Answer:
3×81^x=9^{x+4}
since power of no is multiplied to its remaining power
3×3^4x=3^2{x+4}
if there is like terms then power is added
3^{1+4x}=3^{2x+8}
if there is like terms then power can be compared
so{1+4x}={2x+8}
1+4x=2x+8
4x-2x=8-1
2x=7
x=7/2 is your answer
What is the equation of the line that passes through the point (-1,-7)(−1,−7) and has a slope of 2
Answer:
y = 2x - 5
Step-by-step explanation:
Put it in point-slope form:
y + 7 = 2(x + 1)
y + 7 = 2x + 2
y = 2x - 5
Riley made 5 trays of cupcakes for the bake sale. Each tray had 6 vanilla cupcakes and 8 chocolate cupcakes. How many total cupcakes did Riley make for the bake sale
Answer:
70
Step-by-step explanation:
6x5=30
8x5=40
40+30=70
A rectangular piece of land measures 250 m by 220 m. Each side is to be fenced with 3 rows of wires. What is the length of the wire needed?
Answer:
2,820 m
Step-by-step explanation:
Given that the rectangular piece of land measures 250m by 220 m, the perimeter of the rectangle gives the length of wire required to fence it once.
The perimeter p of a rectangle of length l and width b is given as
p = 2(l + b)
Hence p = 2( 250 + 220)
= 2 * 470
= 940 m
Since each side is to be fenced with 3 rows of wires, the length of wire required
= 3 * 940m
= 2,820 m
9x2 - 52x + 33 = -10x - 16
Quadratic Equation
Answer:
x=7/3 or x=2.33
Step-by-step explanation:
9x^2 - 52x + 33 = -10x - 16
Okay, lets Start by converting this into standard form, which is: ax^2 + bx + c = 0.
Add 10x+16 on both sides of the equation, and simplifying.
9x^2 - 52x + 33 + 10x + 16 = -10x - 16 + 10x + 16
9x^2 - 42x + 49 = 0
Guess What! This equation is a Perfect Square Trinomial.
For a Perfect Square Trinomial, you will be able to take the square root of the first and third terms, and the coefficient of the second term will be twice the square root of the third term. The “sign” of your second term in your answer will be the same as the linear term sign.
So this is (3x*3x) + (3x * -7 * 2) + (7 * 7) = 0
So, we can rewrite this as (3x - 7)^2=0
Now, To solve, We can set each factor equal to 0, and solve.
*Since we have a Perfect Square Trinomial, You will get one solution, or value, for x.*
Add 7 on both sides.
3x - 7 = 0
+7 +7
----------------
3x=7
Divide by 3 on both sides.
3x/3 = 7/3
x=7/3
As a decimal: 2.33...
Hope I helped, Brainliest would be appreciated :)
Have a fantastic day!
-Aadi x
Find the value of x in the triangle shown below.
15
х
9
Answer:
x=12
Step-by-step explanation:
[tex]x^{2}[/tex]=[tex]15^{2}[/tex]-[tex]9^{2}[/tex]
[tex]x^{2}[/tex]=225-81
[tex]x^{2}[/tex]=144 /sqrt
x=12
Which equation of a line passes through the points (-5,2) and (0,7)?
Answer:
I think the answer will be Y=X+7
Answer:
y=x+7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-2)/(0-(-5))
m=5/(0+5)
m=5/5
m=1
y-y1=m(x-x1)
y-2=1(x-(-5))
y-2=x+5
y=x+5+2
y=x+7
Which is the solution to the inequality?
2 3/5
Will give you Brainiest
Answer:
the third one
Step-by-step explanation:
basically b<47/15 =>
b<3* 2/15
Paul will roll two standard dice simultaneously. If Event A = both dice are odd and Event B = at least one die is even, which of the following best describes events A and B?
Answer:
Mutually Exclusive
Dependent
Step-by-step explanation:
Given that both events cannot occur at the same time, that is "both dice cannot be odd (event A) if at least one of the dice is even (event B).
Hence, this is MUTUALLY EXCLUSIVE.
Also, given the fact that the occurrence of one event (event A) affects the probability of the other (event B).
Hence, this is DEPENDENT.
Simplify: x²yx^4y + a²a^10 a2q10 - b^3b^3b + 5²c (5) ( It comes with a photo)
Answer:
a^14q^10+x^6y^2−b^7+125c
( I hope this was helpful ) >;D
18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0
Answer:
a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Step-by-step explanation:
The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form
That is:
y = mx = c
where m is the slope and c is the y-intercept
Part a:
6(x+y) = 3(x-y)
2(x+y) = x-y
2x + 2y = x - y
3y = -x
[tex]y = \frac{-1}{3}x[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
Part b:
2(x+y) = 5(y+1)
2x + 2y = 5y + 5
3y = 2x - 5
[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]
Comparing this with general formula, we can conclude that:
The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
Part c:
5x + 10y -20 = 0
10y = -5x + 20
[tex]y = \frac{-1}{2} x+2[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Hope this helps :)
2(2a + b) + 8
pls help i need it in simplest form
☁️ Answer ☁️
4a + 2b + 8
Hope it helps.
Have a nice day noona/hyung  ̄▽ ̄
Alex's driveway is 27 yards long and 10 yards wide.how many feet long is the driveway
Answer:
81 feet
Step-by-step explanation:
3 feet = 1 yard
Answer:
81 feet wide
Step-by-step explanation:
1) The 10 yards wide is not necessary since we only need length.
2) There are 3 feet in a yard.
3) 27 yards multiplied by 3 feet equals = 81 feet.
4) 27 * 3 = 81 feet
In an office, there are 75 women and 125 men .Find the ratio of
the number of men to the number of women.
Given:
In an office, there are 75 women and 125 men.
To find:
The ratio of the number of men to the number of women.
Solution:
We have,
Number of men = 125
Number of women = 75
The ratio of the number of men to the number of women is:
[tex]\text{Required Ratio}=\dfrac{\text{Number of men}}{\text{Number of women}}[/tex]
[tex]\text{Required Ratio}=\dfrac{125}{75}[/tex]
[tex]\text{Required Ratio}=\dfrac{5}{3}[/tex]
[tex]\text{Required Ratio}=5:3[/tex]
Therefore, the ratio of the number of men to the number of women is 5:3.
Determine whether the following graph represents a function.
Answer:
yes the graph represents a function
Step-by-step explanation:
plz mark me brainliest
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
f(x) = |x - 3| + 2
g(x) = |x + 1| - 5
you’re cool if you help me out
Answer:
180-149=31
119+31+x=180
150+x=180
x=180-150
x=30
× is a variable for angle 1, so angle 1 is 30
ill mark u brainliest
Answer:
The slope represents the number of cookies sold for each dollar.
Answer: it is C
Step-by-step explanation: each point is a number boxes sold and some profit
At 106°F, a certain insect chirps at a rate of 67 times per minute, and at 108°F, they chirp 83 times per minute. Write an equation in slope-intercept form that represents the situation.
Answer:
[tex]y=8x-781[/tex]
Here, [tex]x[/tex] represents temperature and [tex]y[/tex] denotes rate of chirping per minute.
Step-by-step explanation:
Let [tex]x[/tex] represents temperature and [tex]y[/tex] denotes rate of chirping per minute.
At [tex]106[/tex]°F, a certain insect chirps at a rate of [tex]67[/tex] times per minute.
Take [tex](x_1,y_1)=(106,67)[/tex]
At [tex]108[/tex]°F, they chirp [tex]83[/tex] times per minute.
Take [tex](x_2,y_2)=(108,83)[/tex]
Slope intercept form:
[tex]y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)[/tex]
[tex]y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{16}{2})(x-106)\\\\y-67=8(x-106)\\y-67=8x-848\\y=8x+67-848\\y=8x-781[/tex]
HElppppp will mark brainlest!!!!!!
Answer:
1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent
Step-by-step explanation:
congruent is are the same size and shape, similar have different sizes.
hhElLlpp Pls Ill fail
Answer:
1. Turbine
2. Generator
3. Power line
No, the US and other countries shouldn't use more wind energy because the turbine could cause harm to animals that fly.
OR you can say:
Yes, the US and other countries should use more wind energy because it doesn't cause pollution, so no greenhouse gases are made to contribute to global warming.
You can choose either answer. I hope this helps you! ^-^
which is the correct expression of (2x+3) (2x^2-5)
:
:
:
(giving brainiest)
real quick one should take someone around 5-7-10 minutes it really depends!
Answer:
Step-by-step explanation:
E
Simplify.
(-2)^-3
A.) 8
B.) 1/8
C.) -8
D.) - 1/8
Answer:
D. -1/8
Step-by-step explanation:
Find the value of x that makes lines u and v parallel.
Answer:
the answer is x=10
Step-by-step explanation:
10*10=100
100-10=90
the red square means 90°
A pachyrhinosaurus weighed approximately 4 tons and( traveled in herds but that does not matter)what would the weight of 8 pachyrhinosaurus have been in pounds?
Answer: [tex]70,547.84\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
The weight of a Pachyrhinosaurus is 4 tons
We know, [tex]1\ \text{ton}=2204.62\ \text{Pounds(lbs)}[/tex]
[tex]\therefore \text{weight of 8 pachyrhinosaurus is} \\\\\Rightarrow 8\times4=32\ tons\\\\\Rightarrow 32\ tons\approx 70,547.84\ \text{pounds}[/tex]
What is the coefficient of q in the sum of these two expressions?
(23q – 34) and (–16q – r)
2/3
3/4
1/2
1
Answer:
23 and - 16 are the coefficients
Step-by-step explanation:
What is 7/2 divided by 5/4?
HURRY UP PLZ!!
Answer:
[tex] \frac{14}{5} [/tex]
Step-by-step explanation:
1) Use this rule : a ÷ b/c = a × c/b.
[tex] \frac{7}{2} \times \frac{4}{5} [/tex]
2) Use this rule: a/b × c/d = ac/bd.
[tex] \frac{7 \times 4}{2 \times 5} [/tex]
3) Simplify 7 × 4 to 28.
[tex] \frac{28}{2 \times 5} [/tex]
4) Simplify 2 × 5 to 10.
[tex] \frac{28}{10} [/tex]
5) Simplify.
[tex] \frac{14}{5} [/tex]
Therefor, the answer is 14/5. And is decimal form it would be, 2.8.
HELPPPPPP!!!
find each missing length. give all answers in the simplest radical form.
Answer:
45°
Step-by-step explanation:
the sum of angles in a triangle is equal 180°
we have been given that one angle equals yo 90° and the other equals to 45°
let "?" be the unknown angle
====> 180° = 90° + 45° +?
? = 180° - (90° + 45°)
? = 180° - 135°
? = 45°
cube root of 0.064
a) 4
b) 0.04
c) 0.4
d) 0.004
Answer:
Option C. 0.4
Step-by-step explanation:
Given data
0.064
We are required to find the cube root of the above number
The cube root is also expressed mathematically as
= ∛0.064
= 0.4
Hence, the answer is option C 0.4
A distance of 5 units is best described by the distance between the —
Answer:
c and d
Step-by-step explanation: