4. basically just multiplied both of them by 2.
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
the area of a circle is 173 square inches. find the radius
R = 7.42 inches
Have a Merry Christmas!
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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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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The cost of interest of a $3.000 loan at 12% interest per year is $1003.80.
What is the term length for this loan in years?
Answer:
0.36
Step-by-step explanation:
An airplane travels at 300 mph in the direction S 45° E. What is the component form of the velocity vector?
(150 StartRoot 2 EndRoot, 150 StartRoot 2 EndRoot)
(150 StartRoot 2 EndRoot, negative 150 StartRoot 2 EndRoot)
(negative 150 StartRoot 2 EndRoot, 150 StartRoot 2 EndRoot)
(negative 150 StartRoot 2 EndRoot, negative 150 StartRoot 2 EndRoot)
Answer:ITS NOT D
Step-by-step explanation:
The component form of the velocity vector of the airplane is 150√2 mph.
What is a velocity vector?The pace at which an object's position changes is represented by a velocity vector. A velocity vector's magnitude indicates an object's speed, whereas the vector's direction indicates its direction.
The velocity vector is calculated as:-
[tex]\widehat{V}[/tex] = Vcos45
[tex]\widehat{V}[/tex] = 300 x ( 1 / √2 )
[tex]\widehat{V}[/tex] = ( 2 x 150 ) / √2
[tex]\widehat{V}[/tex] = 150√2 mph
Hence, the velocity vector of the airplane is 150√2 mph.
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4.7g + 2 = 2.7g + 12
Answer:
g=5
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.
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
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:
Step 1: Gather materials and necessary information. a) You will collect information about a used car of your choice and a loan. • Search for a used car you think you would like to buy someday using an Internet search engine for “used cars for sale.” The car cannot be more than $15,000. o Save a picture of the car. o Record the price, mileage, year, make, model, and location of where to buy the car. • Search for loan options with a bank and a credit union of your choice. For both options find. o APR o Restrictions on the loan options o Additional fees o Finance charges o Repayment periods b) Be sure to keep a list of your references so you can cite them later.
Answer:
If your car companylikelihood that you could go in for the auto insurance not a ... Make sure you are find that your vehicle to get coveragetrade and needs ... You know you're getting the car is in place a lien holder information judgebe filed. ... If your family has more discount they cannot use their cards a bad driver category.
Step-by-step explanation:
We also offer auto leasing, car financing, Chevrolet auto repair service, and Chevrolet ... Time to come see your Service Team at Augusta Master Chevrolet Cadillac. ... As a top Chevy auto dealer in Aiken SC, we want to tell you more about why the ... But, we may have seen a sneak peek of what's to come with the Silverado ...
which one doesn’t belong?
Answer:
Thats the FSA ummmm-
Step-by-step explanation:
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:
Is the relation shown in the arrow diagram a function? Justify your answer.
Alternative text
Yes. The input 0.8 and 0.4 have only one output.
Yes. Each output has only one input.
No. Each input has only one output.
No. The input 1.2 has 2 outputs.
Answer:
No. The input 1.2 has 2 outputs.
Step-by-step explanation:
See attachment for complete question
The first circle represents the domain while the second represents the range of the function.
For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.
One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.
Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function
However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).
Hence, this does not represent a function.
What is the image of the point (1,8)(1,8) after a rotation of 180 counterclockwise about the origin?
Answer:
(- 1, - 8 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , thus
(1, 8 ) → (- 1, - 8 )
A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?
Answer:
-10 points
Step-by-step explanation:
A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?
Let us say Initial number of points = 0
Hence,
He answers 2 incorrectly = 0 - 50 - 50
= -100
He answers 3 correctly =-100 + 30 + 30 + 30
His final score = -100 + 30 + 30 + 30
= -10 points
[tex]\frac{p+9}{5} =r,for (p)[/tex]
Answer:
P = 5r + 9
Step-by-step explanation:
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:
Which pair of polygons is congruent 1 and 2 3 and 4 3and 5 and 1 and 4
Answer:
i needa pic so i can answer it lol
Step-by-step explanation:
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
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
can anyone help me please I'm not good at math:(
Answer:c
Step-by-step explanation:
write point slope
can someone help me with this plz
will mark brainliest and 20 points
Answer:Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
Step-by-step explanation:
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
1704000000 in scientific notation
Answer: 1.704 x 10^9
Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
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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In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below SHOW
the number of feet that the top of the bridge was above the water versus the amount of minutes that the drawbridge
was open.
40
30+
Feet Above Water
20
10
1
2
3
Minutes
The city's engineer noticed that the bridge is not opening and closing at the same rate and wanted to determine the
rate of change over these intervals. Complete the table to determine the rate of change or the drawbridge (in feet per
minute) at each of the specified intervals.
Answer:
Between 0 and 1 minute: 25
Between 1 and 2 minutes: 0
Between 2 and 4 minutes: -25
Step-by-step explanation:
Notice the changes in the table and how the line increases, stays constant, and decreases.
Bookstore is having a sale. Every book is 25% off. How much would you pay for a book that cost $26?
Answer:
$19.50
Step-by-step explanation:
(26÷100)75=19.50
solve for X !
answer quickly please
Find m∠A in ABC if m∠B = 38° and m∠C = 38°
Answer:
∠A = 104
Step-by-step explanation:
Triangles are equal to 180° so if one angle is 38° and the other angel is equal to 38°, then the third angle must make each of those angles add up to 180.
If you add 38 + 38 and subtract the sum from 180 you will get the measurement of angle A
(38 + 38) - 180 = 104