Answer:
C
Step-by-step explanation:
Cause C met the rules of scientific notation which is:
(First digit of the number) followed by (the decimal point) and then (all the rest of digits of the number) times (10 to an appropriate power)Key West, Florida to Seattle, Washington is 3,518 miles. If it
takes 51 hours to drive there, what is the average speed?
Answer:
69 miles/hour
Step-by-step explanation:
Average speed = Total distance travelled / Total time taken
Distance travelled = 3,518 miles
Time taken = 51 hours
Average speed = Total distance travelled / Total time taken
= 3,518 miles / 51 hours
= 68.980392156862
Approximately,
Average speed = 69 miles/hour
Answer: 69 miles/hour
Step-by-step explanation:
solve |x + 5| = -7 ....
Answer:
2,-12
Step-by-step explanation:
The given equation is ,
[tex]\implies |x + 5 | = -7 [/tex]
We know that modulus only gives positive value , Therefore on squaring both sides we have ,
[tex]\implies (x + 5 )^2=( -7)^2 \\\\\implies (x+5)^2=7^2\\\\\implies x + 5 =\pm 7 \\\\\implies x = 7-5,-7-5 \\\\\implies \boxed{ x = 2, -12} [/tex]
Which action taken by a central bank would reflect expansionary monetary policy?
A. Lowering the discount rate to provide more loans to banks
B. Raising the interest that it pays to banks on the balance of their reserves
C. Raising reserve requirements for all banks
D. Selling treasury securities to banks to reduce the money supply
Answer:
b
Step-by-step explanation:
well when raising the intrest on other banks it will cause a effect the money supply. the expansionaty monetary policy revolves around intrest rates. B is the only answer that best explains what im trying to say
The action of lowering the reserve requirements for all banks and sales of treasury securities to banks to help reduce money supply reflect the expansionary monetary policy.
What is expansionary monetary policy?An expansionary monetary policy is an economy policy used to stimulate a declining economy and gross domestic policy.
The 3 expansionary monetary policy includes
lowering of interest rates
lowering of banks reserve requirements
buying of government securities.
Therefore, the action of lowering the reserve requirements for all banks and sales of treasury securities to banks to reduce the money supply reflect the expansionary monetary policy.
Hence, the Option C and D is correct
Read more about expansionary monetary policy;
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What is the slope of the line? What is the y-intercept of the line? y = -x - 6
Answer:
m = -1
y intercept = -6
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = -x -6[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y intercept .On comparing to the Standard form of the line we get ,
[tex]\implies Slope = -1 [/tex]
[tex]\implies y - intercept= -6 [/tex]
Slope: -1
Solution:This equation is written in slope-intercept form (y=mx+b).In this formula, "m" stands for the line's slope and "b" stands for the y-intercept of the line.Also, please notice that the slope of the line is the coefficient of x (the number next to x)If we don't have a number next to x, then the coefficient is equal to 1.If we have a minus sign next to x, then the coefficient is equal to -1.Therefore, the slope of the line is -1.Now, the y-intercept is a constant that's subtracted from/added to the slope.Therefore, the y-intercept of the line is -6.Hope it helps.
Do comment if you have any query.
PLEASE HELP ME ILL MARK YOU BRAINLIEST !!!!!!!!!!
Step-by-step explanation:
(1/2) / (1/3) = (1/2)(3/1) = 3/2 miles per hour = 1.5 miles per hour
Answer:
Step-by-step explanation:
to find the unit rate, which is what we are looking for, we have to divide the number of miles by the number of hours. Specifically:
[tex]\frac{\frac{1}{2} }{\frac{1}{3} }[/tex] and to work this out, we bring up the bottom fraction and flip it to multiply, giving us:
[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{1}[/tex] which is [tex]\frac{3}{2}[/tex] miles per hour (which is the same thing as walking a mile and a half every hour). The choice you're looking for is the one that reflects 3/2 miles per hour. (I can't see which choice it is; they're too small!)
Pam laid three times as many tiles on Saturday as she laid on Sunday. If Pam laid 80 tiles over the weekend altogether, how many tiles did she lay on Saturday?
Answer:
Pam laid 60 tiles on Saturday and 20 on Sunday.
Step-by-step explanation:
Given that Pam laid three times as many tiles on Saturday as she laid on Sunday, if Pam laid 80 tiles over the weekend altogether, to determine how many tiles did she lay on Saturday the following calculation must be performed:
3X + X = 80
4X = 80
X = 80/4
X = 20
Therefore, Pam laid 60 tiles on Saturday and 20 on Sunday.
