The expression [tex]\rm log_{7} 98[/tex] using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex].
What is a logarithm?A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.
It is given that [tex]\rm log_{7} 2[/tex] = 0.356
We can write [tex]\rm log_{7} 98[/tex] in terms of [tex]\rm log_{7} 2[/tex]
[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]
In logarithm, the product will change in addition
[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]
= [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]
Hence, the expression [tex]\rm log_{7} 98[/tex] using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]
Learn more on logarithm here:
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Answer:
log7 2 + log7 49
log7 49= 2
Step-by-step explanation:
PLEASE HELP ME I REALLY NEED IT
Answer: 170
Step-by-step explanation: Angle G and Angle H are consecutive angles, meaning they both add up to 180 degrees. Thus, if 10 is the value of Angle G, Angle H must be 170.
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Answer:
If 50.24cm = Circumference
Radius = 8cm
If 50.24cm^2 = Area
Radius = 4cm
Step-by-step explanation:
50.24cm what? Circumference? Area?
π = 3.14
2πr = Circumference
50.24 / 2π = r
r = 8
πr^2 = Area
50.24 / π = r^2
r^2 = 16
r = 4
which is correct and explain
Answer:
c
Step-by-step explanation:
what fraction of 1/2 square centimeter is 1/2 centimeter square
Answer:
1/2
Step-by-step explanation:
The ratio of interest is ...
(1/2 cm)²/(1/2 cm²) = (1/4)/(1/2) = 1/2
One-half centimeter squared is half of 1/2 square centimeter.
A baseball bat costs $41. This is $9 more than four times the wholesale cost of the bat.Find the bat's wholesale cost.
We can find the bat's wholesale cost by working backwards -
Do $41 - 9 to get $32, then we can divide the 32 by the 4 to get $8.
Therefore, the wholesale cost of the bat is $8.
Happy to help!
Answer:
The bat's wholesale cost is $8
Step-by-step explanation:
You first have to subtract 9 from 41 as that will be 4 times the wholesale cost, which is $32. Then you have to divide 32 by 4, as we want to get the wholesale cost, not 4 times of the wholesale cost, and this would give us the wholesale cost, which is $8.
Help! I need help asap, I will give brainliest
Answer:
15.733in^2
Step-by-step explanation:
For this triangle it would be area=0.5 * b * h * sin(y)
(y) being the angle
(b) being base
(h) being height
Hope this helps and I am pretty sure this is right.
Answer:
is 24
Step-by-step explanation:
because is multiply for 22
Find the mean and the median of this data: 9, 6, 5, 3, 28, 6, 4, 7.
Answer: 9 is mean and median is 6
Step-by-step explanation:
Ill give you a cookie if you answer the question correct
Answer:
$7.20
Step-by-step explanation:
convert 1 1/4 to decimal form.
0.25+1=1.25
9/1.25 =7.20
A coin jar contains 12 quarters, 15 dimes, and 23 nickels. Find the probability that a Karen will choose a dime from the jar and then Mikah will choose a quarter from the jar.
Answer:
D = .30 Q = 0.24
Step-by-step explanation:
12 + 15 + 23 = 35 + 15 = 50
15/50 = 3/10
12/50 = 6/25
ok well
6/25 = 0.24
3/10 = .30
Label the missing angle on this window.
Answer:
C
Step-by-step explanation:
Since the angles in a triangle add to 180 degrees, the third angle is 180-70-45=65 degrees
i really need help please
Answer:
56⁰
Step-by-step explanation:
I hope it helps you
If any doubts do let me know in the comments
can y’all please help, it’s gradpoint. 30 points and brainliest with explanation ! :(
Answer:
f(g))(0) = 0
Step-by-step explanation:
assuming you mean f(g)(0)
evaluate g(0) then substitute the value obtained into f
x = 0 then g(0) = 2 ← from graph (0, 2 ) , then
x = 2 then f(2) = 0 ← from graph (2, 0 )
WILL GIVE BRAINLIEST
A student was calculating the residuals of a linear regression equation. The largest residual value found was between 0.90 and 1. What could be said about the data?
Answer:there is a very strong corolation
Step-by-step explanation:
5cm
6cm
8cm
What is the perimeter of the following
Answer:
19cm
Step-by-step explanation:
lets assume its a triangle
perimeter = 5cm + 6cm +8cm
The area of a square garden is
1/144 km ^2 . How long is each side?
Answer:
[tex]\frac{1}{12}[/tex] Km
Step-by-step explanation:
the area (A) of a square is calculated as
A = s² ( s is the side length )
here A = [tex]\frac{1}{144}[/tex] , then
s² = [tex]\frac{1}{144}[/tex] ( take square root of both sides )
s = [tex]\sqrt{\frac{1}{144} }[/tex] = [tex]\frac{1}{\sqrt{144} }[/tex] = [tex]\frac{1}{12}[/tex]
Answer:
side= 1/12 km = 0.083km
Step-by-step explanation:
The formula of area of a square is: A=side²
To get the length of each side, square root each side of the formula as shown below:
√A=√(side)²
√(1/144)=side
side= √(1/144) = 1/12 = 0.083km
What is the approximate area of Laura’s yard?
To find the area of an irregular shape (in general)
⇒ is best to split it into different regular shapes
⇒ (in this case), let's split into a half-circle and a square
Area of the half-circle:
⇒ half the area of a circle ([tex]\pi r^2[/tex])
⇒ Area of half-circle = [tex]\frac{1}{2}\pi r^2[/tex]
r: length of radius ⇒ half of length of the diameter ⇒ 8.5m[tex]\pi[/tex] = 3.14Area of Half Circle = [tex]\frac{1}{2}\pi (8.5)^2 = 113.5m^2[/tex]
Area of square
⇒ length * width
⇒ Area of Square = 17 * 17 = 289[tex]m^2[/tex]
Total Area = 113.5 + 289 = 402.5 ≈ 402[tex]m^2[/tex]
Hope that helps!
Which function is graphed below?
Answer:
The function y =f (x) is graphed below. Plot a line segment connecting the points on f where x = -9 and x = -3. Use the line segment to determine the average rate of change of the function f (x) on the interval -9 <x <-3?
Step-by-step explanation:
I am not sure where or what you are talking about?
Use the picture I provided to help me answer the question.
Which of the following statements is no True?
A) the square root of 112 is between 10 and 11
B) the square root of 180 is between 13 and 14
C) the square root of 12 is between 4 and 5
D) the square root of 5 is between 2 and 3
Answer:
correct answer is A. because the square root of 122 is 11.06 which means its between 11 and 12, not 10 and 11
Step-by-step explanation:
Jill went shopping from 3:45 pm to 5:00 pm for how long did she shop
Answer:
total 1 hour 15 mins
Step-by-step explanation:
3:45 - 5:00
lets count one by one
3:45 - 4:00 = 15 mins
4:00 - 5:00 = 1 hour
total 1 hour 15 mins
Evaluate the expression (9x3)^2 -4^0
Answer:
728
Step-by-step explanation:
(9x3)^2-4^0
First solve in parenthesis,
Then solve exponents.
27^2 - 4^0
729 - 1
728
PLEASE HELP BECAUSE I DON"T KNOW INTEGRATION WITH TRIG SUBSTITUTION!!! WILL GIVE BRAINLIEST + 20 POINTS!!!
please help me answer this question!!!!
Answer:
4³ and 4 · 4 · 4
Step-by-step explanation:
4³ is the same as 4 · 4 · 4 (or 4 three times).
First We Need To Solve All The Expression:-
Expression (1)[tex](4) {}^{3} \\ = 4 \times 4 \times 4 \\ = 64[/tex]
Expression (2)[tex]( {3})^{4} \\ = 3 \times 3 \times 3 \times 3 \\ = 81[/tex]
Expression (3)[tex]\: \:\: \:4 \: ·4 \: ·4 \\ = 64[/tex]
Expression (4)[tex]\: \:\: \:3 \: · \: 4 \\ = 12[/tex]
[tex] \therefore \text{We Can See \underline{Expression (1)} And \underline{Expression (3)} are same}[/tex]
Hope This Helps
A rectangular swimming pool is 17 meters long, 14 1/2 meters wide, and 5 1/2 meters deep. What is its
volume?
Answer:
1355.75 m
Step-by-step explanation:
Volume of a rectangle = length x breadth x height
Volume of recatngular swimming pool = 17 x 14.5 x 5.5
volume of rectangular swimming pool = 1355.75 m
A cylinder has a radius of 19 millimeters. Its volume is 22,670.8 cubic millimeters. What is the height of the cylinder?
Answer:
19.99
Step-by-step explanation:
use the formula
[tex]\pi {r}^{2} h = v[/tex]
change it up so that you solve for height
[tex] \frac{v}{ {r}^{2} \times \pi } = h[/tex]
substitute values in and solve
Answer:
20.00 mm to the nearest hundredth.
Step-by-step explanation:
V = π r^2 h
22,670.8 = π * 19^2 * h
h = 22,670.8 / π * 19^2
= 22,670.8 / 1134.115
= 19.9899
The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 110I I2 + I + 4 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum? I = thousand foot-candles
Using the vertex of a quadratic equation, it is found that P is at a maximum for l = -0.5 thousand foot-candles.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function for P is given by:
[tex]P(l) = \frac{110l}{l^2 + l + 4}[/tex]
The function will be at a maximum when the denominator is at a minimum. The denominator is a quadratic function with coefficients a = 1, b = 1, c = 4, hence:
[tex]l_v = -\frac{b}{2a} = -\frac{1}{2} = -0.5[/tex]
P is at a maximum for l = -0.5 thousand foot-candles.
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
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If f(1)=2 and f(n) = f(n-1)^2+4 then what is the value of f(3)?
Answer:
f(3) = 68
Step-by-step explanation:
Given:
[tex]\sf f(1)=2[/tex]
[tex]\sf f(n) = f(n-1)^2+4[/tex]
[tex]\sf \implies f(2) = f(1)^2+4[/tex]
[tex]\sf \implies f(2) = 2^2+4=8[/tex]
[tex]\sf \implies f(3) = f(2)^2+4[/tex]
[tex]\sf \implies f(3) = 8^2+4=68[/tex]
what is the value of x?
6(x-4)=10
Answer:
[tex]\boxed{\sf{x=\dfrac{17}{3}=5.6 }}[/tex]Step-by-step explanation:
Use a distributive property.
Distributive property:
[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]
⇒ 6(x-4)=10
First, divide by 6 from both sides.
⇒ 6(x-4)/6=10/6
Solve.
⇒ x-4=5/3
Add by 4 from both sides.
⇒ x-4+4=5/3+4
Solve.
5/3+4
4*3/3+5/3
4*3+5/3
4*3=12
12+5=17
x=17/3
Dividing is another option.
17/3=5.6
x=17/3=5.6
Therefore, the final answer is x=17=5.6.I hope this helps you! Let me know if my answer is wrong or not.
PLSSS help if you TURLY know THISS
Answer:
that would be C.) 1 and 1/8
Step-by-step explanation:
becuase the denominator never changes and you would make it a mixed number versus leaving it as 9/8
Answer: c
Step-by-step explanation:
Add the numerators
7+2=9
8 out of the 9 will make a whole number
9-8=1
The last 1 in the numerators will make 1/8
1 and 1/8
3. Write 6x - 2y = 0 in slope-intercept form, if possible.
Answer:
y=3x
Step-by-step explanation:
Answer:
y = 3x
Step-by-step explanation:
subtract 6x to the other side
divide by -2
there is no y-intercept because it's 0