Answer:
Step-by-step explanation:
They sold 5 of the 1¼-pound baskets, which weighed a total of 6¼ pounds.
a backpack that normally sells for $40 is on sale for $30. find the percentage of a change.
Answer:It would be 40•.25=10
Step-by-step explanation: which means 40-10=30 so it’d be .25 and you’d move the decimal over 2 spots so it’d be 25% off
Find an equation for the perpendicular
bisector of the line segment whose
endpoints are (7, 3) and (-5, 9).
Therefore , the solution of the given problem of equation comes out to be the equation of the perpendicular bisector of that line segment (7, 3) and (-5, 9) is y = 2x + 4.
Explain equation.Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this case, leveling generates b + 7 rather than another algorithm that could analyze data provided by y + 7, split 12 into two parts, and create y + 7.
Here,
The midpoint formula can be used to determine the midpoint of the line segment whose ends are (7, 3) and (-5, 9):
=> ((7 + (-5))/2, (3 + 9)/2) = (1, 6)
the middle is thus (1, 6). The slope of the line going through (7, 3) and must now be determined. (-5, 9). The slope method is used to:
=>slope = (9 - 3)/(-5 - 7) = -6/12 = -1/2
The equivalent of -1/2 in the negative is 2.
=> y - y1 = m(x - x1)
where (x1, y1) is a location on the line and m denotes the slope. When we replace m = 2 with (1, x1, y1) = (1, 6), we obtain:
=> y - 6 = 2(x - 1)
By enlarging and condensing, we obtain:
=> y - 6 = 2x - 2
=> y = 2x + 4
the line segment whose ends are and the equation of the perpendicular bisector of that line segment (7, 3) and (-5, 9) is y = 2x + 4.
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Please help find the perimeter and area of the polygon
50,000 ÷ 10 to power of 3
Answer:
50,000,000
Step-by-step explanation:
10 x 10 x 10 = 1,000
1,000 x 50,000 = 50,000,000
Ill give brainliest.....
Write a quadratic equation if its roots are: 2-√3, and 1/(2-√3) assuming that the leading coefficient a=1, the equation is...
\(x^2 -4x +1 = 0\)
Step-by-step explanation:According to the Zero-Product Property, if you have the Quadratic Equation, \((x +a)(x +b) =0\), it's roots will be \(x = -h\) and \(x = -k\).
If we want our roots to be \(2 -\sqrt 3\) and \(\frac{1}{2 -\sqrt 3}\\\), then \(-h = 2 -\sqrt 3\) and \(-k = \frac{1}{2 -\sqrt 3}\\\).
Solving for \(h\):
\(-h = 2 -\sqrt 3 \\ -h \cdot -1 = (2 -\sqrt 3) \cdot -1 \\ h = \sqrt 3 -2\)
Solving for \(k\):
\(-k = \frac{1}{2 -\sqrt 3} \\ -k \cdot -1 = \frac{1}{2 -\sqrt 3} \cdot -1 \\ k = \frac{1}{\sqrt 3 -2}\)
Writing the equation:
\((x +h)(x +k) = 0 \\ (x +(\sqrt 3 -2))(x +\frac{1}{\sqrt 3 -2}) = 0\)
Unsurprisingly, the answer shouldn't be that because it shouldn't be that easy. By that, we have to apply the distributive property.
\((x +(\sqrt 3 -2))(x +\frac{1}{\sqrt 3 -2}) = 0 \\ x(x +(\sqrt 3 -2)) +\frac{1}{\sqrt 3 -2}(x +(\sqrt 3 -2)) = 0 \\ x^2 +(\sqrt 3 -2)x +\frac{1}{\sqrt 3 -2}x +\frac{1}{\sqrt 3 -2}(\sqrt 3 -2) = 0 \\ x^2 +((\sqrt 3 -2) +\frac{1}{\sqrt 3 -2})x +1 = 0 \\ x^2 + (\frac{(\sqrt 3 -2)^2}{\sqrt 3 -2} +\frac{1}{\sqrt 3 -2})x +1 = 0 \\ x^2 +\frac{3 -4\sqrt 3 +4 +1}{\sqrt 3 -2}x +1 = 0 \\ x^2 +\frac{8 -4\sqrt 3}{\sqrt 3 -2}x +1 = 0 \\ x^2 +\frac{-4(\sqrt 3 -2)}{\sqrt 3 -2}x +1 = 0 \\ x^2 -4x +1 = 0\)
The quadratic equation will be y = (x - 2 - √3)[x - 1/(2-√3)].
How to get polynomials with zeroes?Let b, c, d, and e be the zeroes of the polynomial. And 'a' be the leading coefficient.
Then the polynomial is given as,
⇒ a(x - b)(x - c)(x - d)(x - e)
The degree of the polynomial will be greater than or equal to the number of zeroes.
Write a quadratic equation if its roots are: 2-√3, and 1/(2-√3) assuming that the leading coefficient a = 1.
Then the equation of the quadratic equation will be
y = 1(x - 2 - √3)[x - 1/(2-√3)]
y = (x - 2 - √3)[x - 1/(2-√3)]
The quadratic equation will be y = (x - 2 - √3)[x - 1/(2-√3)].
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QUESTION 1
3/8 - 1/4 =
Answer:
1/8
Step-by-step explanation:
1/4 = 2/8 so 3/8 - 2/8 = 1/8
Answer:
1/8
Step-by-step explanation:
This is a common denominators problem. 2/8 is equivalent to 1/4. So now subtract 3/8-2/8 which is 1/8.
Hope it helps!
A 2-dimensional figure is graphed on the coordinate plane with vertices at (0,5), (3, 5), and (0,20)
Part A: What is the figure?
Part B: When the figure is rotated along the y-axis to create a 3-dimensional figure, what does it form?
Answer:
A. Right-Triangle
B. Right Circular Cone
Step-by-step explanation:
A. Any set of three points(other than if all points are colinear) will form a triangle of some sorts. In this case, we see that the base is formed from the points (0,5) and (3,5), whereas the peak is (0,20). Since the left base and the peak have the same x-coordinate, a right angle must be formed.
B. Visually, if we rotate a triangle infinitely around the y-axis, the shape formed is that of a cone(imagine the triangle spinning around the y-axis, and the funnel-like shape comes to life).
What is the distance between 120 and -130 on a number line?
Evaluate the expression for d = 3. 2(d +8)= ??
Answer:
22
Step-by-step explanation:
$1,400 principal earning 6%, compounded semi-annually, after 10 years
Answer: $2528.56 is the answer because if you do the problem you should get something like this
A=P(1+r/n)^nt
Plug in the values:
P=1400, r=6/100=0.6,
n=2 and t=10
A=1400(1+.06/2)^2(10)
A=$2528.56
Hope it helped
Yours,
Nathaniel
Step-by-step explanation:
can someone hep me with this
Answer:
What do you need help with?
Step-by-step explanation:
Round 23.492 the nearest hundredth
Answer: 23.49
Step-by-step explanation:
Look at the thousandths place and the hundredths place.
92
Now we round 92.
1-4 it stays the same
5 or more you raise it
92 is about 90.
So you would get 23.490
You can eliminate the excess zero.
Your answer is 23.49
3. Kevin weighs 57 kilograms (kg) and his father weighs 85 kg. How much less
is Kevin's weight than his father's weight?
Answer:
his father weighs 28 kg more :)
Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence shown? Worth 10 points
The relation that can not be supported by the evidence in the image is option B
What happens when a transversal cuts a parallel line?
Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.
Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.
Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.
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6. If Jeremy has a batting average
of 0.5014
and Alex has a batting average of 0.50098
who has the better average?
Please help and how do you know this answer
Answer:
21
Step-by-step explanation:
Answer:
1.67
Step-by-step explanation:
25/15 = 1.67
The mean is estimated by dividing the total of the values by the range of values.
Please help I have no idea
the park is 3 miles long and 2 miles wide. manuel walked around the park two times. how many miles did he walk in all?
(im pretty sure im wrong but is the answer 12?)
Answer:
20 miles.
Step-by-step explanation:
You're on the right track with your answer of 12. You added the sides you knew & multiplied by 2.
I'm picturing the park like a rectangle. So there are two sides that are 3 miles long, and 2 sides that are 2 miles long. For perimeter, we add all the sides.
3 + 3 + 2 + 2 = 10. And he walked the park twice, so 2 x 10 = 20
What is the volume of this object?
__u3
Answer:
15u³
Step-by-step explanation:
To find volume ↓
Volume
= length × width × height
= 2u × 2½u × 3u
= 15u³
Hope this helps =)
If the trapezoid on the grid below is translated by using the rule (x,y)-> (x-4,y-3) what will be the coordinates of B’?
Answer:
B'(3, 5)
Step-by-step explanation:
Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,
(x, y) → (x - h, y + k)
If h = 4 and k = 3,
\((x, y)\rightarrow(x-4,y+3)\)
Following this rule coordinates of the image point of B will be,
B(7, 2) → B'(7 - 4, 2 + 3)
→ B'(3, 5)
Therefore, coordinates of the image point B' will be,
B'(3, 5)
PLEASE HELP FAST I’M HAVING A LITTE TROUBLE PLEASE GIVE THE RIGHT ANSWER
Answer:
C) 1/2 and 8
Step-by-step explanation:
-2x + y = 7 Eq. 1
6x + y = 11 Eq. 2
From Eq. 1:
y = 7 + 2x Eq. 3
From Eq. 2:
y = 11 - 6x Eq. 4
Equalyzing Eq. 3 and Eq. 4:
7 + 2x = 11 - 6x
2x + 6x = 11 - 7
8x = 4
x = 4/8
x = 1/2
From Eq. 3:
y = 7 +2* 1/2
y = 7 + 1
y = 8
Check:
From Eq. 2
6x + y = 11
6*1/2 + 8 = 11
3 + 8 = 11
Two voting districts, C and M, were sampled to investigate voter opinion about tax spending. From a random sample of 100 voters in District C, 22 percent responded yes to the question "Are you in favor of an increase in state spending on the arts?" An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question. A 95 percent confidence interval for the difference
Answer:
Step-by-step explanation:
Confidence interval for the difference in the two proportions is written as
Difference in sample proportions ± margin of error
Sample proportion, p= x/n
Where x = number of success
n = number of samples
For district C,
x = 22
n1 = 100
p1 = 22/100 = 0.22
For district M,
x = 26
n2 = 100
p2 = 26/100 = 0.26
Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, the z score for the confidence level of 95% is 1.96
Margin of error = 1.96 × √[0.22(1 - 0.22)/100 + 0.26(1 - 0.26)/100]
= 1.96 × √0.00364
= 0.12
Confidence interval = (0.22 - 0.26) ± 0.12
= - 0.04 ± 0.12
The required 95 percent confidence interval for the difference is ( 0.8, 0.16).
Given that,
A random sample of 100 voters in District C, 22 percent responded yes to The question "Are you in favor of an increase in state spending on the arts?"
An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question.
We have to determine,
A 95 percent confidence interval for the difference.
According to the question,
A random sample of 100 voters in District C, 22 percent responded yes to The question "Are you in favor of an increase in state spending on the arts?"
An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question.
Confidence interval for the difference in the two proportions is written as,
Difference in sample proportions ± margin of error
Sample proportion, p= x/n
Where x = number of success
n = number of samples
From a random sample of 100 voters in District C,
\(x = 22\\\\n_1= 100\\\\p_1 = \dfrac{22}{100} = 0.22\)
From a random sample of 100 voters in District M,
\(x = 26\\\\n_1= 100\\\\p_1 = \dfrac{26}{100} = 0.26\)
Therefore,
\(Margin \ of \ error = \sqrt{\dfrac{p_1(1-p_1}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}\)
To determine the z score, subtract the confidence level from 100% to get b
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since, the area in the middle, it becomes
1 - 0.025 = 0.975
The z-score corresponding to the area on the z table is 1.96. Thus, the z score for the confidence level of 95% is 1.96,
\(Margin \ of \ error = \sqrt{\dfrac{0.22(1-0.22)}{100} + \dfrac{0.26(1-0.26)}{100}}\)
\(= \sqrt{\dfrac{0.22(0.78)}{100} +\dfrac{0.26(0.76)}{100}}\\\\= \sqrt{\dfrac{0.17}{100}+ \dfrac{0.19}{100}}\\\\= \sqrt{\dfrac{0.36}{100}}\\\\= \sqrt{0.0036}\\\\= 0.06\)
Then, Confidence interval is given as;
\((0.22 - 0.26) \pm 0.12\\\\(-0.4) \pm 0.12\\\\(-0.4+0.12 , -0.4-0.12)\\\\(0.8, 0.16)\)
Hence, The required 95 percent confidence interval for the difference is( 0.8, 0.16)
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What’s the answer please help me no links at all if you do I will report
Answer: 78
Step-by-step explanation:
Fill in the blank with the correct answer choice. A ___________ has exactly one pair of parallel lines. a. square c. trapezoid b. parallelogram d. rectangle Please select the best answer from the choices provided A B C D
Answer: C
Step-by-step explanation:
The rest of the quadrilaterals provided have 2 pairs of parallel lines.
The choice is:
CExplanation:
The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.
Here's what a trapezoid looks like :
\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)
Hence, this makes C the correct choice.The school cafeteria sells three different types of sandwiches: chicken, turkey, and roast beef.
Chicken sandwiches sell for $3, turkey sandwiches sell for $3.50, and roast beef sandwiches sell for $4. The cafeteria makes 500 sandwiches in total, and, if all sandwiches are sold, the cafeteria will take in $1730. If the cafeteria makes the same number of chicken sandwiches as it does turkey sandwiches, how many of each type of sandwich does the school make? Show your work using any method you prefer.
By using a system οf equatiοns, the schοοl makes 180 chicken sandwiches, 180 turkey sandwiches, and 140 rοast beef sandwiches.
What is a system οf equatiοns?A system οf equatiοns is a set οf twο οr mοre equatiοns that need tο be sοlved tοgether tο find the values οf the variables that satisfy all οf the equatiοns.
Let's use a system οf equatiοns tο sοlve the prοblem.
Let c be the number οf chicken sandwiches sοld, t be the number οf turkey sandwiches sοld, and r be the number οf rοast beef sandwiches sοld.
Frοm the prοblem, we knοw that:
c + t + r = 500 (the tοtal number οf sandwiches sοld is 500)
3c + 3.5t + 4r = 1730 (the tοtal revenue frοm selling all sandwiches is $1730)
We alsο knοw that the cafeteria makes the same number οf chicken sandwiches as it dοes turkey sandwiches, sο: c = t
Nοw we can substitute c fοr t in the first twο equatiοns:
c + c + r = 500
3c + 3.5c + 4r = 1730
Simplifying these equatiοns, we get:
2c + r = 500
6.5c + 4r = 1730
We can sοlve fοr r in the first equatiοn:
r = 500 - 2c
Substituting this intο the secοnd equatiοn and sοlving fοr c, we get:
6.5c + 4(500 - 2c) = 1730
6.5c + 2000 - 8c = 1730
-1.5c = -270
c = 180
Sο the cafeteria sells 180 chicken sandwiches and 180 turkey sandwiches (since c = t). We can find the number οf rοast beef sandwiches by substituting c and t intο οne οf the οriginal equatiοns:
c + t + r = 500
180 + 180 + r = 500
r = 140
Therefοre, the schοοl makes 180 chicken sandwiches, 180 turkey sandwiches, and 140 rοast beef sandwiches.
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How do I find the value of x?
Let register x5 hold the hex number 01a74cd0hex and let x6 hold the hex number 00467b44 hex. If this information is enough, then answer the following three questions, else explain what extra information you may need to proceed.a) (1.5 pts) What are the contents of register x31 after the following instruction is executed? addi x31, x5, 32
b) (1.5pts) What would be the contents of register x28 after the following instruction is executed? add x28, x5, x6
c) (1.5 pts) What would be the contents of register x29 after the following instruction is executed? ld x29, 1056decimal (x30)
d) (1.5 pts) What would be the contents of register x29 after the following instruction is executed? sd x28, 16 decimal (x29)
a) The contents of register x31 after the following instruction is executed? addi x31, x5, 32 is 277968880 decimal.
b) The contents of register x28 after the following instruction is executed is 278427652 decimal.
c)The contents of register x29 after the following instruction is executed is 1056 decimal
d) The contents of register x29 after the following instruction is executed is 278427652 decimal
In computer architecture, registers are special storage locations within the CPU that hold data temporarily. These registers can hold values in binary, decimal, or hexadecimal formats. In this scenario, we have two registers x5 and x6, holding hexadecimal values. We will use these values to answer the given questions about register manipulation.
a) To determine the contents of register x31 after the instruction "addi x31, x5, 32", we need to add 32 to the value in x5 and store the result in x31. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 in decimal. Adding 32 to this value, we get 277968880 decimal. Therefore, the contents of register x31 after the instruction is executed would be 277968880 decimal.
b) To determine the contents of register x28 after the instruction "add x28, x5, x6", we need to add the values in x5 and x6 and store the result in x28. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 decimal. The value in x6 is 00467b44hex, which is equivalent to 458804 decimal. Adding these two values, we get 278427652 decimal. Therefore, the contents of register x28 after the instruction is executed would be 278427652 decimal.
c) To determine the contents of register x29 after the instruction "ld x29, 1056decimal (x30)", we need to load the value at memory location 1056decimal + the value in register x30 into register x29. The value in register x30 is not given in this scenario, so we cannot determine the contents of register x29.
d) To determine the contents of register x29 after the instruction "sd x28, 16 decimal (x29)", we need to store the value in register x28 at memory location 16 decimal + the value in register x29. The contents of register x28 is 278427652 decimal
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ms. smith sharpened 135 pencils. her students used 88 of them how many sharpened pencils does Ms. smith have left.
Answer: 47
Step-by-step explanation:
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)