Which is a simplified form of the expression -6a + 2(2a + 2)?
A.-2a + 4
B. -2a - 4
C. 2a + 4
D. 2a - 4
Answer:
-2a +4
Step-by-step explanation:
-6a + 2(2a + 2)
Distribute
-6a +4a +4
Combine like terms
-2a +4
Answer:
Answer A is correct
Step-by-step explanation:
First Solve the brackets
[tex] - 6a + 2(2a + 2) \\ - 6 a+ 4a + 4[/tex]
Then combine like terms
[tex] - 6 a+ 4a + 4 \\ - 2 a + 4[/tex]
Which of the following is an even function?
Answer:
thats right
Step-by-step explanation:
odd functions are ones you flip 180 degrees and get same thing but basically everything else (unless of course it has no symmetry such as sqrt x) should be even (even can also be thought of as bilateral symmetry)
Can some help with this problem
Answer:
20 degrees.
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees. One of them, bottom right, is already shown as 70 degrees. You can find the bottom left angle by subtracting 110, the supplementary angle, from 180 (the number of degrees in a straight line). The top angle, 2x, is equal to 40 degrees. (180-70-70 = 40). 40/2 = x, so x = 20 degrees.
Which is expression is equivalent to (x^-4y/x^-9y^5)^-2
Answer:
[tex]\frac{y^8}{x^{10}}[/tex]
Step-by-step explanation:
Given
[tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex]
Required
The equivalent
Apply law of indices to the inner bracket
[tex](x^{-4--9}y^{1 -5})^{-2}[/tex]
[tex](x^{5}y^{-4})^{-2}[/tex]
Rewrite as:
[tex]\frac{1}{(x^{5}y^{-4})^2}[/tex]
Expand
[tex]\frac{1}{(x^{5*2}y^{-4*2})}[/tex]
[tex]\frac{1}{(x^{10}y^{-8})}[/tex]
Apply law of indices
[tex]\frac{y^8}{x^{10}}[/tex]
Which points are coplanar and non ol linear
Answer:
COPLANAR:Point A, C and D
NON- COLLINEAR:Point B
Step-by-step explanation:
[tex]{hope it helps[/tex]
[tex] {2}^{x} - 3( {2}(^{x} + \frac{1}{2} )) + {2}^{2} = 0[/tex]
Can someone solve this equation?
Answer: [tex]\huge\boxed{x=log_2\frac{12\sqrt{2}+4}{17}}[/tex]
Step-by-step explanation: [tex]\displaystyle\ \bigg{2^x-3(2^{x+\frac{1}{2} }})+2^2=0 \qquad ; \ \ \boxed{t=2^x} \\\\t-3t\sqrt{2} +4=0 \\\\ t(1-3\sqrt{2} )=-4 \\\\ t=\frac{4}{3\sqrt{2} -1} \cdot \frac{3\sqrt{2}+1 }{3\sqrt{2}+1 } =\frac{12\sqrt{2}+4}{17} \\\\\\2^x=\frac{12\sqrt{2}+4}{17} \\\\x=log_2 \ \ \frac{12\sqrt{2}+4}{17}[/tex]
you have $9 and earn $0.50 for each cup of orange juice you sell. Write an equation that represents the total amount A (in dollars) you have after selling j cups of orange juice
Answer:
Hello there ,
The answer to this equation would be:
A=.50j+9
Step-by-step explanation:
this answer should be correct because he started with 9,
and he is selling each cup (j) for 0.50
Let me show you an example:
Ok lets say he sold 10 (j) cups:
you would replace the (j) with the 10
A=0.50(10)+6
A=5+6
A=11 and he would have $11
but that just an example so the real answer to your question is:
A=.50j+9
Hope this help. If correct please give brainliest.
Thank you,
Have a good day !!!!!
Arc AC is adjacent to arc CD. If arc AC measures 35 degrees and arc CD measures 45 degrees, what is the measure of arc AD according to the Arc Addition Postulate?
Answer:
80°Step-by-step explanation:
You just need to sum up the values according to arc addition postulate:
the measure of the arc formed by two adjacent arcs is the sum of the measures of the two arcsm(arc AD) = m(arc AC) + m(arc CD)m(arc AD) = 35° + 45° = 80°Now we have to find,
The measure of arc AD according to the Arc Addition Postulate.
AD is the sum of the measures of the other two arcs. Then measure of AD is,
→ AC + CD
→ 35° + 45°
→ 80° (final answer)
Hence, the measure of arc AD is 80°.
verify that a÷(b+c)#(a÷b)+(a÷c) for each of the following values of a=6,b=5 and c=7
Answer:
[tex]a \div (b + c) = (a \div b) + (a \div c) \\ 6 \div (5 + 7) = (6 \div 5) + (6 \div 7) \\ 0.5 = 1.2 + 0.86 \\ 0.5 = 2.06[/tex]
The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours. How many total miles did the Ramos family drive? Miles
Answer:
ok so first they drove 55 for 3 hours so
55*3=165
and then they drove 45 for 2 hours
45*2=90
165+90=255
so in total they drove 255 miles
Hope This Helps!!!
The solution is : 255 miles total miles did the Ramos family drive.
What is speed?Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
here, we have,
given that,
The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours.
we get,
Journey before lunch:
Speed = 55 mph
Time = 3 hrs
distance = 55*3 = 165 miles.
Journey after lunch:
Speed = 45 mph
Time = 2 hrs
distance = 45 * 2 = 90 miles
Total miles driven
= distance traveled before lunch + distance traveled after lunch
= 165 miles + 90 miles
= 255 miles
Therefore, the Ramos family drove 255 miles in total.
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Please help! Find the length of side CD.
Answer:
The answer should be 6.63
Bd and bc form a right triangle with cd
Use the Pythagorean theorem
Cd = sqrt( 12^2 - 10^2)
Cd = sqrt( 144-100)
Cd = sqrt(44) = 2sqrt(11)
f(x)=3x^2 and g(x)=x+2 find (f.g)(x)
Answer:
3[tex]x^{3}[/tex] + 6[tex]x^{2}[/tex]
Step-by-step explanation:
(f · g )(x) = 3[tex]x^{2}[/tex] · (x + 2) = 3[tex]x^{3}[/tex] + 6[tex]x^{2}[/tex] (Multiply the two terms by distributing)
Monica purchased adult and youth tickets for the fair. She bought x adult tickets for $28 each and y youth tickets for $15. Write an expression that can be
used to show the total cost, C, of all tickets.
O C = (28 + 15)x
OC = (28 + 15)(x + y)
O C = 28x + 15y
O C = 28y + 15x
Answer: =28x + 15y
Step-by-step explanation:
Anita and beth have the same number of trading cards. Anita gives 18 of her cards to beth. As a result, beth has twice as many card as anita does. How many cards did anita have before she gave some away.
Answer:
18
Step-by-step explanation:
if Anita and Beth had the same amount of trading cards this means they each had 18 cards so when Anita gave Beth her cards the number of cards Beth had have been diul ed meaning Beth now has 36 cards while Anita has non
One hundred rats are being trained to run through a maze and are rewarded when they run through it correctly. Once a rat successfully runs the maze, it continues to run the maze correctly in all subsequent trials. The number of rats that run the maze incorrectly after t attempts is given approximately by Find the number of trials required such that only % of the rats are running the maze incorrectly. Round to the nearest trial.
Answer:
6 trials
Step-by-step explanation:
The number of rats that run the maze incorrectly after t trials ;
N(t) = 100e^-0.14t
Initial number of rats = 100
45% of rats to run the maze incorrectly ; 45% * 100 = 45 rats
N(t) = 45
N(t) = 100e^-0.14t
45 = 100e^-0.14t
45/100 = e^-0.14t
0.45 = e^-0.14t
Take the In of both sides :
In(0.45) = In(e^-0.14t)
- 0.798507 = - 0.14t
Divide both sides by -0.14
- 0.798507 / - 0.14 = - 0.14t / - 0.14
5.7036 = t
To the nearest whole number :
Number of trials, t = 6 trials
Ming drew the model below to represent the equation 24+12=_x(8+4) What is the missing value in Ming's equation?
Given:
The equation is:
[tex]24+12=\_\_\times (8+4)[/tex]
To find:
The missing value.
Solution:
We have,
[tex]24+12=\_\_\times (8+4)[/tex] ...(i)
Taking left hand side, we get
[tex]24+12=3\times 8+3\times 4[/tex]
Taking 3 common, we get
[tex]24+12=3\times (8+4)[/tex] ...(ii)
On comparing (i) and (ii), we get
Missing value = 3
Therefore, the missing value in the given equation is 3.
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]
B 2 -3 -2 -1 Use the Pythagorean theorem to find the distance between points A and B on each graph. round answers to the nearest tenth.
hypotenuse= 9²
so the distance between the 2 points is 81
4²+5²=c²
factor out the square which gives (4+5)²=c²
which makes c=9
answer=81
pls pls pls answer and pls dont use this post just for extra points i actually rly need help
:( please don't
Answer:
1/2
Step-by-step explanation:
Probability is equal to the amount of desirable outcomes divided by the total amount of outcomes. Each coin has two sides, and there are three of them. This accounts for a total of 2^3 or 8 outcomes. Now, we need to find the amount of outcomes where two or more coins land on heads. We can start by listing those possibilities: THH, HTH, HHT, and HHH. Notice that the first three are just three ways of rearranging the same result. We can see that there are four desirable outcomes. This means the probability is 1/2.
A basketball-player scores a free-throw with probability 0.9. What is the probability that her first miss occurs on the 6th shot
Answer:
[tex]Pr = 0.059049[/tex]
Step-by-step explanation:
Given
[tex]p = 0.9[/tex] --- probability of scoring
Required
Probability that his first miss is his 6th shot
Let q represent the event that he did not score.
Using complement rule:
[tex]q = 1 - p = 1 - 0.9 = 0.1[/tex]
The event that his first miss is his 6th is represented as:
p p p p p q ---- That he scoress the first 5 attempts
So, the probability is:
[tex]Pr = p^5 * q[/tex]
[tex]Pr = 0.9^5 * 0.1[/tex]
[tex]Pr = 0.059049[/tex]
What is the answer for this equation
Answer:
the answer is -5,-7,-10,-14,-19
solve for y
[tex]2y - 3 = \sqrt{ {3y}^{2} - 10y + 12} [/tex]
absurd answers will be reported!!
Answer:
y = 3
Step-by-step explanation:
2y - 3 = [tex]\sqrt{3y^2-10y+12}[/tex]
square both sides to remove sqrt bracket
(2y - 3)^2 = ( [tex]\sqrt{3y^2-10y+12}[/tex] )^2
simplify both sides
(2y - 3)(2y - 3) = [tex]3y^2[/tex] - 10y + 12
[tex]4y^2[/tex] - 12y + 9 = [tex]3y^2[/tex] - 10y + 12
bring all value to left side
[tex]y^2[/tex] - 2y - 3 = 0
factor
(y - 3)(y + 1)
solve for y
y = 3, y = -1
When plugged back into the equation, only y = 3 is true
Answer:
y = 3
Step-by-step explanation :
[tex]2y - 3 = \sqrt{ 3y² - 10y + 12} [/tex]
Swap the sides both of the equation.
[tex]\sqrt{ 3y² - 10y + 12} = 2y - 3 [/tex]
To remove the brackets of equations square both side and simplify .
3y² - 10y + 12 = 4y² - 12y + 9
Move the expression to left-hand side and change its sign.
3y² - 10y + 12 - 4y² + 12y - 9 = 0
collect like terms
3y² - 4y² - 10y + 12y + 12 - 9 = 0
-y² + 2y + 3 = 0
Change the sign of expression. because it helps to solve.
y² - 2y - 3 = 0
Splits the term -2y
y² + y -3y - 3 = 0
Factor out y from the first pair and -3 from second pair of expression.
y ( y + 1 ) - 3 ( y + 1) = 0
Factor out y + 1 from the expression.
( y + 1 ) ( y - 3 ). = 0
When product and factors equals 0. at least one factor is 0.
y + 1 =0
y - 3 = 0
Solve for y
y = -1 and y = 3
If we plug the 3 as y in the expression we find that y = 3 is the true solution of this expression.
This equation has one solution which is y = 3.
x^4+64 will be the perfect square by adding
Answer:
[tex]( { {x}^{2} })^{2} + 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} + 8) ^{2} \\ ( { {x}^{2} })^{2} - 16 {x}^{2} + {8}^{2} \\ ( {x}^{2} - 8) ^{2} [/tex]
+16x² or -16x² is the answerHow do I complete the table?
Answer:
From left to right, fill in 3.5 and 6.5
Step-by-step explanation:
Use the given formula to calculate y for the given values of x.
When x = 0.5, y = 3(0.5) + 1/0.5
y = 1.5 + 2
y = 3.5 if x = 0.5
When x = 2, y = 3(2) + 1/2
y = 6 + 0.5
y = 6.5 if x = 2