Simplify
a)78.5÷3.14
b)56.272×41.2
c)4 4/7÷5 1/3
I need step by step explanation pls
Answer:
[tex]78.5 \div 3.14 \\ = 25 \\ \\ 56.272 \times 41.2 \\ = 2318.4067 \\ \\ 44 \div 7 \div 51 \div 3 \\ = 0.04[/tex]
A coordinate plane.
A line goes through the point (–4,–2) and has an x-intercept of –1.
Which point also lies on the line?
A (–6,–5)
B (3,2)
C (4,5)
D (5,4)
Answer: D. (5, 4)
Step-by-step explanation:
An x-intercept of -1 means the point = (-1, 0)
So find the slope(m) using the formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex](x_{1},y_{1})=(-4,-2)\\(x_{2},y_{2})=(-1,0)\\\\m = \frac{0-(-2)}{-1-(-4)}=\frac{0+2}{4-1}=\frac{2}{3}[/tex]
Now find the y-intercept(b) by substituting a point into the function:
y = mx + b
[tex]y=\frac{2}{3} x+b\\\\0=\frac{2}{3} (-1)+b\\\\0=-\frac{2}{3}+b\\\\b=\frac{2}{3}[/tex]
So now the function is determined as [tex]y=\frac{2}{3} x+\frac{2}{3}=\frac{2}{3}(x+1)[/tex].
Bring each of the coordinates in to see if it fits in:
A. (-6, -5) [tex]\frac{2}{3}(-6+1)=\frac{2}{3}(-5)=-3.33\neq -5[/tex]
B. (3, 2) [tex]\frac{2}{3}(3+1)=\frac{2}{3}(4)=2.67\neq 2[/tex]
C. (4, 5) [tex]\frac{2}{3}(4+1)=\frac{2}{3}(5)=3.33\neq 5[/tex]
D. (5, 4) [tex]\frac{2}{3}(5+1)=\frac{2}{3}(6)=4[/tex]
Answer:
D(5,4)
Step-by-step explanation:
Took Quiz
Sales of a certain product are declining at a rate proportional to the amount of sales. If at the end of the first year the sales have declined by 22%, then how many years will have passed (since the beginning of the first year) when sales become only 31% of their original value? Express your answer as a decimal, correct to within 0.001 years.
Answer:
The answer is "6.093 years".
Step-by-step explanation:
The rate of decline in sales in [tex]22\%[/tex] per year.
The starting sales is 100 units:
Using compounding formula:
[tex]\to 100 \times (1-\frac{22}{100})^t=22\% \ of \ 100\\\\\to 100 \times (\frac{100-22}{100})^t=\frac{22}{100} \times \ 100\\\\\to (\frac{78}{100})^t=\frac{22}{100}\\\\\to 0.78^t=0.22\\\\\text{taking \log on both the sides}\\\\[/tex]
taking log on both sides
[tex]\to \log_e \ 0.78^t= \log_e\ 0.22\\\\\to t \log_e \ 0.78= \log_e\ 0.22\\\\\to t = \frac{\log_e 0.22}{\log_e 0.78}\\\\[/tex]
[tex]= \frac{-0.6575}{-0.1079}\\\\= \frac{0.6575}{0.1079}\\\\=6.093[/tex]
Calculate cos (theta) to two decimal places. PLS HELP ASAP
Answer:
B. -0.07
Step-by-step explanation:
Apply the Law of signs find θ.
Cos θ = (a² + b² - c²)/2ab
Where,
a = 7
b = 8
c = 11
Plug in the values
Cos θ = (7² + 8² - 11²)/2*7*8
Cos θ = (49 + 64 - 121)/112
Cos θ = -8/112
Cos θ = -0.0714285714
Cos θ = -0.07 (to 2 decimal places)
r(x)=2[tex]r(x)=2[/tex]
Answer:
Slope =0
y-intercept = (0,2)
I'm not really sure what you need to find.
The
hypothesis
represents the statistical claim that the company's
tablet computers have an average recharge time of
less than 3 hours.
Answer:
Alternative
Step-by-step explanation:
Answer:
U=3 , U<3 , alternative
Step-by-step explanation:
A chord is 6cm from the centre of a circle of radius 14cm. calculate the length of the chord with workings
Answer:
25.28 cm
Step-by-step explanation:
The chord is 6cm away from the centre of the circle . And the radius of the circle is 14 cm . We know that the perpendicular from the centre bisects the chord .
This will form a right angle triangle with the distance between centre and the code as its perpendicular and the length of radius as hypotenuse .
[tex]\implies Base^2+Perpendicular^2=Hypontenuse^2 \\\\\implies b^2 + (6cm)^2=(14cm)^2 \\\\\implies b^2 + 36cm^2= 196cm^2 \\\\\implies b^2 = 196cm^2-36cm^2 \\\\\implies b^2 = 160cm^2 \\\\\implies b=\sqrt{160cm^2}\\\\\implies b = 12.64 cm [/tex]
Hence the required answer is 12.64 × 2 = 25.28cm .
Hello,
Let's use the Pythagorian 's theorem.
The length of the chord = 8*V10=25,2982.... (cm)
Is the graph increasing, decreasing, or constant
A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
O A. 5
OB. 2
O C. 2 sxs7
D. 5sxs9
Answer:
D
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
The table shows the altitudes of four different cities. What is the correct way to arrange the altitudes in decreasing order?
City Altitude (feet)
Snowvale 13
Highbridge 58
Westsilver -51
Springmoor -35
A.
58, 13, -35, -51
B.
-51, -35, 13, 58
C.
-35, -51, 13, 58
D.
58, 13, -51, -35
Answer:
Step-by-step explanation:
i think A
Hope this helps!
What percent did the price drop
Answer:
10%
Step-by-step explanation:
You have the correct answer. Nice job!
Which of these is an exponential parent function?
Complete question is;
Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = 2^(x)
C. f(x) = x²
D. f(x) = |x|
Answer:
B. f(x) = 2^(x)
Step-by-step explanation:
> In option A, f(x) = x
This function depicts a straight line with intercept as 0 and slope as 1.
> In option C, f(x) = x²
This function depicts a parabola open up since the leading coefficient is greater than 0.
> In option D: f(x) = |x|
This function depicts a straight line y = x for x > 0 and y = -x for x < 0
In option B f(x) = 2^(x)
This function depicts an exponential function because the x is in the exponent form with a base of 2.
The graph plots four equations, A, b,c,and d
Which pair of equations has (0.8) as its solution?
Equation A and Equation C
Equation B and Equation
Equation C and Equation D
Equation B and Equation D
Answer:
equation A and equation c
Answer:
Equation A and Equation C
Find the measure of the indicated side
ANSWER:
10 units
EXPLAINATION:
The measure of the indicated side would be 10 units because the triangle shown here is a equilateral triangle this can be seen by the picture in which all the angles of the triangle are equal.
Clara lends half her collection of formal attires to her sister, Susan. Clara then buys four more attires. If she has 12 attires now, how many attires did Clara initially?
Answer:
16
Step-by-step explanation:
Number of attires Clara has initially = x
lends half her collection of formal attires to her sister
Attires remaining after lending = Number of attires Clara has initially - attires she lent her sister
= x - 1/2x
= 1/2x
Clara then buys four more attires
= 1/2x + 4
If she has 12 attires now
12 = 1/2x + 4
12 - 4 = 1/2x
8 = 1/2x
x = 8 ÷ 1/2
= 8 × 2/1
= 16
x = 16
Number of attires Clara has initially = x = 16
A(-4,-2), B(-1,-1), C(-1,-4)
what are the coordinate of triangle ABC when reflected over the line y=-x?
A). A'(-2,4), B'(1,1), C(-4,1)
B). A'(2,4), B'(1,1), C(4,1)
C). A'(4,2), B'(1,2), C'(2,1)
D). A'(2,4), B'(1,-1),C' (4,-1)
Answer:
B
Step-by-step explanation:
Fip numbers and change both signs when reflecting over y=-x
Answer:
C
Step-by-step explanation:
Find the measure of the indicated angle
Answer:
76°
Step-by-step explanation:
180-(2*52)
= 180-104
= 76
Answered by GAUTHMATH
Please help me with this, no clue.
Helppppp
A. 8/15
B. 8/17
C. 15/8
D. 15/17
Answer:
D
Step-by-step explanation:
sin theta is equal to perpendicular by hypotenuse
here perpendicular is equal to 15 and base is equal to 8 therefore hypotenuse will be equal to 17
on putting on putting the value of perpendicular by hypotenuse we get 15 by 17 as sin theta
Answer:
Step-by-step explanation:
hypotenuse = √(15²+8²) = √289 = 17
sinθ = (leg opposite θ)/hypotenuse = 15/17
Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?
Answer:
y = (4x - 71)/8
Step-by-step explanation:
2(x - 2)2 = 8(7 + y) solve for y instead of x for the inverse equation
4x - 8 = 63 + 8y
4x - 8 - 63 = 8y
4x - 71 = 8y
y = (4x - 71)/8
Answer:
A
Step-by-step explanation:
Calculate the sum of the integers from 52 to 108
Answer:3136
Step-by-s
tep explanation:
Answer:
4506
Step-by-step explanation:
you have do like this 56+57+58+59+60+.....+108 look you will 4506 as answer
Find the measure of angle A.
54.99
35.1°
50.7°
39.3°
Hi there!
[tex]\large\boxed{35.1^o}}[/tex]
We can once again use right triangle trig:
We are given the hypotenuse and adjacent sides, so cosine must be used:
cosA = A / H
thus:
cosA = 9/11
Use inverse trig to solve:
cos⁻¹(9/11) ≈ 35.1°
given that Tn = -4n^2+56n-180 , determine the biggest numerical value of Tn
The solution and answer are well written in the Pic above.
Which of the following is not a congruence theorem or postulate?
A.) AAS
B.) SSS
C.) AA
D.) SAS
Answer:
C.) AA
Step-by-step explanation:
AA is a similarity theorem
hope this helps stay safe :)
Answer:
The answer would be C.
Step-by-step explanation: Hope this helps :)
En la granja hay que vacunar a 525 terneros si llevaron vacunados 102 ¿ cuantos faltan por vacunar ?
Respuesta:
423
Explicación paso a paso:
En la finca hay que vacunar 525 terneros, si se vacunaron 102, ¿cuántos quedan por vacunar?
Dado :
Número de terneros que deben ser vacunados = 525
Número de terneros que han sido vacunados = 102
Número de terneros que quedan por vacunar = (Número de terneros que deben ser vacunados - Número de terneros que han sido vacunados)
Número de terneros que quedan por vacunar = (525 - 102) = 423
Find the measure of the indicated angle
Answer:
x = 52
Step-by-step explanation:
The triangle is isosceles. The markings tell us that.
The 76 is not opposite either one of the equal sides. Let the angle values opposite the equal sides be x
x + x + 76 = 180 All triangles = 180
2x + 76 = 180 Subtract 76 from both sides.
2x = 180 - 76
2x = 104 Divide both sides by 2
x = 104/2
x = 52
So x = 52
What is the result of subtracting the second equation from the first?
-2x+y = 0
-7x+3y = 2
Answer:
-5x + 2y=2
Step-by-step explanation:
[tex]- 7x + 3y = 2 \\ - 2x + y = 0 \\ subtracting \: this.we \: have \\ ( - 7x \: + 3y - 2) - ( - 2x + y) \\ - 7x + 2x + 3y - y - 2 \\ - 5x + 2y - 2 \\ therefore \: we \: have \\ - 5x + 2y = 2[/tex]
jerry has been staying up late at night to get in some extra study time. He hopes to get accepted into his favorite college and needs to pass the entrance exam. The test is a stressor and which of the following is symptom of how he is reacting to stress?
normal heart rate
upset stomach
extra sleep
increased energy
Jerry has been stressing a lot for getting into his favorite college. The symptom by which he is reacting to stress is 'upset stomach'.
How do people react to stress?Stress can lead to a lot of emotional and physical negative responses in the body. This includes difficulty breathing, panic attacks, blurred eyesight or sore eyes, sleep problems, fatigue, muscle aches and headaches, chest pains and high blood pressure, Indigestion or heartburn, constipation, feeling sick, dizzy or fainting.
When Jerry stayed up late at night to get in some extra study time, had a mental burden of passing an entrance exam, a lot of stress was built. He reacted to it with an upset stomach just like others.
Learn more about reacting to stress here
https://brainly.com/question/14973731
#SPJ2
what are the lengths of SV and QT? no links.
ok so we see that TR is 17 units, so RV is the same amount
3x+2 so 3x=15 so divide both sides by 3 we get x=5
now we know x=5 4x+1=21 and 9x-4=41
*drops microphone*
Answer:
TR = 12
=> 3x + 2 =17
=> x = 5
We have QT = QV (because QTV is an isosceles triangle)
=> QT = 4x+1=4x5+1=21 units
We have TS = SV (because TSV is an isosceles triangle)
=>SV = 9x-4= 9x5-4=41 units
The sum of two numbers is 3000. If 8% of one number is equal to 12% of the other, find the numbers.
one is 1800 and another is 1200
Step-by-step explanation:
let no's be A and B
so, A+B =3000
given, 8% = 8/100 = 2/25
12%= 12/100 = 3/25
As per question 8% of A is = 12% of B
so, (2/25)*A = (3/25)*B
now, multiply cross wise
then we get, (A/B) = 3:2
thus two numbers are in the ratio of 3:2
so, let A =3x, B=2x
cause sum of these is 3000 so, A+B =3000
3x+2x =3000
5x = 3000
x= 3000/5
.: x = 600
so, first no is 3x =3*600=1800
2nd no is 2x= 2*600= 1200
Hope this helps you
