seven more than twice a number is -4
Answers
Answer:
-5.5
Step-by-step explanation:
\(2x+7=-4\\2x=-4-7\\2x=-11\\x=-5.5\)
Answer:
-11/2
Step-by-step explanation:
Let the number be a
(2a)+7= -4
2a= -4-7
2a= -11
a= -11/2
Related Questions
There are three containers: a 10 liter container, a 7 liter container, and a 4 liter container. The 7 and 4 liter containers are initially full of water, while the 10 liter container is empty. There is only one operation: pour the contents of one container into the other stopping only when the pouring container is empty or the receiving container is full. • Is there a sequence of pourings that leaves exactly 2 liters in the 4 liter container? • Model this as a graph problem: Define the graph. What is the problem that needs to be solved? What algorithm can be used to solve this problem?
Answers
One algorithm that can be used to solve this problem is the breadth-first search algorithm. This algorithm explores all the possible pourings from the initial state, and then all the possible pourings from those states, and so on, until the desired state is reached.
Yes, there is a sequence of pourings that leaves exactly 2 liters in the 4 liter container. The sequence of pourings is as follows:
1. Pour the 7 liter container into the 10 liter container. The 7 liter container is now empty and the 10 liter container has 7 liters of water.
2. Pour the 4 liter container into the 10 liter container. The 4 liter container is now empty and the 10 liter container has 11 liters of water.
3. Pour the 10 liter container into the 7 liter container until the 7 liter container is full. The 10 liter container now has 4 liters of water and the 7 liter container is full.
4. Pour the 7 liter container into the 4 liter container until the 4 liter container is full. The 7 liter container now has 3 liters of water and the 4 liter container is full.
5. Pour the 4 liter container into the 10 liter container. The 4 liter container is now empty and the 10 liter container has 8 liters of water.
6. Pour the 7 liter container into the 4 liter container. The 7 liter container is now empty and the 4 liter container has 3 liters of water.
7. Pour the 10 liter container into the 7 liter container until the 7 liter container is full. The 10 liter container now has 1 liter of water and the 7 liter container is full.
8. Pour the 7 liter container into the 4 liter container until the 4 liter container is full. The 7 liter container now has 2 liters of water and the 4 liter container is full.
9. Pour the 4 liter container into the 10 liter container. The 4 liter container is now empty and the 10 liter container has 9 liters of water.
10. Pour the 7 liter container into the 4 liter container. The 7 liter container is now empty and the 4 liter container has 2 liters of water.
To model this as a graph problem, we can define the graph as follows:
- Each vertex represents a state of the containers, with the amount of water in each container as the vertex label.
- Each edge represents a pouring operation, with the label indicating which container is being poured into which container.
The problem that needs to be solved is finding a path from the initial state to the desired state, where the 4 liter container has 2 liters of water.
One algorithm that can be used to solve this problem is the breadth-first search algorithm. This algorithm explores all the possible pourings from the initial state, and then all the possible pourings from those states, and so on, until the desired state is reached.
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I don't know how to do this
Answers
IF CORRECT ILL MARK BRAINLIEST
FIND THE SURFACE AREA OF THE CYLINDER
Answers
Answer: A≈1015.4
Step-by-step explanation:
A=2πrh+2πr2=2·π·8·12.2+2·π·82≈1015.36275
Answer:
407 mm²
Step-by-step explanation:
The formula for the surface area of a clyinder is: A = 2\(\pi\)r · (r + h)
Plugging in the given values, we have: A = 2\(\pi\)4 · (4 + 12.2)
A = 2\(\pi\)4 · (4 + 12.2)
A = 2\(\pi\)4 · 16.2
A = 2(3.14)4 · 16.2
A = 406.944
A = 407 (rounded)
hope this helps!
Identify the discriminant of the following quadratic and
determine how many real solution(s) the equation has.
-4x² - 4x6 = 0
Answers
Answer:
x=0,4√−1,−4√−1
3 solutions
Help, please! This is due tomorrow evening! Show work, please! Will give brainliest!
Answers
Answer:
h = height reached
-16 t^2 = 1/2 g t^2 where g = 32 ft/sec^2
v t = height due to original vertical speed v
s = initial height
1. -45 = -16 t^2 + 62 t + 0 measuring height from original height
solving quadratic
2. t = 4.5 sec
3. time to reach max height = v / g = 62/32 = 1.94 sec
H (above release point) = -16 (1.94^2) + 62 * 1.94 = 60 ft
4. 2 * 1.94 = 3.88 solved in part 3
5. 1.94 solved on part 3
Check: time to fall 60 + 45 ft = 105 ft
105 = 1/2 g t^2
t = (210 / 32)^1/2 = 2.56 sec
total time = 2.56 * 1.94 = 4.5 sec time to fall + rise time
-45 = -16 * 4.5^2 + 62 * 4.5
-45 = -324 + 279 = -45 checking time to reach -45 feet using given equation
Answer:
p
Step-by-step explanation:
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believethe population proportion is approximately 19%. You would like to be 99% confident that your estimate is within 1.5% of the true population proportion. How large of a sample size is required? Do not round mid-calculation.n
Answers
We are given
Proportion (p)
\(p=19\%=0.19\)Level of significance = 99%
margin of error = 1.5% = 0.015
We want to find n
Solution
Note: The margin of error formula is given as
\(MarginOfError=z_{\frac{\alpha}{2}}\times\sqrt[]{\frac{p(1-p)}{n}}\)The image of the formula to use is
In the question, we have
\(\begin{gathered} \alpha=0.01 \\ \text{from the statistics table} \\ z_{\frac{\alpha}{2}}=z_{\frac{0.01}{2}}=z_{0.005}=2.576 \end{gathered}\)\(\begin{gathered} p=0.19 \\ MarginOfError=0.015 \end{gathered}\)Substituting the parameters
\(\begin{gathered} MarginOfError=z_{\frac{\alpha}{2}}\times\sqrt[]{\frac{p(1-p)}{n}} \\ 0.015=2.576\times\sqrt[]{\frac{0.19(1-0.19)}{n}} \\ \sqrt[]{\frac{0.19(1-0.19)}{n}}=\frac{0.015}{2.576} \\ \frac{0.19(0.81)}{n}=(\frac{15}{2576})^2 \\ \frac{n}{0.19(0.81)}=(\frac{2576}{15})^2 \\ n=0.19(0.81)(\frac{2576}{15})^2 \\ n=4538.870784 \\ n=4539\text{ (to the nearest whole number)} \end{gathered}\)Therefore, the sample size is as large as
\(n=4539\)
im so confused someone help please x
Answers
Answer:
a) 32 , 40000 b) to a rising in age correspond a rising in salary , c) because you can draw a curve(or a brach of hyperbola) that goes up. i guess(?)
Step-by-step explanation:
Ron's Car Rental Company charges a set fee for renting a car and an additional amount per mile driven. Frank has rented from Ron's three times and his charges are shown in the table below. How much does Ron charge per mile driven?
Answers
Answer:
22 cents per mile
Step-by-step explanation:
to get this answer, divide 17.60 by 4 to get the unit rate, or the rate when x=1.
i dont understand this
Answers
We can Add 7 black beads to make ratio 3 : 1.
Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.
There are three white beads in the picture.
Total beads we will have (b meaning black)b : 3
Ratio black : white beads 3 : 1
Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.
Find common ratio by dividing total by ratio white beads: 3/1 = 3
Multiply ratio black beads by common ratio. 3 X 3 = 9
We need 9 black beads in total.
Check answer
9 : 3
Both sides divisible by 3; reduce ratio
= 3 : 1
Which is Correct ratio
Hence, There will be a total of 9 black beads, but we already have 2 black beads:
(9 total) - (2 original) = (7 to add)
Therefore , we need to add 7 black beads.
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AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answers
When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.
We can use the Pythagorean theorem to find the length of AB:
AB^2 = AD^2 + BD^2
Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:
(8x)^2 = (x + 9)^2 + (7x - 9)^2
64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81
64x^2 = 50x^2 - 108x + 162
14x^2 + 108x - 162 = 0
Dividing the equation by 2, we get:
7x^2 + 54x - 81 = 0
Using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
a = 7, b = 54, c = -81
x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)
x = (-54 ± √(2916 + 2268)) / 14
x = (-54 ± √5184) / 14
x = (-54 ± 72) / 14
Now we solve for x:
Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7
Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9
Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.
Therefore, x = 9/7.
Substituting this value back into AB = 8x:
AB = 8 * (9/7) = 72/7 ≈ 10.29
Rounding to 2 decimal places, the length of AB is approximately 10.29 units.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
MARK AS BRAINLIEST!!!
The values of x and y vary directly
and one pair of values are given.
Write an equation that relates x
and y. Simplify completely.
x = 4, y = 6
[?]
y =
Answers
Answer:
\(y=-\frac{3}{2}\)
Step-by-step explanation:
\(\text{y = kx where k is a constant.}\)
\(6 = -4k\\k = \frac{6}{-4} =-\frac{3}{2}\)
What is the measure of BC?
Enter your answer in the box.
65
Answers
answer : the BC is measure by 4, and also if you wanna add this the AB is measure by 3.
Step-by-step explanation:
Marsha is driving 630 otal miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
Answers
Answer:
Marsha has driven 252 miles
Step-by-step explanation:
In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.
Hope this helps! :)
The weekly sales results of three sales teams are
isplayed below.
Which of the following statements is not true, according
to the graph?
Sales Results
100
O Team A has its highest sales toward the end of the
week
Team B has its highest sales toward the end of the
week
80
Dil Team C
Relative Frequency
O Team A has its lowest sales toward the beginning of
the week
Team C has its highest sales toward the beginning
of the week
II. Team B
40
Team A
20
Mon
TU
w
Thurs
Day
Answers
Answer:
c!!!!
Step-by-step explanation:
Find the median for this list of data. 85,84,82,88,64,90,85,78
Answers
Answer:84.5
Step-by-step explanation:
Answer:
84.5
Step-by-step explanation:
1. Put the numbers in numerical order.
2. Cross out the numbers on the far left and right until you get to 84 and 85.
3. Add the two numbers and divide by 2.
A bag contains 9 red marbles, 4 blue marbles, and 7 yellow marbles. You randomly select three marbles from the bag Rounding to the nearest hundredth, you are about how many times more likely to select three red marbles when you replace each marble before you select the next marble
Answers
The probability of selecting three red marbles when replacing each marble before selecting the next marble is about 24.3%, which is about 4.05 times more likely than when not replacing each marble before selecting the next marble at 6.0%.
The probability of selecting three red marbles when replacing each marble before selecting the next marble is 0.243. This is calculated by taking the number of red marbles (9) divided by the total number of marbles (20), then multiplying that number by itself three times. This probability is about 0.243 or 24.3%.When compared to the probability of selecting three red marbles when not replacing each marble before selecting the next marble, the probability is about 4.05 times greater. This is calculated by taking the number of combinations of three red marbles (84) divided by the total number of combinations of three marbles (20 x 19 x 18), then multiplying that number by itself three times. This probability is about 0.060 or 6.0%.
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Find the limit: \(\lim_{a x \to 0} \frac{(x + ax)^{2}-2(x + ax) + 1 - (x^{2} - 2x + 1)}{ax}\)
Answers
I'll let h = ax, so the limit is
\(\displaystyle\lim_{h\to0}\frac{(x+h)^2-2(x+h)+1-(x^2-2x+1)}h\)
i.e. the derivative of \(x^2-2x+1\).
Expand the numerator to see several terms that get eliminated:
\((x+h)^2-2(x+h)+1-(x^2-2x+1)=x^2+2xh+h^2-2x-2h+1-x^2+2x-1=2xh+h^2-2h\)
So we have
\(\displaystyle\lim_{h\to0}\frac{2xh+h^2-2h}h\)
Since h ≠ 0 (because it is approaching 0 but never actually reaching 0), we can cancel the factor of h in both numerator and denominator, then plug in h = 0:
\(\displaystyle\lim_{h\to0}(2x+h-2)=\boxed{2x-2}\)
Answer:
2x-2
Step-by-step explanation:
lim ax goes to 0 ( x+ ax)^2 -2 ( x+ax) +1 - ( x^2 -2x+1)
--------------------------------------------------
ax
Simplify the numerator by foiling the first term and distributing the minus signs
x^2+ 2ax^2 + a^2 x^2 -2x-2ax +1 - x^2 +2x-1
--------------------------------------------------
ax
Combine like terms
2ax^2 + a^2 x^2 -2ax
--------------------------------------------------
ax
Factor out ax
ax( 2x + ax -2)
----------------------
ax
Cancel ax
2x + ax -2
Now take the limit
lim ax goes to 0 ( 2x + ax -2)
2x +0-2
2x -2
Please can someone who knows the right answer help me? From a group of 5 boys and 3 girls, a boy and a girl will be selected to attend a conference. In how many ways can the select be made?
Answers
The selection can be made in 15 different ways, taking into account the distinct combinations of a boy and a girl from the given group of 5 boys and 3 girls.
To determine the number of ways a boy and a girl can be selected from a group of 5 boys and 3 girls to attend a conference, we can use the concept of combinations.
The number of ways to choose one boy from 5 boys is 5C1, which is equal to 5. Similarly, the number of ways to choose one girl from 3 girls is 3C1, which is equal to 3.
To select one boy and one girl, we need to multiply the number of ways to choose a boy and a girl together. Using the multiplication principle, we multiply the number of choices for each category: 5C1 * 3C1 = 5 * 3 = 15.
Therefore, there are 15 ways to select a boy and a girl from the given group to attend the conference.
Each combination represents a unique pair consisting of one boy and one girl. For example, if the boys are labeled as B1, B2, B3, B4, and B5, and the girls are labeled as G1, G2, and G3, the possible pairs could be (B1, G1), (B1, G2), (B1, G3), (B2, G1), (B2, G2), and so on, up to (B5, G3).
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PLEASE HELP!! What is the surface area of the cone?
Answers
Hope this helped
Which property is shown?
5 plus open square brackets open parentheses negative 3 x close parentheses plus
4 close square brackets equals open square brackets 5 plus open parentheses
negative 3 x close parentheses close square brackets plus 4
Commutative Property of Multiplication
Associative Property of Multiplication
Associative Property of Addition
Commutative Property of Addition
Answers
The correct option is; Associative Property of Addition.
What is referred as the Associative Property of Addition?The associative property of addition is a principle that states that when adding three or more numbers, we could really group them in any combination and the sum remains the very same irrespective of how they are grouped.The associative property of addition equation exemplifies that grouping numbers in different ways has no effect on the sum. The brackets which it group the numbers facilitate the process of addition: (a+ b) + c = a + (b + c)For the given question;
The equation formed by the given statement is -
5 + [(-3x) + 4] = [5 + (-3x)] + 4
Observe the stated equation and comparing with the general equation;
The values are arranged in the form of associative addition.
Check the values;
LHS = 5 + [(-3x) + 4] ; simplifying,
5 -3x + 4 = 9 - 3x
RHS = [5 + (-3x)] + 4 ; simplifying,
5 - 3x + 4 = 9 -3x
As, LHS = RHS and addition is being done.
Thus, the given equation shows the associative property of addition.
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A university's freshman class has 3000 students. 21% of those students are majoring
in Engineering. How many students in the freshman class are Engineering majors?
Answers
Answer: 630
Step-by-step explanation:
\(3000 * 21 /100 = 3000 * 0.21 = 630\)
The exterior angle measure of a regular polygon is 23.4º. How many sides does the polygon have?
I
Answers
Answer:
15 sidesStep-by-step explanation:
Note 23.4° seems to be a typo. Replaced with 24°Sum of exterior angles of any polygon is 360°
Each angle measure is 360°/n, where n is the number of sides of the regular polygon
So the number of sides:
n = 360°/24°n = 15What is 30+2|3x2+2|=
Answers
Answer:
x=2/3
Step-by-step explanation:
Answer:40
Step-by-step explanatio 30 + 2 | 3x2 + 2 | =:40
Find the slope of the line y=-3x+3
Answers
Answer:
Step-by-step explanation:
M = -3
y= mx +b
m stands for slope and -3 is in that position so -3 is your slope
Answer:
⇝ Slope = -3Step-by-step explanation:
The question is asking us to find the slope of the line y = -3x + 3.
Note that the equation is written in slope-intercept form:
y = mx + b
Where:
m = slope (coefficient of x)b = y-intercept (constant)For this problem the coefficient of x is -3, and the constant is 3.
Therefore, the slope is -3.
of Semester Exam Review
Set background
Clear frame
Selecting Appropriate Measures of Center and Spread
6. As a basketball player for her school's varsity team, Rylee scored the
following points in her last 8 games: 8 points, 10 points, 10 points,
10 points, 14 points, 21 points, 23 points, 24 points. She wants to be
considered for the Most Valuable Player Award for the team.
What is the best measure of central tendency for the situation?
Answers
Answer:
A ) Near equator
B ) Near the poles
C ) Areas where solar radiations is most direct
D ) Only in the no
If y is inversely proportional to the square root of x and y=−70 when x=49, find y if x=2401.
Answers
The value of y when x= 2401 is -10
How to determine the value of x?An inverse variation is represented as:
\(y = \frac{k}{\sqrt x}\)
Where k is the proportionality constant
When y = -70, x = 49
So, we have:
\(-70 = \frac{k}{\sqrt {49}}\)
Take the square root of 49
\(-70 = \frac{k}{7}\)
Multiply through by 7
k = -490
Substitute k = -490 in \(y = \frac{k}{\sqrt x}\)
\(y = -\frac{490}{\sqrt x}\)
When x =2401, we have
\(y = -\frac{490}{\sqrt {2401}}\)
Evaluate the square root
\(y = -\frac{490}{49}\)
Divide
y = -10
Hence, the value of y when x= 2401 is -10
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d(t) = 16t2 -23t + 18
Answers
Answer:
t = 23/32 + (i sqrt(623))/32 or t = 23/32 - (i sqrt(623))/32
Step-by-step explanation:
Solve for t:
16 t^2 - 23 t + 18 = 0
Divide both sides by 16:
t^2 - (23 t)/16 + 9/8 = 0
Subtract 9/8 from both sides:
t^2 - (23 t)/16 = -9/8
Add 529/1024 to both sides:
t^2 - (23 t)/16 + 529/1024 = -623/1024
Write the left hand side as a square:
(t - 23/32)^2 = -623/1024
Take the square root of both sides:
t - 23/32 = (i sqrt(623))/32 or t - 23/32 = -(i sqrt(623))/32
Add 23/32 to both sides:
t = 23/32 + (i sqrt(623))/32 or t - 23/32 = -(i sqrt(623))/32
Add 23/32 to both sides:
Answer: t = 23/32 + (i sqrt(623))/32 or t = 23/32 - (i sqrt(623))/32
What multiplication expression is equal to 3/4 divided by 2/5
Answers
Answer:
3 * 5
4 2
Step-by-step explanation:
To convert division problems with fraction into multiplication problems use the KCF rule
Keep the 1st Fraction the same
Change the division sign to a multiplication sign
Flip the fraction (reciprocal)
Two possible floor plans for a new bathroom are shown. Is there a value of x for which the perimeters are equal? What is the linear equation?
Answers
Answer:
The third option
Step-by-step explanation:
Since both perimeters are equal, they are equal to each other. You would have to work out the perimeter for each shape and make them equal to each other.
write an equation that you can use to slove for x enter your answer in the box
Answers
The value of angle x is 133 degree
And the equation of line be of the form,
⇒ y - y₁ = 133(x - x₁)
In the given line,
one angle is of 47 degree
And other is x degree
To find the value of x,
Since we know that,
The angle of line is 180 degree.
Therefore,
⇒ x + 47 = 180
⇒ x = 133 degree
Therefore slope of this line be 133 degree
Now let this line is passing through (x₁, y₁)
Hence,
The equation of line be,
⇒ y - y₁ = (slope)(x - x₁)
⇒ y - y₁ = 133(x - x₁)
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