Answer:
1, 2, 3
Step-by-step explanation:
1 + 2 + 3 = 6
1 * 2 * 3 = 6
Write the log equation as an exponential equation. You do not need to solve for x. \log_9\left(2\right)=2x-1 log 9 (2)=2x−1
Answer:
[tex]9^{2x-1} = 2\\[/tex]
Step-by-step explanation:
According to the law of logarithm;
[tex]If \ log_ab = x\\a^x = b[/tex]
Given
[tex]\log_9\left(2\right)=2x-1[/tex]
Comparing with the original expression;
a = 9, b = 2 and c = 2x - 1
Substitute into the result indicinal expression;
[tex]9^{2x-1} = 2\\[/tex]
This gives the required exponential equation
HELP NEEDED!! Find the sine of W
Answer:
[tex]\frac{\sqrt{47}}{10}[/tex]
Step-by-step explanation:
First you find the missing side using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex].
Which is [tex](\sqrt{53})^{2} + b^{2} = 10^{2}[/tex].
do the squares to make it 53 + [tex]b^{2}[/tex] = 100 and solve for b.
[tex]b^{2} = 100-53\\b^{2} = 47\\b= \sqrt{47}[/tex]
Sine of an angle is Opposite over Hypotenuse to get
[tex]\frac{\sqrt{47} }{10}[/tex]
Help needed!! Don’t know how to do!!
Answer:
D,0,2,-2
Step-by-step explanation:
2x^5-3x^3-20x=0
x(2x^4-3x^2-20)=0
x=0
or 2x^4-3x^2-20=0
put x²=t
2t²-3t-20=0
-20×2=-40
8-5=3
8×-5=-40
2t²-(8-5)t-20=0
2t²-8t+5t-20=0
2t(t-4)+5(t-4)=0
(t-4)(2t+5)=0
t=4
x²=4
x=2,-2
t=-5/2
x²=-5/2
it gives imaginary root. so real rational roots are 0,2,-2
Answer:
D
Step-by-step explanation:
1) Factorise x
x(2x^4-3x^2-20) = 0
a product is equal to 0 when at least one factor is equal to 0.
so a solution is
x = 0
we have now to solve
2x^4 - 3x^2 - 20 = 0
we can put
x^2 = y
and we have
2y^2 - 3y - 20 = 0
it is now an equation of second degree
Δ = 9 + 160 = 169
y1 = (3 + 13)/4 = 4
y2 = (3 - 13)/4 = -10/4 = -5/2
for the previous relationship we have
x^2 = 4
x = 2
x = -2
x^2 = -5/2
a square number can’t be negative, so this equation is impossible.
In conclusion we can say that the original equation has three solution:
0, -2, 2
Please help thank you!
Answer:
10
Step-by-step explanation:
4 - (x + 1) = 6
Someone please help :^:
Hope this helps please mark me brainliest
Answer:
x = -3
Use the graph at the top to figure out the question. If someone could help they would be great! And brainliest. Please help
Answer:
A) $24
Step-by-step explanation:
Looking at the graph, each gallon of gasoline is $3. Therefore, the equation would be y = 3x. To solve for 8 gallons, substitute the value into the equation.
y = 3(8) = 24
Therefore, the cost of 8 gallons of gasoline would be $24.
If you fail two semesters will you be held back?
umm...... No because 1 haven't give any semester
David is six times older than Janet. If David is 48 years old, how old is Janet?
Answer:
janet would be 8 years old
Answer:
8
Step-by-step explanation:
Janet would be 8 cause yeah
What is the area and perimeter of square
Answer:
The answer is A
Step-by-step explanation:
This I because the area of a square is =
(length of on side)² = l²
The options there are not perfect squarss except A
which is 64 in²
And we know that 8² will give you 64
so then it means one side is 8 in
So the area =
8² = 8 in × 8 in = 64 in²
A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft. Calculate the surface area of the silo. Leave your answer in terms of π.
480π sq. ft.
276π sq. ft.
216π sq. ft.
204π sq. ft.
Answer:
216π sq ft
Step-by-step explanation:
given that :
d = 12 ft => r = 12/2 = 6ft
h(cyl) = 10 ft
h(cone) = 8 ft
the surface area = ?
the solution :
the slant of cone = √r²+h²
= √6²+8²= √100 = 10 ft
the surface area of silo =
the lateral area of cone + the lateral area of cylinder + the base area
= π×r×slant + 2×π×r×h(cyl) + π×r²
= π×6×10 + 2×π×6×10 + π×6²
= 60π + 120π + 36π
= 216π sq ft
The surface area of the silo will be 216π square feet. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal.
The surface area is the sum of the surface area of the cone and cylinder. Then we have
The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft.
Surface area = πrl + 2πrh + πr²
The length of the radius will be
r = d /2
r = 12 / 2
r = 6 ft
The length of slant height will be
l² = 6² + 8²
l² = 100
l = 10 ft
Then the surface area of the silo will be
SA = π × 6 × 10 + 2π × 6 × 10 + π6²
SA = 60π + 120π + 36π
SA = 216π square feet
The surface area of the silo will be 216π square feet.
Then the correct option is C.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
solving system by substitution
Answer:
The solution of this system is (9, 2).
Step-by-step explanation:
Substitute x - 7 for 'y' in the first equation. We get:
x - 3(x - 7) = 3 Doing this temporarily eliminates the variable 'y'.
Now perform the indicated multiplication, and then combine like terms:
x - 3x + 21 = 3, or
-2x = -18
so that x = 9. Substituting 9 for x in the second equation, we get:
y = 9 - 7, or y = 2.
The solution of this system is (9, 2).
I need help with number 1 and 2
Answer:
1. 452.39
2. 615.75
Step-by-step explanation:
area of a circle = A=πr2
Find the missing side
Answer:
x = 12.35
Step-by-step explanation:
Tan(39) = 10/x
Tan(39) * x = 10
x = 10 / Tan(39)
x = 12.35
Hope this helps!
Answer:
Step-by-step explanation:
Remember SOHCAHTOA.
In this case, we use TOA.
tan(39) = 10/x
x = 10/tan(39)
x = 12.349
Please help me with this
Which of the following sets of points is a direct variation?
(0, 0); (-1, -2); (1, 2)
(0, 0); (2, 4); (5, 15)
(3,6); (-2, 4); (-1,2)
(0,5); (1, 6); (2,7)
A traveling fair charges a $5.25 admission fee plus $0.75 for tickets to ride a roller coaster. candace has a budget of $15.50 to spend on her admission fee and roller coaster rides. how many tickets can candace buy?
A) 19 tickets
B) 15 tickets
C) 14 tickets
D) 13 tickets
Answer:
13
Step-by-step explanation:
Thank you please shwo your work if you can<3 !!!!
x=
y=
Answer:
x = 2, y = - 1
Step-by-step explanation:
Given the 2 equations
y = - 7x + 13 → (1)
y = - 1 → (2)
Substitute y = - 7x + 13 into (2)
- 7x + 13 = - 1 ( subtract 13 from both sides )
- 7x = - 14 ( divide both sides by - 7 )
x = 2
y = - 1 is already given in (2)
Then x = 2, y = - 1
Please Help Quick ASAp Hurry
What is the exact volume of the cylinder?
A. 780π in3
B. 5070π in3
C. 390π in3
D. 11,700π in3
Answer:
B. 5070π in³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
r = 13 in
h = 30 in
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = π(13 in)²(30 in)Evaluate exponents: V = π(169 in²)(30 in)Multiply: V = 5070π in³Answer:
[tex]\large\fbox{B. 5070 π inches³}[/tex]
Step-by-step explanation:
We have given that :-Radius of cylinder , r = 13 inchesHeight of cylinder , h = 30 inchesWe need to find :-The Volume of cylinder
Formula Used :-Volume of cylinder = π × r ² × h
Where,
r is the radius of cylinderh is the height of cylinderSolution :-Using Formula
➛Volume of cylinder = π × r ² × h
substitute the values into the formula
➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.
Evaluate exponent
➛ Volume of cylinder = π × 169 inches ² × 30 inches.
multiply, we get
➛ Volume of cylinder = 5070 π inches ³.
Therefore, option B which is 5070 π inches³ is the correct ☑ answer.
Find the volume of the pyramid. The base is an isosceles triangle with a base of 7/3 meters and height of 15/2 meters. The height of pyramid is 24/5 meters
Volume of pyramid =
V=224/25 m3
V=1344/25 m3
V=14 m3
Answer:
14 m³
Step-by-step explanation:
the volume of pyramid = ⅓× base area × height
= ⅓ × (½×7/3 × 15/2) × 24/5
= (7×15×24)/(3×2×3×2×5)
= 2520/180
= 14 m³
A company bought a piece of machinery for $16 200. In the first it depreciated 15%, and in the second year 10%. How much was it worth when two years old?
A triangle has sides with lengths of 5 kilometers, 11 kilometers, and 12 kilometers. Is it a right triangle?
Answer:
Step-by-step explanation:
to prove it right angle
square of largst side must be eqaul to the sum of two other sides.
so here 12 is largest and 11 and 5 are two other smallest sides of a triangle.
(12)^2=(11)^2+(5)^2
144=121+25
144=146
since the square of largest side is not equal to the sum of square of other two smaller sides it can be concluded that the given sides of a triangle does not form a right angled triangle.
Container A holds 5 bottles of water each with a capacity of 250ml. Container B
holds 7 bottles of water each with a capacity of 175ml. Which container holds
more water? Explain your answer.
Answer:
Container A has more capacity, as it holds 1,250 milliliters of water against 1,225 milliliters that Container B contains.
Step-by-step explanation:
Since Container A holds 5 bottles of water each with a capacity of 250ml, while Container B holds 7 bottles of water each with a capacity of 175ml, to determine which container holds more water, the following calculation must be performed:
Container A:
250 ml x 5 bottles: Capacity
250 x 5 = X
1,250 = X
Container B:
175 ml x 7 bottles: Capacity
175 x 7 = X
1,225 = X
Therefore, Container A has more capacity, as it holds 1,250 milliliters of water against 1,225 milliliters that Container B contains.
If line segment are you is considered the base of a parallelogram are STU what is the corresponding height of the parallelogram
Answer: Hello your question lacks some data hence i will provide a general solution within the scope of your question.
answer:
Height = Area of parallelogram / base of parallelogram
Step-by-step explanation:
The corresponding height of the parallelogram can be calculated using the general equation below :
Height = Area of parallelogram / base of parallelogram
Kindly input the values you have into the relation to get the corresponding height of the parallelogram.
Classify the following triangle. Check all that apply.
DA. Isosceles
D B. Obtuse
C. Scalene
E D. Acute
E E. Equilateral
D F. Right
Answer:
A . Isosceles
Step-by-step explanation:
An isosceles triangle has both two equal sides and two equal .
BRAINLIEST FOR CORRECT ANSWER.
I drew what option c was for the third answer
Answer:
B A B
Step-by-step explanation:
Answer:
1. A or one meter
2. A or 4 kilometers
3. B or 4 thousand strides
Step-by-step explanation:
marathon is 4 kilometers and a kilometer is 1000 strides or meters.
Complete the angle addition postulate for the following angle
Given:
A figure and an incomplete equation [tex]m\angle GEM+m\angle MEO+m\angle \_\_[/tex].
To find:
The missing value for the given equation by using the angle addition postulate.
Solution:
A ray EM divides the angle GEO into two parts. The first part is [tex]\angle GEM[/tex] and the second part is [tex]\angle MEO[/tex].
Using the angle addition postulate [tex]\angle GEO[/tex] is the sum of [tex]\angle GEM[/tex] and [tex]\angle MEO[/tex].
[tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex]
Therefore, the missing value is GEO and the complete equation is [tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex].
Me pueden ayudar con estos ejercicios porfa.
Step-by-step explanation:
a. 3x²+10x+8 = (3x+4)(x+2)
b. 4x²+21x-18 = (4x-3)(x+6)
c. 3x²+8x+5 = (3x+5)(x+1)
d. 6x²+5x-4 = (2x-1)(3x+4)
e. 15x⁴-23x²+4 =(5x²-1)(3x²-4)
f. 15x⁴+23x²+4 =(5x²+1)(3x²+4)
g. 6x²-7x-3 = (2x-3)(3x +1)
h. 6x²-43x+72 = (3x-8)(2x-9)
PLZ HELP ASAP
If the surface area of the rectangular prism is 224 cm 2 , what is the height?
8 cm
10 cm
6 cm
12 cm
the height of the prism is 12 centimeters
Check the functions whose inverses are also functions.
On a coordinate plane, an absolute value function opens down.
On a coordinate plane, an exponential functions increases from quadrant 2 into quadrant 1.
On a coordinate plane, a cubic function has an x-intercept of (0, 0).
Answer:
b and c
Step-by-step explanation:
Answer:
Hands down c and b
Step-by-step explanation:
Question 15 of 25
If the factors of a polynomial are x + 8 and x+4, what values of x make that
polynomial O?
A. -8 and -4
B. 8 and -4
C. -8 and 4
D. 8 and 4
Answer:
Step-by-step explanation:
Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are
(x + 8)(x + 4) = 0, then by the Zero Product Property,
x + 8 = 0 so x = -8 or
x + 4 = 0 so x = -4. Choice A.