[tex] {32}^{2x} = 16 ^{2x + 8} \\ = > {2}^{5(2x)} = {2}^{4(2x + 8)} \\ = > {2}^{10x} = {2}^{8x + 32} \\ = > 10x = 8x + 32 \\ = > 10x - 8x = 32 \\ = > 2x = 32 \\ = > x = \frac{32}{2} \\ = > x = 16[/tex]
Answer:
x = 16
Hope you could get an idea from here.
Doubt clarification - use comment section.
Which inequality represents the graph? x ≥ (y + 3)2 + 1 x ≤ (y + 3)2 + 1 x ≥ (y – 3)2 + 1 x ≤ (y – 3)2 + 1
The graph of each of the inequalities are created using a graphing tool as follows;
Graph 1; x ≥ (y + 3)² + 1
The domain = 1 ≤ x ≤ ∞
The range = -∞ < y < ∞
Graph 2; x ≤ (y + 3)² + 1
The domain = -∞ ≤ x ≤ ∞
The range = -∞ < y < ∞
Graph 3; x ≥ (y - 3)² + 1
The domain = 1 ≤ x ≤ ∞
The range = -∞ < y < ∞
Graph 4; x ≤ (y - 3)² + 1
The domain = -∞ ≤ x ≤ ∞
The range = -∞ < y < ∞
Learn more about graph of inequalities here:
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Answer:
c or x ≥ (y-3)^2+1
Step-by-step explanation:
Help me please I would really apparated it thanks.
Expand using identities:
(i) (2x- 5y)²
(ii) (11a + 2) (11a – 2)
(iii) (7m + 3) (7m + 3)
Answer:
Step-by-step explanation:
(2x-5y)^2
(2x-5y)(2x-5y)
4x^2-10xy-10xy+25y^2
4x^2-20xy+25y^2
------------------------------
(11a+2)(11a-2)
121a^2+22a-22a-4
121a^2-4
------------------------------
(7m+3)(7m+3)
49m^2+21m+21m+9
49m^2+42m+9
What is the greatest common factor shared by 40 and 20?
Answer here
SUBMIT
Answer:
20
Step-by-step explanation:
factors of 20 = 1 2 4 5 10 20
factors of 40 = 1 2 4 5 8 20 10
therefore 20 is the greatest common
Consider the expression 20-(4^2/2). How many terms does the expression have?
Answer:
huh
Step-by-step explanation:
Need help asap please !!!
Slope = change in y / change in x
Slope = (2-1)/(3 - -1)
Slope = 1/4
A plane is flying at an elevation of 21000 feet. It is within sight of the airport and the pilot finds that the angle of depression to the airport is 17 ∘ . Find the distance between the plane and the airport. Find the distance between a point on the ground directly below the plane and the airport.
Answer:
Answer:x=79,202.77 ft
Which costs the least per can, a 24 pack of cola for 5.52,a 12 pack of cola for 2.64 or a 6 pack of cola for 1.35
Answer:
It would be the 12 pack of cola for 2.64
Step-by-step explanation:
2.64/12 = 0.22
5.52/24 = 0.23
1.35/6 = 0.225
Round 0.225 = 0.23
#13) Mrs. Frye says that the following triangles are congruent. Is she correct? Why or why not?
Answer: The following triangles are congruent.
I want a way to solve this question
Answer:
Step-by-step explanation:
[tex]cos~L=\frac{m^2+n^2-l^2}{2mn} \\=\frac{5^2+8^2-7^2}{2*5*8} \\=\frac{25+64-49}{80} \\=\frac{40}{80} \\=\frac{1}{2} \\=cos 60\\[/tex]
∠L=60°
what are the first 6 numbers of pi
Step-by-step explanation:
3.141592653............
Determine which of the values is a solution of 4t + 6 less thank or equal to 10.
Answer:
Can you put the screen more closer to the values
Step-by-step explanation:
Or you could type in the values so i can see.
Aline that includes the point 5. 10) has a siope of 1. What is its equation in siope-intercept
te your answer using integers, proper fractions, and improper fractions in simplest for
Step-by-step explanation:
a lot of typos in the problem description.
if I understand correctly, the line contains the point (5, 10) and has a slope of 1.
and we need to give the line equation in slope-intercept form.
that means it has to look like
y = ax + b
a is the slope and b is the y-intercept (hence the name of the form).
we know a = 1.
we can use use the point-slope form to start and then transform it into the slope-intercept form.
point-slope means
y - y1 = a(x - x1)
a is again the slope, and (x1, y1) is a point on the line.
so,
y - 10 = 1(x - 5) = x - 5
now we transform it (adding 10 on both sides)
y = x + 5
and that's it.
What is the answer to this : Simplify 4 4128
Answer:
1032/1
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 4128 and 4 is 4
Divide both the numerator and denominator by the GCD
4128 ÷ 4
4 ÷ 4
Reduced fraction:
1032
1
Therefore, 4128/4 simplified to lowest terms is 1032/1.
A decrease in the amount of principal owed on a loan is called what?
A. Note reduction
B. Amortization
C. Payment number
D. Unpaid balance
SUBMIT
The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases.
the correct answer is B. Amortization.
A decrease in the amount of principal owed on a loan is called amortization.
Amortization refers to the gradual reduction of the principal balance of a loan over time through regular payments. When you make payments on a loan, a portion of the payment goes towards paying off the principal amount borrowed, while another portion goes towards paying the interest charged on the loan.
The process of amortization involves dividing the total loan amount into equal installments or payments over a specified period. With each payment made, a portion goes towards reducing the principal balance. As a result, the outstanding principal decreases over time, leading to the eventual repayment of the entire loan.
Amortization is a common feature in installment loans, such as mortgages, car loans, and personal loans. It allows borrowers to repay the loan gradually rather than in a lump sum, making it more manageable and affordable.
The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases. This means that over time, a larger portion of each payment goes towards paying off the principal, helping the borrower build equity and ultimately fully repay the loan.
Therefore, the correct answer is B. Amortization.
for more such question on interest visit
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need help solving this
Answer:
x = (√21)/2
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. That means the middle-length side is (√3)/2 times the length of the longest side.
x = (√3)/2·√7
[tex]\boxed{x=\dfrac{\sqrt{21}}{2}}[/tex]
The amount of milk in a carton is modeled by the equation y = 64 - 4x. The number of ounces of milk left
is represented by y. The number of servings of milk poured from the carton is represented by x.
4.) How many ounces of milk are in an unopened carton?
5.) How many ounces of milk are in each serving?
Answer:
-Below.
Step-by-step explanation:
4) When the carton is unopened the number of servings x = 0.
So there are 64-4(0) = 64 ounces in an unopened carton.
5) When all the milk has been poured out no. ounces left (y) = 0 so
64 - 4x = 0
4x = 64
x = 16
So each serving contains 16 ounces of milk.
Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain) HELP
Answer:
Agree
Step-by-step explanation:
Just copy and paste (without quotations): "I agree because r < -5 is just a flipped inequality of -5 > r. In other words, 'r is less than -5' is the same as '-5 is greater than r'."
Mrs. Heath baked 56 cookies. She put an equal number of cookies into 7 bags. How many cookies did she put in each bag?
Answer:
8
Step-by-step explanation:
you have to divide 56 by 7 and you will get 8.
Answer:
8
Step-by-step explanation:
You're dividing the 56 cookies into 7 bags, so you write 56 ÷ 7 = 8
sushi is a food peculiar to which country
Answer:
The concept of sushi was introduced to Japan
A bottle rocket takes off with a speed of 13 m/s and is angled 55 degrees above the horizon. What is the Y component of the velocity ?
Step-by-step explanation:
Let the speed of bottle rocket be u and angle with horizon be A.
Then,
u= 13m/s
A= 55°
Now,
we know that,
x- component,
X= 13 cosA
Y-component,
Y = 13 sinA
=13×0.81915
=10.649 m/s ANS
Please solve the question on the file.
Answer:
Step-by-step explanation:
they arent similar because the ratio of 8 to 14 and 10 to 18 arent the same.
An ice cream stand uses the expression to determine the cost (in dollars) of an ice cream cone that has scoops of ice cream.2 + 0.5x2+0. 5x2, plus, 0, dot, 5, xxxx
How much does an ice cream cone with scoops cost?55
Answer:
answer: 0
Step-by-step explanation:
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
(x+4)•(x-1)
——————————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
(x+4) • (x-1) = 0
7.2 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
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
simple form
x = 1
x = -4
more help... please... I'm very stuck
Pls confirm if right. If not pls help. Thx!
Answer:
yes you are correct
Step-by-step explanation:
Last year's computer models are discounted 20%. What was the original price to the nearest dollar of a computer that now costs $1,480?
Answer:
$1850Step-by-step explanation:
If the Original price was $ X , Then[tex]x - 0.20x \: = 1480[/tex]
[tex]0.8x = 1480[/tex]
[tex]x = 1480 \div 0.8[/tex]
So , X = 1850 dollars .Hope this helps you !!!I'm not sure if this is correct, but I got this
Last year’s computer models are discounted 20%. If a computer is on sale for $1,480, what is the original price of the computer rounded to the nearest dollar?
20% = 0.2
1,480 x 0.2 = 296
1,480 + 296 = 1,776
Answer: 1,776
Again, I don't know if this is correct, so don't be 100% sure with my response.
last week, dave predicted his weight at his physical would be 164 lbs. At the doctor’s his actual weight was 175 lbs. what was the percent of error in Dave’s estimate?
Answer:
[tex]6.29\%[/tex]
Step-by-step explanation:
[tex]\frac{175-164}{175}*100\%[/tex]
[tex]\frac{11}{175}*100\%[/tex]
[tex]0.0629*100\%[/tex]
[tex]6.29\%[/tex]
Which coordinate grid shows Point A at (0.50, −1.25)?
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 5 grid lines to the left of the y-axis and 2 grid lines above the x-axis.
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 5 grid lines to the right of the y-axis and 2 grid lines below the x-axis.
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 2 grid lines to the left of the y-axis and 5 grid lines above the x-axis.
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 2 grid lines to the right of the y-axis and 5 grid lines below the x-axis.
Answer:
The last option is the correct one
Step-by-step explanation:
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 2 grid lines to the right of the y-axis and 5 grid lines below the x-axis.
2(¼) = 0.5
5(-¼) = - 1.25
Answer: i think is A is i am doing the same test if i am wrong please tell me
Step-by-step explanation:
Waluigi's Towing Service charges $38.51 for its hook-up fee plus $35.21 for every mile, m, they tow your car. The equation that models the total cost (T) is T(m) = 35.21m + 38.51. Which value in the equation represents the rate of change?
A .. The number of miles towed
B .. $38.51
C .. $35.21
D .. $73.72
Answer:
c 35.21
Step-by-step explanation:
rate of change is=to slope
in y=mx+b
m is slope(rate of change)
x the variable such as miles
b is y intercept
How many 3/5 s are in 5?
Answer:
none , its 2 2/5
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
it will be 3 because 4 3/5`s is 2 and 2/5 and 3 3/5`s is 1 and 4/5 hope that helped your question.