w + 16\\36 = 2w\\w = 36 / 2\\w = 18[/tex]
So the width is 18
PLS HELP, Urgent! When conducting the vertical line test, how many times should the vertical line intersect the graph if the relationship is a function?
An airplane is flying from New York City to Los Angeles. The distance it travels in miles d, is related to the time in seconds, t, by the equation d=0.15t. Do NOT include units with your answer.A. How fast is it flying in miles per second?B. How far will it travel in 30 seconds?C. How long will it take to go 12.75 miles?
Answer:
A. 0.15
B. 0.45
C. 85
Step-by-step explanation:
Given that:
Equation to represent the relation between distance, [tex]d[/tex] in miles and time [tex]t[/tex] in seconds:
[tex]d=0.15t[/tex]
A.
To find: The speed of airplane in miles per second.
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Here, we will have to find the value of [tex]\frac{d}{t}[/tex].
Dividing the given equation by [tex]t[/tex], we get:
[tex]\dfrac{d}{t}=0.15[/tex]
[tex]d[/tex] is in miles and [tex]t[/tex] is in seconds.
Therefore, the answer is 0.15.
B.
Distance traveled in 30 seconds.
Given that: [tex]t[/tex] = 30 seconds
To find: [tex]d = ?[/tex] in miles
[tex]d = 0.15\times 3 = 0.45[/tex]
C.
The time taken to travel a distance of 12.75 miles.
Given that : [tex]d =12.75\ miles[/tex]
To find: [tex]t = ?[/tex] seconds
[tex]12.75 = 0.15t\\\Rightarrow t = \dfrac{12.75}{0.15}\\\Rightarrow \bold{t = 85}[/tex]
A company makes cell phones in two different factories, one abroad and one more local. At the factory abroad it takes 30 hours to produce the cellphone and at the local factory it takes 20 hours. The costs of producing these cell phones are $20 each at the factory abroad and $60 each at the local factory. The company's total labor force can provide 6000 hours of labor each week and total resources are $12,000 each week. How many cell phones should the company make at each factory to maximize the amount of phones produced?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of phones produced abroad and y represent the number of phones produced locally.
The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:
30x + 20y = 6000 (1)
Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:
20x + 60y = 12000 (2)
Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:
70x = 6000
x = 600/7 ≈ 86
Put x = 86 in equation 1:
30(86) + 20 y = 6000
20y = 3420
y = 171
86 phones should be produced abroad and 171 phones locally
What operation is being done to the variable in the equation -5m = -40?
It's being multiplied by -5.
It's being multiplied by -40.
It's being divided by -5.
It's being divided by -40.
Answer:
[tex]\textbf{It's being divided by -40}[/tex]
Step-by-step explanation:
-5m = -40
-5m/-40
hope it helps!
Curtis plays a trivia game he earns 2 points for each correct answer and loses 0.25 points for each incorrect answer he get 21 correct points answers and 4 incorrect answers. What is his score for the game?
Answer:
41
Step-by-step explanation:
Curtis is playing a trivia game.
Number of points earned for each correct answer = 2
Number of points lost for each correct answer = 0.25
Given that:
Number of correct answers given by Curtis = 21
Number of wrong answers given by Curtis = 4
To find:
Total score of the game by Curtis?
Solution:
First of all, let us find the points earned by correct answers.
Points earned by correct answers = Number of correct answers multiplied by Points earned on one correct answer.
Points earned by correct answers = 21 [tex]\times[/tex] 2 = 42
Now, let us find the points to be lost by wrong answers.
Points lost by wrong answers = Number of wrong answers multiplied by Points lost on one correct answer.
Points lost by wrong answers = 4 [tex]\times[/tex] 0.25 = 1
The score of the game can be calculated by subtracting the points lost from the points earned.
Score = 42 - 1 = 41
Can someone tell me the answer to this 20 points
Answer:
B
Step-by-step explanation:
what is the answer to the problem
HELP ASAP
HELP ASAP
HELP ASAP
Find the values of m and n.
25 POINTS WORTH
The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. Point Q is graphed at (n,-2). The distance from point P to point Q is equal to the distance from point P to point R. What is the distance from point P to point Q? What is the value of N? Explain how you determined the distance from point P to point Q, and the value of N.
Answer:
where is the picture?
Step-by-step explanation:
Answer:
...
Step-by-step explanation:
what is x:
3 + 12x = 63
Answer:
X=5
Step-by-step explanation:
3+12x=63
Subtract 3 from both sides
12x=60
Divide both sides by 12
X=5
Answer:
Ummm... Ok... Answer: X = 187 / 39 OR X = 4.794872
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
/3 + 1 2 = 63
3(x/3 + 12x) = 3.63
Simplify
Distribute Cancel multiplied terms that are in the denominator Combine like terms Multiply the numbers37x = 189
Divide both sides of the equation by the same term
37x = 189
37x / 37 = 189 / 37
Simplify
Cancel terms that are in both the numerator and denominatorx = 187 / 39
OR
x = 4.794872
Which statement is true?
1
3
(
n
+
3
)
=
1
3
n
+
3
1 third times open paren n plus 3 close paren is equal to 1 third n plus 3
1
3
(
n
+
3
)
=
1
3
n
+
1
1 third times open paren n plus 3 close paren is equal to 1 third n plus 1
1
3
(
n
+
3
)
=
1
3
n
+
3
1
3
1 third times open paren n plus 3 close paren is equal to 1 third n plus 3 and 1 third
1
3
(
n
+
3
)
=
1
3
n
+
4
3
Answer:
the answer is they are the same
Answer:
yes
Step-by-step explanation:
explanation: yes
me: yes
you: yes
others: yes
john cena: no :)
confusion confusion
confusion confusion
Whats an example of a linear relationship?
It is a straight line in a graphical format.
Answer:
For example a common equation, y=mx+b y = m x + b,is a linear function because it meets both criteria with x and y as variables and m and b as constants.
Step-by-step explanation:
Janet and Jack are walking in a two-day event to raise money for charity. Janet asks a friend for a $7.50 donation, plus $0.10 for each mile she walks. Jack asks a friend for a $5.50 donation, plus $0.15 for each mile he walks. At how many miles of walking would Janet and Jack collect the same amount of money?
A. 44
B. 40
C. 28
D. 25
Answer:
B
Step-by-step explanation:
someone help me with this proof please
Answer:
the first statement is: AB is congruent to DC.
reason: given
Step-by-step explanation:
im not sure about the others
what's equivalent to (the picture)
2^96^3
2^63^2
2^43^2
2^123^3
Applying exponent properties, the simplified expression is given by:
[tex]2^{12} \times 3^3[/tex]
What is the simplified expression?The initial expression is given by:
[tex](\sqrt{8^4}\sqrt{6^4})^{\frac{3}{2}}[/tex]
First we simplify the roots, hence:
[tex](\sqrt{8^4}\sqrt{6^4})^{\frac{3}{2}} = (8^2 \times 6^2)^{\frac{3}{2}}[/tex]
6 and 8 can be factored as follows:
8 = 2³.6 = 2 x 3.Hence:
8² = 2^6.6² = 2² x 3².Then:
[tex](8^2 \times 6^2)^{\frac{2}{3}} = (2^8 \times 3^2)^{\frac{3}{2}} = \sqrt{2^{24} \times 3^6} = 2^{12} \times 3^3[/tex]
More can be learned about exponent properties at https://brainly.com/question/25263760
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Marie is saving money for home repairs. To date, she has saved $1,195. She needs at least $1,483 for the repairs. She plans to set aside $32 per week to add to her current savings. If this situation is modeled by the inequality below, how many more weeks, x, does she need to continue saving in order to have enough money for the repairs?
Answer:
Number of weeks= 9
Step-by-step explanation:
First, we need to calculate the money required to reach the objective:
Money required= 1,483 - 1,195
Money required= $288
Now, we can determine the number of weeks left to accumulate $288 and get to $1,483:
Number of weeks= 288 / 32
Number of weeks= 9