If log25 ~ 2.3219,
evaluate log280.
Answer:
You need to write log_2 80 in terms of log_2 5 , such that:
log_2 80 = log_2 (8*10)
Using the properties of logarithms, you need to convert the logarithm of product in summation of logarithms, such that:
log_2 (8*10)= log_2 8 + log_2 10
Since log_2 10 = log_2 (2*5) , yields:
log_2 (8*10)= log_2 8 + log_2 (2*5)
log_2 (8*10)= log_2 8 + log_2 2 + log_2 5
You need to write 8 as power of 2, such that:
log_2 (8*10) = log_2 (2^3) + log_2 2 + log_2 5
Using the power property of logarithms, log_a b^c = c*log_a b yields:
log_2 (8*10) = 3log_2 2 + log_2 2 + log_2 5
Since log_2 2 = 1 yields:
log_2 (8*10) = 3 + 1 + 2.3219
log_2 (8*10) = 4 + 2.3219 => log_2 (8*10) = 6.3219
Hence, evaluating the given logarithm , using the indicated properties of logarithms, yields log_2 (8*10) = 6.3219 .
Step-by-step explanation:
The value of [tex]log_2{80}[/tex] if [tex]log_25 = 2.3219[/tex] is 6.3219.
What is a logarithm?The logarithm is exponentiation's opposite function in mathematics.
This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.
Given, [tex]log_25 = 2.3219[/tex].
Now, To obtain the value of [tex]log_2{80}[/tex] we'll break it into suitable smaller parts.
Therefore,
[tex]log_2{80} = log_2({8\times10})[/tex].
[tex]log_2{80} = log_28 + log_210[/tex]
[tex]log_2{80} = log_28 + log_2({2\times5})[/tex].
[tex]log_2{80} = log_28 + log_22 + log_25[/tex].
[tex]log_2{80} = 3 + 1 + 2.3219[/tex].
[tex]log_2{80} = 6.3219[/tex].
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7. How many servings could you make if you had 3/4 cup of diced onion?
A. 4 servings
B. 15 servings
C. 9 servings
D. 12 servings
Answer:
D. 12 servings
Step-by-step explanation:
Normally, when working with fractions, I would like to make the denominators of both fractions the same.
[tex]\frac{1}{2}[/tex] cup diced onion --- 8 servings
[tex]\frac{2}{4}[/tex] cup diced onion --- 8 servings
[tex]\frac{3}{4}[/tex] cup diced onion --- [tex]\frac{3}{2}[/tex] × 8 servings = 12 servings
What is the y-intercept of -x + 4 = y? *
Answer:
4
Step-by-step explanation:
Im sure it is as y=mx +c c being the interceot and mx as the gradient
Answer:
(0,4)Step-by-step explanation:
WILL GIVE BRAINLIEST
Quadrilaterals PQRS and TUVW are similar
What is the value of b in yards?
O 0.5 yd
0 3.2 yd
O 12.5 yd
0 28.8 yd
Answer:
3.2
Step-by-step explanation:
depending on what W-T looks like it seems the best answer
♡ The Question ♡
Quadrilaterals PQRS and TUVW are similar.
What is the value of b in yards?
* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
3.2 yd!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
No Explanation/Step-By-Step provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No tips provided!
which one doesn’t belong?
Answer:
Thats the FSA ummmm-
Step-by-step explanation:
Which quadrilateral must have diagonals that are
congruent and perpendicular?
1) rhombus
2) square
3) trapezoid
4) parallelogram
Answer:
2) Square
hope this help
The quadrilateral must have diagonals that are congruent and perpendicular is Square.
What are quadrilaterals?A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.
According to the question
Properties of following for their diagonals are :
Rhombus :
In a rhombus, diagonals bisect each other at right angles.
Diagonals bisect the angles of a rhombus.
Square:
The diagonals of the square bisect each other at 90°
The two diagonals of the square are equal to each other.
Trapezoid:
The length of both the diagonals is equal.
The diagonals of a trapezium always intersect each other.
Parallelogram:
Each diagonal of a parallelogram separates it into two congruent triangles.
The diagonals of a parallelogram bisect each other.
Therefore, according to there properties for their diagonals condition
that quadrilateral must have diagonals that are congruent and perpendicular is satisfied by square only .
Hence, the quadrilateral must have diagonals that are congruent and perpendicular is Square.
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[tex]\frac{p+9}{5} =r,for (p)[/tex]
Answer:
P = 5r + 9
Step-by-step explanation:
write the equation of the line that passes through two points in slope intercept form (-8,1) and (2,-4)
Answer: Answer and explanation in pic
Step-by-step explanation:
You are selling candy bars for a fundraiser. you want to sell at least $200. If snickers cost $2 per bar and M&M's cost $3 per bag, then write an inequality that represents all the possible combinations you can sell to meet your goal.
Answer:
Step-by-step explanation:
Goal = > $2500
Amount raised = $700
Amount needed to raise = $2500 - 700 = $1800
Number of candy bars needed = x
Price of a candy bar = $1.50
1.5x > 1800
x > 1800 ÷ 1.5
x > 1200
Answer: They need to sell more than 1200 candy bars.
please help!
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(7, 1) (0, -3)
Find the x and y intercept of the line below
3x + 4y = 12
Answer: x intercept (4,0) y intercept (0,3)
Step-by-step explanation:
Billy is making a sign in the shape of a regular octagon. What is the measure of each interior angle of the sign?
O 45°
O 60°
O 120°
O 135°
Answer:
135°
Step-by-step explanation:
Interior angle= (n-2)/n ×180°
n= no. of sides
so,
putting the value of n which is 8
(8-6)/8 × 180
=135°
The measure of each interior angle of the sign is 135 degrees.
The correct option is D.
What is an interior angle?Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."
In a regular octagon, all the interior angles are equal.
The formula to find the measure of each interior angle of a regular polygon with n sides is:
measure of each interior angle = (n-2) x 180 / n
For an octagon, n = 8, so we can substitute this value into the formula and simplify:
measure of each interior angle = (8-2) x 180 / 8
measure of each interior angle = 6 x 180 / 8
the measure of each interior angle = 135 degrees
Therefore, the measure of each interior angle = 135 degrees.
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Complete the following sentence.
If x is to 9 as 8 is to 12, then x is equal to
.
Answer:
Srry im late
Step-by-step explanation:
what i miss
Hi there! Someone please help me with this question correctly :)
I’ll mark brainliest and give out points
Answer:
y=x+4
Step-by-step explanation:
So uh, i dont know how to explain, but fairly sure its y=x+4
David roller skates 33 miles in 2
3/4 hours. What is his average speed in
miles per hour?
Answer:
12 miles per hour
Step-by-step explanation:
What is the product of 7/10 and 3 2/3?
1 3/5
1 13/15
2 17/30
3 7/15
Two hundred wildebeests and 150 gazelles grazed on the savannah what was the ratio of gazells to wildebeests grazing on the savannah/
Answer:
150:200
Step-by-step explanation:
You can simplify it too. 3:4
A turtle walks of a mile in 40 minutes. What is the unit rate when the turtles speed is expressed in miles per hour (60 minutes)? (needs to be a denominator)
Answer:
1.5 miles per hour.
Step-by-step explanation: Because is a turtle walks a mile in 40 minutes then half of that is 20 or half a mile which that 40 minutes plus 20 minutes is 60 minutes.
In Triangle ABC, Segment AB is congruent to segment BC, and the measure of angle A is 39 degrees, what is the measure of angle C
Keesha has 12 glue bottles and 42 craft sticks.
What is the greatest number of supply bags
she can make if she puts an equal amount of
both in each bag?
Answer:
4 i believe
Step-by-step explanation:
(n+8)/5=(n-1)/2 what is n
Answer:
Step-by-step explanation:
n=7
why are the properties of equality important in solving equations?
Step-by-step explanation:
As equations get more complex it is important to use properties of equality to isolate the variable and solve the equation. Here are the properties of equality you need to isolate terms and solve equations. The Subtraction Property of Equality is used when you have an equation with addition in it
Determine the intercepts of the line.
x-intercept:
y-intercept:
Answer:
Y-intercept is 5.5 and the X-intercept is -7.5
Step-by-step explanation:
solve for X !
answer quickly please
the area of a circle is 173 square inches. find the radius
R = 7.42 inches
Have a Merry Christmas!
can anyone help me please I'm not good at math:(
Answer:c
Step-by-step explanation:
Which scatterplot BEST suggests a linear relationship between X and Y? URGENT!!!!!!!!!!!!!!! HELP PLEASE AND FAST!!!!!!
The scatterplot that best represent a linear relationship between the variables, X and Y, is: graph C.
What is a Linear Relationship?On a scatterplot, the trendline that shows a linear relationship between two variables will have a straight line pattern that either slopes up or down.
The scatter plot in graph C shows a trendline that slopes along a straight line. Therefore, the answer is C.
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May anyone help I’ll give 15 :)
Answer:
B. No. -6.5 is to the left of -6.3 on a number line. He should have switched the last two numbers.
Step-by-step explanation:
The solution of a+b>12 is a>−3. What is the value of b?
Answer:
we conclude that when we substitute b = 15, the solution of the inequality becomes:
[tex]a>-3[/tex]
Therefore, the value of b = 15.
The solution graph is also attached.
Step-by-step explanation:
Given the inequality expression
[tex]a+b>12[/tex]
Putting b = 15 in the inequality expression
[tex]a+b>12[/tex]
[tex]a+15>\:12[/tex]
subtract 15 from both sides
[tex]a+15-15>12-15[/tex]
simplify
[tex]a>-3[/tex]
Thus, we conclude that when we substitute b = 15, the solution of the inequality becomes:
[tex]a>-3[/tex]
Therefore, the value of b = 15.
The solution graph is also attached.
3. Which polynomial has a leading coefficient of 4 and a degree of 3?
1 . 3x4 - 2x2 + 4x - 7
2. 4x4 - 3x3 + 2x2
3 .4 + x - 4x2 + 5x
4. 2x + x2 + 4x3
Answer:
4
Step-by-step explanation: