2+x-7≤0
(2-7=-5)
x-5≤0
+5 +5
x≤5
---
hope it helps
correct answers only please!!
Answer:
7
Step-by-step explanation:
The distance between points A and B is 7.
Have a great day! :)
and can I please have brainliest?
Last year, scientists claimed there were 10,000 different species of ants around the world. Since then, the number of different species have decreased by 5.1%. How many different species of ants are estimated currently?
help what's the correct answer and how did u get it
Answer:
9490.
Step-by-step explanation:
First you take 5.1% of 10,000 which is 510 and then you do 10,000-510= 9490.
Hope this helps!
This problem refers to a right triangle ABC with C= 90°. Begin each problem by drawing a picture of the triangle with both the given and asked for information labeled appropriately. Answer to the nearest hundredth of a foot. If B=37.56 and a =49.94ft then b
The side b is approximately 80.02 feet in length. In a right triangle ABC with angle C equal to 90°, if angle B is 37.56° and side a is 49.94 feet, we can solve for side b using the trigonometric function sine.
First, we can label the triangle as follows:
Side a is opposite angle A,
Side b is opposite angle B,
Side c is the hypotenuse.
Let's label the triangle with the given and asked for information. Angle C is the right angle, angle B is 37.56°, side a is 49.94 feet, and side b is the side we are trying to find.
Using the sine function, we have:
sin(B) = opposite/hypotenuse
sin(37.56°) = a/b
Now we can substitute the known values:
sin(37.56°) = 49.94/b
To solve for b, we rearrange the equation:
b = 49.94 / sin(37.56°)
Using a calculator, we find:
b ≈ 80.02 feet.
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Lincoln is wrapping a rectangular shaped present. The length of the present is 4 inches, the width is 8 inches and the height is 15 inches. How much wrapping paper will Lincoln need?
Step-by-step explanation:
To find the area of the wrapping paper required,
we must find the Total Surface Area of the box
As we know, the TSA of a cuboid= 2 (lh+bh+lb)
Here,
Total Surface Area of the cuboid=
\(2(4 \times 8 + 8 \times 15 + 15 \times 4)\)
\( = 2(32 + 120 + 60)\)
\( = 2(212)\)
\( = 414 \: inches^2\)
4(x−3)−r+2x=5(3x−7)−9x
Answer:
\(r = - 5(3x - 7) + 11x + 4(x - 3)\)
Step-by-step explanation:
\(1. \: - r + 2x = 5(3x - 7) - 9x - 4(x - 3) \\ 2. \: 2x - r = 5(3x - 7) - 9x - 4(x - 3) \\ 3. \: - r = 5(3x - 7) - 9x - 4(x - 3) - 2x \\ 4. \: - r = 5(3x - 7) - 11x - 4(x - 3) \\ 5. \: r = - 5(3x - 7) + 11x + 4(x - 3)\)
3(−5.8 + w) = 22.62
w = −1.3
w = 1.3
w = 5.6
w = 13.34
hurry pls
a laptop has listed a price of $807.99 before tax if the sales tax rate is 8.75% find the total cost of the laptop with the sales tax include round your answer to the nearest cent as necessary
Answer:
Step-by-step explanation:
70.699125
Identify the graph of p(x) = 6√x.
Determine when the function is positive, negative, increasing, or decreasing. Then describe the end behavior of the function.
The required graph of the function is graph 3.
How to make the graph of function?You must select x-values and insert them into the equation before you can graph a function. A y-value will be produced once those values are entered into the equation. Your coordinates for a single point are your x- and y-values.
According to question:To check the graph we will put the values of x and identify the graph from the given option.
So, we have \(p(x) = 6\sqrt[3]{x}\)
at x = 1
\(p(x) = 6\sqrt[3]{1}\)
\(p(x) = 6\)
Now, we can see that i graph 1, 2 and 4. there is no value which gives p(x) = 6 for x = 1.
and
In graph 3, at x = 1, there is a a of p(x) = 6.
So.the graph of the function is graph 3.
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Question 4 (2 points)
A pizza restaurant offers thin crust or deep dish pizzas. This weekend, they have a special offer that includes 1 meat topping of
either pepperoni or sausage, and 2 vegetable toppings chosen from onions, black olives, and peppers. The different pizzas are
listed in the table shown.
Answer:
25%
Step-by-step explanation:
Identify the parts of the expression and write a word expression for the numerical or algebraic expression:
b + 12r
Answer:
Parts of the expression:
b: a variable representing a quantity that can vary or change.
12: a constant representing a fixed value.
r: a variable representing a quantity that can vary or change.
Word expression:
"Add twelve times the quantity of r to b."
Step-by-step explanation:
7-2×8+1 evaluate each of the following
Answer:
-8
Step-by-step explanation:
u just do the 2x8 first
Hi! So in equations similar to this, you will need to use PEMDAS.
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Now that you know this, reevaluate your equation.
7-2x8+1
Firstly, you must multiply -2 and 8. Leaving you with -16.
7-16+1
Next, subtract 16 from 7.
-9 + 1
Finally, add -9 and 1.
-8
Your final answer is -8.
Let f ( x ) = 3 x + 5 and g ( x ) = 3 x 2 + 3 x . After simplifying, ( f ∘ g ) ( x ) =
Answer
Explanation
Given:
\(f(x)=3x+5\)\(g(x)=3x^2+3x\)To determine (f º g)(x), we plug in the value of g(x) into f(x) as shown below:
\(\begin{gathered} (f\circ g)(x)=f(g(x)) \\ =f(3x^2+3x) \\ =3(3x^2+3x)+5 \\ Simplify \\ (f\circ g)(x)=9x^2+9x+5 \end{gathered}\)Therefore, the answer is:
\((f\circ g)(x)=9x^{2}+9x+5\)Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with μ = 151.5 ft and σ = 97.7 ft. You intend to measure a random sample of n = 226 trees.
What is the mean of the distribution of sample means?
μ¯x =
What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)?
σ¯x =
Report your answers rounded to 4 decimal places.
The mean of the random samples is the same as the mean of X, µ = 151.5.
The standard error is the standard deviation of X divided by the square root of the sample size, σ = 97.7/√226 ≈ 6.6320.
The sample mean is equal to the X mean, µ = 151.5.
The standard error is X's standard deviation divided by the sample size's square root, σ = 97.7 / √226 ≈ 6.6320.
What is the formula for the probability distribution?Probability distribution function
F (x) = P (X ≤ x) can be written. If there is also a semi-closed interval given by (a, b], the probability distribution function is given by the equation P (a ≤ b) = F (b) -F (a). Always between 0 and 1.
What is the probability distribution and its type?There are two types of probability distributions used for different purposes and different types of data generation processes.
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plz answer this i will marku pleeeeeeeeeezz
Answer:
x= 105 also because it's a z angle
y= 180-105
=75
x=z which is 105, because they are alternative angles.
The given angle of 105 and angle z are consecutive interior angles and need to equal 180 degrees.
Z = 180-105 = 75 degrees
Angle z and angle c are vertical angles and are identical so angle x also equals 75 degrees
Angle y and 105 are supplementary angles and when added equal 180
Angle y is 180-105 = 75
X, y and z are all 75 degrees
WILL GIVE BRANLIEST.
Which of the following statements are true?
Select 4 correct answers
1. All of the coordinate pairs in Quadrant 1 are positive.
2. All of the coordinate pairs in Quadrant 3 are negative.
3 All of the coordinate pairs in Quadrant 2 are positive.
4 Everything to the left of zero on the x axis is negative, everything below zero on the y axis is negative.
5The x axis is positive in quadrants 1 & 3
6 The y axis is negative in Quadrants 3 & Quadrant 4.
Answer:
1. True
2. True
3. False
4. True
5. False
6. True
7. Jesus.
A rectangle has one side equal to (2x+4) cm and a perimeter of (6x+4) cm. What is the area of the rectangle in terms of x?
The area of the rectangle in terms of x is 2x² - 8
A rectangle is a quadrilateral with four right angles in the Euclidean plane.
A region's size on a flat or curved surface is expressed in terms of area, a unit of measurement. A surface region or plane area is the area of an open surface or the boundary of a three-dimensional object, whereas a plane region or area refers to the area of a form or planar lamina.A perimeter is a closed path that surrounds, encircles, or defines a length in one dimension or a shape in two dimensions.Given one side of the rectangle is 2x+4 and the perimeter is 6x+4
Let the other side be y.
We know that:
perimeter = 2 × (sum of two sides)
or, 6x + 4 = 2 (2x+4+y)
or,6x + 4 = 4x + 8 + 2y
or, 2x - 4 = 2 y
or, y = x - 2
Now area of the rectangle = product of sides = (x - 2)(2x+4)
Area = 2x² - 4x + 4x - 8
or, Area = 2x² - 8
Hence the area of the rectangle in terms of x is 2x² - 8
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Find the value of X
A.6
B. 4
C. 16
D. 10
Answer:
x=4
Step-by-step explanation:
In triangle MLK
it is a equilateral triangle
Hence
ML=LK=MK=5
Now come to triangle MKJ
It is a isosceles triangle
Hence
MJ=Mk
MK=5
Hence
What are the coordinates of the image of (- 4, 5) under the translation (x,y) (x-3,y+5)
(-4-3) (5+5) = -7,10
Factorize:
+1/3+2
x² +
+2 +6x +
a (2 − ²1 ) ( 2 + 6)
a.
-
X
6
I
1
b. (2 + ²/² ) ( 2 + ² + + 6)
x
X
1
= (x + ²) (² + + 7 +
C.
x
2
8)
6)
1
a (x + 1) ² ( x + = + 0)
x² + 2 + 6x: The quadratic expression can be factorized as (x + 2)(x + 3).
How to solveThe factorization of the given expressions is as follows:
+1/3 + 2: This is a simple addition and cannot be factorized.
x² + 2 + 6x: The quadratic expression can be factorized as (x + 2)(x + 3).
a(2 − ¹)(2 + 6)/(a - x/6)(x - 1): This expression cannot be factorized further due to the presence of variables in the denominator.
(2 + √2)(2 + √6)/x: This expression cannot be factorized further due to the presence of variables in the denominator.
(x + 1)² (x + 6): This expression is already fully factorized.
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The complete question
a) Factorize the expression: x² + 6x + 8
b) Factorize the expression: x² - 1
c) Factorize the equation: x² + 2x - 3 = 0
4. Driving on the highway, you can safely drive 65 miles per hour. How far can you drive in ‘h’ hours? What is the domain of the function which defines this situation?A) 65B) the number of hours you driveC) the distance you driveD)the amount of gas you use
Answer:
\(\text{ The number of hours you drive.}\)Step-by-step explanation:
For distance, we can apply the following equation:
\(\begin{gathered} d=s*h \\ where, \\ s=\text{ speed} \\ h=\text{ hours} \end{gathered}\)Since we know that we can safely drive 65 miles per hour, the domain will be defined by the number of hours you drive:
\(d=65h\)Which postulate proves the twotriangles are congruent?A. HLB. AASC. SASD. none
If you look at the two triangles, you will see:
• they share a same side
,• two of the angles are congruent
That is:
1 side
2 angles
The postules that proves 1 side and 2 angles is:
A-A-S [angle-angle-side]
So,
Correct Answer: B
Answer these questions about the steps of simplifying this rational expression:
Part A What is the GCF of the terms in the numerator and denominator? Rewrite the expression by factoring out any common factors.
Part B Write the quadratic expressions in the numerator and the denominator in factored form.
Part C Cancel the common factor of the numerator and the denominator to write the expression in simplified form.
Answer:
x²
Step-by-step explanation:
4x²-14x+6
x²-7x²+12x
=2×2×x×x-2×7×x+2×3
x×x×x-7×x×x+2×2×3
= -2+2
x×x
the 2s cancle each other
= x²
Choose the correct elements in the set for the following:
{y | y is an integer and y >/= -3}
{3, 4, 5, 6, . . .}
{−2, −1, 0, 2, . . .}
{−1, 0, 1, 2, . . }
{−3, −2, −1, 0, . . .}
****PLEASE explain your answer****
Answer:
D
Step-by-step explanation:
Y => - 3 that is {−3, −2, −1, 0, . . .}
Help Me On This!!
Asap!!
Answer:
See below ~
Step-by-step explanation:
6-sided dieThree appears to be the center.Two appears to occur frequently.Mean = 4 + 1 + 2 + 3 + 6 + 2 + 5 / 7 = 23/7 = 3.29Median (1, 2, 2, 3, 4, 5, 6) = 3Mode = 2Recall the linear expression for Cecil’s weight in part D. Before plugging values into it, could you have simplified the expression? If yes, explain how.
Answer:
Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.
Step-by-step explanation:
Answer:
Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.
Step-by-step explanation:
it's the answer from edmuentum. do not copy
cos 2x= ___. Check all that apply.
A. sin² x - cos²x
B. 1-2 cos²x
C. 1-2 sin² x
D. 2 cos²x - 1
Answer:
C and D
Step-by-step explanation:
\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)
One week, the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1,240. The next
week, they sold 3 trumpets, 1 clarinet, and 4 violins for $1,027. The following week, they sold
5 7 trumpets, 7 clarinets, and 2 violins for $2,091. Find the cost of a trumpet, clarinet, and
violin
g (x)=√-3x+6
Look at photo please
Answer:
\((-\infty,2)\)
Step-by-step explanation:
Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).
A polynomial function g(x) has a positive leading coefficient. Certain values of g(x) are given in the following table. x –4 –1 0 1 5 8 12 g(x) 0 3 1 2 0 –3 0 If every x-intercept of g(x) is shown in the table and each has a multiplicity of one, what is the end behavior of g(x)?
Using the Factor Theorem and limits, the end behavior of g(x) is that the function decreases to the left and increases to the right.
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:
\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)
In which a is the leading coefficient.
Considering the table, the roots are given as follows:
\(x_1 = -4, x_2 = 5, x_3 = 12\)
Hence the function is:
f(x) = a(x + 4)(x - 5)(x - 12).
f(x) = a(x² - x - 20)(x - 12)
f(x) = a(x³ - 13x² - 32x + 240).
When x = 0, y = 1, hence the leading coefficient is found as follows:
240a = 1
a = 0.004167
Then:
f(x) = 0.004167(x³ - 13x² - 32x + 240).
The end behavior is given by the limits of f(x) as x goes to infinity, hence:
\(\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 0.004167 x^3 = -\infty\).\(\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} 0.004167 x^3 = \infty\).Hence the end behavior is that the function decreases to the left and increases to the right.
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Please help asap!! These line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night. Show your work for credit!
What are the Medians?
The median number of hours slept by boys the previous night is 6.5 hours, while the median number of hours slept by girls the previous night is 7 hours.
The given line plots display the results of a survey of 10 boys and 10 girls regarding the number of hours they slept the previous night. To find the median, follow these steps:Put the observations in ascending order.Divide the data into two equal parts.
To locate the median of the data, find the value that is at the center of the data when ordered.To calculate the medians of the given line plots, we must first arrange the observations in ascending order and divide them into two equal parts.
We have 10 boys and 10 girls in total, so we will have 20 observations for each line plot: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10When arranged in ascending order,
the observations are as follows: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10 Now,
we must determine the medians for each data set. Since each data set has an even number of observations, the median is the average of the two middle values.
The medians for each data set are as follows: Boys’ line plot: (6 + 7) / 2 = 6.5Girls’ line plot: (7 + 7) / 2 = 7
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