Answer:
see below
Step-by-step explanation: 5 27 7 16
area = 1/2 bh
height of a triangle is 7 ft more than its base
base = b
height = b + 7
area = 30
area = 1/2 b(h)
30 = 1/2 b(b + 7)
30 = 0.5(b²+ 7b)
30 = 1/2 b²+ 3.5b solve for b
1/2 b²+ 3.5b = 30
1/2 b²+ 3.5b - 30 = 0
b²+ 7b - 60 = 0 factor
(b +12)(b - 5) = 0 when b = -12 or 5 base length can't be negative
b = base = 5
area = 1/2 bh 1/2×2(9) = 9
area = 1/2 bh 1/2×5(12) = 60
area = 1/2 bh 1/2×9(16) = 56
area = 1/2 bh 1/2×12(19) = 114
Click on picture to see
Answer:
none of above
Step-by-step explanation:
h(x) = x^2+ 2x- 6
what’s the answer
It equals this graph expression. it's a little cropped, but I'm Sure you know about the y & x axis.
Calculate (0.25) x (0.44). Show your work.
Answer:
0.11
Step-by-step explanation:
0.44/x=100/25
(0.44/x)*x=(100/25)*x
0.44=4*x
0.44/4=x
0.11=x
The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 25. What is the probability we could select a sample of 80 adults and find the mean of this sample is between 95 and 105
Answer:
The probability is 0.6796
Step-by-step explanation:
Given
Population Mean - 100
Population Standard Deviation - 25
As we know
z = x-μ/σ, where:
z is the standard score
x is the raw score
μ is the population mean
σ is the population standard deviation
Z value for mean of sample = 95
z1 = -100+95/25 = -5/25 = -0.2
P value for Z = -0.2 is 0.2912
Z2 = 100-105/25 = 0.2
P(z > 0.2 = 1 - P(z ≤ 0.2) = 1 - 0.0294 = 0.9706
P(-0.2 < z < 0.2) = 0.9706 - 0.2912= 0.6796
The probability is 0.6796
In the coordinate plane, you are given JKL with J(2, 3), K(10,4), and L(6, 10). Using the distance formula, classify JKL
Answer:
Perimeter of JKL = 22.55 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of J = (2,3)
Coordinate of K = (10,4)
Coordinate of L = (6,10)
Find:
Perimeter of JKL
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between JK = √(2 - 10)² + (3 - 4)²
Distance between JK = √64 + 1
Distance between JK = √65
Distance between JK = 8.06 unit
Distance between KL = √(10 - 6)² + (4 - 10)²
Distance between KL = √16 + 36
Distance between KL = √52
Distance between KL = 7.21 unit
Distance between LJ = √(6 - 2)² + (10 - 3)²
Distance between LJ = √4 + 49
Distance between LJ = √53
Distance between LJ = 7.28 unit
Perimeter of JKL = Distance between JK + Distance between KL + Distance between LJ
Perimeter of JKL = 8.06 + 7.21 + 7.28
Perimeter of JKL = 22.55 unit (Approx.)
Function Composition:
Let the function [tex]f(x)= 3x + 2[/tex] and [tex]g(x) = \frac{x+3}{2x-10}[/tex] , determine:
Answer:
Given
f(x) = 3x + 2g(x) = (x + 3) / (2x - 10)#1
g · f(x) = g(f(x)) = (3x + 2 + 3)/ (2(3x + 2) - 10) = (3x + 5) / (6x - 6)#2
f · g(x) = f(g(x)) = 3[(3x + 2) / (2x - 10)] + 2 = (9x + 6) / (2x - 10) + 2 = (9x + 6 + 4x - 20)/ (2x - 10) = (13x - 14) / (2x - 10)the cost of using broadband in a hotel is £30 per hour formula to work out this total this total cost is cost in pounds = 3× number of hours. Workout the total of using boardband for 2 hours and 5 hours
Answer:
10
Step-by-step explanation:
Degree and Radian Measures
What is the degree equivalent of π/4?
a. 180°
b. 90°
c. 120°
d. 45°
Please select the best answer from the choices provided
Answer:
D. 45°
Step-by-step explanation:
I calculated it logically
In XYZ the measure of Z=90 ZY=7, XZ=24 and YX=25 what ratio represents the cosine of X?
Answer:
24/25
Step-by-step explanation:
on delta math
The ratio of cosine of angle X is 24/25.
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.
Given a right triangle, XYZ with angle Y equals 90° and ZY=7, XZ=24 and YX=25
The ratio of the cosine of an angle is the ratio of the base to the hypotenuse of the right triangle,
Here, Cosine of angle X = XZ/YX
cosX = 24/25
Hence, The ratio of cosine of angle X is 24/25.
For more references on trigonometric ratios, click;
https://brainly.com/question/25122825
#SPJ2
Given the definitions of f (x) and g(x) below, find the value of f(g(-6)).
f(x) = x² – 2x +9
g(x) = -3x – 14
Answer:
17
Step-by-step explanation:
What is the distance between points (8,11) and (8,−2) on a coordinate plane?
Enter your answer in the box.
units.
-9x - 12 = -3
Step By Step Pls
Answer:
x = -1
Step-by-step explanation:
-3 +12 = 9
-9x = 9
-9(-1)=9
9 - 12 = -3
What is the surface area?
And an explanation too but if not it’s ok
Answer:
356 cm.
Step-by-step explanation:
Whenever you find the surface area of a rectangular prism, remember this mnemonic:
LISA WILSON LOST HER WITCH HAT TWICE.
(TWICE) 2 (LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT)
In this rectangular prism, the length is 8, the width is 14, and the height is 3 (the order of numbers in length, width, and height does not matter).
Now, we can just plug in the numbers.
LENGTH × WIDTH + LENGTH × HEIGHT + WIDTH × HEIGHT
[tex]2(8*14+8*3+14*3) = 356.[/tex]
Therefore, the surface area of this rectangular prism is 356 centimeters.
Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in carry-out lunch business. The deli offers three luncheon chili specials, Wimpy, Dial 911, Fire Bowl. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes).
The profit on one serving of Wimpy is $0.6, on one serving of Dial 911 is $0.55, and on one serving of Fire Bowl is $0.65.
The following table shows the required ingredients to make one serving of each chili special, and the available amount of each ingredient for today :
Ingredient Required ingredient for each serving of Wimpy Required ingredient for each serving of Dial 911 Required ingredient for each serving of Fire Bowl Available Amount
Beef (lbs) 1 1 1.5 15
Onions (cup) 2 2 2 20
Special Sauce (oz) 5 2 3 90
Hot Sauce (oz) 0 5 6 60
Based on the historical sales data, Kilgore's Deli has the following considerations:
the number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.
the number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.
the available number of servings for Dial 911 must be at least 2.
(1.1) Develop the linear programming model to help determine the number of servings of Wimpy, Dial 911, and Fire Bowl to make in order to maximize his profit today. Type your algebraic formulation in the specified area in Q1 tab of the Excel template. Note you will not get full credits without including the algebraic formulation.
(1.2) Solve your LP model in Excel and fill in the following blanks (show your work in Q1 tab):
The optimal number of servings of Wimpy is
The optimal number of servings of Dial 911 is
The optimal number of servings of Fire Bowl is
The maximum possible profit is
Is there any leftover of ingredients as a result of this optimal solution? if yes, enter the amount. Otherwise, just type 0.
Amount of beef leftover
Amount of onion leftover
Amount of special sauce leftover
Amount of hot sauce leftover
Answer:
z (max) = 6.15
x₁ = 1 x₂ = 3 x₃ = 6
Amount of beef leftover 2 lb
Amount of onions leftover 0
Amount of Special Sauce leftover 61
Amount of Hot Sauce leftover 9
Step-by-step explanation:
Ingredients Beef Onions Special S Hot S Profit
Wimpy (x₁) 1 2 5 0 0.6
Dial 911 (x₂) 1 2 2 5 0.55
Fire Bowl (x₃) 1.5 2 3 6 0.65
Available 15 20 90 60
Objective Function z:
z = 0.6*x₁ + 0.55*x₂ + 0.65*x₃ to maximize
Subject to:
1) Quantity of beef : 15
x₁ + x₂ + 1.5*x₃ ≤ 15
2) Quantity of onions: 20
2*x₁ + 2*x₂ + 2*x₃ ≤ 20
3) Quantity of Special sauce: 90
5*x₁ + 2*x₂ + 3*x₃ ≤ 90
4) Quantity of hot sauce: 60
0*x₁ + 5*x₂ + 6*x₃ ≤ 60
5) Condition: The number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.
x₃ ≥ 0.1 ( x₁ + x₂ + x₃ ) or x₃ ≥ 0.1*x₁ + 0.1 *x₂ + 0.1*x₃
x₃ - 0.1*x₁ - 0.1 *x₂ - 0.1*x₃ ≥ 0
- 0.1*x₁ - 0.1 *x₂ + 0.9 *x₃ ≥ 0
6)Condition: The number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.
x₃ - x₂ ≤ 3
7)the available number of servings for Dial 911 must be at least 2.
