Answer:
The unit price is $3.06
Step-by-step explanation:
Unit price is how much I unit of something costs. Therefore in order to find the unit price you just divide the total price by the number of units (in our case 5 folders). And so we get...
$15.30 / 5 = $3.06
Find the values of b such that the function has the given minimum value.
f(x) = x2 + bx − 21;
Minimum value:
−70
Answer: b = 14.
Step-by-step explanation:
We have the function:
f(x) = x^2 + b*x - 21
The minimum of a quadratic function will be at the vertex, and the vertex is at the value of x such that:
f'(x) = 2*x + b = 0
then the vertex is at:
x = -b/2
Then the minimum of the function f(x) will be:
f(-b/2) = (-b/2)^2 + b*(-b/2) - 21
and we know that the minimum value is -70, then:
f(-b/2) = -70 = (b^2)/4 - (b^2)/2 - 21
Now we need to solve this equation for b.
-70 = (b^2)/4 - (b^2)/2 - 21
-70 = -(b^2)/4 - 21
-70 + 21 = -(b^2)/4
49 = (b^2)/4
49*4 = b^2
196 = b^2
√196 = b = 14
The value of b is 14.
A billiard ball is struck by a cue. It travels 100 cm before ricocheting off a rail and traveling another 100 cm into a corner pocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45 degrees. How far is the corner pocket from where the cue initially struck the ball?
Answer:
76.53 cm
Step-by-step explanation:
From the question, the triangle formed has 2 sides and an included angle ;
Angle, θ = C = 45°
We use cosine rule :
Taking the side to find as c
a = 100 ; b = 100
From cosine rule :
c = sqrt(a² + b² - 2abCosC)
c = sqrt(100² + 100² - 2(100*100)Cos45
c = sqrt(10000 + 10000 - 20000 * 0.7071067)
c = sqrt(20000 - 14142.135)
c = sqrt(5857.865)
c = 76.536690
c = 76.53 cm
Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side KL. Round your answer to the nearest tenth.
Answer:
The answer is "31.888".
Step-by-step explanation:
When their respective angles were congruent or their side lengths have a constant relation, they know that two quadrilaterals are similar
FGHI is similar to JKLM because of quadrilateral
[tex]\to \frac{FG}{JK} =\frac{GH}{KL}=\frac{HI}{LM}=\frac{FI}{JM}\\\\\to \frac{GH}{KL} =\frac{HI}{LM}\\\\\to \frac{7}{KL}= \frac{9}{41}\\\\\to KL=\frac{7 \times 41}{9}=31.888\\\\[/tex]
Answer:
12.3
Step-by-step explanation:
Trust me I got it wrong
What is the slope????
Answer:
-6
Step-by-step explanation:
is that quizzes join lol
4
1
-4
-3
2
3
4
-1-
-2-
-3+
-4-
What is the slope of the line?
URGENT HELP NEEDED SO PLS HELP
Answer:
1. 18π
2. 39.27cm
3. 4[tex]x^{5}[/tex][tex]z^{8}[/tex]
Someone please help and please make sure the answer is right :(
Answer:
it's 11
Have a good day!!
Mary worked 2 3/4 hours on Monday and 1 1/2 hours on Tuesday. How many hours did she work in all on Monday and Tuesday?
4 and 1/4
Step-by-step explanation:
okay uh you turn the half into 2 fourths and add to get 3 5/4 then simplify and get 4 1/4
What is the area of this quadrilateral?
8 ft
6 ft
3.ft
A. 33 square feet
B. 42 square feet
C. 17 square feet
D. 66 square feet
Answer:
a. 33 sqft
Step-by-step explanation:
The figure is made of two non-overlapping triangles, so the total area is the sum of the areas of the two triangles
Area of a triangle is 1/2(bh) where b = base length and h = height (b and h must be perpendicular to each other)
The top triangle has b = 6 and h=8, so A=1/2(6)(8) = 1/2(48) = 24
The bottom triangle has b=6 and h=3, so A=1/2(6)(3)=1/2(18) = 9
Total area is sum of these two or 24 + 9 = 33
Figure ABCD is a rectangle. Find the value of x.
X= [?]
the answer is
x=2
qwertyuioplkjhgfdsazxcvbnmzxcvbnmasdfghjkgfwertyuytrewertyujhgfdsdefgbhgvftcdrxsxdrcftvgyvftcx4f
Fill in the missing number in this newspaper report:
Houses cost £100 000 one year ago
They now cost £
This is a 25% increase
How much does it now cost ?
Answer:
£125000
Step-by-step explanation:
Original cost of house = £100 000
Percent increase = 25%
Increase in price = 25% of 100,000
Increase in price = 0.25 * 100,000
Increase in price = 25000
New cost = original cost + Increment
New cost = 100,000 + 25,000
New cost = 125,000
Hence it now cost £125000
POSSIBLE POINTS: 33.33
Tyler can complete his Algebra Il project in 2.5 hours, but if he works with Luke they can finish in 1.5 hours. How long would it take Luke to finish the
project on his own?
what is the common difference of the arithmetic sequence 5,8,11,14?
Answer:
3
Step-by-step explanation:
8-5= 3
11-8= 3
14-11= 3
Answer:
common difference = difference between two consecutive number in a given series
hence,
8-5=3
common difference =3
Select the correct answer pls!!
The population of deer in a forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 percent per year.
Based on this prediction, about how many years will it take for the population to double in size?
Use the equation P = P.(1 + r)
in which Po represents the initial population size, rrepresents the growth rate, trepresents the number
of years, and Prepresents the final population size.
A.
5.0 years
B.
1.8 years
OC. 0.3 year
OD.
3.8 years
Answer:
35 years
Step-by-step explanation:
Given that:
Current deer population, P0 = 800
Growth rate = 20% yearly
For the population to double in size, P = 2 * P0 = 2 * 800 = 1600
t = number of years
Using the relation :
P =P0(1 + r)^t
1600 = 800(1 + 0.2)^t
1600 / 800 = (1.02)^t
2 = (1.02)^t
t = log2 / log(1.02)
t = (0.3010299 / 0.0086001)
t = 35.003069
t = 35 years
Answer:
3.8
Step-by-step explanation:
solve : 3x - 3 = 2x
if you can show workings that would be great thank you !
Answer:
3
Step-by-step explanation:
3x-3=2x
3x-2x=3
x=3
Answer:
x=3
Step-by-step explanation:
3x - 3 = 2x
-3x -3x
-3 = -x
The x cannot be a negative so you divide both sides by -1 and then the answer becomes x=3
The perimeter of a triangle is 19 units. The second side is four units longer than the first side and the third side is three times the length of the first side. What are the lengths of the sides?
Answer:
First: 3 units Second: 7 units Third: 9 units
Step-by-step explanation:
19=x+(x+4)+3x
19=5x+4
15=5x
x=3
first side is 3 units
3+4=7
second side is 7 units
3*3=9
third side is 9 units
3rd times the charm. Someone please help me.
find x=, if x-7=11 HURRY!!
Answer:
X = 18
Step-by-step explanation:
X - 7 = 11
Add 7 to both sides
X - 7 + 7 = 11+7
X = 18
g(1) if g(x) = x^2 + 1.
Answer:
g(1)=2
Step-by-step explanation:
g(1)= 1^2+1 (you fill in 1 for x)
g(1)=1+1 (1 to the second power is 1 times 1 which is 1 and then you add 1 and 1)
g(1)=2
Find the surface area of each prism. I'll give brainliest if you get it right.
Answer:
There's only one prism? But the answer is 366.
Step-by-step explanation:
39+39+27+27+117+117= 366
Answer:
368
Step-by-step explanation:
What is another way that you could rotate a figure 270° counter-clockwise? Be sure to state the degree amount and the direction.
Answer:
Turning it 90 degrees clockwise.
Step-by-step explanation:
They are opposite, and 360 degrees is a complete turn. 360-270=90
PLS HELP I REALLY NEED IT RNNNNNN 20 POINTSSS
Which function matches the mapping shown?
A) f(x) = 2x
B) f(x) = 4x
C) f(x) = x4
D) f(x) = x + 4
Answer:
B.f(x)=4x
Step-by-step explanation:
Multiply x value by 4
50 PTS BRAINLIEST
Use Desmos to graph the following system of equations. Paste a link to your Desmos graph.
y = 2/3x-2
y = 2/3x+5
How many solutions does the graph have?
Answer:
it has 5 hopefully this helps you with work
Answer:
No solutionsStep-by-step explanation:
Given lines:
y = 2/3x-2 y = 2/3x+5These have same slopes of 2/3 and therefore are parallel, so no intersection. There is no solution if lines don't intersect.
The graph is attached as well to show lines are parallel.
Izzy's Frozen Treats sells both frozen yogurt and frozen custard by the ounce. Last week, Marco noticed that a 3-ounce cup of frozen yogurt cost less than a 3-ounce cup of frozen custard. Marco has $5 to spend at Izzy's Frozen Treats today. Which can he buy more of, frozen yogurt or frozen custard?
A)frozen yogurt
B)frozen custard
plz show the work i really need help and this is Compare rates: word problems
Answer:
A. Frozen yogurt
Step-by-step explanation:
The frozen yogurt costs less than the frozen custard, even though you get the same amount (3 ounces)
No matter how much money Marco has, he would be able to buy more of the frozen yogurt because it has a cheaper unit rate.
So, the answer is A, frozen yogurt
Which graph shows a vertical translation of ƒ(x) up 5 units to give a new function g(x)?
I mist that one its not the first one
Step-by-step explanation:
Answer:
The correct answer is the last image...I just got it right on the quiz.
Step-by-step explanation:
WHOEVER ANSWERS FIRST GETS BRAINLIEST!! PLZ EXPLAIN CLEARLY
A standard sheet of paper in the United States is 11 inches long and 8.5 inches wide
Each inch is 2.54 centimeters. How long and wide is a standard sheet of paper in centimeters?
A standard sheet of paper in Europe is 21.0 cm wide and 29.7 cm long. Which has the greater area, the standard sheet of paper in the United States or the standard sheet of paper in Europe?
Answer:
Step-by-step explanation:
1 in = 2.54 cm
Part (a)
Answer: 8.268 in
Part (b)
Answer: 11.693 in
Part (c)
In SI units standard-sized paper is 21.0 cm by 29.7 cm, which is equivalent to 8.268 in by 11.693 in.
Answer: 8.268 in by 11.693 in.
Part (d)
The U.S sized standard paper is 8.0 in by 11.0 in. Therefore the SI (internationally) sized paper is longer.
Part (e)
If the U.S> adopts the SI standard for letter-sized paper, both the width and length of standard paper will have to be increased. Therefore letter-sized paper will occupy a larger area and will be heavier if the thickness and density do not change.
What is the slope of the line that passes through the points (-2, -3), and (5, 4)?
3
-1
1
-3
Answer:
Option 3: One
Step-by-step explanation:
Slope is y2-y1 over x2-x1
4-(-3)= 7
5-(-2)= 7
7/7 = 1
10×-50
---------- =13
5
Answer:
I think it's -500 = 135
Step-by-step explanation:
multiply 10 and -50 to get -500
How do I solve 2/3x-1=-3
does anyone know the answer?????
Answer:
-3x + 7
Step-by-step explanation:
she used the y-intercept as the slope and the slope as the y- intercept.
Answer:
its y= -3x+7
Step-by-step explanation:
she used the x intercept for the y - intercept and the y- intercept for the c-intercept