Answer:
55
Step-by-step explanation:
Add from left to right
1+2+3+4+5+6+7+8+9+10
3 +3+4+5+6+7+8+9+10
6+4+5+6+7+8+9+10
10+5+6+7+8+9+10
15+6+7+8+9+10
21+7+8+9+10
28+8+9+10
36+9+10
45+10
55
evaluate the exponent
(-12) EE2
Answer:
Hence final answer is 144.
Step-by-step explanation:
Expression is not typed in proper format but as per given instruction "evaluate the exponent", I think it is:
[tex]\left(-12\right)^2[/tex]
So let's simplify that:
[tex]\left(-12\right)^2[/tex]
[tex]=\left(-12\right)\left(-12\right)[/tex]
[tex]=+144[/tex] {Since product of two negative numbers is always positive.
[tex]=144[/tex]
Hence final answer is 144.
Which function has the greatest rate of change? A. x y 3 3 4 6 5 9 B. y = 4 + 6x C. 12x + 6y = 18 D. A linear function that goes through point 1, negative 1 and point 0, 4
Answer:
B. y = 4 + 6x
Step-by-step explanation:
We know that the rate of change of a straight line is equal to the slope of the line.
Now, the general form of a straight line is y = mx + b, where m is the slope and b is the y-intercept.
Also, the slope of a line joined by [tex]( x_{1},y_{1} )[/tex] and [tex]( x_{2},y_{2} )[/tex] is given by [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].
So, using these, we will find the slopes of the lines given in the options.
A. Here, we are given two points (3,3) and (4,6). Then, the slope is given by,
[tex]m_{1}=\frac{6-3}{4-3}[/tex] i.e. [tex]m_{1}=3[/tex].
B. We have the equation of line y = 4 + 6x. On comparing it with the general form, we get that the slope is 6 i.e. [tex]m_{2}=6[/tex].
C. We are given the standard form of a line. First, we convert it into the slope-intercept form ( or the general form ).
i.e. 12x + 6y = 18 → 2x + y = 3 → y = -2x + 3
Now, on comparing this equation with the general form of a line, we get that the slope is -2. i.e. [tex]m_{3}=-2[/tex].
D. Here, we are given a linear function passing through (1,-1) and (0,4). Then the slope is given by,
[tex]m_{1}=\frac{4+1}{0-1}[/tex] i.e. [tex]m_{4}=-5[/tex].
Hence, we obtain that the function y=4+6x has the greatest slope or the greatest rate of change i.e. [tex]m_{2}=6[/tex].
Three hens can lay 3 eggs in 3 days.
How many hens would lay 3 eggs in 9 days?
Approximately how many times greater is 6 x 10^-5 than 5 x 10^-9
To find out how many times greater 6 x 10^-5 is than 5 x 10^-9, you divide the first number by the second number. The result, in standard form, is 12,000,000 or 1.2 x 10^7. Thus, 6 x 10^-5 is 12,000,000 times greater than 5 x 10^-9.
Explanation:The question is asking us to determine how many times greater 6 x 10^-5 is than 5 x 10^-9. To do this, we need to divide the first number (6 x 10^-5) by the second number (5 x 10^-9).
First, let's express these numbers in standard form. 6 x 10^-5 equals 0.00006 and 5 x 10^-9 equals 0.000000005.
Simply divide 0.00006 by 0.000000005. The result is 12,000,000 or 1.2 x 10^7.
Therefore, 6 x 10^-5 is 12,000,000 times greater than 5 x 10^-9 or 1.2 x 10^7 times greater.
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Donata bought 4 lemons and 4 plums at the local supermarket for a total of $ 21.60. Dan bought 11 lemons and 6 plums at the same store for a total of $40.90 how much does one lemon cost. .... helppppp. How Much does 1 plum cost?
Answer:
Each lemon costs $1.70. Each plum costs $3.70.
Step-by-step explanation:
You have two unknowns and two statements about costs. First, define a variable for each unknown. Then, translate the statements about the costs into two equations. Then, solve the system of equations.
Let L = price of 1 lemon
Let P = price of 1 plum
Donata:
4 lemons and 4 plums for $21.60
4L + 4P = 21.6 Equation 1
Dan:
11 lemons and 6 plums for $40.90
11L + 6P = 40.9 Equation 2
Here is the system of equations.
4L + 4P = 21.6 Equation 1
11L + 6P = 40.9 Equation 2
Divide both sides of Eq. 1 by 4.
L + P = 5.4
Multiply both sides by -6.
-6L - 6P = -32.4
Add the equation above to the Eq. 2.
5L = 8.5
L = 8.5/5
L = 1.7 <------- price of a lemon
L + P = 5.4
1.7 + P = 5.4
P = 3.7 <------ price of a plum
Each lemon costs $1.70. Each plum costs $3.70.
A survey about phone service has a margin of error of 5%. Out of 150 people surveyed, 103 said that they were pleased with their service. The phone company has 72,000 customers. What is the range of the number of people that are satisfied?
A. 46,968 to 51,912 customers
B. 46,986 to 51,192 customers
C. 46,698 to 51,291 customers
D. 48,696 to 52,191 customers
Answer:
The range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.
Step-by-step explanation:
Hi, to solve this problem you need to calculate the total number of customers that are pleased with the service, based on the 150 people sample.
so:
(72,000 x 103 )÷150 = 49,440
The next step is to calculate the 5% margin of error of that result.
49,440 x 0.05= 2,472
Finally, to obtain the range you need to add and subtract the margin to the total number of customers that are pleased with the service.
49,440-2,472= 46,968
49,440 + 2,472=51,912
So, the range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.
12z-5+3z combine like terms help plz hurry
Answer:
15z-5
Step-by-step explanation:
12z+3z=15z
-5=-5
Answer:
-3(-4y + 3) + 7y
distribute the -3 through the parenthesis
12y - 9 + 7y
19y - 9
Lettter A
Step-by-step explanation:
Which value is the product of (-14/19)(-1 5/14) in simplified form?
[tex]\left(-\dfrac{14}{19}\right)\left(-1\dfrac{5}{14}\right)\\\\\text{the product of two negative numbers is positive}\\\\\text{convert the mixed number to the improper fraction}\\\\\left(\dfrac{14}{19}\right)\left(\dfrac{14+5}{14}\right)=\dfrac{14\!\!\!\!\!\diagup^1}{19\!\!\!\!\!\diagup_1}\cdot\dfrac{19\!\!\!\!\!\diagup^1}{14\!\!\!\!\!\diagup_1}=1[/tex]
Answer:
1
Step-by-step explanation:
(-14/19)(-1 5/14)
We need to convert -1 5 /14 to an improper fraction so we can multiply
-1 5/14 = - (14*1 +5) /14 = -19/14
(-14/19) * (-19/14)
=1
melissa pays a car insurance premium of $160 each month. she starts to carpool to work. she informs her car insurance conpany. the company takes 5% off. how much is her monthly car insurance premium
Answer:
152$
Step-by-step explanation:
160-5%=152
Answer:
$152
Step-by-step explanation:
160 × 5% = 8
160 - 8 = $152
does this graph represent a function? why or why not?
I need help with #2
Answer:
28 < x < 114
Step-by-step explanation:
x cannot be larger than or even equal to 71 + 43 = 114. So it must be less than 114.But there are limits on the other end as well. 43 +x > 71, otherwise you won't have a triangle. so you have to solve that inequality as well43 + x > 71 Subtract 43 from both sides.43-43 + x > 71 - 43x > 28To put this in the form of the answer you need it looks like this.28 < x < 114Sue sold 26 more newspapers than bill, and bill sold three times as many as Harry. If Harry sold p newspapers, how many did Sue sell?
Answer:
Let p =Harry's papers
Then 3p =Bill's papers (3 times the number Harry has)
Then 3p + 26 = Sue's papers (26 more than Bill)
which monomials are divisible by 9
Answer:
Numbers are divisible by 9 if the sum of all the individual digits is evenly divisible by 9
Step-by-step explanation:
5+3+6+4 = 18
18 is divisible by 9 so therefore, those numbers are monomials of the number 9.
Monomials that are divisible by 9 are those whose numeric coefficient is divisible by 9. For example, the monomial 27x or 81y^2 are both divisible by 9 because their numeric coefficients (27 and 81, respectively) are divisible by 9.
Explanation:In mathematics, a monomial is an algebraic expression consisting of one term. Monomials that are divisible by 9 are those whose numeric coefficient is divisible by 9. For example, if you have a monomial like 27x, you can check if it's divisible by 9 by dividing the numeric coefficient (27) by 9. Since 27 divided by 9 is equal to 3, you can conclude that 27x is divisible by 9. Another example would be 81y^2 where the numeric coefficient is 81. Because 81 divided by 9 equal to 9, 81y^2 is also divisible by 9. So any monomial with a numeric coefficient that is a multiple of 9 is divisible by 9.
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A rescue helicopter is used to help victims who fell in a ditch. The helicopter begins at sea level, which is an elevation of 0 feet. It then travels down for 100 seconds at a speed of 10.5 feet per second. It then travels directly up for 150 seconds at a speed of 5.2 feet per second. After this 250 second period, how much time, in seconds, will it take for the rescue helicopter to travel back to sea level at the helicopter's maximum speed of 15.8 feet per second?
Answer:
The helicopter still needs to fly up sec 17.0886 at maximum speed.
Step-by-step explanation:
how to graph 2x+4y=28
Answer:
Solve for y
.
Tap for fewer steps...
Subtract 7x
from both sides of the equation.
−4y=−7x+28
Divide each term by −4
and simplify.
Tap for fewer steps...
Divide each term in −4y=−7x+28
by −4
.
−4y−4=−7x−4+28−4
Simplify the left side of the equation
by cancelling the common factors.
Tap for fewer steps...
Reduce the expression by cancelling the common factors.
Tap for fewer steps...
Factor 4
out of 4y
.
−4(y)−4=−7x−4+28−4
Move the negative one from the denominator of y−1
.
−(−1⋅y)=−7x−4+28−4
Simplify the expression.
Tap for fewer steps...
Multiply −1
by y
.
−(−1y)=−7x−4+28−4
Rewrite −1y
as −y
.
y=−7x−4+28−4
Simplify each term.
Tap for fewer steps...
Move the negative in front of the fraction.
y=7x4+28−4
Simplify −−7x4
.
Tap for fewer steps...
Multiply −1
by −1
.
y=1(7x4)+28−4
Multiply 7x4
by 1
.
y=7x4+28−4
Divide 28
by −4
.
y=7x4−7
Use the slope-intercept form to find the slope and y-intercept.
Tap for fewer steps...
The slope-intercept form is y=mx+b
, where m is the slope and b
is the y-intercept.
y=mx+b
Find the values of m
and b using the form y=mx+b
.
m=74
b=−7
The slope of the line is the value of m
, and the y-intercept is the value of b
.
Slope: 74
Y-Intercept: −7
Any line can be graphed using two points. Select two x
values, and plug them into the equation to find the corresponding y
values.
Tap for fewer steps...
Choose 0
to substitute in for x
to find the ordered pair.
Tap for fewer steps...
Replace the variable x
with 0
in the expression.
f(0)=7(0)4−7
Simplify the result.
Tap for fewer steps...
Multiply 7
by 0
.
f(0)=04−7
Divide 0
by 4
.
f(0)=0−7
Subtract 7
from 0
.
f(0)=−7
The final answer is −7
.
−7
The first point is (0,−7)
.
(0,−7)
Choose 1
to substitute in for x
to find the ordered pair.
Tap for fewer steps...
Replace the variable x
with 1
in the expression.
f(1)=7(1)4−7
Simplify the result.
Tap for fewer steps...
Multiply 7
by 1
.
f(1)=74−7
To write −−71
as a fraction with a common denominator, multiply by 44
.
f(1)=74+−71⋅44
Write each expression with a common denominator of 4
, by multiplying each by an appropriate factor of 1
.
Tap for fewer steps...
Combine.
f(1)=74+−7⋅41⋅4
Multiply 4
by 1
.
f(1)=74+−7⋅44
Combine the numerators over the common denominator.
f(1)=7−7⋅44
Simplify the numerator.
Tap for fewer steps...
Multiply −7
by 4
.
f(1)=7−284
Subtract 28
from 7
.
f(1)=−214
Move the negative in front of the fraction.
f(1)=−214
The final answer is −214
.
−214
The second point is (1,−214)
.
(1,−214)
Create a table of the x
and y
values.
xy0−71−214
Graph the line using the slope and the y-intercept, or the points.
Slope: 74
Y-Intercept: −7
xy0−71−214
Step-by-step explanation:
The following picture is how you graph the equation 2x+4y=28
please help solve 6x < 42
6x<42
Divide 6 by both sides
x<7
how do you evaluate the function f(x)=x+6 when x = -2,0 & 5? (step by step please!)
