look at the picture
A hibernating animal lost 4 pounds. Write a signed number to represent this weight change
Answer: -4 pounds
Step-by-step explanation:
The hibernating animal lost 4 pounds. This means we are 4 below wherever the animal's weight was in the beginning. This can be represented with a negative number;
-4 pounds
What is the range of the function represented by the following graph?
*
1 point
Captionless Image
A. all real numbers greater than 4
B. all real numbers less than - 1
C. all real numbers greater than - 6
D. all real numbers less than - 4
Answer:
C the prove is right there on the graph
Answer:
C
Step-by-step explanation:
The graph clearly shows that all the numbers are greater than -6
how to evaluate 16/81 1/2
An expression is defined as a set of numbers, variables, and mathematical operations. The value of (16/81)^(1/2) is 4/9.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the given expression (16/81)^(1/2) can be calculated as shown below,
[tex](\dfrac{16}{81})^{\frac12}\\\\=\sqrt{\dfrac{16}{81}}\\\\= \dfrac49[/tex]
Hence, the value of (16/81)^(1/2) is 4/9.
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Answer:
★The square root of 16/81 = 4/9.
what is the 10th term for sequence 4; 8; 13; 19; 26
Answer:
40
Step-by-step explanation:
If an investor invests $24,000 into two bonds, one that pays 4% in simple interest, and the other paying 2% simple
interest, and the investor earns $700 annual interest, how much was invested in each account?
Round your answers to the nearest dollar.
2% bond: $
4% bond: $
Answers:
2% bond: $11000
4% bond: $13000
========================================================
Explanation:
x = amount invested in the 4% bond
y = amount invested in the 2% bond
Amounts are in dollars
The two amounts add to $24,000 so
x+y = 24000
y = -x+24000 is one equation to set up
0.04x = interest earned from the 4% bond
0.02y = interest earned from the 2% bond
0.04x+0.02y = total interest earned = $700
0.04x+0.02y = 700 is another equation to set up
------------
The system of equations is
[tex]\begin{cases}y = -x+24000\\0.04x+0.02y = 700\end{cases}[/tex]
Apply substitution. Solve for x.
0.04x+0.02y = 700
0.04x+0.02(-x+24000) = 700
0.04x-0.02x+480 = 700
0.02x= 700-480
0.02x= 220
x= 220/(0.02)
x = 11000
Use this to find y
y = -x+24000
y = -11000+24000
y = 13000
A paint mix uses red and white paintin a ratio of 1:12.
a) How much white paint will be needed to mix with 1.4
litres of red paint ?
b) Ifatotalof15.5litresofpaintismixed,calculate
the amount of white paint and the amount of red paint used. Give your answers to the nearest 0.1 litre.
Answer:
(a).16.8 litres
(b).red-1.2 litres
white-14.3 litres
Find f(g(x)) and g(f(x)).
f(x)=x²-2 and g(x)=√x+1
Answer:
1. x - 1
2. [tex]\sqrt{x^2-1}[/tex]
Step-by-step explanation:
[tex]f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1[/tex]
[tex]g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}[/tex]
Which of the following linear equations passes through points (-1,5) and (1,-5)?
Y=-5x
Y=5x+10
Y=-2x+3
Answer:
y = -5x
Step-by-step explanation:
gradient = delta y / delta x
gradient = -10 / 2
gradient = -5
y = mx + b
5 = -5(-1) + b
5 = 5 + b
b = 0
y = -5x
Which graph represents a reflection of f(x) = One-third(9)x across the x-axis?
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (1, 3) and increases to (1.25, 7).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It goes through (negative 1, 3) and (negative 1.25, 7).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, negative 3) and (1.25, negative 7).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 4 and decreases into quadrant 3. It goes through (negative 1, negative 3) and (negative 1.25, negative 7).
Using translation concepts, the graph that represents a reflection of [tex]f(x) = \frac{1}{3}(9)^x[/tex] across the x-axis is:
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, - 3) and (1.25, -7).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the function is:
[tex]f(x) = \frac{1}{3}(9)^x[/tex]
Which approaches y = 0 in quadrant 2 and increases into quadrant 1. For the reflection over the x-axis, the function assumes inverse(negative) values, that is, quadrant 2 -> quadrant 3 and then quadrant 1 -> quadrant 4, hence the correct statement is:
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It goes through (1, - 3) and (1.25, -7).
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The graph which represents a reflection of f(x) = One-tenth(10)x across the y-axis is:
B. On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1).
Coordinate Plane
This refers to the two-dimensional surface which is made up of two number lines, x and y.
With this in mind, we can see that from the complete text, we can see that the given graph on the function of x on the y-axis is on a coordinate plane.
Therefore, the correct answer is option B
2x+3y=9 -2x+2y=6 The y cordinate
Answer:
y = 3
Step-by-step explanation:
2x + 3y = 9
-2x + 2y = 6
We have to add these two equations which gives us 5y = 15. Now, if you divide by 5 on both sides you get y = 3.
Simplify that a chemical is mxing two acid solutions one of 45% concentration and the other of 55% cencetration which of the following concentration could not be obtained
47 49 53 59
The concentration could not be 59.
What is concentration?
The concentration of a solution is a measure of the amount of solute that has been dissolved in a given amount of solvent or solution.
Given:
solutions one of 45% concentration
other of 55% concentration.
The concentration should lie between 45 % to 55 %.
This is because it is not possible to get a mixture concentration which is lower than the lower concentrated acid or higher than the higher concentration acid.
Hence, Mixture concentration must be between 45% and 55%.
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(-3,-2) (x,6) m=-8/5 solve for x
Answer:
-8
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
-8/5=(6-(-2))/(x-(-3))
-8/5=(6+2)/(x+3)
-8/5=8/(x+3)
5=-(x+3)
5=-x-3
-x=5+3
-x=8
x=-8
The scale on a map shows that 200 miles is represented by 5 inches on a map. Which proportion can be used to find the distance on the map, x, that represents 50 miles? StartFraction 5 over 200 EndFraction = StartFraction x over 50 EndFraction StartFraction 200 over 5 EndFraction = StartFraction x over 50 EndFraction StartFraction 50 over 200 EndFraction = StartFraction 5 over x EndFraction StartFraction 5 over 50 EndFraction = StartFraction x over 200 EndFraction
The proportion can be used to find the distance on the map (x) that represents 50 miles will be x/50 = 5 / 200. Then the correct option is A.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The scale on a map shows that 200 miles is represented by 5 inches on a map.
Then the proportion can be used to find the distance on the map (x) that represents 50 miles will be
x/50 = 5 / 200
Then the correct option is A.
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What is the product?
2 3
5 9 -1 -7
11 5 -3
10 15 20
45 -5 -35
55
10
4 2
55
7
14
25 -15
45 -1 -7
315
+7 9
CO
8
9
4 1-2
Answer:
A.
Step-by-step explanation:
Hello, this is what we call matrix. multiplication matrix to be precised.
so it is;
5×2=10
5×3=15
5×4=20
5×9=45
5×-1= -5.
5×-7= -35
5×11=55
5×5=25
5×-3= -15.
i hope you understand. That is matrix for you but it has different categories
Help needed on this composition math problem
Given that f(x) = x/(x - 3) and g(x) = 1/x and the application of function operators, f ° g (x) = 1/(1 - 3 · x) and the domain of the resulting function is any real number except x = 1/3.
How to analyze a composed function
Let be f and g functions. Composition is a binary function operation where the variable of the former function (f) is substituted by the latter function (g). If we know that f(x) = x/(x - 3) and g(x) = 1/x, then the composed function is:
[tex]f\,\circ\,g \,(x) = \frac{\frac{1}{x} }{\frac{1}{x}-3}[/tex]
[tex]f\,\circ\,g\,(x) = \frac{\frac{1}{x} }{\frac{1-3\cdot x}{x} }[/tex]
[tex]f\,\circ\,g\,(x) = \frac{1}{1-3\cdot x}[/tex]
The domain of the function is the set of x-values such that f ° g (x) exists. In the case of rational functions of the form p(x)/q(x), the domain is the set of x-values such that q(x) ≠ 0. Thus, the domain of f ° g (x) is [tex]\mathbb{R} - \{\frac{1}{3} \}[/tex].
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please help me i am struggling
The Equation is represented as [tex]\rm F = \dfrac{9}{5} (K -273.15 ) +32[/tex]
Option B is the answer.
What is an Equation ?An equation is am mathematical statement formed when an algebraic expression is equated by an equal sign with another algebraic expression or a constant.
A Equation is given in the question
[tex]\rm K = \dfrac{5}{9}(F -32) +273.15[/tex]
where K denotes temperature in Kelvins and F denotes Fahrenheit .
To convert the equation in terms of K it can be rewritten as follows
[tex]\rm K = \dfrac{5}{9}(F -32) +273.15\\\\K -273.15 = \dfrac{5}{9}(F -32) \\\\\dfrac{9}{5} (K -273.15 ) = F - 32\\\\F = \dfrac{9}{5} (K -273.15 ) +32[/tex]
Therefore Option B is the right answer.
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1532=8467 4286=5713 3059=
Answer:
3059=6940
Step-by-step explanation:
For the two examples given, we can see a consistency:
1 becomes 8 ; 8 becomes 1
5 becomes 4 ; 4 becomes 5
3 becomes 6 ; 6 becomes 3
2 becomes 7
because they are the only two digits left without a correlated pair, we can assume that 0 and 9 have the same relationship
So,
3 -> 6
0 -> 9
5 -> 4
9 -> 0
Meaning that 3059=6940
hope this helps!! have a lovely day :)
Solve for x : 2/5x -9 < 3/5x+3
X < 60
X > -60
-x < -60
-x < 60
Answer:
x>-60
Step-by-step explanation:
Combine multiplied terms into a single fraction
2/5x - 9 < 3/5x + 3
2x/5 - 9 < 3/5x + 3
Find common denominator
2x/5 - 9 < 3/5x + 3
2x/5 + 5(-9)/5 < 3/5x + 3
Combine fractions with the common denominator
2x + 5(-9)/5 < 3/5 + 3
I HOPE YOU GOT THE ANSWER JUST SIMPLIFY IT (2x + 5(-9)/5 < 3/5 + 3) AND YOU WILL GET THE ANSWER YOURSELF AS I HAVE GIVEN ABOVE PLS MARK ME AS THE BRAINLILEST IF YOU LIKE TO AND MY ANSWER HELPED YOU:)
Answer:
[tex]\boxed {x > -60}[/tex]
Step-by-step explanation:
2/5x - 9 < 3/5x + 3
-1/5x < 12
x > -12 x 5
x > -60
Solve for x in the triangle. Round your answer to the nearest tenth.
14
x
68
X
Answer:
x=15.1
Step-by-step explanation:
Side definitionsIn a right triangle, the side across from the right angle is always the hypotenuse.
The other two sides are termed "legs".
Once one of the other two angles is chosen as the angle to work from, then the two legs can be defined as the "opposite" and the "adjacent"
The leg touching the angle is the "adjacent" leg (or adjacent side), and the leg across from the angle is the "opposite" leg (or opposite side).
Trigonometric function definitions[tex]\sin(\theta)=\dfrac{\text{opposite side}}{\text{hypotenuse}}[/tex]
[tex]\cos(\theta)=\dfrac{\text{adjacent side}}{\text{hypotenuse}}[/tex]
[tex]\tan(\theta)=\dfrac{\text{opposite side}}{\text{adjacent side}}[/tex]
In this situation, the given angle is in the bottom right. A value is given for the side opposite the given angle, and the requested value is on the hypotenuse.
So, the two sides of interest are the "opposite" and the "hypotenuse". The trigonometric function that relates these two sides is the sine function.
Calculating x[tex]\sin(\theta)=\dfrac{\text{opposite side}}{\text{hypotenuse}}[/tex]
[tex]\sin(68^o)=\dfrac{(14)}{(x)}[/tex]
Evaluating the sine function in a calculator (in degree mode):
[tex]0.9271838546...=\dfrac{14}{x}[/tex]
Multiply both sides by x:
[tex](0.9271838546...)x=\left (\dfrac{14}{x} \right)x[/tex]
[tex](0.9271838546...)x=14[/tex]
Divide both sides by the decimal number:
[tex]\left (\dfrac{(0.9271838546...)x}{0.9271838546...} \right)=\dfrac{14}{0.9271838546...}[/tex]
[tex]x=15.0994864...[/tex]
Rounded to the nearest tenth, x=15.1
5 hundreds minus 4 tens?*
Answer:
460
Step-by-step explanation:
4 tens is equivalent to 40, so 500-40 is = to 460.
Hope this helps! :D
hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
⊱┈────────────────────────┈⊰
[tex]\large \bold {ANSWER}[/tex]
[tex]\large \boxed { \large \sf \green{460}}[/tex][tex]\large \bold {SOLUTION}[/tex]
5 hundreds is 5 multiplied by 100, so it equals 500. 4 tens is 4 times 10, so 40.
500 - 40 = 460So 5 hundreds minus 4 tens is 460.
A rug is in the shape of a square. It measures 18 feet on each side. What is its perimeter?
Answer:
72ft²
Step-by-step explanation:
a square has 4 equal sides, when each one is 18ft, the total perimeter will be 18×4=72ft²
Hii!
_____________________________________________________
[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}\circ\leftharpoonup}}[/tex]
Perimeter of the rug = 72 ft
[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}\circ\leftharpoonup}}}[/tex]
[tex]\bullet[/tex] Let's work out the perimeter
[tex]\twoheadrightarrow\sf P=4a[/tex] a=length of one side
[tex]\bullet[/tex] Stick in the values
[tex]\twoheadrightarrow\sf P=4\cdot18[/tex]
[tex]\bullet[/tex] Multiply
[tex]\twoheadrightarrow\sf P=72ft[/tex]
--
Hope that this helped! Best wishes.
[tex]\stackrel\star{\textsl{Reach far. Aim high. Dream big.}}[/tex]
--
Need help with this geometry question
Answer: 10 inches
Step-by-step explanation:
Diagonals of a parallelogram bisect each other, so the top of the jack is 5(2)=10 inches off the ground.
One number is 2 more than another number. The product of the numbers is 440. Find the numbers.
Answer:
219,221
Step-by-step explanation:
the second number can be represented by the equation n1+2=n2
adding these expressions together you get
(n+2)+n=440
youre going to think of n now as just your first number because the equation solves for n1
with that you will get a number valued at 219
you then solve the first equation n1+2=n2 because we now know the value of n1
219+2=221
so the second numbers value is 221
D
4
3
2
1
-5 -4 -3 -2 -1 0
1
2
GO
-4
-5
A
1
2
3 4 5 Match the graph with its equation
This graph represents the equation y = -3
algebra 2 help needed urgent !!!
Answer:
11, 7, 3, -1, -5
Step-by-step explanation:
The dependent variable y is often used interchangeably with the function value f(x). That is, we can usually presume that ...
y = f(x)
__
evaluate the functionTo find f(x), put the value of x everywhere x appears in the function definition, and do the arithmetic. A calculator or spreadsheet can relieve some of the boredom of repetition. Here are a couple of examples.
f(-2) = -4(-2) +3 = 8 +3 = 11
f(-1) = -4(-1) +3 = 4 +3 = 7
time saverYou may notice that each increase of 1 in the value of x causes a decrease of 4 in the value of y. That means we can simply subtract 4 from the previous value of y to find the next one:
[tex]\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}-2&11\\\cline{1-2}-1&7\\\cline{1-2}0&3\\\cline{1-2}1&-1\\\cline{1-2}2&-5\\\cline{1-2}\end{array}[/tex]
__
Attached is an example of this table being filled by a calculator.
PLEASE HELP Only A
PLEASE
Answer:
= -9/15 ÷ 4/3
= -9/15×3/5
= -9/15×3/4
= 36/5
=7⅕
What is a value plus 8, in algebraic expression
find the value of x y and z?
Answer:
Step-by-step explanation:
Reuben rented a truck for one day. There was a base fee of $14.95, and there was an additional charge of 80 cents for each mile driven. Reuben had to pay
$135.75 when he returned the truck. For how many miles did he drive the truck?
Answer:
hczgdjatulsfulsitsfisfula7tl7roa7pts