[tex] - 3 log_{3}(x - 2) = - 25 \\ = > log_{3}(x - 2) = \frac{ - 25}{ - 3} \\ = > log_{3}(x - 2) = \frac{25}{3} \\ = > (x - 2) = ( \frac{25}{3} ) ^{3} \\ = > x - 2 = \frac{15625}{27} \\ = > x = \frac{15625}{27} + 2 \\ = > x = \frac{15625 + 54}{27} \\ = > x = \frac{15679}{27} \\ = > x = 5226.33[/tex]
Answer:
5226.33 (approximate value)
Hope you could get an idea from here.
Doubt clarification - use comment section.
= 7W + 5 + 6 is it a
Commutative property of addition, Commutative property of multiplication, Associative property of addition, Associative property of multiplication,
Distributive property.
Answer:
Associative property of addition
Step-by-step explanation:
A polygon is shown on the graph:
A polygon is shown on the coordinate plane. Vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3.
What effect will a translation 3 units down and 2 units left have on the polygon? Be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.
9514 1404 393
Answer:
angles, side lengths, and congruency are unaffected by translation: translated figures are congruent.
Step-by-step explanation:
The proposed transformation is ...
(x, y) ⇒ (x -2, y -3) . . . . . . translation 2 left and 3 down
Translation, rotation, and reflection are all "rigid" transformations. They do not affect any measure of a figure: angles, side lengths, area all remain the same after any of these transformations. The figure after any of these transformations, or any combination of them, is congruent to the original.
__
The attachment shows the original figure (brown) and the translated figure (red). The pre-image and the image are congruent.
Answer: goood answer
Step-by-step explanation:
3,008,907,008
What is the correct written form of this number.
Answer:
Three billion eight million nine-hundred seven thousand eight.
Step-by-step explanation:
Write out each of the numbers.
solve for completing the square x^2-12x+11=0
Answer:
x = 6 ± 5
Step-by-step explanation:
x² - 12x + 11 =0
x² - 12x = -11 Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)
x² - 12x +36 = -11 + 36 1/2(-12)² = 36
(x - 6)(x - 6) = 25
(x - 6)² = 25
[tex]\sqrt{(x-6)}[/tex]² = [tex]\sqrt{25}[/tex] square root of both side of the equation
x - 6 = ± 5 (5)² = 25 and (-5)² = 25
x = 6 ± 5
EASY WILL GIVE BRAINLIEST
Three postal workers can sort a stack of mail in 25 minutes, 45 minutes, and 225 minutes, respectively. Find how long it takes them to sort the mail if all three work together.
Answer:
I think the answer is 98?
Step-by-step explanation:
I added 225+45+25 and got 295. Next, I divided 295 by 3 and got 98. (sorry if I'm wrong.)
Three postal workers can sort a stack of mail in 25 minutes, 45 minutes, and 225 minutes, respectively. Time taken if all the three work together is 15min
What is Time?
Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.
The first worker can sort the stack in 25 minutes. So every minute that goes by,
he does 1/25 of the job.
The second employee completes 1/45 of the stack per minute,
While the third employee completes 1/225 of the task.
Minutes are represented by x, and I've set them all to 1 to indicate that a single stack was sorted.
x·1/25 + x·1/45 + x·1/225 = 1
To eliminate all fractions from the calculation, multiply each term by 225.
225x/25 + 225x/45 + 225x/225 = 225
9x + 5x + 1x = 225
15x = 225
x = 225 / 15
x = 15
Hence, It will take 15min to sort the mail if all three work together
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find the area of a square whose side length is (7a^2b^3)
The area of a square whose side length is (7a^2b^3) is 49a^4b^6
The formula for calculating the area of a square is expressed as:
A = L^2
L is the side length of the square
Given the following parameter
L = 7a^2b^3
Get the area of the square
A = (7a^2b^3)^2
A = 7^2 * a^4 * b^6
A = 49a^4b^6
Hence the area of a square whose side length is (7a^2b^3) is 49a^4b^6
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At a comic book convention vendor I was selling a set of 5 comics for $38.70.
Vendor 2 was selling a set of 4 comics for $30.76. Which vendor has the higher
unit price?
Answer:
Vendor I sells more by 0.05
Step-by-step explanation:
First, you do Vendor I, divide 38.70/5, which gives you $7.74.
Then, you go to Vendor 2, divide 30.76/4 and that makes the answer $7.69.
7.74 - 7.69 = 0.05
Vendor 1 has more then Vendor 2 by 5 cents.
please help ME I BEG YOU
Answer:
it is also 112°.
Step-by-step explanation:
mark me brainlist amswer.
Answer:
112°
Step-by-step explanation:
1. The angle with 112 degrees and angle x are corresponding angles, which mean they have the same relative position. Corresponding angles are congruent.
2. Given the information above, m∠x = 112°.
What is the slope of the line through (-9,-6) and (3,-9)
Answer:
-1/4
Step-by-step explanation:
y2 - y1 / x2 - x1
-9 - (-6) / 3 - (-9)
-3/12
= -1/4
please help me with this sum
Step-by-step explanation:
2667
1884
1953
782
2046
3105
8559
5368
963
3367
Answer:
381 x 7 = 2667
471 x 4 = 1884
651 x 3 = 1971
391 x 3 = 1173
341 x 6 = 2046
Hope its help full
Parallelogram BCDE with vertices B(2, -3), C(6,-4), D(7.-6), and E(3.-5):
a) 270° counterclockwise rotation about the point (1,-2)
b) translation along the vector (0,8)
a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).
b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and E''(3, 3).
Given that, parallelogram BCDE with vertices B(2, -3), C(6, -4), D(7, -6), and E(3, -5).
When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.
a) 270° counterclockwise rotation about the point (1,-2)
So, the new coordinates are
B(2, -3)→(1, -1)
C(6, -4)→(5, -2)
D(7, -6)→(6, -4)
E(3, -5)→(2, -3)
After 270° counterclockwise rotation, we get coordinates as
B(1, -1)→B'(-1, -1)
C(5, -2)→C'(-2, -5)
D(6, -4)→D'(-4, -6)
E(2, -3)→E'(-3, -2)
b) Translation along the vector (0,8)
B(2, -3)→B''(2, 5)
C(6, -4)→C''(6, 4)
D(7, -6)→D''(7, 2)
E(3, -5)→E''(3, 3)
Therefore,
a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).
b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and E''(3, 3).
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PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Number Relationships
Find the unknown number in the group to make related multiplication
and division sentences. Write the multiplication and division sentences.
4, ?,68
Answer:
17
Step-by-step explanation:
the unknown number needs to be a number that is associated with the minimum and maximum numbers. 17 is four times the minimum number plus 1 and 17 is four times the amount of. 17 to equate to 68.
a angle is measured in
What are the solutions of the quadratic equation
4x2 - 8x – 12 = 0 ?
A) x = -1 and x = -3
B) x = -1 and x = 3
C) x = 1 and x = -3
D) x = 1 and x = 3
Answer:
Step-by-step explanation:
4x2 - 8x -12 = 0
divide through by 4
x2 - 2x - 3 = 0
x2 - 3x + x - 3 = 0
(x2 - 3x) + (x - 3) = 0
x(x - 3) + 1(x - 3) = 0
(x + 1) (x - 3) = 0
x + 1 = 0 and x - 3 = 0
x = -1 and x = 3
Answer:
B IS THE ANSWER
Step-by-step explanat
(22x2 - 8x) - 12 = 0
4x2 - 8x - 12 = 4 • (x2 - 2x - 3)
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + 1 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1
x2 - 3x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-3)
Which is the desired factorization
4 • (x + 1) • (x - 3) = 0
A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
Any solution of term = 0 solves product = 0 as well.
Solve : x+1 = 0
Subtract 1 from both sides of the equation :
x = -1
Solve : x-3 = 0
Add 3 to both sides of the equation :
x = 3
Mrs. Gonzalez bought a puzzle for $10.95, a board game for $15.95, and a table lamp for $17.10. After tax, the total amount due was $46.86. What is the sales tax rate written as a percent? Round to the nearest tenth if necessary.
Answer:
6.5%
Step-by-step explanation:
15.95+10.95+17.10 = 44
46.86-44 = 2.86
2.86/44 = 0.065
0.065 = 6.5%
If a small boy in 30 days saved 1.00 to spend how much did he save each day
Answer:5 Penny's everyday for thirdy days
Step-by-step explanation:
I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Solve the following: 7y−20=3y+12
1: y= 3.2
2: y=8
2: y= -8
4: y= 28
Answer:
I think its y=8
Step-by-step explanation:
7y-20=3y+12
7y-3y=12+20
4y=32
y=32/4
y=8
Calvina Miller makes a car payment of $214.50 every month. Her car
loan is for 5 years. How much will she pay in 5 years?
Please help I’ll give brainliest
Answer:
ITS D GOOD LUCK WITH YOUR HMK
A circle has a diameter of 24 yd. What is its circumference?
A circle has a diameter of 24 yd. What is its circumference?
Answer:
75.4
Step-by-step explanation:
Answer: 75.4 yd
Step-by-step explanation:
Using the formulas
C = 2 π r
d = 2 r
Solving for C
C = π d = π x 24 = 75.39822 yd
75.39822 rounded up is 75.4 so the answer is 75.4 yd.
Jon has 32 trading cards. He
puts the cards into piles of 8 cards. How many piles
does he make?
Answer:
4
Step-by-step explanation:
Take the number of cards and divide by the number of cards to determine the number of piles
32/8
4
There are 4 piles
Answer:
4 piles
Step-by-step explanation:
32 ÷ 8 = 4
8 cards in a pile. 8, 16, 24 ,32.
help me i nedd help...........
Answer:
The answer is 10 12/85 Hope you pass!
I need help with this Compound Inequality.
6 (31 + 163 72)6 +2=
please help!
I can't solve for m, g, h, or k
Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered 12 vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by $6. The total came to $132.
Which equation can you use to find the amount, v, Festive Features normally charges for a vest?
Answer:
Step-by-step explanation:
mr candy man is making bags of candy to reward students in his class. a blue bag contains 7 pieces of candy while a red bag contains 13 pieces of candy. if he has 106 pieces of candy and wants to use them all how many red bags can he make?
(I need help with this asap)
in the given figure triangle abc is similar to triangle ADB write down the corresponding sides with their relation
[tex]\\ \sf\longmapsto ∆AED=∆ABO[/tex]
[tex]\\ \sf\longmapsto \dfrac{AE}{AB}=\dfrac{AD}{AO}[/tex]
[tex]\\ \sf\longmapsto \dfrac{AD}{AE}=\dfrac{AB}{AO}[/tex]
Explanation:
Given that
In ∆ ABC, DE is a line drawn on AB and AC
In ∆ ADE and ∆ ABC
∠ AED = ∠ ABC = 70°
∠ AED = ∠ BAC (Common vertex angle )
By AA similarity criteria
∆ ADE and ∆ ABC are similar triangles
⇛ ∆ ADE ~ ∆ ABC
We Know that
If two polygons of same number of sides are said to be similar,
If the corresponding angles are equal.
If the corresponding sides are in the same ratio or in proportion.
So, The corresponding angles are mist be in proportion
⇛ AD / DB = AE/EC
Key Knowledge:-
If two polygons of same number of sides are said to be similar, If the corresponding angles are equal.If the corresponding sides are in the same ratio or in proportion.Note :-
If DE || BC then by Basic Proportionality Theorem, AD / DB = AE/ECIf a line drawn parallel to one side of a triangle intersecting other two sides at two different points and the line divides the other sides in the same ratio.By which rule are these triangles congruent?
AAS
ASA
SAS
SSS
SSS
Two pairs of sides have already been marked congurent. The third side is shared by the two triangles, so it must be congruent with itself.
You have three congruent sides: SSS