Answer:
f(-2) = 4
f(0) = 6
f(5) = 11
Step-by-step explanation:
f(x)=x+6 when x = -2
Substitute x=-2
f(-2) = -2+6
f(-2) = 4
f(x)=x+6 when x = 0
Substitute x=0
f(0) = 0+6
f(0) = 6
f(x)=x+6 when x = 5
Substitute x=5
f(5) = 5+6
f(5) = 11
5 and 3/7 times - 4 and 3/8
HELP!! I'm studying
Your answer will be -23.75. Please let me know if you need something different or have any questions or concerns. Hope I helped.
Ethan buys a video game on sale. If the video game usually costs $39.99, and it was on sale for 20% off, how much did Ethan pay.
Answer: $31.99
Step-by-step explanation:
So, it is originally $39.99, so first we convert 20% to a decimal, which is 0.2.
Then we do 39.99 * 0.2 to find how much money was taken off.
39.99 * 0.2 = 7.998, or $8
Now, we do the original dollar amount, $39.99, minus the discount, $8, which equals $31.99.
what is the distance between the points -3, 5 and -3,-9?
Answer:
the distance is 14
Step-by-step explanation:
To find the distance between 2 points, we can use the distance formula
d = sqrt( (x2-x1)^2 + (y2-y1) ^2 )
d = sqrt( (-3--3)^2 +(-9-5) ^2 )
= sqrt( (-3+3)^2 + (-14)^ 2)
= sqrt(0^2 +14^2)
= sqrt( 14^2)
= 14
Hi there! :)
Answer:
14
*The answer must have a positive sign.*
Step-by-step explanation:
[tex]x=\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]
[tex]x=\sqrt{(-3--3)^2+(-9-5)^2}[/tex]
[tex]x=\sqrt{(-3+3)^2+(-14)^2}[/tex]
[tex]x=\sqrt{(0^2+14^2)}[/tex]
[tex]x=\sqrt{14^2=14}[/tex]
Final answer is 14.
Hope this helps!
Thanks!
-Charlie
Have a nice day! :)
:D
What is the sale of the original price?
The percent of discount is 25 percent.
The sale price is 40 dollars.
Please help I’ll give Brainliest!!
Answer:
50 dollars
Step-by-step explanation:
40*25%=10
40+10= 50 dollars
Add it to find the original sales price which would end up being 50 dollars! Hope this helps, have a good day. c;
Can someone please help me with these problems I don't know how to do them. Thank you
[tex] \bold{FOR \: 1st \: image }[/tex]
By straight line angles property,
▶60 + 4x +20 =180
▶80 +4x =180
▶4x = 180 -80
▶4x = 100
x = 25
So, Second angle
▶4 ×25 +20
▶100 + 20
▶120
[tex] \bold{FOR \: 2nd \: image }[/tex]
3x + x =116
4x=116
x = 29
other angle = 3 ×29
=87
[tex] \bold{FOR \: 3rd \: image }[/tex]
ANGLE CAB + ANGLE ACB = 90
2x + x + 30 =90
3x + 30 =90
3x = 90 - 30
3x= 60
x=20
So, angle CAB = 2 ×20 = 40
1) What is the solution of the given system?
5x-y=-7
3x-y=-2
A: (-2.5,-5.5)
B: (-2.5,11)
C: (5,2.5)
D: (2.5,5.5)
2) what is the solution of the given system?
5x+7y=32
8x+6y=46
A: (8, 5)
B: (1, 5)
C: (7, 0)
D: (5, 1)
Answer:
1 x=-2.5 y = -5.5
2. x=5 y=1
Step-by-step explanation:
1) What is the solution of the given system?
5x-y=-7
3x-y=-2
Multiply the second equation by -1
-1*(3x-y)=-1(-2)
-3x +y = 2
Now add the first equation to the modified second equation
5x-y=-7
-3x +y = 2
------------------
2x = -5
Divide each side by 2
2x/2 = -5/2
x = -2.5
Now we need to find y
-3x+y =2
-3(-2.5) +y =2
7.5 +y =2
Subtract 7.5 from each side
7.5 -7.5 +y =2-7.5
y = -5.5
2) what is the solution of the given system?
5x+7y=32
8x+6y=46
Divide the second equation by 2
8x/2+6y/2=46/2
4x+3y =23
Multiply the first equation by 4
4 (5x+7y)=32*4
20x+28y = 128
Now multiply the modified 2nd equation by -5
-5(4x+3y )=-5(23 )
-20x -15y = -115
Lets add the new equations together to eliminate x
20x+28y = 128
-20x -15y = -115
---------------------
13y = 13
Divide each side by 13
13y/13 =13/13
y=1
Now substitute back in to find x
5x+7y=32
5x +7(1) =32
5x +7 =32
Subtract 7 from each side
5x+7-7 =32-7
5x =25
Divide by 5
5x/5 =25/5
x=5
An initial population of 1,500 increases at an annual rate of 15%. Write an exponential function to model the population increase. Use the function to find the population after 15 years.
To model the population increase, use the formula P = P0 * (1 + r)^t, where P is the final population, P0 is the initial population, r is the annual growth rate, and t is the number of years. The population after 15 years can be found by substituting t = 15 into the function.
Explanation:To model the population increase, we can use the formula for exponential growth.
The formula is P = P0 * (1 + r)^t, where P is the final population, P0 is the initial population, r is the annual growth rate (as a decimal), and t is the number of years.
In this case, the initial population is 1,500 and the annual growth rate is 15%. So the exponential function to model the population increase is P = 1500 * (1 + 0.15)^t.
To find the population after 15 years, we can substitute t = 15 into the function. P = 1500 * (1 + 0.15)^15
make an standard form equation based on this graph.
Answer:
y = -1/4x - 2
Step-by-step explanation:
Step 1: The y-intercept is on the y-axis line. The y-intercept in this graph is -2.
Step 2: To find the slope. The line is going downwards so that helps us know that the slope is going to be negative. You want to get the bottom point to the top. So move upwards 1 time and move 4 times to the left.
Step 3: Now just put everything together.
use the GCF to factorthe expression 40x+24y-56
Answer:
8(5x + 3y -7)
Step-by-step explanation:
A common number in 40x+24y-56 is 8.
40x / 8 = 5x
24y / 8 = 3y
-56 / 8 = -7
We finally get 8 (5x + 3y -7)
Hope this helps!
-sruthi123
Answer:
8 (5x +3y -7)
Step-by-step explanation:
40x+24y-56
40x = 8*5*x = 2*2*2 *5*x
24y = 3*8*y = 3*2*2*2*y
56 = 7*8 = 7 * 2*2*2
As we can see, each of these terms has a greatest common factor of 8, so we can factor it out
8 (5x +3y -7)
a man's speed with the current is 15km/hr and the speed of the current is 2.5km/hr.the man's speed against the current is
Answer:
10 km/h
Step-by-step explanation:
Let s = man's speed and c = speed of current
s + c = 15
c = 2.5 Insert value of c
s + 2.5 = 15 Subtract 2.5 from each side
s = 12.5 km/h
=====
Speed against current
= 12.5 – 2.5
= 10 km/h
solve for c if the product of c and 7 is less than 49
Answer:
c< 7
Step-by-step explanation:
the product of c and 7 is less than 49
Product means multiply
7c< 49
Divide each side by 7
7c/7 < 49/7
c< 7
Answer:
C = 7
Step-by-step explanation:
Equation:
C * 7 = 49
The opposite of multiplication is division, so we can find the solution through division:
49 / 7
= 7
C equals 7
We can check our work through multiplication:
7 * 7 = 49
Good Luck,
- I.A. -
Line AB contains points A (−2, 3) and B (4, 5). Line AB has a slope that is
Answer:
2/6
Step-by-step explanation:
Remember to do m equals y2 minus y1 over x2 minus x1
Answer:
1/3
Step-by-step explanation:
To find the slope when we have 2 point, we use the formula
m = (y2-y2)/(x2-x1)
= (5-3)/(4--2)
= (5-3)/(4+2)
= 2/6
= 1/3
Write an algebraic expression for each word expression. Then evaluate the expression for these values of the variable : 1/2,4,and 6.5
1.) The quotient of p and 4
2.) 4 less than the sum of x and five
Answer:
1)p/4,2,1,1.625 2)x+1,3/2,5,7.5
Step-by-step explanation:
1) p/4
1/2 divided by 4=2
4/4=1
6.5/4=1.625
2) x+1
1/2+1=3/2
4+1=5
6.5+1=7.5