Algebraically, find the roots of x² - 4x - 5 = 0
Solution:-x² - 4x - 5 = 0 (Given equation)
Here a = 1, b = -4 and c = -5
[tex] \therefore [/tex] b² - 4ac = (-4)² - (-4) × 1 × -5 = 16 - 20 = -4 < 0
There are no real roots for the given equation. [Answer]Find the surface area of the cylinder.
Answer:
1188 inches
Step-by-step explanation:
Answer:
The surface area of the cylinder with a radius of 7 and height of 20 would be 1186.92.
Step-by-step explanation:
The formula as given by the image is
h=20, r=7.
Substitute your radius and height as follows:
SA=[tex]SA=2*pi*r^2+2pi*r*h\\(2*3.14*7^2)+(2*3.14*7*20)[/tex]
And now solve!
307.72+879.2=1186.92
The answer would be 1186.92
Justin wants to buy a new pair of jeans. If the jeans were originally $50.00, but are on sale with a 30% discount, how much will Justin have to pay for the jeans?
Original price of jeans=$50
Since there is a discount of 30%
So we take 100%-30%=70%
hence to find the price Justin have to pay after discount, we take $50x70/100=$35
Therefore Justin has to pay $35 for the jeans after discount.
A can contains 24 fluid ounces of fruit juice. How many pints of fruit juice does the can contain.
A.12pt
B.3pt
C.1 1/2
D.1/3
Answer:
Step-by-step explanation:
C
1 pint = 16 ounces
Find the length of the rectangle.
Answer:
10 in.
Step-by-step explanation:
7x2=14
The perimeter is 34 in.
34-14= 20 in.
20 in. = L2= 10(2)
10=L
PLZ HELPLPLPLPLP!!!!
Answer:
c) 50
Step-by-step explanation:
√36 + 2 * 5^2 - 6
√36 = 6, 5^2 = 25
6 + 2 * 25 - 6 = 25 2 * 25 = 50, 6 + 50 - 6, 50
round 0.185309 to 2 SF
Answer:
0.19
Step-by-step explanation:
Find first 2 whole numbers and round up
Answer:
Step-by-step explanation:
Rounding to the nearest hundredth; 0.19
Round to the nearest tenth; 0.2
Round to the nearest thousandth; 0.185
Round to the nearest whole number; 0
Hope this helped.
³√73-(-3)², calculate the value
18 to 12 in its simplest form
Answer:
the answer is 3 to 2...........
A block of wood measures 9.5 inches by 1.5 inches by 8 inches. What is the volume of the block of wood?
Answer:
114
Step-by-step explanation:
L=9.5 inches W=1.5 inches H= 8 inches
V=LWH=9.5*1.5*8=114
Consider the following sequence
152, -76, 38, -19
Write a rule for the nth term and then find [tex]a_7[/tex]
Answer:
a₇ = 2.375
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
r = [tex]\frac{-76}{152}[/tex] = [tex]\frac{38}{-76}[/tex] = [tex]\frac{-19}{38}[/tex] = - [tex]\frac{1}{2}[/tex]
This indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 152 and r = - [tex]\frac{1}{2}[/tex] , then
[tex]a_{n}[/tex] = 152 [tex](-\frac{1}{2}) ^{n-1}[/tex] , so
a₇ = 152 [tex](-\frac{1}{2}) ^{6}[/tex] = 152 × [tex]\frac{1}{64}[/tex] = 2.375
Answer:
Solution given:
first term [a]=152
second term[b]=-76
common ratio[r]=[tex] \frac{-76}{152}[/tex]=-1/2
now
for nth term ,we have
nth term =a [tex] {r}^{n -1} [/tex]
now
7th term==152[tex] {-1/2}^{7 - 1} [/tex]
=152×1/64=19/8
Which of the following statements about the similarity between rectangles and squares is not true?
Both rectangles and squares are quadrilaterals.
Both rectangles and squares have two sets of parallel sides.
Both rectangles and squares have four right angles.
Both rectangles and squares have four sides of equal length.
Answer:
Both rectangles and squares have four sides of equal length.
Step-by-step explanation:
Rectangle and square are the geometrical figures having four sides. They are the quadrilaterals with four sides. A rectangle is the quadrilateral in which opposite sides are equal. In a square all the sides are of equal length. The sides of both the rectangle and square are parallel. All angles form the right angles.
If you used about 25 ft to create the garden border, what is the approximate diameter of the garden to the nearest foot. Use π ≈ 3.14.
7.96 should be the answer.
Which equation is NOT true based on the Pythagorean Theorem
Answer:
b = √(c² + a²)
Step-by-step explanation:
Answer:
The last one
Step-by-step explanation:
10) If two angles in a triangle measure 53 degrees and 45 degrees, what is the value of the
third angle?
A. 8 degrees
B. 42 degrees
C. 82 degrees
D. 98 degrees
how would you solve this?
Answer:
d
Step-by-step explanation:
Guide Questions:
1. How do you saive for the area of the shaded region in figure A?
2. How do you solve for the area of the shaded region in figure B?
3. Is method finding the shaded region in figure A and B the same? Why? or Why not?
please answer on 3 i need answers for that number 3 questions
Answer:
1. The area is found by using the formula for a rectangle
The area is 150 cm²
2. The area is found by the definite integral for the area between two points under a curve
3. The methods are different
The methods are different because the area of figure A is found by the multiplication between the dimensions, while the area of figure B is found by the difference between the values of the integral of the function between the points
Step-by-step explanation:
1. The area of the shaded figure A is found by multiplying the dimensions of the figure, which is the length multiplied by the breadth of the figure
From the question, we have;
The area of the rectangular figure, A = Length × Breadth
The length of the figure = 15 cm
The breadth of the rectangular figure = 10 cm
Therefore, we have;
A = 15 cm × 10 cm = 150 cm²
The area of the rectangular figure, A = 150 cm²
2. The bell shape of the figure B is obtained from a function f(x) as obtained from MIT mathematics website as follows;
[tex]f(x) = e^{-t^2}[/tex]
Therefore the area of the shaded region in the bell shaped figure between the points 0 and 1 on the x-axis is found by integration as follows;
[tex]A = \int\limits^1_0 {e^{-t^2}} \, dt = \dfrac{1}{2} \cdot \sqrt{\pi} \times erf(t)[/tex]
Using a graphing calculator, we have;
[tex]A = \int\limits^1_0 {e^{-t^2}} \, dt \approx 0.746824[/tex]
3. The method of finding the area of figure A is different from the method of finding the area of the figure B
The methods are different because the area of figure A is the area of the whole figure of a geometric shape with known formula for area while the area of of the shaded region has no predefined formula but is calculated using the calculus for the area under a curve.
The bakers at Healthy Bakery can make 180 bagels in 5 hours. How many bagels can they bake in 22 hours? What was that rate per hour?
Answer:
34
Step-by-step explanation:
Answer:
Step-by-step explanation: 180 bagels
The unit rate, in bagels per hour, is ---------------------- = 36 bagels/hour
5 hours
In 22 hours, the bakery can bake (36 bagels/hour)(22 hours) = 792 bagels
I need help with my iCloud and I just started it
Answer:
m<U=60°
Step-by-step explanation:
[tex] \sin( sut) = \frac{st}{ut} \\ = \frac{7 \sqrt{114} }{14 \sqrt{38} } = \\ \frac{ \sqrt{3} }{2} \\ = > u = 60[/tex]
a pool designer constructs a frame for an in ground pool.The width of the border frame f,is 0.75 foot greater than the width of the pool,p. Wrists an equation that models the width of the border frame with respect to the width of the pool.
Answer:
(f + 0.75 ) - p = c
Step-by-step explanation:
Help pls and no links
At Trudy's Pancake House there are 16 dirty coffee mugs and 48 clean coffee mugs. What percentage of the coffee mugs at the pancake house are dirty?
Write your answer using a percent sign (%).
Meri is making birdhouses. Each birdhouse uses 5/8 yard of wood. What is the total length of wood Meri will need to make 7 birdhouses?
Answer:
4.375 yards of wood
Step-by-step explanation:
You would do 5/8 time 7/1. Then you would do 5 times 7 and get 35. Then you'd do 8 times 1, which equals 8. 35/8 is equivalent to 4.375
i don’t understand help
Answer:
23
Step-by-step explanation:
89+150+67+(2y+8)=360
2y+8=54
2y=46
y=23
May you please help me it's very confusing for me.
Answer:
First row going down
29=5x-1
x=6
3x+7=28
x=7
58=5x+3
x=11
48=3x+3
x=15
Second row going down
3+4x=23
x=5
9+ x/3 =13
x=12
4x-13=27
x=10
7x+8=15
x=1
Third row going down (starting from top)
2x+1=7
x=3
3x-2=10
x=4
x/2 +5=6
x=2
10=8+x/4
x=8
2x/3=6
x=9
12+x/5=12
x=0
18=3x/4
x=24
Find the common difference, d, given that 8x-3, 4x+1, 2x-2 are consecutive terms of an
arithmetic sequence.
A)1/6
B) -10
C) 10
D) 5
Answer:
B
Step-by-step explanation:
We are given that:
[tex]8x-3, \, 4x+1, \text{ and } 2x-2[/tex]
Are consecutive terms of an arithmetic sequence.
And we want to determine the common difference d.
Recall that for an arithmetic sequence, each subsequent term is d more than the previous term.
In other words, the second term is one d more than the first term. So:
[tex]4x+1=(8x-3)+d[/tex]
And the third term is two d more than the first term. So:
[tex]2x-2=(8x-3)+2d[/tex]
We can isolate the d in the first equation:
[tex]-4x+4=d[/tex]
As well as the second:
[tex]-6x+1=2d\Rightarrow \displaystyle -3x+\frac{1}{2}=d[/tex]
Then by substitution:
[tex]\displaystyle -4x+4=-3x+\frac{1}{2}[/tex]
Solve for x:
[tex]\displaystyle -x=\frac{-7}{2}\Rightarrow x=\frac{7}{2}[/tex]
The isolated first equation tells us that:
[tex]d=-4x+4[/tex]
Therefore:
[tex]\begin{aligned} \displaystyle d&=-4\left(\frac{7}{2}\right)+4\\&=-2(7)+4\\&=-14+4\\&=-10 \end{aligned}[/tex]
Our final answer is B.
Answer:
B.) - 10 is the answer.
Step-by-step explanation:
#CarryOnLearningThe radius of a baseball is approximately 2.5 inches. What is its volume?
Answer:Below
Step-by-step explanation:
A baseball is round.
So, the diameter and the height are the same.
The radius is half of the diameter, so: 2.5 x 2 = 5
The height is also 5.
The Volume is 65.45
Answer:
Step-by-step explanation:
The Volume is 65.45
What is the measure of Angle A?
A pentagon. Angle A is unknown, angle B is 70 degrees, angle C is 132 degrees, angle D is 132 degrees, angle E is 70 degrees.
_°
Answer:
136
Step-by-step explanation:
The sum of interior angles of a polygon is (n-2)x180 where n is the no. of sides. Here n=5 Therefore sum of int. angles = (3-2)x180= 3x180=540.
Sum of all given angles =404.
Remaining angle= 540-404=136
Answer:
136
Step-by-step explanation:
i just took the test
3. Jim plotted the following ordered pairs on a coordinate grid.
(1,3) (3,6) (7,6) (9,3)
O
(4,5)
9
O
(8,6)
8
7
O
(5,7)
6
5
4
O
(3,1)
3
CLEAR ALL
2
1
0 1 2 3 4 5 6 7 8 9
Jim connected the points with line segments to form a polygon. Which point is
located inside the polygon?
Answer:3,1
Step-by-step explanation: you first make sure you put your ordered pairs in the coordinate grid then look for what’s inside the polygon look for your accurate awnser 3,1
Answer:
D is the answer
The manufacturer of a certain brand of aluminum foil claims that the amount of foil on each roll follows a Normal distribution with a mean of 250 ft2 and a standard deviation of 2 ft2. To test this claim, a restaurant randomly selects 10 rolls of this aluminum foil and carefully measures the mean area to be ¯ = 249.6 ft2
Find the probability that the sample mean area is 249.6 ft2 or less if the manufacturer’s claim is true
Answer:
Given that the manufacturers claim is true, the probability that the sample mean area is 249.6 ft.² or less is 0.42074
Step-by-step explanation:
The manufacturer claims that mean amount of foil on each roll, μ = 250 ft²
The standard deviation of the measured amount of foil per roll, σ = 2 ft.²
The number of rolls tested by the restaurant, n = 10 rolls
The mean measured by the restaurant, [tex]\overline x[/tex] = 249.6
Taking the sample means as individual score, we have;
The z-score, of the sample mean is given as follows;
[tex]z=\dfrac{\overline x -\mu }{\sigma }[/tex]
At [tex]\overline x[/tex] = 249.6, we have;
z = (249.6 - 250)/2 = -0.2
Therefore, the probability for a mean less than or equal to 249.6, we have;
The probability, P = P(z < -0.2) = 0.42074
The probability that the sample mean area is 249.6 ft.² or less given that the manufacturers claim is true, P = 0.42074.
Can someone please help!?!?
Answer:
B x=60, y=60
Step-by-step explanation:
The triangle should equal 180 in total. It shows 60 already on top then you would add them all up 60+60+60=180 degrees.
Answer:
B
Step-by-step explanation:
x=60 and y=60.
“In order to solve the question below, what would be a valid first step?”
A, b, c or d ?
Answer:
You answer would be option B
Step-by-step explanation:
You would have to open parenthesis/distribute 4 by multiplying it by x and 8 which are inside the parenthesis.
