Answer:
x < -6
Step-by-step explanation:
X/4 < -1.5
Multiply each side by 4
X/4*4 < -1.5*4
x < -6
What are the minimum and maximum values of t for which |t + 3| ≤ 2
Answer:
Max value for t is -1 and minimum value for t is -5
Step-by-step explanation:
Make two inequalities in regards to absolute value and solve both for t:
t+3<=2 and t+3>=-2
t<=-1 and t>=-5
The compound inequality would be -1>=t>=-5
Solving the absolute value inequality, it is found that:
The minimum value is t = -5.The maximum value is t = -1.-----------------
The absolute value measures the distance of a point to the origin.The inequality [tex]|f(x)| \leq a[/tex] represents the set of values of x for which the distance of points f(x) and the origin are at most a. The solution is:[tex]-a \leq f(x) \leq a[/tex]
In this problem, the inequality is:
[tex]|t + 3| \leq 2[/tex]
Thus, the solution is:
[tex]-2 \leq t + 3 \leq 2[/tex]
[tex]-2 \leq t + 3[/tex]
[tex]t + 3 \geq -2[/tex]
[tex]t \geq -5[/tex]
[tex]t + 3 \leq 2[/tex]
[tex]t \leq -1[/tex]
Then:
The minimum value is t = -5.The maximum value is t = -1.A similar problem is given at https://brainly.com/question/24005819
PLEASE HELP ASAP!!
Three-fifths of the days last year were sunny. If there were 365 days in the year, Answer
of them were sunny.
Answer:219
Step-by-step explanation:
4x - 5y = 14
If y = 2, what value of x satisfies the given equation?
A) 6
B) 8
C) 10
D) 24
Answer:
A
Step-by-step explanation:
Given
4x - 5y = 14 ← substitute y = 2 into the equation and solve for x
4x - 5(2) = 14, that is
4x - 10 = 14 ( add 10 to both sides )
4x = 24 ( divide both sides by 4 )
x = 6 → A
Which linear equation represents the data given in the table?
A) y = 6x + 6
B) y = 2x + 6
C) y = 6x − 6
D) y = 2x − 6
Answer:
the equation is C: y=6x-6
Answer:
Step-by-step explanation:
(1,0) (2,6)
(6-0)/(2-1)
6/1= 6
y - 0 = 6(x -1)
y = 6x - 6
answer is c
The equation of a parabola is y=x^2-10x+27. Write the equation in vertex form
Answer:
[tex]\large \boxed{y = (x - 5)^{2} + 2 }[/tex]
Step-by-step explanation:
y = x² - 10x + 27
y = ax² + bx + c
This is the general form of the equation for a parabola.
We must convert it to the vertex form
y = (x - h)² + k, where (h,k) are the coordinates of the vertex.
We can do this by completing the square.
[tex]\begin{array}{rcll}y & = & x^{2} - 10x + 27 & \\y - 27 & = & x^{2} - 10x & \text{Subtracted 27 from each side}\\y - 27&= & x^{2} - 10x + 25 - 25 & \text{Added and subtracted (b/2)}^{2}\\y - 27&= & (x - 5)^{2} - 25 & \text{Wrote the first three terms as the square of a binomial}\\y& = & \mathbf{(x - 5)^{2} + 2} & \text{Added 27 to each side}\\\end{array}\\\text{The vertex form of the parabola is $\large \boxed{\mathbf{y = (x - 5)^{2} + 2 }}$}[/tex]The figure below shows that your parabola has its vertex at (5,2).
what is 4x + 3x if x=2
Answer:
14
Step-by-step explanation:
Step 1: Plug in 2 for x
4(2) + 3(2)
8 + 6
14
Answer: 14
Answer:
14
Step-by-step explanation:
[tex]4(2) + 3(2)[/tex]
[tex]8 + 6[/tex]
[tex]14[/tex]
Simplify the expression.
6m +10 - 10m =
Which expression is equivalent to 8x - 2y + x + x?
4x
6x -2y
8x
10x - 2y
Answer:
Problem 1
6m + 10 - 10m
4m + 10
Answer: 4m + 10
Problem 2
8x - 2y + x + x
8x + 2x - 2y
10x - 2y
Answer: Option D, 10x - 2y
In a small U.S. city, the ratio of people to cars is approximately 1.85 : 1. If 12,100 people live in
the city, to the nearest 100 cars, approximately how many cars are in the city?
Answer:
[tex]6,500\ cars[/tex]
Step-by-step explanation:
Let
x ---> the number of people
y ---> the number of cars
we know that
The ratio of people to cars is approximately 1.85 : 1
so
[tex]\frac{x}{y}=\frac{1.85}{1}[/tex]
[tex]x=1.85y[/tex] -----> equation A
12,100 people live in the city
so
[tex]x=12,100[/tex]
substitute the value of x in the equation A
[tex]12,100=1.85y[/tex]
solve for y
[tex]y=6,540.54\ cars[/tex]
to the nearest 100 car
[tex]y=6,500\ cars[/tex]
Final answer:
To find the number of cars in the city, divide 12,100 by the ratio of people to cars (1.85:1), resulting in approximately 6,540.05 cars. Rounded to the nearest hundred, the city has about 6,500 cars.
Explanation:
The question is about finding the number of cars in a small U.S. city given the ratio of people to cars is approximately 1.85:1 and there are 12,100 people living in the city. To solve this, we divide the total number of people by the given ratio to find the approximate number of cars. Firstly, find the proportion of cars to people by taking the reciprocal of 1.85, which gives us approximately 0.5405. Then, multiply this proportion by the total population to estimate the number of cars.
Calculation:
Number of cars = Total population × Proportion of cars to people
Number of cars = 12,100 × 0.5405 ≈ 6,540.05
Rounded to the nearest hundred, the city has approximately 6,500 cars.
WILL MARK BRAINLIEST
Each of the college students shown below has been chosen to represent their club on campus. One of the students will be selected at random to attend a special dinner with the president of the college.
Enter all fractions in reduced form.
A. Use the picture to complete the following table.
Long Sleeves Short Sleeves Rolled-up Sleeves
Male
Female
B. What is the probability that the student selected will be a female with long sleeves?
C. What is the probability that the student selected will be a male with rolled-up sleeves?
B. Probability of long sleeve female is zero.
C. Probability of rolled-up male is 1/4.
Step-by-step explanation:
A. The table from the picture :
Long Sleeves Short Sleeves Rolled-up Sleeves
Male 3 0 2
Female 0 3 0
B. The probability that the student selected will be a female with long sleeves :
From the table,
It is determined that no female are with long sleeve.
So, the probability of choosing female with long sleeve is 0.
C. The probability that the student selected will be a male with rolled-up sleeves :
From the table,
The number of males with rolled-up sleeves = 2
Total number of students = 8
P(rolled-up male) = 2/8 = 1/4.
The probability of selecting a female with long sleeves is 0, and the probability of selecting a male with rolled-up sleeves is 1/4.
Let's first complete the table...
1. Long Sleeves:
Male: 3Female: 02. Short Sleeves:
Male: 0Female: 33. Rolled-up Sleeves:
Male: 2Female: 0Probability Calculations
Total number of students = 3 (Male, Long Sleeves) + 0 (Female, Long Sleeves) + 0 (Male, Short Sleeves) + 3 (Female, Short Sleeves) + 2 (Male, Rolled-up Sleeves) + 0 (Female, Rolled-up Sleeves) = 8.
Probability of Selecting a Female with Long Sleeves
P(Female with Long Sleeves) = Number of Females with Long Sleeves / Total Students = 0/8 = 0.
Probability of Selecting a Male with Rolled-up Sleeves
P(Male with Rolled-up Sleeves) = Number of Males with Rolled-up Sleeves / Total Students = 2/8 = 1/4.
Therefore, the probability of selecting a female with long sleeves is 0, and the probability of selecting a male with rolled-up sleeves is 1/4.
Complete question: Each of the college students shown below has been chosen to represent their club on campus. One of the students will be selected at random to attend a special dinner with the president of the college.
Enter all fractions in reduced form.
A. Use the picture to complete the following table.
Long Sleeves Short Sleeves Rolled-up Sleeves
Male 3 0 2
Female 0 3 0
B. What is the probability that the student selected will be a female with long sleeves?
C. What is the probability that the student selected will be a male with rolled-up sleeves?
Heather flipped a coin five times, and each time it came up heads. Heather flips the coin one more time. Which is the theoretical probability that it will come up tails?
Answer:
1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
The prior flips have no influence on the outcome of the 6th flip. its still a 50-50 chance to flip tails
Pleaseeee helppppp me
Answer:
Step-by-step explanation:
Good luck
A medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?
1/5
1/10
1/20
1/500
As a percent, the odds of having an allergic reaction would be 2%.
This is because 1 in 50 of a chance, is equal to 1/50, and to make this a percent out of 100, just multiply both parts of the fraction by 2.
None of the choices equal 1/50, so let's just make it a percentage anyway.
1/50 ---> 0.02
0.02 ---> 2%
The answer is 2%, or 1/50 as a fraction.
Solve x - 6 = 3 Question 3 options: x = 3 x = 2 x = 9 x = -3
Answer:
x = 9
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x-6-(3)=0
Step by step solution :
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : x-9 = 0
Add 9 to both sides of the equation :
x=9
brainly pleasse :)
Answer:
x = 9
Step-by-step explanation:
x - 6 = 3
Add 6 to both sides
x - 6 + 6 = 3 + 6
x = 9
I hope this was helpful, please mark as brainliest
What is (3x+2)+(−4x+4)
Answer:
-x + 6
Step-by-step explanation:
(3x + 2) + (-4x + 4)
Distribute + into the bracket (-4x + 4). When you do so, + sign becomes -
3x + 2 - 4x + 4
Rearrange the expression
3x - 4x + 2 + 4
-x + 6
a 3 dimensional figure has a square base and 4 lateral faces that meet at a point. Explain the difference between the cross sections when a slice is made perpendicular to the base through the vertex , and when slice is made perpendicular to the base and not through the vertex
Answer:
a slice is made perpendicular to the base through the vertex: triangle
slice is made perpendicular to the base and not through the vertex: trapezoid
Step-by-step explanation:
a slice is made perpendicular to the base through the vertex: triangle
slice is made perpendicular to the base and not through the vertex: trapezoid
Answer:
Sample response/explanation: The figure is a square pyramid. A slice made perpendicular to the base and through the vertex creates a cross section with the shape of a triangle. A slice made perpendicular to the base and not through the vertex is a trapezoid.
Step-by-step explanation:
Edge 2020 happy new year
HELP PLEASE!!I can't answer
Answer: 15%
Step-by-step explanation:
the percent is equal to (large double Cheeseburgers/total burgers) * 100
finding values
num of large double cheeseburgers in the table = 60
total burgers by adding all the values up = 68+77+45+98+52+60 = 400
calculating percent
so the percent is (60 / 400) * 100 = 15%
Each notebook contains 60 sheets
try using photo math
I hope it helps
What is the volume of a cone with a Radius of 2 and height of 9
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r = 2\\ h = 9 \end{cases}\implies V=\cfrac{\pi (2)^2(9)}{3}\implies V=12\pi \implies V\approx 37.7[/tex]
An oak tree is 12 feet tall and a bird is standing on the ground 16 feet from the tree. If the bird flies directly to the top of the tree, how far will it fly?
Answer:
20 ft.
Step-by-step explanation:
There are two different (yet similar) ways to solve this problem:
a. Pythagorean theorem
b. Pythagorean triplet recognition
With option "a", you set it up:
12² + 16² = x²
144 + 256 = x²
400 = x²
x = 20
But, the arguably "easier" way to find out the distance is to use the Pythagorean's triplet recognition.
We know that the most common right triangle is the 3-4-5 right triangle.
If you take the three side lengths, and multiple them by the same thing, those are the sides to another right triangle.
ex. 3-4-5 * 5
15-20-25 are the sides of another right triangle!
This also means that if you have a triangle that has the sides 15, 20, and 25, you immediately know it's a right triangle.
When we look at 12 and 16, we know they are the legs of the triangle.
We also know that if we multiply 4 times 3 and 4, it will equal 12 and 16.
So what's 5 times 4? 20!
Final answer:
To find how far the bird will fly to the top of the tree, we use the Pythagorean Theorem. By squaring the height of the tree and the distance from the bird to the tree, we find that the hypotenuse, or the distance the bird will fly, is 20 feet.
Explanation:
The question asks about the distance a bird will fly from the ground to the top of a tree, which involves the application of the Pythagorean Theorem to solve for the hypotenuse of a right triangle. The tree's height (12 feet) represents one leg of the right triangle, and the distance from the bird to the tree (16 feet) represents the other leg. To find the distance the bird flies (the hypotenuse), we use the equation:
a² + b² = c²
Where ‘a’ and ‘b’ are the lengths of the legs, and ‘c’ is the length of the hypotenuse. Now we can calculate it:
12² + 16² = c²
144 + 256 = c²
400 = c²
[tex]\sqrt{400}[/tex] = c
20 feet = c
Therefore, the bird will fly 20 feet to reach the top of the oak tree.
Rewrite the equation B - 7,536 = 2t as a function of t.
Answer:
B = 2t + 7,536
Step-by-step explanation:
B - 7,536 = 2t
Add 7,536 to both sides.
B = 2t + 7,536
A city council member wanted to know how his constituents felt about a planned rezoning. He randomly selected 150 names from the city phone directory and conducted a phone survey. Identify the population and sample for this situation. A) The population is residents of the city; the sample is the registered voters in the city. B) The population is everyone listed in the city phone directory; the sample is registered voters in the city C) The population is registered voters in the city; the sample is everyone listed in the city phone directory. D) The population is everyone listed in the city phone directory; the sample is the 150 people selected.
Answer:
it is D
Step-by-step explanation: it just is i did it on usa test prep
solve the inequality
2r^2-13x+15<0
Answer:
x > 2r^2/13 + 15/13
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x > 2r^2/13 + 15/13
Answer: [tex]\bold{\dfrac{3}{2}<x<5\quad \rightarrow \quad \text{Interval Notation}: \bigg(\dfrac{3}{2},5\bigg)}[/tex]
Step-by-step explanation:
First, factor the inequality and solve for x to find the zeros.
Then, choose test points on the outside of those values and between them.
Plug them in to determine which one(s) yield a negative (< 0).
2x² - 13x + 15 < 0
(2x - 3)(x - 5) < 0
2x - 3 = 0 and x - 5 = 0
x = 3/2 and x = 5
I choose the left test point of 0 (2(0) - 3) × (0 - 5) > 0 (+)
I choose the between test point of 2 (2(2) - 3) × (2 - 5) < 0 (-)
I choose the right test point of 6 (2(6) - 3) × (6 - 5) > 0 (+)
Illustration of Graph:
+ --- +
←----|----------o----------------|---------------o--------------|----→
0 3/2 2 5 6
Since the "between" test point is the only one that yielded a negative, then the solution is the values between 3/2 and 5.
1) 8w - s use w = 8 and s = 9
What is the answer for this
Answer: 55
Step-by-step explanation:
8w - s , give w= 8 and s = 9
Substitute w and s in the equation with the values
8 (8) - 9
8 x 8 - 9
Apply BODMAS
64 - 9= 55
I hope this helps.
True or False: a = 6 is a solution to the inequalty a > 6.
Answer:
False
Step-by-step explanation:
If you do a = 6, then you get 6 > 6 which is not true. 6 isn't greater than itself.
Answer:
False
Step-by-step explanation:
Your inequality shows that a is greater than 6, thus meaning can not equal 6.
A can of mixed nuts has 5 peanuts for every 2 cashews. There are 175 peanuts in the can .How many cashews are there ?
Step-by-step explanation:
ratio
peanuts to cashews is 5:2
so
5:2
175:?
175/5 is 35
so both side times by 35
35 X 2 is 70 cashews
Answer:
There would be 70 cashews if there are 175 peanuts.
Please help. I'll mark you as brainliest if answered correctly. :)
Two complex numbers are represented by c + di and e-fi, where c, d, e, and f are positive real numbers. In what two quadrants may the product of these complex numbers lie? Explain your answer in complete sentences.
Answer:
What are the quadrants? if the quadrants are c,d,e, and f then it would be c and d because both of the numbers lie on a y complex.
Step-by-step explanation:
⭐ Answered by Kash ʕ •㉨• ʔ⭐
⭐ Brainliest would be appreciated!⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
Linear equation 1+2x=5x+3
Answer:x=-2/3
Step-by-step explanation:
The model of a new apartment building is shown. The
architect plans for the building to be 144 times the
dimensions of the model. What will be the volume and
surface area of the new building when it is completed?
To find the dimensions of the actual floor of the new building, multiply the dimensions of the model by the scale factor. The volume of the new building is found by multiplying the dimensions of the actual floor by the height. The surface area is calculated by summing the areas of all six faces of the rectangular prism.
Explanation:To find the dimensions of the actual floor, we need to multiply the dimensions of the model by the scale factor. Let's assume the dimensions of the model floor are length = 10 meters and width = 5 meters. Since the architect plans for the building to be 144 times the dimensions of the model, the length of the actual floor would be 10 x 144 = 1440 meters and the width would be 5 x 144 = 720 meters.
The volume of a rectangular prism (the building) can be calculated by multiplying its length, width, and height. Assuming the height is 3 meters, the volume of the new building would be 1440 x 720 x 3 = 2,073,600 cubic meters.
The surface area of the new building can be calculated by summing the areas of all six faces of the rectangular prism. The formula for surface area is 2*(length x width + width x height + height x length). Using the dimensions from before, the surface area would be 2*(1440 x 720 + 720 x 3 + 3 x 1440) = 2,394,240 square meters.
50% shaded? Grid
67%
33%
32%
To find the percentage shaded on the grid, count the number of shaded squares and divide it by the total number of squares.
Explanation:To find the percentage shaded on the grid, we need to count the number of shaded squares and divide it by the total number of squares. Based on the given information, we have:
67% shaded33% shaded32% shadedSince the question asks us to find the percentage shaded, the correct answer would depend on the specific grid or diagram being referred to. Without additional context or information, it is not possible to give a single definitive answer.
For which value of x is the row in the table of values incorrect
Answer:
x = 2 is incorrect
Step-by-step explanation:
The answer should be 3 instead of 4