Answer:
1256 ft²
Step-by-step explanation:
20 ÷ 2 = 10
4πr²
4 × 3.14 × 10²
4 × 3.14 × 100
4 × 314
1256
According to the bar graph above, which salary range is the least frequent?
9514 1404 393
Answer:
D. $101,000 – $120,000
Step-by-step explanation:
The bar graph is not completely labeled, but in the context of the question it seems safe to assume that the vertical scale can be considered to represent relative frequency.
So, the shortest bar is the one with the lowest frequency. The horizontal scale identifies that as 101-120. If we assume that is salary in thousands of dollars, then Choice D is appropriate.
Please help!! I'm super confused
Answer:
Step-by-step explanation:
The top part (is a square)
Area = s^2
Area = 10 * 10
Area = 100
The bottom part is a trapezoid
h = 4
b1= 6
b2 = 10
Area = (b1 + b2) * h / 2
Area = (10 + 6 ) * 4/2
Area = 16 * 4 /2
Area = 32
Total Area = 132
What is the equation of the line?
Answer:
y = -7
Step-by-step explanation:
This is a horizontal line
The y value does not change
It is of the form y=
y = -7
Answer:
y = -7
Step-by-step explanation:
A horizontal line has an equation of the form
y = k
where k is the y-coordinate of every point on the line.
We see that every point on this line has y-coordinate -7, so the equation is
y = -7
f(x) = 3x2 – x + 5; g(x) = 2x – 3. find f(x)-g(x)
Answer:
f(x) - g(x) = 3x² - 3x + 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3x² - x + 5
g(x) = 2x - 3
Step 2: Find f(x) - g(x)
Substitute in function values: f(x) - g(x) = 3x² - x + 5 - (2x - 3)[Distributive Property] Distribute negative: f(x) - g(x) = 3x² - x + 5 - 2x + 3[Subtraction] Combine like terms (x): f(x) - g(x) = 3x² - 3x + 5 + 3[Addition] Combine like terms: f(x) - g(x) = 3x² - 3x + 8Can someone help me with this
Answer:
2, 4, 6, and 8, respectively
Step-by-step explanation:
The rule says that 2 times the x value, which we are given, equals to y, which we must find. So all we hve to do is multiply each of the given x values by two to get the y value.
Answer:
y=2x
Step-by-step explanation:'
Multiply the x times 2
[tex]\frac{1}{2}[/tex] [tex]\frac{2}{4}[/tex] [tex]\frac{3}{6}[/tex] [tex]\frac{4}{8}[/tex]
2 4 6 8
Y is inversely proportional to the square of x. If Y = 9 when x = 2, then what is y, when x is 10?
Answer:
y = 0.36
Step-by-step explanation:
Given y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation
To find k use the condition y = 9 when x = 2 , then
9 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
36 = k
y = [tex]\frac{36}{x^2}[/tex] ← equation of variation
When x = 10 , then
y = [tex]\frac{36}{10^2}[/tex] = [tex]\frac{36}{100}[/tex] = 0.36
Find the area of the shaded regions:
The green area is the shaded region.
Answer:
254.34cm^2
Step-by-step explanation:
area=πr^2
area=3.14*9^2
area=3.14*81
area=254.34 cm^2
This Measure of Center gives you the average number.
Mean
Median
Mode
please help im stuck
Answer:
Area of field = 10 cm²
Step-by-step explanation:
Given field is a trapezium;
Parallel sides of given field are; 1¹/₂ cm and 3¹/₂ cm
Height of trapezium = 4 cm
Find:
Area of field
Computation:
Area of field = Area of trapezium
Area of trapezium = [Sum of Parallel sides / 2][h]
Area of field = [(1¹/₂ + 3¹/₂) / 2][4]
Area of field = [(5) / 2][4]
Area of field = [2.5][4]
Area of field = 10 cm²
Show that p-1 is a factor of p10 -1.
Answer:
9
Step-by-step explanation:
p-1=0
p=1
p10-1=?
1*10-1=?
10-1=9
What additional piece of information is needed to prove the triangles congruent by ASA?
S
T
J
B
D
P
A. ZT ZD
B. ZJ - ZS
C
JT – SD
D. TB-DP
Answer:
option B
Step-by-step explanation:
ASA congruent triangles shall have one more angle being equal
The rectangles below are similar. Find the length of the missing side (giving brainliest and thanks to all!)
Answer:
A = 68/5 ≈ 13.6
Step-by-step explanation:
If they're similar, the fraction between their sides have to be the same:
5/2 = 34/A
34•2/5 = A
A = 68/5 ≈ 13.6
Figure A is a scale image of Figure B what is the value of x
Answer:
72
Step-by-step explanation:
20 got 4 added to it and the only number that gives you 24 when you multiply it is 4x6 and we can prove that to be right because the one before it is 4x5 and it gives us 20. Now that we know the multiplier is 5 and 6 we can ask ourselves, "What do I multiply by 5 that gives me 60?" And that is 12. So 12x6 is 72 for x.
A grocery store sells apple and oranges by the pound the cost of the apples is $1.30 the cost of the oranges is $1.84 how much more is the cost for 1 and 1 half pound of oranges than the cost for 1 and 1 half pounds of apples?
Answer:
1.5 pounds of oranges cost $0.81 more than 1.5 pounds of apples
Step-by-step explanation:
1.5 pounds of apples = 1.5 × $1.30 = $1.95
1.5 pounds oforanges = 1.5 × $1.84 = $2.76
$2.76 - $1.95 = $0.81
The table below shows elevation of different locations in the world. List the elevations in order from greatest to least.
Answer:
C 230, 92, 75, -52, -92
Step-by-step explanation:
from greatest to least.
please tell your teacher it would correctly be called "from highest to lowest".
but he/she was only focusing on numbers. understandably. so, from the greatest value to the least value.
positive numbers get smaller in their absolute values, when we go to the smaller side, but negative numbers get "bigger" in their absolute values, when we go to the smaller side.
-2 is smaller or lower than -1
and so on.
that is the reason for the correct answer.
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1400.
What was the rate charged per hour by each mechanic if the sum of the two rates was $165 per hour
Answer:
$115/hr The 10 hr mechanic
$50/hr The 5hr mechanic
Step-by-step explanation:
let the 10 hr mechanic charge x
then the 5 hr mechanic charges 165 - x
------------------------------
10x + 5(165 - x) = 1400
10x + 825 - 5x = 1400
5x = 575
x = 115 The 10 hr mechanic
165 - x = 50 The 5hr mechanic
What is the slope intercept equation for the line below?
Answer:
The answers is B
y=5/4x-4
yes or noo ? ……………..
Answer:
no
Step-by-step explanation:
A circle will fail the vertical line test, which means a vertical lines intersects two or more points. If it fails the vertical line test, it is not a function
help me please this is due at 2:20
Answer:
94.2
Step-by-step explanation:
Answer:
C = pie x diameter
= 3.14 x 30
= 94.2 units
What is the approximate value of sin C?
Which expression is equivalent to log 20 + 2 log x - log y ? a) log(20x^2y) b) log(10x/y) c) log(20/x^2 y) d) log(20x^2 /y)
OPTION D
log(20x²/y)
is the correct answer
the answer is D!
Step-by-step explanation:
hope it helped!have a nice day!!!
The graph of an absolute value function = a|x| includes the point (1,6). Complete the following statements. The value of a is ____
Answer:
6
Step-by-step explanation:
y = f(x)
6 = a |1 |
6 = a. 1
a = 6/1
a = 6
Answer:
[tex] \displaystyle a = 6[/tex]
Step-by-step explanation:
we are given a absolute value function
[tex] \displaystyle f(x) = a |x| [/tex]
we want to figure out the value of a
since we are a point which is on the function we can figure out a by using the point i.e (1,6) this point tell us when x is 1 f(x) is 6 thus
substitute:
[tex] \displaystyle 6= a \cdot |1| [/tex]
absolute value of any integer is positive therefore,
[tex] \displaystyle 6= a \cdot 1[/tex]
simplify multiplication:
[tex] \displaystyle 6= a [/tex]
hence,
the value of a is [tex]\underline{\quad 6 \quad}[/tex]
when you multiply terms with exponents you
Answer:
You add the powers and multiply coefficients.
in a bag containing 3 black balls and 2 red balls , a ball is picked at random then replaced. A second ball is chosen.
What is the probability of :
I. both balls being black II.one is black ,the other is red.
2.in a class of 22 boys and 18 girls , two students are to be selected .
What is the probability of selecting two students of the same sex.
3 black and 2 red balls, total number is 5
i) Both balls are black:
P(BB) = 3/5*3/5 = 9/25ii) Black and red balls:
P(BR) = 2/5*3/5 = 6/25#222 boys and 18 girls, total number is 40
Combinations of 2 students:
40C2 = 40!/38!2! = 40*39/2 = 780Combination of 2 boys:
22C2 = 22!/20!2! = 22*21/2 = 231Combination of 2 girls:
18C2 = 18!/16!2! = 18*17/2 = 153Probability of selecting 2 students of the same sex:
P(BB or GG) = (231 + 153)/780 = 384/780 =96/195 ≈ 0.4923 = 49.23%Pls help! (don't give wrong answer pls)
Decide whether the sequence is Arithmetic, Geometric or Neither.
4, 9, 16, 25, ...
Check arithmetic
t4-t3 t3-t2
25-16 16-9
=9 =7
sequence is not arithmetic bcoz t4-t3 is unequal to t4-t3
check geometric
t4÷t3 t3÷t2
25÷16 16÷9
=1.6 1.7
sequence is not geometric bcoz t4÷t3 is unequal to t3÷t2
neither
The point (-5,3) lies on the graph of f(x). Which of the following points lies on
f-1(x)?
Answer:
(3, -5).
Step-by-step explanation:
By the definition of inverses:
[tex]\text{If $f(a) = b$, then $f^{-1}(b)=a$}[/tex]
In other words, the inverse of a function returns the input when given the output of the original function.
We know that the point (-5, 3) lies on the graph of f(x). In other words:
[tex]f(-5)=3[/tex]
Then by definition:
[tex]f^{-1}(3)=-5[/tex]
So, the point (3, -5) must lie on the graph of f⁻¹(x).
5 to 20 1 to 4 7 to 480
if y is inversely proportional to x and y =5 when x = 2 find the value of y when x = 8
Answer:
y = 10/8 = 1.125 or 1 1/4
Step-by-step explanation:
Inverse proportion means
xy = a constant.
In this case, the constant is given by the example,
x = 2 when y=5, so
xy=10
when x = 8, then
y = 10/8 = 1.125 or 1 1/4
Can someone help me pls
4. Find (5.8 104) + (7.17 x 10).
Express you answer in scientific
notation. Show your work.
Step-by-step explanation:
(5.8 x 10⁴) + (7.17 × 10^6) =
(5.8 × 10⁴) + ( 717 × 10⁴)
= (5.8 +717) × 10⁴
= 722.8 × 10⁴
= 7.228 × 10^6
A wildlife refuge has 200 birds when it is first established. It is so
successful that the number of birds increases by 25% every year.
Write a function to model the situation.
Find the number of birds present after 7 years.
Answer:
[tex](a)\ f(x) =200(1.25)^x[/tex]
(b) 954 birds after 7 years
Step-by-step explanation:
Given
[tex]a = 200[/tex] --- initial
[tex]r =25\%[/tex] --- rate
Solving (a): The function.
This is represented as:
[tex]f(x) =a(1+r)^x[/tex]
So, we have:
[tex]f(x) =200(1+25\%)^x[/tex]
Express percentage as decimal
[tex]f(x) =200(1+0.25)^x[/tex]
[tex]f(x) =200(1.25)^x[/tex]
Solving (b): Birds after 7 years
This implies that we calculate f(7)
[tex]f(7) =200(1.25)^7[/tex]
[tex]f(7) =953.67[/tex]
[tex]f(7) =954[/tex] --- approximated