Answer:
Step-by-step explanation:
lcm = 3150
hcf= 15
A man bought 5 laptops and a desktop for taka 229600. If a laptop costs taka 32750 find the cost of the desktop
Answer:
65850
Step-by-step explanation:
Answer:
65,850
Step-by-step explanation:
5 laptops costs 163,750(5x32750). Total costs of 229,600-laptops 163,750=costs of desktop 65850.
Determine if the three side lengths given can create a triangle or not. Prove it by working out the inequality.
25cm, 13cm, 14cm
a. yes a triangle can be constructed
b. no a triangle can not be constructed
Hello, I Am BrotherEye
Answer:
A. Yes a triangle can be constucted
Step-by-step explanation:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
~
BrotherEye
if 70kg is 20% of peter's weight, then what is peter's total weight?
Answer:
14
Step-by-step explanation:
20\100×70=14........
Find the equations of the vertical and horizontal tangent lines of the following ellipse.
16x2 + y2 - 128x + 3y + 256 = 0
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Answer:
x = 3.625; x = 4.375y = 0; y = -3Step-by-step explanation:
We can rewrite the equation to standard form to see the center and semi-axis lengths.
16x^2 -128x +y^2 +3y = -256
16(x^2 -8x +16) +(y^2 +3y +2.25) = -256 +256 +2.25
16(x -4)^2 +(y +1.5)^2 = 9/4 . . . . . write as squares
(x -4)^2/(9/64) +(y +1.5)^2/(9/4) = 1 . . . . divide by 9/4
((x -4)/0.375)^2 +((y +1.5)/1.5)^2 = 1 . . . . put in useful form
In this form, we have ...
((x -h)/a)^2 +((y -k)/b)^2 = 1
where (h, k) is the center, 2a is the length of the axis in the x-direction, and 2b is the length of the axis in the y-direction. The required tangents are ...
x = h±a
y = k±b
For the given ellipse, the tangent lines are ...
x = 4 -0.375 = 3.625, x = 4.375y = -1.5 -1.5 = -3, y = -1.5 +1.5 = 0Question
What is the net signed area between f(x) = 2x + 3 and the x-axis over the interval (-4,2]? Do not include any units in
your answer
Provide your answer below:
Answer:
Step-by-step explanation:
2 units squared.
Explanation:
You can go about this in two ways: Algebra and Integrals.
Algebra
y = 2x-6 is linear, thus if we take the value over the x interval [2,4] we can use geometry to calculate the area.
graph{2x-6 [-2.27, 7.73, -2.18, 2.82]}
You can see two triangles in the graph (you could also find this algebraically). Thus, you can calculate the area.
=
2
⋅
(
1
2
⋅
b
⋅
h
)
=
2
⋅
(
1
2
⋅
1
⋅
2
)
=
2
square units
Integrals
An integral gives the area under the curve. Remember though that if a function goes below the X axis, the integral is negative Thus you have to do two separate integrals based on the X intercept.
finding the X intercept (that is where y = 0)
2
x
−
6
=
0
x
=
3
when
y
=
0
When
x
<
3
, then y is negative. Thus, we have to find the negative integral from 2 to 3 and the positive integral from 3 to 4
=
−
∫
3
2
2
x
−
6
d
x
+
∫
4
3
2
x
−
6
d
x
=
−
[
x
2
−
6
x
]
3
2
+
[
x
2
−
6
x
]
4
3
=
−
[
9
−
18
−
4
+
12
]
+
[
16
−
24
−
9
+
18
]
=
−
[
−
1
]
+
[
1
]
=
2
units squared. And Tada, that is the same as the other answer!
Using integrals, it is found that the area of the function is of 6 squared units.
The area of a function f(x) over an interval [a,b] is given by:
[tex]A = \int_{a}^{b} f(x) dx[/tex]
In this problem:
Interval (-4, 2), thus [tex]a = -4, b = 2[/tex].Function [tex]f(x) = 2x + 3[/tex], thus:[tex]A = \int_{-4}^{2} 2x + 3 dx[/tex]
[tex]A = x^2 + 3x|_{x = -4}^{x = 2}[/tex]
[tex]A = 2^2 + 3(2) - [(-4)^2 + 3(-4)][/tex]
[tex]A = 4 + 6 - 4[/tex]
[tex]A = 6[/tex]
The area is of 6 squared units.
A similar problem is given at https://brainly.com/question/20733870
2 1/6 feet equal how many inches in fraction form
I really need help I would appreciate it if someone could help me
Answer:
a) The vertex of the graph is [tex](h,k) = (0, 31)[/tex], b) [tex]a = -16[/tex], c) The equation of the parabola is [tex]f(t) = -16\cdot t^{2}+31[/tex].
Step-by-step explanation:
a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.
The vertex of the graph is [tex](h,k) = (0, 31)[/tex].
b) If we know that [tex](h,k) = (0, 31)[/tex], [tex]f(t) = a\cdot (t-h)^{2} + k[/tex] and [tex](t,f(t)) = (1,15)[/tex], then the value of [tex]a[/tex] is:
[tex]f(t) = a\cdot (t-h)^{2} + k[/tex]
[tex]15 = a\cdot (1-0)^{2}+31[/tex]
[tex]15 = a\cdot 1 + 31[/tex]
[tex]a = 15-31[/tex]
[tex]a = -16[/tex]
c) The equation of the parabola is [tex]f(t) = -16\cdot t^{2}+31[/tex].
Which product is the better deal
A. Washing Powder
B. Super Clean
(easy)
Answer:
Washing Powder
Step-by-step explanation:
Cost less and cleans better.
Answer:
The washing powder I think?
Step-by-step explanation:
Is 3 tens more than 25 ones
Answer:
yes ofc boiiiiii 3 tens=30 ones boiiii and 25 ones=2 tens and 5 ones boiiiii
Step-by-step explanation:
In 1.8 s, a smart and swift dachshund caught his prey that was 8.5 m away what was the dogs speed?
Congruent angles are not equal.
A. True
B. False
Answer:
false
Step-by-step explanation:
Answer:
Congruent angles are equal. The answer is false
ASAPPP! An arrow is shot into the air. A function representing the relationship between the number of
seconds it is in the air, t, and the height of the arrow in feet, h, is given by the equation below.
What is the initial height of the arrow?
h(t) = -16t^2+ 128t + 1.5
Answer:
The initial height of the arrow is 1.5 feet above the ground.
Step-by-step explanation:
Let be the height of the arrow be represented by the function [tex]h(t) = -16\cdot t^{2}+128\cdot t + 1.5[/tex], where [tex]h(t)[/tex] is the current height of the arrow, measured in feet, and [tex]t[/tex], is the time, measured in seconds.
Mathematically speaking, the initial height is the value of [tex]h[/tex] evaluated at [tex]t = 0\,s[/tex]. That is:
[tex]h(0) = -16\cdot (0)^{2}+128\cdot (0) + 1.5[/tex]
[tex]h(0) = 1.5\,ft[/tex]
The initial height of the arrow is 1.5 feet above the ground.
You need to make 8 servings of fried fish.
Each serving takes 7.5 ounces of flour.
How many ounces of flour do you need?
Answer: 60 ounces of flour
Step-by-step explanation:
8•7.5=60
What’s the answer to question 1,2,3,4?
Answer:
1. y=0
2. y=2
3. y=4
4. y=-2(-4)-4
=32
Answer:
y = 2x
x = 0
y = 2*0 = 0
Answer: 0
x = 1
y = 2*1 = 2
Answer: 2
x = 2
y = 2*2 = 4
Answer: 4
y = -2x - 4
x = -4
y = -2*-4 - 4 = 8 - 4 = 4
Answer: 4
Step-by-step explanation:
If sin 49° is approximately 3/4, which is closest to the length of the of NO ?
Options
25 m
66 m
75 m
80 m
Answer:
75 meters.
Step-by-step explanation:
In this case, you are trying to find side length NO. In accordance to SOH CAH TOA, you can use a sine function to find the missing side length, since you are given the hypotenuse.
sin(49) = x / 100
x = sin(49) * 100
x = 0.7547095802 * 100
x = 75.47095802
So, the closest answer would be 75 meters.
Hope this helps!
uppose a large telephone manufacturer has a problem with excessive customer complaints and consequent returns of the phones for repair or replacement. The manufacturer wants to estimate the magnitude of the problem in order to design a quality control program. How many telephones should be sampled and checked in order to estimate the proportion defective to within 4 percentage points with 83% confidence
Answer:
The answer is "294.2075".
Step-by-step explanation:
Given:
[tex]\hat{p} = 0.5 \\\\1 - \hat{p} = 1 - 0.5 = 0.5\\\\E = 4\% = 0.04\\\\[/tex]
At [tex]83\%[/tex] confidence level the z is ,
[tex]\alpha = 1 - 83\% = 1 - 0.83 = 0.17\\\\\frac{\alpha}{2} = \frac{0.17}{2} = 0.085\\\\Z_{\frac{\alpha}{2}} = Z_{0.085} = 1.3722\\\\n = (\frac{Z_{\frac{\alpha}{2}}}{E})^2 \times \hat{p} \times (1 - \hat{p})\\\\[/tex]
[tex]= (\frac{1.3722}{0.04})^2 \times 0.5 \times 0.5\\\\= (34.305)^2 \times 0.5 \times 0.5\\\\= 1,176.83 \times 0.5 \times 0.5\\\\= 1,176.83 \times 0.25\\\\=294.2075[/tex]
I really need help it’s due by 12:00
Answer:
what do you do
Step-by-step explanation:
SQDANCEFAN ECSPECIALLY PLZ HELP ME THX SO MUCH!!! Or anyone else can answer if they know, but if you put stu-pid answers you will be reported
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Answer:
90.1 m
Step-by-step explanation:
The length of the shortcut is the hypotenuse of a right triangle with side lengths 30 and 85. That length can be found using the Pythagorean theorem.
PQ² = 30² +85² = 8125
PQ = √8125 ≈ 90.1
The length of the shortcut is 90.1 meters.
Find the missing number if the following
subtraction is in base six
4 5 2
* * *
254
quais as raízes de:
(x^2)-(2^x)-1=0
Answer:
Step-by-step explanation:
Find the value of "x" in each angle
Answer:
x = 45°
Step-by-step explanation:
x = 90° - 45° = 45°
Which line has the same slope as the lone passing through (-4,-1) and (-1,-7)
1) 6x+3y=5
2)y=-1/2x-7
3)y=-2
Answer:
1) 6x+3y=5
Step-by-step explanation:
1) First, find the slope of the line passing through (-4, -1) and (-1, -7). Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the two points into the formula and solve:
[tex]m = \frac{(-7)-(-1)}{(-1)-(-4)} \\m = \frac{-7+1}{-1+4} \\m = \frac{-6}{3} \\m = -2[/tex]
So, the slope is -2.
2) Now, identify the slopes of the lines in the options. We already know the slope of [tex]y = -\frac{1}{2} x-7[/tex] is [tex]-\frac{1}{2}[/tex] since it is in slope-intercept form. y = -2 must have a slope of 0 since it's horizontal, and all equations with the format of y = a number are horizontal.
To find the slope of [tex]6x + 3y = 5[/tex], isolate y to put the equations into slope-intercept form ([tex]y = mx + b[/tex] format), and whatever the coefficient of the x-term is will be the slope.
[tex]6x + 3y = 5\\3y = -6x+5\\y = -2x + \frac{5}{3}[/tex].
So, the slope of the first option is -2. It matches the slope we calculated in the first step, so that must be the answer.
Please SHOW YOUR WORK!
Thanks In Advance, Will Mark Brainliest!
Please help ! Please help!
Answer:
The answer is 75 degrees.
Step-by-step explanation:
The explanation is that the the supplementary angle to 80 is 100 since a straight line has an angle of 180, now the 100 degree angle is congruent to the angle x + 25 which means that x + 25 is equal to 100 so x is 75
Mr.haynes pays 136.78 for cable and internet each month .How much does mr.hayes pays for cable and internet over a period of a year.
Find an equation of the line satisfying the following conditions: Point (3,2);m= -5/6
Answer:
A
Step-by-step explanation:
y -2 = -5/6(x -3)
y-2 = -5/6x + 15/6
y = -5/6x + 27/6
y = -5/6x + 9/2
3% as a fraction
a- 1/50
b-3/100
c-30/100
Answer:
b
Step-by-step explanation:
Answer:
The answer is b
Step-by-step explanation:
100 represents a whole amount so the numerator would be 3 over 100 because it is 3% out of a total of 100.
a school has 900 students. 1/6 of the students in the school are in year 7. 2/5 of the year 7 students are going on a trip to the castle. how many year 7 students are going on the trip?
Answer: 12 students
Step-by-step explanation:
1/6 of 900 is 30 kids. and 2/5 of the 30 kids is 12
Which of the following equations could be solved to determine the length of RS?
Answer:
[tex] \frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7} [/tex]
Step-by-step explanation:
Given:
S = 52.5°
s = QR = 7
Q = 80°
q = RS = ?
Required:
Equation that could be used to find the length of RS
Solution:
We would need the law of Sines which is given as:
[tex] \frac{Sin(A)}{a} = \frac{Sin(B)}{b} = \frac{Sin(C)}{c} [/tex]
Applying the Law of Sines, we would have the following equation:
[tex] \frac{Sin(Q)}{q} = \frac{Sin(S)}{s} [/tex]
Plug in the values
[tex] \frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7} [/tex]
Therefore, the equation that can be used to determine the length of RS is [tex] \frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7} [/tex]
Find the value of x. Round to the nearest tenth
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Answer:
42.3
Step-by-step explanation:
The appropriate trig ratio is ...
Tan = Opposite/Adjacent
tan(78°) = x/9
x = 9×tan(78°)
x ≈ 42.3