Answer:
The answer is choice B , 11 x 15
Step-by-step explanation:
To find area, you multiply one side by the adjacent side
11 and 15 are both adjacent, so you multiply to find the area of Sarah's room
Hope this helps !!!! Brainliest would be appreciated
Answer:
11x15
Step-by-step explanation:
it is the answer above because the dimensions of the room are 11 by 15 so written in an expression it is the answer above
The graph of h(x) is a translation of f (x) = RootIndex 3 StartRoot x EndRoot. On a coordinate plane, a cube root function goes through (negative 3, negative 1), has an inflection point at (negative 2, 0), and goes through (negative 1, 1). Which equation represents h(x)?
Answer:
The correct option is;
[tex]h(x) = \sqrt[3]{x + 2}[/tex]
Step-by-step explanation:
Given that h(x) is a translation of f(x) = ∛x
From the points on the graph, given that the function goes through (-1, 1) and (-3, -1) we have;
When x = -1, h(x) = 1
When x = -3, h(x) = -1
h''(x) = (-2, 0)
Which gives
d²(∛(x + a))/dx²= [tex]-\left ( \dfrac{2}{9} \cdot \left (x + a \right )^{\dfrac{-5}{3}}\right )[/tex], have coordinates (-2, 0)
When h(x) = 0, x = -2 which gives;
[tex]-\left ( \dfrac{2}{9} \cdot \left (-2 + a \right )^{\dfrac{-5}{3}}\right ) = 0[/tex]
Therefore, a = (0/(-2/9))^(-3/5) + 2
a = 2
The translation is h(x) = [tex]\sqrt[3]{x + 2}[/tex]
We check, that when, x = -1, y = 1 which gives;
h(x) = [tex]\sqrt[3]{-1 + 2} = \sqrt[3]{1} = 1[/tex] which satisfies the condition that h(x) passes through the point (-1, 1)
For the point (-3, -1), we have;
h(x) = [tex]\sqrt[3]{-3 + 2} = \sqrt[3]{-1} = -1[/tex]
Therefore, the equation, h(x) = [tex]\sqrt[3]{x + 2}[/tex] passes through the points (-1, 1) and (-3, -1) and has an inflection point at (-2, 0).
Answer: B
Step-by-step explanation:
Se tiene una pirámide regular cuadrangular cuyas caras laterales forman con la base un angulo que mide 53º y el area de la superficie lateral es 60 ¿cuanto mide la altura?
Answer:
La altura de la pirámide es de 8.14 unidades.
Step-by-step explanation:
Hay una pirámide cuadrangular regular cuyas caras laterales forman un ángulo que mide 53º con la base y el área de la superficie lateral es 60. ¿Qué altura tiene?
Dado que el área de superficie lateral = 60
Tenemos
Área del triángulo equilátero = (√3 / 4) × a²
(√3 / 4) × a² = 60
a² = 60 / (√3 / 4) = 80 · √3
a = √ (80 · √3) = 11.77 unidades
La altura inclinada = Altura de la superficie inclinada = a × sin (60) = 11.77 × sin (60)
La altura inclinada = 11.77 × sin (60) = 10.194 unidades
La altura de la pirámide = Altura inclinada × sin (ángulo de caras laterales con la base)
La altura de la pirámide = 10.194 × sin (53) = 8.14 unidades.
La altura de la pirámide = 8.14 unidades.
There are six equilateral triangles in regular____.
Answer:
There are six equilateral triangles in regular hexagons
Answer:
There are 6 equilateral triangles in a regular hexagon.
Step-by-step explanation:
A regular hexagon has 6 congruent sides and can be divided into 6 congruent equilateral triangles.
There are 6 equilateral triangles in a regular hexagon.
Grace, Chelsea, and Roan are simplifying the same polynomial expression. Which
student's work is correct and why?
Grace
Chelsea
3(2 - x) - 2(6x - 8)
= 6 - 3x – 12x + 16
3(2 - x) – 2(6x – 8)
= 6 - 3x – 12x - 16
Roan
3(2 - x) - 2(6x - 8)
= 6 - 3x + 12x - 16
= -3x - 12x + 16 + 6
= -3x – 12x – 16 + 6
= -3x + 12x – 16 + 6
= -15x + 22
= -15x – 10
= 9x - 10
Answer:
Hey there!
3(2 - x) - 2(6x - 8)
6-3x-12x+16
6-15x+16
-15x+22
Hope this helps :)
Answer:
Grace is correct. The other two made mistakes while distributing the negative sign. Chelsea failed to distribute the negative sign to the second term of the second expression. Roan failed to distribute the negative sign to both terms of the second expression.
find x3 -y3,if x-y=5 and xy=14
Answer:
335
Step-by-step explanation:
Factor the given binomial:
x - y = 5
xy = 14
x = y + 5
(y + 5)y = 14
y^2 + 5y - 14 = 0
(y + 7)(y - 2) = 0
y = -7 or y = 2
y = -7
xy = 14
-7x = 14
x = -2
y = 2
2x = 14
x = 7
Solutions:
x = -2, y = -7
x = 7, y = 2
For x = -2, y = 7
x^3 - y^3 =
= (-2)^3 - (-7)^3
= -8 - (-343)
= 335
For x = 7, y = 2
x^3 - y^3 =
= 7^3 - 2^3
= 343 - 8
= 335
If ∆ABC ≅ ∆DEF, which one of these is a pair of corresponding parts
Answer:
AB = DE
BC = EF
AC = DF
∠ABC = ∠ DEF
∠BAC = ∠EDF
∠BCA = ∠EFD
Step-by-step explanation:
As its congruent all the corresponding parts will be equal
Use zero product property to solve.
F(x)=3x(2x-6)
Answer:
x=0 x=3
Step-by-step explanation:
F(x)=3x(2x-6)
Set equal to zero
0 =3x(2x-6)
Using the zero product property
3x =0 2x-6 =0
x =0 2x = 6
x = 6/2
x = 3
Answer:
x = 0 or x = 3
Step-by-step explanation:
Set the output to 0
0 = 3x(2x-6)
Set factors equal to 0.
3x = 0
x = 0
2x - 6 = 0
2x = 6
x = 3
Financial Math
What’s the answer??
[No guessing]
In the given formula n is the number of years the loan is out for.
The answer would be C.
Answer:
[tex]\boxed{\sf C}[/tex]
Step-by-step explanation:
The formula for the payment on a loan is given:
[tex]\displaystyle P=PV \cdot \frac{i}{1-(1+i)^{-n}}[/tex]
n would represent the number of periods or years it will take to pay the loan back.
A group of hikers finished hiking at an elevation of -5 the group started hiking at an elevation of 8 What was the change in feet of the groups elevation
Answer:
13 feetStep-by-step explanation:
If a group of hikers finished hiking at an elevation of -5 the group started hiking at an elevation of 8, their initial feet will be -5 and their final feet will be 8.
Change in feet of the groups elevation = final feel - initial feet
Given initial feet = -5 feetFinal feet = 8 feet
Change in feet of the groups elevation = 8 -(-5)
Change in feet of the groups elevation = 8+5
Change in feet of the groups elevation = 13
The mapping diagram shows a function S(x).
Which mapping diagram shows the inverse of S(x)?
Explanation:
Notice how the input 5 leads to the output 3 when we look at the S(x) function. The inverse will undo this. So that must mean the answer is choice A where we have the input 3 lead to the output 5. In short, the inputs and outputs swap places. This means the domain and ranges swap.
A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a centimeter. the lead=11.35g/cm³
Answer:
3.14
Step-by-step explanation:
Please help...........
Answer:
315.1° (1 d.p.)
Step-by-step explanation:
Please see the attached picture for the full solution.
The length of arcXY is 48cm. What is the circumference of circle Z?
Answer:
C
Step-by-step explanation:
In any circle the following ratios are always equal.
[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{centralangle}{360}[/tex] , thus
[tex]\frac{48}{circum}[/tex] = [tex]\frac{60}{360}[/tex] = [tex]\frac{1}{6}[/tex] ( cross- multiply )
circumference = 6 × 48 = 288 cm → C
Two boxes have the same volume. One box has a base that is 5cm by 5cm. The other box has a base that is 10cm by 10 cm. How many times as tall is the box with the smaller base?
Answer:
x=4
Step-by-step explanation:
5^2X=10^2X
25X=10X
2X=100/25
The Box with a smaller base has a height that is 4 times taller than the Box having a larger base.
What is the volume of a cuboid?We know the volume of a cuboid is the product of its length, breadth, and height or v = l×b×h.
Given, we have two boxes let us denote them by B₁ and B₂ and their respective heights are h₁ and h₂.
To obtain how many times one box is relative to the other we have to equate their respective volumes.
Given, one box has a base that is 10cm by 10 cm and another box has a base that is 5cm by 5cm.
∴ 5×5×h₁ = 10×10×h₂.
25h₁ = 100h₂.
h₁ = 4h₂.
So, h₁ is 4 times taller than h₂.
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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Correct option: Third one
Step-by-step explanation:
A polynomial is an expression in the form:
[tex]ax^n + bx^{n-1}+...+mx^1+n[/tex]
Where n is a non-negative integer number, and a, b, ... are real coefficients.
The first option is not a polynomial, because there is a non-integer number (5/2) in the exponent of y.
The second option is not a polynomial, because there is a negative integer number in the exponent (the fraction [tex]\frac{1}{x^2}[/tex] is the same as [tex]x^{-2}[/tex], and [tex]\frac{1}{5x}[/tex] is the same as [tex]0.2x^{-1}[/tex]).
The third option is a polynomial, because all numbers in exponent are non-negative integers.
The fourth option is not a polynomial, because there is a variable x in the exponent, so we don't know if the exponent is a non-negative integer number.
A rope 33cm long has a mass of 561g. What is the mass of 13cm of this rope?
Answer:
221g
Step-by-step explanation:
561g divided by 33cm is how much 1 cm of rope would be so then you multiply that amount by 13
Carrie can inspect a case of watches in 5 hours.James can inspect the same case of watches in 3 hours.After working alone for 1 hour,Carrie stops for lunch.After taking a 40 minute lunch break,Carrie and James work together to inspect the remaining watches.How long do Carrie and James work together to complete the job?
Will mark brainlist if it correct and well explained
Answer:
It takes Carrie and James an hour and a half to finish the job.
Step-by-step explanation:
assuming they have to inspect ONE case of watches.
Carrie can inspect 1/5 case in one hour.
James can inspect 1/3 case in one hour.
Carrie worked alone for 1 hour, so she finished 1/5 of a case.
She leaves 4/5 case to finish.
She had lunch.
After that, Carrie and James worked together for x hours to finish the job.
When they work together, the finish 1/5+1/3 = 8/15 case per hour.
So time to finisher the remaining case
Time = 4/5 / (8/15)
= 4/5 * 15/8
= 3/2 hours
= an hour and a half.
The sum of two numbers is 29. If the
larger number is 2 less than three times
the smaller number, what is the smaller
number.
Answer: 7
Step-by-step explanation:
The smaller number is 7.75.
What is an Equation?An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
The system of equations are used to solve complex problems.
Let the smaller number is x.
The larger number is 2 less than three times the smaller number
Then the larger number is 3x -2
The sum of the two numbers is 29
The sum is the output of the mathematical operation, Addition.
The equation formed is :
3x -2 + x = 29
Grouping the variables and the constants
4x = 31
Dividing both side of the equation by 4
x = 7.75
The value of the smaller number is obtained.
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Which equation models this situation?
The sum of 24 and a number is 40.
2 of 12 QUESTIONS
24- x = 40
24+ 40 = x
40 + x = 24
24+ x = 40
SUBMIT
Add
Answer:
24+x=40
Hope this helped
Answer:
hes right look up there
Step-by-step explanation:
hes right :) only for a p e x
Please Help Asap!!! Will give brainiest if answered correctly with explanation.
Answer:
HL and SAS
which agrees with the third option listed among your options
Step-by-step explanation:
Notice that you have two triangles (see attached image) which have a common side (marked in blue), sides YW and YZ (marked in green) congruent, and the angle in between also congruent.
Therefore we have two postulates than can be applied to prove that the triangles YWX and YXZ are congruent:
HL postulate : "congruent hypotenuse and a corresponding congruent leg " that corresponds to hypotenuses YW and YZ, and congruent leg which is the common segment YX.
and:
SAS postulate: "two sides and the included angle" which corresponds to sides YW, YX, and angle WYX on one triangle, and sides YX, YZ, and angle XYZ in the other triangle
Simplify. Rewrite the expression in the form 4^n. 4^11/4^-8
Answer:
S6tep-by-step explanation:
4^(11+8) = 4^19 is the solution
The location of a dolphin in relation to the surface of the sea, h(x), over time, x, in seconds, for 5 seconds can be modeled by a cubic function. Each of the following functions is a different form of the cubic model for the situation given above. Which form would be the most helpful if attempting to determine the time it takes for the dolphin to re-enter the sea after leaping out of the water? h(x) = 2x2(x - 11) + 4(17x - 12) h(x) = 2x(x2 - 11x + 34) - 48 h(x) = 2(x - 1)(x - 4)(x - 6) h(x) = 2x3 - 22x2 + 68x - 48
Answer:
The most helpful function in an attempt to determine the time it takes for the dolphin to re-enter is h(x) = 2·(x - 1)·(x - 4)·(x - 6)
Step-by-step explanation:
For 2·x²·(x - 11) + 4·(17·x - 12)
h(5) = 2×5^2×(5 - 11) + 4×(17×5 - 12) = -8
For the function h(x) = 2·x·(x² - 11·x + 34) -48 we have;
h(5) = 2×5×(5^2 - 11×5 + 34) -48 = -8
For the function h(x) = 2·(x - 1)·(x - 4)·(x - 6) we have;
h(5) = 2×(5 - 1)×(5 - 4)×(5 - 6) = -8
For the function h(x) = 2·x³ - 22·x² + 68·x -48 we have;
h(5) = 2×5^3 - 22×5^2 + 68× 5 - 48 = -8
Given that the values of the function are all equal at x = 5, the function that will be most helpful in determining the time it takes for the dolphin to re-enter the sea after leaping out of the water is the function that is already factorized
Thereby where the value of the function h(x) at which the dolphin re-enters the the sea is h(x) = 0, we have the function h(x) = 2·(x - 1)·(x - 4)·(x - 6), readily gives the time values, x, as x = 1 second or 4 second or 6 second, therefore, the most helpful function is h(x) = 2·(x - 1)·(x - 4)·(x - 6).
what is the value of 3cubed
Answer:
27
Step-by-step explanation:
3 cubed=3✖️3✖️3=27
Answer:
3³ = 3 × 3 × 3 = 9 × 3 = 27
Hope this helps you
4= t/2.5,what is t?
Answer:
T=10
Step-by-step explanation:
Answer:
t=10
Step-by-step explanation:
you multiply each side by 2.5 so 4*2.5= 10
In 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B. If 70 houses were built in Town A during 210, how many were built in Town B
Answer:
The number of houses built in Town B is 56.
Step-by-step explanation:
We are given that in 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B.
Also, 70 houses were built in Town A during 210.
Let the number of houses built in Town B be 'x'.
So, according to the question;
Number of houses built in Town A = Number of houses built in Town B + 25% of the houses built in Town B
[tex]70 = x + (25\% \times x)[/tex]
[tex]70 = x(1+0.25)[/tex]
[tex]x=\frac{70}{1.25}[/tex]
x = 56
Hence, the number of houses built in Town B is 56.
Find the length of a side of a rhombus if the lengths of its diagonals
are:
6m and 8m
Answer:
the other side lengths are 6m and 8m
Step-by-step explanation:
i did the quiz and got it right
) 30 marbles are to be divided into three bags so that the second bag has three times as many marbles as the first bag and the third bag has twice as many as the first bag. If x is the number of marbles in the first bag, find the number of marbles in each bag.
Answer:
The number of marbles in the first bag= 5
The number of marbles in the second bag = 15
The number of marbles in the third bag = 10
Step-by-step explanation:
Given that
Total number of marbles= 30
Lets take, the number of marbles in the first bag= x
The number of marbles in the second bag = 3 x
The number of marbles in the third bag = 2 x
Therefore
The total number of marbles = x + 2 x + 3 x = 6 x
6 x = 30
[tex]x=\dfrac{30}{5}[/tex]
x= 6 marbles
We can say that
The number of marbles in the first bag= 5
The number of marbles in the second bag = 15
The number of marbles in the third bag = 10
? Question
Type the correct answer in each box. Round your answers to one decimal place.
Use the function g(x) = 4(0.6)¥ to complete the table and find the y-intercept.
Answer:
-10=661.5
-1=6.7
0=4.0
1=2.4
2=1.4
8=0.1
(0,4)
Step-by-step explanation:
The y intercept is (0,4)
What is a Function?A function is a law that relates a dependent and an independent variable.
The function is g(x) = 4 (0.6)ˣ
The table shows the value of x
The value of g(x) at different value of x is
At x = -10
g(x) = 661.5
At x = -1
g(x) = 6.7
At x = 0
g(x) = 4
At x = 1
g(x) = 2.4
At x = 2
g(x) = 1.4
At x = 8
g(x) = 0.1
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Find the greatest number of children to whom 125 pens 175 pencil can be divided equally.
Answer:
25 children
So , each child will get 25 pens and 7 pencils
You have to find the highest common factor of 125 and 175 which is 25 and then you have to multiply it by those two numbers to find how may pens and pencils will be given to 1 child
Hope this helps and pls mark as brianliest :)
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The range consists of all real numbers where y ≠ 0
Step-by-step explanation:
reciprocal parent function is y = 1/x
If y = 0, then 1 would have to be divided by a number to equal 0. This would require x to equal a number that can divide 1 to equal 0. Because this is not possible, y cannot be 0.