g(-3) = 0.5 =
[tex] \frac{1}{2} [/tex]
[tex]\huge\mathfrak\colorbox{white}{}[/tex]
g(2) as defined = 2
[tex]\huge\mathfrak\colorbox{white}{}[/tex]
g(4)= 8-4 = 4
The sides of a triangle measure 12 inches, 17 inches, and 24 inches. What is the area of the triangle? Round to the nearest tenth.
The area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have:
The sides of a triangle measure 12 inches, 17 inches, and 24 inches.
From the formula:
[tex]\rm Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]\rm s = \dfrac{a+b+c}{2}[/tex]
a = 12, b = 17, c = 24 inches
[tex]\rm s = \dfrac{12+17+24}{2} = 26.5[/tex]
Plug all the values in the formula we get:
Area = 95.529 ≈ 95.53 square inches
Thus, the area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.
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Sheila has $51 to buy graphing pads for her math class. Each pad costs $7.
How many pads can she buy?
Answer:
She can buy 7 pads because 7 x 7 = 49.
Answer:
7
Step-by-step explanation:
7×7=49 and you cant by a portion of a graphing pad sooo the answer is 7
Please see attached question 3 of 25
Answer:
2(3x + 4)
Step-by-step explanation:
to solve this equation you can distribute the two throughout the equations
an easy way to see which one is correct is to check the symbols and what they multiply to
the first expression is obviously wrong as it has a negative symbol
we can now look at the second to last ones
the third one is wrong because 4x and 2 multiply to 6x
the last one is wrong because 2 and 8 do not multiply to 8
the answer is the third one
What is the volume of the bookend?
“See image” I CANT FIGURE THIS OUT
(Hint: The volume of a rectangular prism is the product of its length, width, and height.)
A.
B.
C.
D.
Answer:
(573+9/2 cubic inches
Step-by-step explanation:
the answer is A
Find the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem.
The measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.
What is a polygon?A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The sum of the interior angle of a polygon with 'n' number of sides is given by the formula,
The sum of the interior angle = (n-2)×180°
As it is known that a hexagon has 6 number of sides, therefore, the sum of the interior angles can be written as,
The sum of the interior angle of Hexagon = (6-2)×180° = 720°
Now, the measure of each interior angle = (720°/6) = 120°
Hence, the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.
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30 POINTS. HELP!
Which of the three types of discontinuities (removable, jump, and infinite), would be represented by a limit that can only be found by simplifying a rational expression or multiplying by a conjugate? Why?
Answer:
jump equation
bu multiplying by a conjugate
A rectangular park has a perimeter of 374 feet and a length of 65 feet.
What is the width of the park?
Answer: 122
Step-by-step explanation:
▪︎ Perimeter = (width + length) * 2
374 = (width + 65) * 2
width + 65 = 374 / 2
width + 65 = 187
width = 187 - 65
width = 122
Sarah plays softball where a single is one base, a double is two bases, a triple is three bases, and a home run is four bases. In her last game, she only hit singles and triples, for a total of 14 bases. She had two more triples than singles. Choose the graph that best depicts this problem. graph the solution
Find m WVT
A. 53
B. 45
C. 40
D. 50
Answer:
ok i find a.53 b.45c.40d.50 he anwer is hulaan monalang. A53
Solve 2x - 8 ≥ 22 - 4x.
A. x ≥ 5
B. x ≥ -15
C. x ≤ 5
D. x ≤ -15
Answer:
A. x ≥ 5
Step-by-step explanation:
Given :
2x - 8 ≥ 22 - 4x
Add 8 to each side :
2x - 8 + 8 ≥ 22 - 4x + 8
2x ≥ 30 - 4x
Add 4x to each side :
2x + 4x ≥ 30 - 4x + 4x
6x ≥ 30
Divide both sides by 6 :
1/6 x 6x ≥ 1/6 x 30
x ≥ 5
the normal return on investment considered effective inflation and purchasing power inflation rate positive the normal rate return will be go to the real real return on investment
Answer:
What is the normal rate of return?
Normal rate of return . ' means the average rate of return that a firm would receive in an industry when conditions of perfect competition prevail.
Step-by-step explanation:
Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, and only function f is negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, but both functions are negative. D. Both functions are increasing, but function g increases at a faster average rate.Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, and only function f is negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, but both functions are negative. D. Both functions are increasing, but function g increases at a faster average rate.
Both functions are increasing, but function g increases at a faster average rate.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Let f(x) = abˣ + c
At x = 0, f(0) = -10. Then we have
a + c = -10
Then similarly, by satisfying the above table in f(x) will be
[tex]\rm f(x) = - \dfrac{33}{5} \left ( \dfrac{1}{11} \right )^x - \dfrac{17 }{5} \\\\f'(x ) > 0[/tex]
Then we can say f(x) is an increasing function.
[tex]\rm g(x) = - 18 \left ( \dfrac{1}{3} \right )^x +2 \\\\g'(x ) > 0[/tex]
Then we can say g(x) is an increasing function.
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Answer:
The correct answer would be option D- Both functions are increasing, but function g increases at a faster average rate.
Hope this helps and good luck!
Find the area of the polygon. 10cm 10cm 16cm
Answer:
see the attachment photo!
Does anyone understand this?
Determine the degree of each polynomial listed.
1. y4 x3 v + 14
2. 2x + 6
3. 5y10 – 6x7y3 – 4y – 5
4. x3 +4y – 9
5. 60x2 y + 8
Answer:
811033Hope it helps.
Evaluate A² for A = -4.
Answer:
-4^2= 16
Step-by-step explanation:
a^2 when A=-4 means -4^2 which, when expanded means, -4*-4 that equals a positive 16 because the negatives cancel out.
Answer:
-4^2= 16
Step-by-step explanation:
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0) (4,-2)
Answer:
y = -2x
Step-by-step explanation:
From the figure, the given line passes through the points (0, 0) and (-4, 8).
Recall that the equation of a straight line is given by
Thus, the equation of the given figure is given by
-4y = 8x
Therefore, the answer is y = -2x.
How to convert decimals to other decimals
Answer:
Step 1 − Divide the decimal number to be converted by the value of the new base.
Step 2 − Get the remainder from Step 1 as the rightmost digit (least significant digit) of new base number.
Step 3 − Divide the quotient of the previous divide by the new base.
Step 4 − Record the remainder from Step 3 as the next digit (to the left) of the new base number.
Step-by-step explanation:
Repeat Steps 3 and 4, getting remainders from right to left, until the quotient becomes zero in Step 3.
The last remainder thus obtained will be the Most Significant Digit (MSD) of the new base number.
Miguel is designing shipping boxes that are rectangular prisms. The shape of one box, with height h in feet, has a volume defined by the function V(h) = h(h - 7)(h - 11). Graph the function. What is the maximum volume for the domain 0 < h < 11? Round to the nearest cubic foot.
Answer:
96 ft³
Step-by-step explanation:
A graphing calculator conveniently graphs this function. It shows the maximum volume is about 96 ft³.
First try was incorrect
Ivy is making fasnacht (deep-fried German doughnuts) to sell the
Tuesday before Ash Wednesday, her bakery's biggest fasnacht day of
the calendar year. She has 6 pounds of butter and her recipe calls for
1
2
cup of butter per 1.5 dozen fasnacht. If 1 pound of butter is 2 cups,
then how many cups of butter will Ivy have left over after making 30
Answer:
3 cups of butter ivy will have left over
i need help with 7th grade math please need help ASAP + brainleist
Answer:
Area : π mm²
Circumference : 2π mm
Step-by-step explanation:
Finding area :
πr²π x 1²π mm²Finding circumference :
2πr2 x π x 12π mmSusan got to the school bus stop at 6:08, she waited 1 minute for the bus. What time was it when Susan’s bus came?
Answer:
6:09
Step-by-step explanation:
6:09 is one minute after 6:08
ANSWER CORRECTLY FOR BRAINLIEST!! (ALGEBA)
Answer:
267.95 cubic yards
Explanation:
volume of sphere: 4/3 π(radius)³
Here given:
radius: 4 ydVolume:
4/3 π(radius)³insert values
4/3 (3.14)(4)³simplify
267.9466final answer
267.95 yd³Write the quadratic equation whose roots are -1 and -4, and whose leading coefficient is 4. (Use the letter x to represent the variable.)
Answer:
4x² + 20x + 16 = 0
Step-by-step explanation:
Quadratic equation:(leading coefficient) * [x² - (sum of roots)*x + product of roots] = 0
4* [x² - ( -1 -4)x + (-1)*(-4) ] = 0
4*[ x² - (-5)x + 4] = 0
4 * [x² + 5x + 4] = 0
4*x² + 4*5x + 4*4 = 0
4x² + 20x + 16 = 0
467532 rounded by 100 000
Answer:
Round off value = 500000
Step-by-step explanation:
467532 > 500
- Round up
⇒ 500,000
х у
0 -11
1 -8
2 -5
3 -2
The table above represents what type of function?
A. linear
В. linear and nonlinear
C. neither linear nor nonlinear
D. nonlinear
Answer:
A. Linear
Step-by-step explanation:
As the x value goes up by 1, the y value goes up by 3 each time
You’re involved in the design of a new facility. It is important for people to move between work stations quickly. Based on the figure below, how many feet would a person need to walk to get from Work Station 1 to Work Station 3?
How does the graph of g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3?
g(x) is shifted 2 units to the right and 6 units down.
g(x) is shifted 2 units to the right and 6 units up.
g(x) is shifted 2 units to the left and 6 units down.
g(x) is shifted 6 units to the left and 2 units down.
The transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
How to compare the graphs?The equations are given as:
f(x) = x^3
g(x) = (x - 2)^3 + 6
The transformation from f(x) to g(x) can be represented as:
x -> x -2
f(x) -> f(x) + 6
This means that the function f(x) is shifted right by 2 units and shifted up by 6 units.
Hence, the transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
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Graph: f(x) = (1/4)x
Step 1: Calculate the initial value of the function. f(0) =
Step 2: Plot the initial value of the function at (0, 1).
Step 3: Evaluate the function at two more points. f(1) = 1/4 f(-1) = 4
Step 4: Plot the points (1, 1/4) and (-1, 4)
Step 5: Identify the horizontal asymptote of the function. The asymptote is the line y = 0
Step 6: The smooth curve that includes these points and approaches the asymptote shows the graph of the function
The initial value of the function is f(0) = 1 and the graph of the function has been attached.
How to interpret graphs of functions?We are given the function f(x) = (1/4)ˣ
1) Now, the initial value of the function is;
f(0) = (1/4)⁰ = 1
2) The initial value of the function which is the coordinate (0, 1) can be plotted on the attached graph and the point is where the graph crosses the y-axis.
3) f(1) = (1/4)¹ = 1/4
4) The points (1, 1/4) and (-1, 4)
5) The horizontal asymptote will be a vertical line which will be the value of x when y = 0.
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RS is the perpendicular bisector of PQ point T is the midpoint of PQ point U lies on RS if the length of UP is 7 units the length of UQ is how many units
If the length of UP = 7, then the length of UQ will also be = 7 units.
What is a perpendicular bisector?
A perpendicular bisector is a line that cuts a straight line into two both anteriorly and posteriorly.
From the given information:
RS || SQ = perpendicular linesT = midpoint of PQIf the length of UP = 7 units, then the length of UQ will also be = 7 units.
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A chemistry teacher needs to mix a 20% salt solution with an 80% salt solution to make 20 qt of a 40% salt solution. How many quarts of each solution should the teacher mix to get the desired result?
Answer:
6 2/3 qt 80%13 1/3 qt 20%Step-by-step explanation:
It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.
__
We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...
0.80x +0.20(20-x) = 0.40(20)
0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify
x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution
(20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed
The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.