We are stuck on this I will need some help trying to figure out which one is the right answer
Answers
The general form of represented of a number in scientific notation is,
[tex]a\times10^n[/tex]Here, the required conditions are,
[tex]\begin{gathered} 1\leq a<10 \\ n\in N \end{gathered}[/tex]Note that N represents the set of all possible natural numbers.
Consider the given numbers and match them with the above form.
Clearly, the rightmost number in the given image is in the proper form of the scientific notation,
[tex]8.98\times10^6[/tex]Here, 'a' is 8.98 and 'n' is 6.
Both the values satisfy the required conditions.
Therefore, it can be concluded that out of all the given numbers, the number represented in scientific notation is,
[tex]8.98\times10^6[/tex]Related Questions
What number should be added to both sides of the following equation to solve for g?g - 18 1\3 = 2543 1\36 2\318 1\325 2\3
Answers
Answer
[tex]18\frac{1}{3}[/tex]Explanation
Given:
[tex]g-18\frac{1}{3}=25[/tex]What to find:
The number that should be added to both sides of the following equation to solve for g.
Solution:
To solve for g 18 1/3 should be added to both sides as shown below
[tex]\begin{gathered} g-18\frac{1}{3}=25 \\ \\ Add\text{ }18\frac{1}{3}\text{ }to\text{ }both\text{ }sides \\ \\ g-18\frac{1}{3}+18\frac{1}{3}=25+18\frac{1}{3} \\ \\ g=25+18\frac{1}{3} \end{gathered}[/tex]The answer is 18 1/3
A figure is made up of two triangles and a square. The trianglesand the square have the same base length of 9 feet. Thetriangles have a height of 12.3 feet. What is the total area of thefigure?
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1 point 3 John ran 3 les in of an hour Marlon ran s 4 miles in of an hour How lar did Marlon run in one hour?
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Answer:
6.2 miles per hour
Explanation:
Marlon ran 8 1/4 miles in 4/3 of an hour.
So, we first need to transform the mixed number 8 1/4 into a fraction using the following equation:
[tex]\begin{gathered} A\frac{b}{c}=\frac{A\cdot c+b}{c} \\ 8\frac{1}{4}=\frac{8\cdot4+1}{4}=\frac{32+1}{4}=\frac{33}{4} \end{gathered}[/tex]Then, we need to divide 33/4 miles by 4/3 hour as:
[tex]\begin{gathered} \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot d}{b\cdot c} \\ \frac{\frac{33}{4}}{\frac{4}{3}}=\frac{33\cdot3}{4\cdot4}=\frac{99}{16}=6.2\text{ miles per hour} \end{gathered}[/tex]So, Marlon ran 6.2 miles per hour.
find the average rate of change from x= -2 to x =1
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We have the graph of a function of third grade and need to find the average rate of change between x=-2 and x=1.
We can see that:
[tex]\begin{gathered} \text{The rate of change is:} \\ \frac{dy}{dx} \\ \end{gathered}[/tex]So, the average between x=-2 and x=1 is:
[tex]undefined[/tex]A box can be formed by cutting a square out of each corner of a piece of cardboard and folding the sides up. If the piece of cardboard is 78 cm by 78 cm and each side of the square that is cut out has length x cm, the function that gives the volume of the box is V=6084x−312x2+4x3. Complete parts (a) and (b) below.
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a) Notice that:
1)
[tex]6084x-312x^2+4x^3=4x(1521-78x+x^2)=4x(x-39)^2\text{.}[/tex]Therefore V(x)=0 at x=0 and it has a double root at x=39.
2)
[tex]\begin{gathered} V(-1)=6084(-1)-312(-1)^2+4(-1)^3, \\ V(-1)=-6084-312-4<0. \end{gathered}[/tex]Therefore, V(x)<0 when x is in the following interval:
[tex](-\infty,0).[/tex]3)
[tex]V(1)=6084(1)-312(1)^2+4(1)^3>0.[/tex]Therefore, V(x)>0 when x is in the following set:
[tex](0,39)\cup(39,\infty).[/tex]b) Since x is a length, then it must be greater than zero, also 2x must be smaller than 78, therefore the values of x that makes sense in the context are in the interval:
[tex](0,39)\text{.}[/tex]Answer:
a) Option B) The values of x that makes V>0 are in the set:
[tex](0,39)\cup(39,\infty).[/tex]b) Option A) The values of x that give squares that can be cut out to construct a box are the interval:
[tex](0,39)\text{.}[/tex](0,39).
Solve the equation. – 4y - 37 = 6y + 13 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. y= (Type an integer or a simplified fraction.) B. The solution is all real numbers. C./ There is no solution.
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solve for y:
add 4y to both sides:
[tex]\begin{gathered} -4y-37+4y=6y+13+4y \\ -37=10y+13 \end{gathered}[/tex]Subtract 13 from both sides:
[tex]\begin{gathered} -37-13=10y+13-13 \\ -50=10y \end{gathered}[/tex]Divide both sides by 10:
[tex]\begin{gathered} \frac{10y}{10}=-\frac{50}{10} \\ y=-5 \end{gathered}[/tex]I'll just send you the picture. there's too much to type
Answers
ANSWER
[tex]\text{ \$278.75}[/tex]EXPLANATION
We have that Sammi has $125.75 in her account and deposits (adds) $25.50 every month for 6 months.
To find how much is there after 6 months, first, find out how much she added to the account and then add that to the initial amount that was there.
After 6 months she deposited:
[tex]\begin{gathered} 6\cdot25.50 \\ \text{ \$153} \end{gathered}[/tex]Now, add that to the initial amount there:
[tex]\begin{gathered} 125.75+153 \\ \text{ \$278.75} \end{gathered}[/tex]That is the amount in the account at the end of 6 months.
Leo is 5 years older than Pat. In 10 years leo will be twice pat's present age. How old is leo
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Answer:
20
Step-by-step explanation:
Pat is 15.
Leo is 5 years older(20)
Leo will be 30 in 10 years.
15 x 2 = 30
Plot the inequality on the given number line. Toggle the "Dot" or "Open Dot" button to place the correct dot on your line before you submit your answer.x<0Write the inequality using interval notation. Use "oo" (two lower case o's) for∞.
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Answer:
(b) (-oo, 0)
Explanation:
Given the inequality:
[tex]x<0[/tex](a)The inequality is plotted on the number line below:
Note: An open circle is used for the inequalities, < and >.
(b)The inequality written using the interval notation is:
[tex](-\infty,0)[/tex]What are the coordinates of the y- intercept of this function y 6 -5 1 2
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The coordinates of the y-intercept of the function can be obtained if we follow the steps below
Step 1: we can get the equation of the graph using the equation below
[tex]\frac{y_2-y_1}{x_2\text{ -}x_1}\text{ = }\frac{y\text{ -}y_1}{x\text{ -}x_1}[/tex]Step 2: Select two coordinates that will be substituted into the equation
Selecting the points
(-2, -6) and (-1, -5)
[tex]\frac{-5\text{ -(-6)}}{-1\text{ -(-2)}}\text{ =}\frac{y-(-6)}{x\text{ -(-2)}}[/tex][tex]\frac{1}{1}=\frac{y+6}{x+2}[/tex]Cross multiplying
y + 6 = x + 2
y = x + 2 - 6
y = x -4
The equation of the line is y = x - 4
The next step is to obtain the y-intercept which is obtained by substituting x = 0 into the equation of the line.
If x = 0
then y = 0 - 4
Hence y = -4
Therefore the coordinates of the y-intercept are (0, -4)
If w = 18, what is the value of 3w − 11?
(A) 307
(B) 65
(C) 43
(D) 10
Answers
Answer: 43 ==>
Step-by-step explanation: 3w − 11=3(18)-11=54-11=43 ==> C.
Given that,
w = 18
3w - 11 = ?
3(18) - 11
54 - 11
43
correct option is (c) 43
I need help with this question. Including the breakdown. Thank you
Answers
Let
x -------> the height of the tower
y -----> the height of the guy wire
we have that
x=y-3 ------> equation 1
y=9 m
substitute the value of y in equation 1
x=9-3
x=6 m
therefore
the height of the tower is 6 metersI am having trouble trying to figure out letter B
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The confidence level is [0.1883, 0.3866] and the 95% confidence interval for the cost is [0.25x 564.9, 0.25x1160.1] = [141.23, 290]
n = 80
a) p = 23/80 = 0.2875
% = 95
Standard error SE = √(p(1 - p)/n = √(0.2875(1 - 0.2875)/80)
z - score = 1.9599
Width of the confidence level = z x SE = 1.95996 x 0.05060 = 0.0991
Lower level of the confidence level = p - width = 0.2875 - 0.099177 = 0.1883
upper level of the confidence level = p + width = 0.2875 + 0.099177 = 0.3866778
The confidence level is [0.1883, 0.3866]
b) The 95% confidence level for the number of such customers = [0.1883 x 3000, 0.3866 x 3000] = [564.9, 1160.1]
The 95% confidence interval for the cost = [0.25x 564.9, 0.25x1160.1] = [141.23, 290]
Therefore, the confidence level is [0.1883, 0.3866] and the 95% confidence interval for the cost is [0.25x 564.9, 0.25x1160.1] = [141.23, 290]
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Find the value of n.1 x 4 = n
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n = 4
The value of n is 4
The height and weight of adults can be related by the equation y = 48.3x 127 where a is height in feet and y is weight in poundsWhat does the slope of the line represent?A. the number of pounds heavier an adult one foot taller would weighB. the height of an adult weighing zero poundsOC. the average number of pounds per foot tallD. the number of adults in the sampleReset SelectionviousNext
Answers
The slope of the line y = 48.3x - 127 represents the number of pounds heavier an adult one foot taller would weigh .
The given line is y = 48.3x - 127
So we can use this equation to find the weight of various people of different heights.
At x = 6 , y = 48.3 × 6 - 127 = 162.8 pounds
At x = 7 , y = 48.3 × 7 - 127 = 211.1 pounds
Difference of the two weights = 211.1 - 162.8 = 48.3
The slope of something like a line in the plane consisting of the x and y axes is typically denoted by the letter m. This slope is calculated by dividing the linear change in the y coordinate between two separate points on the line by the equivalent change in the x coordinate.
Hence the slope which is 48.3 represents the difference in height of people who are a feet taller.
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If Joey worked for himself and called his company “Joey’s Construction Company” and made $20,750 per year, how much would he pay per year in total Social Security and Medicare tax?
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He would pay $3,154 in Social Security and Medicare tax
Explanation:Given that Joey worked for himself, he must pay doule the amount of Social Security and Medicare taxes to the government.
This makes 15.2% of $20,750
[tex]\begin{gathered} =\frac{15.2}{100}\times20750 \\ \\ =3154 \end{gathered}[/tex]He would pay $3,154 in total Social Security and Medicare tax
Shaan and anita are married and have two children, ages 3 and 9. anita is a "nonworking" spouse who devotes all of her time to household activities. estimate how much life insurance shaan and anita should carry.
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The cost of life insurance that shaan and anita should carry would be = $150,000
What is life insurance policy?A life insurance policy is defined as the type of insurance an individual contracts so as to enable their beneficiaries a stipulated amount of money after the individual dies.
The number of children owned by shaan and anita = 2
The age of the youngest child = 3
The age of the eldest child = 9
The insurance policy need = Number of years until the youngest child is 18 × $10,000
The number of years until the youngest child is 18 = 18-3= 15
15× 10,000 = $150,000
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Question 5 of 10 Which of the segments below is a secant? B D O A. CD O B. AB O C. ÃO D. BC
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In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Diagram
secant = ?
Step 02:
We must analyze the diagra,m to find the solution.
Secant ===> straight line that cuts a curve in two or more parts
Segments:
CD: FALSE
AB: FALSE
AO: FALSE
BC: TRUE
The answer is:
Segment BC is a secant
Find the terminal point on the unit circle determined by 4pi/3 radians
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Given:
A terminal point on the unit circle determined by 4pi/3 radians
The unit circle has a radius = 1
the terminal point (x,y) will be calculated using the following formulas:
[tex]\begin{gathered} x=cos(\theta) \\ y=sin(\theta) \end{gathered}[/tex]Substitute θ = 4pi/3
[tex]\begin{gathered} x=cos(\frac{4\pi}{3})=-\frac{1}{2} \\ \\ y=sin(\frac{4\pi}{3})=-\frac{\sqrt{3}}{2} \end{gathered}[/tex]So, the answer will be:
[tex](x,y)=(-\frac{1}{2},-\frac{\sqrt{3}}{2})[/tex]A plant is already 42 centimeters tall, and it will grow one centimeter every month.Let H be the plant's height (in centimeters) after M months.Write an equation relating H to M. Then use this equation to find the plant's helght after 35 months.Equation:D-ORХ5?Plant's height after 35 months: centimeters
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write the height of the plant after m months as a linear function in which the y-intercept is the plant's initial height (42 cm) and the slope is the growth the plant experiences after each month (1 cm)
[tex]H=M+42[/tex]then, after 35 months
[tex]\begin{gathered} H=35+42 \\ H=77 \end{gathered}[/tex]The plant's height after 35 months is 77 cm.
Evaluate the following numerical expressions.a. 2(5+(3)(2)+4)b. 2((5+3)(2+4))c. 2(5+3(2+4))Can the parentheses in any of these expressions be removed without changing the value the expression?
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So,
We're going to evaluate each expression as follows:
Let's begin with a:
[tex]\begin{gathered} 2(5+(3)(2)+4) \\ 2(5+6+4) \\ 2(15) \\ =30 \end{gathered}[/tex]Now, b:
[tex]\begin{gathered} 2((5+3)(2+4)) \\ 2((8)(6)) \\ =2(48) \\ =96 \end{gathered}[/tex]And, finally, c:
[tex]\begin{gathered} 2(5+3(2+4)) \\ 2(5+3(6)) \\ 2(5+18) \\ 2(23) \\ =46 \end{gathered}[/tex]Notice that if the parentheses change, the results wouldn't be the same.
a bike path is 8 miles. Max is 375% of the way to the end. How far is max on the path?
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hello
the distance or length of the path is 8 miles.
Max is 375% of the way to the end. Let's find he distance of 375% on 8 miles
[tex]\begin{gathered} 375\text{ \% of 8} \\ \frac{375}{100}=\frac{x}{8} \\ \text{cross multiply both sides} \\ 100\times x=375\times8 \\ 100x=3000 \\ \frac{100x}{100}=\frac{3000}{100} \\ x=30 \end{gathered}[/tex]from the calculation above, Max is 30 miles away from the path
The dot plot below shows 6 data points with the mean of 16What is the absolute deviation at 19?○3○4○7○8
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we have that
The mean is 16
Find the difference between each data point and the mean
so
16-12=4
16-13=3
16-15=1
17-16=1
19-16=3
20-16=4
Find the average of these values
(4+3+1+1+3+4)/6
=16/6
=2.67
17the leading term is-6x² +The expression represents aterm ispolynomial withterms. The constantand the leading coefficient is
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0. quadratic
,1. two
,2. 1/7
,3. -6x²
,4. -6
1) Examining this polynomial, we can tell that:
[tex]-6x^2+\frac{1}{7}[/tex]This expression represents a quadratic polynomial with two terms. The constant term is 1/7, the leading term is -6x², and the leading coefficient is -6
2) Note that a constant term is always a number without a variable, the leading term is the one with the highest exponent, and a coefficient is a number that accompanies the leading variable.
For each coefficient choose whether it is positive or negative. Choose the coefficient with the greatest value. Choose the coefficient closest to zero.
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First we need to find if the coefficients are negative or positive. The function:
[tex]\lvert x\rvert[/tex]Is always positive which means that its graph must be over the x axis. If this function is multiplied by a positive coefficient then the graph remains over the x axis. On the other hand, if it's multiplied by a negative number then the graph is now under the x axis. A and B graph are over the x axis so they are positive whereas C and D graphs are under the x axis and they are negative and that's the answer for a.
Then we must find the coefficient with the greatest value. Since a positive number is greater than any negative number we can discard C and D. Now we have two options, A and B which we know are different numbers since their graph are different. Both are V shaped but graph B is sharper than graph C. This means that B is greater than C. Then, the answer to part b is coefficient B.
In part c we must choose the coefficient that is closest to 0. Using the same argument as before, the sharper the V shaped graph is the greatest absolute value its coefficient has. This means that the least sharp graph is that of the coefficient that is closer to 0. Looking at the four graphs you can see that the least sharp V is that of coefficient A. Then, the answer to part c is coefficient A.
Hay e escalones desde el pedestal hasta la cabeza de la Estatua de la Libertad. La cantidad de escalones que hay en el Monumento a Washington es 27 menos que 6 veces la cantidad de escalones que hay en la Estatua de la Libertad. ¿Qué expresión representa la cantidad de escalones que hay en el Monumento de Washington en función de e? 27 < 6e 6(e-27) 6e-27 They 6e
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Let
e -----> number of steps from the pedestal to the head of the Statue of Liberty
f ----> number of steps on the Washington Monument
we have that
f=6e-27
therefore
teh answer is
6e-27
Do you understand my explanation?escalones que hay en el Monumento a Washington
we have that
f=6e-27
The sum of two numbers is at least 8, and the sum of one of the numbers and 3 times the second mumber isno more than 15.
Answers
As given by the question
There are given that the sum of the two numbers is at least 8.
Now,
Let the unknown numbers be x and y
Then,
If the sum of the two numbers is at least 8 then:
[tex]x+y\ge8[/tex]Similarly, the sum of one of the numbers and 3 times the second number is no more than 15
Then,
[tex]x+3y\leq15[/tex]Now,
From the both of the inequality:
[tex]\begin{gathered} x+y\ge8 \\ x+3y\leq15 \end{gathered}[/tex]Then, find the first and second nuber:
So,
[tex]\begin{gathered} x+y\ge8 \\ x\ge8-y\ldots(a) \end{gathered}[/tex]Then, Put the value of x into the second equation
Then,
[tex]\begin{gathered} x+3y\leq15 \\ 8-y+3y\leq15 \\ 8+2y\leq15 \\ 2y\leq15-8 \\ y\leq\frac{7}{2} \\ y\leq3.5 \end{gathered}[/tex]Then,
Put the value of y into the equation (a)
[tex]\begin{gathered} x\ge8-y \\ x\ge8-3.5 \\ x\ge4.5 \end{gathered}[/tex]Hence, the first number and second number is shown in below:
[tex]\begin{gathered} x\ge4.5 \\ y\leq3.5 \end{gathered}[/tex]The graph of the given result is shown below:
is 1,000 feet greater than 300 yards
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hello
to solve this question, we have to know the the dimensions or
if m<10=77 ,m<7=47 and m<16=139, find the missing measure of m<2=?
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Note that a and b are parallel lines with a transversal line of c.
<10 is congruent to <8
so :
<8 = 77
<2 and <8 are supplementary (sum of 180 degrees)
<2 + <8 = 180
<2 + 77 = 180
<2 = 103
The answer is :
<2 = 103 deg
can you please help me before I get on error message and get kicked out
Answers
We have the following:
What we must do is calculate the total rate, that is, add all of them and then calculate each part, that is:
[tex]4+5+5+8+9+9=40[/tex]Now we calculate each angle like this
[tex]\begin{gathered} 720\cdot\frac{4}{40}=72 \\ 720\cdot\frac{5}{40}=90 \\ 720\cdot\frac{8}{40}=144 \\ 720\cdot\frac{9}{40}=162 \\ we\text{ add} \\ 72+90+90+144+162+162=720 \end{gathered}[/tex]then we can affirm that the smallest angle is 72 °