[ 13^(2x + 1) - 5 × 169^x ] ÷ [ 9 × 169^x ] =
Expanding 1 from 13^(2x + 1 )
[ 13 × 13^(2x) - 5 × 169^x ] ÷ [ 9 × 169^x ] =
13 goes to the power of 2
[ 13 × 169^x - 5 × 169^x ] ÷ [ 9 × 169^x ] =
Factorize 169^x from both parts
[ ( 169^x ) × ( 13 - 5 ) ] ÷ [ ( 169^x ) × 9 ] =
Simplify 169^x
[ 1 × ( 13 - 5 ) ] ÷ [ 1 × 9 ] =
[ 13 - 5 ] ÷ [ 9 ] =
[ 8 ] ÷ [ 9 ] =
8 / 9
what is the algebraic expression of the difference of 4 times a and b?
Answer:
4(a+b)
Step-by-step explanation:
Anyone wanna help me
Answer:
w^2 -18w + 81
Step-by-step explanation:
Simply, what we have to do here is to divide the coefficient of w by 2, then square it
we have this as -18/2 = -9
Squaring is -9^2 = 81
help me on this question
Answer:
x = 8
Step-by-step explanation:
It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.
30 ÷ 25 = 1.2
Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;
1.2 (35) = 4x + 10
Simplify,
42 = 4x + 10
Inverse operations,
42 = 4x + 10
32 = 4x
8 = x
Answer:
Step-by-step explanation:
Use proportions to solve this and the similarity from smaller side to corresponding larger side:
[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:
1050 = 25(4x + 10) and
1050 = 100x + 250 and
800 = 100x so
x = 8
May you help me with this❤️
Answer:
9.50x+130 > 700
Step-by-step explanation:
Answer:
9.50x+130> 700 I believe is the right answer.
Step-by-step explanation:
You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.
x equals how may hours
9.50x + 130 > 700
the function f(x) is graphed below. if f(n)=0 what is the value of n?
Answer:
n = 6
Step-by-step explanation:
f(n) = 0 is on the n- axis at (6, 0 )
When f(n) = 0 then n = 6
When the log (of the same base) is the outermost step on both sides of the equation, the logs ___.
1. are added
2. are divided
3. are subtracted
4. cancel out
5. are multiplied
Answer:
cancel out
Step-by-step explanation:
Evaluate the expression when x = 4 and y = 5.
3x2 + 4yº.x-1
Answer:
49
Step-by-step explanation:
Plug in 4 for x and 5 for y
[tex]3x^{2}+4y^{0}*4^{-1} \\3*4^{2} +4*5^{0}*4^{-1} \\3*16+4*5^{0}*4^{-1} \\[/tex]
Please answer this math question please and fast
Answer:
its do9ne
Step-by-step explanation:
Answer:
its the one next to the yellow one. hope it helps.
Step-by-step explanation:
A parallelogram has a base of 9 km and a height of 5 km. A triangle has a base of 6 km and a height of 3 km. How many times greater is the area of the triangle?
Answer:
Parallelogram has greater area.
Step-by-step explanation:
Given:
Base of parallelogram = 9 km
Height of parallelogram = 5 km
Base of triangle = 6 km
Height of triangle = 3 km
Find:
Greater area
Computation:
Area of parallelogram = Base x Height
Area of parallelogram = 9 x 5
Area of parallelogram = 45 km²
Area of triangle = (1/2)(b)(h)
Area of triangle = (1/2)(6)(3)
Area of triangle = (1/2)(18)
Area of triangle = 9 km²
Parallelogram has greater area.
Find the measures of the interior angles of the triangle
Answer:
45°, 110° & 25°
Step-by-step explanation:
We know,
x + 25° + x +65° = 180° (∵Sum of all interior angles of a triangle is 180)
or, 2x + 90 = 180°
or, 2x = 90°
∴ x = 45°
Now,
∡A = x° = 45°
∡B = x +65° = 45° + 65° = 110°
In the right triangle shown, m A = 30° and AB = 12V3.
х
B
30
123
A
How long is AC?
Answer:
∴[tex]Cos A=\frac{AC}{AB}[/tex]
➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]
➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]
➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]
➛ [tex]x=18[/tex] ✓
➛[tex]AC=18[/tex] ✓
----------------------
hope it helps...
have a great day!!
Pls help due in a few min
Answer:
3 and 5 show how to convert 18 inches into yards
Answer:
Numer 3 and number 5.
.. Solve using substitution.
2x - 5y = 12
x = -9
Answer:
2x–5y = 12
2(–9)–5y = 12
–18–5y=12
–5y=12+18
–5y=30
y= –30/5
y= – 6
(x,y) —> (–9,–6)
Mr. McGregor has plowed a square plot of land to make a garden. The area of the square garden is 256 ft. To the 2nd power
What is the length of one side of the garden?
Answers:
16 ft
32ft
64ft
128ft
Answer:
16 ft
Step-by-step explanation:
Area = Side^2 = (s)^2 = 256, Side = 16.
So, 16 ft.
Mark this as Brainliest if this was correct! I really appreciate it! :D
Answer:
16ft
Step-by-step explanation:
can someone tell me if i'm correct or not
you are correct
Step-by-step explanation:
mark me as a brainlist
can somebody help me pleaseeee, this is due at the end of the day! no links please!
Answer:
You can tell that y=2 when x=4 by looking at the graph
Answer:
y = 2
Step-by-step explanation:
The equation is y = -x+6
Substituting 'x = 4' into this
y = -4+6
Hence, y = 2 when x =4
Feel free to mark this as brainliest :D
If using the method of completing the square to solve the quadratic equation x^2+5x+10=0x 2 +5x+10=0, which number would have to be added to "complete the square"?
Answer:
(5/2)² must be added to the equation to complete the square.
Step-by-step explanation:
The given equation is
x^2+5x+10=0
writing it in in square form
(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0
We multiply (5/2) to the mid term because we have to make 2x equal to 5x.
As the square formula tells that square of first element plus 2 into first element multiplied by second element plus square of second element.
Making 2x equal to 5x gives (5/2) as the second element.
Therefore add square of the second element but also subtract square of second element to make it equal to the given original equation.
Now we can solve it.
(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0
(x + 5/2)²-(5/2)² + 10= 0
(x + 5/2)²- 25/4+ 10= 0
(x + 5/2)²- 25*5 +10*5/4*5= 0
(x + 5/2)²- 125+50/20= 0
(x + 5/2)²- 175/20= 0
(x + 5/2)²= 175/20
Help me find the mean mode range median
Answer:
Mean=2.53
median=2
mode=2
range=3
Step-by-step explanation:
1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4
MEAN
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
38/15=2.53
MEDIAN
Arrange data values from lowest to the highest value
The median is the data value in the middle of the set
If there are 2 data values in the middle the median is the mean of those 2 values.
MODE
Mode is the value or values in the data set that occur most frequently.
RANGE
18-15=3
On a set of blueprints for a new home, the contractor has established a scale that states ½ inch = 10 feet.
If the den has dimensions of 0.6 inch by 0.75 inch on the blueprints, what will be the dimensions of the actual den after the house is built?
*For this answer PLEASE answer with the number of feet by the number of feet
*Example: 16 feet by 20 feet OR 16 ft by 20 ft. You can use a decimal if it terminates
Answer:
12 ft by 15 ft
Step-by-step explanation:
set up a proportion of inches over feet equals inches over feet:
.5/10 = .6/x
cross-multiply to get:
.5x = 6
x = 12
.5/10 = .75/y
cross-multiply to get:
.5y = 7.5
y = 15
Please help me for my cousin
find the slope for me please (2, -5) (7, -5)
Answer:
slope=y2-y1/x2-x1
=-5+5/7-2
=0/5
=0
Step-by-step explanation:
Kai cuts out all the page numbers of a b\ook. He takes each number and cuts the numbers into separate digits (single digit numbers are already separate). Given that the book has 999 pages numbered 1 through 999, how many separate digits does Kai have when he is finished
Answer:
2,889 digits
Step-by-step explanation:
Total pages of the book = 999 pages
Page 1 - 9 cut separately = 9 digits
Page 10 - 99 = 90 pages
Total digits = 2(90)
= 180 digits cut separately
Page 100 - 999 = 900 pages
Total digits = 3(900)
= 2,700 digits cut separately
how many separate digits does Kai have when he is finished
Total separate digits Kai have when he is finished = 9 digits + 180 digits + 2700 digits
= 2,889 digits
Total separate digits Kai have when he is finished = 2,889 digits
A ship is sighted from the top of a lighthouse. The angle of depression from the lighthouse to the ship is 45degrees. The distance from the top of the lighthouse directly to the ship is 4miles.Calculate the horizontal distance of the ship from the bottom of the lighthouse
Answer:
[tex]2\sqrt{2} \text{ mi}[/tex]
Step-by-step explanation:
See the attached image for a picture of the situation. The angle of depression lets you find the angle next to it but inside the triangle. It, too, must measure 45 degrees.
That means the triangle is an isosceles triangle (two legs of equal length).
Apply the Pythagorean Theorem.
[tex]x^2+x^2=4^2\\2x^2=16\\x^2=18\\x=\sqrt{8}=2\sqrt{2}\approx 2.83\text{ mi}[/tex]
Round answers to the nearest tenth if necessary.
1. the measure of arc JI is ?? degrees
2. the measure of arc IJH is ?? degrees
3. the measure of angle IKH is ?? degrees
Answer:
a) mJI = m∠JKI = 125°, same measure as central angleb) mIJH = 360° - (180° - 125°) = 305°, same as central angle ∠IJHc) m∠IKH = 180° - 125° = 55°, supplementary with ∠JKI=-= 50 Points =-= Must give the correct answer
Solve by equating exponents and using the Equality of Bases Property.
Solve (2)^x/2 = 16 for x
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
HELP! ILL MARK YOU BRAINLY OR WHATEVER ITS CALLED
Answer:
For #7, the answer is 30.3 yd
For #8, the answer is 32.34 in
For #9, the answer is 56.26 ft
Explanation: The formula for an area of a parallelogram is ( A=bh)
Hope that helped!!
Reflect the vector (-3,5) across
the line y=x.
Answer:
(5, - 3 )
Step-by-step explanation:
Under a refection in the line y = x
a point x, y ) → (y, x ), then
(- 3, 5 ) → (5, - 3 )
The reflection vector is (5, -3) after reflecting over line y = x the answer is (5, -3).
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have:
The vector is (-3, 5)
The reflection line is y = x
The transformation rule:
(x, y) → (y, x)
(-3, 5) → (5, -3)
Thus, the reflection vector is (5, -3) after reflecting over line y = x the answer is (5, -3).
Learn more about the geometric transformation here:
brainly.com/question/16156895
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A spinner has 8 equal-sized sections. Six of the sections are green. What is the probability that the spinner will land on green?
_________ out of 8 or ________%
Answer:
6/8
Step-by-step explanation:
or to simplify it, it would be 3/4
The probability that the spinner will land on green is 6 out of 8 or 75%.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
Number of equal sections on the spinner = 8
Number of sections which are green = 6
Probability can be calculated as the ratio of number of desired outcomes to the total number of outcomes.
Here,
Desired outcome is the spinner landing on green.
Probability = 6/8 = 0.75 = 75%
Hence the probability is 6 out of 8 or 75%.
Learn more about Probability here :
https://brainly.com/question/29027275
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what is eight less than a number as an algebraic expression
Answer: n-8
Step-by-step explanation: n represents the unknown number. You need to subtract 8 from the number since "less than" is another phrase to describe subtraction.
I hope this helps, have a nice day.
PLS HELPP FIRST TO BE CORRECT WILL GIVE BRANLIEST!!
Answer:
Step-by-step explanation:
BaF2 + Na2S = 2 NaF + BaS