Answer:
If y=2x+7 were changed to y=5x+7, then the graph of the new function would be steeper than the graph of the original function. On the other hand, the y-intercept would be unchanged; ( 0, 7)
Step-by-step explanation:
If y=2x+7 were changed to y=5x+7, then the graph of the new function would be steeper than the graph of the original function. On the other hand, the y-intercept would be unchanged; ( 0, 7)
Simplify (-6)×(-6)^2
Answer:
-216
(-6)^3
Step-by-step explanation:
-6 * (-6*-6)
-6 * 36
-216
or
-6 * -6 *-6
This is -6 multiplied together 3 times
(-6) ^3
3x2 + 5x – 7x + 3 – 5x2 + 2
Simplifying
3x2 + 5x + -7x + 3 + -5x2 + 2 = 0
Reorder the terms:
3 + 2 + 5x + -7x + 3x2 + -5x2 = 0
Combine like terms: 3 + 2 = 5
5 + 5x + -7x + 3x2 + -5x2 = 0
Combine like terms: 5x + -7x = -2x
5 + -2x + 3x2 + -5x2 = 0
Combine like terms: 3x2 + -5x2 = -2x2
5 + -2x + -2x2 = 0
Solving
5 + -2x + -2x2 = 0
Solving for variable 'x'.
Begin completing the square. Divide all terms by
-2 the coefficient of the squared term:
Divide each side by '-2'.
-2.5 + x + x2 = 0
Move the constant term to the right:
Add '2.5' to each side of the equation.
-2.5 + x + 2.5 + x2 = 0 + 2.5
Reorder the terms:
-2.5 + 2.5 + x + x2 = 0 + 2.5
Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x + x2 = 0 + 2.5
x + x2 = 0 + 2.5
Combine like terms: 0 + 2.5 = 2.5
x + x2 = 2.5
The x term is x. Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.
Add '0.25' to each side of the equation.
+ 0.25 + x2 = 2.5 + 0.25
Combine like terms: + 0.25 = 1.25
1.25 + x2 = 2.5 + 0.25
Combine like terms: 2.5 + 0.25 = 2.75
1.25 + x2 = 2.75
Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 2.75
Calculate the square root of the right side: 1.658312395
Break this problem into two subproblems by setting
(x + 0.5) equal to 1.658312395 and -1.658312395.
Subproblem 1
x + 0.5 = 1.658312395
Simplifying
x + 0.5 = 1.658312395
Reorder the terms:
0.5 + x = 1.658312395
Solving
0.5 + x = 1.658312395
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 1.658312395 + -0.5
Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 1.658312395 + -0.5
x = 1.658312395 + -0.5
Combine like terms: 1.658312395 + -0.5 = 1.158312395
x = 1.158312395
Simplifying
x = 1.158312395
Subproblem 2
x + 0.5 = -1.658312395
Simplifying
x + 0.5 = -1.658312395
Reorder the terms:
0.5 + x = -1.658312395
Solving
0.5 + x = -1.658312395
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -1.658312395 + -0.5
Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -1.658312395 + -0.5
x = -1.658312395 + -0.5
Combine like terms: -1.658312395 + -0.5 = -2.158312395
x = -2.158312395
Simplifying
x = -2.158312395
Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.158312395, -2.158312395}
Julie’s employer does a 50% match to its employees’ contributions to their 401k accounts. If Julie puts $12,000 in her 401k, what is her balance after her employer’s contribution is added?
A
$ 6,000
B
$ 12,000
C
$ 18,000
D
$ 24,000
Answer: C 18000
Step-by-step explanation:
Julie contributes $12,000 to her 401k and her employer matches 50% of this amount, contributing an additional $6,000. Thus, the total balance in Julie's 401k after the employer's contribution is added is $18,000.
The question involves calculating the total balance in Julie's 401k account after her employer's contribution. Julie contributes $12,000 to her 401k, and her employer offers a 50% match on contributions. To find the total balance, first calculate the employer's contribution, which is 50% of Julie's contribution, so $12,000 x 0.5 = $6,000.
Adding the employer's contribution to Julie's contribution gives us the total balance in the 401k account. Therefore, $12,000 (Julie's contribution) + $6,000 (employer's match) = $18,000.
Tell whether each number is a solution to the problem modeled by the following equation.
Mystery Number:
Six more than -7 times a number is 34. What is the number?
Let the mystery number be represented by n.
The equation is 6 + (-7)n = 34
TRUE or FALSE: The mystery number is -7.
Answer:
False
Step-by-step explanation:
6 + (-7)n = 34
Plug in -7 for n and see if it's true:
6 + (-7)(-7) = 34
6 + 49 = 34
55 = 34
No, it's not true, so the mystery number is not -7.
The cone shown has a diameter of 18 meters and a slant height of 15 meters .Which choice is closest to the lateral surface area? Use 3.14 to approximate.
Answer:
Cone diameter = 18 m therefore radius = 9 m
Lateral Area = PI * radius * slant height
Lateral Area = 3.14 * 9 * 15 = 423.90 square meters
Step-by-step explanation:
Final answer:
The lateral surface area of a cone with a diameter of 18 meters and a slant height of 15 meters is approximately 423.9 square meters, calculated using the formula LSA = πrl with π approximated as 3.14.
Explanation:
The student is asking about finding the lateral surface area of a cone with a given diameter and slant height, where the diameter is 18 meters and the slant height is 15 meters. To find the lateral surface area (LSA) of a cone, the formula LSA = πrl can be used, where 'r' is the radius of the base and 'l' is the slant height of the cone. Since the diameter is 18 meters, the radius is half of that, which is 9 meters. Using 3.14 as the approximation for π (pi), we can calculate the lateral surface area.
The calculation would be as follows:
Find the radius (r): Diameter / 2 = 18m / 2 = 9m.
Use the formula LSA = πrl: LSA = 3.14 * 9m * 15m.
Calculate the LSA: LSA = 3.14 * 135m².
LSA = 423.9m², which is the lateral surface area of the cone.
Therefore, 423.9 square meters is the closest approximation to the lateral surface area of the given cone.
WILL MARK BRAINLIEST!! PLEASE ANSWER AS FAST AS POSSIBLE !!! ANSWER QUESTIONS 1-5! THANKS!!!
Answer: 1. A Please give me a thanks and a brainly
Step-by-step explanation:
state the slope and y intercept for the graph of each equation y=-3x-2
the slope is -3 and the y intercept is -2
The floor of Paul's and Matthew's rectangular bedroom is 132 square feet. The bedroom is 11 feet wide. HOw long is the bedroom?
It’d be 12 because you have to divide 132 by 11
Answer: 12 feet.
Step-by-step explanation:
The formula used to calculated the area of a rectangle is:
[tex]A=l*w[/tex]
Where "l" is the lenght and "w" is the width.
You need to find the lenght of the bedroom, then you must solve for the lenght "l":
[tex]l=\frac{A}{w}[/tex]
You know that the floor of Paul's and Matthew's rectangular bedroom has an area of 132 square feet and its width is 11 feet. Then, you can substitute these values into [tex]l=\frac{A}{w}[/tex] to calculated the lenght. Therefore, the result is:
[tex]l=\frac{132ft^2}{11ft}[/tex]
[tex]l=12ft[/tex]
simplify [tex]2\sqrt{32a^{2} b^{5} } *\sqrt{8a^{7}b^{2} }[/tex]
[tex]32a ^{ \frac{9}{2} }b^{ \frac{7}{2} } [/tex]
the area of a rectangle with 16 square units. Use the grid to draw that the rectangle look like. Then shade the area. What are its dimensions?
Answer:
16=8x2
I hope this helps you!!
The possible values of the lengths and widths of the rectangle are (16, 1) and (8, 2).
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the area of a rectangle is (length×width).
Given, The area of the rectangle is 16 square units.
Therefore, (length×width) = 16.
So, the possible dimensions are multiples of 16 which is,
(length, width) = (16, 1) (8, 2).
(4, 4) is not admissible as it would make it a square.
learn more about rectangles here :
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i need help on 19 please thank you
you get 20 points for it
Answer:
As i can help you the answer is
Step-by-step explanation:
-13+(-56)÷14÷9=-13.4444444 so i goes on countinusly
-16•3-(-36)÷12= -13.3 so these are the answers and mark me as a brainliest
Is 5000 cm greater or less than 5 m
Answer: 5000 cm is greater than 5 m
Step-by-step explanation:
When you convert 5000 cm to m 5000 cm is equal to 50 m so 5000 cm is greater than 5 m
HELP PLEASE?
Henry showed all the steps he took to solve the equation.
(picture)
Sammy tried to verify the solution by substituting x=5 back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?
Step 1 is wrong because the distributive property of equality was used incorrectly.
Step 2 is wrong because the addition property of equality was used incorrectly.
Step 3 is wrong because the subtraction property of equality was used incorrectly.
Step 4 is wrong because the division property was used incorrectly.
Answer:
Step 3 is wrong.
Step-by-step explanation:
They must subtract the 28 from 15 first. This will give you 3x=-13. Then, you divide each side by 3, giving an answer of x=-4.33, or x=-13/3.
Answer:
step 3 is wrong
Step-by-step explanation:
consider step 2
3x + 28 = 15 ( subtract 28 from both sides ) gives
3x = 15 - 28
3x = - 13 ← what step 3 should be
Solve for x in the equation x^2 -10+25=35?
Answer:
5[tex]\frac{+}{-} \sqrt{35}[/tex]
Let's solve your equation step-by-step.
x^2−10+25=35
Step 1: Simplify both sides of the equation.
x^2+15=35
Step 2: Subtract 15 from both sides.
x^2+15−15=35−15
x^2=20
Step 3: Take square root.
x=±√20
Write the most precise name for the space figure with the given properties
A lateral surface and two circular bade
A. Prism
B.cylinder
C.sphere
D.cone
I think the answer is B. Cylinder
A lateral surface and two circulars bade is a cylinder.
We have given that,
A. Prism
B.cylinder
C.sphere
D.cone
We have to determine the
A lateral surface and two circulars bade,
What is the cylinder?
A cylinder has traditionally been a three-dimensional solid, one of the most basic curvilinear geometric shapes. Geometrically, it can be considered as a prism with a circle as its base.
The most precise name for the space figure with the given properties
A lateral surface and two circulars bade is a cylinder.
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A marching band bought 25 pairs of gloves and 15 pairs of shoes for a total cost of $374.25. Later they bought 14 pairs of gloves and 4 pairs of shoes for a total cost of $117.49. What is the price for one pair of shoes?
20.00 for each pair of shoes
Cost of one pair of shoes is $4.0625 (Approx.)
Given that;Cost of 25 pair gloves and 15 pair shoes = $374.25
Cost of 14 pair gloves and 4 pair shoes = $117.49
Find:Cost of one pair of shoes
Computation:Assume;
Cost of one pair of gloves = a
Cost of one pair of shoes = b
So,
25a + 15b = 374.25 ......... eq1
14a + 4b = 117.49 ......... eq2
eq2 × 3.75
52.5b + 15b = 440.5875 ........ eq3
Eq3 - eq1
a = 2.41
So,
14a + 4b = 117.49
b = $4.0625
Cost of one pair of shoes = $4.0625 (Approx.)
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Please help on this math problem. :))
Answer:
[tex]15.23[/tex]
Step-by-step explanation:
First, we can make an equation by adding all the ages together and dividing it by the sum of the frequencies.
[tex](13*7)+(14*12)+(15*18)+(16*9)+(17*5)+(18*4)+(19*2)[/tex]
Now simplify.
[tex](13*7)+(14*12)+(15*18)+(16*9)+(17*5)+(18*4)+(19*2) = 868[/tex]
We can divide this number by the sum of the frequencies.
[tex]\frac{868}{7+12+18+9+5+4+2} \\ \\ \frac{868}{57} \\ \\ 15.23[/tex]
Answer:
Step-by-step explanation:
First you need to find the total number of years of all the people tracked.
The general formula is
Total years = age*frequency for all ages.
Age Frequency Total
13 7 91
14 12 168
15 18 270
16 9 144
17 5 85
18 4 72
19 2 38
Totals 57 868
The mean is the total number of years / total frequency
mean = 868/57
mean = 15.23
What is the order of the matrix
Answer:
Order of a matrix is determined by the number of rows and columns the matrix consists. For example if a matrix is 2 X 5 matrix where 2 is the number of rows and 5 is the number of columns then the order of the matrix is 2 X 5.
Fill in the blank. Given ○R below, you can conclude that RA is congruent to ____.
(clicked A. on accident)
Answer:
D
Step-by-step explanation:
Answer D is correct. The indicated line segments are both radii of the circle and are thus of the same length (and thus, congruent).
Answer: D. RE
Step-by-step explanation:
In the given picture , we have a circle with center R having two chords as WF and MU.
The two chords WF and MU have equal length.
i.e. [tex]WF=MU=11.2[/tex]
We know that the equal chords of a circle are equidistant from the center.
⇒ [tex]\overline{RA}=\overline{RE}[/tex]
Therefore, we conclude that RA is congruent to RE.
To order a class ring, students must decide on a gold, silver, or white gold band and one of 15 stones. They must also choose from one of 30 activity symbols to put on the side. How many different ring selections are there?
Answer:
1350 different selections.
Step-by-step explanation:
They have 3 choices for the bands. 15 choices for the stones. and 30 choices for the symbols. Multiply 3 x 15 x 30 for the total number of selections.
Answer: There are 1,350 different ring selections.
Step-by-step explanation:
Given : The number of metals used for rings (gold, silver, or white gold ) =3
The number of stones they have = 15
The number of activity symbols = 30
By using the fundamental principal of counting , we have the total number of different ring selections as :-
[tex]3\times15\times30=1,350[/tex]
Therefore, there are 1,350 different ring selections.
Mr Smith bought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $3.99 shipping was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. Which equation could be used to find x?
We are given that the cost of each shirt = $12.25
It is given that she bought total 'x' shirts, each of cost $12,25.
So, the cost of 'x' shirts is dollars
Also, there is a shipping charge of $3.99
So, the total cost of 'x' shirts is
Since, the shirts cost her total $77.49.
We have the equation,
12.25x + 3.99 = 77.49
please help thx so much
Answer: i believe your answer is (80/99)
Step-by-step explanation:0.8080... repeating is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction.In rational form, it is 80/99.
I hope i helped :)
[tex] \frac{80}{99} [/tex]
[tex]x = 0.808080[/tex]
[tex]100x = 80.808080[/tex]
[tex]99x = 80[/tex]
[tex]x = \frac{80}{90}[/tex]
Can anyone please help me with this
Answer:
her total grade for class
Hope This Helps! Have A Nice Day!!
Estimate the difference. 10 1/9 - 5 14/15
To estimate the difference between 10 1/9 and 5 14/15, we round them to the nearest whole numbers, 10 and 6, respectively, and then subtract to get an estimated difference of 4.
To estimate the difference between the two numbers 10 1/9 and 5 14/15, we can round them to easier numbers to subtract. 10 1/9 is approximately 10, and 5 14/15 is close to 6 because 14/15 is almost a whole number. Now, we can simply subtract 6 from 10.
10 - 6 = 4
So, the estimated difference between 10 1/9 and 5 14/15 is about 4.
Need help plsss plsss plsss
Answer:
144%
Step-by-step explanation:
36/25= 1.44
1.44 x 100
Answer:144%
Step-by-step explanation:
To write 36/25 as a percent you have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .
36/25 * 100 = 1.44 * 100 = 144%
Hope it helps
What is the solution for the following system of equations? x +2y= 6
Answer: The answer to your question is infinitely many solutions
Step-by-step explanation: There is two solutions to the system of equations, which means there is complex solutions, or in other words many solutions. And when you have more than one solution, you have infinitely many solutions. Hope this helps:)
And please mark my answer the brainliest
which best describes the rule for this pattern?
1,-12,12,-1...
a) Subtract -24, then add 13
b) Subtract -13, then add 24
c) Subtract 13, then add 24
d) subtract 24, then add 13
b is the correct answer it's the only 9ne that fits
How do I graph this.
bad cropping, but there it is. i suggest using an app called photo math if youre having trouble. it shows you the step by step process
Katya is baking cookies that require 8 1/2 grams of vanilla paste per batch. She has 22 1/5 grams of vanilla paste. How many batches of cookies can she bake?
Answer:
2 batches
Step-by-step explanation:
8.5×2=17
8.5 cant go into 22.2 anymore or else it'd be over 22.2
so you can only make 2 batches
A lake has a diameter of 65 feet and depth of 20 feet for ever 1000ft cost $44.43 how much water is required to fill the lake
Answer:
The lake's shape is a cylinder. The volume of a cylinder is given as: V=πhr^2 where r equals the radius, and h the depth. Therefre, the volume of the lake is:
V=πhr^2
V=π(20ft)(32,5ft)^2
V=66.364,1875 ft^3.
Given that 66.364,1875 ft^3 equals 496.44 gallons, we can say that 496.44 gallons of water is required to fill the lake.