Answer: it would be 24.8ft
Which of the following pairs are NOT equivalent statements?
In x = y and x = e^y
log⬇️p N = b and b^p = N
x = sqrt y and x = y^1/2
log⬇️b N = p and B^p = N
Answer:
the answer is b
Step-by-step explanation:
bc they are not both equivalent.
The pair (B) is not equivalent after using the property of logarithm option (B) is correct.
What is a logarithm?It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
It is given that:
The expression is given in the options.
As we know, the expression can be defined as the combination of constants and variables with mathematical operators.
It is required to find the equivalent pairs:
A) In(x) = y and [tex]\rm x = e^y[/tex]
As we know from the log property:
logₙm = a
[tex]\rm \rm n^a = m[/tex]
The pairs are equivalent.
B) [tex]\rm log_p N = b \ and \ b^p = N[/tex]
Again using the log property:
logₙm = a
[tex]\rm \rm n^a = m[/tex]
The pairs are not equivalent.
C) [tex]\rm x = \sqrt y \ and \ x = y^{\dfrac{1}{2}}[/tex]
Using the property of exponent we can write the above expression:
The pairs are equivalent.
D) [tex]\rm log_b N = p \ and \ b^p = N[/tex]
logₙm = a
[tex]\rm \rm n^a = m[/tex]
The pairs are equivalent.
Thus. the pair (B) is not equivalent after using the property of logarithm option (B) is correct.
Learn more about the Logarithm here:
brainly.com/question/163125
#SPJ2
Write the equation of the line with the slope =5 and that goes through point (3,-5)
Answer:
[tex]y=5x-20[/tex]
Step-by-step explanation:
Point-slope form.
[tex]\frac{y-(-5)}{x-3} = 5\\y+5 = 5x-15\\y=5x-20[/tex]
The equation a= 13 25p models the relationship between the pounds of topsoil and the area covered in square feet. Determine the pounds of topsoil Caleb needs to order to cover an area of 169one hundred sixty nine square feet.
Answer:
Pounds of topsoil needs to order to cover an area of 169 square feet is 0.1275
Step-by-step explanation:
GIVEN: relation between the pounds of topsoil and area covered is ( a = 1325 p )
a represent area and b represent pounds of topsoil
To Find : pounds of topsoil needs to order to cover given area .
Solution : since here relation is given
a = 1325 p
value of a = 169 square feet
so putting the value of a in above relation
so , 169 = 1325 p
p = 169 / 1325 = 0.1275
So , pounds of topsoil needs to order to cover given area is 0.1275
Answer:
0.1275
Step-by-step explanation:
Hope this helps
5. Show 3 different ways on how you can multiply two polynomials to get 30x^3.
For example: 5x^2 - 6x = 30x^3
The ingredients listed on a cookie box tell what was used to make the cookies why might it still be difficult to make the cookies yourself
Answer:
Although the ingredients are listed on the box, it may be difficult to follow the recipe because it all depends on whether or not you have the correct ingredients, also knowing how to use them.
Step-by-step explanation:
For instance, if you have an oven or stove which you don't know how to use for this recipe, things could get confusing.
what is 12% of 4
ill give brainliest
Answer:
0.48
Step-by-step explanation:
Turn 12% into a decimal; 0.12
Multiply 0.12 and 4 to get the answer
0.12 • 4 = 0.48
Hope this helps!
please help will mark brainliest
Answer:
[tex]m\angle N=57^{\circ}[/tex]
Step-by-step explanation:
From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].
Therefore:
[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .
Answer:
LMN is rectangle in L so LMN= 180° ; ML=66°;N=? N= 180°- 66°=114=114/2= 57° so N=57°
Step-by-step explanation:
When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.
The perimeter of a parallelogram is 88 cm and one of its adjacent sides is longer
than the other by 10 cm. Find the length of each of its sides.
