Conviction of DUI results in increased fines and jail time if aggravating factors such as high alcohol levels or prior offenses are present.
If you are convicted of DUI (driving under the influence), your fine and jail time will typically be increased if certain aggravating factors are present. These can include having a high blood alcohol content, previous DUI convictions, causing an accident while DUI, especially if injury or death occurred, having minors in the vehicle, and others. The penalties are enhanced due to the increased risk and harm these factors represent.
What is the area of the shaded region?
Answer:
[tex]\large \boxed{\text{21.86 ft}^{2}}[/tex]
Step-by-step explanation:
Area of shaded region = area of square - area of semicircle
1. Area of square
A = s² = (6 ft)² = 36 ft²
2. Area of semicircle
Area of circle = πr²
Area of semicircle = ½πr²
r = 3 ft, so
A = ½π(3 ft)² = ⁹/₂π ft³
3. Area of shaded region
A = area of square - area of semicircle
[tex]\begin{array}{rcl}A & = & \mathbf{\left(36 - \dfrac{9}{2} \pi \right )} \textbf{ ft}^{\mathbf{2}}\\\\ &\approx & \left (36 - 14.1372\right)\text{ ft}^{2}\\ & \approx & \mathbf{21.86}\textbf{ ft}^{\mathbf{2}} \\\end{array}\\\text{The area of the shaded figure is approximately $\large \boxed{\textbf{21.86 ft}^{\mathbf{2}}}$}[/tex]
What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5,4)?
x=-5
x=4
y = 5
y=4
Answer:
Step-by-step explanation:
x=-5
Answer:
It would be A) -5
Step-by-step explanation:
So it could be any number if it’s the x value. So it can’t be C or D
if it passes through (-5,4), then the x would have to be -5
therefore it is A
write the ratio 2/7 to 4 as a fraction in simplest form
Answer:
1/14
Step-by-step explanation:
2/7 to 4 means 2/7 to 4/1
This gives
2/7
4/1
rearranging, we have;
2/7 * 1/4
2 * 1
7 * 4
= 2/28
to reduce to the simplest form, we'll divide the numerator and denominator by 2 ( the HCF of both)
1/14
To write the ratio 2/7 to 4 as a fraction in simplest form, multiply both the numerator and denominator of 2/7 by 4. Simplify the resulting fraction by dividing both the numerator and denominator by their common factor, which is 4. The simplest form of the ratio is 2/7.
Explanation:To write the ratio 2/7 to 4 as a fraction in simplest form, we need to multiply both the numerator and denominator of 2/7 by 4. This gives us (2 * 4) / (7 * 4) = 8/28. Since both 8 and 28 have a common factor of 4, we can simplify the fraction further.
Dividing both the numerator and denominator by 4, we get 8/28 = 2/7.
Therefore, the ratio 2/7 to 4 as a fraction in simplest form is 2/7.
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What is 8x to the second power plus 10x
The expression [tex]8x^2 + 10x[/tex] factors to [tex]2x(4x + 5)[/tex] and has solutions x = 0 and x = -5/4.
We first need to understand what it represents. In this expression, [tex]x[/tex] is the variable, and the terms [tex]8x^2[/tex] and [tex]10x[/tex] are polynomial terms where:
[tex]8x^2[/tex] indicates that the variable [tex]x[/tex] is raised to the power of 2, meaning it is multiplied by itself ([tex]x \times x[/tex]) and then scaled by a factor of 8.
[tex]10x[/tex] means that the variable [tex]x[/tex] is multiplied by 10.
The first term is [tex]8x^2[/tex].
The second term is [tex]10x[/tex].
In this case, the terms are not like terms because one is [tex]x^2[/tex] and the other is [tex]x[/tex]. Therefore, they cannot be combined further. The expression is simplest as it stands, which is: [tex]8x^2 + 10x[/tex]
Factoring out [tex]2x[/tex] gives us:
[tex]2x(4x + 5)[/tex]
Thus, [tex]8x^2 + 10x[/tex] can also be expressed as [tex]2x(4x + 5)[/tex]. This is useful if you are trying to find the roots of the equation (setting it equal to zero) since it can help identify the values of [tex]x[/tex] that satisfy the equation [tex]8x^2 + 10x = 0[/tex].
This gives two possible solutions for x:
2 * x = 0 which leads to x = 0
4 * x + 5 = 0 which leads to x = -5/4
browns farm market charges $2.50 per pound for locally grown tomatoes
Simplify the expression (9 + 21)(9 – 21).
Answer:
-360
Step-by-step explanation:
1. Add 9 + 21 and subtract 9 - 21
2. That would be (30)(-12)
3. Then multiply 30 x -12
4. You get -360
is 2/2 and 3/2 perpendicular
Answer:
No
Step-by-step explanation:
in order for a slope to be perpendicularit needs to me the opposite recipricol
so to be perpendicular to 3/2 it would be -2/3
Set up and solve a proportion 6/100=s/12
Amount of tax on the book (s) is $0.72
Step-by-step explanation:
Step 1: Given 6/100 = s/12Step 2: Cross multiply to solve for s⇒ 6 × 12 = 100 × s
⇒ 72 = 100s
⇒ s = 72/100 = 0.72
Find x, y, and z. For number 24
x = 32, y = 11.31, z = 33.94
Step-by-step explanation:
Step 1: Let the triangle be ΔABC with B as the right angle. Let the hypotenuse be intersected by the altitude drawn from B at D. So there are 3 triangles, ΔABC, ΔADB and ΔBDC.
Step 2: To find x, y and z, use Pythagoras theorem where square of hypotenuse is equal to sum of squares of the other two sides of the right triangle.
Step 3: Make equations based on the theorem for all 3 triangles.
In ΔABC, (4+x)² = 12² + z²
⇒ 16 + 8x + x² = 144 + z²
⇒ x² + 8x - z² = 128 --------- (1)
In ΔADB, 12² = 4² + y²
⇒ 144 = 16 + y²
⇒ y² = 128 ------- (2)
In ΔBDC, z² = x² + y²
⇒ z² = 128 + x² ------ (3)
Substituting (3) in (1) ⇒ x² + 8x - (128 + x²) = 128
⇒ x² + 8x - 128 - x² = 128
⇒ 8x = 256
⇒ x = 32
From (3), z² = 128 + 32² = 128 + 1024 = 1152
⇒ z = 33.94
From (2), y² = 128
⇒ y = 11.31
20 PPOINTS SOMEONE PLEASE HELP ME ON #11 pleaseeee
Answer:
Set #9 are congruent triangles.
Step-by-step explanation:
They are the same shape and size. If I were to flip them over, they would mach up.
Answer:
cap its only 10
Step-by-step explanation:
combine like terms -2+3x+8+(-11x)
Answer:
6-8x
Step-by-step explanation:
-2+3x+8+(-11x)
-2+3x+8-11x
-2+8+3x-11x
6+3x-11x
6-8x
Which expression represents the number 13,809 written in expanded form?
A 13+80+9
B 13,000+800+90
C9+1,300+80
D 3,000+10,000+9+800
Final answer:
The number 13,809 in expanded form is expressed as 10,000 + 3,000 + 800 + 9, which corresponds to option 'D'.
Explanation:
To write the number 13,809 in expanded form, we break the number down into its place values and then write it as a sum of each digit multiplied by its place value. For the number 13,809 this would be:
(1 × 10,000) for the ten-thousands place,
(3 × 1,000) for the thousands place,
(8 × 100) for the hundreds place,
(0 × 10) for the tens place (which is actually 0 and usually omitted in expanded form), and
(9 × 1) for the ones place.
The expression that represents 13,809 in expanded form is therefore 10,000 + 3,000 + 800 + 9, which corresponds to option 'D'.
Three plants grew 3/4 feet. How much did they grow in all
Answer:
2 and 1/4
Step-by-step explanation:
Help ASAP..........
John and Mary went to the airport last Sunday. John took a bus first, and it took him 30 min to reach the train station. Then he got on a train and it took him 55 min to reach the airport. Mary left home 25 min later than John. She took a taxi and she reached the airport 20 min earlier than John. How long did it take Mary to get to the airport
Answer with full steps
Answer:
Mary reached the airport in 40 minutes
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Time it takes John to go from home to the train station = 30 minutes
Time it takes John to go from the train station to the airport = 55 minutes
Mary left 25 minutes later and reached the airport 20 minutes earlier than John
2. How long did it take Mary to get to the airport?
Total time it takes John to reach the airport = Time it takes John to go from home to the train station + Time it takes John to go from the train station to the airport
Total time it takes John to reach the airport = 30 + 55
Total time it takes John to reach the airport = 85 minutes
Now, let's calculate the time it takes Mary to reach the airport, this way:
Total time it takes John to reach the airport - minutes Mary left later - minutes Mary got to the airport earlier than John
85 - 25 - 20 = 85 - 45 = 40
Mary reached the airport in 40 minutes
Answer: Mary got to the airport in 40 Minutes.
2 adjacent angles of a parallelogram are (2x+45°) and (4x-15°) . What is the value of x?
Value of x is 25°
Step-by-step explanation:
Step 1: Adjacent angles of a parallelogram are supplementary. Therefore their sum is equal to 180°⇒ (2x + 45°) + (4x - 15°) = 180°
⇒ 6x + 30° = 180°
⇒ 6x = 150°
⇒ x = 25°
Step-by-step explanation:
Adjacent angles of a parallelogram are Supplementary.
[tex] \therefore \: (2x + 45 \degree) + (4x - 15 \degree) = 180 \degree \\ \\ \therefore \: 6x + 30 \degree = 180 \degree \\ \\ \therefore \: 6x = 180 \degree - 30 \degree \\ \\ \therefore \: 6x = 150 \degree \\ \\ \therefore \: x = \frac{150 \degree }{6} \\ \\ \huge \red{ \boxed{\therefore \: x = 25 \degree }}[/tex]
If Greg but 10 pieces of candy for $5.20 How much will it be for one piece of
Answer:
One piece of candy costs $0.52.
Step-by-step explanation:
5.2/10=0.52
hope you can help me!!
Write the inequality represented by the graph using the variable x.
Answer:
[tex]x < 4[/tex]
Step-by-step explanation:
When the circle is open that means it is not equal to and the line is going to the left so it is less than
Answer: x<4
Step-by-step explanation:
IM KINDA SLOWWWWW sorry
You run around a park 18 times. Each lap is 1/6 mile. How many miles do you run
Answer:3
Step-by-step explanation:
Divide 18 by 6
Answer:
3 miles
Step-by-step explanation:
If each lap is one mile, 18 times = 1/6 + 1/6 + ... + 1/6. This is equal to 18*1/6 by definition of multiplication, and 18*1/6 = 18 divided by 6 because fractions are just big division symbols. This gives 3 or 3 miles.
Walter struggles to write legibly and has a difficult time putting his thoughts on paper. Which learning disability does he have?
Dysgraphia learning disability . Dysgraphia is a neurological disease in which a person struggles to express their ideas in writing form appropriate to their age and mental capacity .
What is meant by dysgraphia?Children who have dysgraphia typically have confusing, uneven handwriting that varies in slant, form, upper- and lower-case letters, as well as cursive and print styles. They also have a tendency to copy or write things slowly.
Dysgraphia is a neurological disease in which a person struggles to express their ideas in writing form appropriate to their age and mental capacity even after receiving proper instruction and schooling. Various signs of dysgraphia might appear at various ages. It is regarded as a learning disability.
The disorder's origin is uncertain, however in adulthood, parietal lobe injury is frequently a contributing factor. Treatment for motor abnormalities to help control writing movements may be part of dysgraphia treatment, which varies. Other therapies could deal with memory loss or other neurological issues.
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Louise completed the work shown below.
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.
Louise’s answer is not correct
Step-by-step explanation:
Let us revise how to solve (ax + b)²
Square the 1st term ⇒ (ax)²Multiply the 1st term, the 2nd term and 2 ⇒ 2(ax)(b)Square the 2nd term ⇒ (b)²(ax + b)² = (ax)² + 2(ax)(b) + (b)²The answer of square a binomial contains three terms: (1st)² + 2(1st)(2nd) + (2nd)²
∵ The bracket is (5x³ + 3)²
- Square the first term
∴ The first term of the answer = (5x³)² = (5)²(x³)² = [tex]25x^{6}[/tex]
- Multiply the 1st , the 2nd term and 2
∴ The second term of the answer = 2(5x³)(3) = 2(5)(3)x³ = 30x³
- Square the 2nd term
∴ The third term of the answer = (3)² = 9
∴ (5x³ + 3)² = [tex]25x^{6}[/tex] + 30x³ + 9
∵ Louise’s answer is (5x³)² + (3)² = [tex]25x^{6}[/tex] + 9
- By comparing the his answer with the answer above, he did
not find the middle term
∴ Louise’s answer is not correct
Learn more:
You can learn more about expand a binomial in brainly.com/question/2334388
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Answer:
Sample Response: Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.
Step-by-step explanation:
Sample Response ^^^
Gabbys age is two times mikhails age.the sum of their ages is 75. What is mikhails age
Answer:
Mikhail's age is 25 years old
Step-by-step explanation:
Let's make an equation: Say Mikhail is x, so Gabby would be 2*x=2x
If the sum of their ages equals 75, then x+2x=75, and x=2x=3x, so 3x=75.
75/3=25
Final answer:
Gabby's age is twice Mikhail's age, and the sum of their ages is 75. By setting up and solving a system of equations, we can determine that Mikhail's age is 25.
Explanation:
To solve this problem, we can set up a system of equations using the information given. Let's say Gabby's age is represented by 'G' and Mikhail's age is represented by 'M'. We know that G = 2M and the sum of their ages is 75, so we can write the equation G + M = 75. Now we have a system of equations:
G = 2M and G + M = 75.
To solve this system, we can substitute the value of G from the first equation into the second equation: 2M + M = 75. Combine like terms: 3M = 75. Divide both sides by 3: M = 25. So Mikhail's age is 25 years old.
Equivalent expressions 3.7r - 1.5r =
Answer:
2.2r
Step-by-step explanation:
3.7r - 1.5r =
= r(3.7 - 1.5)
= r×2.2
= 2.2r
Yo sup??
given expression: 3.7r-1.5r
3.7r-1.5r
=3.7r+(-1.5r)
=2.2r
Hope this helps.
good morning,
What is the domain of the function graphed below?
thanks yall
Answer:
A. {x / x ≠ -2, 3}
Step-by-step explanation:
In the graph, we can find the vertical asymptotes of the given graph is at x = -2 and x = 3.
You can see the vertical line red dotted line in the graph. That is called vertical asymptotes.
The vertical asymptotes cannot be the domain of the functions.
All other integers are domain except x = -2 and x = 3.
Therefore, answer is A. {x / x ≠ -2, 3}
Which equation is equivalent to the equation 9x-10 =35?
a. 9x = 25 c. 9x = -25
b. 9x = 45 d. 9x = -45
For all values of x, which expression is equivalent to x + 1 − x + 2x + x + 1?
Answer:
3x+2
Step-by-step explanation:
We want to find an expression that is equivalent to:
[tex]x+1-x+2x+x+1[/tex]
We regroup similar terms to get:
[tex]x-x+2x+x+1+1[/tex]
We now combine the similar terms to obtain:
[tex]3x+2[/tex]
Therefore the expression that is equivalent to: x + 1 − x + 2x + x + 1 is [tex]3x+2[/tex]
Answer:
3x + 2
Step-by-step explanation:
3x + 2
Solve by simplifying the given expression OR substitute 1 for x in each expression.
x + 1 − x + 2x + x + 1 → x − x + 2x + x + 2 → 3x + 2
OR
x + 1 − x + 2x + x + 1 → 1 + 1 − 1 + 2(1) + 1 + 1 = 5
3x + 2 → 3(1) + 2 = 5
Which of the following sets of numbers could be the side lengths of a right triangle? 5, 12, 13 5, 5, 9 14, 14, 14 2, 3, 5
Answer:
5,12,13
Step-by-step explanation:
i think thats what the other person meant to say, either way, these numbers are correct
Answer: 5, 12, 13
Step-by-step explanation:
what is the answer to 10+7x
Answer:if u I simplified then 17x
Step-by-step explanation:
Like terms are 10+7=17+x=17x
write a number with two decimal places that are bigger than 4 1/5 but smaller than 4.25
Answer:4.21,4.22,4.23, 4.24
Step-by-step explanation:
4 1/5 is 4.2 as a decimal and the numbers between 4.2 and 4.5 as numbers with 2 places past the decimal place are the ones above.
The number with two decimal places that are bigger than 4(1/5) and smaller than 4.25 is 4.22.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4(1/5)
= 21/5
= 4.2
Now,
Two decimal numbers between 4.2 and 4.25.
4.21, 4.22, 4.23, and 4,24.
Thus,
The number is 4.22.
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Solve for X: 5 - (x+5) > -2(x+4)
Answer:
value of x is greater than -8.
Step-by-step explanation:
5-(x+5)>-2(x+4)
we need to find value of x.
consider
5-(x+5)>-2(x+4)
using distributive property, we get
5-x-5>-2x-2×4
5-x-5>-2x-8
nowsimplify both side
-x+2x>-8
transfer -2x form RHS To LHS
-x+2x-8
x>-8
therefor, value of x is greater than-8.