[tex]\text{Given that,}\\\\h(x) = -x+5\\\\\implies 3 = -x +5\\\\\implies x = 5 -3 =2[/tex]
3. Using the number line below, list the following numbers in increasing order:
1.1, -1.9, .4, -.6
Tell if each statement about the equations y = log5x and y = 5% are true or false.
Explain your answers.
a) The graphs of the equations are symmetric to each other over line y = 0.
b) The equation y = 5* is the exponential form of y = log5x.
c) The functions are not inverses of each other.
d) The equations are symmetric over the line y = x.
Answer:
a) false b) false c) false d) true
Step-by-step explanation:
Answer:
a) false b) false c) false d) true
Step-by-step explanation:
2⎜x - 7/2⎟ + 3 > 4
Pls
Answer: x<3 or x>4
Step-by-step explanation: 2|x-7/2|+3+-3>4+-3 2|x-7/2|/2>1/2 x+|−7/2|+7/2>1/2+7/2 x>4 or x+|−7/2|+7/2<−1/2+7/2 x<3
4. A safe slope for a ladder is 1 ft of run for every 4 ft of rise. Vincent needs to use a
ladder to reach a window sill that is 22 ft above the ground. How far from the house
should the base of the ladder be?
Answer:
5.5 ft
Step-by-step explanation:
because its 4ft for every 1ft there's a ratio of 1:4 so 22 represents the 4 part of the ratio, hence 22 divided by 4 gives us 5.5 on the base
The volume of a sphere is decreasing at a constant rate of 23 cubic centimeters per
second. At the instant when the volume of the sphere is 7 cubic centimeters, what is
the rate of change of the radius? The volume of a sphere can be found with the
equation V 28. Round your answer to three decimal places.
The rate of change of the radius is 1.32cm²/s
The formula for calculating the volume of a sphere is expressed as:
[tex]v = \frac{4}{3} \pi r^3[/tex]The rate of change of the volume is given as:
[tex]\frac{dv}{dt} = \frac{dv}{dr} \cdot \frac{dr}{dt} \\\frac{dv}{dt} = =4 \pi r^2 \cdot \frac{dr}{dt} \\[/tex]Given the following paramters;
dv/dt = 23cm³/s
Volume = 7cm³
Get the radius of the sphere:
7 = 4/3 πr³\
21 = 4πr³
r³ = 21/4π
r = 1.18 cm
Get the rate of change of the radius to have:
[tex]23 = 4(3.14)(1.18)^2 \frac{dr}{dt} \\23 = 17.48 \frac{dr}{dt} \\\frac{dr}{dt}=1.32cm^2/s[/tex]
Hence the rate of change of the radius is 1.32cm²/s
Learn more on volume of a sphere here: https://brainly.com/question/22807400
Encuentra las dimensiones de un rectangulo cuyo perímetro es 26 mts y el área es 40m2
Answer:
Las dimensiones del rectángulo son:
lado corto: 5 cm
lado largo: 8 cm
Step-by-step explanation:
Consideraciones:
El perímetro de un rectángulo se calcula así:
p = 2(lado corto + lado largo)
El área de un rectángulo se calcula así:
a = lado largo * lado largo
Planteamiento:
26 = 2(a+b)
40 = a*b
a = lado largo
b = lado corto
Desarrollo:
de la primer ecuación del planteamiento:
26/2 = a+b
13 = a+b
13-a = b
sustituyendo este último valor en la segunda formula del planteamiento:
40 = a(13-a)
40 = 13*a + a*-a
40 = 13a - a²
-a² + 13a - 40 = 0
a = {-13±√((13²)-(4*-1*-40))} / (2*-1)
a = {-13±√(169-160)} / -2
a = {-13±√9} / -2
a = {-13±3} / -2
a₁ = {-13-3} / -2 = -16 / -2 = 8
a₂ = {-13+3{ / -2 = -10 / -2 = 5
write an equation in slope-intercept form for a line that goes through (9,-2) and is parallel to y=7x+2
Answer:
y=7x-65
Step-by-step explanation:
The slope of the line that passes through the points ( 2 , 3 ) a n d ( 5 , 9 ) is?
What is an equation of a line that passes through (0,3) and (2,4)
Answer:
y=1/2x+3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-3)/(2-0)
m=1/2
y-y1=m(x-x1)
y-3=1/2(x-0)
y=1/2(x)+3
y=1/2x+3
- 8i - 7i
A. - 15i
B. 15i
C.-15 l^ 2
D. 15i ^ 2
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is 13 cm and the width is 10 cm, how fast is the area of the rectangle increasing?
Answer:
195 square centimeters per second
Step-by-step explanation:
Area growth rate = (9*10) cm^2 per s + (7*15) cm^2 per s = 195 square centimeters per second
WILL MARK BRAINLIST PLS ANSWER ITS VERY IMPORTANT
Answer:
Step-by-step explanation:
a) 4th
b) 300
c) 2nd and 5th
Find the measure of angle Y.
Answer:
Y = 62°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
W + X + Y = 180°
(4n -9°) + (7n -16°) +(6n -16°) = 180°
17n -41° = 180° . . . . . . . . . . simplify
17n = 221° . . . . . . . . . . add 41°
n = 13° . . . . . . . . . . divide by 17
Then the measure of Y is ...
Y = 6n -16° = 6(13°) -16° = 78° -16°
Y = 62°
_____
The other angles are W = 43°, X = 75°.
Angles of a triangle adds to 180° .
===============================> W + X + Y = 180°
=> (4n-9°) + (7n-16°) + (6n-16°) = 180°
=> 17n-41° = 180°
=> 17n = 180° + 41°
=> 17n = 221°
=> n = 221/17
=> n = 13°
The measure of Y is,=> 6n-16° = 6(13°) -16° = 62°
Y = 62°
maths question algebra
Answer:
x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]
Step-by-step explanation:
5x² - 3y = 4y + 8 ( add 3y to both sides )
5x² = 7y + 8 ( divide both sides by 5 )
x² = [tex]\frac{7y+8}{5}[/tex] ( take square root of both sides )
x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]
38499 divided by 779
Step-by-step explanation:
49.43 is your answer bro brainlist plz
Give me answer plz !!!
Answer:
c.-2.5 ,because[2.5]=2.5
Step-by-step explanation:
I hop this is fine
Answer:
B part
Step-by-step explanation:
2.5 because |2.5| = 2.5 and it's never negative.
Hope it helps :)
tell me numbersin order
Part 1:-
cost to park of a day is= $25+$43+$61+$79 =$208and the hourly rate to a paddle boat =208÷24=$8.6 per hour______________________
What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Completethe explanation.The total cost to rent the boat will be
3.5 hours x $ 12 per hour + $ 5 =$47
if she spilt cost with a friend ,they will each pay$47 ÷ 2= $ 23.5
Read the paragraph. [1] The 1992 Olympic Games took place in Barcelona, Spain. [2] This marked the first year that professional basketball players were permitted to represent their countries in the games. [3] Previously, only amateur players were allowed to participate such as college athletes. [4] The US squad was called “The Dream Team” because it consisted of some of the best players in the history of the game, including Michael Jordan, Magic Johnson, and Larry Bird. Which sentence should be revised to improve this paragraph’s sentence fluency?Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The sentence that needs to be revised to improve the paragraph's sentence fluency is: sentence 3.
The two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
In a grammatical context, the correct usage of punctuation marks and active voice is required and needed to be taken into consideration by the writer for effective communication to the reader.
The correct form of the sentence in sentence 3 should be:
"Previously, only amateur players, like college athletes, were allowed to participate."The inequality given is -3(2x - 5) < 5(2 - x). Using the simple algebraic method to solve the given inequality, we have:
= -3(2x - 5) < 5(2 - x)
= -6x + 15 < 10 - 5x
By collecting the like terms, we have:
= 15 - 10 < -5x + 6x
= x < 5
Therefore, the two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
NOTE: The third question is a repetition of an incomplete question.
Learn more about sentences here:
https://brainly.com/question/4955765
Christian buys a two-gallon bottle of juice for $18.16.
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounce
How many fluid ounces of juice did Christian buy?
Answer:
256 fluid ounces
Step-by-step explanation:
2 gallons = 8 quarts
8 quarts = 16 pints
16 pints = 32 cups
32 cups = 256 fluid ounces
Here ya go bestie. Your favorite :D
Answer:
the answer is d
Step-by-step explanation:
decrease eight times a number by twice the same number
Answer:
6x
Step-by-step explanation:
8x-2x
can someone help me do this
Answer:
[tex]23^{\tfrac 12} = \sqrt{23}~~~~;\left[a^{\tfrac 12} = \sqrt a \right][/tex]
Step-by-step explanation:
What is the answer for this one: If the temperature is 3 degrees and it falls by 12 degrees, what is the new temperature?
Answer:
-9 degrees
Step-by-step explanation:
3-12=-9
Answer:
-9 degrees
Step-by-step explanation:
Just think it through. If it's currently 3 degrees out side and then the temperature drops another 12 degrees, what will the temperature be.
If you're still having trouble visualizing it, picture it on a number line. It becomes:
3-12 = ?
3-12 = -9
An equation of a line through (-12, -12) which is parallel to the line y = 3 x + 2 has slope:
Answer:
3. Parallel lines have the same slope but different y-intercepts, so they never intercept each other.
Step-by-step explanation:
Which table shows a proportional relationship?x12345y47101316r510152025s12345b03579c0481216p13579q68101214
Answer: 7678687nx09
dad
Step-by-step explanation:
The length of a retangle garden is 4 yards more than its width The area of the garden is 60 square yards Find the with of the garden
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n) = 5 + (n - 1) 1/6
Answer:
A(1) = 5
A(4) = 5.5
A(10) = 6.5
Step-by-step explanation:
An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;
Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;
So:
A(1) = 5 + ⅙((1) - 1) = 5
A(4) = 5 + ⅙((4) - 1) = 5.5
A(10) = 5 + ⅙((10) - 1) = 6.5
Question 34, the answer is C. I just need the working. Tysm
Answer:
C
Step-by-step explanation:
∠ ABC = 90° ( angle in a semicircle )
Using the cosine ratio in right triangle ABC and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent }{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{10}{AC}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
AC × [tex]\sqrt{3}[/tex] = 20 ( divide both sides by [tex]\sqrt{3}[/tex] )
AC = [tex]\frac{20}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising denominator )
AC = [tex]\frac{20\sqrt{3} }{3}[/tex]
radius AO = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × [tex]\frac{20\sqrt{3} }{3}[/tex] = [tex]\frac{10\sqrt{3} }{3}[/tex] → C
Determine the value of the given expression -3 1/3×1 5/6
Answer: 6
Step-by-step explanation:
3
1
a−1−
2
1
b
=
3
1
⋅12−1−
2
1
⋅6 Replace a with 12 and b with 6.
=4−1−3
=0
Solve -4 b + 2 = 18.
Answer:
-4
Step-by-step explanation:
Move all terms that don't include B to the right and solve