sub y = x - 1 into equation 1
2x + x - 1 = 5
3x = 6
x = 2
sub x = 2 into equation 2
y = 2 - 1
y = 1
Which of the following values are in the range of the function graphed below?
Check all that apply.
10
-10
10
- 10 -
I A. -1
B. 0
C. 4
D. -4
E. 1
F. 2
Answer:
1
Step-by-step explanation:
Find the indicated limit, if it exists.
Answer:
2
Step-by-step explanation:
[tex]Lim_{x\to 8} f(x), \: f(x) \begin{cases} x + 10 \: \: \: \: x < 8 \\ \\ 10 - x \: \: \: \: x \geqslant 8\end{cases}[/tex]
[tex] Lim_{x\to 8} f(x) = Lim_{x\to 8} 10 - x \\ \\ = 10 - 8 \\ \\ = 2[/tex]
What is the value of the expression
3+(2+8)^2+4*(1/2)^4
Answer:
Use photo math, it will explain it all
First here's the expression written out a little clearer
[tex]3+(2+8)^2+4*(\frac{1}{2} )^4[/tex]
Parentheses: (2+8) = (10).
Exponents: 10^2 is 100, and [tex](\frac{1}{2} )^4[/tex] is [tex]\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot\frac{1}{2} =[/tex] [tex]\frac{1}{16}[/tex]
Multiplication and division: 4 * 1/16 is [tex]\frac{4}{16}[/tex] or [tex]\frac{1}{4}[/tex] simplified
Addition and subtraction: Go left to right. 3 + 100 + [tex]\frac{1}{4}[/tex] = 103.25 (final answer)
The Cobb-Douglas production model is a function that relates production outputs with a combination of different inputs. Agricultural data from 44 countries around the world, concerning agricultural production Q, labor L, capital K, fertilizer F, and hectares of arable land H, can be used to create an agricultural production model for countries using a Cobb-Douglas function given by
Q= 3.41 L^0.266 .K^2.06 F^0.299.H^1.41
The exponents in the Cobb-Douglas model are called elasticities. Find the percentage increment in production if a country has a 1% increase in Labor.
Answer:
0.266 percent
Step-by-step explanation:
With labor increasing by 1 percent, we are to find how much level of production would also increase given the coubglas function in the question.
Level of production = ∆Q/Q
We differentiate the function Q with respect to Labour, L.
∆Q/∆L = 0.266Q/L
∆Q/Q = 0.266∆L/L
∆L/L = 1
∆Q/Q x 100 = 1 *0.266
= 0.266%
Please refer to the attachment
The teacher wants to group 87 students into teams which have the same number of students. There must be more than one team. At least how many teams are there and how many students are there in each team?
Answer:
3 teams and 29students in each team.
let, the team be x,y,&z
given all the team r equal so, x=y=z
x+y+z=87
3x=87
x=87/3
x=29
we get, x=y=z=29
hope it helps.
Help me and if the answer is correct and neat I will give you brainliest. Its about line plots.
Answer:
Step-by-step explanation:
pls help with math that’s attached
Answer:
TU = 28.5
Step-by-step explanation:
The triangles are congruent because of side-angle-side
TU = VU because corresponding sides of congruent triangles are congruent.
so:
3x + 9 = 7x - 17
simplify:
4x = 26
x = 6.5
TU = 3(6.5 + 9) = 19.5 + 9 = 28.5
Answer:
3x+9=7x-17
26 = 4x
x=6.5
TU:28.5
Any help would be appreciated. Thank you
What type of transformation
has this figure Madeo
Answer:
Rotation it almost has Rotate in the word, Reflection is a mirror of itself, Translation is when the Object stays the same, But is moved
Step-by-step explanation:
A realtor receives 7% commission for each home for each home she sells. She sold a home recently, earning a commission of $17,500. What was the sale price of the home?
Answer:
Step-by-step explanation:
if the realtor received a commission of 17,500 dollars which represent only 7% of the price of the house,
the sale price was
(17,500*100)/0.07=250,000
Choose all of the expressions that can be used to find the volume of the rectangular prism.
Answer:
C. (6 × 5) × 2 = 60 m³
D. 5 × (6 × 2)
E. (2 × 5) × 6
Step-by-step explanation:
Volume of a rectangular prism can be given as, V = L*W*H
L = 6
W = 5
H = 2
However, whichever way we choose to use as either L, W, or H, we would still get the same value as the volume.
Thus:
✔️V = (6 × 5) × 2 = 60 m³
✔️V = 5 × (6 × 2) = 60 m³
✔️V = (2 × 5) × 6 = 60 m³
These are the three expressions that can be used to find the volume.
If you place a 37-foot ladder against the top of a 12-foot building, how many feet will the bottom of the ladder be from the bottom of the building?
The building will be making 90° with the ground/horizontal.
Then we can apply Pythagoras theorem.
(Base)² + (Height)² = (Hypotenuse)²
=> x² + (12 foot)² = (37 foot)²
=> x² = (37 foot)² - (12 foot)²
We can expand LHS using a² - b² = (a + b)(a - b)
=> x² = (37 + 12 foot)(37 - 12 foot)
=> x² = 49 * 25 foot²
=> x² = (7 * 5)² foot²
=> x = 7 * 5 foot
=> x = 35 foot.
In a class of 100 students 45 students read physics, 52 students read Chemistry and 15 students read both the subject. Find the number of people who student who study neither physics nor chemistry
Answer:
12
Step-by-step explanation:
First,
Add 45+52+15
Then the answer will be 112
Then -(minus) from 100
Answer:
18 students
Step-by-step explanation:
45 - 15 = 30 students only read physics
52 - 15 = 37 students only read chemistry
15 students read both
add all of them:
30 + 37 + 15 = 82
subtract the sum from 100
100 - 82 = 18
18 students doesn't study neither
In a pre-election poll, 58% of a large random sample of voters responded as planning to vote for the school enhancement millage. A 95% confidence interval was computed for the proportion of all such voters who plan to vote for the school enhancement millage. Review each of the following statements regarding the meaning of the 95% confidence level. Determine if it is a correct (true) meaning or incorrect (false).
Answer: Hello the statement related to your question is missing attached below is the statement
answer : The statement is false
Step-by-step explanation:
The statement is false
This is because a confidence interval gives a range of values for an unknown parameter.
A 95% confidence interval is calculated and it gives a lower and upper limit in which the 58% of the voters can fall into i.e. The 58% of voters can fall within the upper and lower limit of the 95% confidence interval and not exactly 95% . Hence the statement is false.
Hallar un par ordenado (x,y) que sea una solución de la ecuación.
6x+y=9
How was Franklin D. Roosevelt a lasting impact even on today's society
Answer:
Franklin Delano Roosevelt, often referred to by his initials FDR, was an American politician who served as the 32nd president of the United States from 1933 until his death in 1945. A member of the Democratic Party, he won a record four presidential elections and became a central figure in world events during the first half of the 20th century. Roosevelt directed the federal government during most of the Great Depression, implementing his New Deal domestic agenda in response to the worst economic crisis in U.S. history. As a dominant leader of his party, he built the New Deal Coalition, which defined modern liberalism in the United States throughout the middle third of the 20th century. His third and fourth terms were dominated by World War II, which ended shortly after he died in office.
Step-by-step explanation:
to this ‘Great Man Theory’ it can be said that Franklin Delano Roosevelt upheld his victorious and highly regarded government through means of social, economic and political reforms, as well as ambitious personal and strategic decisions that have successfully remained influential to American society today and maintained his image as a prominent historic leader.
There were 20 boys and 26 girls in a chess club last year. This year the number of boys increased by 30% but the number of girls decreased by 15%. Was there an increase or
decrease in overall membership?
Step-by-step explanation:
Boys
[tex]20 + (20 \div 100)30 = \\ = 20 + 0.2 \times 30 = \\ = 20 + 6 = \\26[/tex]
Girls
[tex]26 - (26 \div 100)15 = \\ = 26 - 0.26 \times 15 = \\ = 26 - 3.9 = \\ = 22[/tex]
Total last year 46
Total this year 48
Increase
pls help me for a second
Answer:
do you need Anything else? hope i helped u
Can you help me please?!
30.) d=26
Take the equation
2 x (7 + d)
Now plugin 6 for d
2 x (7 + 6)
2 x (13)
26
31.) c
Take the equation
16b+8/2
Now plugin 4 for b
16(4)+8/2
64+8/2
64+4
68
Write the equation of the line (y = mx+b) that has a slope of 2/3 and passing through the point (-6, 4)
Answer:
y = 2/3x + 4
Step-by-step explanation:
y = 2/3x + b
substitute
4 = 2/3(-6) + b
4 = -4 + b
what number added to -4 will equal 4? the only answer is 8.
-4 + 8 = 4.
b = 4
Find the unknown value: x + 9 = 16 * 6 5 7
Answer:
X=10,503
Step-by-step explanation:
x+9=16×657
X+9=10,512
X=10,512-9
X=10,503
Columbia County needs 757 pieces of pipe to repair some water lines. If each box contains 3 pieces of pipe, how many boxes should the county buy?
Answer:
253 boxes
Step-by-step explanation:
757/3 = 252.33
I NEED HELP ASAP!!!!!!!!!
Answer:
a=81.0
there ya go
giving brainliest *easy*
A, B, C, OR D. WILL MARK ANSWER BRAINLIEST.
Answer:
C
Step-by-step explanation:
all points on the line of the equation y = 1 will have the number 1 as the y-value in each ordered pair
y = 1 is a horizontal line which intersects the y-axis at (0, 1)
Need help question #1. Show steps please
Answer:
C
Step-by-step explanation:
We want to integrate:
[tex]\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx[/tex]
Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:
[tex]u=4x^5+15x+2[/tex]
By differentiating both sides with respect to x:
[tex]\displaystyle \frac{du}{dx}=20x^4+15[/tex]
We can "multiply" both sides by dx:
[tex]du=20x^4+15\,dx[/tex]
And divide both sides by 5:
[tex]\displaystyle \frac{1}{5}\, du=4x^4+3\,dx[/tex]
Rewriting our original integral yields:
[tex]\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)[/tex]
Substitute:
[tex]\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)[/tex]
Simplify:
[tex]\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du[/tex]
This is a common integral:
[tex]\displaystyle =\frac{1}{5}\ln|u|[/tex]
Back-substitute. Of course, we need the constant of integration:
[tex]\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C[/tex]
Our answer is C.
Please can yo help me I am very bad at word problems.
Answer:
1. 60, 122 feet
2. a + s = 12
6a + 4s = 59
Step-by-step explanation:
I can't do all of them but I'll do the first 2:
1.
let w be the width of the rectangle
Then the length would be 2w + 2
Using those, the perimeter would be:
2w + 2 + 2w +2 + w + w = 364
solving:
[tex]6w + 4 = 364\\6w = 360\\w = 60[/tex]
This means the length would be:
[tex]2(60)+2\\120 + 2\\122[/tex]
2.
let a be the number of adult tickets
let s be the number of student tickets
Then:
The total number of tickets is 12, so:
a + s = 12
And the total cost is 59, so:
6a + 4s = 59
Write the polynomial in standard form: I need help with this
Write the polynomial in standard form:
18
Need help fast please
Answer:
Step-by-step explanation:
#1 is 24k^15
just add the #
#2 4096
4x4x4=64^2
64x64
=4096
The inspection division of the Lee County Weights μ. and Measures Department is interested in estimatin actual amount of soft drink that is placed in 2- to at the local bottling plant of a large nationally tles known soft-drink company. The bottling plant has ision that the standard deviation for 2-liter bottles is 0.05 liter. A random sanm ple of 100 2-liter bottles obtained from this botting plant indicates a sample average of 1.99 liters Section 8 (a) Set up a 95% confidence interval estimate of the (b) Does the population of soft-drink fill have to be (c) Explain why an observed value of 2.02 liters is not true average amount of soft drink in each bottle. normally distributed here? Explain. 8. unusual, even though it is outside the confidence interval you calculated. uppose that the sample average had been 1.97 liters. What would be your answer to (a)?
Answer:
hello your question is poorly written attached below is the complete question
answer
a) ( 1.9802 , 1.9998 )
b) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean.
c) A single value of 2.02 is not unusual
d) (1.9602, 1.9798)
Step-by-step explanation:
A) set up 95% confidence interval estimate
std = 0.05 liter
average ( mean ) X = 1.99 liters
n = 100
95% confidence interval = X ± [tex]Z_{95%}[/tex] ( std / √n )
= 1.99 ± 1.96 ( 0.05 / √100 )
= ( 1.9802 , 1.9998 )
B) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean. as seen in this scenerio the value of n > 30 and sampling distribution of X is required instead
C) A single value of 2.02 is not unusual because the confidence interval we calculated above is for 100 samples of the soft drink ( using true population mean ) but when we calculate for a one sample we will observe that the value ( 2.02 ) will not be unusual e.g. ( 2 ± 2*0.05 ) = ( 1.9, 2.1 )
D) when the sample average ( X ) = 1.97
confidence interval = X ± [tex]Z_{95%}[/tex] ( std / √n )
= 1.97 ± 1.96 ( 0.05 / √100 )
= (1.9602, 1.9798)
There are four sub-parts in the question, whose answers are mentioned below:
Given information:
Mean of sample = [tex]\overline{x}[/tex] =1.99
Standard deviation of population= [tex]\sigma[/tex] = 0.05
Size of sample = n = 100
Part a: Setting 95% confidence interval
[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.99 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9802, 1.9998)\\[/tex]
Part b: Yes, the population has to be normally distributed here, since the CI here cannot be calculated without it being normally distributed.
Part c: It is because we took n = 100 and not for single value of observation. The single value of observation has 2 liter or value is 2, and 2.02 is near 2 thus not an unusual value.
Part d: If sample average be 1.97, then CI will be as follows:
[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.97 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9602, 1.9798)\\[/tex]
Learn more here:
https://brainly.com/question/2396419