Answer:
sides are 17 cm and 27 cm
Step-by-step explanation:
let the side be x then the adjacent side is x + 10
The perimeter is then
x + x + x + 10 + x + 10 = 88, that is
4x + 20 = 88 ( subtract 20 from both sides )
4x = 68 ( divide both sides by 4 )
x = 17
and x + 10 = 17 + 10 = 27
The sides of the parallelogram are 17 cm and 27 cm
Which value for the variable w makes the
value of this expression 10?
50
W
A W=1/5
C W =60
BW= 5
Dw=500
Answer:
Step-by-step explanation:
It's C
Hector is decorating a ballroom ceiling with garland. If the rectangular ceiling is 65 meters by
72 meters, how much garland will Hector need to reach from one corner of the ceiling to the
opposite corner?
meters
Submit
Answer:
d = 97 m
Step-by-step explanation:
Given that,
The dimensions of the rectangular ceiling is 65 meters by 72 meters.
We need to find how much garland will Hector need to reach from one corner of the ceiling to the opposite corner. Let it is d. It will be the diagonal of the rectangle. We can find it using Pythagoras theorem as follows :
[tex]d=\sqrt{65^2+72^2} \\\\d=97\ m[/tex]
So, 97 m of garland Hector will needed to reach from one corner of the ceiling to the opposite corner.
Hi I'm am doing order of operations and I cant find how to do this problom do you think you can help?
Answer:
108/-4
Step-by-step explanation:
Answer:
the answer is -17 because 7×9= 63. 63+5=68. 10-14=-4. 68÷-4=-17
what is the square root of 1225,1764,11025
35, 42, 105 respectively
Answer:
32, 42, 105
Step-by-step explanation:
(32)^2 = 32×32
= 1225
(42)^2 = 42×42
= 1764
(105)^2 = 105×105
=11025
Jayden begins with 25 cups with soil at the greenhouse. Each day he will fill 5 cups more. Write an algebraic expression to represent the number of cups he will have after n days.
Answer:
Total no. of cups = 25+5n
Step-by-step explanation:
Given that,
Jayden begins with 25 cups with soil at the greenhouse.
Each day he will fill 5 cups more.
We need to find an algebraic expression to represent the number of cups he will have after n days.
Here, 5 cups increases with number of days and 25 cups remain fix.
Total number of cups after n days = 25 + 5n
Hence, the required answer is "25+5n".
10 POINTS!!!!
do the question in the image
Answer:
4x+3=27
Step-by-step explanation:
So there are 4 x so the first part of the 3quation should be 4x then you have 3 so you add three. Your equation should now be 4x+3, and then the sum of all that should equal 27. So therefore the equation is 4x+3=27
how did you solve 60 times 400
Answer:
24000
Step-by-step explanation:
You just multiply 60 times 400
=24000
Answer:
24,000
Step-by-step explanation:
trick: multiply 6 x 4 = 24 count the zeros (3 zeros) add the amount of zeros to the end of the number being 24 giving you 24,000
a photocopier can make 20 copies per minute. which equation can be used to find m, the number of minutes the copier takes to make 75 copies
a. 20m = 75
b. 75m = 20
c. m/20 = 75
d. 20/m = 75
Answer:
It's Option'A' i.e 20m=75
Step-by-step explanation:
or,m=75/20
or,m=3.75
5 cm 2 cm 2 cm 5 cm What is the perimeter of the shape?
Answer:
14 cm
All you have to do is add the four sides up and you're good to go! :)
Answer:
The answer is 14
Step-by-step explanation:
perimeter - means to add . You add all the sides
area - means multiplication . You multiply the two numbers on the bottom so for an example is this was area the answer would've been (A-10)
I give up this is my last try for help
help me! pleaseeeeeeeeeeeeeeeeee
Answer:
20 weeks
Step-by-step explanation:
If 20 kilograms of paper have already been recycled, and the goal is 40 kilograms, subtract the 20 kg from the 40 kg. You are left with a remaining 20 kg to recycle. If the new plan has the office recycling 1 kg a week, mulitply that by 20 kg to get 20 weeks.
It will take the office 20 weeks to reach the total 40 kg of recycled paper.
Annie buys a surfboard online for $ 44. If shipping and handling are an additional 20% of the price, how much shipping and handling will Annie pay?
PLSSSSSSSSSSSSSSSSSSSSSSSSSS HELP BRAINLEST
Answer:
Annie buys a surfboard online for $ 44. The shipping and handling are an additional 20% of the original price.
Amount of money she will pay for shipping and handling is
[tex]20\% \: of \: \$44 \\ \frac{20}{100} \times 44 = \frac{1}{5} \times 44 = \boxed{\$8.8}[/tex]
She should pay $8.8 for the shipping and handling.
The average rate of change for the function below is f(x)=x2−6x+8 when x2=1 and x1=3
Answer:
ye
Step-by-step explanation:
sorry!
. Johnny says that 6 3/8 converted to a decimal is 6.392. Is Johnny correct?
Justify your answer. and show your work please! get 100 points if you get it right!
Let's check
3/8=3×125/8×125=375/1000=0.375So
6-3/86+3/86+0.3756.375Hence he is wrong
Can anyone help me please?
Answer:
area= 50.2654825
dssssss
Answer:
48 if pi is equal to 3
50.48 if pi is equal to 3.14
Step-by-step explanation:
Graph the following equation.
y = 3x + 4
Pls AWNSER this one question thanks!
9514 1404 393
Answer:
2) y = kx
Step-by-step explanation:
Direct variation is described by the formula ...
y = kx
where 'k' is the constant of proportionality.
HELP PLEASE!! SOLVE FOR "X"
Answer:
[tex]x=\frac{c^2y^2}{4}[/tex]
Step-by-step explanation:
[tex]\frac{2\sqrt{x}}{c}=y\\\\2\sqrt{x}=cy\\\\\sqrt{x}=\frac{cy}{2}\\\\x=\frac{c^2y^2}{2^2}\\\\x=\frac{cy}{4}[/tex]
Answer:
c²y²
x = ----------
4
Step-by-step explanation:
Let's isolate √x: Multiply both sides of this equation by c/2. We get:
c*y
√x = ---------
2
To find an expression for x, square both sides of this result:
cy
x = {------ }²
2
This is equivalent to:
c²y²
x = ----------
4
Ray paid $46.25 for 8.75 gallons of gas. What is the unit rate of gas in dollars, per gallon ?
Answer:
$5.28571429 per gallon
Step-by-step explanation:
$46.25 divided by 8.75
You can round this 5.3 or 5.29.
Answer:
[tex]\frac{46.25}{8.75}[/tex]= $5.28/gallon
Step-by-step explanation:
Mary has a \large 16\frac{1}{2} ounce bag of chocolate chips. She will only use \large \frac{1}{4} of the bag for decorating a cake. How many ounces will she use for decorating
Answer:
4 1/8 ounces
Step-by-step explanation:
Total bag of chocolate chips Mary has = 16 1/2 ounces
She will only use 1/4 of the bag for decorating a cake.
How many ounces will she use for decorating
Ounces used in decoration = 1/4 of 16 1/2
= 1/4 × 33/2
= (1*33)/(4*2)
= 33/8
= 4 1/8 ounces of chocolate chips
She will use 4 1/8 ounces of chocolate chips for decorating a cake
Ulian pays $120 for soccer shoes that are on sale for 20% off from a specialty store. At a discount store, the same shoes cost $42 less than they cost at the specialty store. They are on sale for 61% off. Complete the proportions below. Highlight in yellow the sale price of the shoes at the discount store. Highlight in orange the original price of the shoes at the discount store.
Answer:
Sales price = $78
Original price = $61
Step-by-step explanation:
Ulian bought the shows for $120 at a specialty store. This discount store had it at $42 less. The price at the discount store is therefore:
= 120 - 42
= $78
The shoes at the discount store are 61% off and the discounted price is $78. Assume the original price is x. The original price will be:
x - (x * 61%) = 78
x - 0.61x = 78
0.39x = 78
x = 78/0.39
x = $200
The length of one leg of an isosceles right triangle is 7 units. What is the length of the hypotenuse?