Enter your answers in the boxes to correctly complete this statement.
74.94×103= (what) because the number 10³ has (what)
zeros when it is written without an exponent.
Using scientific notation, it is found that the number in standard notation is represented by:
[tex]74.94 \times 10^3 = 74940[/tex]
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
In this problem, the number is given by:
[tex]74.94 \times 10^3[/tex]
Hence, applying the multiplication, we have that:
[tex]74.94 \times 10^3 = 74.94 \times 1000 = 74940[/tex]
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How much should be invested now at an interest rate of 6% per year, compounded continuously, to have $2500 in five years?
Answer:
$1,923.08.
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year.
Solving our equation:
P = 2500 / ( 1 + (0.06 × 5)) = 1923.0769230769
P = $1,923.08
The principal investment required to get a total amount, principal plus interest, of $2,500.00 from simple interest at a rate of 6% per year for 5 years is $1,923.08.
please help please i will give brainliest
Answer:
D. 1/4
since it is a vertical line x is always 1/4
Find the value of x.
Answer:
56
Step-by-step explanation:
We know that every triangle no matter will equal 180 degrees. So we will make an algebreic expression.
2x+8+60=180
When doing algebreic expression we want to simply as much as possible to find our answer. First we will do 60-180. Since the expression is adding 60 we want to do the opposite and subtract is by 60 on both sides. SO now we have 2x+8=120. We do the same thing with 8. Subtract it on both sides since its adding in the expression. Now we have 2x=112. FInally, we will divide by two on both sides since its multiplying on the other side of the equation. So now we are left with x=56.
PLEASE HELP ME ANSWER THIS
Which expression is equal to 45 x 47 ÷4-²?
The book fair is this week, and there's a special deal for teachers. For every 5 hardcover books a teacher buys, he or she can get 2 paperback books for free. Ms. Baldwin is buying 35 hardcover books for her classroom library.
How many paperback books will Ms. Baldwin get for free?
paperback books
The graphically and algebraically
What are the zeros of the function defined by the polynomial
x^2+7x+12
solve by inspection
[tex]x^2+7x+12\\\\(x+4)(x+3)[/tex]
[tex]x+4=0\\\\x=-4[/tex]
[tex]x+3=0\\\\x=-3[/tex]
The zeros of the function are -4 and -3.
I NEED HELP PLEASEEE!!!! I HAVE BEEN WORKING ALL DAY
Answer:
188
Step-by-step explanation:
I found and fixed my mistake sorry
What is the end behavior of the function f of x equals negative 4 times the cube root of x?
A.)As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
B.) As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.
C.) As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.
D.) As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.
Answer:
B.) As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.
Step-by-step explanation:
[tex]\lim_{x\rightarrow -\infty } f\left( x\right) =\lim_{x\rightarrow -\infty } -4\sqrt[3]{x} = (-4)\times(-\infty) = +\infty[/tex]
[tex]\lim_{x\rightarrow \infty } f\left( x\right) =\lim_{x\rightarrow \infty } -4\sqrt[3]{x} = (-4)\times(+\infty) = -\infty[/tex]
Daniel’s spinner is divided into 8 equal sections. A spinner divided into 8 equal sections labeled gray, green, red, purple, gray, green, yellow, blue. He plans to spin it 80 times. Which equation predicts the number of times that he could spin green? P (green) = StartFraction 1 over 8 EndFraction (80) P (green) = StartFraction 2 over 8 EndFraction (80) P (green) = StartFraction 3 over 8 EndFraction (80) P (green) = one-half (80)
We expect to get the color green 10 times out of the 80.
How many times we expect to get the color green?
The spinner is divided into 8 equal colors, so we can assume that each one of the 8 colors has the same probability of being spun.
This means that if we spin the spinner, the probability of getting the color green is p = 1/8.
So, in 80 tries, we will expect to get the color green a total of:
N = (1/8)*80 = 10
We expect to get the color green 10 times out of the 80.
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Answer:
The correct answer is P(green)=2/8 (80)
Step-by-step explanation:
Daniel’s spinner is divided into 8 equal sections.
A spinner divided into 8 equal sections labeled gray, green, red, purple, gray, green, yellow, blue.
As you can see there are 2 greens so it would be 2/8 since there are 8 pieces and 2 greens out of those 8.
HOPE THIS HELPS!
(I also did this on edge and got it correct)
(BRAINLIEST) What is the slope of the line shown in the graph?
2
−1
−fraction 1 over 2
fraction 1 over 2
Answer: the slope is y=-1/2
Step-by-step explanation:
because the line is moving from left to right, it is a negative slope
30
Evaluate the expression for x = 4 and y = 5.
61x² - y) - 7
A. 8
B.
41
C. 47
D.
56
Reset
Answer:
=41
Step-by-step explanation:
X = 4 and y =5
6( [tex]4^{2} - 5[/tex]) - [tex]5^{2}[/tex]
= 6 (16-5) -25
= 6 (11)-25
= 66 -25
=41
what is the n th term of this sequences 51,54,59,66,75,86,99
|x|=x^2+x-15 solve absolute value equation and show steps please
Answer:
x=√15 or x = -5 or x=3
Step-by-step explanation:
Possibility one:
x=x^2+x-15
x-x^2=x^2+x-15-x^2 (subtract x^2 from both sides)
-x^2+x=x-15
-x^2+x-x=x-15-x (subtract x from both sides)
-x^2=-15
-x^2/-1=-15/-1 (divide both sides by -1)
x^2=15
square root both sides
x=√15 or x=-√15
Possibility two:
x=(-x^2+x-15)
x=-x^2-x+15 (simplify)
x-(-x^2-x+15)=-x^2-x+15-(-x^2-x+15) (subtract both sides by -x^2-x+15)
x^2+2x-15=0
(x-3)(x+5)=0 (factor left side of equation)
x-3=0 or x+5=0 (set factors equal to 0)
x=3 or x=-5
The expression (cos 60°)(cos 30°) − (sin 60°)(sin 30°) can be rewritten as which of the following?
sin 30°
sin 90°
cos 30°
cos 90°
Answer:
cos 90°
Step-by-step explanation:
(cos 60°)(cos 30°) − (sin 60°)(sin 30°)
= cos ( 60° + 30°)
= cos 90°
The expression (cos 60°) (cos 30°) − (sin 60°) (sin 30°) is cos 30°.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
(cos 60°)(cos 30°) − (sin 60°)(sin 30°)
We can use the trigonometric identity for the difference of angles between cosines.
cos(x - y) = cos(x)cos(y) - sin(x)sin(y)
By setting x = 60° and y = 30°.
So,
cos(60° - 30°) = (cos 60°)(cos 30°) − (sin 60°)(sin 30°)
cos 30° = (cos 60°) (cos 30°) − (sin 60°) (sin 30°)
Thus,
(cos 60°) (cos 30°) − (sin 60°) (sin 30°) is cos 30°.
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if the sum of 3.5 and .02 is subtracted from the product of 11 and .05 the result is
Answer:
7.53
3.5 + 0.02 = 3.52
11 + 0.05 = 11.05
11.05 - 3.52 = 7.53
Find the area of the shaded portion of the sector
shown below. Round your answer to the nearest
integer
The area of the shaded region is 75.5cm^2.
The radius of the inner circle=10cm
The radius of the outer circle=14cm
angle made by sector is 90 degrees.
What is the formula for the area of the sector making an angle theta?[tex]A=\frac{\theta}{360}\times \pi r^2[/tex]
For an outer sector
[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 14^2[/tex]
area of the sector=154cm^2
Now we have to find the area of the sector for the inner circle.
[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 10^2[/tex]
Area of sector=78.5cm^2
Area of the shaded region =area outer sector - area of inner sector
Area of the shaded region=154-78.5.
Area of the shaded region75.5cm^2.
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PLEASE HELP ITS EXTRA CREDIT AND I COULD REALLY USE IT !! BEING TIMED! for each of the following statements, determine if the statement is true or false and explain how you decided on your answers for the polynomial.
*equation and questions included in picture below*
A. True. We see this by taking the highest order term in each factor:
[tex]f(x) = -3x(x-5)^3(x+2)^2 = -3x (x^3 + \cdots) (x^2 + \cdots) = -3x^{\boxed{6}} + \cdots[/tex]
B. True. Again we look at the leading term's degree and coefficient. f(x) behaves like -3x⁶ when x gets large. The degree is even, so as x goes to either ± ∞, x⁶ will make it positive, but multiplying by -3 will make it negative. So on both sides f(x) approaches -∞.
C. False. f(x) = 0 only for x=0, x = 5, and x = -2.
D. False. Part of this we know from the end behavior discussed in part B. On any closed interval, every polynomial is bounded, so that for any x in [-2, 5], f(x) cannot attain every positive real number.
E. True. x = 0 is a root, so f(0) = 0 and the graph of f(x) passes through (0, 0).
F. False. (0, 2) corresponds to x = 0 and f(x) = 2. But f(0) = 0 ≠ 2.
Why couldn't you add the
feet, yards, and centimeters
together?
Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 40% Hispanic.
a. How many jurors would you expect to be Hispanic?
b. The select process produces a jury with 3 Hispanic individuals What proportion of the jury is Hispanic? (Enter your answer as a decimal, rounded to four decimal places)
c. Use the binomial distribution and find the probability that 3 or fewer jurors would be Hispanic.
Using the binomial distribution, it is found that the desired values are given as follows:
a) 4.8 jurors.
b) The proportion is of 0.25.
c) 0.2254 = 22.54% probability.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
Twelve jurors are randomly selected by the state, hence n = 12.The state is known to be 40% Hispanic, hence p = 0.4.Item a:
The expected value of the binomial distribution is given by:
E(X) = np
Hence:
E(X) = 12 x 0.4 = 4.8 jurors.
Item b:
The proportion of 3 out of 12 is 3/12 = 1/4 = 0.25.
Item c:
The probability is given by:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{12,0}.(0.4)^{0}.(0.6)^{12} = 0.0022[/tex]
[tex]P(X = 1) = C_{12,1}.(0.4)^{1}.(0.6)^{11} = 0.0174[/tex]
[tex]P(X = 2) = C_{12,2}.(0.4)^{2}.(0.6)^{10} = 0.0639[/tex]
[tex]P(X = 3) = C_{12,3}.(0.4)^{3}.(0.6)^{9} = 0.1419[/tex]
Then:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0022 + 0.0174 + 0.0639 + 0.1419 = 0.2254[/tex]
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Select the correct answer from the drop-down menu.
What is the surface area for each part of the figure?
The surface area of the pyramid is (96, 60, 48) square feet.
The surface area of the square prism is (480, 552) square feet.
The surface area of the cube is (180, 216) square feet.
The total surface area is (816, 700, 688, 756) square feet.
The surface area of the pyramid is 96 ft²
The surface area of the square base prism is 552 ft²
The surface area of the cube is 216 ft²
The total surface area is 756 ft²
How to find surface area?The surface area of the pyramid = A + 1/2 ps
where
A = base areap = perimeters = slant heightTherefore,
A = 6² = 36 ft²
p = 4(6) = 24 ft
s = √3² + 4² = √9 + 16 = √25 = 5 ft
Hence,
The surface area of the pyramid = 36 + 1 / 2 × 24 × 5 = 96 ft²
The surface area of the square base prism = 2a² + 4ah
where
a = side of the square baseh = heightTherefore,
The surface area of the square base prism = 2(6)² + 4(6)(20) = 72 + 480 = 552 ft²
The surface area of the cube = 6l² = 6 × 6² = 6 × 36 = 216 ft²
Total surface area = 96 + 552 + 216 = 864 - 36 - 36 - 36 = 756 ft²
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Answer: 1 . Is 96 square feet
2 . is 552 square feet
3 . 216 square feet
4 . 756 square feet
Step-by-step explanation:
Identify the equation of direct variation given that y varies directly with x. y is 75 when x is 5.
Answer:
y = 15x
Step-by-step explanation:
The equation for direct variation is ...
y = kx
where k is the constant of proportionality.
__
We can find k by dividing by x:
y/x = k
Using the given values, we find it to be ...
75/5 = k = 15
Using this value of k in the equation, we find the equation of direct variation is ...
y = 15x
4. Tanya Elliot purchased 400 shares of Frontier Oil at $19.00
per share and paid a $29.95 commission.
a. What was the cost of the stock?
b. What was the total paid?
a. The cost of the stock is $19
b. Tanya Elliot paid total amount of $ 7629.95.
What is cost of stock?The cost of preferred stock to a company is effectively the price it pays in return for the income it gets from issuing and selling the stock.
a. It is given that , each share= $19.00
Total number of shares = 400
Price for 400 shares be,
= 400 x $19.00
= $7600.00
Cost of the stock= [tex]\frac{ 7600}{400}[/tex]
= $19
b. Total paid by Tanya = $7600.00 +$29.95
= $7629.95
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Where does the energy stored in coal originally come from?
A. The Earth's Core
B. Minerals
C. The Sun
D. Radioactive material in the crust
Answer:
C . The sun
plants absorb light which make carbohydrates which makes a part of bodies of animals and plants . When they die this compound in their bodies which later became coal
Select the correct answer. Which expression is equivalent to the given expression? √150
Answer:
5√6
Step-by-step explanation:
√25 x 6
√25 x√6
5√6
sjrface area of triangle base of 11cm and height 7cm
Answer:
38.5...............
Step-by-step explanation:
(11×7)/2.
Question 4 please, Thanks!
Answer:
the probability is 1.01
Question 6 of 10
Which of the following are not polynomials?
A,D and E are not polynomials.
Step-by-step explanation:
Well you see my friend, that's how things work.
A polynomial does not have the variable in the denominator.
