Answer:
6
Step-by-step explanation:
There are inverses for sine, cosine, tangent, secant, cosecant, and cotangent.
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
(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 )
A triangle can be formed with side lengths 3 in, 5 in, and 9 in.
Yes, it would be a scalene triangle. This can happen.
The Triangle sides have to be greater than c.
a+b > c
With the given inches, substitute it into the equations:
a = 3 in
b = 5 in
c = 9 in
3 + 5 > 9
Solve.
9 > 9
This is False since because a + b is not > c. a + b is equal to c.
Given that ∠ABC ≅ ∠DBE, which statement must be true?
∠ABC ≅ ∠ABD
∠ABD ≅ ∠CBE
∠CBD ≅ ∠DBE
∠CBD ≅ ∠ABC
Answer:
∠ABD ≅ ∠CBE
Step-by-step explanation:
So we know that ∠ABC ≅ ∠DBE. Those angles equal the same thing. Let's represent that with x.
So does ABD = CBE?
Well we can model that with our xs.
ABD = ABC + CBD
so ABD = x + CBD
CBE = DBE + CBD
so CBE = x + CBD
Look at what we have!
x + CBD = x + CBD.
You can tell that ∠ABD ≅ ∠CBE because those given angles are equal to each other.
Or for an easier (but lazier) method, you can just look at the diagram, which is actually drawn to a reasonable scale. You can tell right off the bat that none of the other options work.
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%
doughnuts are sold in bags and cartons.
A bag holds 4 doughnuts and a carton holds 10 doughnuts.
he buys a total of T doughnuts.
Write down a formula for T in terms of B and c
Answer:
T=(b+4)+(c+10)
Sorry but I really don’t know but I tried
If BE is a diameter of the circle, find
MAB
A. 400
B 50°
C. 75
D 80
Answer:
B 50˚
Step-by-step explanation:
What you want to do is to find all other measures and subtract them from 360, or find all measures to the left of BE, and subtract from 180.
You can find mCE easily: since the measure of an arc is twice the measure of its corresponding angle (as long as that angle is not a central angle), mCE = 2(25), or 50˚.
mDE equals 100˚. This is because it and arc BD are the only arcs right of BE, the diameter, meaning they, together, must equal half the circle. Since half a circle = 180˚,
180˚=80˚+x
x=180-80
x=100
Now, you can solve:
Method 1:
360˚=80˚+80˚+50˚+100˚+x
360-80-80-50-100=x
x=50˚
Method 2:
180˚=80˚+50˚+x
x=180-80-50
x=50˚
This corresponds to answer choice B.
Answer:
B.
Step-by-step explanation:
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).
Which graph has a correlation coefficient, r, closest to 0.75?
Answer:
option A
Step-by-step explanation:
to find the correlation coefficient by hand, first put your data pairs into a table....
Graph C indicates the graph which has a correlation coefficient, r, closest to 0.75.
What is Correlation Coefficient?Correlation coefficient of a data is the measure which indicates the strength of the linear relationship among two variables in a scatterplot.
Given are four graphs.
The range of values for correlation coefficient, r is from -1 to 1.
The value closest to -1 is considered weak linear relationship between the variables and value closest to 1 considered strong linear relationship between the variables.
Here the value of r is closest to 0.75.
Since it is closest to 1, the linear relationship is stronger. This means that the data points are more centered to form a line or they are close to each other.
Two such graphs are B and C.
Since r is 0.75, it is positive, So the relationship is positive.
So graph C is the correct one.
Hence graph C is the required graph.
Learn more about Correlation Coefficients here :
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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:
an angle inscribed in a semi circle is
Answer:
Right angle therom
Step-by-step explanation:
if ten coins are spun together, the probability of four or more heads is 0.83. the probability of eight or more is 0.05. find the probability of:
I) less than four. II)fewer than 8
Answer:
a. 0.17
b. 0.95
Step-by-step explanation:
The key to answering both questions is that we should understand that the probability of an event happening = 1 - the probability of the event not happening
Firstly, we want to calculate the probability of less than four
Probability of less than four = 1 - probability of four or more heads
that is 1 - 0.83 = 0.17
Probability of less than 8 = 1 - probability of 8 or more = 1-0.05 = 0.95
Write the equation of a line through points (5, 5) and (1, 0) in point-slope form.
A. y=5/4 (x-1)
B. y-1= 5/4 (x-1)
C. y-5= 1/4 (x-1)
D. y= 1/4 (x-5)
Answer:
A. y = 5/4(x - 1)
Step-by-step explanation:
The equation of a line can be written in the form:
[tex]\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the points given,
y1 = 0
y2 = 5
x1 = 1
x2 = 5
Therefore:
[tex]\frac{y - 0}{x - 1}= \frac{5 - 0}{5 - 1} \\\\\frac{y}{x - 1} = \frac{5}{4}[/tex]
Cross multiply:
4y = 5(x - 1)
y = 5/4(x - 1)
A. y = 5/4(x - 1)
Step-by-step explanation:
The equation of a line can be written in the form:
From the points given,
y1 = 0
y2 = 5
x1 = 1
x2 = 5
Therefore:
Cross multiply:
4y = 5(x - 1)
y = 5/4(x - 1)
Factor the trinomial by grouping.
- 13x + 6 + 6x^2
Answer:
(2x-3)(3x-2)
Step-by-step explanation:
[tex]-13x+6+6x^2= \\\\6x^2-13x+6= \\\\6x^2-4x-9x+6= \\\\2x(3x-2)-3(3x-2)= \\\\(2x-3)(3x-2)[/tex]
Hope this helps!
HELP ASAP!!
What is the surface area of a CUBE where the length of each edge is 4 feet?
A) 12 feet
B) 24 feet
C) 64 feet
D) 96 feet
Answer:
96
Step-by-step explanation:
Each face of the cube has an area of 4 * 4 = 16 and since there are 6 faces on a cube the answer is 16 * 6 = 96.
find the coordinates of the vertices of the triangle after a reflection across the line y= 3 and then across the line x = -1
Answer: A
Step-by-step explanation:
Reflection across y = 3
The simplest way to calculate the new coordinates is to draw y = 3, count how many units away the point is from y = 3, then count the same number of units from y = 3 in the OPPOSITE direction to find the reflection. (see attachment - blue color)
U = (-5, 4) is 1 unit above y = 3
U' = (-5, 2) is 1 unit below y = 3
T = (0, 5) is is 2 units above y = 3
T' = (0, 1) is 2 units below y = 3
S = (-4, 2) is 1 unit below y = 3
S' = (-4, 4) is 1 unit above y = 3
Reflection across x = -1
The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment - red color)
U' = (-5, 2) is 4 units to the left of x = -1
U'' = (3, 2) is 4 units to the right of x = -1
T' = (0, 1) is 1 unit to the right of x = -1
T'' = (-2, 1) is 1 unit to the left of x = -1
S' = (-4, 4) is 3 units to the left of x = -1
S'' = (2, 4) is 3 units to the right of x = -1
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
Help me
Verified and certified by me
-ayyyyyyy
Answer:
c. 412.5 cm^2
Step-by-step explanation:
first triangle: 5 x 15 = 75
75/2 = 37.5
rectangle: 15 x 19 = 285
triangle 2: 15 x 12 = 180
180/2 = 90
37.5 + 285 + 90 = 412.5
What is a rigid motion?
Answer:
Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease.
Step-by-step explanation:
Let f(x) = .............
Answer:
4
Step-by-step explanation:
g(3) = -2(3)^2 -4 = 2(9) -4 = 18-4 = 14
|f(2)| = | 2^2 -3| = | 4-3| = 1
(g(3) +2) = (14+2) = 16
4* |f(2)| = 4*1 = 4
16/4 = 4
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
--------------------------------------
Solve the open sentence.
-35n+6 57
ons-9 and ns6
n> 9 and ns 7
On-9 and ns1
ons 3 and ns 7
Answer:
-9 ≤n ≤1
Step-by-step explanation:
-3 ≤ n+6 ≤ 7
Subtract 6 from all sides
-3 -6≤ n+6-6 ≤ 7-6
-9 ≤n ≤1
what is the area of the circle
Answer:
A = 51.84π
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex]
r = 7.2
A = 51.84π
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
Plzzzz helppp urgent❤️
Answer:
a
Step-by-step explanation:
Answer: 34 inches
Step-by-step explanation:
1 inch is equal to 2.54 centimeters
Divide 86.75 by 2.54 to get how many inches
86.75 / 2.54 = 34.15 inches
34.15 rounds down to 34
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]
15 POINTS!! PLEASE HELP
The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2)?
y = one half x + three halves
y = negative one halfx + three halves
y = one half x − three halves
y = negative one halfx − three halves
Answer:
y = 1/2x - 1
Step-by-step explanation:
The easiest was you do this is to first rearrange the equation into slope-intercept form (y = mx + b). After rearranging, you can find the slope (m).
2x + y = -5
y = -2x - 5
The slope is -2. Since the line we are trying to find is perpendicular, find the inverse and multiply it by -1.
-2 => 1/2
Now use the point-intercept form to find the new equation. Use the slope (1/2) and the given point (-1, -2).
y - y₁ = m(x - x₁)
y - (-2) = 1/2(x - (-2))
y + 2 = 1/2(x + 2)
y + 2 = 1/2x + 1
y = 1/2x - 1
The equation of the line perpendicular to line WX is y = 1/2x - 1.
The equation is y = (1/2)x -(3/2) ; y = one half x − three halves.
The correct option is D.
What is the equation of a Straight Line?
An equation of the straight line is given by y = mx+c,
Here m is the slope and c is the intercept on y-axis.
The equation of the line WX is 2x+y = -5
y = -2x -5
The product of the slopes of the line and the line perpendicular to this line will be -1
Therefore the slope of the line perpendicular to the line WX is -2 * m = -1,
m = 1/2
y = (1/2)x +c
The line passes through the points (-1, -2)
-2 = (1/2) (-1) +c
c = -2 +(1/2)
c = (-4 +1) /2
c = -3/2
Therefore, the equation is y = (1/2)x -(3/2) ; y = one half x − three halves.
The correct option is D.
To know more about Equation of Straight Line
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Write an expression for the sum of 12 + 10n
Answer:
22n
Step-by-step explanation:
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 :')
