Answer:
Step-by-step explanation:
Let the number be 'x'
Quotient of a number and 4 = [tex]\frac{x}{4}[/tex]
Six less than the quotient of a number and 4 : [tex]\frac{x}{4}-6[/tex]
Equation:
[tex]\frac{x}{4} \ - \ 6 = 15[/tex]
which algebraic expression represents this word description?
the product of two and the difference between eleven and a number
a. 2(11-x)
b. 11-2x
c. 2x-11
d. 2(x-11)
Step-by-step explanation:
c. 2x-11 this is the answer
hope this helps you
have a nice day:)
Please help me with this
Answer:
1/6 for white and 1/2 for black
Step-by-step explanation:
My knowledge!
Hope it helps!
Answer:
4/15
Step-by-step explanation:
There are 6 white+4black = 10 marbles in the bag
P (white) = white marbles / total marbles = 6/10 = 3/5
We keep the marble
There are 5 white+4black = 9 marbles in the bag
P (black) = black/total = 4/9
P(white, black no replacement) = 3/5 * 4/9 = 3/9 *4/5 = 1/3*4/5 = 4/15
pls help me solve this multiplication fractions. (show work)
Answer:
32:3/4
33:4/3
34:40
35:48
Find the measure of the indicated angle to the nearest degree
Answer: x=31°
Step-by-step explanation:
To find the missing angle, we need to use SOHCAHTOA. We can eliminate sine and tangent because we aren't given the opposite side. Therefore, we use cosine.
[tex]cos(x)=\frac{48}{56}[/tex] [use inverse cosine]
[tex]x=cos^{-1}(\frac{48}{56})[/tex]
[tex]x=31[/tex]
Now, we know x=31°.
If the point A at (5, 3) is rotated clockwise about the origin through 90°, what
will be the coordinates of the new point?
Answer:
(5,-3) in the 4th quadrant
Step-by-step explanation:
HELP ME WITH THIS PROBLEM PLEASE!!
Answer:
w ≈ 33.9 in
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
w² + w² = 48²
2w² = 2304 ( divide both sides by 2 )
w² = 1152 ( take the square root of both sides )
w = [tex]\sqrt{1152}[/tex] ≈ 33.9 in ( to the nearest tenth )
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
x – 4
x – 2
x + 2
x + 4
Explain how to solve 4^(x+3)=7 using the change of base formula log_by=log y/ log b. Round to the nearest thousandth
Answer:
x = -1.59
Step-by-step explanation:
We are here given a equation and we need to solve out for x. The given equation is ,
[tex]\sf\longrightarrow 4^{( x +3)}= 7[/tex]
Take log to the base " e " on both sides , so that we can remove the variable from the exponent .
[tex]\sf\longrightarrow log_e 4^{x+3}= log_e 7[/tex]
Simplify using the property of log , [tex]\sf log a^m = m log a [/tex] , we have ,
[tex]\sf\longrightarrow (x + 3) ln 4 = ln 7 [/tex]
Distribute by opening the brackets ,
[tex]\sf\longrightarrow x ln 4 + 3 ln 4 = ln 7[/tex]
This can be written as ,
[tex]\sf\longrightarrow x ln 4 = ln 7 - 3ln4 [/tex]
Divide both sides by ln 4 ,
[tex]\sf\longrightarrow x = \dfrac{ ln7}{ln 4 } - \dfrac{ 3ln4}{ln4} [/tex]
Simplify ,
[tex]\sf\longrightarrow x = \dfrac{ ln4 }{ln7 } -3[/tex]
On simplifying , we will get ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = -1.59 }}[/tex]
Hellllllllp plsss!! Due in very soon maths
Answer: 23, 27,29
Those im absolutely positive about.
Im not sure abt the rest
Step-by-step explanation:
Javier jogs & of a -
mile in 8 minutes
how many minutes will
it take him to jog
1 mile?
Answer:
It will take him 10 minutes to jog 1 mile.
Step-by-step explanation:
can i have brianliest please
Mrs. Ella bought something's bought 3 lb of apples. The price is $2.49 per pound. How much did she pay for the three pounds of apples ?
Answer:
$7.47
Step-by-step explanation:
Take the number of pounds and multiply by the price per pound
3 * 2.49
7.47 for 3 pounds of apples
Answer:
7.49
Step-by-step explanation:
Given: 3 pounds, and 2.49 for each pound
Multiply:
2.49 × 3
₁ ₂
2.49
× 3
----------
7. 47
Mrs. Ella bought 3 pounds of apples for $7.49
Solve 7x + 1 < 4(x - 2).
A. {x | x > 3}
B. {x | x > -3}
C. {x | x < -3}
D. {x | x < 3}
Given:- 7x + 1 < 4(x - 2)
Solving It:-7x + 1 < 4(x - 2)
7x + 1 < 4x - 8
7x - 4x < -8 -1
3x < -9
x < -9/3
x < -3
So Correct Solution Set Will BeC. {x | x < -3}Hope This Helps YouFind the volume
Help me please
Answer:
54piecm^3
Step-by-step explanation:
pie x radius ^2 x h
= v
pie x 9
= 9pie x 6
= 54pie
Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula A = P(1 + r)t, what is the approximate value of the account after 2.5 years?
Answer:
$6778.36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
P is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 6000
r = 5% = 0.05
n = 1
t = 2.5
Step 2: Find Interest
Substitute in variables [Compounded Interest Rate Formula]: [tex]\displaystyle A = 6000(1 + \frac{0.05}{1})^{1 \cdot 2.5}[/tex]Simplify: [tex]\displaystyle A = 6000(1.05)^{2.5}[/tex]Evaluate: [tex]\displaystyle A = 6778.36[/tex]geometry help translations
Answer:
A' (9,4)
B' (8,-1)
C' (5,1)
Answered by GAUTHMATH
Answer:
A' = 9,4
B' = 8,-1
C' = 5,1
Step-by-step explanation:
What is the standard form of the ellipse equation
25x2 - 150x + 9y2 = 0?
O
(x - 3)2
32
y
1
+
52
0 (x - 5)
1
y2
22
(y - 3)2
22
0x2
+
14
1
O
x2
32
(y - 3)2
22
= 1
Answer: The correct answer is in the first option.
Step-by-step explanation:
Equation of an Ellipse
[tex]\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1\\\\25x^{2} - 150x + 9y^{2} = 0\\\\\text {Let's \: perform \: the \: transformations:}\\\\\dfrac{25x^{2} }{25 \cdot 9} -\dfrac{150x}{25 \cdot 9} +\dfrac{9y^{2} }{25 \cdot 9} =0\\\\\dfrac{x^{2} }{3^{2} } -\dfrac{6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } =0\\\\\dfrac{x^{2} -6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } +\dfrac{3^{2} }{3^{2} } -\dfrac{3^{2} }{3^{2} } =0\\\\\dfrac{x^{2} -6x+3^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =\dfrac{3^{2} }{3^{2} }[/tex]
[tex]\dfrac{(x-3)^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =1[/tex]
The slope of a line is 5/9 and the slope of another line is -975. The two lines
are
Answer:
the third option - they are perpendicular to each other.
Step-by-step explanation:
for a perpendicular slope we need to exchange the x and y values (remember, a slope is the ratio of y/x) and flip the sign.
and that is exactly what happened here.
Please solve this question 3(n+4)=5n?
Answer:
6=n
Step-by-step explanation:
Hi there!
We are given this equation:
3(n+4)=5n
And we need to solve it for n
To do that, we need to isolate n on one side
But we need to open up the parentheses on the left side by doing the distributive property
Multiply both n and 4 by 3
3n+12=5n
Now subtract 3n from both sides to remove it from the left side
12=2n
Divide both sides by 2 to change the coefficient on n from 2 to 1
6=n
n is now isolated on one side
Hope this helps!
Answer:
n=6
Step-by-step explanation:
Using the distributive property, we distribute 3 to n and 4. In case if you don't know what that means, it means we multiply 3 to the variables inside the parentheses. So we get (3×n)+(3×4)=5n, and we simplify it so we get 3n+12=5n. Now, we can subtract 3n from both sides and get 12=2n, and divide 2 from both sides and get n=6.
PLEASE HELP WILL MARK BRAINLIEST!
Answer:
a. 125 degrees
b. 62 degrees
c. 58 degrees
d. 130 degrees
Step-by-step explanation:
I assume these are the inner angles of the polygons.
remember, for a polygon with n sides we can fully split it into n-2 triangles without overlap.
each of these triangles has an angle sum of 180 degrees.
to get the total inner angle sum of the polygon, we need to multiply 180 by (n-2) (= the number of triangles).
out of that total we can then calculate the size of the missing angle.
a. 6 sides, therefore 4 triangles
4×180 = 720 degrees
the missing angle is
angle = 720 - 88 - 152 - 125 - 105 - 125 = 125
b. 5 sides, 3 triangles
3×180 = 540 degrees
angle = 540 - 109 - 111 - 140 - 118 = 62
c. 4 sides, 2 triangles
2×180 = 360
angle = 360 - 60 - 142 - 100 = 58
d. 7 sides, 5 triangles
5×180 = 900
angle = 900 - 90 - 120 - 140 - 150 - 120 - 150 = 130
Ah(t)
1800-
A ball is dropped from a height of 1296 ft. Its height h,
in feet, after t seconds is given by h(t) = 1296 - 1612.
After how long will the ball reach the ground?
0 0
1296
0-
0
12
The ball will reach the ground in seconds.
(Type an integer or a simplified fraction.)
Does this graph show a function? Explain how you know.
Answer:
A is the correct one
cause according to function rule the vertical line should cut only on a one point to be function
as here we can see that vertical line cuts here at two point
If the woman in the picture below measured the angle of elevation from herself to the top of castle and found it to be 64 degrees, and she also measured the distance from herself to the base of the castle as being 124 meters, what would the height of the castle be? (round to the nearest whole meter.)
Answer:
254m
Step-by-step explanation:
The setup will be in form of a right triangle. Hence;
The angle of elevation = 64degrees
distance from herself to the base of the castle = 124 meters (Adjacent)
Required
Height of the castle (Opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 64 = H/124
H = 124tan64
H = 124(2.05030)
H = 254.23
H ≈ 254m
Hence the height of the castle to the nearest whole meters is 254metres
Given a circle with centre O and radius 2.4cm. P is a point such that the lenght of the tengent from Q to the circle is 4.5cm. Find the lenght of OP
Answer:
5.1 cm
Step-by-step explanation:
(Probable) Question;
Given a circle with center O and radius 2.4 cm. P is a point on the tangent that touches the circle at point Q, such that the length of the tangent from P to Q is 4.5 cm. Find the length of OP
The given parameters are;
The radius of the circle with enter at O, [tex]\overline{OQ}[/tex] = 2.4 cm
The length of the tangent from P to the circle at point Q, [tex]\overline{PQ}[/tex] = 4.5 cm
The length of OP = Required
By Pythagoras's theorem, we have;
[tex]\overline{OP}[/tex]² = [tex]\overline{OQ}[/tex]² + [tex]\overline{PQ}[/tex]²
∴ [tex]\overline{OP}[/tex]² = 2.4² + 4.5² = 26.01
[tex]\overline{OP}[/tex] = √26.01 = 5.1
The length of OP = 5.1 cm
Rewrite the expression in the form a^n.
1/a^-5/6
Step-by-step explanation:
here's the answer to your question
Answer:
[tex]\frac{1}{a^{\frac{-5}{6} } }[/tex]
[tex]\frac{1}{a^{-n} }[/tex][tex]\frac{1}{a^{-5/6} } =a^{5/6}[/tex][tex]ans: a^{5/6}[/tex]OAmalOHopeO
Please help, explain too and I will give brainliest :)
Answer:
c
Step-by-step explanation:
Answer:
C. 37 degrees
Step-by-step explanation:
27, 36, 45 is just a larger 3, 4, 5 triangle. The smallest angle is across from the smallest side. With those in mind, we have 37, 53, and 90 degrees as the angles for a 3, 4, 5 triangle. We pair the 27, (the three when we reduce) with the smallest angle, the 37.
I'm sure you can do it with an actual formula, but i can't recall. Cheers
Can someone please help me out with a small explanation thank you :)
Step-by-step explanation:
1 . when we collect like terms we only focus on the variables and the power of the variable I f exist so in this question the answer is 8x^2 because both have the same variable and same power or exponent.
2. one term is monomial
two terms is binomial
3. b
4. -9
5. c
what would be the u to usub and what would be the steps to solving this integral?
Presumably, ln⁵(x) is the same as (ln(x))⁵ (as opposed to a quintuply-nested logarithm, log(log(log(log(log(x)))))).
Then substituting u = ln(x) and du = dx/x gives
[tex]\displaystyle\int\frac{\mathrm dx}{x\ln^5(x)} = \int\frac{\mathrm du}{u^5} = -\frac1{4u^4}+C = \boxed{-\frac1{4\ln^4(x)}+C}[/tex]
PLEASE HELP!!!
Select the correct answer.
Which function has an average rate of change of -4 over the interval [-2, 2]?
Answer:
D.
Step-by-step explanation:
Find the average rate of change of each given function over the interval [-2, 2]]:
✔️ Average rate of change of m(x) over [-2, 2]:
Average rate of change = [tex] \frac{m(b) - m(a)}{b - a} [/tex]
Where,
a = -2, m(a) = -12
b = 2, m(b) = 4
Plug in the values into the equation
Average rate of change = [tex] \frac{4 - (-12)}{2 - (-2)} [/tex]
= [tex] \frac{16}{4} [/tex]
Average rate of change = 4
✔️ Average rate of change of n(x) over [-2, 2]:
Average rate of change = [tex] \frac{n(b) - n(a)}{b - a} [/tex]
Where,
a = -2, n(a) = -6
b = 2, n(b) = 6
Plug in the values into the equation
Average rate of change = [tex] \frac{6 - (-6)}{2 - (-2)} [/tex]
= [tex] \frac{12}{4} [/tex]
Average rate of change = 3
✔️ Average rate of change of q(x) over [-2, 2]:
Average rate of change = [tex] \frac{q(b) - q(a)}{b - a} [/tex]
Where,
a = -2, q(a) = -4
b = 2, q(b) = -12
Plug in the values into the equation
Average rate of change = [tex] \frac{-12 - (-4)}{2 - (-2)} [/tex]
= [tex] \frac{-8}{4} [/tex]
Average rate of change = -2
✔️ Average rate of change of p(x) over [-2, 2]:
Average rate of change = [tex] \frac{p(b) - p(a)}{b - a} [/tex]
Where,
a = -2, p(a) = 12
b = 2, p(b) = -4
Plug in the values into the equation
Average rate of change = [tex] \frac{-4 - 12}{2 - (-2)} [/tex]
= [tex] \frac{-16}{4} [/tex]
Average rate of change = -4
The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]
Answer:
see photo
Step-by-step explanation:
Plato/Edmentum
Work out the circumference of this circle 7.5
Answer:
47.12
Step-by-step explanation:
C=2πr=2·π·7.5≈47.12389
i need help A S A P!
Answer:
ewfwefwfewfwfwe
Step-by-step explanation: