Work Shown:
A = P*(1+r/n)^(n*t) .... compound interest formula
A = 200(1+0.07/1)^(1*5) .... plug in given info
A = 200*(1.07)^5
A = 200*1.4025517307
A = 280.51034614
A = 280.51
Listed below are the measured radiation absorption rates (in W/kg) corresponding to 11 cell phones. Use the given data to construct a boxplot and identify the 5-number summary.
1.26 0.98 1.07 0.97 1.28 0.89 1.14 0.58 1.42 0.59 0.96
Answer:
Five-number summary in ascending order: [tex] 0.58, 0.89, 0.98, 1.26, 1.42 [/tex]
Step-by-step Explanation:
The number summary, in ascending order, includes the minimum value, maximum value, median value, upper quartile and lower quartile.
To find each of the above values, first, order the data set in ascending order. Our values given, when ordered, would be:
0.58, 0.59, 0.89, 0.96, 0.97,| 0.98|, 1.07, 1.14, 1.26, 1.28, 1.42
1.The minimum value (the least value or lower value in the given data set).
From the ordered data set, minimum value = 0.58
2. The maximum value is the highest value in the data set = 1.42
3. Median value is the middle value of the data set. The middle value is the 6th value = 0.98.
The median value divides the data set into lower and upper region, as shown below.
0.58, 0.59, 0.89, 0.96, 0.97,|0.98|, 1.07, 1.14, 1.26, 1.28, 1.42
4. Lower Quartile (Q2) is the middle value of the lower region = 0.89, as shown below,
0.58, 0.59, [0.89], 0.96, 0.97,|0.98|, 1.07, 1.14, 1.26, 1.28, 1.42
5. Upper Quartile (Q3) is the middle value of the upper region = 1.26, as shown below.
0.58, 0.59, 0.89, 0.96, 0.97,|0.98|, 1.07, 1.14, [1.26], 1.28, 1.42
: this is the middle value of lower region, after our median divides the data set into two.
0.58, 0.59, 0.89, 0.96, 0.97,|0.98|, 1.07, 1.14, 1.26, 1.28, 1.42
Therefore, the five-number summary in ascending order is as follows: [tex] 0.58, 0.89, 0.98, 1.26, 1.42 [/tex]
Min = 0.58
Q1 = 0.89
Median = 0.98
Q3 = 1.26
Max = 1.42
A box plot has been constructed using the five-number summary. Check the attachment below.
The min value is represented by the whisker that starts from your left and connects to the rectangular box.
The max value is indicated at the extreme end of the other whisker that you have from the end of the rectangular box to your far right.
The median value is indicated by the vertical line that divides the rectangular box into 2.
The lower quartile is indicated at the beginning of the rectangular box, while the upper quartile is located at the end of the rectangular box.
Determine the measure of the unknown variables
Answer:
27°Step-by-step explanation:
Let's create an equation:
[tex]5y = 135[/tex]
( Being vertically opposite angles)
Now, let's solve
Divide both sides of the equation by 5
[tex] \frac{5y}{5} = \frac{135}{5} [/tex]
Calculate
[tex] y = 27[/tex]
Hope this helps...
Best regards!!
Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integration.)
1. dy/dt = 35t^4
2. dy/dx = 5x^(5/7)
Answer:
1. Y= 7t^5 +C
2. Y= 35/12x^(12/7)+C
Step-by-step explanation:
The general solution will be determined by integrating the equations as the integration is a simple integration.
For dy/dt = 35t^4
The general solution y
= integral (35t^4)dt
The general solution y
=( 35/(4+1))*t^(4+1)
= 35/5t^5
= 7t^5 +C
To prove by differentiating the above.
Y= 7t^5 +C
Dy/Dt= (5*7)t^(5-1) +0
Dy/Dt= 35t^4
For dy/dx = 5x^(5/7)
Y=integral 5x^(5/7)Dx
Y= 5/(5/7 +1)*x^(5/7+1)
Y= 5/(12/7) *x^(12/7)
Y= 35/12x^(12/7)+C
To prove by differentiating
Y= 35/12x^(12/7)+C
Dy/Dx= (35/12)*(12/7) x^(12/7-1) +0
Dy/Dx=(35/7)x^(5/7)
Dy/Dx= 5x^(5/7)
Find the Surface area of the attached image and round answer to the nearest tenth, if necessary.
Answer:
150 m²
Step-by-step explanation:
area of triangle is 1/2(6)(9.5) = 28.5
there are 4 triangles
28.5 x 4 = 114
bottom is 6 x 6 = 36
114 + 36 = 150 m²
What is the answer need answer now !!!
Step-by-step explanation:
RD=BL
RE=BU
ED=UL
Please mark brainliest!!!
Which of the following proves ABC DEF?
A.
SAS
B.
SSS
C.
SSA
D.
ASA
Answer:
SAS
Step-by-step explanation:
SAS
two side 1 angle
if not that try SSA
Answer:
SAS
Step-by-step explanation:
We have two sides are equal and the angle between the two sides are equal so we can use the side angle side
Find the surface area of the attached figure and round your answer to the nearest tenth, if necessary.
Answer:
[tex] S.A = 246.6 in^2 [/tex]
Step-by-step explanation:
The figure given above is a square pyramid, having a square base and 4 triangular faces on the sides that are of the same dimensions.
Surface area of the square pyramid is given as: [tex] B.A + \frac{1}{2}*P*L [/tex]
Where,
B.A = Base Area of the pyramid = 9*9 = 81 in²
P = perimeter of the base = 4(9) = 36 in
L = slant height of pyramid = 9.2 in
Plug in the values into the given formula to find the surface area
[tex] S.A = 81 + \frac{1}{2}*36*9.2 [/tex]
[tex] = 81 + 18*9.2 [/tex]
[tex] = 81 + 165.6 [/tex]
[tex] S.A = 246.6 in^2 [/tex]
Which of the following graphs is described by the function below ?
Answer:
The point of interception of the graph and x axis are -2.366 and -0.634.
The only graph that satisfy this conditions is Graph A
Step-by-step explanation:
Given the equation;
[tex]y = 2x^2 + 6x + 3\\[/tex]
at y = 0
[tex]2x^2 + 6x + 3=0\\[/tex]
the roots of the quadratic equation (at y =0) can be calculated using the quadratic formula;
[tex]x = \frac{-b\pm \sqrt{b^2 -4ac}}{2a}[/tex]
Using the quadratic equation to solve for the roots;
[tex]x = \frac{-6\pm \sqrt{6^2 -4*2*3}}{2*2}\\x = \frac{-6\pm \sqrt{36 - 24}}{4}\\x = \frac{-6\pm \sqrt{12}}{4}\\so, we have \\x = -2.366\\or\\x = -0.634\\[/tex]
Therefore, the point of interception of the graph and x axis are -2.366 and -0.634.
The only graph that satisfy this conditions is Graph A
Anyone Willing To Hell Out?
Z=
37
39
51
the answer is 36.36 but the closest to it is 37
A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else. A random sample of 600 18-29 year-olds is obtained today. What is the probability that no more than 70% would prefer to start their own business?
Answer:
The probability that no more than 70% would prefer to start their own business is 0.1423.
Step-by-step explanation:
We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.
Let [tex]\hat p[/tex] = sample proportion of people who prefer to start their own business
The z-score probability distribution for the sample proportion is given by;
Z = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, p = population proportion who would prefer to start their own business = 72%
n = sample of 18-29 year-olds = 600
Now, the probability that no more than 70% would prefer to start their own business is given by = P( [tex]\hat p[/tex] [tex]\leq[/tex] 70%)
P( [tex]\hat p[/tex] [tex]\leq[/tex] 70%) = P( [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] [tex]\leq[/tex] [tex]\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }[/tex] ) = P(Z [tex]\leq[/tex] -1.07) = 1 - P(Z < 1.07)
= 1 - 0.8577 = 0.1423
The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.
A sample of 55 chewable vitamin tablets have a sample mean of 249 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin C per tablet differs from 248 milligrams. State the appropriate null and alternate hypotheses.
Answer:
Step-by-step explanation:
The null hypothesis is mostly of the time the default hypothesis while the alternative hypothesis is the opposite of the null hypothesis and always tested against the null.
In this case study, the null hypothesis is: mean mass of vitamin c tab = to 248 milligrams
The alternative hypothesis is: mean mass of vitamin c tab =/ 248 milligrams
Determine whether each of the following functions is even, odd, or neither even nor odd.
(a) f(x) = 1 + 3x 2 − x 4
(b) ????(????) = ???? ???? ????+�
Answer:
A.) Even.
Step-by-step explanation:
If a function is an even function, then
F(-x) = f(x)
Also, if a function is an odd function, then, f(-x) = -f(x)
You are given the below function
f(x) = 1 + 3x^2 − x^4
Let x = 2
Substitute 2 for x in the function
F(x) = 1 + 3(2)^2 - (2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Also, Substitute -2 for x in the function
F(x) = 1 + 3(-2)^2 - (-2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Since f(-x) = f(x), we can conclude that
F(x) = 1 + 3x^2 - x^4 is even
In the triangle below, what is the length of the hypotenuse?
A. \|3
B. 3\|3
C. 6
D. 3\|2
Answer:
C
Step-by-step explanation:
So you can use the 30, 60, 90 degree triangle ratio of x: 2x: x√3
The 3 is the x, and the hypotenuse is the 2x, so it's 6
Answer:
C. 6
Step-by-step explanation:
I just finished the test and I got 100 percent
The mean breaking strength of yarn used in manufacturing drapery material is required to be at least 100 psi. Past experience has indicated that the standard deviation of breaking strength is 2.6 psi. A random sample of 9 specimens is tested, and the average breaking strength is found to be 100.6 psi. Test the hypothesis that the mean breaking strength is larger than 100 psi by setting up the null and alternative hypotheses. Use alpha = .05.
a) What is the numerical value of your test statistic, z0?
b) What is the p-value resulting from the test of Part A? Answer to three decimal places.
c) What is the probability of Type II error for the hypothesis test of Part A if the true population mean is 101.3 psi? Answer to three decimal places
Answer:
Step-by-step explanation:
Given that:
Mean μ= 100
standard deviation σ = 2.6
sample size n = 9
sample mean X = 100.6
The null hypothesis and the alternative hypothesis can be computed as follows:
[tex]H_o : \mu \leq 100[/tex]
[tex]H_1 :\mu > 100[/tex]
The numerical value for the test statistics is :
[tex]z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \dfrac{100.6- 100}{\dfrac{2.6}{\sqrt{9}}}[/tex]
[tex]z = \dfrac{0.6}{0.8667}[/tex]
z = 0.6923
At ∝ = 0.05
[tex]t_{\alpha/2 } = 0.025[/tex]
The critical value for the z score = 0.2443
From the z table, area under the curve, the corresponding value which is less than the significant level of 0.05 is 1.64
P- value = 0.244
c> If the true population mean is 101.3 ;
Then:
[tex]z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \dfrac{101.3- 100.6}{\dfrac{2.6}{\sqrt{9}}}[/tex]
[tex]z = \dfrac{0.7}{0.8667}[/tex]
z = 0.808
From the normal z tables
P value = 0.2096
A hemoglobin test measures 29 grams of hgb per 200 milimiters of blood. If the patient has 11 quarts of blood in her body, how many grams of Hgb are present
Answer:
[tex] 11 quarts *\frac{946.353 ml}{1 quarter}= 10409.883 ml[/tex]
And for this case we can create the following proportion rule:
[tex]\frac{29 gr}{200 ml} =\frac{x}{10409.883 ml}[/tex]
And solving for x we got:
[tex] x= 10409.883 ml *\frac{29 gr}{200ml}= 1509.433 gr[/tex]
Step-by-step explanation:
For this problem we know that A hemoglobin test measures 29 grams of hgb per 200 milimiters of blood. and we want to know how many grams of Hgb are present in 11 quarts
First we need to convert the quarts to ml and we have:
[tex] 11 quarts *\frac{946.353 ml}{1 quarter}= 10409.883 ml[/tex]
And for this case we can create the following proportion rule:
[tex]\frac{29 gr}{200 ml} =\frac{x}{10409.883 ml}[/tex]
And solving for x we got:
[tex] x= 10409.883 ml *\frac{29 gr}{200ml}= 1509.433 gr[/tex]
21% of deaths among male adults can be attributed to heart diseases. Is this percentage different among residents in Sonoma County? State the Null and Alternative hypothses
Answer:
Step-by-step explanation:
The null hypothesis is usually the default statement while the alternative hypothesis is its opposite and usually tested against the null hypothesis.
In this case study, the null hypothesis is u = 21%/0.21, the percentage is not different among residents in Sonoma County and is equal to 0.21.
While the alternative hypothesis is u =/ 0.21, the percentage is different among residents in Sonoma County; not equal to 0.21
jake buys a new car for $18,259. each year x after he buys the car, its value y depreciates by $445. which equation models the relationship between x and y?
A. y=445x + 18,259
B. y= -445x + 18,259
C. y= 445x - 18,259
D. y= -445x - 18,259
Answer:
B
Step-by-step explanation:
It can't be A because of the fact that by multiplying 445 by "x" you'll get a higher, postitive number. Meaning that if adding that positive number, you'll get something higher than 18,259. Which isn't our goal. In addition, the key word is "depreciates" which is another word for subtracting. However, that only applies in some circumstances. It can't be D either since you're basically adding a negative number by another negative number. However, "18,259" has to be a positive in this problem. By that you can also eliminate C as well. Meaning that B would be the correct answer.
Why 200/3 doesn’t work
Answer:
it does work
i think u mean why is it not whole
but it is not a whole number
Step-by-step explanation:
200/3=66.6(6 is repeating)
for example if u have 200 chocolates and u give them to 3 people
everyone will have 66
and u will have 2 left
2/3 is also 0.66(6 repeating)
66+0.66(6repeating)
=66.66(6repeating0
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
-ZYLYNN JADE ARDENNE
Answer:
Step-by-step explanation:
it does not work as a whole number.
but it does work in simple division with fraction.
200 / 3 = 66 and [tex]\frac{2}{3}[/tex]
You deposit $4000 in an account earning 4% interest compounded monthly. How much will you have in the account in 5
years?
Answer:
$4,866.61
Step-by-step explanation:
Using the formular, A = P(1 + R/100)^n
Where, A = Amount; P = Principal; n = Time(year) and R = Rate
Hence, A = $4000(1 + 4/100)^5 = $4,866.61
Amount = Principal + Compound Interest
∴ Compund Interest = Amount - Principal = $(4,866.61 - 4,000) = $866.61
W varies inversely as the square root of x when x=4 w=4 find when x=25
Answer:
8/5
Step-by-step explanation:
w = k / √x
4 = k / √4
k = 8
w = 8 / √x
w = 8 / √25
w = 8/5
Instructions
Chart of Accounts
Starting Question
Joumal
Instructions
Flush Mate Co. wholesales bathroom fixtures. During the current fiscal year, Flush Mate Co. received the following notes:
Date
Face Amount
Interest Rate
Term
1.
Mar. 6
$80,000
5%
45 days
2.
Apr. 23
24,000
9
60 days
3.
July 20
42,000
6
120 days
4
Sept. 6
54,000
7
90 days
5.
Nov. 29
27,000
6.
60 days
6
Dec. 30
72,000
5
30 days
Required:
1. Determine for each note (a) the due date and (b) the amount of interest due at maturity, identifying each note by number. Assume a 360-day
Answer:
Note Due Date Interest due at Maturity
1 Mar 6 $500
2 Apr 23 $360
3 July 20 $840
4 Sept 6 $945
5 Nov 29 $270
6 Dec 30 $300
Step-by-step explanation:
Calculation to Determine the due date and the amount of interest due at maturity for Flush Mate Co.
Using this formula to Calculate for the amount of interest due at maturity.
Interest due at Maturity= [Face amount * Numbers of days to maturity / 360 * Interest rate]
Note, Due Date, Face Amount, No of days to maturity, Interest rate, Interest due at Maturity
1 Mar 6 80,000× 45/360 ×5% =$500
2 Apr 23 24,000 × 60/360 ×9% =$360
3 July 20 42,000×120/360 ×6% =$840
4 Sept 6 54,000× 90/360 ×7% =$945
5 Nov 29 27,000× 60/360 ×6% =$270
6 Dec 30 72,000× 30/360 ×5% =$300
Therefore the due date and the amount of interest due at maturity for Flush Mate Co are:
Note Due Date Interest due at Maturity
1 Mar 6 $500
2 Apr 23 $360
3 July 20 $840
4 Sept 6 $945
5 Nov 29 $270
6 Dec 30 $300
In a Gallup poll of 557 randomly selected adults, 284 said that they were underpaid. Construct a 95% confidence interval estimate for the proportion of adults who say they are underpaid.
Answer:
[tex]0.51 - 1.96 \sqrt{\frac{0.51(1-0.51)}{557}}=0.468[/tex]
[tex]0.51 + 1.96 \sqrt{\frac{0.56(1-0.56)}{1507}}=0.552[/tex]
And the 95% confidence interval would be given (0.468;0.552).
Step-by-step explanation:
The estimated proportion of people who say that were underpaid is given by:
[tex]\hat p=\frac{284}{557}=0.510[/tex]
The confidence interval would be given by this formula
[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
For the 95% confidence interval the value of [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2=0.025[/tex], with that value we can find the quantile required for the interval in the normal standard distribution.
[tex]z_{\alpha/2}=1.96[/tex]
And replacing into the confidence interval formula we got:
[tex]0.51 - 1.96 \sqrt{\frac{0.51(1-0.51)}{557}}=0.468[/tex]
[tex]0.51 + 1.96 \sqrt{\frac{0.56(1-0.56)}{1507}}=0.552[/tex]
And the 95% confidence interval would be given (0.468;0.552).
A cryptarithm is a math puzzle in which the digits in a simple equation are replaced with letters. Each digit is represented by only one letter, and each letter represents a different digit. So, for example, we might represent 51+50 = 101 as AB + AC = BCB. In the cryptarithm SEND + MORE = MONEY, what digit does the letter Y represent?
Answer:
[tex]\large \boxed{\sf \begin{aligned}9567&\\+1085&\\----&-\\10652&\\\end{aligned}}[/tex]
Step-by-step explanation:
Hello, let's do it step by step and see what we can find.
[tex]\begin{aligned}\text{ SEND}&\\+\text{ MORE}&\\-----&-\\\text{ MONEY}&\\\end{aligned}[/tex]
We assume that M is different from 0, otherwise we could find several different solutions I would think.
It means that S + M is greater than 10, otherwise the number of digit of the result would have been 4 and not 5.
The only possible number for M is then 1. M = 1
[tex]\begin{aligned}\text{ SEND}&\\+\text{ \boxed{1}ORE}&\\-----&-\\\text{ \boxed{1}ONEY}&\\\end{aligned}[/tex]
But then, S can only by 9, otherwise S + 1 < 10. S = 9
S + 1 = 10 + O if there is no carry over, so S = 9 + O
1 + S + 1 = 10 + O if there is a carry, so S = 8 + O
So O = 0 or O = 1. Wait !? M is already equal to 1 so O must be 0
E cannot be equal to N so 1 + E = N, meaning that there must be a carry over from column second from the right.
and E < 9 as we know that there is no carry over from column 3 from the right.
N + R = 10 + E => 1 + E + R = 10 + E => R = 9, impossible, as S=9
or 1 + N + R = 10 + E => 1 + 1 + E + R = 10 + E => R = 8
And there is a carry over from the column 1 from the right, so:
Y cannot be 0 or 1, as already used so D + E > 11
8 and 9 are already taken so we could have 7 + 5 = 12, 7 + 6 = 13 and that's it.
It means that E is 7 or D is 7.
If E is 7 then E+1=9=N, impossible, so D = 7
Then, E is 5 or 6
if E = 6 E + 1 = N = 7, impossible, so E = 5 and N = 6.
And 7 + 5 = 12 so Y = 2.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Complete the statement.
Answer:
VY
Step-by-step explanation:
Coz they all look the same on the sides
Please show step by step of working out the value of r for which is A minimum and calculate the minimum surface area of the container.
The total surface area, Acm^2, of each container is modelled by function A= πr^2+100/r.
(remember to use the derivative to show you have found the minimum)
Answer:
A = 59.63cm^2
Step-by-step explanation:
You have the following function for the surface area of the container:
[tex]A=\pi r^2+\frac{100}{r}[/tex] (1)
where r is the radius of the cross sectional area of the container.
In order to find the minimum surface are you first calculate the derivative of A respect to r, to find the value of r that makes the surface area a minimum.
[tex]\frac{dA}{dr}=\frac{d}{dr}[\pi r^2+\frac{100}{r}]\\\\\frac{dA}{dr}=2\pi r-\frac{100}{r^2}[/tex] (2)
Next, you equal the expression (2) to zero and solve for r:
[tex]2\pi r-\frac{100}{r^2}=0\\\\2\pi r=\frac{100}{r^2}\\\\r^3=\frac{50}{\pi}\\\\r=(\frac{50}{\pi})^{1/3}[/tex]
Finally, you replace the previous result in the equation (1):
[tex]A=\pi (\frac{50}{\pi})^{2/3}+\frac{100}{(\frac{50}{\pi})^{1/3}}}[/tex]
[tex]A=59.63[/tex]
The minimum total surface area is 59.63cm^2
What is the solution, if any, to the inequality |3x|≥0?
Answer:
Infinitely many solutions
Step-by-step explanation:
Any value of x will make this inequality true, hence there are infinitely many solutions. Another way to say this is True for all x on the interval [-infinite,+infinite]
The reason this is true, is because all values of an absolute value will be greater than or equal to 0.
Cheers.
That's weird !
X is ANY NUMBER !
-∞ ≤ X ≤ ∞
Helen has 48 cubic inches of clay to make a solid
square right pyramid with a base edge measuring 6
inches.
Which is the slant height of the pyramid if Helen uses all
the clay?
O 3 inches
O4 inches
O 5 inches
O 6 inches
6 in
Save and Exit
Next
Submit
Mark this and return
Answer:
4 inches.
Step-by-step explanation:
The formula for the volume of a pyramid is v=1/3bh.
V is the volume of the shape
1/3 is just a rational number or fraction.
b is the area of the base shape of the 3d shape
h is the height of the shape (slant height).
The general formula for the volume of all shapes is V=Bh
V is the volume
B is the area of the base
h is the height of the prism.
In this case, we have a pyramid, so let's use the formula V=1/3Bh.
We know what the volume so 48=?
We can put 1/3 so 48=1/2 times ? times ?.
The base shape of this pyramid is a square, and it has an edge of 6 inches. We need to find the area of that square because it is the area of our base. the formula for finding the area of a square is A=S squared.
A is the area of the shape
S is the side length.
The reason why it is squared is because all sides of a square are equal to each other. Since the base edge is 6 inches, the other edges are 6 inches as well. There are 4 edges in a square.
A= 6 times 6.
A=36.
We have the area of the base, so we can put 48=1/3 times 36 times ?.
We are finding what the slant height is, so let's put the letter "h" to represent the slant height.
Now, 48=1/3 times 36 times h.
All we have to do is solve for h.
First we have to simplify one side of the equation.
To simplify, we have to do 1/3 times 36, or you can do 36 divided by 3. It is your choice. 36 divided by 3 is 12.
Now we have 12h=48.
Isolate h by dividing both sides by 12. 12h divided 12 is h. 48 divided by 12 is 4.
Therefore h=4 inches. The reason we divide both sides is because we have to do the inverse operation of the original equation. For instance 12h=48. To get to 48, you do 12 times h. We take the inverse (opposite) operation of multiplication (division). That will isolate for h.
The slant height of this square pyramid is 4 inches.
Hope this helps. Have a good rest of your day!
The slant height of the pyramid is 4 inches. Therefore, the option B is the correct answer.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, volume of square right pyramid = 48 cubic inches and base edge measuring 6 inches.
We know that, the volume of square based pyramid =a²h/3.
Here, a=6 inches and h=slant height
Now, 48= (6²×h)/3
48=36h/3
48=12h
h=4 inches
Therefore, the option B is the correct answer.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ7
How do I do this? I need the correct option
option A is correct answer.
because angle JKL is half of of arc JL .
so, angle JK is equal to 64°.
hope it helps...
4. (a) Two years ago a woman was 7 times as old as her daughter, but in 3 years time
she would be only 4
times as old as the girl. How old are they now?
Answer:
woman is 37, girl is 7
Step-by-step explanation:
7(x-2) = y-2
4(x+3) = y+3
7x - 14 = y - 2
7x - 12 = y
4x + 9 = y
3x - 21 = 0
x = 7
y = 37
[tex]5x-4+2(x-4)=16[/tex]
Answer:
[tex]\boxed{x = 4}[/tex]
Step-by-step explanation:
=> 5x-4+2(x-4) = 16
Expanding the brackets
=> 5x-4+2x-8 = 16
Combining like terms
=> 5x+2x-4-8 = 16
=> 7x - 12 = 16
Adding 12 to both sides
=> 7x = 16+12
=> 7x = 28
Dividing both sides by 7
=> x = 4
Answer:
x = 4
Step-by-step explanation:
5x - 4 + 2(x-4) = 16
Expand the equation by multiplying 2 to x and -4 separately:
5x - 4 + 2x - 8 = 16
Collect like terms:
5x + 2x - 4 - 8 = 16
7x -12 = 16
Add 12 to both sides:
7x = 16 + 12
7x = 28
Divide both sides by 7 :
x = 28/7
x = 4