Which exponential equation is equivalent to this logarithmic equation?
log_(x)5+log_(x)12=7
A. 7^x=17
B. 7^x=60
C. x^7=60
D. x^7=17
Answer:
B or A
Step-by-step explanation:
The following table shows a proportional relationship between X and Y
X Y
2 9
5 22.5
8 36
Write an equation to describe the relationship between X and Y
Alice is standing on the roof of a 150 ft building. She looks down at an angle of depression of 15 degree and sees her friend bianca. How far away from the building is bianca
Answer:
559.70 ft
Step-by-step explanation:
Let D be the distance between building and Bianca.
Height of building H = 150 ft
Let there be a triangle ABC where, AC = height of building H= 150ft, AB = distance between Alice and Bianca and BC = D and therefore, ∠ABC = 15°.
Now in Triangle ABC , tanB = AC/BC
therefore, tan15° = 150/D
D = 150/tan15° = 559.70 ft
Therefore, the distance between building and Bianca D = 559.70 ft
Mrs. Smith's Algebra class has 29 students. There are 3 more girls than boys.
How many girls are there?
boys:
girls:
Hey there!
The answer is 13 boys and 16 girls.
We can do this by making an equation, using "x" to represent boys. Knowing there are 3 more boys than girls, we can set up the following equation:
(x + 3) + x = 29
NOTE: "x + 3" represents the number of girls, since there are 3 more girls than boys. "x" represents the number of boys. Now we can solve the equation:
x + 3 + x = 29
Add like terms:
2x + 3 = 29
Subtract 3 from both sides:
2x = 26
Divide both sides by 2:
x = 13
Therfore, there are 13 boys. To figure out girls, we simply add 3, giving us 16.
Have a terrificly amazing day! :D
In the following diagram, m AC= 97° and m CD= 112°. Find the measure of angle x.
Answer:
x = 27
Step-by-step explanation:
Hello There!
The first thing we want to do is find the measure of arc AD
remember the circumference of a circle in degrees is 360
so to find the measure of arc AD we subtract the given arc measures (97 and 112) from 360
360 - 112 - 97 = 151
so arc AD = 151
now to find x
if you didnt know an included angle formed by tangent lines is equal to one half of its major arc minus its minor arc
For this problem to be more specific ∠B = 1 half of (arc AD - arc AC)
Now what we want to do is plug in the known information and solve for angle B
∠B = 1/2 ( 151 - 97 )
151 - 97 =54
54/2=27
so we can conclude that x = 27
Which statement about the numbers 22.407 and 22.416 is true? 22.407 = 22.416 because the values of the 4 in the tenths places are equal. 22.407 > 22.416 because the value of the 7 in the thousandths place is greater than the value of the 6. 22.407 = 22.416 because the values of the 2 in the ones places are equal. 22.407 < 22.416 because the value of the O in the hundredths place is less than the value of the 1.
Answer:
22.407 < 22.416 because the value of the 0 in the hundredths place is less than the value of the 1.
SHOW ANSWER
Step-by-step explanation:
Answer:
The last answer choice
Step-by-step explanation:
22.407 < 22.416
A national park is a rectangle that is 33 miles wide and 56 miles long, How long is a
diagonal road through the park?
Answer:
this would be a right triangle with the legs being 8 miles and 6 miles. using the Pythagorean theorem, the hypotenuse would be 10 miles long. therefore, he would be walking a total of four miles less if he walked diagonally.
Step-by-step explanation:
Answer:23
Step-by-step explanation:
find the equation that represents the proportional relationship between in this graph
Answer:
y=6/7x
Step-by-step explanation:
You need to find the slope. The rise is 18 and the run is 21. 18/21 simplifies to 6/7
A software company has found that on Mondays, the polynomial function C(t) = −0.0625t4 + t3 − 6t2 + 16t approximates the number of callers to its hotline at any one time. Here, t represents the time, in hours, since the hotline opened at 8:00 A.M. How many service technicians should be on duty on Mondays at noon if the company doesn't want any callers to the hotline waiting to be helped by a technician?
Answer:
At least 16 service technicians
Step-by-step explanation:
Given
[tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]
Required
Number of service technician to be online at 12 noon
First, we calculate the value of t
[tex]t = 12\ Noon - 8:00AM[/tex]
[tex]t = 4[/tex]
Substitute [tex]t = 4[/tex] in [tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]
[tex]C(4) = -0.0625 * 4^4 + 4^3 - 6 * 4^2 + 16 * 4[/tex]
[tex]C(4) = 16[/tex]
This implies that there are 16 customers online at 12 noon.
If 16 customers are online, then there should be at least 16 service technicians online.
one more question, sorry can someone please help?
Answer:B
Step-by-step explanation:
Honestly when I did the math I got closest to b so I think it's B hope his helps
I WILL CROWN YOU BRAINLIEST I NEED HELP ASAP PLS PLS PLSSSSSS tysm to whoever helps me
Answer:
400
Step-by-step explanation:
Answer:gbfcfrfrfrfrddr
Step-by-step fgggghhhhh:
Please help I do not know how to do this right answer only.
Answer:
x = 58
Step-by-step explanation:
that is a 90 degree angle - 32 degrees = 58 degrees
How long does it take an account with a principal of 400 to earn $60 in interest at a simple annual interest rate of 3% It takes_ years
Answer:
It will take 5 years
Step-by-step explanation:
Have a great day!
PLEASE HELP PLEASEEEEEEEEEEEEEEEEE
Answer:
B
Step-by-step explanation:
3(d+2)-12d-2
3d+6-12d-2
3d+6-12-2
3d+4-12d= -9+4
Hal read 114 pages of his book during vacation. This was 60 percent of the book. How many pages does Hal have left to read
Answer:
76
Step-by-step explanation:
Let number of pages=x
60% of x=114
x=114×100/60=190
pages left=190-114=76
DeShawn has 3.5 bottles of water. Each full bottle holds 8.25 fluid ounces. DeShawn wants to know how many fluid ounces of water he has in all. NEED HELP
Answer: 27.625 fl oz
Step-by-step explanation:
8.25*3.5= 27.625 fl oz
How many tenths are equivalent to 2/5
how many times larger is 60 million than 50 million
Nicholas Has a very large soup pot shaped like a cylinder that has a height of 20 inches and a radius of 6 inches. How much soup can Nicholas’s soup pot hold ?
Answer:
2262 in³
Step-by-step explanation:
Given that:
Height, h = 20 inches
Radius, r = 6 inches
Volume of a cylinder is given as :
V = πr²h
V = π * 6² * 20
V = π * 36 * 20
V = 2261.9467 in³
Hence, Nicholas pot can hold about 2262 in³ of soup
FILL THIS OUTTTTT PLZZZZ
Answer:
3.5
Step-by-step explanation:
3.5 + 3.5 = 7
Henry is making a recipe for biscuits.A recipe calls for 5/10 kilogram flour and 9/10 kilogram sugar.If henry measures correctly and combines the two amounts,how much flour and sugar will he have. Show your work
Answer: [tex]\dfrac{14}{10}\ kg[/tex]
Step-by-step explanation:
Given
Henry has [tex]\frac{5}{10}\ kg[/tex] of flour and [tex]\frac{9}{10}\ kg[/tex] of sugar
If henry added the two amounts, the net weight of the two is
[tex]\Rightarrow W_{net}=\dfrac{5}{10}+\dfrac{9}{10}\\\\\Rightarrow W_{net}=\dfrac{5+9}{10}=\dfrac{14}{10}\ kg\ \text{or}\ \dfrac{7}{5}\ kg[/tex]
Check all the equations that apply to meet the Segment Addition Postulate in segment QA. QP=3x+7, PA=3x+2 and QA=32
Asse
MA
MARS
MAFS
3x-23=-3x
Answer:
J
Step-by-step explanation:
Joe's age exceeds by Vika's age by 16 years. Four years ago, Joe was twice as old as Vika. Find the present age for each.
Answer:
Joe's present age = 36 years
Vika's present age = 20 years
Step-by-step explanation:
Let us represent the present age of
Joe = x
Vika = y
Joe's age exceeds by Vika's age by 16 years.
x = y + 16...... Equation 1
Four years ago, Joe was twice as old as Vika.
x - 4 = 2(y - 4)
x - 4 = 2y - 8........ Equation 2
We substitute y + 16 for x
y + 16 - 4 = 2y - 8
Collect like terms
16 - 4 + 8 = 2y - y
y = 20 years
We solve for x
x = y + 16...... Equation 1
x = 20 + 16
x = 36 years
Therefore, Joe's present age = 36 years
Vika's present age = 20 years
help all questions are in the picture
Answer:
5. 2=1+1
6. 0= -3*0
7.2=3*0+2
convert -350 degrees in radians
Answer:
-(350 degrees) =-(350 degrees) =-6.10865238 radiansAnswer:
-35π/18 radians
Step-by-step explanation:
What equation could you solve to find the value of x in this diagram?
Answer:
75+3x=180
Step-by-step explanation:
Answer:
75 + 3x = 180
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180°.
45 + 30 + 3x = 180
75 + 3x = 180
Find (y+3)(y^2+8y-2)
Answer:
the answer is y^3+11y^2+22y-6
Answer:
y³ + 11y² + 22y - 6
Step-by-step explanation:
(y + 3)(y² + 8y - 2)
y(y² + 8y - 2)+ 3(y² + 8y - 2)
y³ + 8y² - 2y + 3y² + 24y - 6
y³ + 11y² + 22y - 6
HELP ASAP I GIVE BRAINLISTE
Answer:A
Step-by-step explanation:
Dotted line means less than so it has to be A
Answer:
Step-by-step explanation:
Which polynomial correctly combines the like terms and puts the given polynomial in standard form?
1/3x + 8x^4 - 2/3x^2 - x
A. 8x^4 - 1/3x^2 + 2/3x
B. 8x^4 + 2/3x^2 + 2/3x
C. 8x^4 - 2/3x^2 - 2/3x
D. 8x^4 - 2/3x^2 - x
Answer:
c
Step-by-step explanation:
PQRS is a parallelogram. Solve for x.
Plz help
Answer:
The opposite sides of a parallelogram are congruent, then
19x - 9 = 13x + 15 ( subtract 13x from both sides )
6x - 9 = 15 ( add 9 to both sides )
6x = 24 ( divide both sides by 6 )
x = 4
---------------------------------------------
Consecutive angles are supplementary, sum to 180° , that is
10y - 37 + 4y + 7 = 180
14y - 30 = 180 ( add 30 to both sides )
14y = 210 ( divide both sides by 14 )
y = 15
Then
∠ R = 10y - 37 = 10(15) - 37 = 150 - 37 = 113°
Then
∠ P = 113° ( opposite angles are congruent )
Step-by-step explanation: