Answer:
it must be C because it has a better explanation
what is the area and perimeter of a rectangle that has base of 18 inches and height of 5 inches
Answer:
area is 90 and perimeter is 46
Step-by-step explanation:
the area for a rectangle is l * w, so 18*5 is 90, and the perimeter is 2l+2w, which is 46.
Answer:
Area 90
perimeter 46
Step-by-step explanation:
To find area, you multiply both sides.
to find perimeter, you add up all the sides. Make sure to double each number.
The Inequalities a ≤ x < b is equivalent to
A.(a,b)
B.[a,b)
C.[a,b]
D.(a,b]
The correct equivalent interval notation for the inequality "a ≤ x < b" is [a, b). The inequality "a ≤ x < b" represents a range of values for x where x is greater than or equal to a but less than b.
To express this range in interval notation, we have several options:
A. (a, b): This notation represents an open interval, indicating that the values of x are greater than a and less than b. However, the inequality "a ≤ x < b" includes the possibility of x being equal to a, so this notation is not appropriate.
B. [a, b): This notation represents a closed-open interval, indicating that the values of x are greater than or equal to a and less than b. This matches the given inequality, so [a, b) is the correct interval notation for "a ≤ x < b".
C. [a, b]: This notation represents a closed interval, indicating that the values of x are greater than or equal to a and less than or equal to b. However, the inequality "a ≤ x < b" specifies that x must be strictly less than b, so this notation is not correct.
D. (a, b]: This notation represents an open-closed interval, indicating that the values of x are greater than a and less than or equal to b. Since the inequality "a ≤ x < b" does not include the possibility of x being equal to b, this notation is not accurate.
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Emmett has $90,000 in a savings account that earns 5% interest per year. The interest is
not compounded. How much interest will he earn in 4 months?
Answer:
$1500
Step-by-step explanation:
90000x.05=4500
4500/12=375
375x4=1500
The answer is$1500 Interest he will earn in 4 months
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
Answer:
19
Step-by-step explanation:
115+10P=305
305-115=190
190/10=19
A function is a relation where each input value is assigned to_____one output value
A. exactly
B. less than
C. at least
y=4/5x-1 (4 over 5x minus 1)
slope:
y-intercept:
Answer:
y=mx+b
In the above linear equation, m is always the slope and b is always the y-intercept.
slope: 4/5
y-intercept: -1
Answer:
Slope: 4/5
Y-intercept: (0,-1)
8) A dress normally sells for $35.85. How much does the dress cost after a 15% discount??
Answer:
$30.47
Step-by-step explanation:
100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps
A college offers a self-paced course in algebra. College officials are interested in the number of hours it takes students to meet the objectives of the course. In a sample of 45 students, the mean number of hours was 75.7 with a standard deviation of 55. Construct a 94% confidence interval for the mean number of hours it takes for a student to meet the course objectives. Critical value:
The 94% confidence interval for the mean number of hours it takes for a student to meet the course objectives is approximately (63.81, 87.59).
To construct a confidence interval for the mean number of hours it takes for a student to meet the course objectives, we can use the following formula:
Confidence interval = (sample mean) ± (critical value) * (standard deviation / sqrt(sample size))
We have:
Sample size (n) = 45
Sample mean (xbar) = 75.7
Standard deviation (σ) = 55
Confidence level = 94%
To obtain the critical value corresponding to a 94% confidence level, we need to determine the z-value.
The z-value represents the number of standard deviations from the mean that will give us the desired level of confidence.
We can find the z-value using a standard normal distribution table or a calculator.
The critical value for a 94% confidence level corresponds to a z-value of 1.8808 (rounded to four decimal places).
Now, we can calculate the confidence interval:
Confidence interval = (75.7) ± (1.8808) * (55 / sqrt(45))
Confidence interval = 75.7 ± 11.89
The lower bound of the confidence interval is 75.7 - 11.89 = 63.81.
The upper bound of the confidence interval is 75.7 + 11.89 = 87.59.
Therefore, the 94% confidence interval is approximately (63.81, 87.59).
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7. If BD = 7x-10, BC = 4x - 29, and CD = 5x - 9. find each value.
= 7x-10
B
.
D
C
x =
BC =
CD
BD =
If RRC
Step-by-step explanation:
given,
BD = 7x - 10
BC = 4x - 29
CD = 5x - 9
a/q
BC + CD = BD
so, after inserting the values we got,
4x - 29 + x - 9 = 7x - 10
→ 5x - 38 = 7x - 10
→ 5x - 7x = - 10 + 38
→ 2x = 28
→ x = 28/2 = 14
→ x = 14
therefore value of x is 14
according to the obtained value,
BD = 7x - 10 → 7(14) - 10 = 98 - 10 = 88
BC = 4x - 29 → 4(14) - 29 → 56 - 29 = 27
CD = 5x - 9 → 5(14) - 9 → 70 - 9 = 61
hope this answer helps you dear....take care and may u have a great day ahead!
verifying,
BC + CD = BD
→ 61 + 27 = 88
→ L.H.S = 61 + 27 = 88
so,
LHS = RHS
If the product of two numbers is equal to zero then at least one of the numbers must be zero
1.True
2.False
Answer:
True
Step-by-step explanation:
Answer:
True, because if we multiply any number with zero the product will still be zero.
need help asap. low geometry grade
Answer:
x=9.3
Step-by-step explanation:
use SohCahToa
in this case u use cos
cos(41°)=7/x
x=7/cos(41)
x=9.275090953
x=9.3
Ryan has 3 1/2 pints of milk. He uses 1 1/2 cups of milk to make Recipe A and 1 1/2
cups of milk to make Recipe B.
Answer: He will have ½ pints of milk left
Step-by-step explanation: 1½ + 1½ =3
3½-3=½
What is the value of 5k^-4 if k = -2?
Answer:
-0.3125
Step-by-step explanation:
5k^-4 when k = -2
~Substitute
5(-2)^-4
~Take the exponent
5(-0.0625)
~Multiply
-0.3125
Best of Luck
Construct a 95% confidence interval for the unknown population proportion, based on the given values of x and n: x= 78, n = 142 and fill in the blanks. We are confident that the population mean is between and 959%, 0.481, 0.618 6%, 0.481, 0.618 6%, 0.467, 0.631 95%, 0.467, 0.631
The 95% confidence interval for the population proportion in this problem is given as follows:
(0.467, 0.631).
This means that we are 95% confident that the population mean is between 0.467 and 0.631.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
The parameters for this problem are given as follows:
\(n = 142, \pi = \frac{78}{142} = 0.549\)
The lower bound of the interval is given as follows:
\(0.549 - 1.96\sqrt{\frac{0.549(0.451)}{142}} = 0.467\)
The upper bound of the interval is given as follows:
\(0.549 + 1.96\sqrt{\frac{0.549(0.451)}{142}} = 0.631\)
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Cari is searching online for airline tickets. Two weeks ago, the cost to fly from Hartford to Orlando was $225. Now the cost is $310. What is the percent increase? Responses 38% 38% 27% 27% 73% 73%
The percentage increase in the cost of the airline tickets is 38%.
What is the percentage increase?Percentage is the fraction of a number out of hundred. The sign that is used to represent percentages is %. Percentage is a measure of frequency. In order to convert a value to a percentage, multiply the value by 100.
in order to determine the percentage increase, multiply the fraction of the change in price and the initial price by 100.
Percentage increase = (change in price / initial price) 100
Change in price = new price - initial price = $310 - $225 = $85
Initial price = $225
($85 / $225) x 100 = 38%
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the questions are on the picture
Answer:
(i) x = 17 cm
(ii) 360 cm²
(iii) 14400 cm³
(iv) 4000 cm²
Step-by-step explanation:
You want the slant side length, end area, volume, and total surface area of an isosceles trapezoidal prism with end bases 16 cm and 32 cm and end height 15 cm. The length of the prism is 40 cm.
(i) Slant sideThe slant side of the base is the hypotenuse of a right triangle that has legs of 15 cm and (32 -16)/2 = 8 cm. You recognize these numbers as belonging to the {8, 15, 17} Pythagorean triple, so you know the slant side is 17 cm.
If you don't recognize that triple, you can figure the side length as ...
x = √(15² +8²) = √(225 +64) = √289
x = 17 . . . centimeters
(ii) End areaThe area of the end trapezoid is given by ...
A = 1/2(b1 +b2)h = 1/2(32 +16)(15) = 360 . . . cm²
The area of the end surface is 360 cm².
(iii) VolumeThe volume of the prism is given by ...
V = Bh
where B is the area of the base, and h is the length between bases.
V = (360 cm²)(40 cm) = 14400 cm³
The volume of the prism is 14400 cubic centimeters.
(iv) Surface areaThe total surface area is the sum of the areas of the two bases and the lateral area. The lateral area is the product of the perimeter of the base and the length of the prism.
total area = 2 · base area + lateral area
total area = 2 · 360 cm² + (32 + 17 + 16 + 17 cm)(40 cm)
total area = 720 cm² + 3280 cm² = 4000 cm²
The total surface area of the prism is 4000 square centimeters.
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What is the equation of the translated function, g(x), if f(x) = x2?
Answer:
Its D
Step-by-step explanation:
Just took the test and got a 96%
Answer:
d
Step-by-step explanation:
fart
Find the number of turns or bumps in the graph of the function f(x) = 7x3 - 14x2 + 2.
The number of turns or bumps in the graph of the function\(f(x)=7x^3-14x+2\) is 2.
What is function?
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.
f = {(a,b)| for all a ∈ A, b ∈ B}
Given,
\(f(x)=7x^3-14x+2\)
Answer has shown in the attached file.
Hence, The number of turns or bumps in the graph of the function\(f(x)=7x^3-14x+2\) is 2.
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If x=2 and y=5,evaluate the following expression: 20+2(3y−4x)
Answer:
34
Step-by-step explanation:
hope this helps :)
Answer:
34
Step-by-step explanation:
First, plug in numbers and then solve...
20+2(3x5 - 4x2)20+2(15-8)20+2x720+14=34Which of the following expressions has a ''x'' term with a coefficient of 1?
x² + 5x + 1
3x² - x - 4
5x² + x - 9
4x²- 7x + 1
Melinda has a goal of donating at least $300 to charity this year. Her mother and father each gave her $25 to help and she is selling ribbons for $5 each. What is the least number of ribbons Melinda must sell to reach her goal?
Answer:
50
Step-by-step explanation:
25x2=50
300-50=250
250/5=50
50 ribbons needed :) hope this helped
If a rectangular garden is 35 ft. by 40 ft., how many feet of fence are needed to enclose it?
Answer:
150 ft
Explanation:
The number of feet of fencing needed should cover the entire perimeter of the rectangular garden.
Now the perimeter of the rectangle is
\(40ft+40ft+35ft+35ft\)\(=150ft\)Hence, the 150 ft of fencing is required to enclose the rectangular garden,
Prove that the given quadrilateral is a square. show all the work
Answer:
A square is defined as a quadrilateral with 4 sides of the same length and 4 right angles. To verify the lengths of the sides, you can use the distance formula. To find the angles, you can use the slopes of the line segments and make sure sides that form an angle have opposite reciprocal slopes.
Step-by-step explanation:
First, find the coordinates of each point. You're provided with the scale and you can just count, but to make it easier, you can label the axes.
A: (0,8)
B: (6,6)
C: (4,0)
D: (-2,2)
The distance formula is used to find the distance between any two points on the coordinate form. Here it is:
d=sqrt((y2-y1)^2 + (x2-x1)^2)
d=distance, and (x1, y1) and (x2, y2) are the points.
Find the length of each side. I'll demonstrate with two sides, AB and BC.
AB: (x1,y1)=(0,8) and (x2,y2)=(6,6)
d=sqrt((6-8)^2 + (6-0)^2)
=sqrt((-2)^2 + 6^2)
=sqrt(4+36)
=sqrt(40)=2sqrt10
BC: (x1,y1)=(6,6) and (x2,y2)=(4,0)
d=sqrt((4-6)^2 + (0-6)^2)
=sqrt((-2)^2 + (-6)^2)
=sqrt(4+36)
=sqrt(40)=2sqrt10
Do the same thing with sides CD and AD, you'll see that they both also have a length of 2sqrt10 inches. (You don't really have to simplify, I just like to.)
To verify if the sides are perpendicular, you need to find the slopes of the sides and make sure that the product of the slopes of each pair of sides that form a vertex is -1. In other words, each pair of sides that form a vertex have to have opposite reciprocal slopes. I'll demonstrate with 2 vertecies, A and B.
To find the slope, you have to use the formula m=(y2-y1)/(x2-x1). m is the slope, and again, (x1, y1) and (x2, y2) are the points you're plugging in.
To find the measure of angle A, you need to find the slopes of sides AD and AB. (These are the sides that meet to form the angle.)
AD: (x1,y1)=(0,8) and (x2,y2)=(-2,2)
m = (2 - 8)/(-2 - 0)
= -6/-2
= 3
AB: (x1,y1)=(0,8) and (x2,y2)=(6,6)
m = (6 - 8)/(6 - 0)
= -2/6
= -1/3
So AD has a slope of 3 and AB has a slope of -1/3. Now you need to make sure they have a product of -1.
-1/3 * 3 = -1
So yes, it works! As I mentioned before, you can also think of them as opposite reciprocals.
The reciprocal of 3 is 1/3. The opposite of 1/3 is -1/3. So yes, the sides are perpendicular.
Let's do it again with angle B. We have to find the slope of BC now, since we already know the slope of AB.
BC: (x1,y1)=(6,6) and (x2,y2)=(4,0)
m = (0 - 6)/(4-6)
= -6/-2
=3
So the slope is exactly the same as the slope of AD. A square is a parallelogram, so it has two pairs of opposite parallel sides. We already verified that 3 and -1/3 are opposite reciprocals, so we now know that angle B has a measure of 90 degrees as well. You can do the same for angles C and D. That way, you'll have proven that all the sides have the same length and all the angles measure 90 degrees-- so the quadrilateral ABCD matches the definition of a square.
Hope this helped!
If a couple has three children, let x represent the number of girls. What is the probability that the couple does not have girls for all three children?
Assuming an equal probability of having a girl or a boy for each child, the probability that a couple does not have girls for all three children is 1/8 or approximately 0.125 (12.5%).
If we assume that the probability of having a girl or a boy for each child is equal (which is a simplifying assumption), then the probability of having a girl for each child is 1/2, and the probability of having a boy is also 1/2.
To find the probability that the couple does not have girls for all three children, we need to find the probability of having a boy for each child. Since the gender of each child is independent of the others, we can multiply the probabilities together.
So, the probability of having a boy for the first child is 1/2, for the second child is also 1/2, and for the third child is also 1/2.
Multiplying these probabilities together, we get:
(1/2) * (1/2) * (1/2) = 1/8
Therefore, the probability that the couple does not have girls for all three children is 1/8 or approximately 0.125 (12.5%).
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What is the slope of the line created by this equation?
Round your answer out to two decimal places.
9x+4y = 4
\(9x+4y=4\implies 4y=-9x+4\implies y=\cfrac{-9x+4}{4} \\\\\\ y=\cfrac{-9x}{4}+\cfrac{4}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{9}{4}}x+1\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
I need the answer for both questions btw its 1 problem I'll give you brainlist if you get it correct i need it asap
Answer:
1.) B (Real Numbers)
2.) A
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
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Answer:
I cannot see the picture
Step-by-step explanation:
Given parallelogram L M N O below, LP = 81 If PN = -7x-3 solve for x
Answer:-12x
Step-by-step explanation:
just trust me on this
ring-ring. *pick up phone* Hello, Einstein? I be needing some help.
Thank you.
Answer:
The one that you pick is correct
Evaluate the expression 4x² – 13y for x = 3 and y = 2.
Answer: 118
Step-by-step explanation: if x=4 then 4x3 to the 2nd power= 144. 13x2=26
144-26=118
Answer:
The answer is 10
Step-by-step explanation:
1. 4 x 3² - 13 x 2
2. 4 x 9 - 13 x 2
3. 4 x 9 - 26
4. 36 - 26 = 10
5. = 10