x₂ ≥ 2
General constraints:
x₁ ≥ 0 x₃ ≥ 0 all integers
With on-line solver solution is:
z (max) = 6.15
x₁ = 1 x₂ = 3 x₃ = 6
By sbstitution on the constraints
1) x₁ + x₂ + 1.5*x₃ ≤ 15 1 + 3 + 9 = 13
Amount of beef leftover 2 lb
2) 2*x₁ + 2*x₂ + 2*x₃ ≤ 20 2 + 6 + 12 = 20
Amount of onions leftover 0
3) 5*x₁ + 2*x₂ + 3*x₃ ≤ 90 5 + 6 + 18 = 29
Amount of Special Sauce leftover 61
4)0*x₁ + 5*x₂ + 6*x₃ ≤ 60 15 + 36 = 51
Amount of Hot Sauce leftover 9
Find the slope of the line that passes through the points (-6,-2) and (-7,2)
Answer:
-4
Step-by-step explanation:
the steps are in the pic above
2.) Combine like terms and simplify the expression: 2x +
5y+ 7x
Your answer
Answer:
9x + 5y
Step-by-step explanation:
Here, in 2x + 5y+ 7x, the 'like terms' are 2x and 7x, and the sum of these terms is 9x. Thus, 2x + 5y+ 7x becomes 9x + 5y.
Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of this loan if it carried a 10 percent interest rate?
Answer:
$919.98
Step-by-step explanation:
To solve using a financial calculator do
N=8
I/Y=10
PMT=85
FV=1000
CMPT PV get 919.98
To do by hand find the present value of the interst payments
85*(1-(1/1.1)^8)
which is 453.4687
Find the present value of the final ballon payment
1000*(1/1.1)^8
which is 466.507
take the sum
466.507+453.4678= 919.98
please help, will award brainliest
Answer:
First one
Step-by-step explanation:
How much larger is the volume of a triangular prism when you double the height of the prism?
9514 1404 393
Answer:
2 times
Step-by-step explanation:
Other things remaining the same, the volume of any prism is proportional to its height. If you double the height, it is like having two prisms of the same size. The volume doubles. The new volume is 2 times the original volume.
Describe how to graph the solution of y ≤ −x2 + 2x.
Answer:
See graph and explanation
Step-by-step explanation:
Assuming you mean y ≤ −x² + 2x, you graph y = −x² + 2x and then fill in the area beneath the curve of the parabola to represent the included values. See the graph for a visual.
4a - 2b = 10
write down the value of 2b-4a
Answer:I think 11 will be the answer
The sides of a square are all increased by 2 inches. The area of the NEW square is 49
inches squared. What is the length of a side of the original square?
A: 4.5 inches
B: 9 inches
C: 5 inches
D: 2 inches
9514 1404 393
Answer:
C: 5 inches
Step-by-step explanation:
The length of the sides of the new square is the square root of the area:
s = √A = √49 = 7
The original square had sides 2 inches shorter, so they were ...
7 in -2 in = 5 in . . . . side length of original square
Launch Problem
a) There are two stores selling boxes of crackers. Based on the information below, which store should Sylvio
purchase the crackers from? Explain your answer.
Store 1
ion
Numbero Boed Cachers
3
5
6
00
9
B
12
2
bl...
Store 2:
C = 1.5b
c = cost and b = boxes of crackers
...
b) Sylvio also needs to purchase lemons. If Sylvio wants to buy 3 boxes of crackers and 6 lemons and he does
not want to go to both stores, which one should he shop at? Explain your answer.
Store 1:
Number of lemons
3
6
9
12
1
Cost (in dollars)
2
3
4
my best answer is B i hope this helps
hello if anyone would pls help
Answer:
x = 12
Step-by-step explanation:
It is a 90° angle which means that both of the angles need to add up to 90. 90-20 =70. 6×12 = 72.
6×9= 72
72-2 = 70
It adds up.
Hope this helps.
Practice:
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
180°
a. (-1, 0)
b. (0, 1)
c. (0, -1)
d. (1, 0)
Please select the best answer from the choices provided
Answer:
A. (-1, 0)
Step-by-step explanation:
I calculated it logically
This is (Worth 10 points)
Answer:
C. Both A and B are solutions to the equation
Step-by-step explanation:
A negative number sqaured is positive.
Answer:
D
Step-by-step explanation:
It is D because the correct awnser is X=4
no links or i will report
Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, more than once, or not at all.
33.6252768.48
Expression Value of the Expression
[
4
×
(
4
+
3
)
]
−
3
[
(
7
−
5
)
÷
1
2
]
×
2
(
5
.
4
+
3
)
×
(
6
−
2
)
[
9
÷
3
+
6
]
×
3
(
4
+
3
.
2
)
×
[
(
9
−
2
)
+
2
.
5
]
Answer:
The answers go in the following order:
25
8
33.6
27
68.4
Which of the following ratios is not 2:5
A. 40:100
B. 10:20
C. 16:40
D. 6:15
Answer:
Step-by-step explanation:
Option B is the correct answer
10 : 20
In its simplest form
1 : 2
PLZ HELP
19 students were surveyed on the number of hours of Netflix they watched last week.
The data from the survey is below:
{0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 10, 11}
What is the mode for this data?
Answer:
Step-by-step explanation:
Answer:
i think the answer is 4
hope this help?
PLS HELP I REALLY NEED HELP FAST
Answer:
1st one
Step-by-step explanation: