Answer:
No solution
Step-by-step explanation:
The absolute value function outputs non-negative values.
Answer: No solutions
This is because absolute value is never negative. It represents distance, and negative distance does not make sense.
The smallest possible output of |x+5| is zero.
What is the area of the polygon below?
A. 147 square units
B. 111 square units
C. 120 square units
D. 156 square units
Answer:
A. 147
Step-by-step explanation:
Divide the polygon into rectangles.
You will have 2 rectangles:
1) 3 x 10
2) 9 x 13
Now you just need to find the area of this 2 rectangles and add them up.
Use synthetic division to find the quotient and remainder when -x^4+2 x^3+12 x^2-16 is divided by x+2 by completing the parts below.
Using synthetic division we get, the remainder is 24
and the quotient is [tex]-x^{3} +10x-20-\frac{24}{x+2}[/tex]
What is synthetic division?
Particularly when we need to divide the polynomial by a linear factor, the Synthetic division provides a faster method of doing so. Instead of dividing factors, it is typically employed to determine the polynomial's zeroes or roots.
Here, in the question we have [tex]\frac{-x^{4} +2x^{3}+12x^{2} -16 }{x+2}[/tex]
First we find x from the divisor,
x+2=0
x=-2
Next, we arrange it in the division form with only the coefficients of the dividend terms.
[tex]-2 | -1 \space\ \space\ 2 \space\ \space\ 12 \space\ \space\ 0 \space\ \space\ -16\\[/tex]
[tex]2 \space\ -2 \space\ -20 \space\ 40[/tex]
----------------------------------
[tex]-1 \space\ \space\ 0 \space\ \space\ 10 \space\ \space\ -20 \space\ \space\ 24[/tex]
Therefore, we get the remainder as 24
And the quotient as [tex]-x^{3} +10x-20-\frac{24}{x+2}[/tex].
To learn more about synthetic division, visit the link below:
https://brainly.com/question/28824872
#SPJ4
Fill the missing fraction.
Z - 1 1/2 = 1 1/2
Answer:
Z=3
Step-by-step explanation:
1 1/2+1 1/2= 2+1=3
Solve the following
(d). m(x)=xcos(-x)
By solving the following trigonometric function of m(x)= x cos(-x) we get m(x) = cos(x).
What is trigonometry ?
Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles. The ratios used to study this relationship are called trigonometric ratios, namely, sine, cosine, tangent, cotangent, secant, cosecant.Given that;
m(x) = x cos(-x)
m(x) = x cos (x) [ we know that cos(-x) = cos(x) ]
m(x)/x = x cos(x)/x [divide both sides by x]
m = cos(x)
Therefore, m(x)=x cos(-x) ⇒cos(x)
To learn more about the trigonometry check the given link
brainly.com/question/13729598
#SPJ4
if p(e)=0.47 find the odds in favor of e
0.53.The elements left over after the given set's components have been eliminated from the universal set are the complement of the set.
How do you determine the likelihood of a compliment?A pair of occurrences that are incompatible with one another are complementary to one another. For instance, the complement of a coin flip is tails when heads is the desired result. The Complement Rule asserts that the total of the probability of an event and its complement must equal 1, or for the event A, P(A) + P(A') = 1.The elements left over after the given set's components have been eliminated from the universal set are the complement of the set. A set's complement is denoted by the letters Ac or just A'. A' = - A is the formula for a complement in this instance.Explanation:
P(event E)=0.47
Consequently, P(not E)=1P(E) [P(E)+P(not E)=1] =10.47 =0.53
To learn more about Probability refer to:
https://brainly.com/question/13604758
#SPJ1
A base of a right solid, which is 3 centimeters high, is shown in the picture below. Find
the volume of the right solid. All dimensions are in centimeters.
4
5
Answer:
5 i think
Step-by-step explanation:
A person jogs 4 miles in 1/5 hour what’s the persons speed in miles per hour
Answer:
Below
Step-by-step explanation:
WOW! THIS is not 'jogging' :
4 miles / 1/5 hr = 20 m/hr
Equals how many CC? Please I need help
1. 177.441177
2. 354.882354
3. 118.294118
4. 473.176472
5. 236.588236
The production costs, P, for a band to have a concert can be modeled by the equation P=850 + 5x. where X is the number of concert tickets sold. The band earns $50 for each ticket sold. The band's goal is for the amount earned on ticket sales minus production costs to equal $5,000 per concert. How many tickets does the band have to sell for each concert to meet the goal?
The band have to sell 76 tickets for each concert to meet the goal
How many tickets does the band have to sell for each concert to meet the goal? From the question, we have the following parameters that can be used in our computation:
P = 850 + 5x
Also, we have
Bonus = $50
This means that
Cost = 850 + 5x + 50x
So, we have
Cost= 850 + 55x
When they earn $5000, we have
850 + 55x = 5000
Evaluate the like terms
55x = 4150
Divide
x = 76
Hence, the number of tickets is 76
Read more about linear equation at
https://brainly.com/question/4074386
#SPJ1
What is the sign of {-z}/{-y} when z>0 and y>0 ?
Choose 1 answer:
A Positive
(B) Negative
Zero
(A) Positive
When z and y are both positive, the expression{ [tex]\frac{-z}{-y}[/tex] }is equal to [tex]\frac{-z}{-y}[/tex]. Since both z and y are positive, -z is negative and -y is negative, so the expression [tex]\frac{-z}{-y}[/tex] is equal to the positive number [tex]\frac{z}{\\y}[/tex].
Therefore, the sign of {-z}/{-y} when z>0 and y>0 is positive.
So the correct answer is:
(A) Positive
What is sign?
In mathematics, a sign is a symbol that is used to represent the relative size or value of a number or expression. The most common signs used in mathematics are the plus (+) and minus (-) signs, which are used to represent positive and negative numbers, respectively.
For example, the number 5 is a positive number, and it is represented using the plus sign. On the other hand, the number -5 is a negative number, and it is represented using the minus sign.
In addition to the plus and minus signs, there are also other signs used in mathematics, such as the equal sign (=), which is used to indicate that two quantities are equal, and the inequality signs (>, <, ≥, ≤), which are used to indicate that one quantity is greater than or less than another.
Overall, signs play a vital role in mathematics as they help to indicate the size and value of numbers and expressions, and they are essential for performing various mathematical operations and solving mathematical problems.
To learn more about positive expression follow link : https://brainly.com/question/14504072
#SPJ1
Please help, math modeling with distribution and statistics
The probability of having fewer than three television sets in the apartment is 0.7
How to find the probability of having fewer than three television setsProbability is solved by finding the ratio of required outcome to the total sample
In the given problem the total sample space is the sum of the frequencies which
sum of the frequencies
= 1 + 6 + 14 + 7 + 2
= 30
The required outcome is the number of people that have less than three tv sets in their apartment, In this case 3 is not inclusive from 2 to o is added
= 1 + 6 + 14
= 21
The probability P(X < 3) = 0.7
= 21 / 30
Learn more about probability at:
https://brainly.com/question/24756209
#SPJ1
If there are 20 voters and 5 candidates , how many total points would there be in a Borda count
Answer:
25
Step-by-step explanation:
The chalk circle around a pitcher's mound has a diameter of 18 ft.
What is the area of the pitcher's circle?
Answer:
Exact area = 81π ft²
Approximate area = 254 ft²
Step-by-step explanation:
A = πr²
A = π × (9 ft)²
A = 81π ft²
A = 81(3.14) ft²
A = 254 ft²
[tex] \Large{\boxed{\sf A = 81 \pi \ ft^2 \approx 254.5 \ ft^2 \ (1 \ d.p.) }} [/tex]
[tex] \\ [/tex]
Explanation:The area of a circle is given by the following formula:
[tex] \Large{\sf A = \pi \times r^2 } [/tex]
Where:
A is the area of the circle.r is its radius.[tex] \\ [/tex]
We know that the diameter of a circle is twice its radius. Therefore, we can find the value of the circle's radius by dividing its diameter by 2.
[tex] \sf Diameter =2 \times radius \Longleftrightarrow radius = \dfrac{Diameter}{2} \\ \\ \\ \star \: \sf r = \dfrac{18 \ ft}{2} = \boxed{\sf 9 \ ft} [/tex]
[tex] \\ [/tex]
Now, substitute the value of the radius into the formula:
[tex] \sf A = \pi \times (9 \ ft)^2 = \boxed{\boxed{\sf 81 \pi \ \ ft^2 \approx 254.5 \ ft^2 \ (1 \ d.p.) }} [/tex]
[tex] \\ [/tex]
[tex] \hrulefill [/tex]
[tex] \\ [/tex]
▪️Learn more about the area of a circle here:
↣https://brainly.com/question/27912608
What is slope-intercept form?
O not this one
O a² +6² = = C
O Ax+By = C
O y = mx + b
Answer:
O y = mx + b
Step-by-step explanation:
y = y coordinate
m = slope
x = x coordinate
b = y intercept
Rectangle P Q R S has P Q=3 and Q R=4. Points T and V are on side P S such that P T=U S=1
Determine the measure of angle T Q U in degrees and rounded to 1 decimal place
The measure of angle TQU is 41.1°
What is angle of measure?
The measure of the angle is formed by the two lines or arms having a same vertex.
Solution:
We know that,
PQ² + PT² = QT² -------- By Pythagoras theorem
∴QT = √10
∵ PT + TU + US = 4
∴ TU = 4 - PT - US
TU = 4 - 1 - 1
∴TU = 2
Now, using Pythagoras theorem in triangle PQU
PQ² + PU² = QU²
∴ QU =√ 3² + 3² (∵PU = PT + TU = 1 + 2)
∴ QU = 3
Now using Heron's formula in triangle TQU
Semi-perimeter = (2 + √10 + 3)/2
= 4.08
Area of the triangle = [tex]\sqrt{S(S-TQ)((S-TU)(S-QU)}[/tex]
= [tex]\sqrt{4.08(0.92)(2.08)(1.08)}[/tex]
= 2.903 unit²
Now, we know that
Area of a scalene triangle = ab/2 × sin c
∴ 2.903 = (√10×3/)2 × sin T
∴ sin T = 2.903×2/3√10
sin T = 0.61
∴ ∠T = [tex]sin^{-1}[/tex](0.61)
∴∠T = 93.9°
Using sum of interior angles of a triangle = 180 i.e. (a + b + c =180°)
∠U + ∠T + ∠Q = 180°
∴ ∠Q = 180 - 93.9 - 45
∴∠Q = 41.1°
To learn more about measure of angle of a triangle click on the link below:
https://brainly.com/question/25716982
#SPJ4
The measure of angle TQU is 41.1°
What is angle of measure?
The measure of the angle is formed by the two lines or arms having a same vertex.
