Answer:
it will be 300 feet tall and 1000 feet wide
Step-by-step explanation:
The height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=ba^x+c[/tex]
Here, a,b and c are the real numbers.
The arch support of a bridge can be modeled by the following function,
[tex]y=-0.0012x^2+300[/tex]
Here, x and y are measured in feet.
The height and width of the arch has to be found out. First, find the x intercept of the function. As at the x intercept, the y equal to zero. Therefore,
[tex]0=-0.0012x^2+300\\0.0012x^2=300\\x=\sqrt{25000}\\x=500[/tex]
As, the graph is symmetric around the y-axis. Thus, the -500 can also be a solution. Now, the width of the arch can be given as,
[tex]w=500-(-500)\\w=1000\rm ft[/tex]
Now similarly at x equal to zero, the function will be,
[tex]y=300[/tex]
Hence, the height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
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Collin bought one T-shirt for $7.90 and another T-shirt for $12.40. What is the total amount he spent?
find the Range 11,10,15,17,14
(highest) -(lowest)
17-10
=7
In a random sample of 8 people, the mean commute time to work was 35.5 minutes and the standard deviation was 7.4 minutes. A 90% confidence interval using the t-distribution was calculated to be (30.5,40.5). After researching commute times to work, it was found that the population standard deviation is 9.3 minutes. Find the margin of error and construct a 90% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.
Answer:
Margin of Error = 5.4088 ;
Confidence interval = (30.1 ; 40.9)
Interval estimate are almost the same
Step-by-step explanation:
Given that :
Population standard deviation, σ = 9.3
Sample size, n = 8
Xbar = 35.5
Confidence level = 90%
The confidence interval:
Xbar ± Margin of error
Margin of Error = Zcritical * σ/sqrt(n)
Zcritical at 90% = 1.645
Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088
Confidence interval :
Xbar ± Margin of error
35.5 ± 5.4088
Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1
Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9
(30.1 ; 40.9)
T distribution =. (30.5 ; 40.5)
Normal distribution = (30.1, 40.9)
Estimate the radius of the object
Answer:
r = 1.41 mm
Step-by-step explanation:
Given that,
The circumference of the flower, C = 8.9 mm
We need to find its radius. We know that,
Circumference, [tex]C=2\pi r[/tex]
Where
r is the radius of the object
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{8.9}{2\pi}\\\\r=1.41\ mm[/tex]
So, the radius of the object is equal to 1.41 mm.
In a poll, a random sample of 2163 adults (aged 18 and over) was asked, "When you see an ad emphasizing that a product is made in your country, are you more likely to buy it, less likely to buy it, ar neither more nor less likely to
buy it? The results of the survey are presented in the side by side graph. Complete parts (a) through (d) below
Leihood to Buy When Made in Home Country
More
Les likely
| Neither
02
(a) What proportion of 18 to 34 year-old respondents are more likely to buy when made in their country? What proportion of 35 to 44 year-old respondents are more likely to buy when made in their country?
Answer:
Step-by-step explanation:
(a) What proportion of 18- to 34-year-old respondents are more likely to buy when made in their country? What proportion of 35- to 44-year-old respondents are more likely to buy when made in their country?
The proportion of 18- to 34-year-old respondents is
0.66
The proportion of 35- to 44-year-old respondents is
0.56
(b) What age group has the greatest proportion who are more likely to buy when made in their country?
18-34 yrs
(c) Which age group has a majority of respondents who are less likely to buy when made in their country?
55+
(d) What is the apparent association between age and likelihood to buy when made in their country?
As age decreases, the likelihood to buy homegrown increases
A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?
Answer:
$6510
Step-by-step explanation:
First thing that should come to mind is: What is 7% of $7000?
Well, if you don't know how to find a percent of something, this is the formula you use:
7000 x 0.07 = 490.
In the first year, they will receive 490 out of the 7000 they've invested.
7000 - 490 = 6510.
Therefore, the account balance at the end of the first year will be 6510.
The account balance at the end of first year will be equal to $6510.
What do you mean by percentage ?
Percentage is the relative value indicating one hundredth part of any quantity.
It is given that a retiree invests $7000 in a savings plan which pays 7% per year. So , it meant that we need to calculate that what is the value 7% of $7000.
So , 7% of $7000 is :
= 7000 × [tex]\frac{7}{100}[/tex]
= $490
It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.
So , the account balance at the end of first year will be :
= 7000 - 490
= $6510
Therefore , the account balance at the end of first year will be equal to $6510.
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Find the measure of each angle
Answer:
angle O = 36 degrees
angle N = 54 degrees
Step-by-step explanation:
90 degrees = angle O and N
2a + 18 + 5a + 9 = 90
7a + 27 = 90
7a = 63
a = 9
2(9) + 18 = 36 degrees
5(9) + 9 = 54 degrees
The can show below is a cylinder made of aluminum. The diameter of the can is 3 inches and the height of the can is 4 inches.
Which is closest to the total surface area of the can?
A. 14 in
B. 38 in.
C. 28 in.
D.52 in.
What is the area of the figure?
A.)24 square inches
B.)28 square inches
C.)45 square inches
D.)55 square inches
Answer:
24 square inches
Step-by-step explanation:
Based on the diagram or figure given, The area of the figure is known to be 24 square inches.
What is the area of a figure?The area of a figure is known to be the rate or the number of unit squares that is said to have cover the surface of a closed figure.
Note that the area is often measured in square units such as (cm²) and in the case above, the Based on the diagram or figure given, The area of the figure is known to be 24 square inches.
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bathroom that is 6 feet long. If the mirror sells for $4.00 per square foot, what will the total cost of the mirror be?
Will someone please please help me
Answer:
Step-by-step explanation:
12 + 5 = 17
square root of 9 = 3
5 x 4 = 20
A political analyst wanted to see whether there is an association between political affiliation and where a person lives. The analyst took a random sample of 1,250 people in a state and asked them which political party they were affiliated with and what county they lived in. The following are the hypotheses the analyst tested.
H0: There is no association between party affiliation and the county in which a person lives.
Ha: There is an association between party affiliation and the county in which a person lives.
The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively. Which of the following conclusions should be made about political affiliation and where a person lives?
A) There is convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
C) There is convincing statistical evidence to prove that political affiliation and where a person lives are dependent.
D) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
E) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
Answer:
B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
Step-by-step explanation:
Chi square test value is greater than the p-value which suggest that we can reject the null hypothesis and there is strong evidence supporting the statement of alternative hypothesis.
The conclusions, made for political affiliation, that there is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
What is random sample?Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
The analyst took a random sample of 1,250 people in a state. The following are the hypotheses the analyst tested-
H0: There is no association between party affiliation and the county in which a person lives.Ha: There is an association between party affiliation and the county in which a person lives.The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively.
The value of chi square is greater than p-value as,
[tex]19.78 > 0.003[/tex]
Therefore, the null hypothesis can be rejected. There is an association between party affiliation and the county in which a person lives.
Hence, the conclusions, made for political affiliation, that there are convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
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Please Help me.. i'll give brainliest to the first person that answers it correct
Solve ax + by = a-b and bx – ay = a+b
A. x = 1 and y = 1
B. x = 1 and y = -1
C. x = -1 and y = -1
D. x = -1 and y = 1
Answer:
x = 1 and y = -1
Step-by-step explanation:
Which of the expressions are equivalent to the one below? Check all that
apply.
10x(3+4)
A. (3+4)x10
O B. (10x3) + 4
C. 10.3 + 10 - 4
D. 10. (4+3)
SUBMIT
help me please!!!
solve a quadratic equation by factoring
solve for g.
g^2-24g+144=0
9514 1404 393
Answer:
g = 12
Step-by-step explanation:
You recognize that 144 is 12², so you check to see if the x-coefficient is 2·12. It is. The quadratic is a square:
(g -12)² = 0
The only solution is the one that makes the squared term equal to zero:
g -12 = 0
g = 12
_____
The square of a binomial is ...
(a +b)² = a² +2ab +b²
Here, we have a=x, b=-12.
Which graph shows the solution to the following system of inequalities?
{x - y = 1
y - x = 1
The lines are parallel.
The lines are coinciding.
The lines intersect at (1, 0).
The lines intersect at (–1, 0).
how do you add an equation vertically
"Vertically" probably refers to stacking the polynomials on top of each other and aligning them at equal powers of x. So kind of like what you might do when adding two numbers with more than 1 digit each.
For example, the sum 123 + 456 can be computed by adding digits in the same digits place:
… 1 2 3
+ 4 5 6
… 5 7 9
Then for this sum, you have
… - 3x ² - 6x + 8
+ 8x ² + 7x - 14
… 5x ² + x - 6
Calculate the area of the above triangle
07 square units
28 square units
14 square units
30.5 square units
Answer:
14 square units
Step-by-step explanation:
Equation:
Area of a triangle = h*b/2
Variables:
h = 4 units
b = 7 units
Solve:
h*b/2
= 4 units * 7 units /2
= 14 square units
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Larissa rolled two number cubes each with the numbers 1 through 6 larissa adds the numbers appeared on the roll which two sums have an equal chance of occurring
A. 3 and 11
B. 4 and 7
C. 5 and 8
D. 6 and 9
Which expression is equivalent to ( x4/3 x2/3 )1/3
?
Answer:
x^2/3
Step-by-step explanation:
(x^4/3 × x ^2/3)^ 1/3
According to laws of indices powers are added if the base is same,
[x^(4/3 + 2/3) ] ^1/3
= (x ^ 6/3 ) ^ 1/3
= (x² )^ 1/3
= x ^ 2/3
Which triangles are right triangles?
Select ALL correct answers.
Answer:
2 , 3 ,4
Step-by-step explanation:
to find the right triangle use the pythagorian method
A^2+B^2= C^2
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a picture card.
Answer:
Step-by-step explanation:
3/13
The probability of being dealt a picture card is 3/13
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the total number of cards in the deck be = 52 cards
Let the number of picture cards be = A
Now , the picture cards include 4 colors of Jacks , 4 colors of Queens and 4 colors of Kings
So , total number of picture cards = 4 + 4 + 4
= 12 picture cards
And the probability of drawing a picture cards is P =
number of picture cards / total number of cards in the deck
The probability of drawing a picture cards is P = 12 / 52
= 3 / 13
Therefore , the value of P is 3/13
Hence , The probability of being dealt a picture card is 3/13
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the equation is
Y=4x + 2
-6x+ 2y=8
I'm trying to figure out whats the value of x +y
Answer:
Y = 4x +2
substitute Y into the second equation
-6x +2[4x +2] =8
-6x +8x +4 =8
collect like terms
-6x +8x =8-4
2x=4
x=2
Substitute (x=2) into the first equation
Y= 4(2) +2
Y= 8+2
Y= 10
What is the factored form of this expression?
9x2 – 64y2
Answer:
(3x + 8y)(3x - 8y)
Step-by-step explanation:
this is the difference of 2 perfect squares.
9x2 - 64y2
(3x + 8y)(3x - 8y)
Please help marking brainliest
Answer: The length of each side of the tiles is 7.2 in
Step-by-step explanation:
Pls help!
Which figure is a prism?
Answer:
the first red one, it's a triangular prism
Step-by-step explanation:
the second one is a triangular pyramid
the rest (third and fourth one) are square pyramids
Answer:
Its the first one
Step-by-step explanation:
Because a prism is a three-dimensional shape with identical ends, called bases, and flat sides called faces. These identical slices of a prism are called cross sections.
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Responda: Por favor, é urgente.
Answer:
C) CA=40
Step-by-step explanation:
2y/(2y+4)=(2y+6)/4y
cross multiply
8y²=4y²+20y+24
4(2y²)=4(y²+5y+6)
divide both sides by 4
2y²=y²+5y+6
y²-5y-6=0
(y-6)(y+1)=0
So the answer must be either 6 or -1. Since it can't be a negative number, it must be 6.
CA=2(6)+4+4(6)
CA=12+4+24
CA=40
Patrick has an art supplies box with colored pencils and markers. The ratio of colored pencils to markers is 7:4. If Patrick has 63 colored pencils in the box, how many markers does he have.
Please solve this problem
6 Melvin and Roberto played football on two different teams last season.
• Melvin's team won w games.
• Roberto's team won 3 fewer games than Melvin's team.
Which expression can be used to represent the number of games Roberto's
team won last season?
Select one answer.
A W + 3
BW-3
CW.3
Dw3
Answer:
B is the answer
Step-by-step explanation: