Answer:
15cm2
Step-by-step explanation:
Area of a triangle is b*h/2
B is 5
H is 6
5 * 6 = 30
30/2 = 15
Answer:
A
Step-by-step explanation:
The area of a triangle is base * height, divided by 2
bh/2 (same thing as multiplying by .5 or 1/2)
given:
base: 5 cm
height: 6 cm
(5 * 6)/2 = 15 cm^2
therefore the answer is A
plz help me
The table shows the change in the annual sales turnover of a company in millions of dollars, S(x), where x represents the years since the company was founded.
x S(x)
1 $495
3 $598.95
5 $724.73
7 $876.92
9 $1,061.08
What is the predicted average rate of change of the company's sales turnover, in millions of dollars, over the interval [9, 11]?
A.
$184.15 per year
B.
$111.42 per year
C.
$222.83 per year
D.
$92.08 per year
Answer:
its going to be d
Step-by-step explanation:
Answer:
The correct option is B.
Step-by-step explanation:
The general exponential regression model is
[tex]y=ab^x[/tex]
Using regression tool the exponential regression model for the given data is
[tex]S(x)=449.9999(1.09999)^x[/tex]
[tex]S(x)=450(1.1)^x[/tex]
The value of function at x=9 is
[tex]S(9)=450(1.1)^9=1061.07646[/tex]
The value of function at x=11 is
[tex]S(11)=450(1.1)^{11}=1283.90252[/tex]
The average rate of change of the company's sales turnover, in millions of dollars, over the interval [9, 11] is
[tex]m=\frac{S(11)-S(9)}{11-9}[/tex]
[tex]m=\frac{1283.90252-1061.07646-}{2}=111.413\approx 11.42[/tex]
The average rate of change of the company's sales turnover, in millions of dollars, over the interval [9, 11] is 11.42. Therefore the correct option is B.
A recipe calls for 4 cups of strawberries for every 6 cups of whipped topping. If gary uses 54 cups of whipped topping how many cups of strawberries does he need?
Answer:
36 cups
Step-by-step explanation:
If you notice, 6 times 9 is 54. So, 4 times 9 is 36. You need 36 cups of strawberries!
Kendra's credit card is stolen. She calls the credit card company to report it and the company says there are three large purchases on her card. She tells the company she did not make those purchases. Why does the credit card company tell her she is only responsible for $50.00 of those charges?
A. Federal law regulates a consumer's liability for fraudulent charges.
B. Credit card companies do not penalize consumers in cases of fraud.
C. Credit card companies know when charges are not made by the consumer.
D. Federal law states that credit card companies must collect that amount from consumers.
Answer:
A
Step-by-step explanation:
Federal law regulates a consumer's liability for fraudulent charges. Is what I got.
Answer:
A. Federal law regulates a consumer's liability for fraudulent charges.
Step-by-step explanation:
Under FCBA rules if a client reports about the lost cred card befor eit is used by someone else then the owner of the card is not responsible for any charges. As per the rule Card holders liability for unauthorised use of their credit card ends at $50. FCBA is a federal law that was framed in 1974 and allows us to dispute charges and temporarily withhold payment without affecting credit score. It is because of FCBA that she would not be charges more than fifty dollars.
Tell which statement is the best estimate for the division problem 185 divide 61
Answer:
whichever is closest to 3.032787
a 34 gram sample of a substance that's used to treat thyroid disorders has a k-value of 0.137. find the substance's half-life, in days. round to the nearest tenths.
Answer:
5.1 days
Step-by-step explanation:
Given in the question,
initial amount of substance = 34 grams
k-value = 0.137
To find the half life of this substance we will use following formula
[tex]N(0)/2 = N(0)e^{-kt}[/tex]
here N(0) is initial amount of substance
t is time in days
Plug values in the formula
[tex]34 /2 = 34e^{-0.137t}[/tex]
1/2 = e^{-0.137t}
Take logarithm on both sides
ln(1/2) = ln( e^{-0.137t})
ln(1/2) = -0.137t
t = ln(1/2) / -0.137
t = 5.059
t ≈ 5.1 days (nearest to tenths)
Which polynomial function has a leading coefficient of 1, roots –2 and 7 with multiplicity 1, and root 5 with multiplicity 2?
f(x) = 2(x + 7)(x + 5)(x – 2)
f(x) = 2(x – 7)(x – 5)(x + 2)
f(x) = (x + 7)(x + 5)(x + 5)(x – 2)
f(x) = (x – 7)(x – 5)(x – 5)(x + 2)
ANSWER
[tex]f(x) = (x -7)(x - 5) {(x - 5)}(x + 2)[/tex]
EXPLANATION
If the polynomial has a root -2, with multiplicity 1, then (x+2) is a factor.
If the polynomial has root, 7 with multiplicity 1, then (x-7) is a factor.
If the polynomial has root 5, with multiplicity 2, then (x-5)² is a factor of the polynomial.
The fully factored form of the polynomial is
[tex]f(x) =a (x + 2)(x - 7) {(x - 5)}^{2} [/tex]
It was given that the polynomial has a leading coefficient of 1.
Hence a=1.
This implies that,
[tex]f(x) =(x + 2)(x - 7) {(x - 5)}^{2}[/tex]
Or
[tex]f(x) = (x -7)(x - 5) {(x - 5)}(x + 2)[/tex]
Answer:
f(x) = (x -7)(x - 5) {(x - 5)}(x + 2) the answer is D
Step-by-step explanation:
Simplify −2√45+3√3+2√3 Question 4 options: A.−6√5+6√3 B.−2√5+6√3 C.−6√5+5√3 D.−18√5+5√3
Answer:
C
Step-by-step explanation:
You're probably stuck by this problem. Let's rewrite the problem.
-2√45 + 3√3 + 2√3The first part of simplifying the expression is to simply the radicals. Since 45 has a factor which is a square, let's simplify.
-2√45 = -2√5 × 9 = (-2 × 3)√5 = -6√5Let's just continue simplifying and dissect the 3√3 + 2√3.3√3 + 2√3 = 5√3...The answer is...5√3 - 6√5 or -6√5 + 5√3, CSolve for y.
xy + p = 5
The value of y for the equation [tex]xy + p = 5[/tex].
What is equation?An equation is a statement of equality between two mathematical expressions containing one or more variables.
According to the given question.
We have a equation
[tex]xy + p = 5[/tex]
Solve the above the equation for y
[tex]xy +p - p = 5 -p[/tex] ( subtracting p both the sides)
[tex]\implies xy = 5-p[/tex]
[tex]\implies \frac{xy}{x} = \frac{5-p}{x}[/tex] (dividing both the sides by x)
[tex]\implies y = \frac{5-p}{x}[/tex]
Therefore, the value of y for the equation [tex]xy + p = 5[/tex].
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Determine whether or not the given procedure results in a binomial distribution. if not, identify which condition is not met. spinning an american roulette wheel 74 times and recording the number the ball lands on.
Answer:
This procedure does not result in a Binomial distribution.
Step-by-step explanation:
In a Binomial distribution there are only 2 outcomes in each trial.. In the roulette experiment there are more than 2 possible outcomes for each trial so this condition is not met.
The spinning of an American roulette wheel 74 times doesn't result in a binomial distribution because there are more than two possible outcomes and thus the second condition - only two possible outcomes for each trial - for a binomial experiment is not met.
Explanation:The procedure of spinning an American roulette wheel 74 times and recording the number the ball lands on does not result in a binomial distribution. This is because it does not meet all the conditions necessary for a statistical experiment to be classified as a binomial experiment.
For an experiment to be classified as a binomial experiment, it must meet the following conditions:
There must be a fixed number of trials.There are only two possible outcomes for each trial, termed as success and failure.The trials are independent and must be repeated under identical conditions.Although the procedure meets the condition of having a fixed number of trials, it fails on the second and third conditions. On a roulette wheel, there are 38 possible outcomes, not two, so it fails the condition of only having two outcomes (success or failure). Moreover, the outcome of each spin is independent but the conditions are not identical, as the chance of landing on any particular number is not the same for every spin (if we consider landing on a specific number as 'success').
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the graph shows that lisa's earnings are proportional to the number of hours that she works.This relationship can be represented by an equation in the form y = kx. what is the value of k in the equation?
c. 25 because she gets $25 per hour
Hank and Debra each one two milking cows. One day, they Milked their cows and compared the amount of milk the cows produced in that day
Answer:
it would be great if you provided a question here..!
Step-by-step explanation:
For 1 and 2, state whether the numbers are parameters or statistics, and use the appropriate notation to describe each number. 1. a random sample of female college students has a mean height of 64.5 inches, which is greater than the 63-inch mean height of all adult american women.
Answer:
x-bar 64.5 is a statistic because it describes a sample.
Mu 63 is a parameter because it describes a population.
The symbol for mu is a Greek m
Step-by-step explanation:
Final answer:
A random sample mean, like the 64.5 inches height for female college students, is a statistic denoted as \( \bar{x} \), while the mean height of all adult American women is a parameter denoted as \( \mu \). Determining whether a number is a parameter or statistic informs how it is used in hypothesis testing and confidence interval construction.
Explanation:
When identifying whether the numbers are parameters or statistics, it's important to distinguish between data collected from a population or a sample. In the scenarios mentioned, such as when a random sample of female college students has a mean height of 64.5 inches, we are dealing with a statistic. This is because it is a measure obtained from a sample. The appropriate notation for this sample mean would be \( \bar{x} \). This contrasts with the information such as the mean height of all adult American women, which is a parameter because it relates to the entire population. The notation for a population mean is \( \mu \). Considering other examples provided, when we calculate a p-value or when we undertake a study and calculate the difference in mean heights between groups, we are dealing with statistics.
In practice, the difference between statistics and parameters is essential for hypothesis testing, constructing confidence intervals, and making inferences about the population based on sample data. For example, if the p-value is close to zero in a test related to the mean height of high school basketball players, it suggests that there is strong evidence against the null hypothesis \( H_0 \), which posits no effect or no difference. The alternative hypothesis \( H_1 \) would be that there is a significant difference.
A betting company wishes to sell 5000 tickets 50 of which will win prizes. I.) A students decided to buy 200 tickets. Let X be the number of tickets that win a prize. Write the probability distribution of X and give its mean. Ii.) Using a Poisson approximation for the distribution of X find the probability of at least three tickets winning a prize. Iii.) Calculate the number of tickets that should be bought so as the probability of at least one winning a prize is 90%
Answer:45000,000,000,000
Step-by-step explanation:you just have to times it
I need help with this problem
Answer:
h = 15Step-by-step explanation:
The formula of an area of a parallelogram:
[tex]A=bh[/tex]
b - side
h - height
We have b₁ = 18 and h₁ 10 and b₂ = 12.
[tex]b_1h_1=b_2h[/tex]
Substitute:
[tex]12h=(18)(10)[/tex]
[tex]12h=180[/tex] divide both sides by 12
[tex]h=15[/tex]
A square pyramid and a cone have the same base area. The volume of the cone is 100cm^3 , and the height of the cone is 15 cm. The height of the square pyramid is 24 cm. Find the volume of the square pyramid to the nearest whole unit.
Answer:
160 cm³
Step-by-step explanation:
1. Calculate the base area of the cone
The volume for the volume (V) of a cone is
V = ⅓Ah
Data:
V = 100 cm³
h = 15 cm
Calculation:
100 = ⅓ A× 15
100 = 5A
A = 100/5 = 20 cm²
2. Volume of Pyramid.
The volume for the volume (V) of a square pyramid is
V = ⅓Ah
Data:
A = 20 cm²
h = 24 cm
Calculation:
V = ⅓× 20× 24 = 160 cm³
The volume of the square pyramid is 160 cm³.
Estimate the circumference of the circle with the given radius or diameter. Use 3.14 for ?. Round to the nearest unit. (Half. 24in written inside the circle) 1. 27in. 2. 79in. 3. 1,809in. 4. 152in. Mathematics, Connexus. Rectangular prisms and volume Part 1, Math 6B, Unit 3: Geometry and Measurement.
Answer:
The perimeter of a circle can be found by using the followinfg expression
P = 2*π*r
where
π = 3.14
r = radius of the circle = half the diameter of the circle
In this case, if we are given the radius, we use
P = 2*π*r
If we are given the diameter, we use
P = 2*π*(D/2) = π*D
1) 27in
radius = 27in
P = 2*(3.14)*(27 in) = 169.56 in
diameter = 27 in
P = (3.14)*(27 in) = 84.78 in
2) 79 in
radius = 79 in
P = 2*(3.14)*(79 in) = 496.12 in
diameter = 79 in
P = (3.14)*(79 in) = 248.06 in
3) 1809 in
radius = 1809 in
P = 2*(3.14)*(1809 in) = 11360.52 in
diameter = 1809 in
P = (3.14)*(1809 in) = 5680.26 in
4) 152 in
radius = 152 in
P = 2*(3.14)*(152 in) = 954.56 in
diameter = 152 in
P = (3.14)*(152 in) = 477.28 in
Answer:
no
Step-by-step explanation:
1. Collin noticed that various combinations of nickels and dimes could add up to $0.65.
Let x equal the number of nickels
Let y equal the number of dimes
What is the domain where y is a function of x and the total value is $0.65?
A. (0,1,2,3,4,5,6,7,8,9,10,11,12,13)
B. (1,2,3,4,5,6,7,8,9,10,11,12,13)
C. (0,1,3,5,7,9,11,13)
D. (1,3,5,7,9,11,13)
Answer:
Step-by-step explanation:
dimes only cannot give total ending in 5 cents
so theres at least 1 nickel
n by the same reason, no.of nickels must be odd no.
most nickels is 0.65/0.05=13
combining the above, ans is D. (1,3,5,7,9,11,13)
Answer:
The Answer Is D (1,3,5,7,9,11,13)
Step-by-step explanation:
Solve for x.
x2−9=16
Enter the solutions for the equation in the boxes.
x = ___ or x = ___
The answer will be
x=5 or x=-5
hope this help
Please help, thanks a lot! :)
Match the stem and leaf plot to the correct set of data.
A.) 17, 17, 13, 28, 28, 26, 37, 35
B.) 7, 7, 3, 8, 8, 6, 7, 5
C.) 1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7
D.) 1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7, 3.7
Answer:
I believe the answer is A. 17, 17, 13, 28, 28, 26, 37, 35
The answer is C.
The stem, shows the number before the decimal point. The higher the number, the longer the stem goes down.
The leaf, shows the number after the decimal point. Each leaf is added to a row to match the stem of the original number.
1.3, 1.7, 1.7 all have a "1" before the decimal so they all go in the same row like this:
1 | 3 7 7
If we keep doing this, we see that C is the correct answer.
Best of Luck!
The Garcia family started the day with 2 gallons of milk. They drank 1 quart of milk for breakfast and 3 pints for lunch.How many pints of milk did the Garcia family have left after lunch.
Answer:
11 pt
Step-by-step explanation:
Convert all volumes to pints
Starting volume
2 gal × 4 qt/1 gal = 8 qt
8 qt × 2 pt/1 qt = 16 pt
Breakfast
1 qt × 2 pt/1 qt = 2 pt
Stating volume = 16 pt
Less breakfast = -2 pt
Less lunch = -3 pt
After lunch = 11 pt
The Garcia family had 11 pt of milk left after lunch.
Given a spherical weather balloon with a volume of 36π cubic feet. What is the diameter, in feet, of the weather balloon?
A) 3
B) 6
C) 9
D) 12
Answer:
option B [tex]D=6\ ft[/tex]
Step-by-step explanation:
we know that
The volume of the sphere is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
In this problem we have
[tex]V=36\pi\ ft^{3}[/tex]
substitute and solve for r
[tex]36\pi=\frac{4}{3}\pi r^{3}[/tex]
simplify
[tex]27=r^{3}[/tex]
[tex]r=3\ ft[/tex]
Find the diameter
[tex]D=2r=2(3)=6\ ft[/tex]
Answer:
b)6
Step-by-step explanation:
Which of the following is the correct radical form of this expression
ANSWER
The correct answer is A.
EXPLANATION
The given expression is
[tex]( \frac{ {p}^{12} {q}^{ \frac{3}{2} } }{64} ) ^{ \frac{5}{6} } [/tex]
Recall that:
[tex] {a}^{ \frac{m}{n} } = (\sqrt[n]{a} ) ^{m} [/tex]
For the given expression,
[tex]m = 5[/tex]
[tex]n = 6[/tex]
and
[tex]a = \frac{ {p}^{12} {q}^{ \frac{3}{2} } }{64} [/tex]
We substitute all these values to obtain the radical form:
[tex]( \frac{ {p}^{12} {q}^{ \frac{3}{2} } }{64} ) ^{ \frac{5}{6} } = ( \sqrt[6]{( \frac{ {p}^{12} {q}^{ \frac{3}{2} } }{64} ) })^{5} [/tex]
The correct choice is A.
A shampoo company begins selling a new bottle of shampoo that is advertised as 25% more shampoo than the old bottle. If the new bottle holds 15 ounces of shampoo, how much did the old bottle hold?
15 - 25% = 14.47 ounces of shampoo
The original shampoo bottle held 12 ounces before the 25% increase to 15 ounces. For the tile cleanser, the percent by mass of HCl is calculated to be 14.84%. Discussions of consumer product concentrations, like laundry detergent costs per ounce, often involve linear relationships and predictive models.
The question requires understanding percent increase and how to calculate the original amount given the increased quantity. To find the original volume of the shampoo bottle before the 25% increase, we set up the equation where the original volume (V) times 1.25 (to represent the 25% increase) equals the new volume of 15 ounces:
V x 1.25 = 15 ounces
To solve for V, we divide both sides of the equation by 1.25:
V = 15 ounces / 1.25
V = 12 ounces
Therefore, the old bottle held 12 ounces of shampoo.
To address another concept related to consumer products, the question on mass percentage, namely the percent by mass of HCl in a tile cleanser, also represents a common mathematical calculation in consumer product information. The calculation is as follows:
Percent by mass = (mass of solute / total mass of solution) x 100%
Percent by mass of HCl = (135 g / (135 g + 775 g)) x 100%
Percent by mass of HCl = (135 g / 910 g) x 100%
Percent by mass of HCl = 14.84%
Thus, the bottle of tile cleanser has 14.84% by mass of HCl.
When discussing the cost per ounce of laundry detergent in different sizes, such as a 40 oz. size or a 90 oz. size, the concept of linear relationships may be explored, as well as the possibility of identifying outliers or considering the validity of predictive models like the least-squares line.
While flying an aircraft, a pilot looks out to the horizon. The altitude of the plane is 9.4 km. Earth has an average radius of about 6378 km. How far away is the horizon to the nearest tenth of a kilometer?
Answer:
6387 km
Step-by-step explanation:
6378 km -9.4 km =
6386.6 km
Round to the nearest tenth: 63787 km
Hope I helped, sorry if not tho
Evaluate 3^2+(6-2)•4-6/3
Answer:
23
Step-by-step explanation:
3^2+(6-2)•4-6/3
Order of operations:
= 9 + (4)•4 - 6/3
= 9 + 16 - 2
= 25 -2
= 23
32+(6−2)(4)− 6/3
your answer is =23
32+(6−2)(4)− 6/3
=9+(6−2)(4)− 6/3
=9+(4)(4)− 6/3
=9+16− 6/3
=25− 6/3
=25−2
=23
Thirty Mercedes and Audi participated in a 30 mile race. The average driving speed of the Mercedes and Audi were recorded. A random sample (Sample 1) of the Mercedes's average driving speed (km/h) is: 120, 142, 142, 165, 132, 130, 156, 136, 167, 139, 144. A random sample (Sample 2) of the Audi's average driving speed (km/h) is: 112, 145, 146, 165, 163, 141, 112, 134, 113, 114, 125. What is the median of Sample 1? What is the median of Sample 2?
Answer:
Median for sample 1 = 142
Median for sample 2 = 134
Step-by-step explanation:
For Sample 1:
For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order.
120, 130, 132, 136, 139, 142, 142, 144, 156, 165, 167
The formula for calculating the term which will be median is:
Median= ((n+1)/2)
Here in sample 1, n=11
So, putting n=11 in the formula
= ((11+1)/2)
= (12/2)
=6th term
The sixth term is 142, so
Median of sample 1=142
For Sample 2:
For finding median, the data is first arranged into ascending or descending order. We are arranging the data in ascending order.
112, 112, 113, 114, 125, 134, 141, 145, 146, 163, 165
The formula for calculating the term which will be median is:
Median= ((n+1)/2)
Here in sample 2, n=11
So, putting n=11 in the formula
=((11+1)/2)
=(12/2)
=6th term
The sixth term is 134, so
Median of sample 2=134
As an estimation we are told ?3 is €4. Convert €83.60 to pounds. Give your answer rounded to 2 DP.
Answer:
€83.60 = £62.70
Step-by-step explanation:
£3/€4 = £x/€ 83.60
¾ = x/83.60
Multiply each side by the lowest common denominator (4 × 83.60)
3 × 83.60 = 4x
Divide each side by 4
x = (3 × 83.60)/4 = £62.70
∴ €83.60 = £62.70
(The conversion factor is out of date. The current conversion factor is closer to £6 = €7.)
Using the given exchange rate, we set up a conversion equation and solve for the unknown variable. We find that €83.60 is roughly equivalent to 62.86 pounds.
Explanation:Based on the given exchange rate, 1 pound (£) is equivalent to 1.33 Euros (€). Therefore, to convert €83.60 to pounds, we should do the following:
Set up the conversion ratio: 1.33 €/£ = 83.60 €/x £To solve for x (the value in pounds), cross-multiply: 1.33x = 83.60Divide both sides by 1.33: x = 83.60/1.33Rounding off to two decimal places, x = 62.86 £Therefore, €83.60 is approximately equivalent to 62.86 pounds.
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the area of the top face of a cube is 9 square meters. what is the volume of the cube
for a cube v=a^3, so 9^3= 729
Please answer this question, will give brainliest!
See the attached picture:
How do you do this problem? Simple and concise explanation please! TOP ANSWERERS!!!!
Answer:
Just B and C
Step-by-step explanation:
Reduce this to the lowest amount possible.
log(3abc/6a^2b) = 2
=================
log(c/2a) = 2
c/2a = 10^2
c = 2a * 100
c = 200a
This one is also correct.
=================
The rest are just incorrect.
There is only 1 answer that works and that is B.
C is close, but it is not correct.
D is backwards. B is the right way and D is the upside down of B.
E and F are just not the way to handle logs. Subtracting logs means division, not multiplication and not 1 log.
=================