Answer:
6000 seconds.
Step-by-step explanation:
Given:
A car covers a distance of 14.75km in 20 minutes.
find:
In how many seconds, will it cover a distance of 73.75km
solution:
the idea is ratio and proportion to get the time based on 73.75 km from 14.75km./20min. in seconds.
14.75 km. = 73.75 km --------> cross multiply
20 min. t
14.75 (t) = 73.75 (20)
14.75 (t) = 1475
t = 1475
14.75
t = 100 min. -----------> convert min to seconds.
100 min. x 60 secs. = 6000 seconds
1 min.
therefore,
the time in seconds to travel a distance of 73.75 km is 6000 seconds.
Kesha drives 26 miles in 48 minutes. Keeping the same rate, how many miles does she drive in 12 minutes
i have a zero in the ones place. i am greater than 20 but less the 39 what am i
Answer:
30
Step-by-step explanation:
The function f is defined by the following rule.
f(x) = 3x - 3
Complete the function table,
X
- 4
2
5
5t+1= 9
Please help me
Exact Form: t = 8/5
Decimal Form: t = 1.6
Mixed Number Form: t = 1 3/5 (one and three fifths)
Answer:
t = 8/5 or t = 1.6
This will be a fraction buh can be turned into a decimal
Step-by-step explanation:
subtract 1 on both sides 5t + 1 - 1 = 9 - 1
then simplify 5t = 8 after det divide both side 5t/5 = 8/5 and den your answer is t = 8/5...
HOPE DIS HELPS YU OR IS RIGHT!!!!!
X divided by 11 equals 10 divided by 12 what’s x
Answer:
x/11 = 10/12
x = 10*11/12= 55/6
Step-by-step explanation:
[tex] \huge \pink {\tt { \frac{x}{11} = \frac{10}{12}}} [/tex]
By cross multiplication, we get
12x = 110
or, x = 110/12 = 55/6
Answer: x = 55/6¿Cuál es el valor de 0.1561 redondeado a la décima más cercana?
A 0.15
B 0.16
C 0.1
D 0.2
Answer:
A0.15
Step-by-step explanation:
The ratio of dogs to cats is 3:8 there are a total of 99 dogs and cats in the shelter. How many are cats.
Answer:
72 cats
Step-by-step explanation:
sum the parts of the ratio, 3 + 8 = 11 parts
Divide the total by 11 to find the value of one part of the ratio.
99 ÷ 11 = 9 ← value of 1 part of the ratio, then
8 parts = 8 × 9 = 72 ← number of cats
state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
Answer:
domain (-∞, ∞)range (-∞, 4]increasing (-∞, 0)decreasing (0, ∞)constant (only at x=0, not on any interval)Step-by-step explanation:
The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).
The vertical extent of the graph includes y=4 and all numbers less than that:
range: (-∞, 4]
The graph is increasing to the left of its vertex at x=0, decreasing to the right.
increasing (-∞, 0); decreasing (0, ∞)
There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.
Which of the following options represents the graph of the function show above? f(x) = (x+3) ^3- 1
f(x) = (x-3) ^311
f(x) = (x-3)^3+ 1
f(x) = ( x + 3)^3+1
Answer:
C
Step-by-step explanation:
First, notice that this is a cubic function.
The standard form for a cubic function is:
[tex]f(x)=a(x-b)^3+c[/tex]
Where a is the vertical stretch, b is the horizontal shift, and c is the vertical shift.
From our graph, we can see that unlike the parent function, x³, this cubic is 3 units to the right and 1 unit up from the standard position.
Therefore, our b is +3 and c is +1. Let's substitute these values. Also, let's assume a is 1. So:
[tex]f(x)=(x-3)^3+1[/tex]
Therefore, our answer is C.
And we're done!
A very large book has pages numbered from 1 to 11521. How many times is the digit 3 printed? Helppp
Answer:
The total number of pages from page X to page Y is Y minus X plus 1.
So from 1 to 9, there are 9 minus 1 is 8 plus 1 is 9.
Step-by-step explanation:
NEED HELP ASAP!!!
TEN POINTS!
I need help ASAP PLEASE!
Determine whether this statement is true or false. If the statement is false, give a counterexample.
Statement: All integers are rational numbers.
Whenringingupacustomer,acashierneeds15secondstoprocesspaymentaswellas3secondstoscaneachitembeingpurchased.Ifittakes21secondstoringupacustomer,howmanyitemsarebeingpurchased?
Answer:
um, can you make that a bit clearer thanks! (:
Step-by-step explanation:
A pound is approximately 0.45 kilogram. A person weighs 87 kilograms. What is the person's weight, in pounds, when rounded to the nearest
whole number?
ОА
39 lb
OB. 52 lb
OC 193 lb
OD. 180 lb
Answer:
OC 193 lb is correcte!
The person's weight, in pounds, when rounded to the nearest
the whole number is equal to [tex]1.9\times10^{2} pound[/tex]
We have given that, A pound is approximately 0.45 kilogram.
0.45 kg = 1 pound
Thus if 0.45 kg is equal to= 1 pound
87 kg will be equal to [tex]=\frac{1}{0.45} \times 87=1.9 \times 10^2 pound[/tex]
What are the significant digits?The number of significant digits in an answer should be equal to the least number of significant digits in any one of the numbers being multiplied, divided, etc.
Thus the answer should contain 2 significant digits.
To learn more significant digits visit:
https://brainly.com/question/24491627
#SPJ2
Dominic placed the following pieces of lumber in order from shortest to longest 23 over three 7 and 7/8 7.9 to 68 square root
Answer:
23/3
7 7/8
7.9
Step-by-step explanation:
9) What two operations are needed to solve 2x - 4 = 16?
a. Addition & division
b. Addition & subtraction
c.Multiplication & subtraction
Answer:
a. Addition & division
Step-by-step explanation:
2x - 4 = 16 (adding 4 to both sides)
2x = 16 + 4
2x = 20 (dividing both sides by 2)
x = 20/2 = 10
Hence we can see that the two operations are addition and then division
True or false: To determine the absolute value of a number, you can count how many units it is from zero.
Answer:
True the absolute value is how many digits away the number is from zero.
Step-by-step explanation:
How do you solve 2 1/3 + 5y = 4
Answer:
Not sure but that's my answer
If mZA = (8x + 6)° and m
ZB = (7x + 24)', then find the measure of ZB
Please help me to prove this!
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A = π - (B + C)
→ B + C = π - A
Use the Pythagorean Identity: cos² A + sin² A = 1 → sin² A = 1 - cos² A
Use Double Angle Identities: cos 2A = 2 cos² A - 1 → cos² A = (cos 2A + 1)/2
→ cos A = 1 - 2 sin² (A/2)
Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · cos [(A - B)/2]
Use Cofunction Identities: cos (π/2 - A) = sin (A)
sin (π/2 - A) = cos A
cos (-A) = cos (A)
Proof LHS → RHS:
[tex]\text{LHS:}\qquad \qquad \sin^2\bigg(\dfrac{B}{2}\bigg)+\sin^2 \bigg(\dfrac{C}{2}\bigg)-\sin^2\bigg(\dfrac{A}{2}\bigg)[/tex]
[tex]\text{Pythagorean:}\qquad 1-\cos^2 \bigg(\dfrac{B}{2}\bigg)+1-\cos^2 \bigg(\dfrac{C}{2}\bigg)-\bigg[1-\cos^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1-\cos^2 \bigg(\dfrac{B}{2}\bigg)-\cos^2 \bigg(\dfrac{C}{2}\bigg)+\cos^2 \bigg(\dfrac{A}{2}\bigg)[/tex]
[tex]\text{Double Angle:}\quad 1-\bigg(\dfrac{\cos(2\cdot \frac{B}{2})+1}{2}\bigg)-\bigg(\dfrac{\cos (2\cdot \frac{C}{2})+1}{2}\bigg)+\bigg(\dfrac{\cos (2\cdot \frac{A}{2})+1}{2}\bigg)\\\\\\.\qquad \qquad \qquad =1-\dfrac{\cos B}{2}-\dfrac{1}{2}-\dfrac{\cos C}{2}-\dfrac{1}{2}+\dfrac{\cos A}{2}+\dfrac{1}{2}\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}[1-(\cos B+\cos C)+\cos A][/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\cos \bigg(\dfrac{B+C}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]
[tex]\text{Given:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\cos \bigg(\dfrac{\pi -A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]
[tex]\text{Cofunction:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]
[tex]\text{Double Angle:}\qquad \dfrac{1}{2}\bigg[1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)+1-2\sin^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}\bigg[2-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)-2\sin^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1-\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin^2 \bigg(\dfrac{A}{2}\bigg)[/tex]
[tex]\text{Factor:}\qquad \qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin \bigg(\dfrac{A}{2}\bigg)\bigg][/tex]
[tex]\text{Given:}\qquad \qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin \bigg(\dfrac{\pi -(B+C)}{2}\bigg)\bigg][/tex]
[tex]\text{Cofunction:}\qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)+\cos \bigg(\dfrac{B+C}{2}\bigg)\bigg][/tex]
[tex]\text{Sum to Product:}\ 1-\sin \bigg(\dfrac{A}{2}\bigg)\cdot 2 \cos \bigg(\dfrac{(B-C)+(B-C)}{2\cdot 2}\bigg)\cdot \cos \bigg(\dfrac{(B-C)-(B+C)}{2\cdot 2}\bigg)\\\\\\.\qquad \qquad \qquad =1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(-\dfrac{C}{2}\bigg)[/tex][tex]\text{Cofunction:}\qquad =1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)[/tex]
[tex]\text{LHS = RHS:}\quad \checkmark\\\\\quad 1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)=1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)\quad[/tex]
Christian's car used 15 gallons to travel 270 miles. How far can he travel on 11 gallons?
Answer:
198
Step-by-step explanation:
270/15 gives us 18, his miles per gallon. multiply that by 11, and you get 198.
5. If x^1/2 =8, what is the value of x?
A dolphin is at the surface of rhe water and then descends to a depth of 4 1/2 feet then the dolphin swims down another 2 3/4 feet what is the location of the dolphin relative to the surface of the water
Answer:
down 7 1/4 feet
Step-by-step explanation:
4 1/2 + 2 3/4 = 4 2/4 + 2 3/4 = (4+2) +(2/4 +3/4) = 6 +5/4 = 7 1/4
The dolphin is 7 1/4 feet below the surface.
Answer:
Step-by-step explanation:
DOES ANYONE KNOW THIS?????
Answer:
if i;m right its 45 degrees
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
alternative angle theorem lets you know that angle acb is equal to cae and you can find acb since you know all angles add up to 180. 180-105-47=28
What is the unit rate (words per 1 minute) for
this scenario?
Lucy can type 300 words in 5 minutes. How many words can Lucy type in 27 minutes.
Hi May I know how to solve this question
3/5(1 + p) = 21/20
find the solution to p
Answer:
3/4
Step-by-step explanation:
3/5(1+p)-21/20
3/5+3/5p=21/20
3/5p=21/20-3/5
3/5p=21/20-12/20
3/5p=9/20
p=9/20÷3/5
p=9/20*5/3
p=45/60
p=3/4
if segment ac has a midpoint of b, and ab=32 and bc=5x+7, what is the length of segemnt bc
Answer:
BC = 32Step-by-step explanation:
B being midpoint of AC means:
BC = AB = 32
1- Find the slope of the line: y = -4/3 X-1*
m= -1 m= -4 m= -4/3 m= 4 v
Slope-intercept form: y = mx + b
m = the slope
y = the y-intercept
In our problem,
y = -4/3x - 1
m = -4/3
The slope is -4/3
Once you are finished with your practice problems respond to the discussion prompt:
Classify each of the following rational numbers as repeating or terminating decimals.
3/5
1/9
7/10
5/12
Answer:
terminating
repeating
terminating
repeating
Step-by-step explanation:
3/5 = 0.6 ; terminating
1/9 = 0.1111... ; repeating
7/10 = 0.7 ; terminating
5/12 = 0.41666666... ; repeating