We know that,
PQ² + PT² = QT² -------- By Pythagoras theorem
∴QT = √10
∵ PT + TU + US = 4
∴ TU = 4 - PT - US
TU = 4 - 1 - 1
∴TU = 2
Now, using Pythagoras theorem in triangle PQU
PQ² + PU² = QU²
∴ QU =√ 3² + 3² (∵PU = PT + TU = 1 + 2)
∴ QU = 3
Now using Heron's formula in triangle TQU
Semi-perimeter = (2 + √10 + 3)/2
= 4.08
Area of the triangle = 2.903 unit²
Now, we know that
Area of a scalene triangle = ab/2 × sin c
∴ 2.903 = (√10×3/)2 × sin T
∴ sin T = 2.903×2/3√10
sin T = 0.61
∴ ∠T = (0.61)
∴∠T = 93.9°
Using sum of interior angles of a triangle = 180 i.e. (a + b + c =180°)
∠U + ∠T + ∠Q = 180°
∴ ∠Q = 180 - 93.9 - 45
∴∠Q = 41.1°
To learn more about angle of a triangle :
brainly.com/question/25716982
#SPJ4
(7) The sum of five consecutive even integers is at least 400 . What is the minimum value of the first even integer? Choose from the following solutions:
A 80
B 70
C 76
D 82
Answer:
C 76
Step-by-step explanation:
let x = 1st number
let x+ 2 = 2nd number
let x + 4 = 3rd number
let x + 6 = 4th number
Let x + 8 = 5th number
x + x + 2 + x+ 4 + x + 6 + x + 8 = 400 Combine like terms
5x + 20 = 400 Subtract 20 from each side
5x = 380 Divide both sides by 5
x = 76
Check:
76 + 78 + 80 + 82 + 84 = 400
please help i need to turn in tomorrow
Answer:
(I will only answer one and I think my explanation can help you understand so you do it yourself) For number 8: the slope-intercept form is: y=-1/3x-11
Step-by-step explanation:
x+3y=-33
3y=-x-33(take away x from both sides of the = sign)
y=-1/3x-11(divide 3 on both sides of the = sign)
Find two positive numbers whose difference is 11 and whose product is 1692.
The positive numbers are 36 and 47.
What is a positive number?
Any positive number is one that is higher than zero.
A number can be zero, negative, or positive. Zero has no positive or bad aspects. The most frequent positive numbers in daily life include 34, 9.22, and other examples such as these. They are typically depicted on a number line to the right of zero, increasing bigger as you move to the right.
Assume that the positive numbers be x and y.
Given that the difference x and y is 11.
Therefore x - y = 11
x = y + 11 ....(i)
The product of the numbers is 1692.
xy = 1692 .....(ii)
Putting x = y - 11 in equation (ii):
(y + 11)y = 1692
y² +11y = 1692
y² +11y - 1692 = 0
y² +47y - 36y - 1692 = 0
y(y + 47) - 36(y+47) = 0
(y + 47) (y-36)=0
y = -47 and 36
Since the numbers are positive, thus y = 36.
The value of x is 36 + 11 = 47
To learn more about linear equation, click on below link:
https://brainly.com/question/11633785
#SPJ1
multiply 1/2 x 1/4 equals ?
Answer:
1/8 or 0.125
Step-by-step explanation:
1/2×1/8
multiply the numerators 1×1=1 and multiply the denominators 2×4=8
Final answer =1/8 or 0.125
ZA and ZB are vertical angles. If m/A = (6x +29)° and m
LB = (7x+25)°, then find the value of x.
The value of x is 4.
What are vertical angles?
The opposing angles formed when two lines cross. They are constantly on par. In this illustration, the angles a° and b° are vertical. The term "vertical" refers to the vertex, not up or down, where they cross.
Here, we have
Given the following parameters
m∠A= (6x +29)° and
m∠B = (7x+25)°
Now, we equate both angles to find the value of x and we get
6x+29 = 7x + 25
6x-7x = 25 - 29
-x = -4
x = 4
Hence, the value of x is 4.
To learn more about the vertical angles from the given link
https://brainly.com/question/8761754
#SPJ1
(Please Help!) For each quantity decide whether circumference or area would be needed to calculate it.
A: The distance around a ferris wheel
B:The amount of paint needed to paint a bullseye
C: The amount of whipped cream needed to go around the edge of a pie
D The amount of material needed to make a drum head (the part of the drum you hit).
The quantities we need circumference for are: A and C.
The quantities we need area for are: B and D.
What is the Circumference and Area of a Circular Shape?The circumference of a circular shape is described as the distance around the circular shape. It is calculated using the formula, 2πr.
On the other hand, the area of a circular shape is the amount of space a circular shape has. It is calculated as πr².
Therefore:
For quantity A, to know the distance around a Ferris wheel, we would need to calculate is the circumference, so also for quantity C.
For quantity B, to know the amount of paint needed, we would calculate the area, so also is it for quantity D.
Learn more about area and circumference on:
https://brainly.com/question/402655
#SPJ1
Kyle needs 164 beads for a project. The beads are sold in packs of 2, 5, or 10. What is the least number of packs Kyle needs to buy. Explain
Answer: 17 packs
Step-by-step explanation: 16 packs of 10 equals 160 beads, and one pack of 5 will give you 164 beads with 1 left over.
A scuba diver is at an elevation of −18 ft. She then descends 30 ft deeper. What is the scuba diver’s new elevation?
Answer: -48
Step-by-step explanation:
-18-30 = -48
Cameron invests money in a bank account
which gathers compound interest each year.
After 4 years there is $736.80 in the account.
After 7 years there is $788.82 in the account.
Work out the annual interest rate of the bank
account.
Give your answer as a percentage to 1 d.p.
first off, let's check the equation for each year.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$736.80\\ P=\textit{original amount deposited}\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ 736.80=P\left(1+\frac{\frac{r}{100}}{1}\right)^{1\cdot 4}\implies 736.80=P\left(1+\frac{r}{100} \right)^4 \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$788.82\\ P=\textit{original amount deposited}\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\dotfill &1\\ t=years\dotfill &7 \end{cases} \\\\\\ 788.82=P\left(1+\frac{\frac{r}{100}}{1}\right)^{1\cdot 7}\implies 788.82=P\left(1+\frac{r}{100} \right)^7 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{using the 1st equation}}{736.80=P\left(1+\frac{r}{100} \right)^4}\implies \cfrac{736.80}{\left(1+\frac{r}{100} \right)^4}=P \\\\\\ \stackrel{\textit{using the 2nd equation}}{788.82=P\left(1+\frac{r}{100} \right)^7}\implies \stackrel{\textit{substituting on the 2nd equation}}{788.82=\cfrac{736.80}{\left(1+\frac{r}{100} \right)^4}\left(1+\frac{r}{100} \right)^7}[/tex]
[tex]788.82=736.80\cfrac{ ~~ \left(1+\frac{r}{100} \right)^7 ~~ }{\left(1+\frac{r}{100} \right)^4}\implies 788.82=736.80\left(1+\frac{r}{100} \right)^3 \\\\\\ \cfrac{788.82}{736.80}=\left(1+\frac{r}{100} \right)^3\implies \sqrt[3]{\cfrac{788.82}{736.80}}=1+\cfrac{r}{100}\implies \sqrt[3]{\cfrac{788.82}{736.80}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[3]{\cfrac{788.82}{736.80}}=100+r\implies 100\sqrt[3]{\cfrac{788.82}{736.80}}-100=r\implies {\Large \begin{array}{llll} \stackrel{\%}{2.3}\approx r \end{array}}[/tex]
It's Pre-calculus subject
1) The growth rate is 40%
2) The number of bacteria initially present is 990
3) The number after four hours is 4904
4) The function in terms of time is written as F(t) = 120e^-1.6t
What is the number of bacteria?We know that the number of the bacteria can be obtained on the basis of the function that we have. We know that the process of exponential increase of decrease would have to be modelled by the use of an exponential equation. In this case, we have the equation; n(t) = 990e^0.4t
We know that in this case, the time of the multiplication of the bacterial is t, the percent growth rate of the bacteria is 40% and the initial number of the bacteria is 990.
After 4 hours we have;
n(4) = 990e^0.4(4)
n(4) = 4904
b) Given that the initial temperature if the system is 120°F and the rate of the cooling is 1.6, the formula is written as;
F(t) = 120e^-1.6t
Learn more about exponential function:https://brainly.com/question/14355665
#SPJ1
Cedric deposited $796.00 in a savings account that earned 2.5% simple interest annually. Determine the amount of interest Cedric's account earned after 1 year and 9 months. (4 points)
$37.81
$34.83
$348.25
$295.56
The of interest earned by Cedric's account after 1 year and 9 months is $34.83.
What is the amount of interest in Cedric's account after 1 year and 9 months?The simple interest formula is expressed as;
I = P × r × t
Where I is interest, P is principal, r is interest rate and t is time.
Given the data in the question;
Principal P = $796Interest rate r = 2.5%Elapsed time t = 12months + 9months = 21 monthsInterest I = ?Plug the given values into the above formula and solve for interest.
I = P × r × t
I = $796 × 2.5% × 21/12
I = $796 × 0.025 × 1.75
I = $796 × 0.025 × 1.75
I = $34.83
Therefore, the interest earned in the account is $34.83.
Option B is the correct answer.
Learn more about simple interest here: brainly.com/question/25845758
#SPJ1
easy proportional relationship help wanted
Answer:
y = [tex]\frac{1}{8}[/tex]x
Step-by-step explanation:
You need to find the unit rate. In a proportional relationship, you can find this by taking any point on the line and putting it the form y/x
Look at point (16,2) y/x = 2/16 = 1/8
Graph the polygon with the given vertices and its image after a reflection in the line y = x.
A(6, - 3), B(1, - 2), C(4, 1)
The image of the polygon after a reflection in the line y=x is having vertices at A'(-3, 6), B'(-2, 1) and C'(1, 4) as shown in the diagram attached.
What is a reflection?A reflection is a sort of transformation that creates a new shape by flipping a shape, called the preimage, across a line, called the line of reflection (called the image). You may imagine what would occur if the form were turned over the line to graph a reflection.
A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image).
You can picture what would happen if you flipped the form over the line in order to graph a reflection.
If a point A(x, y) is reflected about the line y = x,
the new point would be at A'(y, x)
Given the polygon with vertices at A(6, -3), B(1, -2) and C(4, 1).
The image of the polygon after a reflection in the line y=x has vertices at:
A'(-3, 6), B'(-2, 1) and C'(1, 4)
The image of the polygon is attached.
Therefore, according to the attached graphic, the vertices of the polygon's image after a reflection in the line y=x are located at A'(-3, 6), B'(-2, 1), and C'(1, 4).
To learn more about the reflection;
https://brainly.com/question/11232423
#SPJ1
Yesterday, Jack drove 39 1/2 miles. He used 1 1/4
gallons of gasoline. What is the unit rate for miles per gallon?
Answer:
31 [tex]\frac{3}{5}[/tex] miles per gallon.
Step-by-step explanation:
[tex]\frac{39\frac{1}{2} }{1\frac{1}{4} }[/tex]
39 [tex]\frac{1}{2}[/tex] ÷ 1 [tex]\frac{1}{4}[/tex]
[tex]\frac{79}{2}[/tex] ÷ [tex]\frac{5}{4}[/tex]
[tex]\frac{79}{2}[/tex] x [tex]\frac{4}{5}[/tex] = [tex]\frac{158}{5}[/tex] = 31 [tex]\frac{3}{5}[/tex] miles per gallon or 31.6 miles per gallon
Find the equivalent measure.
19 qt L
Click the icon to view the customary and metric unit equivalents.
-
19 qtL
(Type an integer or decimal rounded to the nearest tenth as needed.)
The equivalent measure of 19 quarts is either 608 fluid ounces or 18.094 liters.
What is the equivalent measure?
In mathematics, and more specifically in measure theory, equivalence refers to the idea that two measures are qualitatively similar. The two measures specifically agree on which events have measure zero.
The unit "qt" stands for quart, which is a unit of volume.
It is equal to 32 fluid ounces or 0.946 liters.
Therefore, 19 quarts is equal to 19 * 32 = 1932= 608 fluid ounces,
or 19 * 0.946 = 190.946 =18.094 liters.
Hence, the equivalent measure of 19 quarts is either 608 fluid ounces or 18.094 liters.
To learn more about the system of equations visit,
https://brainly.com/question/25716982
#SPJ1