-2 - 10 + (-3)^3
= -12 - 27
= -39
Answer:
-39
Step-by-step explanation:
Substitute v and k
v - 10 + k³
-2 - 10 -3³
Multiply the 3 and the power of thirds together
-2 -10 + 27
Combine like terms
PLEASE HELP ME WITH THESE PROBLEMS!
Answer:
1. Congruent, SAS
2. Congruent, SSS
3. Not congruent
4. Congruent, SAS
5. Congruent, SSS
6. Not congruent
7. Congruent, SAS
8. Not congruent
I need help with this. I attached a photo. Thanks - Rylee
The quadratic function that produces the area, f(x) = A = x², can be used to complete the table which is presented as follows;
Side length[tex]{}[/tex] 1 2 3 4 5 6
Area[tex]{}[/tex] 1 4 9 16 25 36
What is a quadratic function?A quadratic function is a function which is of the general form;
f(x) = a·x² + b·x + c, where;
a, b, c, are numbers and the value of 'a' is not zero
The side lengths of a square are the same
The area of a square = Length of Side × Length of side
Therefore;
Area of a square = (Side length)²
The quadratic equation that gives the area, A, from a side length, x, is therefore;
A = x²The table in the question can completed using the following calculations
When the side length = 1, The area = 1² = 1
Area = (Side length)²Therefore;
Side length = √(Area)When the area = 4, the side length = √4 = 2
When the area = 9, the side length = √9 = 3
When the side length = 4, the area = 4² = 16
When the area = 25, the side length = √(25) = 5
When the side length = 6, the area = 6² = 36
The completed table is therefore;
Side length[tex]{}[/tex] 1 2 3 4 5 6
Area[tex]{}[/tex] 1 4 9 16 25 36
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Ann's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ann $5.60 per pound, and type B coffee costs $4.20 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $637.00. How many pounds of type A coffee were used?
Using system of equations to solve the problem, the coffee shop made use of a total of 91 pounds of blend A coffee for that month.
System Of EquationA system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
The equations in the system can be linear or non-linear.
In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
Let;
x = Blend Ay = Blend B5.60x + 4.20y = 637... eq(i)
x = 3y ... eq(ii)
Solving equation (i) and (ii)
x = 91, y = 91/3
The Coffee shop used 91 pounds of blend A
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Hello guys I need help
Answer:
B
Step-by-step explanation:
I jus did this in class becaueyeah dhdjajajakaksksnsnammamanajajajjanKa
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -1/2x + 6. What is the point slope form of the equation for this line?
The point- slope of equation is y- 8 = -1/2 ( x+ 3).
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
line that passes through point (-3, 8)
and, line is y= -1/2 x + 6
From above equation the slope of line is -1/2
Now, the point slope form of line
y- [tex]y_1[/tex] = m (x- [tex]x_1[/tex])
y- 8 = -1/2 ( x - (-3))
y- 8 = -1/2 ( x+ 3)
Hence, the point- slope of equation is y- 8 = -1/2 ( x+ 3).
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What is a counterexample for the conjecture? if the area of a rectangle is 80 square units, the perimeter must be greater than 35. 9 units.
if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.
What is a conjecture?
A conjecture is a conclusion or a proposition that is made tentatively and without supporting evidence.
The conjecture for the given question is:
if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.
Greater than → Lesser than or equal to
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Ichiro and Ivo are playing a game called Factor Subtractor. In the game, they each select a number from 11 to 15. For the number that is selected, they write down all of the whole numbers between 1 and their selected number. They then cross out all of the factors of the number they selected. Finally, they add all of the numbers that remain. The person who has the highest total is the winner. Complete parts a to c. Question content area bottom Part 1 a. Ichiro chooses the number 15. What is his score?
Answer:
96
Step-by-Step Explanation:
1, 3, 5 and 15 are the factors of 15.
2(v + 13) = 14
How do you solve this two step equation?
Answer:
solving for v or your variable
v= -6
Step-by-step explanation:
distribute the 2 outside the parentheses to get: 2v + 26 = 14Then you would solve for your variable in this case, v by subtracting 26 to get 2v = -12then you divide by 2 to get v by itselfgetting:
v = -6
Janna is training for a triathlon and wants to eat a diet with a ratio of carbohydrates to protein to fat that is 5:3:2.
What percent of her diet is the protein?
Answer:
Step-by-step explanation:
33 percent of her diet is the protein
Twice the sum of a number and 4 is 18
Answer: 7
Explain: 2x + 4 = 18 which is required an equation, so the sum of thrice a number and 7 is 25. So 3x + 7 = 25
Answer:
7
Step-by-step explanation:
Write the following fractions in ascending order
3/4
1/2
5/8
Answer:
5/8, 3/4, 1/2
Step-by-step explanation:
divide each and find out which one is the smallest to biggest :)
1. Margo can jump 58 times in 1 minute. About how many times can Margo jump in
5 minutes? (Show your work. Write your final answer on the line.)
2. Write the decimal number that the shaded portion of the model represents on the line.
Answer: 290
Step-by-step explanation:
58 x 5 = 290
Margo jumps 290 times in five minutes
What are the two solutions of this equation + workings out. Please help!!!!
Answer:
God is good, satanist are L
Answer:
0 and -6
Step-by-step explanation:
Either x=0
Or, x+6=0 i.e, x= -6
what is the slope of the line that passes through the pair of points (3,8) and (8,5)
Answer:
The slope is -3/5=-0.6
Step-by-step explanation:
Slope: (5-8)/(8-3)= -3/5=-0.6
Answer:
[tex]m=-\frac{3}{5}[/tex]
Step-by-step explanation:
Step 1: Slope
Slope = m[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]Step 2: Set up equation and solve for m
y₂ = 5y₁ = 8x₂ = 8x₁ = 3[tex]m=\frac{5-8}{8-3}=\frac{-3}{5}[/tex]If Chan throws 20 darts that hit the dart board, how many should land in an odd number?
F. 20
G. 5
H.10
J.12
J.12 is incorrect … PLEASE HELP
Answer: The Answer Would be H because in the 20 darts there are 10 odd numbers 1,3,5,7,9,11,13,15,17,19
Step-by-step explanation: :)
find five consecutive of integers if the um of the first three integers is 3 more than the sum of the last two.
Answer: 4,5,6,7,8
Step-by-step explanation:
Let the first integer be A; then the five consecutive integers are A, A+1, A+2, A+3, and A+4.
If the sum of the first three equals the sum of the last two, then A + (A+1) + (A+2) = (A+3) + (A+4)
Combining, 3A + 3 = 2A + 7 … A =4
The five Integers are thus 4, 5, 6, 7, and 8
If M is the centroid of triangle ABC, AM = 44, CE = 54, and DM = 23 Find each missing measure
FM=
A F=
CM=
ME=
MB=
DB=
Applying the centroid theorem, the missing measures are:
FM = 22
A.F = 66
CM = 36
ME = 18
MB = 46
DB = 69
What is the Centroid Theorem?The centroid theorem states that the distance from the centroid of the triangle to the opposite vertex is equal to one-third of the length of the segment that connects the midpoint of a side of a triangle to the opposite vertex.
Given:
AM = 44, CE = 54, and DM = 23, where M is the centroid of the triangle, thus:
FM = 1/3(FA) = 1/3(AM + FM)
Substitute
FM = 1/3(44 + FM)
3FM = 44 + FM
3FM - FM = 44
2FM = 44
FM = 44/2
FM = 22
A.F = AM + FM = 44 + 22
A.F = 66
CM = 2/3(CE)
CM = 2/3(54)
CM = 36
ME = CE - CM = 54 - 36
ME = 18
MB = 2/3(DB) = 2/3(DM + MB)
MB = 2/3(23 + MB)
3MB = 2(23 + MB)
3MB = 46 + 2MB
3MB - 2MB = 46
MB = 46
DB = DM + MB = 23 + 46
DB = 69
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A bag of candy has several colors of candy. The ratio of red candies to the other colors of the candies is 2:5. If the bag has 350 candies in it, how many red candies are in the bag?
The number of red candies in the bag is 100 when the ratio of red candies to the other colors of the candies is 2:5 and the bag has 350 candies in it.
What is ratio?
The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent.
A ratio compares two numbers by division. A survey of 20 respondents revealed that 13 of them preferred cake to ice cream and 7 preferred ice cream to cake.
It is given that bag of candies has several colored candies. Further, the ratio of red candies to the other colors is 2:5.
Total number of candies in the bag = 350
Number of red candies = [tex]\frac{2}{7}[/tex] × 350 = 2×50 = 100
Number of other colored candies = 350 - 100 = 250
Hence, the number of red candies in the bag is 100.
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Select the correct answer.
Solve the following inequality for x.
-26 + 13z + 2 > 2 132
O A. X<2
X2-1
OB.
O C.
X>1
OD. x < -2
z >1 for the given inequality for x.
To solve the following inequality for x.
-26 + 13z + 2 > 2 132
Since there is no x in this I'm assuming we are looking for z
Step 1: Simplify both sides
15r - 26 > -13z + 2
Step 2: Add 13z to both sides
15r - 26 + 13z > -13z + 2 + 13z
28 - 26 > 2
Step 3: Add 26 on both sides
28 - 26 + 26 > 2 + 26
28z > 28
Step 4: Divide both sides by 28z / 28 > 28 / 28
z > 1
Hence the answer is z >1 for the given inequality for x.
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What is the product of 18.5 • 0.31?
0.5735
5.730
5.735
57.35
Answer:
The answer is C 5.735
Step-by-step explanation:
I hope this helps!
8 cows can graze a field in 28 days. how long would 14 cows take to graze the same field?
If 8 cows can graze a field in 28 days as a result, 14 cows take 12 days to graze the same field.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that, 8 cows can graze a field in 28 days.
Suppose x is the number of days required to graze the same field.
A proportionality relationship is one that has an inverse proportion. When two quantities are inversely related when one quantity rises, the other falls. The number of hours needed to construct a wall serves as an illustration of inverse proportion. By the inverse proportional relationship,
6:x :: 14:28
x=(28×6) / 14
x=2 × 6
x=12 days
Thus, if 8 cows can graze a field in 28 days as a result, 14 cows take 12 days to graze the same field.
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Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Third-degree, with zeros of −3, −1, and 4, and a y-intercept of −13.
The third degree polynomial function with zeros of −3, −1, and 4, and a y-intercept of −13 is y = -13/12 (x³ - 13x + 12)
Polynomial function:
polynomial function refers a functions of single independent variables, in which variables can occur more than once, raised to an integer power.
Given,
Third-degree, with zeros of −3, −1, and 4, and a y-intercept of −13.
Here we need to construct a polynomial function with the stated properties and reduce all fractions to lowest terms.
The standard form for the third degree polynomial function is written as,
y = K (x + zero1) (x + zero2) (x + zero3)
Here we know the values of zeros as -3, -1 and -4.
Apply it on the general form,
y = K (x -3) (x - 1) (x + 4) ----------------------(1)
And the value of y intercept is -13 then the value of x is 0.
So, it can be written as,
-13 = K(0 - 3) (0 - 1) (0 + 4)
-13 = K (-3)(-1)(4)
-13 = K (12)
K = -13/12
Now, we have to apply these value on the equation (1), then we get,
y = -13/12 (x -3) (x - 1) (x + 4)
When we expand these, then we get the polynomial function as,
y = -13/12 (x³ - 13x + 12)
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wait times for customers once they enter the bank. wait time is defined as the time between when a customer enters the bank until they reach a teller. a random sample of customers are recorded and their wait times in minutes are as follows: (4.21, 5.55, 3.02, 5.13, 4.77, 2.34, 3.54, 3.20, 4.50, 6.10, 0.38, 5.12, 6.46, 6.19, 3.79). determine the t test statistic for the bank's claim that wait times are not longer than five minutes.
The t test statistic for the bank's claim that wait times are not longer than five minutes is 4.29.
T - test statistic
T test statistic refer an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related.
Given,
Wait times for customers once they enter the bank. wait time is defined as the time between when a customer enters the bank until they reach a teller. a random sample of customers are recorded and their wait times in minutes are as follows: (4.21, 5.55, 3.02, 5.13, 4.77, 2.34, 3.54, 3.20, 4.50, 6.10, 0.38, 5.12, 6.46, 6.19, 3.79).
Here we need to determine the t test statistic for the bank's claim that wait times are not longer than five minutes.
In order to find the t test statistic, we have to calculated the average for the given waiting time,
Here the given wait times are:
(4.21, 5.55, 3.02, 5.13, 4.77, 2.34, 3.54, 3.20, 4.50, 6.10, 0.38, 5.12, 6.46, 6.19, 3.79).
In this list there are 15 members timings are presented.
Therefore, the average is calculated as,
=> (4.21 + 5.55 + 3.02 + 5.13 + 4.77 + 2.34 + 3.54 + 3.20 + 4.50 + 6.10 + 0.38 + 5.12 + 6.46 + 6.1 + 3.79) /15
=> 64.3/15
=> 4.29.
Therefore, the t test statistic for the bank's claim that wait times are not longer than five minutes is 4.29.
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In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
m∠R > 90°
m∠S + m∠T < 90°
m∠S = m∠T
m∠R > m∠T
m∠R > m∠S
m∠S > m∠T
The option that must be true of triangle RST include:
m∠R > 90°
m∠S + m∠T < 90°
m∠R > m∠T
m∠R > m∠S
How to illustrate the triangle?From the information illustrated in the triangle, R > S + T. It should be noted that based on the information, one angle is more than the sum of the other two angles.
Sum of angles in a triangle = 180°
If an angle is 90°, the sum of the other two angles will be 90°.
Therefore, if R = 120°, it so greater than 90°. The correct options are illustrated above.
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Answer:
A, B, D and E
see picture
Step-by-step explanation:
Find the missing length indicated.
Answer:
5+5=10
Step-by-step explanation:
ABC right angled triangle In B whose AB= 6cm BC= 8cm find the hypothenuse AC
Answer:
10
Step-by-step explanation:
y=5x+2
4x−y=0
Is (2,12)(2,12)left parenthesis, 2, comma, 12, right parenthesis a solution of the system?
The solution to the given system of linear equations is x = -2 and y = -8. That is, (-2, -8).
Solving system of linear equationsFrom the question, we are to determine the solution to the given system of linear equations.
The given system of linear equations is
y = 5x + 2 ---------- (1)
4x - y = 0 ---------- (2)
Substitute equation (1) into equation (2)
4x - y = 0
4x - (5x + 2) = 0
4x - 5x -2 = 0
-x -2 = 0
-2 = x
x = -2
Substitute the value of x into equation (1)
y = 5x+ 2
y = 5(-2) + 2
y = -10 + 2
y = -8
Hence, the solution is x = -2 and y = -8
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A lab technician is dividing a cell that has a diameter of 4. 32×10−4 millimeters. Each of the new cells has a diameter measuring exactly one half of the diameter of the original cell. Which is the diameter of a new cell?.
Answer:
38
Step-by-step explanation:
32 + 10 = 42 subtract 42-4 = 38
Choose the graph of y=|x|+3 by translating the parent function
The graph that indicates the transformation translating of the parent function to get, y = |x| + 3, created with MS Excel is attached
What is the transformation of a function?A function ix transformed when the graph of the function is translated, resized or reflected.
The formula for the transformation of a function, f(x) is y = a·f(b·(x + c)) + d
Where;
a indicates the graph of the function is dilated vertically
b indicates a dilation horizontally
c indicates a translation horizontally
d indicates a vertical translation
The transformation applied to the parent function is the f(x) is an addition of a term, d = 3, which is a vertical translation
In a vertical translation of the form f(x) ± d
When d > 0, the graph of f(x) is moved up d units to get the graph of f(x) + d
When d < 0, the graph of f(x) is moved down d units to get f(x) - d
The graph of y = |x| + 3, obtained from the parent function, y = |x|, by a transformation of d = +3, therefore, the graph of y = |x| is moved up 3 units to get the graph of y = |x| + 3
Please find attached the graph that indicates the translating of the parent function, created with MS Excel.
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Alice, Ben and Charlie share $213
The ratio to Alice's share to Ben's share is 4:3
The ratio to Ben's share to Charlies share is 8:5
How much does Ben get?
After finding the ratio for each person, Ben will get $72
What is a Ratio?
A ratio shows the relative sizes of two or more values. Ratios can be shown in different ways:
using the ":" to separate example valuesusing the "/" to separate one value from the totalas a decimal, after dividing one value by the totalas a percentage, after dividing one value by the totalIt was given that Alice, Ben and Charlie are to share $213.
Ratio of Alice's share to Ben = 4 : 3
Ratio of Ben's share to Charlie = 8 : 5
Combining these ratios, their shared item (Ben's share) must be the same in each ratio.
Taking Alice's share to Ben, 4 : 3 and multiplying both parts by 8 to get an equivalent ratio, we have:
Alice : Ben = 4(8) : 3(8) = 32 : 24
Likewise, taking Ben's share to Charlie, 8 : 5 and multiplying both parts by 3, we have:
Ben : Charlie = 8(3) : 5(3) = 24 : 15
Combining these ratios, we have:
Alice : Ben : Charlie = 32 : 24 : 15
Adding the ratios together, we have: 32 + 24 + 15 = 71
If the money to be shared is $213, Ben's share will be:
[tex]\frac{24}{71}[/tex] × [tex]$213[/tex] = 72
Therefore, Ben will get $72 from the total amount of $213
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