Answer:
x = -17/16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-8 = 16x + 9
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 9 on both sides: -17 = 16x[Division Property of Equality] Divide 16 on both sides: -17/16 = xRearrange/Rewrite: x = -17/16Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: -8 = 16(-17/16) + 9Multiply: -8 = -17 + 9Add: -8 = -8Here we see that -8 does indeed equal -8.
∴ x = -17/16 is the solution to the equation.
Convert the number to scientific notation.
62,004,100=
x10
+
VI
B.
I NEED HELP QUICKLYYYY
6
Consider this right triangle.
15
C с
12
B
Enter the measure of ZCAB to the nearest hundredth degree.
Step-by-step explanation:
sinA=p/h
sinA=12/15
A=sin-¹(4/5)=53.13=53°
<CAB=53°
The measure of ∠CAB is 53°.
What is Trigonometry?The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant, is one of the six mathematical operations used to describe the side ratios of right triangles (csc).
As per the given data:
From the given diagram, we can clearly understand that the triangle is a right-angled triangle which is right-angled at C.
We have to find out the measure of ∠CAB.
The lengths of the sides BC and AB is also given in the diagram.
For finding out the measure of ∠CAB we can consider BC as the perpendicular and AB as the hypotenuse, and then we have to use the appropriate trigonometric ratio.
The length of the perpendicular BC = 12 units
The length of the hypotenuse AB = 15 units
For relating perpendicular and hypotenuse, we can use the sin trigonometric ratio.
sinθ = Perpendicular / Hypotenuse
sinθ = BC / AB
sinθ = 12 / 15
sinθ = 4 / 5
θ = 53°
The measure of ∠CAB is 53°.
Hence, The measure of ∠CAB is 53°.
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A warren of rabbits has a population of 25. The population is increasing at a rate of 20% per year. How can you write an exponential growth function to find the monthly growth rate?
A. y = 25(1.2)^t
B. y = 25(1.1)^12t
C. y = 25(1.0167)^t
D. y = 25(1.01531)^12t
Answer:
b
Step-by-step explanation:
The exponential growth function is "[tex]y = 25(1.0167)^t[/tex]". A complete solution is below.
Given:
Population,
25Increasing rate,
r = 20%Now,
The value after 1 year will be:
= [tex]25+(\frac{20}{100} )25[/tex]
= [tex]25+\frac{1}{5}\times 25[/tex]
= [tex]25+5[/tex]
= [tex]30[/tex]
Now
→ [tex]25(1+\frac{R}{100} )^{12} =30[/tex]
→ [tex]R = 1.67[/tex]
hence,
The exponential growth rate to find the monthly growth rate will be:
→ [tex]y = 25(1.0167)^t[/tex]
Thus the above answer i.e., option C is the correct alternative.
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Find the missing side !!
Answer:
36?
Step-by-step explanation:
a recipe uses 2 1/4 cup of flower for a batch of cookies and henry makes 10 batch how much flower did he use
Answer:
22.5 flower
Step-by-step explanation:
The price of a flight was increased by 3% to £720. What was the price before the increase?
Give your answer to the nearest penny.
I am not found on any ground, But always in the air; Though charged each cloud with thunder loud, You can not find me there. Now, if from France you choose to dance Your way just into Spain, I there am seen, and near the queen, In hail, in mist, and rain. What am I?
Answer:
water
Step-by-step explanation:
i can only think about that
what is the slope of the line shown below?
Answer:
A
Step-by-step explanation:
6/3
I messed up I see what I did wrong, so I leave it hereeee
How much Angela payed for the couch
Answer:
697.05$
Step-by-step explanation:
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If an 8 sided spinner has 2 one's, 2 two's, 2 three's, and 2 four's, what is the probability of spinning a 3?
Brian rolls a fair dice 60 times.
How many times would Brian expect to roll a three?
Answer:
10 times.
Step-by-step explanation:
He rolls all the dice independently, so The expected number of 3's is 60 * (expected number of 3's in one throw).
The expected number of 3's in one throw is:
5/6 * 0 + 1/6 * 1 = 1/6
because 5/6 of the time we roll zero 3's and 1/6 of the time we roll one 3 :D
So he should expect (60 * 1/6 = 10) 3's in 60 throws.
Factor the polynomial below.
x2 + 6x + 9
Answer:
Step-by-step explanation:
x²+6x+9=(x+3)²
Name two points on the line y = 6x. Does it describe a
proportional relationship?
Answer:
b. Non-proportional
Step-by-step explanation:
A table of values that represents a proportional relationship will have the same ratio of every pair in the given table. That is, y/x will result in the same value all through for every given pair.
The table of values given does not show a proportional relationship, because the ratio of y to x of each given pair of values are different and unequal:
y/x = 3/1 ≠ 5/2 ≠ 7/3 ≠ 9/4
Therefore, it is non-proportional.
hope i help
se acabaron los bidones de 10 y se quieren envasar 1362 litros de agua ¿cual es la menor cantidad de envases que se pueden llenar?
Answer:
serían 136 y sobran 2
Step-by-step explanation:
porque al ser una botella de 10 litro y 1362 los dividimos nos da la cantidad de 136 se puede hacer mentalmente
12=4-4x
PLEASE HELPPP
Answer:
-2
Step-by-step explanation:
4x=4-12
4x=-8
X=-2
And answer is - 2
Urgent!
1 1/6 - 3/6 =?
Answer:
1 4/6
Step-by-step explanation:
Answer:
I got 0.66
Step-by-step explanation:
ILL GIVE 50 POINTS
Which set of statements explains how to plot a point at the location (Negative 3 and one-half, negative 2)?
Start at the origin. Move 3 and one-half units right because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between 3 and 4. Move 2 units down because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units left because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Start at the origin. Move 3 and one-half units left because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units down because the y-coordinate is -2.
Answer:
Option 3 is right
Start at the origin. Move 3 and one-half units down because the x-coordinate is Negative 3 and one-half. Negative 3 and one-half is between -3 and -4. Move 2 units right because the y-coordinate is -2.
Hope this helps:)
It is B from my point of view
8 is the factor of ___________.
(a) 72 (b) 73
(c) 74 (d) 75
Answer:
72
9 times 8 is 72
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Which of these is an example of a continuous random variable?
A. Points scored by a football team
B. Number of eye blinks in a minute
O C. Speed of a race car during a race
O D. Number of dogs at a kennel
In 2006, ford motor co. Sold 2.8 million cars. Of the average cost per car was $27,000. What were the total sales for ford.
Answer:
Seventy five billion six hundred million
Step-by-step explanation:
2.8 million x 27,000
loook below find the area
Step-by-step explanation:
step 1. this is a trapezoid. the area A = (b1 + b2)h/2 where b1 is the bottom base and b2 is the top base (per se), and h is the height. this formula is the definition of the area of a trapezoid.
step 2. A = (b1 + b2)h/2 = (22 + 9)(5)/2
step 3. A = 31(5)/2 = 155/2 = 77.5in^2.
what is 2(x+6)-6x in simplest form
Answer:
-4x + 12
Step-by-step explanation:
2(x+6)-6x
2x + 12 - 6x
combine llike terms
2x - 6x = -4x
-4x + 12
Answer:
2(x+6)-6x=-4x+12
Step-by-step explanation:
So how I got that was I expanded 2(x+6): 2x+12 so I got 2x+12-6x
I simplified 2x+12-6x and I got -4x+12
A line passes through the point (8, -9) and has a slope of 3/4 . Write an equation in point-slope form for this line.
Answer:
y+9=3/4(x-8)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-9)=3/4(x-8)
y+9=3/4(x-8)
Solve for c.
-2c = 8
Answer:
c = -4
Step-by-step explanation:
8/-2 = -4
A farmer packs 26 apples into trays for market. Each tray holds 6 apples. How many apples are in the partly filled tray? 32 children are going camping. Three children can sleep in one tent. How many tents are needed for all the children?
si 33 es multiplo 11 setiene que 11 es divisor de 33
Answer:
ABOOMABALACACA VETE ALA VERGA
Step-by-step explanation:
CITA TIEMPOS
Item 4 Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%
Answer:
20 points
Step-by-step explanation:
We need to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.
Let x be the number of points.
ATQ,
[tex]\dfrac{x}{50}=\dfrac{40}{100}\\\\x=\dfrac{50\times 40}{100}\\\\x=20[/tex]
Hence, a student needs 20 points to get a score of 40%.
Which is the quotient if 3/5 and 1/10?
Answer:
6
Step-by-step explanation:
We have two fractions and are asked to find the answer if they both are divided.
3/5 and 1/10.
When we divide fractions, we need to follow KCF
KEEP - Keep the fractions
CHANGE - Change the division sign to a multiplication sign
FLIP - Flip the second fraction
Follow :
KEEP :
3/5 / 1/10
CHANGE :
3/5 * 1/10
FLIP :
3/5 * 10/1
Now we need to multiply, which is simple because it's multiplying across :
[tex]\frac{3*10}{5*1}[/tex]
30/5
Simplify by dividing the numerator and denominator by 5 :
[tex]\frac{30/5}{5/5} = \frac{6}{1}[/tex]
Divide the numerator by denominator :
[tex]\frac{6}{1} = 6[/tex]
please help me | what is cos^6 x = cot^4*csc^2x-cot^4x????
Answer:
Write
csc
4
x
as
1
sin
4
x
and
cot
4
x
as
cos
4
x
sin
4
x
⇒
csc
4
x
−
cot
4
x
=
1
sin
4
x
−
cos
4
x
sin
4
x
=
1
−
cos
4
x
sin
4
x
Now recall that
a
2
−
b
2
=
(
a
−
b
)
⋅
(
a
+
b
)
and use this fact with
a
2
being and
b
2
being
cos
4
x
so that
a
is 1 and b is
cos
2
x
So
csc
4
x
−
cot
4
x
=
1
−
cos
4
x
sin
4
x
=
(
1
−
cos
2
x
)
⋅
1
+
cos
2
x
sin
4
x
But
cos
2
x
+
sin
2
x
=
1
so that
1
−
cos
2
x
=
sin
2
x
so
csc
4
x
−
cot
4
x
=
sin
2
x
⋅
1
+
cos
2
x
sin
4
x
=
1
+
cos
2
x
sin
2
x
=
(
1
sin
2
x
)
+
(
cos
2
x
sin
2
x
)
=
c
s
x
2
x
+
cos
2
x
Step-by-step explanation:
Answer:
so cot^6 (x) =cot^4 (x) csc^2 (x)-cot^4 (x) then you just manipulate the right side cot^4(x)csc^2(x)-cot^4(x) =cot^6(x) which is true
Step-by-step explanation:
simplify. 3(2x + 1)
a.7x
b.9x
c.6x+3
Answer:
C. 6x+3
Step-by-step explanation:
Because 3 is outside of the parentheses so it has to multiply everything inside the parentheses.
3*2x is 6x.
3*1 is 3.
This results in 6x+3.
Step-by-step explanation:
C.6x+3 thats tge answer