Answer:
[tex]x=3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]2x+7+2x=19[/tex]
First, let's combine like terms on the left:
[tex](2x+2x)+7=19[/tex]
Add:
[tex]4x+7=19[/tex]
Subtract 7 from both sides:
[tex](4x+7)-7=(19)-7[/tex]
The left side cancels. Subtract on the right:
[tex]4x=12[/tex]
Now, divide both sides by 4:
[tex]\frac{4x}{4}=\frac{12}{4}[/tex]
The left cancels. Divide on the right:
[tex]x=3[/tex]
So, the value of x is 3.
Answer:
X=3
Step-by-step explanation:
2x+2x(=4x)=19-7
4x=12
X=12\4(divide)
x=3
When Emily woke up, the temperature was 8°F. By noon, the temperature had risen by 3°F. It rose another 6°F in the afternoon to reach the day’s high temperature. By the time Emily went to bed, the temperature had dropped 21°F from the high temperature. What was the temperature when Emily went to bed?
Answer:
The temperature when Emily went to bed was -4°F.
Step-by-step explanation:
8°F + 3°F = 11°F (noon)
The temperature had risen by 3°F by noon. This means to add 3.
noon + 6°F = the day's high temperature
11°F + 6°F = 17°F (the day's high temperature)
The temperature rose another 6°F in the afternoon. This means add 6 to the temperature from noon.
high temperature - 21°F = temperature at bed
17°F - 21°F = -4°F
The temperature dropped by 21°F when Emily went to bed. This means to subtract 21 from the day's high temperature.
Risen, rose, and increase mean addition.
Decrease, dropped, and decline mean subtraction.
Hope this helps :)
The planners in the local department of transportation want to build a
highway with two rest stops between the towns. The rest stops will divide
the highway into three equal parts.
Where, on the coordinate plane, should the rest stops should be built?
Answer:
(-0.75, -3.25) and (4.125, -2.125)
Step-by-step explanation:
Let the town, Thayer = point A(-4, -4)
Town Purdy = point D(9, -1).
Let B and C represent the two rest stops that divides the highway (AD) into 3 equal parts, namely: AB = BC = CD.
Distance of point B from A to D = ⅓ of AD.
Point C = the midpoint of point B and D.
First, using the formula for internal division, let's find the coordinates of point B:
Internal division to find the coordinates of point B is given as:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] A(-4, -4) = (x_1, y_1) [/tex]
[tex] D(9, -1) = (x_2, y_2) [/tex]
[tex] m = 1, n = 3 [/tex]
Plug in the necessary values into the formula stated above to solve for x and y of point B:
[tex] x = \frac{1*9 + 3*(-4)}{1 + 3} [/tex]
[tex] x = \frac{9 - 12}{4} [/tex]
[tex] x = \frac{-3}{4} [/tex]
[tex] x = -\frac{-3}{4} = 0.75 [/tex]
[tex] y = \frac{1*(-1) + 3*(-4)}{m + n} [/tex]
[tex] y = \frac{-1 - 12}{1 + 3} [/tex]
[tex] y = \frac{-13}{4} [/tex]
[tex] y = -3.25 [/tex]
The coordinates of point B = (-0.75, -3.25)
Next, find the coordinates of point C, which is the midpoint of B(-0.75, -3.25) and D(9, -1) using the midpoint formula.
Midpoint (C) of BC, for B(-0.75, -3.25) and D(9, -1) is given as:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] B(-0.75, -3.25) = (x_1, y_1) [/tex]
[tex] D(9, -1) = (x_2, y_2) [/tex]
Thus:
[tex] C(\frac{-0.75 + 9}{2}, \frac{-3.25 + (-1)}{2}) [/tex]
[tex] C(\frac{8.25}{2}, \frac{-4.25}{2}) [/tex]
[tex] C(4.125, -2.125) [/tex]
The rest stops should be built at (-0.75, -3.25) and (4.125, -2.125) in the coordinate plane.
How do I solve this?
Answer:
x is in the range [-1,4]
Step-by-step explanation:
I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.
We are given the following inequality:
| 2x - 3 | <= 5
This implies two possible cases:
[1] -5 <= 2x -3
Or
[2] 2x - 3 <= 5
So let's solve x for both of these cases:
[1] -5 <= 2x - 3
-2 <= 2x
-1 <= x
[2] 2x - 3 <= 5
2x <= 8
x <= 4
So from these cases, we can say the following is true:
x >= -1 and x <= 4
Thus, we can write this in the form
-1 <= x <= 4
Or in interval notation:
{ x is element of reals | -1 <= x <= 4}
Also written as
x is in the range [-1,4]
Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.
Cheers.
Complete the equation.
Please someone help.
Simplify the ratio.
49 to 77
Answer:
7/11 as a fraction if your talking about a fraction
Steven buys 24 bags of flour. Each bag holds 25 pounds of flour. How much flour did Steven buy?
Answer:
c
Step-by-step explanation:
Find the derivative r '(t) of the vector function r(t). t sin 6t , t2, t cos 7t Part 1 of 4 The derivative of a vector function is obtained by differentiating each of its components. Thus, if r(t) = f(t), g(t), h(t) , where f, g, and h are differentiable functions, then r'(t) = f '(t), g'(t), h'(t) . For r(t) = t sin 6t, t2, t cos 7t , we have f(t) = t sin 6t, which is a product. Using the Product Rule and the Chain Rule, we have
Answer:
[tex]r'(t)=(sin(6t)+6tcos(6t),2t,cos(7t)-7tsin(7t))[/tex]
Step-by-step explanation:
We need to find the derivative [tex]r'(t)[/tex] of the vector function :
[tex]r(t)=(tsin(6t),t^{2},tcos(7t))[/tex]
In order to find [tex]r'(t)[/tex], we are going to differentiate each of its components ⇒
We can write the following ⇒
[tex]r(t)=(f(t),g(t),h(t))=(tsin(6t),t^{2},tcos(7t))[/tex] ⇒
[tex]f(t)=tsin(6t)\\g(t)=t^{2}\\h(t)=tcos(7t)[/tex]
Let's differentiate each function to obtain [tex]r'(t)[/tex] :
[tex]f(t)=tsin(6t)[/tex] ⇒ [tex]f'(t)=1.sin(6t)+t.cos(6t).6=sin(6t)+6tcos(6t)[/tex] ⇒
[tex]f'(t)=sin(6t)+6tcos(6t)[/tex]
Now with [tex]g(t)[/tex] :
[tex]g(t)=t^{2}[/tex] ⇒
[tex]g'(t)=2t[/tex]
With [tex]h(t)[/tex] :
[tex]h(t)=tcos(7t)[/tex] ⇒ [tex]h'(t)=1.cos(7t)+t[-sin(7t)].7[/tex] ⇒
[tex]h'(t)=cos(7t)-7tsin(7t)[/tex]
Finally we need to complete [tex]r'(t)=(f'(t),g'(t),h'(t))[/tex] with its components :
[tex]r'(t)=(sin(6t)+6tcos(6t),2t,cos(7t)-7tsin(7t))[/tex]
7= x + 6 solve for x
Ralph is leasing a $32,000 car for 36 months. The terms of his lease include an 8.5% interest rate (money factor of 0.00354) and a residual value of 72%. Determine Ralph's approximate monthly lease payment. a. $145.00 b. $230.40 $248.89 d. $443.73 C.
Answer:
d. 443.73
Step-by-step explanation:
i got it right on the test
Ralph approximate monthly lease payment is: d. $443. 73.
Monthly Lease payment
First step:
Residual value=$32,000×72%
Residual value=$23,040
Second step:
Depreciation=$32,000-$23,040
Depreciation=$8,960
Third step:
Base monthly lease payment=$8,960/36
Base monthly lease payment=$248.89
Fourth step:
Interest per month=($32,000+$23,040)×0.00354
Interest per month=$55,040×0.00354
Interest per month=$194.84
Fifth step
Monthly lease payment=$248.89+$194.84
Monthly lease payment=$443.73
Inconclusion Ralph approximate monthly lease payment is: d. $443. 73.
Learn more about monthly lease payment here:https://brainly.com/question/25795577
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Please do this no fake stuff please. Click on the paper clip to see the problems stay safe
Write out the algebraic proportion of the ratio of a to 7 is equal to the ratio three more than a to 13. A. a/7 = 13/a+3 B. a/7 = a-3/13 C. a/7 = a+3/13 D. 7/a = a+3/13 Please be fast!
Answer:
I think its c
Step-by-step explanation:
20 experts can solve a complex mathematical question in 60 minutes. 20 dull people
can solve the same complex mathematical question in 180 minutes. If 10 experts and
10 dull people sit to solve the same question, how many hours will they take
Answer: 10*1/20*1+10*1/20*3
(hints..... 1 experts =1/20*60mins and 1 dull =1/20*180mins)
When I double my number, add four, and then subtract my number and subtract three, I get my number plus one. What is my number?
Answer: Let your no.= x
double the number=2x
add 4 = 2x+4
subtract same number=2x+4-x
subtract 3=2x+4-x-3
I get my number plus 1=x+1
so equation we get
2x+4-x-3=x+1
x+1=x+1
x=x
it means x is equal to all real number
So your number can be any real number
Select the expression that is equivalent to
Answer:
[tex](4.3\cdot 2.6)\times 10^{5+7}[/tex]
Step-by-step explanation:
All parts are multiplied. The powers of 10 are multiplied by adding their exponents. The product is formed as shown below.
Which of the following expressions is equivalent to (-7)(-7)(-7)?
Answer:
-343
Step-by-step explanation:
(-7)(-7)=49
(49)(-7)= -343
Biometric measures evaluate: Question 17 options: data about a person's heartbeat, perspiration levels, respiration, and body movements. data about a person's attitudinal changes. changes in sales after exposure to an emotional advertisement. increases in verbal responses to questions posed in focus groups.
Answer:
data about a person's heartbeat, perspiration levels, respiration, and body movements.
Step-by-step explanation:
the answer to the question is that
biometric measures are useful for evaluating data like that of heartbeat, perspiration levels, respiration, body movements of a person.
Biometrics is useful for the evaluation of the physical characteristics of a person. such a measure is for authentication and security identification. the system gives allowance for certain features of a person to be recognized using biometric data and also algorithm.
find the slope of the line that passes through (3,4) and (1,7)
Answer:
-3/2
Step-by-step explanation:
Since we have two points, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 7-4)/(1-3)
= 3/-2
= -3/2
Answer:
The answer is
[tex] - \frac{3}{2} [/tex]Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{y_{2} -y_{1}}{x_{2} -x_{1} } [/tex]
where
(x1 , y1) and (x2 , y2) are the points
m is the slope
From the question the points are
(3,4) and (1,7)
The slope is
[tex]m = \frac{7-4}{1 - 3} \\ = - \frac{3}{2} [/tex]
We have the final answer as
[tex] - \frac{3}{2} [/tex]
Hope this helps you
I need help , I don’t understand
Answer:
Mean- 5
Median- 6
Mode- 6
Step-by-step explanation:
1. Place the numbers in order from smallest to biggest.
0,2,3,4,5,6,6,6,7,8,8
Finding the mean (average)- add all the numbers in thd data set together. Which would be 55. Then, you would divide that number by the number of the numbers in the data set. (11 numbers.) 55/11. 55 divided by 11 is 5, so that is your answer.
Finding the median- This is why we put the numbers in order. We are finding the number that is directly in the middle of the numbers. Mark one on each side until you get to the number in the middle. In this case, the median number will be 6.
Finding the mode- This one is easy. It's simply the number that repeats itself the most. In this case it would be 6 because it repeats itself 3 times.
8r-6+2+4r Show all work
Answer
-4+12r
8r-6+2+4r
-6+2=-4
8r+4r=12r
Solve 2x−3=13 for the varialbe.
Answer:
The answer is 8
Step-by-step explanation:
2x-3=13
2x=13+3
2x=16
x=8
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. If y varies inversely as the square of x, and y=7/4 when x=1, find y when x=3
Answer:
y=7/36
Step-by-step explanation:
Since y varies inversely to the square of x, we can say
[tex]y = z/x^2[/tex]
where z is the constant of variation.
Then, from knowing that y=7/4 when x=1, we plug them in to find z.
[tex]7/4=z/(1^2)\\z=7/4[/tex]
Now we have the full equation,
[tex]y=7/4x^2[/tex]
Plug x=3 in and we get,
[tex]y=7/4(3^2) = 7/36[/tex]
PLEASE CAN SONEONE HELP ME ON THIS I WILL GIVE YOU 20 POINTS!!!
Answer:
basicly each side equals 2.25 thats the only possible way i see it but im kinda dumb
Step-by-step explanation:
Use the drop down menus to indetify the roots in these english words retainer inductive convivial typography
Answer:
tain, duc, viv, graph
Step-by-step explanation:
Answer:
tain, duc, viv, graph Also as 3, 3, 2, 3
Step-by-step explanation:
Given f(x)=10(3−x)+6, what is the value of f(−1)?
35
37
26
46
Answer:
46
Step-by-step explanation:
[tex]f(x) = 10(3 - x) + 6 \\ f( - 1) = 10(3 - ( - 1)) + 6 \\ f( - 1) = 10(3 + 1) + 6 \\ f( - 1) = 10 \times 4 + 6 \\ f( - 1) = 40 + 6 \\ \huge \red{ \boxed{ f( - 1) = 46}} \\ [/tex]
We defined the operation of concatenation for sets of strings on p. 10, AB = { XY | X ∈ A and y ∈ B}Are the regular sets closed under concatenation? That is, if A and B are regular sets, is AB guaranteed to be a regular set? Prove or show a counterexample.
Answer and Explanation:
Solution: The operation of concatenation for a set of string on p. and the set is
AB = {XY | X ∈ A and y ∈ B}.
We need to satisfy all these following properties to find out the standard set is closed under concatenation.
1- Union of two standard sets also belongs to the classic collection. For example, A and B are regular. AUB also belongs to a regular group.
2- Compliment of two standards set A and B are A’ and B’ also belonging to the standard set.
3- Intersection of two standards set A and B is A∩B is also a regular set member.
4- The difference between two regular sets is also standard. For example, the difference between A and B is A-B is also a standard set.
The closure of the regular set is also standard, and the concatenation of traditional sets is regular.
Simplify the expression: 2(4 + 6j)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 + 12j}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2(4 + 6j)}[/tex]
Distribute 2 through the parentheses
[tex] \longrightarrow{ \sf{2 \times 4 + 2 \times 6j}}[/tex]
[tex] \longrightarrow{ \sf{8 + 12j}}[/tex]
Hope I helped!
Best regards! :D
What is the value of the digit 0? 9.206
Answer:
There Is No Value For The Digit 0
Step-by-step explanation:
It takes Jesse 2/3 hour to mow her backyard. How much of the yard will be mowed after 1/4 hour?
devide 2/3 to 1/4 to get theanwser
Step-by-step explanation:
A news offers a subscription that costs $28.50 for 6 months. what is the unit price per month? Show your work. -Ratio
Answer: $4.75.
Step-by-step explanation:
It is given that a news offers a subscription that costs $28.50 for 6 months.
We need to find the unit price per month.
The formula for unit price per month is
[tex]\text{Unit price per month}=\dfrac{\text{Total subscription cost}}{\text{Number of months}}[/tex]
[tex]\text{Unit price per month}=\dfrac{28.50}{6}[/tex]
[tex]\text{Unit price per month}=\dfrac{285}{60}[/tex]
[tex]\text{Unit price per month}=4.75[/tex]
Therefore, the unit price per month is $4.75.
The numbers on two consecutively numbered time lockers have a sum of 129. What are the locker numbers? The locker numbers are?
x = one number
x + 1 = second number
x + x + 1 = 129
Combine like terms
2x + 1 = 129
Subtract 1 from both sides.
2x = 128
Divide both sides by 2
x = 64
The locker numbers are 64 and 65