Rewrite the function, differentiate, and then simplify
y= 3/√x
Answer:
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]
Step-by-step explanation:
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = [tex]\frac{3}{\sqrt{x} }[/tex] = 3[tex]x^{-\frac{1}{2} }[/tex] , then
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{3}{2} }[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]
A student received a coupon for 10% off the total purchase price at the clothing store. Let x be the original price of the purchase. Use the expression below for the new price of the purchase. Write an equivalent expression by combining like terms.
x - 0.1x =
Answer:
All most there. buddy:-)
An isosceles triangle has an angle that measures 26°. Which other angles could be in that
isosceles triangle? Choose all that apply.
Answer:
26° 26° 128°
77° 77° 26°
Step-by-step explanation:
So we have two scenarios here.
One of them is if the base angles are 26°.
If that's true, the other angle is 128°
The other scenario is the opposite.
This means the base angles are 77°
Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter: 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?
Answer:
6 cm
Step-by-step explanation:
1 cm : 9 meters --> 1cm/9m
? cm : 54 meters --> ?cm/54m
[tex]\frac{1}{9}=\frac{?}{54}; 54*\frac{1}{9}=?;6=?[/tex]
Answer:is 6cm
Step-by-step explanation:
Write an equation to the model above
BEST ANSWER GET BRANLIEST
Answer:
0 ≤ x ≤ 2 (i assumed that the arrows included 0 and 2).
Step-by-step explanation:
One arrow shows 0 and greater (as it is pointing right) and the other shows 2 and smaller (as it is pointing left). The arrow pointing right has the equation of:
x ≥ 0 (where x is a random number)
The arrow pointing left has the equation of:
x ≤ 2 (where x is a random number)
Assuming that you need to find an equation so that x fits both inequalities, we combine them into one inequality and get:
0 ≤ x ≤ 2
find the equation of the line that passes through the points (-2,3) and (-1,7)
Answer: y=4x+11
y=mx+b
for the line that passes through the points
3. A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm square base with a water level of 53.0 cm. The medallion is dropped into the container and the water level rises to 54.6 cm. Find the volume and the density of the
Answer:
Initial volume:
10*10*53 = 5300 cm³Increased volume:
10*10*54.6 = 5460 cm³Volume of the medallion:
5460 - 5300 = 160 cm³Density = mass / volume
Density is:
3.088/160 = 19.3 g / cm³Carlos is NOT correct because
Answer:
Carlos should do his own work
You can write the equation of the line if you have two points on the line.
Is that true or false?
What is the length of the longest side ?
Answer:
11 feet (Option C)
Step-by-step explanation:
Let the longer side be l and the shorter side be b.
We know that,
→ Perimeter of rectangle = 2 ( longer side + shorter side )
Here,
Perimeter of rectangle is 32 feet.→ 32 = 2 (l + b)
→ 32 = 2l + 2(5)
→ 32 = 2l + 10
→ 32 - 10 = 2l
→ 22 = 2l
→ [tex] \sf \dfrac{22}{2} [/tex] = l
→ 11 = l
→ 11 feet = longer side
[tex] \therefore [/tex] Length of the longer side is 11 feet.
Write the ratio, Explain what the ratio means . 6 basketballs to 4 soccer balls
Answer:
6:4
This ratio means that for every 6 basketballs there are 4 soccer balls.
Approximate the distance between (0, -5) and (4, 1) to the nearest tenth, if necessary.
Answer:
7.7
Step-by-step explanation:
To solve this question we must use Pythagoras (a²+b²=c²) Let those two dots be A and B respectively.Imagine a line is drawn that pases through both dots,
Imagine that the line given is the hypotenuse (the longest side of a right-angled triangle) of a right-angled triangle and the other sides as a line from A going to the right, and a line from B going downwards, making the final vertexes for the triangle at coordinates: 0,-5 4,1 and 4,-5 (the vertex we made). now we find the lengths for the sides: 4 and 6 so we use these to plug them into pythagoras's equation:
4²+6²=c²
24+36=c²
√60=c
c=7.74....
But all we need is until the tenths so the answer is 7.7 (as the hundredths digit, 4, rounds down)
Which value of x is the solution to the equation 4(-3x+8)= -16?
answer choices:
1. -4
2. -2
3. 2
4. 4
explain
Answer:
x = 4
Step-by-step explanation:
4(-3x + 8) = -16
Divide both sides by 4
-3x + 8 = -4
Subtract 8 from both sides
-3x = -12
Divide both sides by -3
x = 4
Find the area of the figure.
Answer:
28.5 units²
Step-by-step explanation:
Shape 1 - ( length * width ) 3*5 = 15
Shape 2 - ( length * width ) 3*3 = 9
Shape 3 - ( height * base / 2 ) 3*1.5 = 4.5
What is the answer to this?-
Answer:
Yes it is congruent by HL
Can you help me for brainlist and explain it to me.
5)
You are told that the median score on
these four cards is 9.5
Work out what the number is on the
bottom card.
7
15
8
Answer:
11
Step-by-step explanation:
7 8 11 15
median (8+11)/2=19/2=9.5
Which equation does the graph below represent
Answer:
4) y=-4x
Step-by-step explanation:
The lines goes down 4 units as it moves 1 unit right.
9. Joanna is considering two job offers. Phoenix Fashions offers
$1500/month plus 2.5% commission. Styles by Rebecca offers
$1250/month plus 5.5% commission.
a) Create a linear system by writing an equation for each salary.
b) What value of sales would result in the same total salary
for both jobs?
c) Which job should Joanna take? Explain your answer.
Answer:
A] 1500 + 0.025x , 1250 + 0.055x ; B] Sales value = 8333
C] Offer 1, if prefers more fix salary over additional incentive. And, offer 2 if prefers additional incentive over fix salary.
Step-by-step explanation:
Let the sales be = x
A] Offer 1 = 1500 + 2.5% comm on sales = 1500 + 2.5%x = 1500 + 0.025x
Offer 2 = 1250 + 5.5% comm on sales = 1250 + 5.5%x = 1250 + 0.055x
B] Value of sales, resulting in total salary : at equation 1 = equation 2
1500 + 0.025x = 1250 + 0.055x
1500 - 1250 = 0.055x - 0.025x → 250 = 0.03x
x = 250 / 0.03 → x (Sales value) = 8333
C] Which job she should take, would depend on her preferences.
If she wants more fixed salary, & less above per unit achievement, she should take offer 1 as fixed salary 1500 > 1250. If she wants less fixed salary & more additional incentives, she should take offer 2, as commission 5.5% > 2.5%
The math team at Felix's school includes students from the sophomores, juniors, and senior classes. Felix wants to create a display to show the percent of students on the math team from each class. Which type of graph best represents the data?
a: stem and leaf plot
b: circle graph
c: line graph
Answer:
B
Step-by-step explanation:
A circle graph also known as a pie chart is used to represent data graphically. the circle graph is made up of a circle that is divided into quadrants. Each quadrants represents different classifications of data and the proportion of each classification.
the sum of angles in a pie chart is 360 degrees while the total percentages is 100%.
If there are 25% of the students in a class each take maths, physics , biology and chemistry, the pie chart would be divided into 4 quadrants with each quadrant measuring 25%
A Rectangle has diagonals of length 13 cm and width is 5 cm. Find the length of its side?
Answer:
Length = 12 cm
Step-by-step explanation:
using the Pythagorean theorem:
Length² = 13² - 5² = 169 - 25 = 144
Length = √144 m= 12 cm
Answer:
It's 34 cm
Step-by-step explanation:
Width of a rectangle = 5 cm
Diagonal of a rectangle = 13 cm
By Pythagoras Theorem,
Length of a rectangle = √(13² - 5²)
Or, Length of a rectangle = √(169 - 25)
Or, Length of a rectangle = √144
Or, Length of a rectangle = 12 cm
Perimeter of a rectangle = 2(12+5)
Or, Perimeter of a rectangle = 2×17
Or, Perimeter of a rectangle = 34 cm
Therefore, the perimeter of a rectangle = 34 cm
i need this done rn plz help
Answer:
answer for yes total, is 5, the answer for no total is 20, the total for junior is 17, and the total for senior is 8.
Step-by-step explanation:
What you do is you add the 2 values. for example, to find the total for the juniors, you would add 1 to 16.
A fence around a square garden has a perimeter of 48 feet. What is the exact
length of the diagonal of this square garden?
Answer:
12
Step-by-step explanation:
What is an equation of the line that passes through the points (-4,-3) and (3,-3)
Answer:
y=-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-(-3))/(3-(-4))
m=(-3+3)/(3+4)
m=0/7
m=0
y-y1=m(x-x1)
y-(-3)=0(x-(-4))
y+3=0(x+4)
y+3=0
y=0-3
y=-3
Answer correctly please !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Side Length AB = 22
Side Length CB = 35.21
Side Length = 41.52
Angle A = 58°
Angle B = 90°
Angle C = 32°
Step-by-step explanation:
Side Length CB;Tan(32) = 22 / CB
Tan(32) * CB = 22
CB = 22 / Tan(32)
CB = 35.21
Side Length AC; (Now that we know the Length of AB and BC)22² + 35.21² = AC²
484 + 1239.74 = AC²
1723.74 = AC²
[tex]\sqrt{1723.74}[/tex] = AC
41.52 = AC
Angle A (Since we know Angle B and Angle C)Angle A + Angle B + Angle C = 180°
Angle A + 32° + 90° = 180
Angle A + 122 = 180
Angle A = 180 - 122
Angle A = 58°
Hope this helps!
Answer:
Sine Rule will apply here too
22/Sin32° = AC/sin90
AC = 22sin90/sin32
AC=41.52(To the nearest 100th)
Angles in a triangle =180
Angle A = 180 - 90 - 32
Angel A = 58°
BC/Sin58 = 22/sin32
BC = 22sin58/sin32
BC=35.21 (Nearest 100th).
Have a great day!
PLS HELP QUICK
how do i solve this
Answer:
[tex]\pi \times r = 3.14 \times 5 = 15.7[/tex]
A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from the bag. What expression would give the probability that one marble is yellow and the other marble is red?
P(Y and R) = StartFraction (8 P 1) (5 P 1) Over 25 P 2 EndFraction
P(Y and R) = StartFraction (8 C 1) (5 C 1) Over 25 C 2 EndFraction
P(Y and R) = StartFraction (1 C 8) (1 C 5) Over 2 C 25 EndFraction
P(Y and R) = StartFraction (1 P 8) (1 P 5) Over 2 P 25 EndFraction
Answer:
The answer is B! P(Y and R) = StartFraction (8 C 1) (5 C 1) Over 25 C 2 EndFraction
Answer:
The Second Option
Step-by-step explanation:
Edge '21
A square has a side length of 12 cm. Which of the following is closest to the length of its diagonal? A) 9 cm B) 12 cm C) 12v 2 cm D) 24V3 cm 12 VT Fora
2 items divided EQUALLY by 5?? HELP
PLEASE HELP ASAP
answer has to be in simplest radical form
find s
Answer:
s = 6√3
Step-by-step explanation:
We can recognize that the triangle in the image is a special 30 - 60 - 90 triangle. In a 30 - 60 - 90 triangle, the leg opposite the 60 degree angle, s, is √3 times the leg opposite the 30 degree angle, in this case 6m. We can write an equation to model the situation:
s = 6 * √3
s = 6√3