Answer:
I think it's D
Answer:
its D
Step-by-step explanation:
Evaluate 5 x3 - 2 + 7 when x = -2.
Answer:
57
Step-by-step explanation:
5|x^³-2|+7
let x=-2
5|(-2)^3-2|+7
work inside the absolute value first
5|-8-2|+7
5|-10|+7
Take the absolute value, which make it positive
5 *10+7
multiply
50+7
=57
nakita ko lng po yan but hope that helpsツ
if cos A= 9\13 find csc A
Answer:
13[tex]\sqrt{22}[/tex] / 44
Step-by-step explanation:
cos A = 9/13
here adjacent = 9 and hypotenuse = 13 opposite = ?
using pythagoras theorem to find opposite
a^2 + b^2 = c^2
9^2 + b^2 = 13^2
81 + b^2 = 169
b^2 = 169 - 81
b^2 = 88
b = [tex]\sqrt{88}[/tex]
b = [tex]2\sqrt{22}[/tex]
therefore opposite = [tex]2\sqrt{22}[/tex]
cosec A = hypotenuse/opposite
= 13/[tex]2\sqrt{22}[/tex]
rationalizing the denominator
=13/ [tex]2\sqrt{22}[/tex] * [tex]2\sqrt{22}[/tex] / [tex]2\sqrt{22}[/tex]
=13 *[tex]2\sqrt{22}[/tex] /( [tex]2\sqrt{22}[/tex] )^2
=26 [tex]\sqrt{22}[/tex] / 4*22
=26 [tex]\sqrt{22}[/tex] / 88
=13[tex]\sqrt{22}[/tex] / 44
Answer:
[tex]cosec A = \frac{13}{\sqrt{88}}[/tex]
OR
[tex]cosec A = \frac{13 \sqrt{22}}{44}[/tex]
Step-by-step explanation:
Formulas used:
[tex]cos^2 A = 1 - sin^2 A\\\\cosec A = \frac{1}{sin A}[/tex]
Given :
[tex]cos A = \frac{9}{13}[/tex]
Find cosec A
[tex]sin ^2 A = 1 - cos^2 A[/tex]
[tex]= 1 - (\frac{9}{13})^2\\\\= 1 - \frac{81}{169}\\\\=\frac{169 - 81}{169}\\\\=\frac{88}{169}[/tex]
[tex]sin A = \sqrt{\frac{88}{169}} = \frac{\sqrt{88}}{13}[/tex]
Therefore,
[tex]cosec A = \frac{1}{sin A} = \frac{1}{ \frac{\sqrt{88}}{13}} = \frac{13}{ \sqrt{88}}[/tex]
OR In a simplified form :
[tex]cosec A = \frac{13}{\sqrt{88}} \times \frac{\sqrt{88}}{\sqrt{88}} = \frac {13 \times \sqrt{4 \times 22}}{88} = \frac{13 \times 2 \sqrt{22}} {88} = \frac{13 \sqrt{22}}{44}[/tex]
i need the answer plz
Answer:
see explanation
Step-by-step explanation:
If (x - 1) is a factor then f(1) = 0
Given
f(x) = x³ - 13x² + 32x - 20 , then
f(1) = 1³ - 13(1)² + 32(1) - 20
= 1 - 13 + 32 - 20
= 0
Since f(1) = 0 then (x - 1) is a factor
Using Synthetic division
1 | 1 - 13 32 - 20
↓ 1 - 12 20
-----------------------------
1 - 12 20 0 ← remainder
quotient = x² - 12x + 20 = (x - 2)(x - 10)
Then
x³ - 13x² + 32x - 20 = (x - 1)(x - 2)(x - 10) ← in factored form
Write 5/8 as a sum of fractions two different ways.
Answer:
2/8 + 3/8
1/8 + 4/8
Step-by-step explanation:
I hope this is what you mean!
If this helps you, please mark brainliest!
The requried, 5/8 can be expressed in two different ways of the sum as 1 / 8 + 4 / 8 and 2/8 + 3/8.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
As mentioned in the quesiton, to determine 5/8 as a sum of fractions in two different ways.
5 / 8 = a / 8 + b / 8
5 = a + b
So the above-modeled equation, gives the required fraction, by assuming a value that satisfies the equation,
For a = 1, 2, 3, 4 , b = 4, 3, 2, 1
So different combination is given as, 1 / 8 + 4 / 8 and 2/8 + 3/8.
Thus, the requried, 5/8 can be expressed in two different ways of the sum as 1 / 8 + 4 / 8 and 2/8 + 3/8.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
Math help please show work thanks
Answer:
600.4 cm^2
Step-by-step explanation:
first we should find the base of samller triangle
hypotenuse = 35 cm
one side = 30 cm whereas other has be be find
using pythagoras theorem
a^2 + b^2 = c^2
30^2 + b^2 = 35^2
900 + b^2 = 1225
b^2 = 1225 - 900
b^2 = 325
b = [tex]\sqrt{325}[/tex]
b = [tex]5\sqrt{13}[/tex]
area of big triangle
base = 22 + [tex]5\sqrt{13}[/tex]
area of a triangle = base * height / 2
= 30 (22 + [tex]5\sqrt{13}[/tex] ) /2
=30*22 + 30*[tex]5\sqrt{13}[/tex] / 2
=660 + 540.83 / 2
=1200.83 / 2
=600.415
=600.4 cm^2
9514 1404 393
Answer:
330 cm²
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
where b is the base length and h is the height measured perpendicular to the base.
Here, the base length is 22 cm, and the height is 30 cm. The area is ...
A = 1/2(22 cm)(30 cm) = 330 cm²
__
Additional comment
As is often the case with "overspecified" geometrical figures, the given dimensions are inconsistent. If the side lengths are taken as true, the height is closer to 33.1 cm, and the area is about 364.1 cm².
We assume the intended solution method is the one used above, as all it requires is to make use of a simple formula, and the calculation can be done mentally.
Help please giving brainly and points! :)
Answer:
(8,5):
8 is x-axis
5 is y-axis
A can of soup is 8 centimeters in diameter and 10 centimeters high. What is the volume of the can in terms of ?
Answer:
volume= 502.4cm
Step-by-step explanation:
see attachment for detailed solution
Answer:
Step-by-step explanation:
Formulae for Volume = Pi x r2 x h
Pi = 3.14 or 314/100 because the radius is not a product of 7
Radius = 4 cm
Height = 10 cm
314/100 x 4 x 4 x 10 = 512.4 cm2
= 512.4 cm2
I need help solving both of these 2 I’ve tried asking but nobody knows
Answer:
Step-by-step explanation:
x/7 - 13 ≥ -11
x/7 ≥ 2
x ≥ 14
m/-6 + 16 ≥ 19
m/-6 ≥ 3
m/6 ≤ -3
m ≤ -18
15 pages in 2 days ___ in 1 day
Answer:
7.5 pages.
Step-by-step explanation:
You divide 15 by 2 to work out 1 day.
Answer:
7.5 pages in 1 day
Step-by-step explanation:
In order to find the answer, you would need to do is divide 15 with two since every two days 15 pages are completed, and you would therefore get your answer which is 7.5. If you want to check your answer then simply multiply 7.5 with 2.
Question is in photo.
Thanks
Answer:
what do you mean for this question. What do you need help on?
Use the diagram right above
AB=?
m
Solve for x (picture attached) Thank you!
Answer:
x= 52
Step-by-step explanation: you have a 90 degree angle the other side would be 90 also. you take 90 and subtract 38 to get the missing value?
Question 7
1. Calculate and write your answer as a mixed number
1 4/5 + 2 2/3 - 16/15
Answer:
3 7/15
Step-by-step explanation:
1 4/5 + 2 2/3 - 16/15
9/5 + 8/3 - 16/15
27/15 + 40/15 - 16/15
52/15 = 3 7/15
Answer:
3 2/5
Step-by-step explanation:
STEP 1: Convert all fractions into improper fractions
9/5 + 8/3 - 16/15
Step 2: pass denominators
(9x3 + 8x5 - 16) / 15
=51/15
Step it into proper mixed number
3 2/5
31/24 menos 5/8 cuanto es?
Answer:
31/24 menos 5/8 cuanto es 2/3
Step-by-step explanation:
=31/24- 5/8
=31-15/24
= 16/24
=2/3
Hence the final answer is 2/3
. Solve for the missing side in the right triangle below.
x = √29
Step-by-step explanation:
By the Pythagorean theorem,
A² + B² = C²
14² + x² = 15²
x² = 15² - 14²
x² = 29
x = √29
Step-by-step explanation:
A^2+B^2=C^2
14^2+x^2=15^2
196 + X^2=225
X^2=225-196
x^2=29
X=√29
The area of a wall that needs to be papered is 84sqft. The wallpaper that needs to be papered is 18in wide and 33ft long. Rolls of solid color wallpaper will be used, so patterns do not have to match up.
Answer:
The answer is below
Step-by-step explanation:
The area of the wall is 84 ft².
The width of the wallpaper is 18 in.
1 ft. = 12 in
Hence; 18 in = 18 in * 1 ft. per 12 in = 1.5 ft
The length of the wallpaper is 33 ft.
Therefore, the area of the wallpaper = length * width = 1.5 ft. * 33 ft. = 49.5 ft². This means that each roll of wallpaper has an area of 49.5 ft²
Therefore, the minimum amount of rolls of wallpaper needed = area of wall / area of wallpaper
Amount of wallpaper = 84 ft² / 49.5 ft² = 1.7 rolls
What is the slope of the line formed by (7,1) and (-3,3)?
Answer:
JMK
Step-by-step explanation:
Answer:
[tex]-\frac{1}{5}[/tex] is the slope of the line.
Step-by-step explanation:
(7 , 1) = (x1 , y1)
(-3 , 3) = (x2 , y2)
slope = y2 - y1/x2 - x1
=3 - 1/-3 - 7
=2/-10
=1/-5
=[tex]-\frac{1}{5}[/tex]
If f(x)=2(x)2 +5w/(x+2)
(2) =
F(2)=
Answer:
16+5w/4
Step-by-step explanation:
Plz help meee <3 kitty’s
Answer:
linear means a line (that eliminates c and d)
as "X" increases the "Y" value "DECREASES" so the answer is "B"
Step-by-step explanation:
Answer:
B. Linear decreasing
Step-by-step explanation:
The graph appears to have a negative slope, and it is a straight line. This means the graph will be linear. An exponential growth/decay would have a curved line, so those are automatically out. Since the farther the points go the more downwards the line is, this means it is decreasing.
hope this helped. :)
Round your answer to the nearest hundredth.
А
(20
?
B
С
3
( need answers plz )
Answer:
8.24243226
Step-by-step explanation:
Same as the previous one I answered.
Tan = Opposite/ Adjacent
Adjacent = Opposite / Tan(20)
need help w this onee thankss!!
Step-by-step explanation:
if you draw an imaginary perpendicular line across the figure from the vertex which joins the line of 2 cm with the line that is making an angle of X then you can see that this figure is made up of two figures that is a triangle and a rectangle.
now from the angle given i.e X.
perpendicular= 5 cm
base = 14 -2= 12 cm
hypotenuse= ?
we know that,
h² = p²+b²
= 5²+12²=169
h= √169
h= 13
again,
cos X = b/h
= 12/13
Stationary points. Help ASAP please. Thanks
You can use the power rule for derivatives for each problem (though you could also use the product rule for the fourth curve).
y = x ² + 6x - 1 ==> dy/dx = 2x + 6
y = x ² - 5x + 1 ==> dy/dx = 2x - 5
y = 2 - 4x - x ² ==> dy/dx = -4 - 2x
y = (1 + x) (7 - x) = 7 + 6x - x ² ==> dy/dx = 6 - 2x
--
or, using the product rule,
dy/dx = (1 + x) (-1) + 1 (7 - x) = -1 - x + 7 - x = 6 - 2x
--
Now, stationary points occur where the derivative is zero. We have
2x + 6 = 0 ==> x = -3
2x - 5 = 0 ==> x = 5/2
-4 - 2x = 0 ==> x = -2
6 - 2x = 0 ==> x = 3
Solve x2 + 10x + 7 = 0 by completing the square.
Which equation is used in the process?
( x + 5) 2 = 32
( x + 5) 2 = 18
( x + 10) 2 = 93
$125 to the markup rate of 80% what is the final price?
Answer:
$225
Step-by-step explanation:
mark rate = 80%
original price = $125
mark amount = 80% of $125
=80/100 *125
=10000/100
=$100
final price = $125 + $100
=$225
Find the sum difference 104 - (-92)
Answer:
12
Step-by-step explanation:
882.3529411764706 to the nearest whole number
Answer:
882
Step-by-step explanation:
If it's over .5 you round up, if It's .4 or under you round down.
5.5 rounded to the nearest whole number is 6.
5.4 rounded to the nearest wholee number is 5.
there are 24 students in a class. among them 8 are girl.
a.find the ratio of boys and girls
b.find the ratio of girls and boys
Answer:
A 2:1
B 1:2
Step-by-step explanation:
If there is 24 students and 8 are girls, then 24 - 8 tells you how many are boys.
24 - 8 = 16.
There are 16 boys.
If there is 16 boys and 8 girls, the ratio would be 2 : 1 or 2/1 or 2 because 16 and 8 have a common factor of 8, so both sides can be divided by 8.
Hence the 8 : 2.
Ratios are commonly expressed with a colon, so that is going to be the symbol I'm using to differenciate the numbers.
We can just reverse the ratio since the original was boys to girls, but it is now girls to boys.
1:2
Help is very much appreciated
Answer:
Options : B & D
Step-by-step explanation:
E(x) = 10x - 30 , where x is the number of doors she knocks
Given she has to pay her own expense.
So whatever she earns $30 is reduced from it ,for her expense.
Option A: She can earn $10 even if she does not knock
any doors - False
That is, x = 0
When x = 0 , E (x) = 10 ( 0 ) - 30 = - 30
=> she loses $30.
Option B :Her expenses are $ 30 per week - True
E(x) = 10x - 30
Expenses are reduced from her earnings.
Option C: She will lose $10 per week if she does not knock
any doors - False.
Already checked on option A that if she does not knock
on any door, means x = 0 , then loses $30.
Option D : If she does not knock on any doors at all during
the week , she will lose $30 - True
Un capital de S/. 42.000 colocado a una tasa de interés del 7% capitalizable anualmente, ¿en cuántos meses produce un interés de S/. 8 700?
Answer:
Se requiere 34 meses para producir un interés de 8700 soles.
Step-by-step explanation:
Asumamos que el capital aumenta conforme a una tasa de interés compuesto, cuya fórmula se describe aquí abajo:
[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex] (1)
Donde:
[tex]C_{o}[/tex] - Capital inicial, en soles.
[tex]C[/tex] - Capital actual, en soles.
[tex]r[/tex] - Tasa de interés mensual, en [tex]\frac{1}{a}[/tex].
[tex]t[/tex] - Período de capitalización, en años.
Si sabemos que [tex]C_{o} = 42000[/tex], [tex]C = 50700[/tex] y [tex]r = 7\,\frac{\%}{a}[/tex], entonces el período de capitalización es:
[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex]
[tex]\frac{C}{C_{o}} = \left(1 + \frac{r}{100}\right)^{t}[/tex]
[tex]\ln \frac{C}{C_{o}} = t\cdot \ln \left(1 + \frac{r}{100}\right)[/tex]
[tex]t = \frac{\ln C - \ln C_{o}}{\ln \left(1+\frac{r}{100} \right)}[/tex]
[tex]t = \frac{\ln 50700 - \ln 42000}{\ln \left(1+\frac{7}{100} \right)}[/tex]
[tex]t = 2.782\,yr[/tex]
Es decir, se requiere 34 meses para producir un interés de 8700 soles.
Một dàn gà có 24 con gà trống và bằng 6 phần 5 số con gà mái. Tỉ số giữa số gà mái và số con gà của đàn.
Step-by-step explanation:
Số gà mái: 24 : 6 x 5 = 20 (con)
Số gà cả đà: 24 + 20 = 44 (con)
=> Tỉ số giữa gà mái và số gà của đàn: 20/44 = 5/11