Answer:
(x, y) → (x + 8, y + 4)
Step-by-step explanation:
Answer: C
Step-by-step explanation
Just took the test
If the federal government collects $1500 from every tax payer but spends $2500 on each tax payer every 12 months what is a function that would describe the amount of money earned by the government
Answer:
The government loses $1000 per tax payer, according to the following function:
[tex]y(x) = -1000*x[/tex]
Where "y" is the total money earned by the government and "x" is the number of tax payers.
Step-by-step explanation:
Let's call the monetary balance of the government after one year "y", where "x" is the number of tax payers. Since each tax payer, "x", pays a total of $1500 every year, but the government spends $2500 with each one of them, then we can build a function "y(x)", with the value of collected tax being positive while the cost of each tax payer is negative, as shown below:
[tex]y(x) = 1500*x - 2500*x\\y(x) = x*(1500 - 2500)\\y(x) = -1000*x[/tex]
The government loses $1000 per tax payer.
What is the length of the diagonal, d, of the cube shown below?
Round your answer to the nearest tenth
Answer:
103.8
Step-by-step explanation:
Length of diagonal of a cube is given by the formula:
[tex]d = side \times \sqrt{3} \\ \\ \therefore \: d = 60 \times \sqrt{3} \\ \\ \therefore \: d = 60 \times 1.73 \\ \\ \therefore \: d = 103.8 \: units[/tex]
The length of the diagonal of the cube is 103.9 units.
What is a cube?
A cube is a three dimensional figure or object which has all the side with equal length.
The length of each side of the cube = a = 60 units.
Therefore, the length of the diagonal of the cube = d = a[tex]\sqrt{3}[/tex] = 60[tex]\sqrt{3}[/tex] units = 103.9 units.
Learn more about a cube here: https://brainly.com/question/21270976
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If /61 is the longest side length in the triangle, find the value of x that makes the triangle above a right triang
answer in simplest radical form.
A. 5
B. 6
C. 2V15
D. 6V10
Answer:
A. 5
Step-by-step explanation:
The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.
From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:
(√61)² = (x)² + (x + 1)²
x² + x² + 2x + 1 = 61
2x² + 2x + 1 - 61 = 0
2x² + 2x -60 = 0
Dividing through by 2 gives:
x² + x - 30 = 0
x² + 6x - 5x - 30 = 0
x(x + 6) -5(x + 6) = 0
(x-5)(x+6) = 0
x-5 = 0 or x+6 = 0
x = 5 or x = -6
Since the length of a side cannot be negative, x = 5 units
Answer:
The correct answer is A.
Step-by-step explanation:
X=5
CDEF is a kite and m∠FCE = 46. Find m∠3.
a. 32
b. 44
c. 23
d. 46
HEYA BUDDY
.
.
YOUR ANSWER IS 44
.
HOPE IT WILL HELP YOU UP
HAVE A GREAT DAY
ĶÁŤÉ
How many triangles can be formed
Answer:
2
Step-by-step explanation:
2
Select the correct answer.
What is the simplest form of the ratio 11 : 16?
A.
1:6
B
5:8
c.
11.16
D.
22:32
Answer:
C
Step-by-step explanation:
The ratio 11:16 cannot be simplified
Answer:
Its already in simplest form
Step-by-step explanation:
You can think of it as a fraction. you cant divide 11 by anything besides 1 and itself. 11 doesnt go into 16 at all, completely. So the ratio cant be simplified
Find the difference.
(5x2 + 2x + 11) - (7 + 4x - 2x2)
A.
3x2 + 6x + 4
B.
9 - 2x - 2x2
C.
3x2 - 2x + 4
D.
7x2 - 2x + 4
Answer:
D
Step-by-step explanation:
Answer:
D.) 9 − 2x − 2x2
Solve the following equation for x.
15x^2 – 46x + 16 = 0
Answer:
X=2/5,8/3
Step-by-step explanation:
Look on Tiger Algebra for step by step. JUst put the problem into g-oogle.
Answer:
X=8/3,2/5
Step-by-step explanation:
The total time that Ken and Bob worked in a week was 63 hours. Ken worked 36 hours. What is the ratio of Bob's working hours to Ken and Bob's total working hours?
Answer:
33
Step-by-step explanation:
beacause you have to minus to find th aspect ratio I beleive.
Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that apply. p ∧ q p ∨ q p → q q → p p ↔ q q ↔ p
Answer:
p ∨ q → True
(q → p) → True
Step-by-step explanation:
If the truth value of the statement p is 'True' and truth value of statement q is 'False',
p ∧ q → False [Conjunction of both the statements will be true only when both the statements are True]
p ∨ q → True [Disjunction of two statements will be false only when both the statements are false]
(p → q) → False
(q → p) → True [Implication of both the statements is false only when p is true and q is false otherwise true]
(p ↔ q) → False [Bi-conditional statements are true if and only when both the statements are true]
(q ↔ p) → False
Answer:
Your answer would be answer two and four.
if f(x) is a linear function and the domain of f(x) is the set of all real number which statement cannot be true?
Options:
The graph of f(x) has zero x-intercepts. The graph of f(x) has exactly one x-intercept. The graph of f(x) has exactly two x-intercepts. The graph of f(x) has infinitely many x-intercepts.Answer:
(C)The graph of f(x) has exactly two x-intercepts.
Step-by-step explanation:
Given a linear function f(x)=ax+b where the domain of f(x) is the set of all real numbers, x.
(A)If f(x)=y, the graph of f(x) will have zero x-intercepts except at y=0 which is the equation of the x-axis.
(B)A linear function can only intersect the x-axis at exactly one point.
(D)When the linear function is f(x)=0, all points of x are x-intercepts of f(x). Therefore f(x) will have infinitely many x-intercepts at this point.
However:
A straight line cannot intersect the x-axis twice, therefore the graph of f(x) cannot have two x-intercepts.
The statement which cannot be true is Option C.
Answer:
C
Step-by-step explanation:
yes
Find the inverse of f(x) = e^x + 7
Answer:
f^-1(x) = ln(x - 7)
Step-by-step explanation:
f(x) = e^x + 7
y = e^x + 7
x = e^y + 7
e^y = x - 7
ln(e^y) = ln(x - 7)
y = ln(x - 7)
f^-1(x) = ln(x - 7)
Help me ASAP please.
If two lines intersect and one angle measures 25°, what are the measures of the other angles?
25
75
155
125
Answer:
Two Lines that intersect from TWO angles. The sum of the Two Angles is always 180 degrees.
180 Minus 25 = 155.
Step-by-step explanation:
Please Help!!! Examine parallelogram ABCD. Opposite sides AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ have lengths of 4y and y+42, respectively. Determine the value of y and answer the following question. Quadrilateral A B C D with side measures as given in the problem. What is the length of AB¯¯¯¯¯¯¯¯?
Answer:
y = 14
Length of AB = 56 units
Step-by-step Explanation:
==>Given:
Parallelogram ABCD, with the following lengths:
AB = 4y
DC = y + 42
==>Required:
a. Value of y
b. Length of AB
==>Solution:
i. Recall that one of the properties of a parallelogram is that opposite sides are congruent. This implies that side AB is congruent to DC.
To find the value of y, let's set the opposite sides of the parallelogram equal to each other (i.e. AB = DC)
Thus,
4y = y + 42
Subtract y from both sides
4y - y = y + 42 - y
3y = 42
Divide both sides by 3
3y/3 = 42/3
y = 14
ii. Length of AB = 4y
Plug the value of y
Length of AB = 4(14)
Length of AB = 56 units
Find the slope of the line that goes through the points (12,-12) and (-3,13).
slope,m=________
Enter your answer as an integer or a reduced fraction in the form A/B
Answer:
-5/3
Step-by-step explanation:
The slope of a line is found by
m = (y2-y1)/(x2-x1)
= (13- -12)/(-3 -12)
= ( 13+12) / (-15)
25/-15
-5/3
The right answer is -5/3
please see the attached picture for full solution
Hope it helps..
Good luck on your assignment..
Work out the length x.
+
7.5 cm
16 cm
Answer:
x ≈ 17.67 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 16² + 7.5² = 256 + 56.25 = 312.25 ( take the square root of both sides )
x = [tex]\sqrt{312.25}[/tex] ≈ 17.67 ( to 2 dec. places )
The measure of hypotenuse length x would be 17.67 cm
What is Pythagoras Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|² = |AB|² + |BC|²
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Using the Pythagoras' identity in the right angled triangle.
hypotenuse² = perpendicular² + base²
x² = 16² + 7.5²
x²= 256 + 56.25
x²= 312.25
Now take the square root of both sides
x = √312.25
x = ≈ 17.67 ( to 2 dec. places )
Therefore, the measure of hypotenuse length x would be 17.67 cm
Learn more about Pythagoras theorem here:
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Help please! look at the attachment
Answer:
B
Step-by-step explanation:
Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.
Answer:
is greater than
Step-by-step explanation:
The answer is C less than we got it wrong
Step-by-step explanation:
HELP ME PLEASE ITS NOT THAT HARD
Answer:
tan A = 28/45
Step-by-step explanation:
opposite side
the tangent function is defined as tan A = ------------------------
adjacent side
Here the length of the side opposite angle A is 28 and that of the side adjacent to A is 45. Thus, the tangent of angle A is
tan A = 28/45
Determine the x-intercepts of the following equation.
(-x + 5)(-x - 2) = y
(-10,0
(5,0) and (-2,0)
(0,10)
(0, -10)
(5,0) and (2,0)
O(0,5) and (0, -2)
Answer:
(5,0) and (-2,0)
Step-by-step explanation:
In order to find the x intercept, the y value has to be zero, this automatically eliminates several of the options. What you can do is plug in 0 for y and see what the answer is. If you get stuck, you can also guess and check.
Is 1/2x-4 a function?
Answer:
Yes it is
Step-by-step explanation:
Each x value is represented by exactly one y value.
Sean is travelling. He has a flight of 4 hours 20 minutes, a stopover of 35 minutes and then another flight of 3.75 hours. What is his total travel time? Give your answer in hours and minutes.
Answer:
Th=8[tex]\frac{2}{3}[/tex]h Tmin=520min
Step-by-step explanation:
4h 20min = 13/3h = 260min
35min = 7/12h
3.75h = 15/4h = 225min
Total in min: 225+260+35=520min
Total in h: 520/60=52/6=8[tex]\frac{4}{6}[/tex]=8[tex]\frac{2}{3}[/tex]h
12. Which of the following numbers is
contained in the solution set of the
inequality 1-5x + 35| > 20?
A
-1
B
3
С
9
D
10
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
which of the following is equivalent to the radical expression below √8x^5
compare: 6/11 to 5/9 which one is greater
Answer:
5/9 is greater
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
A computer manufacturer estimates that its cheapest screens will last less than 2.8 years. A random sample of 61 of these screens has a mean life of 2.4 years. The population is normally distributed with a population standard deviation of 0.88 years. At α=0.02, what type of test is this and can you reject the organization’s claim using the test statistic?
Answer:
The test is left - tailed
We cannot reject the organization's claim ( its cheapest screens will truly last less than 2.8 years)
Step-by-step explanation:
Sample size, n = 61
Sample mean, [tex]\bar{X} = 2.4[/tex]
Standard deviation, [tex]\sigma = 0.88[/tex]
Significance level, α=0.02
Null hypothesis, [tex]H_{o} : \mu = 2.8[/tex]
Alternative hypothesis, [tex]H_{a} : \mu < 2.8[/tex]
It is clearly seen from the alternative hypothesis, that it is a left tailed test. It is not tailed towards the two directions.
Calculate the test statistic:
[tex]Z = \frac{\bar{X} - \mu}{\sigma/\sqrt{n} } \\Z = \frac{2.4 - 2.8}{0.88/\sqrt{61} }\\Z = - 3.55[/tex]
Calculate the P-value:
P(Z < -3.35) = 0.0002
Since (p-value = 0.0002) < (α=0.02), the null hypothesis is rejected.
It can therefore be concluded that the mean of the cheapest screen is less than 2.8 years. i.e. the cheapest screen will last less than 2.8 years
Answer:
The null and alternative hypotheses:
H0: u = 2.8
H1: u < 2.8
This is a left - tailed test.
For test statistics, use the formula:
[tex] Z = \frac{x' - u}{\sigma/ \sqrt{n}} [/tex]
Where,
Mean, u = 2.8
Sample mean,x' = 2.4
Sample size, n = 61
Standard deviation [tex] \sigma [/tex] = 0.88
Significance level = 0.02
[tex] Z = \frac{2.4 - 0.02}{0.88/ \sqrt{61}} =-3.55[/tex]
Test statistics, Z = -3.55
Pvalue:
Pvalue of Z = -3.55 using standard normal table,
NORMSTID(-3.55) = 0.00019
Pvalue = 0.0002
Critical value:
Since this is a left tailed test, the critical value at 0.02 level of significance is:
[tex] Z_\alpha = Z_0_._0_2 = -2.05 [/tex]
Decision: If pvalue is less than level of significance reject null hypothesis H0.
Conclusion:
Since pvalue, 0.00019 is less than level of significance, 0.02, reject null hypothesis, H0.
We conclude that the mean life of the cheapest screen is less than 2.8 years
1⁄7 + 1⁄2 + 3⁄4 =jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answer:j=39/28 or 1.392857 or 1 11/28
Step-by-step explanation:
I assume that you are looking for j
1⁄7 + 1⁄2 + 3⁄4=j
9/14+3/4
39/28
c) work out the value of 3² + 2³
d) work out the value of 2⁴ - 3²
Answer:
a) 2^6 = 2 x 2 x 2 x 2 x 2 x 2 = 64
b) 7^4 = 7*7*7*7 = 2401
c) 3^2 + 2^3
= 9 + 8
= 17
d) 2^4 - 3^2
= 16 - 9
= 7
If mr. burts spent $3.87 on grapes from kroger and bought 3.05 pound,How much was each pound? A)1.25 B)$2.80 C)$ PLZ HURRY
Answer:
A) $1.25
Step-by-step explanation:
If you divide the 3.87 by 3.05 you will approximately get 1.25
PLZ PLZ PLZ HELP HELP HELPPP 14 Find the area of the semicircle. Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.
Answer:
The area of semi-circle is 2π units²
Step-by-step explanation: