Answer:
[tex]-\infty \:<x<\infty \:\\or\\\left(-\infty \:,\:\infty \:\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{Domain\:of\:}\:4\left(x+2\right)\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
What is the area of triangle XYZ? Round to the nearest tenth of a square unit. Trigonometric area formula: Area 14.7 square units 14.9 square units 15.0 square units 15.3 square units
Complete Question:
The perimeter of triangle XYZ is 24 units. Triangle X Y Z is shown. The length of X Y is 3 and the length of Y Z is 11. Angle Y X Z is 102 degrees What is the area of triangle XYZ? Round to the nearest tenth of a square unit. Trigonometric area formula: Area 14.7 square units 14.9 square units 15.0 square units 15.3 square units
Answer:
14.7 square units
Step-by-step Explanation:
Given the triangle shown in the figure attached below, having the following measures:
<YXZ = 102°
Length of XY = z = 3
Length of YZ = x = 11
Length of XZ = y = ?
Perimeter of ∆XYZ = x+y+z = 24 units
Length XZ = y, would be 11+y+3 = 24
14+y = 24
y = 24 - 14
Therefore, y = 10
==>Required:
Area of ∆XYZ to the nearest tenth of a square unit
==>Solution:
Using the Trigonometric area formula, area of ∆XYZ = ½(yz)sin X
Plug in values for x, y, and sin X:
Area of ∆ XYZ = ½×10×3×sin 102
= ½×30×0.9782
= 15 × 0.9782
= 14.673
Area of triangle XYZ approximated to the nearest tenth = 14.7 square units
The profit p ( in hundreds of dollars ) that a company makes depends on the expenditure x ( in hundreds of dollars ) that the company spends advertising according to the model p(x) = -0.5x^2 +20x+230. What expenditure for advertising will yield maximum profit?
Answer:
Expenditure x (in hundreds of dollars) = $2,000
Step-by-step explanation:
Given:
Profit p (in hundreds of dollars)
Expenditure x (in hundreds of dollars)
p(x) = -0.5x² + 20x + 23
Find:
Expenditure for advertising .
Computation:
x = -(Cofficient of x) / 2(Cofficient of x²)
x = -(20) / 2(-0.5)
x = 20
Expenditure x (in hundreds of dollars) = 20 × $100
Expenditure x (in hundreds of dollars) = $2,000
(08.02)Using the following data, calculate the mean absolute deviation:
10, 7, 1, 6, 7, 9, 8, 10, 2, 5
What is the mean absolute deviation for these data?
Answer:
7
Step-by-step explanation:
10+7+1+6+7+9+8+10+2+5
-----------------------------------
10
65 ÷ 10
= 6.5, round up, = 7
Answer:
I took the quiz and the answer is 7
Step-by-step explanation:
On a compass, what bearing is South East?
what is the solution to -5x-7=3
Answer:
x = -2
Step-by-step explanation:
-5x - 7 = 3
-5x = 10
x = 10/-5
x = -2
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Answer:
7-x
Step-by-step explanation:
49 - x^2 is a perfect square so
it factors to :(7+x)(7-x)
since there is a negative in 49 - x^2, it would make sense that the answer would be a negative to get that negative answer in the first place (negative times a positive equals a negative)
Forgive me for my lame explanation :')
Which is a true statement about the diagram?
The right answer is of option C.
hope it helps..
good luck on your assignment
Answer:
c
Step-by-step explanation:
How do i sign in thisa is very important so can Carys calculates the total amount EEE, in dollars, that she earns for working hhh hours using the equation E=10hE=10hE, equals, 10, h. How many dollars does Carys earn per hour?Kjjkl jk
Answer:
Carys earns $10 per hour and earn $1 in [tex]\frac{1}{10}[/tex] hour .
Step-by-step explanation:
Given that :
Carys calculates the total amount E, in dollars, that she earns for working h hours.
She use the equation to calculate the total amount
[tex]E=10h.For h=1, E=10(1)[/tex]
[tex]\Rightarrow\ E=\$10[/tex]
hence, Carys earns $10 in one hour.
Therefore, Carys earns $10 per hour.
Let she earn $1 then put E=1 in the equation, we get
[tex]1=10h\\\\\Rightarrow\ h=\frac{1}{10}\ hour[/tex]
Hence, Carys earn $1 in [tex]\frac{1}{10} \texttt {hour .}[/tex]
What is the volume of 1.5 Tonne of sand of density 2600 kg/m3?
Answer: 0.58 m^3
Step-by-step explanation:
V= 2600 / 1500
= 0.58 m^3
Which statement is true about the right traingle
Answer:
Its 90 degrees
idk if this helps but i hope it does :)
Step-by-step explanation:
A factory makes car batteries. The probability that a battery is defective is 1/11. If 500 batteries are tested, about how many are expected to be defective?
Answer:
45.45 batteries
Step-by-step explanation:
The probability of any random battery being defective is 1 in 11, the number of expected defects in a population of 500 batteries is given by:
[tex]E= \frac{1}{11}*500\\E=45.45\ batteries[/tex]
45.45 batteries are expected to be defective.
Answer:
45
Step-by-step explanation:
3a^2 * 2a^3
multiply the monomial
Answer:
6a^5
Step-by-step explanation:
3a^2*2a^3
3×2+a^2×a^3
6a^5
Answer:
The answer is 6a⁵.
Step-by-step explanation:
You have to use Indices Law,
[tex] {a}^{m} \times {a}^{n} \: ⇒ \: {a}^{m + n} [/tex]
So for this question :
[tex]3 {a}^{2} \times 2 {a}^{3} [/tex]
[tex] = (3 \times 2) \times ( {a}^{2 + 3}) [/tex]
[tex] = 6 \times {a}^{5} [/tex]
[tex] = 6 {a}^{5} [/tex]
This recipe makes 20 flapjacks. How much of each ingredient is needed to make 30 flapjacks by following this recipe? Recipe: Makes 20 flapjacks 140 g margarine 120 g sugar 100 ml syrup 240 g oats 50 g raisins
Answer: 210 grams of margarine, 180 grams of sugar, 150 millilitres of syrup, 360 grams of oats, 75 grams of raisins
Step-by-step explanation: 30 flapjacks is 1.5 more than 20 flapjacks.
140 * 1.5 = 210 grams
120 * 1.5 = 180 grams
100 * 1.5 = 150 millilitres
240 * 1.5 = 360 grams
50 * 1.5 = 75 grams
Help!
5 easy math questions (Order of Operations)
( 10+14 ) divided by ( 13-5 )
8 x 3 x (10+6)
(9 + 36 - 5) divided by 8
( 8-4 ) + 10 divided by 5
( 8+27 - 5) divided by 3
These are super easy but I cannot deal rn lol. Please do the solving steps as well. Merci!
Answer:
3
384
5
2.8
10
Step-by-step explanation:
--------------------------------------
10 + 14 = 24 | 13 - 5 = 8
24 divided by 8 = 3
--------------------------------------
8 x 3 = 24 | 10 + 6 = 16
24 x 16 = 384
--------------------------------------
9 + 36 = 45 | 45 - 5 = 40
40 divided by 8 = 5
--------------------------------------
8 - 4 = 4 | 4 + 10 = 14
14 divided by 5 = 2.8
--------------------------------------
8 + 27 = 35 | 35 - 5 = 30
30 divided by 3 = 10
--------------------------------------
Identify the transformed coordinates of the line segment A (4, 7) and B (9, 7)
when it is reflected across x-axis.
Answer: A (4, -7) B (9, -7)
Step-by-step explanation:
When it’s reflected over the x-axis, the y coordinates become negative but the x coordinates don’t change
x coordinates: 4, 9
y coordinates: 7, 7
Reflected over x-axis: (4, -7), (9, -7)
Lianne drew a sphere with a radius of 7 in. She calculated its volume and wrote it below.
Answer:
1372
Step-by-step explanation:
4x7x7x7=1372:v=4/3 pi r^3
Therefore, 1372 is the value that should be multiplied by Pi in the numerator to correctly show the volume of the sphere.
please mark me brainliest :)
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
what is the center of a circle whose equation is x^2+y^2-12x-2y+12=0
Answer:
(6, 1)
Step-by-step explanation:
Answer:
centre = (6, 1 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 2y + 12 = 0
Collect the x and y terms together and subtract 12 from both sides
x² - 12x + y² - 2y = - 12
To obtain the equation in standard form use completing the square
add ( half the coefficient of the x/ y term )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 1)y + 1 = - 12 + 36 + 1
(x - 6)² + (y - 1)² = 25 ← in standard form
with centre = (6, 1 ) and radius = [tex]\sqrt{25}[/tex] = 5
(05.09A LC)
A pair of parallel lines is cut by a transversal, as shown below:
A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is labeled as x. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as y.
Which of the following best represents the relationship between angles x and y?
A) x = y
B) x = 180°-y
C) y = 180°-6
D) x = 2y
Answer:
A
Step-by-step explanation:
Because these angles are alternate interior angles and because alternate interior angles of parallel lines are equal, x = y.
one x-intercept for a parabola is at the point (1,0). use the factor method to find the other x-intercept for the parabola defined by y=2x^2+2x-4
Answer:
(- 2, 0 )
Step-by-step explanation:
Given
y = 2x² + 2x - 4
To find the x- intercepts let y = 0, that is
2x² + 2x - 4 = 0 ( divide through by 2 )
x² + x - 2 = 0 ← in standard form
(x + 2)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
x- intercepts are x = - 2, x = 1, that is
(1, 0 ) and (- 2, 0 )
The other x- intercept is (- 2, 0 )
Please help! Correct answer only, please!
Given matrix A and B both have dimensions 2 x 2 and are the inverse of one another what should be the following product?
A · B
A.
B.
C.
D.
Answer:
B)
Step-by-step explanation:
If two square matrix, with same dimensions, are inverse of one another, their product will always be the identity matrix with the same dimensions.
The matrix A and B are 2x2, so the result of the product A * B is a 2x2 identity matrix, that is represented as follows:
I = [1 0 ; 0 1]
(First line: 1 0, second line: 0 1)
So the correct option is B)
Urgent please help. Amanda surveyed 20 juniors and seniors at delamar high school to find the number of hours per week they spend working at part-time jobs. Her results are shown below.
Look at picture
Answer:
The correct statement is (C).
Step-by-step explanation:
The data for the number of hours per week they spend working at part-time jobs by 20 juniors and seniors at Delmar high school is:
Juniors: 20, 10, 20, 10, 15, 0, 0, 10, 20, 15
Seniors: 20, 20, 10, 10, 0, 0, 0, 10, 0, 10
Compute the mean of both the data:
[tex]\mu_{J}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{iJ}}[/tex]
[tex]=\frac{1}{10}\times [20+10+20+10+15+0+0+10+20+15]\\\\=\frac{120}{10}\\\\=12[/tex]
[tex]\mu_{S}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{iS}}[/tex]
[tex]=\frac{1}{10}\times [20+ 20+10+10+0+0+0+10+0+10]\\\\=\frac{80}{10}\\\\=8[/tex]
Compute the range of both the data:
[tex]Range_{J}=Max._{J}-Min._{J}[/tex]
[tex]=20-0\\=20[/tex]
[tex]Range_{S}=Max._{S}-Min._{S}[/tex]
[tex]=20-0\\=20[/tex]
It can be seen that the range of both the data is same, i.e. 20.
Thus, the correct statement is (C).
Volume = 21 pi Find the value of the variable in the figure. Leave answers in the simplest form. a. 1 c. 5 b. 3 d. 7
Answer:
3
Step-by-step explanation:
(volume) 21 * pi = 65.9734457254
height =7
Cone = (1/3)πr²h, where r is the radius and h is the height.
V = Ah/3
Consider The Function Represented By The Table.
What Is f(0)?
A)4
B)5
C)6
D)7
Answer:
The answer is "Option C".
Step-by-step explanation:
In the given question attachment of the table is missing which can be defined as follows:
[tex]\left\begin{array}{cc}\bold{x} &\bold{f(x)}\\0 & 6 \\2 & 7\\4 & 0\\7 & 5 \end{array}\right[/tex]
In given table a method f(x) values corresponding to different values of x.
We needed to try f(0) value that is in this method, we have to calculate the f(x) value if x=0
As we've seen from the table the f(x) value at x=0 is 6
That's why the correct choice is option C that is 6.
Answer:
The answer would be C
Step-by-step explanation:
I just took the test !!
Write an expression for the sum of 12 + 10n
Answer:
22n
Step-by-step explanation:
The radius of a circle is 12 in. What is the circle's diameter?
Answer:
24 in
Step-by-step explanation:
The diameter of a circle is twice its radius which is 12 * 2 = 24.
Answer:
The diameter is 24 inches
Step-by-step explanation:
The radius of a circle is 1/2 of the circles diameter
r = d/2
d = 2r
d = 2*12
d = 24
The diameter is 24 inches
A number is equal to twice a smaller number plus 3. Yhe same number is equal to twice the sum of smaller number and 1. How many soluyions are possible for this situation
Answer:
There is no solution to the problem
Step-by-step explanation:
In order to find the solutions to the problem you can write the situation in an algebraic form.
You have that a number is equal to twice a smaller number plus 3. This can be written as follow:
[tex]x=2y+3[/tex] (1)
where x is the number and y is the smaller number
Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:
[tex]x=2(y+1)[/tex] (2)
To find the solution you equal the equation (1) with (2), and you solve for y:
[tex]2y+3=2y+1[/tex]
[tex]3=1[/tex]
You obtain an inconsistency, hence, the situation of the problem does not have solution
What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings? Round to the nearest whole percent. 65% 70% 75% 80%
Answer:
the experimental probability is 70%
Step-by-step explanation:
PLEASE HELP, TIMEDThe table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they have.
What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings?
To the nearest whole percent, the experimental probability is
a. 65%.
b. 70%
c. 75%
d. 80%
We are given to find
the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings
we know that
probability = ( number of favourable outcomes)/ ( total possible outcomes)
a 10th-grade student chosen at random has at least one, but no more than two, siblings
so, there can be one or two siblings
so, total number of such students =18+10=28
Number of favourable outcomes =28
total number of students =4+18+10+8=40
so, total favourable outcomes =40
now, we can find probability
[tex]p=\frac{28}{40}\\\\p=\frac{28}{40}\times 100\\\\p=70[/tex]
So,
Therefore, the experimental probability is 70%
Answer:
answer is B
or 70%
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9. What is the original number? ( please hurry i need to finish my assesment )
A.) - 4
B.) - 30
C.) 4
D.) 30
Answer: -4
Step-by-step explanation:reverse the steps
3(x-7)= -9
3(x-7)/3= -9/3
x-7= -3
x= -3+7
x= -4
what is the probability that the next person you meet was not born in February? No leap years.
Answer:
A
Step-by-step explanation:
Since there are 28 days in a regular February and 365 days in a total year, the probability that a random person is born in February is 28/365. This means that the probability that they were NOT born in February is 337/365, or answer choice A. Hope this helps!
Answer:
a.
Step-by-step explanation:
A non leap year has 365 days. February of a non leap year has 28 days.
365 - 28 = 337
There are 337 days in a non leap year that are not in February.
p(not February) = 337/365