Solve the following absolute value inequality.
|-x+2|≤ −7
What is the positive absolute value for x?

Also, i’m aware that this cannot be solved. But, what do i put as the answer if it cannot be solved with numbers?

Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

Answer:

the image is sideways

Step-by-step explanation:

Answer:

well buddy see you thinking to hard its right there just relax and look closely

Step-by-step explanation:

The volume of the sphere is 16.75 unit³

The volume, V, of a sphere is given by the formula:

The volume of the sphere is 16.75 unit³

Answer: he took 60 grapes to school

Step-by-step explanation:

you just have to think about this. if you have given a friend 15 grapes and you are left with 45. So, for you to have 45 left you must have left home with 60 grapes.

Mathematically, lets represent how many he brought to school with x

15+45=x

X= 60

Answer:

1.25

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

you put all numbers from least to greatest then you get the small nd big number nd subtract them

31.75, 33, 35.5, 38, 39.25

39.25 - 31.75 = 7.5

Answer:

Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?

The car is faster

Find the unit rates

The car is going 30 feet in 1 second(600 divide by 20 = 30)

The motorcycle is gonig 25 feet in 1 second(300 divide by 12 = 25)

Compare the unit rates

30 > 25

Step-by-step explanation:

Answer:

Hakim's car is faster.

Step-by-step explanation:

Hakim's car takes 20 seconds to go 600 feet. Andre's motorcycle takes 24 seconds to go 600 feet.

So for Hakim, the unit rate are 30 feet per second because 600/20 = 30

For Andre, the unit rate is 25 feet per second because 600/24 = 25

Hakim's car goes faster because 30 is greater than 25.

Answer:

\(x=3,\frac{5}{2}\)

General Formulas and Concepts:

Quadratic Formula: \(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)

Standard Form: ax² + bx + c = 0

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

-2x² + 11x = 15

-2x² + 11x - 15 = 0

a = -2, b = 11, c = -15

Step 2: Solve for x

Answer:

5

Step-by-step explanation:

Answer:

The answer would be D = 4 or option 2.

Step-by-step explanation:

9/12 = 3/?

First, you want to simplify 9/12

9/12 = 3/4

This shows you that D = 4

The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0

From the question, we have the following parameters that can be used in our computation:

(-3)0

The above statement is a product expression that multiplies the values of -3 and 0

Also, there is no need to check if there are like terms in the expression or not

This is  because we are multiplying the factors

So, we have

(-3)0 = 0

This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0

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Using the uniform distribution, it is found that there is a 0.25 = 25% probability that the next fracture will occur in the last half mile of the two mile interval.

The uniform distribution has two bounds, a and b.  

The probability of finding a value above x is:

\(P(X > x) = \frac{b - x}{b - a}\)

In this problem, the distribution is uniform over 2 miles, thus \(a = 0, b = 2\).

The probability of a failure on the last half-mile is P(X > 1.5), thus:

\(P(X > 1.5) = \frac{2 - 1.5}{2 - 0} = 0.25\)

0.25 = 25% probability that the next fracture will occur in the last half mile of the two mile interval.

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Answer:

2 1/3 / 1 1/2 = 1.55555556

Step-by-step explanation:

Answer:

1.555555556

Step-by-step explanation:

because its the answer dude

The equation for hyperbola with given foci is \(\frac{(x+3)^{2}}{49}-\frac{(y-6)^{2}}{32}=1\)

What is hyperbola?

In analytical geometry, a hyperbola is a conic section that results from the intersection of a plane with a double right circular cone at an angle that touches both of the cone's halves. The two distinct unbounded curves that result from the intersection of the plane and cone are known as hyperbolas.

The standard equation of a horizontal hyperbola with center (h,k) is

\(\frac{(x-h)^{2}}{a^{2} } -\frac{(y-k)^{2}}{b^{2} }=1\)

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is 2a= 4-(-10)

2a=14

a=7

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is \((\frac{-10+4}{2} , \frac{6+6}{2} )= (-3,6)\)

Now, we need to use the relation a^2+b^2=c^2 in order to find b^2.

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

c= 6-(-3)=9

So, 7^2+b^2=9^2

b^2= 9^2-7^2

b^2= 81-49

b^2= 32

Hence, on substituting the obtained values in the standard equation of hyperbola, we get

\(\frac{(x-(-3))^{2} }{7^{2}}-\frac{(y-6)^{2} }{32} =1\)

\(\frac{(x+3)^{2} }{49}-\frac{(y-6)^{2} }{32} =1\)

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EXPLANATION

The ratios that can form a proportion are:

6/35 and 5/30

The lengths of AB and CD are 12 and 26.5 units

The given parameters are

AB = 2x + 3

BC = 21

CD = 7x - 5

AD = 11x + 10

The points are on line AD

So, we have

AD = AB + BC + CD

This gives

11x + 10 = 2x + 3 + 21 + 7x - 5

Evaluate the like terms

2x = 9

Divide by 2

x  = 4.5

Substitute x  = 4.5 in AB = 2x + 3 and CD = 7x - 5

AB = 2 * 4.5 + 3 = 12

CD = 7 * 4.5 - 5 = 26.5

Hence, the lengths of AB and CD are 12 and 26.5 units

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Answer:

1/2 = 3/6 so if

1/2 + 1/6 = 3/6+1/6 = 4/6

to reduce 4/6, divide top and bottom by same number, in this case, 2.

4/6 = 2/3

Answer:

11

Step-by-step explanation:

we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7

Answer:

Logan bought the stocks at $2,750,000

Step-by-step explanation:

So according to the question $3,437,500 is the amount at which 25% interest was made

This means that the original value(100% value) has been increased to 125%(thus 100+25%)

By using ratio and proportion,

If 125%-$3437500

then 100% ={100%/125%}×$3,437,50

=$2,750,000

The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

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Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

An algebraic expressiοn is a mathematical phrase that cοntains variables, cοnstants, and mathematical οperatiοns. It may alsο include expοnents and/οr rοοts. Algebraic expressiοns are used tο represent quantities and relatiοnships between quantities in mathematical situatiοns, οften in the cοntext οf prοblem-sοlving.

The emplοyee's percent is 100% decreased by the emplοyer's percent.

100%−73%=27%

Based on the information you provided, Rubina Shaw's annual premium for the HMO plan is $11,473. Her employer pays 73 percent of this premium, so Rubina's portion of the premium would be:

27% × $11,473 = 0.27 × $11,473 = $3,097.71

The emplοyee's annual cοntributiοn is the prοduct οf the emplοyee's percent and the tοtal premium.

The emplοyee's mοnthly deductiοn is the emplοyee's annual cοntributiοn divided by the number οf mοnths in a year.

$3,097.71 ÷ 12

= $258.14

Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

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Complete question:

Find the employee's total annual contribution and the employee's monthly deduction. Rubina Shaw, family plan. HMO annual premium is $11,473. Employer pays 73 percent.

Answer:

it could be the number in 2015 is 2,330

Step-by-step explanation:

Just add the number of the students in 2014-2016.

1,030+ 1,300=2,330

The given trigonometric function is:

The given function is graphed below using the Desmos graphing tool

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Note that as x gets larger, y gets smaller, but the product xy remains constant at 192.

In mathematics, a function is a relationship between two sets, called the domain and the range, such that each element of the domain corresponds to exactly one element of the range. A function takes an input value (or values) and produces an output value (or values) according to a specific rule or formula. The input values are the domain of the function, and the output values are the range of the function. Functions can be represented using equations, graphs, tables, or verbal descriptions. They are used to model relationships between variables in various fields of mathematics, science, engineering, economics, and many other areas.

Here,

If x and y vary inversely, this means that their product is a constant. We can use this fact to find the constant of proportionality k as follows:

k = xy

If we know that y is 24 when x is 8, we can substitute these values into the equation above to solve for k:

k = xy

= 8(24)

= 192

Now we can use this value of k to write the inverse variation function:

xy = 192

or

y = 192/x

To sketch a graph of this function for x > 0, we can plot a few points and connect them with a smooth curve. Here are some points we can use:

(x, y)

(1, 192)

(2, 96)

(4, 48)

(8, 24)

(16, 12)

(24, 8)

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$9.86 , Kendra donates to the charity.

Kendra worked 8 hours and 30 minutes last week

She earns $ 11.60 per hour

She will earn money if she works for 30 minutes = $(11.60÷2)

Therefore,

Total amount of money she earns last week = $((11.60×8) + (11.60÷2))

                                                                            = $(92.8+5.80))

                                                                            = $98.6

Kendra donates 1/10th of the total money she earns in a week

Therefore,

Amount she donate last week = total amount she earns last week * 1/10

= $(98.6*1/10)

= $9.86

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Answer: V = 193.25π

Step-by-step explanation: The method to calculate volume of a solid of revolution is given by an integral of the form:

V =  \(\pi\int\limits^a_b {[f(x)]^{2}} \, dx\)

f(x) is the area is the function that rotated forms the solid.

For f(x)=y= \(\frac{5}{36}-x^{2}\) and solid delimited by x = 2 and x = 4:

V = \(\pi\int\limits^4_2 {(\frac{5}{36}-x^{2} )^{2}} \, dx\)

V = \(\pi\int\limits^4_2 {(\frac{25}{1296}-\frac{10x^{2}}{36}+x^{4}) } \, dx\)

V = \(\pi(\frac{25.4}{1296}-\frac{10.4^{3}}{108}+\frac{4^{5}}{5}-\frac{25.2}{1296}+\frac{10.2^{3}}{108}-\frac{2^{5}}{5} )\)

V = \(\pi(\frac{50}{1296}-\frac{560}{1296}+\frac{992}{1296} )\)

V = 193.25π

The volume of a solid formed by y = \(\frac{5}{36} - x^{2}\) and delimited by x = 2 and x = 4

is 193.25π cubic units.

Answer:

Step-by-step explanation:

A complex number in its rectangular form is expressed as x+iy where x is the real part of the complex number and y is the imaginary because it is attached to the imaginary number i.

Given the complex number 4-5i, comparing the complex number with x+iy

4 = x and iy = -5i

Hence x = 4 and y = -5.

Since x is the real part of the complex number x+iy, hence 4 will be the real part of the complex number 4-5i based on comparison.

Answer:

  499.338 feet

Step-by-step explanation:

You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.

The distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...

  \(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)

The distance traveled in 25 seconds is 499.33 feet.

It is required to find the distance traveled in 25 seconds.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

We have to find the distance , we will integrate v(t) from 0 to 25 second.

Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.

Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is

1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.

According to given question we have

Given a velocity function v, the distance s is figured by taking the integral. In this case,

v = 20 + 5 cos(t)

s = 20t + 5 sin(t) from 0 to 25

= s(45)-s(0)

s(0) = 0

so, the distance is

s(25) = 20*25 + 5sin(25)

= 500 -0.661

=499.33 feet.

Therefore, the distance traveled in 25 seconds is 499.33 feet.

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Answer:

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