Answer:
K = 17
Based on the given conditions, formulate:
51 / 3 = k
Swap the sides : k = 51 / 3
Cross out the common factor: k = 17
find the volume of a cuboid of length 8cm, width 9cm and height 4cm
Answer:
288 cm³
Step-by-step explanation:
cuboid formular: lengtg×width×height
Answer:
V = 288 cm³
Step-by-step explanation:
the volume (V) of a cuboid is calculated as
V = length × width × height
= 8 × 9 × 4
= 72 × 4
= 288 cm³
What is the simplified form of √100x³6?
O 10x¹8
O 10x6
50x18
O 50x6
Select the equivalent expression. (Please Help!!!)
(a/b^3)^4 = ?
Choose 1 answer:
A. a^8/b^8
B. a^4/b^12
C. a/b^81
D. a^5/b^7
Answer: B. a^4/b^12
Step-by-step explanation:
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{a}{b^{3} }\right)^{4} \end{gathered}$}[/tex]
Use the rules of exponents to simplify the expression.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{a^{1} }{b^{3}}\right)^{4} \end{gathered}$}[/tex]To raise the quotient of two numbers to a power, raise each power to the power and then divide it.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{(a^{1})^{4} }{(b^{3})^{4} } \end{gathered}$}[/tex]To raise a power to another power, multiply the exponents.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{a^{4} }{b^{3\times4} } \end{gathered}$}[/tex]Multiply 3 by 4.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \frac{a^{4} }{b^{12} } \end{gathered}$}}[/tex]We conclude that: the correct option is "B".
What is the slope of a line that passes through the point (3,-4) and has a y-intercept of -5
Answer:
1/3 = slope
Step-by-step explanation:
Start with
y = mx + b
b = -5 given , now sub in the given point to calculate m =slope
-4 = m(3) - 5 add 5 to both sides
1 = m(3) divide through by 3
1/3 = m = slope
A company produces light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in weeks
The total number of light bulbs the company will make in weeks 9.36 × 10² is 4.27 × [tex]10^{6}[/tex] bulbs.
What is productivity?Work completed in a certain length of time is referred to as productivity (power). One hour, one minute, or one second makes to a unit.
Calculation for the total number of bulbs produced in given week;
Number of bulbs produced per week = 4.56 × 10³
Now, estimate how many bulbs will be produced in 9.36 × 10² weeks.
To estimate how many light bulbs were created in the allotted period, we will simply multiply both values.
Number of light bulbs the company will make in 9.36 × 10² weeks is;
= 4.56 × 10³ × 9.36 × 10²
= 4.27 × [tex]10^{6}[/tex]
Therefore, the total number of bulbs produced in weeks 9.36 × 10² is 4.27 × [tex]10^{6}[/tex] bulbs.
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The complete question is -
A company produces 4.56*10^3 light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.36*10^2 weeks?
please help me 20 points
Add up the number of students within the random sample data:
32+26+28+22 = 108
We can then use proportional fractions / cross-multiply to answer the question.
In a sample size of 108 students, 32 of them preferred Movie A.
There are 900 students in total.
[tex]\frac{32}{108} =\frac{x}{900}[/tex]
32*900 = 28800
108*x = 108x
108x = 28800
x = [tex]266\frac{2}{3}[/tex] or [tex]\frac{800}{3}[/tex]
In decimal form that is approximately 266.667 and round that to the nearest whole number, you get 267 students who would prefer Movie A.
someone please help mee (will give brainliest 20 points!!!)
Step-by-step explanation:
the functional graph is the line.
a functional graph is always showing the direct relationship between a value on one coordinate axis with a value in the other coordinate axis
here it is between the price in dollars (as we can understand it : per unit) and the number of units sold.
clearly, the more units we sell, the cheaper we have to make the price per unit.
the question is how many units can be sold for a given price ($60).
so, I find the given price on the price axis (in this case the vertical axis), go then along that price all the way to the right until I hit the function line, and then go straight down to the unit axis and see what value I am hitting there : 80. which means 80,000 units.
so, I can sell 80,000 units for $60 per unit.
I dont understand:
let CAN be a right triangle with angle C being right angle, side c is 26 cm and side n is 6 cm determine the perimeter of the triangle CAN correct to one decimal enter numerical value only
maybe is my bad english but I dont get it someone can please help?
Using the Pythagorean Theorem, the perimeter of the triangle is of 58.7 cm.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
From your description, I will suppose that the legs are of 6 cm and 26 cm, hence the hypotenuse is:
[tex]h^2 = 6^2 + 26^2[/tex]
[tex]h = \sqrt{6^2 + 26^2}[/tex]
h = 26.7.
The perimeter is the sum of the lengths of the three sides, hence:
P = 26.7 + 26 + 6 = 58.7 cm.
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Which of the following is characterized by drawing the
boundaries of legislative districts in bizarre or unusual ways
to favor one party?
Select one:
O a. Gerrymandering
O b. Meandering
O c. Facilitating
Od. Snaking
We can actually deduce here that the following that is characterized by drawing the boundaries of legislative districts in bizarre or unusual ways to favor one party is: A. Gerrymandering.
What is gerrymandering?Gerrymandering is actually known to be characterized by the practice of setting electoral district boundaries in order to favour some specific political interest in some legislative bodies and district.
Gerrymandering usually leads to the creation of convoluted districts rather than compact areas. The gerrymandering is seen in the United States.
The word "gerrymandering" was actually coined when Massachusetts's redistricting maps of 1812 was reviewed by Governor Elbridge Gerry. This was done when it was noted that one of the districts resembled a salamander.
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please help with question!!
A. 6x²-2x+5, is the quotient of the polynomial.
The graph shown here is the graph of which of the following rational
functions?
Considering it's asymptotes, the rational function shown in the graph is:
C. [tex]F(x) = \frac{1}{(x + 2)(x - 1)}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.In this graph, there are vertical asymptotes at x = -2 and x = 1, hence the denominator of the function is:
(x + 2)(x - 1).
The horizontal asymptote is of y = 0, hence the function can be given by:
C. [tex]F(x) = \frac{1}{(x + 2)(x - 1)}[/tex]
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c LM on circle O has a measure of 40°.
Circle O is shown. Line segments L O and M O are radii. Sector L O M is shaded.
Which statements are true? Check all that apply.
The central angle measure created by the shaded region is 40°.
The central angle measure created by the shaded region is 20°.
The ratio of the measure of ∠LOM to the measure of the whole circle is One-ninth.
Circle O can be divided into a total of 9 sectors equal in area to sector LOM.
Circle O can be divided into a total of 10 sectors equal in area to sector LOM.
The statements that are true are;
The central angle measure created by the shaded region is 40°.
The ratio of the measure of ∠LOM to the measure of the whole circle is One-ninth.
Circle O can be divided into a total of 9 sectors equal in area to sector LOM.
What is the central angle?A central angle can be defined as an angle whose vertex is the center O of a circle and whose radii intersecting the circle in two distinct points
Note that;
The two radii are L O and MO
The measure of the angle is 40°
The sector is LOM
From the information given, it can be deduced that the 2 radii that forms the central angle is depicted by the shaded region which is said to have an angle of 40°. The sum of Circle O is one that can be shared into 9 equal sectors and that can be also equal in area to sector that is marked LOM
It can also be deduced that the circle can be divided into 9 equal sectors.
Thus, the statements that are true are;
The central angle measure created by the shaded region is 40°.
The ratio of the measure of ∠LOM to the measure of the whole circle is One-ninth.
Circle O can be divided into a total of 9 sectors equal in area to sector LOM.
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Answer: A,C,D
Step-by-step explanation:
Question 9 of 10
What is the solution to this equation?
x+12= -5
O A. x = 17
O B. x= -7
O C. x = 7
O D. x= -17
Answer:its b
Step-by-step explanation:
trust me its b
Make x the subject of the formula.
y = √x² +1
Answer: x = [tex]\sqrt{y^2 -1}[/tex]
Step-by-step explanation:
ILL GIVE BRAINLIEST
1 x/3 - 3/4= 5/12
solve for x
eli ate one-third of a pie on friday, one-fourth of the pie on saturday, and the final 50 ounces of the pie on sunday. how many ounces of pie did eli eat on saturday
If Eli ate one third of a pie on friday ,one fourth proportion of the pie on saturday and 50 ounces of the pie on sunday then it is found that she ate 30 ounces of pie.
Given that Eli ate one third of a pie on friday, one fourth of the pie on saturday, and final 50 ounces of the pie on sunday which is left out.
We have to find the amount of pie that she ate one saturday.
We are given fraction and we know that sum of all fractions of something is equal to 1.
Let the proportion that she ate on sunday be x.
1/3+1/4+x=1
Taking LCM.
(4+3+12x)/12=1
7+12x=12
12x=12-7
12x=5
x=5/12
So the left out out portion that she ate on sunday is 5/12 of the pie.
We are given that she ate 50 ounces on sunday so the total pie will be 12/5*50=120 ounces.
Portion eaten by Eli on saturday =1/4
Pie that she ate on saturday=1/4*120
=30 ounces.
Hence Eli ate 30 ounces of pie on saturday.
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On their website, a property management company states that the mean monthly rent for apartments on the east side of town is $700. A researcher for a consumer advocacy group believes that, due to the construction of newer apartment complexes in neighboring towns, the mean monthly rent on the east side, , is now lower. A random sample of 12 monthly rents for apartments on the east side has a mean of $687, with a standard deviation of $17. Assume that current monthly rents for apartments on the east side are approximately normally distributed. Based on the sample, is there enough evidence to conclude, at the 0.05 level of significance, that the population mean monthly rent is now less than what is stated on the website?
Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places.
(a) State the null hypothesis and the alternative hypothesis . (b) Determine the type of test statistic to use. (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Can we conclude that the mean monthly rent for apartments on the east side is less than what is stated on the website?
The null hypothesis is μ≥700 and alternative hypothesis is μ<700, the type of test statistic is t statistic, the statistical test value is -2.650, the critical value is -1.796 and the null hypothesis is reject.
Given the average monthly rent for apartments on the east side of the cities is $700, and the mean for a random sample of 12-month rents for apartments on the east side is $687, with a standard deviation of $17.
Statistical hypothesis testing is an important technique in inferential statistics. Used to test hypotheses about population parameters. Statistical tests are used to compute test statistics and p-values. Finally, use this test statistic and the p-value to make a decision about rejecting the null hypothesis.
(a) Let μ be the population and monthly rent. the null and alternative hypotheses are given below.
Null Hypothesis: μ≥700
Alternative hypothesis: μ< 700 This is a left-sided hypothesis test.
(b) Here, the sample size is less than 30 and the population mean is unknown. Therefore, a one-sample t-test can be used here. Therefore, the t statistic is the test statistic.
(c) Given [tex]\bar{x}[/tex]=687, s=17 and n=12, the test statistic is computed as
[tex]\begin{aligned}t&=\frac{\bar{x}-\mu_{0}}{s/\sqrt{n}}\\ &=\frac{687-700}{17/\sqrt{12}}\\ &=-2.64901888216\\ &=-2.650\end[/tex]
(d) For n-1=12-1=11 degrees of freedom
The critical value for a significance level of 0.05 with 11 degrees of freedom is
[tex]\begin{aligned}t_{crit}&=-1.7959\\ &=-1.796\end[/tex]
(e) Reject the null hypothesis because the statistical test value (-2.650) is less than the critical value (-1.796). There is ample evidence to support the claim that the average monthly rent for East Side apartments is lower than stated on the website.
Hence, The value of test statistic and critical value has a mean of $687 and a standard deviation of $17, which are -2.650 and -1.796.
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For the following sample, calculate ss. then, compute the sample variance and standard deviation. scores: 5, 2, 2, 7, 9
The sample standard deviation is 7.6 and the sample variance is 2.76.
for the scores 5, 2, 2, 7, 9.
According to the question,
Sample size n = 5
Sample Mean = [5+2+2+7+9]/5
= 5
Formula for sample standard deviation = (x-mean)²/n
= [(5-5)²+(2-5)²+(2-5)²+(7-5)²+(9-5)²]/5
= [0+9+9+4+16]/5
= 38/5
= 7.6
Formula for sample variance = √sample standard deviation
=√7.6
=2.76.
Hence, the sample standard deviation is 7.6 and the sample variance is 2.76.
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Which graph shows the system
x²+y=2
x²+y²=9?
Pls help with b
The diameters of two circular pulleys are 6cm and 12 cm, and their centres
are 10cm apart.
a. Angle a = 72.54 degrees
b. Hence find, in centimetres correct to one decimal place, the length of a
taut belt around the two pulleys
What is the value of the rational expression
2x- 1
x+5
when x = 0?
Answer:
5
Step-by-step explanation
becasue 2x0=0 and 1x0=0
and when you add 5 to 0 you get five
Six cards with the numbers 1 to 6 are randomly placed face down on a table. what is the probability that a card with a 4 is chosen?
Answer:
P(draw 4) = 1/6
Step-by-step explanation:
Six cards means: n(s) = 6
8.
P₁V₁ = P₂V₂
T₁ T₂
Rewrite this expression to find T₂.
Answer:
[tex]T_{2} = \frac{P_{2} V_{2} T_{1}} {P_{1} V_{1}}[/tex]
Step-by-step explanation:
The Combined Gas Law expression is:
P₁V₁ / T₁ = P₂V₂ / T₂
To solve for T₂, you need to.....
[tex]\frac{P_{1} V_{1} }{T_{1} } = \frac{P_{2} V_{2} }{T_{2} }[/tex] <------ Original expression
[tex]\frac{T_{2} P_{1} V_{1} }{T_{1} } = {P_{2} V_{2} }[/tex] <----- Multiply both sides by T₂
[tex]{T_{2} P_{1} V_{1} } = {P_{2} V_{2} T_{1}}[/tex] <----- Multiply both sides by T₁
[tex]T_{2} = \frac{P_{2} V_{2} T_{1}} {P_{1} V_{1}}[/tex] <----- Divide both sides by P₁V₁
Twenty-three teenagers attended a church camp. This was eleven less than twice the number that attended last year. How many attended last year?
Answer: 17 campers attended last year
Step-by-step explanation:
Let x be the number that attended last year.
The number of campers this year (23) is equal to 2 times the number of last year (x), minus 11.
23 = 2x – 11
23 + 11 = 2x
34 = 2x
34/2 = x
17 = x
Joey hid them in bunches of 24 and in all he hid 503 bunches how many did he hide in all
Lena knows the following information about her box of 181818 candies:
10 candies contain both chocolate and caramel.3 candies contain neither chocolate nor caramel.12 candies in total contain chocolate. Can you help Lena organize the results into a two-way frequency table?
See below for the organized result in a two-way frequency table
How to organize the results?The given parameters are:
Candies = 18
Chocolate and Caramel = 10
None = 3
Chocolate = 12
Using the above parameters, we have the following rows and columns:
Chocolate
Present Absent Total
Caramel Present
Absent
Total
Next, we populate the table as follows:
Chocolate
Present Absent Total
Caramel Present 10 3
Absent
Total 12
The total number of candies is 18.
So, we have:
Chocolate
Present Absent Total
Caramel Present 10 3 13
Absent
Total 12 6 18
Subtract the cells from the column total
Chocolate
Present Absent Total
Caramel Present 10 3 13
Absent 2 3 5
Total 12 6 18
The above represents the organized result
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Instructions: Find the length of the missing sides. Round your
answers to the nearest tenth. (Hint: Always make sure to label
your triangle first with your reference angle)
Degree 54
Hypotenuse 24
How do i find x and y?
The values of x and y are 19 and 14 respectively.
How to determine the lengthGiven the hypotenuse = 24
Opposite = x
Adjacent = y
Let's use the sine ratio to find the opposite side
sin of angle = opposite/hypotenuse
sin 54 = x/24
Cross multiplysin 54 × 24 ,= x
x = 19.42
x = 19
To find the adjacent side, we use cosine ratio
cos = adjacent/hypotenuse
cos 54 = y/25
Cross multiply
cos 54 × 24 = y
y = 14
Thus, the values of x and y are 19 and 14 respectively.
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Of the water lilies in the pond, 43% of them are yellow. The others are white.
A frog randomly jumps onto a lily.
round to the nearest hundredth place
Find the probability of the complement of the frog landing on a yellow lily.
Answer:
The probability of the frog landing on a complement of yellow lily is 0.57
Step-by-step explanation:
PLANTS Of the water lilies in the pond, 43% are yellow. The others are white.
It is given that 43% of plants are lilies it means the probability of a frog randomly jumping onto a lily is:
the probability of the frog landing on a complement of yellow lily is 0.57
Convert each rate using dimensional analysis. round to the nearest tenth, if necessary. 4.5 qt / min = ____ gal / h a. 67.5 c. 56.3 b. 33.8 d. 65
Option a is correct.
What is dimension analysis?
Dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities and units of measure and tracking these dimensions as calculations or comparisons are performed.
We can convert qt/min to gal/h as shown below:
1 qt = 0.25 gallon
1 min = 1/60 hour
4.5 qt/min = (4.5*0.25)/ (1/60) gal/h
= 4.5*0.25*60 gal/h
= 67.5 gal/h
Hence option a is correct.
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Select the correct vectors.
A ship moves through the water at 30 miles/hour at an angle of 30° south of east. The water is moving 5 miles/hour at an angle of 20° east of north. Identify the ship's vector, the water current's vector, and the vector representing the ship's actual motion.
Please select the correct answers from the image, thanks and godbless!
In the case above, the correct vectors are:
<25.98, -15>. <1.71, 4.7>.What is the ship vector about?The solution for the Ship's vector are:
Note that the Horizontal aspect = 30 cos 30
= 25.98.
For the Vertical aspect = 30 sin(-30)
= -15.
Hence it will be <25.98, -15>.
In regards to the current's vector:
The Horizontal aspect= 5 sin 20
= 1.71.
The Vertical aspect = 5 cos 20
= 4.7.
Hence it will be <1.71, 4.7>.
Therefore, In the case above, the correct vectors are:
<25.98, -15>. <1.71, 4.7>.Learn more about vectors from
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