Answer:
7.75
Step-by-step explanation:
7.5+8=15.5
15.5/2=7.75
Which expression is equivalent to 2.8n – 8.4?
Answer:
4.1n
Step-by-step explanation:
Given the equation n – 4.6n – 3.3n + 2.8n , to get its equivalent expression, the following steps must be followed;
Step 1:
Factor out the common variable n
n(1 – 4.6 – 3.3 + 2.8)
Step 2:
Carry out the operation in parentheses;
= n(1+2.8-4.6-3.3)
= n(3.8-4.6-3.3)
= n(3.8-3.3-4.6)
= n(0.5-4.6)
= n(-4.1)
= -4.1n
The equivalent expression is -4.1n
A countrys population in 1990 was 145 million. In 1998 it was 151 million. Estimate the population in 2015 using the exponential growth formula. Round your answer to the nearest million
Answer:
The population in 2015 will be 165 million.
Step-by-step explanation:
The exponential growth formula is given by:
[tex] f(t) = a(1 + r)^{\Delta t} [/tex]
Where:
a: is the initial population
r: is the rate of increase
Δt: is the time
With the initial information we can find the rate:
[tex] 151 = 145(1 + r)^{1998-1990} [/tex]
Using logarithm:
[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]
[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]
[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]
Using exponential:
[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]
[tex] r = 5.081 \cdot 10^{-3} [/tex]
Now, we can find the estimated population in 2015:
[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]
[tex] f(t) = 165 [/tex]
Therefore, the population in 2015 will be 165 million.
I hope it helps you!
a + 7a+3ab-2ab-1+6 Simplify
Answer:
8a + ab + 5
Step-by-step explanation:
1. a + 7a+3ab-2ab-1+6
2. combine like terms
(a + 7a) + (3ab - 2ab) + (-1+6)
8a + ab + 5
Answer:
8a + ab + 5
Step-by-step explanation:
combine like terms. like term have same variables
a and 7a ; 3ab and (-2ab) ; (-1) and 6 are like terms
a + 7a + 3ab - 2ab - 1 + 6 = 8a + ab + 5
Please help me i don't have that much time
Answer:
D) 128
Step-by-step explanation:
4(0.5)^-5
4(32)
128
If the graph of the function moves to the right two units what is the new vertex of the function
Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
plzzz help me with this math im so confused!!
Answer:
I have made it in above picture
Answer:
2 A.)
1) 3-4x+8x^2-6+2x-5x^2
2) 8x^2-5x^2-4x+2x+3-6
3) 3x^2-2x-3
B.) 3x-5-7x^2+2+6x^2+5x
Step-by-step explanation:
please mark brainiest
please give 5 stars
thank you
All points of a sphere are ______ equal distances to its center.
Always
Never
Sometimes
A) Always
In a perfect sphere the centre is an equal distance from any point from the surface.
THANK YOU!!
∝ Sidhdi
3. Find the products.
a) (a? + 4) (a? – 4)
Answer:
a^2-16
Step-by-step explanation:
you just a.a+a.-4+4.a+4.-4=a^2-16
Write the equation in standard form of a line that is parallel to the graph of 2x + y = 5 and whose y - intercept is (0,4).
The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.
That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:
10 = 2(8) + b We need to solve for b.
10 = 16 + b
b = -6
Please help i dont know if this is right?
"just do it"- adidas
just yolo it
Determine the y intercept (8grade
Answer:
its 4
Step-by-step explanation:
Pets In a group of 150 people, each person has Complete the table.
a dog, a cat, or a bird. The frequency table
shows how many people have each kind of pet. Total Relative Frequency
Complete a relative frequency table to show the
Table
distribution of the data with respect to all
Pets Men Women Total
150 people.
% % %
Cat % % %
Frequency Table
Pets Men Women Total
Bird % % %
Dog 30 38 68
Total % % 100%
Cat 30 19 49
(Round to the nearest tenth as needed.)
Bird 17 16 33
Total 77 73 150
Explanation is in the file
tinyurl.com/wpazsebu
Given f(x)=3(x-1)(x-7) what is the minimum output value of the function
Answer:
-27
Step-by-step explanation:
f(x) = 3(x-1)(x-7)
= (3x-3)(x-7)
= 3x^2 - 24x + 21
when f(x) = 0, x = 7 or 1
x-intercept of vertix of the graph = (7+1 )/ 2 = 4
f(x) attains it's minimum when x = 4
The minimum output value = 3(4-1)(4-7) = -27
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=71°, and DB = 67 feet. Find the length of BC to the nearest tenth of a foot.
Answer:
in triangle BCD
relationship between base and hypotenuse is given by cos angle
cos 71=b/h
cos71=BD/BC
cos71=67/x
x=67/cos71=205.8ft.
the length of BC to the nearest tenth of a foot is 206ft.
Трикутна піраміда побудована з 10 однакових кульок так,
Як показано на малюнку 1. На кожній кульці написана
одна з букв A, B, C, D чи Е і кожна буква написана на двох
кульках. На малюнку 2 зображено вигляд цієї піраміди з
трьох різних боків. Яка буква на кульці зі знаком питання?
Answer:
Sorry I don't know this language
Help D: !
Evaluate the expression of the given value of x.
a. 2 + x^3, x is 3.
b. x^2, x is 1/2
c. 3x^2, x is 5
d. 100 - x^2, x is 6
Answer:
Step-by-step explanation:
Write a fraction for each percent.
75% of 96
Answer:
72/96
Step-by-step explanation:
The rectangle below has an area of 70 square meters. Find the dimensions of the rectangle. (x - 11) (x - 8)
Answer:
the dimensions of the rectangle are 10 and 7.
Step-by-step explanation:
Given;
area of the rectangle, A = 70 m²
dimensions of the rectangle, = x - 11 and x - 8
The area of rectangle is calculated as;
A = L x B
70 = (x - 11)(x - 8)
70 = x² - 8x - 11x + 88
0 = x² - 8x - 11x + 88 - 70
0 = x² - 19x + 18
0 = x² - x - 18x + 18
0 = x(x - 1) -18(x - 1)
0 = (x - 18)(x - 1)
0 = x - 18 or
0 = x - 1
x = 18 or 1
The dimensions of the rectangle are calculated as;
L = 18 - 11 = 7
B = 18 - 8 = 10
Therefore, the dimensions of the rectangle are 10 and 7.
The Brown’s used 50 feet of rope to surround their rectangular garden. The length of the garden is 4 times as much as its width.
Answer:
200 feet
Step-by-step explanation:
im confused on this one
Ivy bought a new pair of basketball shoes that were on sale for 25% off. If
the regular price of the shoes was $75.95, what is the amount of discount?
What is the measure of b
Answer:
abcd
Step-by-step explanation:
efg
Please answer this quickly
Answer:
Polymomial with 4 terms i believe
Calculate the commission amount for the sale.
7% commission on a $2,560 sale
Answer:
$179.2
Step-by-step explanation:
7% of 2,560 is 179.2
What is
Mean
Medium
And Mode
Answer:
mean is the average value in the list.
first you add all number, then divide that value by the total number in the list
lets say (2,3,4,5)
you add 2+3+4+5 = 15 / 4
4 is the count
you'll get the average.
medium is the middle value in the list, but you should list from least to greatest
mode is repeated value in the list
Answer:
Step-by-step explanation:
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers.
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory.
The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.
WILL MARK BRAINLIEST!!!
Answer:
The last one.
Step-by-step explanation:
If you can't see or there's something you don't understand you can ask:) Good luck and I hope it helps.
What are the zeros of the function
f(x)=x^2-7x−30
Answer:
x = 10 , -3Step-by-step explanation:
x² - 7x - 30 = 0
x² + 3x - 10x - 30 = 0
x ( x + 3 ) - 10 ( x + 3 ) = 0
( x - 10 ) ( x + 3 )
x = 10 , -3
Answer:
-3 and 10
Step-by-step explanation:
[tex]f(x)=x^2-7x-30[/tex]
1) Factor the equation
First, find two factors of -30 which has a sum of -7.
⇒ These two factors are 3 and -10.
Then, write the equation as a product of two binomials.
[tex]f(x)=(x+3)(x-10)[/tex]
2) Find the zeros
The zero product property states that any value, when multiplied by 0 will equal 0. Therefore, in this equation, either x+3 or x-10 must equal 0 for the function to equal 0:
x+3=0
x=-3
or
x-10=0
x=10
Therefore, the zeros of the function are -3 and 10.
I hope this helps!
Will spent $40 at the fair. It cost $20 to get in the fair and $0.50 per ticket to ride the rides. How many tickets did Will buy? A. 40 B. 20 C. 120 D. 30
Answer:
B.20
Step-by-step explanation:
I need help with all my 7 questions can someone help me with the first one ?
Answer:
x = 53
Step-by-step explanation:
x = 53 (Vertically Opposite Angles)
can someone help me to solve these two problems pls I will really appreciate I will mark you the brainly!
Answer:
12. 524 in³ (3 sig. fig.) 13. 2000 cm³ (3 sig. fig.)
Step-by-step explanation:
12. Volume of sphere = (4/3)πr³
= 500/3π
= 524 in³ (3 sig. fig.)
13. Volume of cylinder = πr²h
= 7²π(13)
= 637π
= 2000 cm³ (3 sig. fig.)