Answer:
16
Step-by-step explanation:
We could use the distance formula to find the distance between the points in this problem, but when we look we see that the sides of the rectangle are parallel to the x and y-axis for each pair of sides. The first two points have a distance of 3 because 4-1=3. Since it is a rectangle, the opposite side will have the same length. For the sides perpendicular, we look at the points with the same x coordinate. Using (4,2) and (4,-3), we can calculate the length of the side by finding the distance by adding the absolute values of the y coordinate. 2+3=5. This means that the triangle has two sides with a length of 5 and two sides with a length of 3. Adding these together, 5+5+3+3 = 16.
One side of Dylan's
square bedroom is 10
feet long
What is the
total perimeter of
Dylan's bedroom?
Answer:
40
Step-by-step explanation:
10+10+10+10 = 40
A square has 4 sides which is why you add 10, 4 times.
A metal with a specific heat of 0.780 J/g oC requires 940 J of heat to raise the temperature (the change in temperature) by 15 oC. What is the mass of the metal?
SOMEONE HELP PLEASE GIVING BRIANLEST THANK YOU
Step-by-step explanation:
Q = msdt
or, 940 = m* 0.780* 15
or, 940 = 11.7m
or, 940/11.7 = m
m = 80.341
Therefore the mass of the metal is 80.341g.
What is the equation of the line parallel to the line with equation y=2/3x +1 and passing through the point (6,-2)?
Step-by-step explanation:
y= (-2/3) x-6 is parallel to y= (-2/3)x +4 goes through the point (3,-8)
What is the result when the number 51 is decreased by 75%?
Answer:
12.75
Step-by-step explanation:
12.75
Answer:
24 percent
Step-by-step explanation:
Using the following expression. Are there any values of x that makes the expression undefined? Explain your reasoning.
Answer
x=-2
Step-by-step explanation:
If x was equaled to -2 the outcome would be infinity, does this help at all?
Answer:
Step-by-step explanation:
Yes, there are certain values of x that makes given expression undefined in the set of real numbers.
x + 2 ≤ 0 ⇒ x ≤ - 2
If x ∈ ( - ∞ , - 2 ] , given expression is undefined.
A simple random sample of 60 is drawn from a normally distributed population, and the mean is found to be 28, with a standard deviation of 5. which of the following values is within the 95% confidence interval (z-score = 1.96) for the population mean? remember, the margin of error, me, can be determined using the formula m e = startfraction z times s over startroot n endroot endfraction. the value of 26, because it’s not greater than 26.7 and less than 29.3. the value of 27, because it’s greater than 26.7 and less than 29.3. the value of 32, because it’s greater than 23 and less than 33. the value of 34, because it’s not greater than 23 and less than 33.
The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.
What is a confidence interval?In statistics, a confidence interval is a range to estimate for unknown terms.
The most common level is the 95% confidence interval.
It can be calculated by
CI = Mean ± margin of error.
α = 1 - 0.95 = 0.05
α/2 = 0.025
z(0.025) = 1.96
We need to find the [tex]\frac{\sigma}{\sqrt{n} }[/tex]
[tex]\frac{5}{\sqrt{60} }[/tex] = 0.645
So,
[tex]z \times \frac{\sigma}{\sqrt{n} }[/tex] = 1.96 × 0.645
CI =1.26
C.I= 28±1.2652
Upper limit = 28+1.2652
=29.2625
Lower limit =28-1.2652
=26.7348
Hence, The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.
Learn more about confidence intervals;
https://brainly.com/question/12899226
Answer:
B
Step-by-step explanation:
At school, Akihiro draws a model of the flag of Japan in the coordinate plane.
What is the perimeter of the flag Akihiro draws?
The perimeter of the flag Akihiro draws is the sum of the flag's side lengths
The perimeter of the flag Akihiro draws is 20 units
How to determine the perimeter of the flag?From the coordinate plane, the side lengths of the flag are:
6 units, 4 units, 6 units and 4 units
Add up the side lengths, to determine the perimeter (P)
P = 6 units + 4 units + 6 units + 4 units
Evaluate the sum
P = 20 units
Hence, the perimeter of the flag Akihiro draws is 20 units
Read more about perimeter at:
https://brainly.com/question/24571594
Answer:
20 units
Step-by-step explanation:
What is the answer elmo wants it
[tex]\bold{Heya!}[/tex]
→ Answer :-[tex]\sf{= 10}[/tex]
→ EXPLANATION :-Convert mixed numbers to imporved fractions: [tex]\sf{3 \frac{3}{4} = \frac{15}{4}[/tex]
[tex]\sf{= \frac{15}{4}[/tex] ÷ [tex]\sf{\frac{3}{8}[/tex]
Apply the fraction rule: [tex]\sf{\frac{a}{b}[/tex] ÷ [tex]\sf{\frac{c}{d} = \frac{a}{b} \: x \: \frac{d}c}[/tex]
[tex]\sf{= \frac{15}{4} \: x \: \frac{8}{3}[/tex]
Multiply fractions: [tex]\sf{\frac{a}{b} \: x \: \frac{c}{d} = \frac{a \: x \: c}{b \: x \: d}[/tex]
[tex]\sf{= \frac{15 \: x \: 8}{4 \: x \: 3}[/tex]
Multiply the numbers: [tex]\sf{ 4 \: x \: 3 = 12}[/tex]
[tex]\sf{= \frac{110}{12}[/tex]
Divide the numbers [tex]\sf{\frac{120}{12} = 10[/tex]
[tex]\sf{= 10}[/tex]
Hopefully This Helps! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
if a=6, evaluate the following expression:
10+a/4
Answer:
11.5
Step-by-step explanation:
10 + a / 4 if a = 6
10 + 6 / 4
10 + 1.5
11.5
I hope this helps! Have a lovely day!! :)
Answer:
23/2 or 11.5
Step-by-step explanation:
Simplify 6/4 --> 3/2
Convert 10 into a fraction --> 20/2
20/2 + 3/2 = 23/2
Select all the expressions that describe the area of this rectangle.
Answer:
a, c, d
Step-by-step explanation:
This is because there share the same answer:
12x + 6
hope this helps =)
help its for calculus
Answer:
the first one
Step-by-step explanation:
Answer:
its 1/sqrt{5}+2
original price $18 and percent of discount is 65% what is the sale price
Answer:
$6.3
Step-by-step explanation:
Original price = $18
Percentage Discount = 65%
Discount = 18*65% = 18*0.65 = $11.7
Sale Price = Original price - Discount
= $18 - $11.7
= $6.3
Find the value of x. 69 30.9 38.1
Answer:
x = 30.9
Step-by-step explanation:
[tex]x = \frac{1}{2} (138 - 76.2) = \frac{1}{2} (61.8) = 30.9[/tex]
A cell phone company charges $20 for a customer to open a new account and $35for each month of phone service.
Write a linear function to represent the total cost,y,a new customer would pay for x months of service
What is the measure of the third angle in a triangle if the sum of the other two angle measures is 110°?
Step-by-step explanation:
the third angle in a triangle= 70
Identify the x-intercept and the y-intercept of the graphs.
Answer:
1st picture:
y-intercept = -2
x-intercept = 3
2nd picture:
y-intercept = 1
x-intercept = 2
Step-by-step explanation:
y-intercept: the point where the graph intersects the y-axis.
x-intercept: the point where the graph intersects the y-axis.
1st picture:
y-intercept = -2
x-intercept = 3
2nd picture:
y-intercept = 1
x-intercept = 2
What is the last step in constructing an angle?
Connect the endpoint and the mark at the angle measure.
Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor
Draw a horizontal ray
Make a mark at the number of degrees you want the angle to be.
The last step to be carried out in a bid to construct an angle using a protractor is; Connect the endpoint and the mark at the angle measure.
How to construct an angleIn a bid to construct an angle by means of a protractor, it follows that a sequence of steps must be carried out. These steps are as ordered below;
Draw a horizontal rayPlace the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractorMake a mark at the number of degrees you want the angle to be.Connect the endpoint and the mark at the angle measure.Read more on angle construction;
https://brainly.com/question/8607612
Answer: For the last step you have to connect the endpoint and the mark
Step-by-step explanation:
A stainless steel patio heater is a square pyramid. The length of one side of the base is 19.8 in. The slant height of the pyramid is 93.8 in. What is the height of the pyramid?
Determine the equation of the circle graphed below.
10
-10 -8 -6
-4
-2
8
6
4
N
N
+
69
O
2
6
8 10
Answer:
[tex]\implies x^2+y^2-4x -6y+9=0[/tex]
Step-by-step explanation:
Circle is touching y-axis at point (0, 3) and is centered at (2, 3)
-> h = 2, k = 3 & r = 2 units (If a circle touches y -axis then x coordinate of the center will be it's radius)
Equation of circle in standard form is given as:
[tex](x-h)^2 +(y-k)^2 =r^2[/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex](x-2)^2 +(y-3)^2 =2^2[/tex]
[tex]\implies x^2-4x +4+y^2-6y+9=4[/tex]
[tex]\implies x^2+y^2-4x -6y+4+9=4[/tex]
[tex]\implies x^2+y^2-4x -6y+9=0[/tex]
This is the required equation of the circle.
If f(x) = 10x^3-37x^2+15x+18 and x-3 is a factor of f(x), then find all of the zeros of f(x) algebraiclly.
Answer:
x=6/5 and x=-(1/2)
Step-by-step explanation:
[tex]f(x) = 10x^3-37x^2+15x+18\\f(x) = \frac{(5x-6)(2x+1)(x-3)}{(x-3)}\\ f(x) = (5x-6)(2x+1)[/tex]
To find the zeros, we set f(x) = 0 for both factors
[tex]5x-6=0\\5x=6\\x=6/5[/tex]
[tex]2x+1=0\\2x=-1\\x=-1/2[/tex]
Therefore the zero's of f(x) are x = 6/5 and x= -(1/2)
what is 1/4x-6=-10 step by step please help me
Answer:
x = -16
Step-by-step explanation:
[tex]\frac{1}{4}x-6=-10 < ==add\ 6\ to\ both\ sides\\ \ \ \ \ \ \ \ \ +6 \ \ \ \ \ \ \ \ +6\\\\\frac{1}{4}x=-4 < ==multiply\ both\ sides\ by\ 4\\4(\frac{1}{4}x=-4)\\\\x=-16 < ==final\ answer[/tex]
Hope this helps!
Triangle XYZ is translated by the rule (x + 1, y − 1) and then dilated by a scale factor of 4 centered at the origin. Which statement describes the properties of triangles XYZ and X''Y''Z'' after the transformations?
A. Y and ∠Y'' are congruent after the translation, but not after the dilation.
B. ∠Y and ∠Y'' are congruent after the dilation, but not after the translation.
C. segment YZ and segment Y double prime Z double prime are proportional after the translation, but not after the dilation.
D. segment YZ and segment Y double prime Z double prime are proportional after the dilation and congruent after the translation.
The statement that described the triangle properties is that the segment YZ and segment Y"Z" should be proportional when the dilation is done and it should be congruent when the translation should be done.
Given that,
There is the rule i.e. (x +1, y - 1) and it should be dilated by a scale factor of 4 centered at the origin.Based on the above information,
The figure should be proportional as the angle and the points should be the same. And, when the translation is done the image should be congruent to the pre-imageTherefore we can conclude that option d is correct.
Learn more: https://brainly.com/question/25063346
PLEASE HELP ASAP!!
A savings account starts with $420. After 6 years of continuously compounding at an interest rate, r, the account has a balance of $1,300. What is the interest rate percentage (do not type % it is already there)? Round answer to the nearest hundredth.
Answer:
18.83% (nearest hundredth)
Step-by-step explanation:
Continuous Compounding Formula
[tex]\sf A=P(e)^{rt}[/tex]
where:
A = amountP = principal (initial amount)e = mathematical constant ≈ 2.7183r = interest rate (in decimal form)t = time in yearsGiven:
A = $1,300P = $420t = 6 yearsSubstituting given values into the formula:
[tex]\sf \implies 1300=420(e)^{6r}[/tex]
[tex]\sf \implies \dfrac{1300}{420}=e^{6r}[/tex]
[tex]\sf \implies e^{6r}=\dfrac{65}{21}[/tex]
Taking natural logs of both sides:
[tex]\sf \implies \ln e^{6r}=\ln \dfrac{65}{21}[/tex]
[tex]\sf \implies 6r\ln e=\ln \dfrac{65}{21}[/tex]
[tex]\sf \implies 6r(1)=\ln \dfrac{65}{21}[/tex]
[tex]\sf \implies 6r=\ln \dfrac{65}{21}[/tex]
[tex]\sf \implies r=\dfrac16 \ln \dfrac{65}{21}[/tex]
[tex]\sf \implies r=0.1883108054...[/tex]
Therefore, the interest rate is 18.83% (nearest hundredth)
can someone please help me with this question
Answer:
C. Students in language arts classes.
Step-by-step explanation:
Because out of all of the options, this one seems like it is the best time that they could get the students attention and get an acurate response.
Examine the following piecewise function.
Which statements are true?
Select all that apply.
1.The function is increasing over the interval 2≤x≤3.
2.The function is increasing over the interval −2≤x≤2.
3.The function is increasing over the interval −8≤x≤−2.
4.The function is decreasing over the interval 3≤x≤7.
5.The function is constant over the interval −2≤x≤2.
A piecewise function is a function that's simply built from pieces of different functions over several intervals.
What is a piecewise function?Your information is incomplete as the function isn't given. Therefore, an overview will be given. It should be noted that a piecewise function simply means a function that's defined by multiple sub functions.
In this case, each sub-function applies to different interval in the domain as it's way of expressing the function.
Learn more about piecewise function on:
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3. The principal wants to know if students at Meadows Senior High School are in favor of a new dress code at their
school. The principal is not able to ask the opinion of every student at the school, so she needs to select an
appropriate sample of the students to represent the high school. Select which sample of students the principal
should choose.
A. Students randomly selected from a list of all students at the school.
B. Students sitting at randomly selected tables in the library.
C. Students she selects from the hall way between classes.
D. Students selected by the teachers.
Answer:
(A)
Step-by-step explanation:
(D) is already out since the teachers may have favorites or unfavorites.
(C) is already out since you can't be in all the halls at once.
There is only (A) and (B).
I think it's (A) and not (B) because it might not be a classes/grades library day.
The radius of a circle is 11 miles. What is the circle's circumference?
Answer:
69
Step-by-step explanation:
The formula for a circumference with the radius is C=2πr=2·π·11≈69.11504mi.
Please someone help i dont understand
ill upload the rest in a second
Please help me
True or false?
I accidentally answered it but
ignore it just please help
Answer:
Step-by-step explanation:
You are correct in saying false
well, the cheap answer is, linear expressions have one variable and some coefficient in front of it, like 3x or 2y + 3, or (1/4)x - 15 or such, however, a LINEar expression when drawn, yields a LINE, not a curve or such, and that only happens if the variable's exponent is 1, not more than 1, if the variable's exponent is higher, then is a curve of kinds,
so such expressions like -13xy, which has the product of two variables, or 7y³ - 2 or 4x⁵ + 9, are curvy lines.
How do I do these problems?
Answer:
12) x= 21
13) x = 1
14) x = 9
15) x = 1
Step-by-step explanation:
Here, we are being asked to solve the given equations and check our work.
To check the work, we need to substitute the found value of x into the equation to check if it makes a true and correct statement.
12) Solve for x:
[tex]\sf 12)\ \dfrac{2}{3}x + 2 = 16\ \textsf{[subtract 2 from both sides]}\\\\\implies \dfrac{2}{3}x + 2 - 2 = 16 - 2\\\\\implies \dfrac{2}{3}x = 14\ \textsf{[multiply both sides by 3]}\\\\\implies 3\left(\dfrac{2}{3}\right)x = 14(3)\\\\\implies 2x = 42\ \textsf{[divide both sides by 2]}\\\\\implies \dfrac{2x}{2}=\dfrac{42}{2}\\\\\implies \boxed{\sf x = 21}[/tex]
Check your work:
[tex]\sf \dfrac{2}{3}x + 2 = 16\ \textsf{[substitute 21 for the value of x]}\\\\\implies \dfrac{2}{3}(21) + 2 = 16\ \textsf{[multiply]}\\\\\implies \dfrac{42}{3} + 2 = 16\ \textsf{[divide]}\\\\\implies 14 + 2 = 16\ \textsf{[add]}\\\\\implies 16 = 16\ \checkmark \textsf{[true statement]}[/tex]
13) Solve for x:
[tex]\sf 13)\ \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[multiply both sides by 6 - LCM of 2, 3, and 6]}\\\\\implies 6\left(\dfrac{x}{2} + \dfrac{x}{3}\right) = 6\left(\dfrac{5}{6}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{6x}{2} + \dfrac{6x}{3}\right) = \dfrac{30}{6}\ \textsf{[divide]}\\\\\implies 3x+2x=5\ \textsf{[combine like terms]}\\\\\implies 5x = 5\ \textsf{[divide both sides by 5]}\\\\\implies \dfrac{5x}{5}=\dfrac{5}{5}\\\\\implies \boxed{\sf x = 1}[/tex]
Check your work:
[tex]\sf \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \dfrac{1}{2} + \dfrac{1}{3} = \dfrac{5}{6}\ \textsf{[rewrite the fractions with a common denominator of 6]}\\\\\implies \dfrac{1\times3}{2\times3} + \dfrac{1\times2}{3\times2} = \dfrac{5}{6}\ \textsf{[multiply]}\\\\\implies \dfrac{3}{6} + \dfrac{2}{6} = \dfrac{5}{6}\ \textsf{[add]}\\\\\implies \dfrac{5}{6} = \dfrac{5}{6}\ \checkmark \ \textsf{[true statement]}[/tex]
14) Solve for x:
[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[multiply both sides by 24 - LCM of 6, 8, and 24]}\\\\\implies 24\left(\dfrac{x-1}{6} - \dfrac{x+1}{8}\right) = 24\left(\dfrac{1}{12}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{24x-24}{6}\right) - \left(\dfrac{24x+24}{8}\right) = \dfrac{24}{12}\ \textsf{[divide]}\\\\[/tex]
[tex]\sf\\\implies (4x-4)-(3x+3)=2\ \textsf{[distribute the negative sign]}\\\\\implies (4x-4)+(-3x-3)=2\ \textsf{[combine like terms]}\\\\\implies x - 7 = 2\ \textsf{[add 7 to both sides]}\\\\\implies x - 7 + 7 = 2 + 7\\\\\implies \boxed{\sf x = 9}[/tex]
Check your work:
[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[substitute 9 for the value of x]}\\\\\implies \dfrac{9-1}{6} - \dfrac{9+1}{8} = \dfrac{1}{12}\ \textsf{[simplify]}\\\\\implies \dfrac{8}{6} - \dfrac{10}{8} = \dfrac{1}{12}\ \textsf{[rewrite the fractions with a common denominator of 24]}\\\\\implies \dfrac{8\times4}{6\times4} - \dfrac{10\times3}{8\times3} = \dfrac{1\times2}{12\times2}\ \textsf{[simplify]}\\\\[/tex]
[tex]\sf\\\implies \dfrac{32}{24}-\dfrac{30}{24}=\dfrac{2}{24}\ \textsf{[subtract]}\\\\\implies \dfrac{2}{24}=\dfrac{2}{24}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{12}=\dfrac{1}{12}\ \checkmark\ \textsf{[true statement]}[/tex]
15) Solve for x:
[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[multiply both sides by 8 - LCM of 2, 4, and 8]}\\\\\implies 8\left(\dfrac{1}{4}+\dfrac{x+1}{8}\right)=8\left(\dfrac{1}{2}\right)\textsf{[multiply]}\\\\\implies \left(\dfrac{8}{4}+\dfrac{8x+8}{8}\right)=\dfrac{8}{2}\ \textsf{[divide]}\\\\\implies 2 + x + 1 = 4\ \textsf{[add]}\\\\\implies x + 3 = 4\ \textsf{[subtract 3 from both sides]}\\\\\implies x + 3 - 3 = 4 - 3\\\\\implies \boxed{\sf x = 1}[/tex]
Check your work:
[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1+1}{8}\right)=\dfrac{1}{2}\ \textsf{[simplify]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{2}{8}\right)=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1}{4}\right)=\dfrac{1}{2}\ \textsf{[add]}\\\\\implies \dfrac{2}{4}=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{2}=\dfrac{1}{2}\ \checkmark\ \textsf{[true statement]}[/tex]