3.1 Write the following in scientific notation
a) 217 000 000 b) 0,000 253
Answer:
2.17 x 10^8
0.253 x 10^-4 if number is 0.000253 or 2.53 x 10^2 if number is 253
Step-by-step explanation:
What is 1.5( 3a - 12b + 10) equal to?
Lia cut a sting into 2 pieces . One piece of the string is 24 inches long, and the other piece of the string is 12 inches long. How many feet long was the piece of string before Lia cut it?
Answer: 36 inches long. Therefore, 3 feet long.
Step-by-step explanation: Add 24 + 12 to get your answer. Then divide by 12 to get 3 feet.
The length of a string before Lia cut it is 60 feet.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Lia cut a sting into 2 pieces .
One piece of the string is 24 inches long.
Let the length of other piece be x.
The other piece of the string is 12 inches long.
Now, x=24+12
x=36
So, the total length of string = 24+36
= 60 feet
Therefore, the length of a string before Lia cut it is 60 feet.
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suppose f(x) is continuous and that f(-5)=2, f(0)=-3. f(3)=2, f(7)=-4, f(8)=-1.Which smallest interval where f (x)= 0 is guaranteed to have a solution: [-5,0], [0,3], [3,7], or [7,8]?
Answer:
[0,3]
Step-by-step explanation:
Using a special case of mean value theorem, The Intermediate Zero Theorem:
if sign changes in continuous function, it pass through zero:
f(-5)=2, f(0)=-3. f(3)=2, f(7)=-4, f(8)=-1
[-5,0], [0,3], [3,7] guarantee a solution
smallest : [0,3]
lizette a contractor designer wants to put a white picket fence around the picnic area. find the amount of fencing to the nearest tenth of a meter she must purchase to properly enclose the area
A tablecloth has a length of
9/8 meters and a breadth of 5/8 meters. What is the area of the tablecloth?
Answer:
45/64 m²
Step-by-step explanation:
We are given the length and width of the tablecloth (breath = width).
Length = 9/8 mWidth = 5/8 mWe know that the formula for the area of a rectangle is A = L × W.
Assuming the tablecloth is in the shape of a rectangle (since the problem gives us length and width), we can substitute the length and width into the formula.
A = 9/8 × 5/8 A = 45/64The area of the tablecloth is 45/64 m².
A random sample of people is chosen to participate in a survey.
For the survey results to be considered valid, which must be true of the random
sample? (Select all that apply.)
Everyone in the population has an equal chance of being selected in the sample.
The sample must be the same size as the population.
The sample must be a group separate from the population.
The sample size must be small.
The sample must be unbiased.
The sample must be biased.
The sample must represent the target population.
Answer:
he sample must represent the target population.
its c good luck c c c cc c cc c cc c cc c c c c c c c c c c c c c c c c c
What is the value of x?And the perimeter and area?
Answer:
Step-by-step explanation:
12
how do you write the equation of a line (in slope intercept form) with three given points?
With even just two points, you can find the equation of a line in slope-intercept form.
Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept
1) Solve for the slope ([tex]m[/tex])
The equation to solve for the slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] when the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. Plug the coordinates of these points into the equation and solve for [tex]m[/tex].
Then, plug [tex]m[/tex] into [tex]y=mx+b[/tex].
1) Solve for the y-intercept ([tex]b[/tex])
Then, take any of the given points and plug it into [tex]y=mx+b[/tex] along with the slope. Isolate [tex]b[/tex] to get the y-intercept. Then, plug both m and b back into [tex]y=mx+b[/tex] to get your final equation.
I hope this helps!
the area of a rectangle knitted blanket is 9x^2-6x-8. What are the possible dimensions of the blanket? Use factoring
Answer:
3x+2 and 3x-4
Step-by-step explanation:
We are given the quadratic equation 9x²-6x-8.
first, multiply 9 and -8 together (factors a*c, which equals to the sum that is b)
the result is -72
now think:
which two numbers add up to -6, but when multiplied, equal -72?
Those two numbers are -12 and 6
we can expand the polynomial:
9x²-12x+6x-8
factor by grouping:
3x(3x-4)+2(3x-4)
(3x-4)(3x+2)
so, the dimensions of the blanket are (3x-4) and (3x+2)
Hope this helps :)
True False
Angle Phas the same measure as angle P!
Angle Q has the same measure as angle R.
Angle R has the same measure as angle R'.
Answer:
Step-by-step explanation:
Triangle PQR is in a coordinate plane. The triangle is reflected across the y–axis and
then translated 11 units left to form Triangle P'Q'R'. Determine which of the following statements must be true regarding this transformation. Select True or False for each statement.
Angle P has the same measure as angle P'. T or F
Angle Q has the same measure as angle R'. T or F
Angle R has the same measure as angle R'. T or F
I need help thank you
Answer:
3 1/2
Step-by-step explanation:
That is the largest value.
Answer:
3 1/2 ounces
Step-by-step explanation:
That is the biggest number on the graph.
The expression a + b + 3c is a ____ *
Monomial
Binomial
Trinomial
Only two full boxes and a box that was 75% full. Create a written expression
Answer:
2( 100%) +75%
Step-by-step explanation:
a full box will literally be 100%, so two full boxes will be 2 × a full ie 100%, 'and' a box ie 75% full is addition '+'
Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.
If the mirror is 45 feet away from the building’s base, how tall is the building
please show step by step
Answer:
Step-by-step explanation:
θ = angle of incidence = angle of reflection
You have two similar triangles.
tanθ = 6/4 = h/45
h = 45×6/4 = 67.5 ft
The required height of the building is 67.5 feet.
Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. If the mirror is 45 feet away from the building’s base, how tall the building is determined.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Since the two triangles are similar,
Let the height of the building is x.
The ratio of height and distance from the mirror Jhonny = height and distance of mirror from the building.
6/4=x/45
x = 11.25*6
x = 67.5
Thus, the required height of the building is 67.5 feet.
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Someone plss help I tried and I still can't get it plss help me
Answer:
-18 is an integer but not a whole number
Step-by-step explanation:
a whole number is only positive numbers and 0 itself while an integer is basically any number that isn't a decimal or a fraction. -18 is an integer, but it can't be a whole number because it is a negative number.
PLEASE SOLVE FOR BRAINLIST 5 TIMES AND 10 POINTS
simplify 3
[tex] \sqrt[3]{a} - \sqrt[5] {a}^{2} \times ( {a}^{ - 1} )^ \frac{1}{2} [/tex]
Answer:
why is there no picture?
9514 1404 393
Answer:
cuberoot(a) - 1/tenthroot(a)
Step-by-step explanation:
The applicable rule of exponents seems to be ...
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
Expressing all radicals using rational exponents, we want to simplify ...
[tex]a^{\frac{1}{3}}-(a^{\frac{2}{5}})(a^{-\frac{1}{2}})\\\\=a^{\frac{1}{3}}-a^{\frac{4-5}{10}}\\\\=a^{\frac{1}{3}}-a^{-\frac{1}{10}}=\boxed{\sqrt[3]{a}-\dfrac{1}{\sqrt[10]{a}}}\\\\=\boxed{\sqrt[3]{a}-\dfrac{\sqrt[10]{a^9}}{a}}[/tex]
__
We have shown two simplified expressions. You can choose the one that matches your requirements. Sometimes we don't want any radicals in the denominator.
A store owner wants to prepare 100 lb of a candy mix that she will sell for $1.36 per lb. She mixes 20 lb of jelly beans that cost 20 cents per lb with sugar candies. How much does 1 lb of sugar candies cost.
Answer:
Fraction form:33/20 money:$1.65
Step-by-step explanation:
$0.2 + $x = %1.36
20 IB + 80 IB = 100 IB
Equation: 0.2*20+x*80=1.36*100
there fore the answer is 33/20
Answer:
33/20
Step-by-step explanation:
Solve for n. 2/3(1+n)=-1/2n
Answer:
=−4/7
Step-by-step explanation:
And yh I'm sorry if I got it wrong
картопля містить 20 % крохмалю. скільки картоплі потрібно для одержання 12 кг крохмалю
Answer:
Для виготовлення 1 кг крохмалю потрібно 6 кг картоплі.Скільки крохмалю одержали з 30 кг картоплі. только пожалуйста условие задачи а не ее решение
Step-by-step explanation:
Q. work out the working capital Ratio:
cash at Bank 12000
stook. 18000
Debfors. 24000
Bills payable. 7000
creditors. 17000
cost of sales. 150000
> formula : working copital current Assets - current liabilities
Answer:
30,000
Step-by-step explanation:
The computation of the working capital is shown below:
As we know that
Working capital = current assets - current liabilities
where
Current assets = Cash at bank + stock + debtors
= 12,000 + 18,000 + 24,000
= 54,000
And, the current liabilities = bill payable + creditors
= 7,000 + 17,000
= 24,000
So, the working capital is
= 54,000 - 24,000
= 30,000
the exponential function g, whose graph is given below, can be written as g(x)=a*b^x
PLEASE HELP
Answer:
-5 9 i think that it let me know if I'm right
44fps converted to miles per hour
Step-by-step explanation:
30 mph is the answer of your qu
Need this answer please
Answer:
line s
Step-by-step explanation:
Answer:
your answer will be line r
Step-by-step explanation:
hope it help
If fg(x) = 2x + 1, and f(x) = x + 2, find g(5) and g-'f'(1).
Answer:
g(5) - f(1) = 8
g(5) = 11
Step-by-step explanation:
Given:
g(x) = 2x + 1
f(x) = x + 2
Find:
g(5)
g(5) - f(1)
Computation:
g(x) = 2x + 1
g(5) = 2(5) + 1
g(5) = 11
f(x) = x + 2
f(1) = 1 + 2
f(1) = 3
g(5) - f(1) =11 - 3
g(5) - f(1) = 8
cool/3d18c3ab-98a2-4989-9e70-1d62f58e3bcf/Showitem?returnView=&studentItemid=0&backPath Question 3 of 17 A room has dimensions 10'6" X 14'. What is the perimeter of the room?
Answer:
Perimeter = 2*Length + 2*Width
= 2(10’6”) + 2(14)
= 21’ + 28’
= 49’
Step-by-step explanation:
I DONT WANT HOW TO DO IT JUST THE ANSWER
what is eight times a number equals 4 times the 9?
Answer:
x=4.5
Step-by-step explanation:
8*x = 4*9
8x = 36
x = 4.5
Answer:
9/2
Step-by-step explanation:
Let the unknown number = n
Therefore, we can decode your question in the following manner:
8 x n = 4 x 9
Recognize that 4 x 9 = 36
So, 8 x n = 36
Lets divide 8 in both sides
n = 36/8 = 9/2
Therefore, n = 9/2
Jimmy runs 16 laps around the track every day. If he decides to run 24 laps today. what percent of the laps did he run?
Answer:
150%
Step-by-step explanation:
Answer:
66.7%
Step-by-step explanation:
[tex] \frac{16}{24} \times 100 = 66.67[/tex]