Using zero as a counterexample, it disproves the conjecture '-x is negative', because when x=0, -x (which becomes -0) equals 0, not negative.
Explanation:A counterexample is an example that disproves a statement or proposition. In this case, we are given the conjecture '-x is negative'. If x is an integer, it can be positive, negative, or zero. To counter this statement, we can use zero as a counterexample. When x=0, -x (which becomes -0) is not negative but equals to 0. This proves that the original conjecture is not always correct, as it can have exceptions.
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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
Three plants grew 3/4 feet. How much did they grow in all
Answer:
2 and 1/4
Step-by-step explanation:
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'.
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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IM KINDA SLOWWWWW sorry
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.
Solve for x: 3x = 2/5
Answer:
x=2/15
Step-by-step explanation:
3x=2/5
/3 to both sides
3×/3=2/5/3
x=2/15
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:
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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Write 5.5.5.5. in
exponential notation.
Answer:
5.5.5.5
= 5^4
=625
Explanation:
5 to the power of 4 is equal to 625
Redefined format 5.5.5.5 as 5 * 5 * 5 * 5, converted to exponential notation as 5^4. The base is 5, exponent is 4, showing multiplication of the base 4 times.
Explanation:The number 5.5.5.5 that you've provided seems to have a format error considering the extra dots you've used. If by any chance you meant 5 * 5 * 5 * 5, it in exponential notation is 54. '5' is the base and '4' is the exponent, the latter representing the number of times the base is multiplied by itself. In this case 5 is multiplied by itself 4 times.
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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:
A business owner receives a 5000 loan with 13% interest, charged at the end of each year
Answer:
The answer is 5,650
Step-by-step explanation:
The loan is 5,000 and the interest is 13%
First you have to get the percent to a decimal and then multiply it by the loan which in this case is 5,000
13/100 = 0.13
0.13 x 5000 = 5650
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
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.
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
You have $1000 in a savings account and the compound interest rate is 5% per year. After 5 years, how much money approximately do you have in the savings account if you left the money to grow? A) $1000 B) $1215 C) $1250 D) $1275
Answer:
$1275
Step-by-step explanation:
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
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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 ^^^
100 POINTS
Please answer the question attached
Answer:
EVERYSINGLE ANGLE HAS 79 DEGREES
Step-by-step explanation:
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]
Wal-Mart sells a case of 24 cans of Diet Coke for $6.88 Kroger sells a 12 pack of Diet Coke for $3.99 which is Best Buy?
The cost per can of Diet Coke is cheaper at Wal-Mart than Kroger. Wal-Mart sells a can for approximately $0.287, while Kroger sells a can for approximately $0.3325. Therefore, Wal-Mart is the best buy.
Explanation:To determine the best buy between Wal-Mart and Kroger, we need to calculate the price per can of Diet Coke for each store.
For Wal-Mart, the case contains 24 cans for $6.88. So, we divide the total cost by the number of cans: $6.88 ÷ 24 = $0.287 per can
For Kroger, the pack contains 12 cans for $3.99. So, again we divide the total cost by the number of cans: $3.99 ÷ 12 = $0.3325 per can
Comparing the two prices, $0.287 per can from Wal-Mart is cheaper than $0.3325 per can from Kroger. Therefore, buying the case of Diet Coke from Wal-Mart is the best buy.
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Wal-Mart offers a better buy for Diet Coke compared to Kroger, with a price of $0.287 per can versus Kroger's $0.3325 per can.
First, calculate the price per can at Wal-Mart.Wal-Mart sells a case of 24 cans for $6.88.Price per can = $6.88 / 24 cans = $0.287 per can.Next, calculate the price per can at Kroger.Kroger sells a 12 pack for $3.99.Price per can = $3.99 / 12 cans = $0.3325 per can.Finally, compare the prices:Wal-Mart: $0.287 per canKroger: $0.3325 per canWal-Mart offers the better buy since the price per can of Diet Coke is cheaper at Wal-Mart ($0.287) compared to Kroger ($0.3325).
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.
browns farm market charges $2.50 per pound for locally grown tomatoes
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
Solve for x in the diagram below.
Answer:
8x+30°=110°
8x=80°
x=10°
Step-by-step explanation:
because the angles are vertical => they are equal
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]
Which equation is equivalent to the equation 9x-10 =35?
a. 9x = 25 c. 9x = -25
b. 9x = 45 d. 9x = -45
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}
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
Help!!!
What is the equation of of the line that represents your initial climb?
Answer:
y = 3x
Step-by-step explanation:
The exact equation for the climb would be y = (x-3)^2 + 9, however, a rough line that represents the climb is y = 3x.
Find the slope between (0, 0) and (3, 9) and we get m = 3. Plug it into y-int form and you get the line.
Answer:
y = 3x
I did this test last week and its correct.
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.