5^-2 * 5x = 1
Simplify:
5^-2 = 1/25
Now you have 1/25 * 5x = 1
1/25 x 5 = 1/5
1/5x = 1
Divide both sides by 1/5 ( when dividing by a fraction, flip the fraction over an multiply)
x - 1 x 5/1 = 5
X = 5
Answer:
x = 5
Step-by-step explanation:
This statement translates into 5^(-2)*5x = 1, which by rules of exponents simplifies to:
5x x
--------- = 1, or ----- = 1
5^2 5
Cross-multiplying, we get x = 5
When filled to capacity, the water in the aquarium water
tank reaches 32 feet. The water is currently reaching 24
feet. What percentage of the tank is full?
Answer:
75 %
Step-by-step explanation:
PLSSS HELP ME I DONT HAVE MUCH TIME
Answer:
- 12 and - 187
Step-by-step explanation:
To evaluate f(- 7) substitute x = - 7 into f(x)
f(- 7) = 2(- 7) + 2 = - 14 + 2 = - 12
Similarly for g(- 4)
g(- 4) = 3(- 4)³ + 5 = 3(- 64) + 5 = - 192 + 5 = - 187
answer plz answer plz
Answer:
C. [tex] 2 y^2 [/tex]
Step-by-step explanation:
[tex]( {3} \degree {y}^{2} ) \times \: 2(xy) \degree \\={3} \degree {y}^{2} \times \: 2\times x \degree\times y \degree \\=1 {y}^{2} \times \: 2\times 1\times 1 \\ = {y}^{2} \times 2 \\ = 2 {y}^{2} [/tex]
A container is 1/3 full pf water and 1/4 full of oil. What fraction of the container is empty?
Answer
IS 2/4
Step-by-step explanation:
1/3 = 4/12 1/4 = 3/12 4/12+3/12= 6/12 = 2/4
the trapezium is drawn on a centimetre grid
Answer:
21 cm²
Step-by-step explanation:
Applying,
A = (a+b)h/2............. Equation 1
Where A = area of the trapezium, a = length of the first parallel side, b = length of the second parallel side, h = height.
From the diagram
Given: a = 5 cm (5 grids), b = 9 cm (9 grids), h = 3 cm (3 grids)
Substitute these values into equation 1
A = 3(5+9)/2
A = 3(14)/2
A = 3×7
A = 21 cm²
The dolphin is 20 feet below the serface of the ocean.
Answer: we wont be able to answer if there is no fill out box
Step-by-step explanation:
Answer:
Can you complete the sentence?
Question 1
Given the functions f(x) = 2x + 1 and g(x) = 5x +4, find m(x) = f(x) - g(x)?
A
m(x) = 3x + 3
B
m(x) = -3x + 5
С
m(x) = -3x - 3
D
m(x) = 7x + 5
Given :
⊕ f(x) = 2x + 1
⊕ g(x) = 5x + 4
⊕ m(x) = f(x) - g(x)
⇒ m(x) = (2x + 1) - (5x + 4)
⇒ m(x) = 2x + 1 - 5x - 4
⇒ m(x) = -3x - 3
Answer : C
Malcolm planted two trees in his yard. One tree is 50 inches tall and grows
at a rate of 2 inches per month. The other tree is 59 inches tall and grows
at a rate of 1 inch per month. How many months will it take until both
trees are the same height?
BRAINIEST AND 15 POINTS HELP FAST!!!
In the square below, the two semi-circles are congruent. Find the area of the
shaded region. If necessary, round your answer to two decimal places.
Answer:
3.44.
Step-by-step explanation:
We can see that in this square, the radii of the semicircles are 2. Using that, we can calculate that the area of each one is 6.58. Both combined is 12.56. Now, the original area of the circle was 16. 16 minus 12.56 is equal to 3.44, so the area of the shaded region is 3.44.
Answer:
3.44
Step-by-step explanation:
enter it just like that in ape x
Solve {2x — y = 13; 3x + y = 12
Answer:
{x,y}={5,-3}
Step-by-step explanation:
Kiran's father is 65 years old. He is 8 years older than three
times Kiran's age. Find Kiran's age?
Answer:
let kiran's age be x
kiran's father's age is 65
acc.to ques
kiran's father is 8 years older than 3 times kiran's age ....which gives us the equation as follows
8+3x =65
therefore
3x =65-8
3x =57
x =57/3
x= 19 ans
so kiran's age is 19 years.
Answer:
kiran is 19 years old.
Step-by-step explanation:
kiran's father age = 65
let kiran's age be x
kiran's father is 8 years older than three times kiran's age means 8 + 3x
so according to the question equation is
65 = 8 + 3x
65 - 8 = 3x
57/3 = x
19 = x
therefore kiran's age is 19 years.
Please please help with this no links please
Answer:
f/9
Step-by-step explanation:
n + 5/5 = f + 9/9
do cross multiplication
5(f+9)=9(n+5)
5f+45=9n+45
5f=9n+45-45
5f=9n+0
f/9 = n/5
A sample of a radioactive isotope had an initial mass of 120 mg in the year
2010 and decays exponentially over time. A measurement in the year 2015
found that the sample's mass had decayed to 50 mg, What would be the
expected mass of the sample in the year 2018, to the nearest whole number?
Answer:
2015-2010=5
50÷5=10
120-50=70
2017-2015=2
2*10=20
70-20=50mg
2018=50mg
Find mZA and mZB.
Please help :)
Answer:
Angle A: 28 degrees
Angle B: 24 degrees
Step-by-step explanation:
Hi there!
The angle that measures 52 degrees (angle DCA) is one of the exterior angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite interior angles, which in this case would be angles A and B. Knowing this, we can set up the following equation:
[tex]4y-4+3y=52[/tex]
1) Solve for y
[tex]4y-4+3y=52[/tex]
Combine like terms
[tex]7y-4=52[/tex]
Add 4 to both sides to isolate 7y
[tex]7y-4+4=52+4\\7y=56[/tex]
Divide both sides by 7
[tex]\frac{7y}{7}=\frac{56}{7} \\y=8[/tex]
Therefore, y is equal to 8.
2) Solve for angles A and B
Angle A:
[tex]4y-4\\=4(8)-4\\=32-4\\=28[/tex]
Angle B:
[tex]3y\\=3(8)\\=24[/tex]
I hope this helps!
Which set of ordered pairs does not represent a function? O {(4, -6), (-5,5),(-6,0), (7,0)} O {(0, -4), (9,6), (2,8), (8,8)} O {(8,-6), (9,-8), (2,4), (3, -6)} o {(-5,2), (3,-9),(-1,8), (-5,9)}
Function is a set of ordered pairs that do not have same domain or x-value. That means in a set of ordered pairs, the domain cannot have same value.
The only relation that isn't function here is the last choice because in a set of ordered pairs, there are two -5's which is repetitive. Other choices do not have same x-values in one set except for the last choice.
Answer
{(-5,2),(3,-9),(-1,8),(-5,9)}Hope this helps and let me know if you have any doubts!
y= x+4 what is the answer?
Answer:
x = y − 4
Step-by-step explanation:
y=x+4
Step 1: Flip the equation.
x+4=y
Step 2: Add -4 to both sides.
x+4+−4=y+−4
x=y−4
Answer:
x=y−4
The probability model based on experimental probability for randomly selecting a marble from a bag is P(green)=18/40, P(Blue)=14/40, and P(white)=8/40. About how many marbles of each color are in the bag if there are 60 total marbles.
A. 27 green, 12 blue, 21 white
B. 12 green, 27 blue, 21 white
C. 27 green. 21 blue, 12 white
D. 27 white, 12 blue, 21 green
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
it the only one that make sense
One floor is randomly taken from a
vase containing 5 red flowers,
2 white flowers, and 3 pink flowers.
Find the probability of taking a red
or a pink flower.
PLEASE HELP 50 POINTS
What is the inverse of y= 1/3 * 7^x-1
Answer:
I think its C
Step-by-step explanation:
Byron is 3 years older than Doug. The product of their ages is 40. How old Doug?
A. 10
B. 8
C. 5
D. 4
Answer:
Option B is correct
Step-by-step explanation:
Doug is x years old, so Byron is x+3 years old. The product of their ages would then be x times x+3:
x(x+3) = 40
x2 + 3x = 40
x2 + 3x + 40 = 0
Now, factor the equation:
(x+8)(x-5) = 0
Then, solve for both values of x:
x+8 = 0
x = -8
x-5 = 0
x = 5
As no one can have a negative age, we simply disregard x=-8 as invalid. Therefore, Doug is 5 years old & Byron must be 5+3 - or 8 years old.
Hope it is helpful...Answer:
Doug is 10 years old; option A
Step-by-step explanation:
set up expressions using the information you already know:
B (byron)
D (doug)
B = D + 3
B * D = 40
you can now solve by plugging in an expression for the variable B in the second equation.
D + 3 * D = 40
D + 3D = 40
(combine like terms)
4D = 40
(divide by 4 on both sides to isolate the variable and balance the equation)
4D/4 = 40/4
D = 10
So, the answer is A; Doug is 10 years old
URGENT PLS HELP ASAP ANSWER EACH EMPTY BOX AND I WILL GIVE BRAINLIEST !!!!!
Answer:
y-1 = 2(x+2)
Step-by-step explanation:
Point slope form of a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -1 = 2(x - -2)
y-1 = 2(x+2)
Evaluate.
−8125−−−−√3
−425
−25
425
25
Answer:
-2/5
Step-by-step explanation:
( -8/ 125) ^ 1/3
We know (a/b) ^ 1/3 = a^ 1/3 / b^1/3
( -8) ^ 1/3 / ( 125) ^ 1/3
Rewriting
( -2^3) ^ 1/3 / ( 5^3) ^ 1/3
We know that a^b^c = a^(b*c)
-2^(3* 1/3) / 5^(3 * 1/3)
-2 / 5
Answer:
-2/5
Step-by-step explanation:
Originally a rectangle has dimensions 12in by 8in. if the same amount increases on both sides, the area is doubled find the new dimensions
Step-by-step explanation:
Let the increase in the size of the length and breath be 'x'.
The area of the rectangle = 12in × 8in
=96 in²
From the question,
(12+x)(8+x)=96×2 in²
or, 96+12x+8x+x²= 192
or, x²+20x+96-192=0
or, x²+20x-96=0
or, x²+24x-4x-96=0
or, x(x+24)-4(x+24)=0
or, (x-4)(x+24)=0
Either, Or,
x-4=0 x+24=0
Therefore, or, x= –24 (Which is impossible)
x=4
So the new dimensions are 12+4=16 inch and 8+4=12 inch.
Parallelogram W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C. The length of W C is (x + 4) feet and the length of C Y is (2 x minus 7) feet.
In parallelogram WXYZ, what is CY?
11 ft
15 ft
21 ft
23 ft
Answer:
b on edge 2021
Step-by-step explanation:
From the calculations, the length of CY in the parallelogram is 15 feet.
What is a diagonal?A diagonal is a line that runs from one end to another in a quadrilateral. We know that in such quadrilaterals as the parallelogram, the diagonals bisect each other.
Hence;
CY =WC
And
2x - 7 = x + 4
collecting like terms;
2x - x = 4 + 7
x = 11
Thus
CY = 2x - 7
= 2*11 - 7
= 22- 7
= 15
Learn more about diagonals:https://brainly.com/question/13702073
#SPJ9
Evaluate the expression below when x = 7 and y = 8.
5x2−3y
Answer:
221
Step-by-step explanation:
Substitute x = 7 and y = 8 into the expression
5(7)² - 3(8)
= 5(49) - 24
= 245 - 24
= 221
Plzzzzz help ill make you brainliest
Jack's school is 6 km from his home. He goes to school by bus. One day on the way to school due to road construction the bus had to stop at a distance of 4,750 meters from his home. How far was the bus from school?
1 4,756 m
2 4,744 m
3 4,750 m
4 1,250 m
Answer:
4 1250 m
Step-by-step explanation:
Hope it helps you.
The school is having a bake sale. It costs $6 to make a cake. The school wants to make a 25% profit on each cake. How much should the school charge for each cake?
Answer:
$1.50
Step-by-step explanation:
25% of 6 is basically just 6/4, which is 1.5.
This is money we're talking about, so the answer is $1.50
Which of the following are interior angles in the figure below?
Answer:
C
Step-by-step explanation:
The interior angles means the angles inside the triangle
During a fundraiser, students in Math Club make a $0,50 profit for every candy bar
they sell
Let n represent the number of candy bars the club sells.
Lett represent the total profit earned, in dollars.
What is the total profit earned for selling 10 candy bars?
I got two answer when I solved it but I’m not sure which one is correct
Here what I got
For the first time I tried it
0.50x10=5
Or
0.50+0.50 +0.50 +0.50 0.50 +0.50+0.50+0.50+0.50= 4.5
I’m not sure if I’m correct or which is the right answer can someone expían ?
Answer:
profit(n) = n * .50
Profit(10) = 5.00
Step-by-step explanation:
Profit = amount of candy bars sold * profit per candy bar
profit(n) = n * .50
Let the number of candy bars sold be 10 ( n=10)
Profit(10) = 10 * .50
= 5.00
When you added you only added 9 .50 terms which is why you only got 4.50 for your answer.
Which ordered pair is located on the X-axis? A) (0,-5) B) (-2) C) (3,0) D) (-1,5)
Answer:
(3 , 0 )
Step-by-step explanation:
At x-axis, y-co ordinate is 0
So, (3,0)
Answer: (3, 0)
Step-by-step explanation: The x-intercept is a point where a line crosses the x-axis and it's important to understand that all x-intercepts have a y-coordinate of zero. So the point (3, 0) is the x-axis.
In the picture below, I have plotted a few points including the point
in this problem to show you that all x-intercepts have a y-coordinate of zero.
