9514 1404 393
Answer:
rules of signs apply
Step-by-step explanation:
The point-slope form of the equation for a line of slope m through point (h, k) is ...
y -k = m(x -h)
If the point coordinates are positive, their values show up in the equation with a minus sign.
Example:
slope 2, point (3, 4)
y -4 = 2(x -3)
__
If a point coordinate is negative, its value shows up in the equation with a plus sign.
Example:
slope 2, point (-3, 4)
y -4 = 2(x -(-3)) . . . . fill in the given value
y -4 = 2(x +3) . . . . . simplify according to sign rules
__
The slope keeps its sign.
Example:
slope -1/2, point (-3, 4)
y -4 = -1/2(x +3) . . . . we only changed the slope from the previous example
Answer:
teehee
Step-by-step explanation:
:)
The Temperature is 50F. The temperature will decrease by 4F each hour. Let h be the numbers of hours.
When will the temperature below 32F
Write inequality for this equation.
C. and D. arrows are suppose to have lines under them.
A. 50 - 4h< 32
B. 50 + 4h < 32
C. 50 + 4h <_32
D. 50 - 4h <_ 32
Answer:
a. 50 - 4h < 32
Step-by-step explanation:
The question is "When will the temperature be below 32F?" so it can't be less than or equal to (≤), it has to be less than (<).
If the temperature is decreasing every hour you have to decrease 4 for each hour.
hope that helps!
A random sample of 300 circuits generated 13 defectives. Use the data to test the hypothesis Upper H Subscript 0 Baseline colon p equals 0.05 against Use . Find the P-value for the test.
Complete Question
A random sample of 300 circuits generated 13 defectives. a. Use the data to test
[tex]H_o : p = 0.05[/tex]
Versus
[tex]H_1 : p \ne 0.05[/tex]
Use α = 0.05. Find the P-value for the test
Answer:
The p-value is [tex]p-value = 0.5949[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 300
The number of defective circuits is k = 13
Generally the sample proportion of defective circuits is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = \frac{13}{300}[/tex]
=> [tex]\^ p = 0.0433[/tex]
Generally the standard Error is mathematically represented as
[tex]SE = \sqrt{\frac{p(1- p)}{n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.05(1- 0.05)}{300} }[/tex]
=> [tex]SE = 0.0126[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{SE}[/tex]
=> [tex]z = \frac{0.0433 - 0.05 }{0.0126}[/tex]
=> [tex]z = -0.5317[/tex]
From the z table the area under the normal curve to the left corresponding to -0.5317 is
[tex](P < -0.5317 ) = 0.29747[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z < -0.5317 )[/tex]
=> [tex]p-value = 2 * 0.29747[/tex]
=> [tex]p-value = 0.5949[/tex]
Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KM = 15.3. JKM is a right triangle because KM = 18.2. JKM is not a right triangle because KM ≠ 15.3. JKM is not a right triangle because KM ≠ 18.2.
Answer:
c
Step-by-step explanation:
,
Answer:
The Answer is C
Step-by-step explanation:
Find the antiderivative of f (x) = 10x4 + 12.5.
Answer:
The anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
Step-by-step explanation:
Given the function
[tex]\:f\left(x\right)=10x^4\:+\:12.5[/tex]
Taking the anti-derivative of f(x)
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:[/tex]
[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
Solving
[tex]\int 10x^4dx[/tex]
[tex]\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]
[tex]=10\cdot \int \:x^4dx[/tex]
[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]
[tex]=2x^5[/tex]
similarly,
[tex]\int 12.5dx[/tex]
[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]
[tex]=12.5x[/tex]
so substituting these values
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
[tex]=2x^5+12.5x[/tex]
[tex]=2x^5+12.5x+C[/tex] ∵ Add constant to the solution
Therefore, the anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.
Answer:
S(-2, -3)
Step-by-step explanation:
Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;
S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;
x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1
Substitute the values into the formula;
X = ax2+bx1/a+b
X = 3(-1)+1(-5)/3+1
X = -3-5/4
X = -8/4
X = -2
Similarly;
Y = ay2+by1/a+b
Y = 3(-5)+1(3)/3+1
Y = -15+3/4
Y = -12/4
Y = -3
Hence the coordinate of the point (X, Y) is (-2, -3)
y> 3x +3
1
yer - 2
트로
Answer:
Is this in a different language?
Step-by-step explanation:ok:)
Which letter has reflectional, rotational, and point symmetry?
O
P
Q
L
estimate the quotient
7÷1,611
estimated
Answer:
The answer is 230.14
Easy long division
Mike made a 9-inch sub sandwich. He needs to cut it into 2/3 inch pieces. How many pieces will he be able to cut?
Divide total length by cut length:
9 / 2/3
= (9 x 3)/2 = 27/2 = 13.5
He can cut 13 pieces
Ade is baking mini-loaves of bread. How many mini-loaves could he make with 10 cups of flour?
12.5
15
25
50
Answer
10
Step-by-step explanation:
it takes 3/4 of a cup to make a mini loaves of bread and 3/4 is about one cup so 10
The number of mini-loaves that he could make with 10 cups of flour will be 25 cups.
From the complete information, it was stated that 1 cup of flour can be used to make 2.5 loaves.
Therefore, based on the information given, in order to calculate the number of mini-loaves that he could make with 10 cups of flour, we've to multiply the values. This will be:
= 2.5 × 10 = 25
In conclusion, the correct option is 25 cups.
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x^2- 11 = 70 I need help on how to solve this
Answer: Add 11 to the other side of the equation, giving you 81. Then, since x is square you are going to need to square root both sides ([tex]\sqrt{x}[/tex] this symbol). When you do that, you should get what x is! Let me know if you still need help!
Which statement about 2 +3x is true?
Answer:
B is the correct answer
Step-by-step explanation:
I dont know what are the statements add more detail to the question then I will answer
Please help me with this thanks
Answer:
no
Step-by-step explanation:
No, because none of the factors of 29 equal to -1
Matt is helping to set up drinks and snacks for a luncheon.
Matt has 4.8 liters of iced tea. He is going to pour this into pitchers that can each only hold 0.8 liters of iced tea.
If Matt pours an equal amount of iced tea into each pitcher, how many pitchers does he fill?
Answer:
he will fill 6 pitchers
Step-by-step explanation:
4.8÷0.8=6
WILL MARK BRAINLIEST
Heyyy no funny buisness i need answes ASAP
Max ran 5 miles on Thursday. One mile is equal to 5,280 feet. Which proportion can be used to determine how many feet, x, Max ran on Thursday?
EMERGENCY Linda’s adding padding to all the surface inside her attic for extra warmth in the winter she needs to find the approximate surface area of the attic including walls floors and ceilings the attic is in the shape of a triangular prism Linda draws the net and writes the expression below to represent the surface area of the attic Are Linda’s net and expression correct?
Answer:
4350
Step-by-step explanation:
Linda's net and first term of the expression is correct and the surface area of the attic is 4425 square feet.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given the attic of Linda's home.
Attic is in the shape of triangular prism.
The net that Linda drawn is correct since she expresses all the measurements right in the net.
So, the net Linda drew is correct.
We can find the surface area from the net of the prism.
Net of the prism consists of 2 identical triangles, 2 identical rectangles and a rectangle.
Area of triangle is [tex]\frac{1}{2}[/tex] × base × height and that of rectangle = length × width
Area of 2 triangles = 2 × [tex]\frac{1}{2}[/tex] × 25 × 15 = 25 × 15
Area of rectangles = (45 × 40) + (45 × 25) + (45 × 25)
= 45(40 + 25 + 25)
Total surface area = 45(40 + 25 + 25) + (25 × 15)
The first term of Linda's expression, 45(40 + 25 + 25) is correct.
The second term of Linda's expression, ([tex]\frac{1}{2}[/tex] × 25 × 15) is not correct.
Surface area of the attic = 45(40 + 25 + 25) + (25 × 15)
= 4425 square feet
Hence the surface area of the attic is 4425 square feet.
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The complete question is given below.
The difference between a number and 25
Answer:
x-25
Step-by-step explanation:
the number is x and the subtraction is the difference
HELP HELP HELP First to HELP gets the brainliest :D
Answer:
[tex]y= -\frac{1}{3}x -6[/tex]
Step-by-step explanation:
Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!
I added in the slope formula at the bottom, just in case, so you'll see what I mean!
I hope this helps, and I explained enough! Have a great day c:
The cost for a company to produce a part for d days is represented by the function
f(d) = 325d +8,795.
What does the value 8,795 represent in this situation?
Options: each day,the total cost decreases by $8795 or each day the total cost increases by 8795 or the initial cost is 8795 or the total cost to produce a part for d days is 8795...plz help
Answer:
Hi,
The equation of a linear function has the following format:
[tex]y = mx + b[/tex]
Where represents the value of for when is equal to zero.
Therefore, 8795 can be considered the initial value for production.
Step-by-step explanation:
The graph of a linear function is the same as the example below:
As noted in the figure, the value of [tex]b[/tex] provides the value of [tex]y[/tex] when [tex]x[/tex] is null. This is also called the linear coefficient of the line (or intercept)
The value of [tex]m[/tex] represents the rate of change of the function and is linked to the slope of the line.
Any questions just ask in the comments.
Since the equation given is f(d) = 325d +8,795, the value that 8,795 represent in this situation is the initial cost.
The given equation in this case is f(d) = 325d +8,795, it should be noted that 8795 is the fixed cost. On the other hand, the expression 325d represents the variable cost.
325d means that the cost will increase each day by that amount. Therefore, the value that 8,795 represents in this situation is the initial cost.
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A) write an explicit formula for the sequence 12, 16, 20, 24 B) Find the 11th term of the sequence *
Answer:
[tex]T_n = 8+ 4n[/tex]
[tex]T_{11} = 52[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 12, 16, 20, 24[/tex]
Solving (a): Write a formula
The above sequence shows an arithmetic progression
Hence:
The formula can be calculated using:
[tex]T_n = a + (n - 1) d[/tex]
In this case:
[tex]a = First\ Term = 12[/tex]
Difference (d) is difference of 2 successive terms
So:
[tex]d = 16 - 12 = 20 - 16 = 24 - 20[/tex]
[tex]d = 4[/tex]
Substitute 4 for d and 12 for a in [tex]T_n = a + (n - 1) d[/tex]
[tex]T_n = 12 + (n - 1) * 4[/tex]
Open Bracket
[tex]T_n = 12 + 4n - 4[/tex]
Collect Like Terms
[tex]T_n = 12 - 4+ 4n[/tex]
[tex]T_n = 8+ 4n[/tex]
Hence, the explicit formula is: [tex]T_n = 8+ 4n[/tex]
Solving (b): 11th term
This implies that n = 11
Substitute 11 for n in: [tex]T_n = 8+ 4n[/tex]
[tex]T_{11} = 8+ 4 * 11[/tex]
[tex]T_{11} = 8+ 44[/tex]
[tex]T_{11} = 52[/tex]
Answer:
A) The explicit formula for the sequence is [tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex].
B) The 11th term of the sequence is 62.
Step-by-step explanation:
A) Let [tex]f(0) = 12[/tex], we notice that sequence observes an arithmetic progression, in which there is a difference of 4 between two consecutive elements. The formula for arithmetic progression is:
[tex]f(n) = f(0) +r\cdot n[/tex] (1)
Where:
[tex]f(0)[/tex] - First value of the sequence, dimensionless.
[tex]r[/tex] - Arithmetic increase rate, dimensionless.
[tex]n[/tex] - Term of the value in the sequence, dimensionless.
If we know that [tex]f(0) = 12[/tex] and [tex]r = 4[/tex], then the explicit formula for the sequence is:
[tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex]
B) If we know that [tex]f(n) = 12+4\cdot n[/tex] and [tex]n = 10[/tex], the 11th term of the sequence is:
[tex]f(10) = 12+4\cdot (10)[/tex]
[tex]f(10) = 62[/tex]
The 11th term of the sequence is 62.
Solve. Write the fraction in simplest form.
8
Mr. and Mrs. Smith have a home equity loan of $24,000. They have paid off of the
20
loan. How much of the loan have they paid off?
Answer:
Step-by-step explanation:
Equity loan amount = $24,000.
percentage paid off = 20%
Required
The amount paid off
The amount paid off = 20% of the loan amount
Amount paid off = 20/100 * 24000
Amount paid off = 0.2 * 24000
Amount paid off = 4800
Hence the amount of the loan paid off is $4,800
Determine if y=5/4x +1 and y=5/4x-7 are parallel, perpendicular, or neither
Answer:
they are parallel
Step-by-step explanation:
they have the same slope
The lines represents the parallel line.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
y=5/4x +1 and y=5/4x-7
4y= 5x+ 4 and 4y= 5x-7
Now, [tex]a_1[/tex]= 4, [tex]b_1[/tex]= 5, [tex]c_1[/tex]= 4
[tex]a_2[/tex]= 4, [tex]b_2[/tex]= 5, [tex]c_2[/tex]= -7
Now, on comparing the ratio we have
[tex]a_1[/tex]/[tex]a_2[/tex] = [tex]b_1[/tex]/ [tex]b_2[/tex] ≠ [tex]c_1[/tex]/ [tex]c_2[/tex]
Hence, the lines represents the parallel line.
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2x + y = 9
5x + 3y = 26
Answer:
7X+4y=35
Step-by-step explanation:
An investment that costs $5,000 will produce annual cash flows of $3,000 for 3 years. Using a required return of 8%, the investment will generate a NPV of $
Answer:
The investment will generate a NPV of $2,731.
Step-by-step explanation:
Cost of an investment (PV) = $5,000
Annual cash flows = $3,000
Period of investment = 3 years
Interest rate of return = 8%
Annuity Factor = 2.577 (for 3 years at 8% per year)
Present value of the annuity = $3,000 * 2.577 = $7,731
NPV = Annuity PV minus PV of investment cost
= $7,731 - $5,000
= $2,731
b) The NPV (net present value) of $2,731 is the difference between the present value of the annual cash flows $7,731 and the investment cost of $5,000. The resulting NPV is positive and the investment should be accepted.
What’s the angles relationship ?
Answer:
IF YOU ARE TALKING ABOUT ANGLES 1 AND 2
They add up to 180 degrees
if you want the measures of them, ANGLE 1 = 140 degrees ANGLE 2 = 180-140=40 degrees
Step-by-step explanation:
They are Supplementary angles, which means they add up to 180 degrees
HOPE THIS HELPPPSSSSSSSSSSS
Which equation represents table 1
Which equation represents table 2
Which equation represents table 3
Which equation represents table 4
Which equation represents table 5
Answer:
1 y=3x 2 y=38x 3 y=202x 4 y=2x 5 y=16x
Step-by-step explanation:
Answer:do yo use I’ll need help
Step-by-step explanation:
What are the values of a and b?
a=
b=
Answer:
The values of a and b are:
a = 2[tex]b=4[/tex]Step-by-step explanation:
Given the exponential model
[tex]y=a\cdot \:b^x[/tex]
Given the points
(0, 2) and (3, 128)
We know that the y-intercept of [tex]y=a\cdot \:b^x[/tex] is (0, a).
so
a = 2
putting x = 3, y = 128 and a = 2
[tex]y=a\cdot \:b^x[/tex]
[tex]128=2\cdot \:b^3[/tex]
Switching sides
[tex]2b^3=128[/tex]
[tex]\frac{2b^3}{2}=\frac{128}{2}[/tex]
[tex]b^3=64[/tex]
Taking the real value such as:
[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)}[/tex]
so
[tex]b=\sqrt[3]{64}[/tex]
[tex]b=\sqrt[3]{4^3}[/tex]
[tex]b=4[/tex]
Therefore,
a = 2[tex]b=4[/tex]It costs a baker $13 to make a small cake. He sells 7 small cakes for $280.How much more is the selling price of each cake than the cost?
Answer:
$27 more
Step-by-step explanation:
280 ÷ 7 = 40
40 - 13 = 27
Answer:
$189 baker cakes will be sold
A sphere has a radius of 11 Inches. A horizontal plane passes through the center of the sphere.
Part 1 out of 2
Describe the cross section formed by the plane and the sphere.
It is a (square, circle, or oval) with a radius of in.
Answer:
part 1
circle, 11
part 2
decrease
Step-by-step explanation:
Use the figure to find the measures of the
numbered angles.
1/2
a
107°
b
Answer:
∠1 = 107
∠2 = 73
Step-by-step explanation: