Step-by-step explanation:
hope you can understand
Rewrite the biconditional statement to make it valid. ""A quadrilateral is a square if and only if it has four right angles. ""
The revised biconditional statement is “A quadrilateral has four right angles if and only if it is a square”. This is true because any quadrilateral with four right angles will always be a square. Hence, the revised biconditional statement is valid.
The statement “A quadrilateral is a square if and only if it has four right angles” is a biconditional statement. A biconditional statement is a combination of two conditionals connected by the phrase “if and only if”.For a biconditional statement to be valid, both the conditional statements should be true. In the given biconditional statement, “a quadrilateral is a square if it has four right angles” is true.
However, the statement “a quadrilateral with four right angles is a square” is not always true. This is because there are other quadrilaterals that have four right angles but are not squares.To make the given biconditional statement valid, we need to rewrite the second conditional statement so that it is also true.
This can be done by using the converse of the first conditional statement.
Therefore, the revised biconditional statement is “A quadrilateral has four right angles if and only if it is a square”. This is true because any quadrilateral with four right angles will always be a square. Hence, the revised biconditional statement is valid.
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solve the quadratic equations
1)a20-3a+2=0
2)x2-6x+9=0
3)y2+8y+16=0
4)z2-4z=0
5)z2-4=0
A20-3a+2=0
22-3a=0
-3a=-22
a=22/3
A= 7,3
7) What does a multiplier of \( 1.2 \) mean?
A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.
A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.
A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.
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in how many ways can five boys be chosen in a class of 20 boys if the class captain has to be included
Answer:
top 5 talented. top 5 looser top 5 absent boys .top 5 regular coming
The difference of a number b and seven is 10. Answer: ?
The product of a number t and eight is twelve. Answer: ?
Twice the sum of a number m and five is the difference of nine and n. Answer: ?
Twenty-one is the quotient of a number y and 4. Answer: ?
Thrice the difference of number b and one is the product of a number c and then. Answer: ?
Answer:The answer to the first question is b = 3.
The answer to the second question is t = 8.
The answer to the third question is m = 2 and n = 7.
The answer to the fourth question is y = 84.
The answer to the fifth question is b = 5 and c = 3.
Step-by-step explanation:
Trinity's car gets 26.5 miles per gallon of gas. Trinity is taking a trip that requires 14 gallons of gas. Which of the following best represents the number of liters of gasoline the trip will require? ( 1 gal ≈ 3.79 liters)
If you know the answer please help me!!!
what is the length of a 0.2-mm object expressed in μ m?
evaluate 2x + 5 - 10 when x = 12
HELP PLAESE!!!!!!!!!!!!!! I NEED HELP
Answer:
A
Step-by-step explanation:
B doesn't sound right
C doesn't either
D is just wrong
convert 10/23 into a mixed number
Answer:
Since
10/23
is a proper fraction, it cannot be written as a mixed number.
but if it’s 23/10= 2 3/10
Step-by-step explanation:
U mean 23/10?
What is the slope of the line that cuts through the points (1, 2) and (5, 4)?
Answer:
\(slope=\frac{1}{2}\)
Step-by-step explanation:
Use the following equation:
\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}\)
Rise over run is the change in the y-axis over the change of the x-axis, otherwise known as the slope.
Insert the values:
\((1_{x1},2_{y1})\\(5_{x2},4_{y2})\)
\(\frac{4-2}{5-1}=\frac{2}{4} =\frac{1}{2}\)
The slope is \(\frac{1}{2}\).
:Done
Answer:
1/2
Step-by-step explanation:
The formula for slope is: y1-y2/x1-x2
The points given are: (x-coordinate, y-coordinate)
In the formula:
y1 is the y-coordinate of the first point
y2 is the y-coordinate of the second point
x1 is the x-coordinate of the first point
x2 is the x-coordinate of the second point
This said, we can plug our points in.
2-4/1-5
Subtract.
-2/-4
Simplify.
-1/-2
The negatives will cancel each other out.
1/2
The slope of the line that cuts through the points (1,2) and (5,4) is 1/2.
Which equation describes the line with slope -2/3 that crosses the y -axis at the point (0,4)
X = 4y -2/3
Y= -2/3x + 4
Y = 4x -2/3
X = -2/3y + 4
The line with slope -2/3 that crosses the y -axis at the point (0,4) exists X = -2/3y + 4.
What is meant by slope line ?When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.
The values of the y-intercept and slope reveal details on the nature of the relationship between the two variables, x and y. According to a unit change in x, the slope shows how quickly y changes. When the x-value is 0, the y-intercept shows the value of the y-axis.
Vertical lines are described as having "unknown slope" because their slope seems to be an arbitrary, arbitrarily high amount. The four different slope types are represented in the graphs below.
Therefore, the correct answer is option d) X = -2/3y + 4.
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What is the horizontal change when the vertical change is 1?
Answer:
3
Step-by-step explanation:
The slope is -3/1 so for every 3 horizontal spaces you move, you move 1 vertical space.
Feel free to mark as brainliest if im correct :)
-1/2(x-5)^2 +6 in standard form
Answer:5/2=25
Step-by-step explanation:
Which correctly orders from greatest to least? 330, 341, 382 490, 581, 671 560, 324, 318 870, 890, 832 16 = 19 - 3
The correct order from greatest to least is:
870, 890, 832.
The numbers in the given options are:
330, 341, 382, 490, 581, 671
560, 324, 318
870, 890, 832
Among these options, the first option is already in increasing order, so it is not the correct answer. The second option is in decreasing order, so it is also not the correct answer. The third option, however, is in increasing order, and the numbers are 870, 890, and 832. Therefore, the correct order from greatest to least is 870, 890, 832.
The given expression "16 = 19 - 3" is not related to ordering numbers and does not affect the solution. It appears to be an equation stating that 16 is equal to 19 minus 3
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3. Ramona drank 1 5/8 liters of water during soccer practice. She drank 1 1/4
liters of water on the ride home. Which expression could be used to
determine the amount of water, in liters, Ramona drank altogether?
Answer:
The expression x = \(\frac{13}{8}+\frac{5}{4}\) could be used to determine the amount of water drank altogether.
Step-by-step explanation:
Given that:
Amount of water drank during practice = \(1\frac{5}{8} = \frac{13}{8}\) liters
Amount of water drank on the ride home = \(1\frac{1}{4} = \frac{5}{4}\) liters
Let,
x be the total amount of water drank by Ramona.
x = Water drank during practice + Water drank on the ride home
x = \(\frac{13}{8}+\frac{5}{4}\)
Hence,
The expression x = \(\frac{13}{8}+\frac{5}{4}\) could be used to determine the amount of water drank altogether.
An opinion poll asked a random sample of high school couples in the United States whether they believe they will marry their high school sweetheart. A researcher believes more than 25% of high school couples believe they will marry. Which null and alternative hypotheses should be used to test this claim? (4 points)
H0: p = 0.25, Ha: p > 0.25
H0: p = 0.25, Ha: p < 0.25
H0: p = 0.25, Ha: p ≠ 0.25
H0: p > 0.25, Ha: p = 0.25
H0: p ≠ 0.25, Ha: p > 0.25
The correct hypothesis for the test made in this problem are given by:
H0: p = 0.25, Ha: p > 0.25.
What are the hypothesis test?At the null hypothesis, we test if the researcher is not correct, that is, if the proportion is of 25%, hence:
\(H_0: p = 0.25\)
At the alternative hypothesis, we test if there is enough evidence for the researcher's claim, that is, if the proportion is greater than 25%, hence:
\(H_a: p > 0.25\)
Hence the correct option is:
H0: p = 0.25, Ha: p > 0.25
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3 years ago, you received a gitt of 10000 and you want to spend it in 3 years. How much will it be worth? Assume the interest rate is 4%.
$12,986.16
$12,653.19
$12,536.23
If you received a gift of $10,000 3 years ago and you want to spend it in 3 years with interest rate is 4%, it will be worth $12,653.19. Option b is correct.
To calculate the future value of a present sum after a specified period, we can use the formula for compound interest:
Future Value = Present Value * (1 + Interest Rate)ᴺ
In this case, the present value is $10,000, the interest rate is 4% or 0.04, and the number of periods is 6 years because you received the gift 3 years ago and want to spend it in 3 years.
Using the formula:
Future Value = \(\$10,000 * (1 + 0.04)^6\)
Future Value = \(\$10,000 * (1.04)^6\)
Future Value = $10,000 * 1.1265319
Future Value ≈ $12,653.19
Therefore, the amount will be approximately $12,653.19. Option b is correct.
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The quadratic equation -4x²+mx+n=0 has roots -8 and 1. Find the values of m and n.
Given :-
The quadratic equation -4x²+mx+n=0 has roots -8 and 1.To Find :-
The value of m and n .Solution :-
The roots are -8 and 1 . So on substituting x = -8 and 1 , the value of entire polynomial will become 0 . So that ,
\(\sf\longrightarrow\) -4x² + mx + n = 0
\(\sf\longrightarrow\) -4(-8)² +m(-8) + n = 0
\(\sf\longrightarrow\) -256 -8m + n = 0
\(\sf\longrightarrow\) 8m - n = -256 ----- (i)
Again ,
\(\sf\longrightarrow\) -4(1)² +m(1) + n = 0
\(\sf\longrightarrow\) 4 + m + n = 0
\(\sf\longrightarrow\) n + m = 4 ----- ( ii)
On adding (i) and (ii) , we have ,
\(\sf\longrightarrow\) 9m = 4 - 256
\(\sf\longrightarrow\) 9m = -252
\(\sf\longrightarrow\) m = -252/9
\(\sf\longrightarrow\) m = -28
So the value of n , will be ,
\(\sf\longrightarrow\) n = 4-m
\(\sf\longrightarrow\) n = 4 - 28 = -24
Hence the required answer is m = -28 and n = -24.
\(\text{The two roots are,}~~\alpha = -8,~~ \beta = 1\\\\\\\text{Now,}\\\\x^2 - (\alpha + \beta )x+\alpha \beta = 0\\\\\implies x^2 -(-8 +1)x +(-8)(1) =0\\\\\implies x^2+7x-8=0\\\\\text{Multiply both sides by}~ -4 \\\\-4x^2-28x+32=0\\\\\text{By comparing with}~ -4x^2 +mx +n=0, \text{we get,} ~m =-28 ~~ \text{and}~~ n = 32\)
please help me with number 4 it’s been due
Answer:
1. 4y = 3x - 8
2.y-7 = -2(x + 4)
Step-by-step explanation:
1. The general equation form is;
y = mx + b
m is slope b is y-intercept
so we have;
y= 3/4x - 2
Multiply through by 4
4y = 3x -8
2. The point-slope form is;
y-y1 = m(x-x1)
y-7 = -2(x + 4)
2. Use the figure to decide the type of angle pair that describes <5 and <6
Step-by-step explanation:
option A corresponding angles
hope this answer helps you dear!...take care
The slope of this line is . (If the slope does not exist, enter DNE or NONE.)
Answer:
0
Step-by-step explanation:
The slope is 0 because the y value stays the same
solve it with full process fast
Answer:
I can't see question properly
Completely factor the expression below. 4x^2 + 14x + 10
Answer:
\(2(x+1)(2x+5)\)
Step-by-step explanation:
First, factor out 2:
\(2(2x^2+7x+5)\)
Consider \(2(2x^2+7x+5)\). Factor the expression by grouping. First, the expression needs to be rewritten as \(2x^2+ax+bx+5\). To find a and b, set up a system to be solved:
\(a + b = 7\)
\(ab = 2 * 5 = 10\)
Since ab is positive, a and b have the same sign. Since a + b is positive, a and b are both positive. List all such integer pairs that give product 10:
\(1, 10\)
\(2, 5\)
Calculate the sum for each pair:
\(1 + 10 = 11\)
\(2 + 5 = 7\)
The solution is the pair that gives sum 7:
\(a = 2\)
\(b = 5\)
Rewrite \(2x^2+7x+5\) as \((2x^2+2x)+(5x+5):\)
\((2x^2+2x)+(5x+5)\)
Factor out 2x in the first and 5 in the second group:
\(2x(x+1)+5(x+1)\)
Factor out common term x + 1 by using distributive property:
\((x+1)(2x+5)\)
Rewrite the complete factored expression:
\(2(x+1)(2x+5)\)
Divide. Give the quotient and remainder.1871 divided by 4
Quotient:
Remainder:
Answer: Quotient: 467 Remainder: 3
Step-by-step explanation:
1871 divided by 4 = 467.75
467 times 4 = 1868
1871 - 1868 = 3
So, therefore the quotient is 467 and the remainder is 3.
what is the equation of a line that passes through 4,3 and 2,3
How to solve 1/8 13% 0.10 and 1/9 Least to greatest step-by-step
The numbers in least to greatest order are: 0.10, 0.111, 0.125, 0.13.
To solve 1/8, 13%, 0.10 and 1/9 in least to greatest step-by-step, we first need to convert them into the same form of numbers. Here's how:1. Convert 1/8 into a decimal number:1/8 = 0.1252. Convert 13% into a decimal number:13% = 0.13 (by dividing 13 by 100)3. Convert 1/9 into a decimal number:1/9 ≈ 0.111 (rounded to the nearest thousandth)So, the given numbers in decimal form are:0.125, 0.13, 0.10, 0.111Now, we can put them in order from least to greatest:0.10, 0.111, 0.125, 0.13Therefore, the numbers in least to greatest order are: 0.10, 0.111, 0.125, 0.13.
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Write the equation of the circle graphed
below.
Answer:
(x-1)^2+(y-2)^2=6.25
Step-by-step explanation:
Origin: (1, 2)
Radius: 2 1/2
(x-1)^2+(y-2)^2=2.5^2
(x-1)^2+(y-2)^2=6.25
Answer: ( x - 1 )^2 + ( y - 2 )^2 = 6.25
Step-by-step explanation:
Use a ratio box to solve this problem. If Mrs. C can wrap
12 packages in 5 minutes, how many packages can she
wrap in 1 hour?
PLEASE HELP
Answer: 12:1
Step-by-step explanation:
So how u start is they give you five minutes right
So then you divide 60min by 5. Which is 12.
and then you multiply 12*12
and that would be 144
so then 144:12 would simplify to 12:1 as your ration