Jada's grandparents started a savings account for her in 2010. The table shows the
amount in the account each year.
year
amount in dollars
2010
600
2012
750
2014
900
2016
1050
If this relationship is graphed with the year on the horizontal axis and the amount in
dollars on the vertical axis, what is the vertical intercept?
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Related Questions
I would appreciate if you answered!
Answers
Answer:
None of those options
Step-by-step explanation:
I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options. Here's my work:
[tex]-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}[/tex]
I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)
please this is half my grade!!!
Benjamin has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 13.8 ft above the ground. What is the angle, rounded to the nearest tenth, that the ladder makes with the ground? Show your work
2. What is the length of side YZ to the nearest tenth? Show your work.
side XY is 11 feet, and angle Z is 35 degrees(this is a right triangle)
3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.
Side AC is 14 feet, this is a right triangle, and angle A is 30 degrees
Answers
The special right triangle is the right triangle that have acute angle values
that simplify the process of finding its dimensions.
The correct values are;
1. The angle the ladder makes with the ground, is approximately 66.93°
2. The length of YZ is approximately 19.18 ft.
3. CB = 7 ft. and AB = 7·√3 ft.
Reasons:
1. The length of the ladder = 15 ft.
Height of the ladder above the ground, h = 13.8 ft.
Required:
The angle the ladder makes with the ground.
Solution:
The angle the ladder makes with the ground is given by the equation;
[tex]sin(\theta) = \dfrac{Length \ of \ the \ ladder}{Height\ of \ the \ ladder \ above the \ ground} = \dfrac{13.8}{15} = 0.92[/tex]
[tex]\theta = arcsin\left(0.92 \right) \approx 66.93^{\circ}[/tex]
2. The given parameters are;
XY = 11
∠Z = 35°
YZ = Required
In a right triangle, the side facing the acute angle is a leg of the triangle.
Therefore;
XY is the opposite side to ∠Z
[tex]sin(\angle Z) = \dfrac{XY}{YZ}[/tex]
Which gives;
[tex]sin(35^{\circ}) = \dfrac{11}{YZ}[/tex]
[tex]YZ= \dfrac{11}{sin(35^{\circ}) } \approx 19.18[/tex]
YZ ≈ 19.18 ft.
3. AC = 14 ft.
∠A = 30
Required:
The length of the other two sides
Solution:
Where by AC is the hypotenuse side, we have;
CB = AC × sin(∠A)
Therefore;
CB = 14 × sin(30°) = 7
CB = 7 ft.
AB = AC × cos(∠A) = 14 × cos(30°) = 7·√3
Learn more here:
https://brainly.com/question/12237712
1. The angle the ladder makes with the ground, is approximately 66.93°
2. The length of YZ is approximately 19.18 ft.
3. CB = 7 ft. and AB = 7·√3 ft.
Factories often add filler when making meatballs sold by the bag. One factory obtained 72 kg of beef from overseas. They want to add 1.2 oz of filler for each
pound of beef, How many ounces of filler will the factory need in order to make meatbälls out of this shipment of beef? Help
Answers
Answer:
158.732829
rounded up: 159
Step-by-step explanation:
trust the calculator
Can somebody show me how to do this with answers? I don’t understand how my teacher shows me
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If you mean adding text above the underscore press the text button on the left and it will allow you to click above the underscore and add text as an answer to said problem.
Select the correct answer.
What is the vertex of the function f(x) = |x + 7| − 3?
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3x^2x4x^5 p please helppppppppppppppppppppppppppppppppppppp
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Answer:
i think it is 120
Step-by-step explanation:
(21x)-(-16+7x) Subtract.
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Answer:
=14x+16
Step-by-step explanation:
21x−(−16+7x)
=21x+−1(−16+7x)
=21x+(−1)(−16)+−1(7x)
=21x+16+−7x
=21x+16+−7x
=(21x+−7x)+(16)
=14x+16
Answer:
14x+16
Step-by-step explanation:
(21x)-(-16+7x)
Distribute the minus sign
21x+16-7x
Combine like terms
14x+16
Question down below, Please answer if you know :)
Answers
Answer:
A
Step-by-step explanation:
Step-by-step explanation:
A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts. What is the equation and slope.
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The equation is y = 0.5x and the slope is 0.5.
A function is said to be linear if it is a straight line graph and it can be represented by the equation:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the height of the tomato after x weeks. Let us assume that the points are (0, 0) and (6, 3), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{3-0}{6-0} (x-0)\\\\y=0.5x[/tex]
Therefore the equation is y = 0.5x and the slope is 0.5.
Find out more at: https://brainly.com/question/21835898
The equation for the scenario "A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts" is y = mx + c
The slope = m
The duration after which the farmer measures the average height of her tomato = x weeks
The average height of the tomato plant after x weeks = y
For the slope to be required, it means the relationship between the average height of the her tomato (y) and the number of weeks (x) is linear
This means that the average height of the tomato will be represented by a linear equation as shown below
y = mx + c
The slope of the equation is m
Learn more here: https://brainly.com/question/25759076
Please help (picture is linked)
Answers
Answer:
[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]
y-intercept: (0, 32), b = 32
[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Step-by-step explanation:
Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.
SlopeUse these points to solve for the slope of their line.
Let (x₁, y₁) = (0, 32)
(x₂, y₂) = (100, 212)
Substitute these points into the following formula for the slope:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]
[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]
Therefore, the slope of the line is [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].
Y-intercept:Next, the given problem asks for the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.
To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]
212 = 180 + b
Subtract 180 from both sides to isolate b:
212 - 180 = 180 - 180 + b
32 = b
The y-intercept is (0, 32), where b = 32.
Slope-intercept form:Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and the y-intercept, b = 32:
The linear equation in slope-intercept form is: [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Choose the graph that matches the inequality –x + y ≥ 2
Answers
Answer:
D
Step-by-step explanation:
-x + y >= 2
first of all, it means it includes the line (the "=" part).
that eliminates B and C.
then just look at the line function itself :
-x + y = 2
y = x + 2
and now
y >= x + 2
so, everything above the line (and again including the line), as every y value greater than or equal to the result of the line function is valid.
The required graph has been attached below which represents the given inequality –x + y ≥ 2. which is the correct answer that would be an option (D).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question below as
–x + y ≥ 2
First and foremost, it signifies that it includes the line (the "=" element).
This rules out B and C.
Then evaluate the line function itself:
-x + y = 2
y = x + 2
and now
y ≥ x + 2
As a consequence, anything above the line (and including the line) is legitimate, as is any y value larger than or equal to the result of the line function.
Thus, the required graph has been attached below which represents the given inequality –x + y ≥ 2.
Hence, the correct answer would be an option (D).
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ2
u=xk , for x
please help me
Answers
Answer:
x=u/k
Step-by-step explanation:
To get x, you would divide by k. Because its x times k. The oppisite is division. This gets you u/k=x
x is equal to u divided by k.
x=u/k
The last time it placed an order for ingredients, Sweet Treats Bakery ordered 7,160 kilograms of sugar. This time, the bakery is ordering 40% less sugar. How much sugar is that?
Answers
Answer:
4296 kg
Step-by-step explanation:
40/100 = x/7160
716 times 6 is 4296
A garden table and a bench cost $783 combined. The garden table costs $83 more than the bench. What is the cost of the bench?
Answers
Answer:
$557.5
Step-by-step explanation:
783/2
391.5 + 83 (more) =
557.5
what is the solution to this system of equations?
5x-y=40
y=2x-4
A) 20, 12
B) -20, 12
C) 12, -20
D) 12, 20
Answers
5x - (2x - 4) = 40
Solve for x
5x - 2x + 4 = 40
3x = 36
x = 12
Plug in x for either equation
y = 2(12) - 4
y = 24 - 4
y = 20
X = 12 and Y = 20, so D
{ solve simultaneously }
rearrange equation to make y the subject
5x-y=40
y=5x-40
Sub y=5x-40 into the second equation given ( y=2x-4 )
5x-40 = 2x-4
Solve normally to find x
x = 12
Sub x=12 into y=5x-40
Solve normally to find y
y = 20
Therefore, answer is D) 12, 20
4x+8=3
help asap
step by step please
Answers
[tex]4x +8 =3\\\\\implies 4x = - 5 \\\\\implies x = - \dfrac 54[/tex]
Answer:
x= -5/4
Step-by-step explanation:
4x+8=3
4x=3-8
4x=-5
x= -5/4
Susan made $117 for hours 9 of work.
At the same rate, how much would she make for 7 hours of work?
Answers
117/9 = 13 dollars per hour
Then find out how much she makes in 7 hours
13 • 7 = 91 dollars
$91 in 7 hours
c) 2 x x 3 x y
Please help
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what is 4 1/2 - 1
8/10= in Fractions
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[tex]4\frac{1}{2} - 1\frac{8}{10} = \frac{9}{2}- \frac{9}{5} = \frac{27}{10}[/tex]
ok done. Thank to me :>
Answer:
4 1/2= 9/2
1 8/10= 18/10= 9/5
9/2-9/5=
(45-18) /10=
27/10 or 2 7/10
Step-by-step explanation:
multiples of 7 between 30 and 50
Answers
Answer:
It is 35, 42, 49
7x5=35
7×6=42
7²=49
=
35
42
49
Hope this helps!!
Write the transformed equation for g(x)+4 calling it h(x)
Answers
Answer:
h(x) = (1/3)x + 6
Step-by-step explanation:
yeah-ya ....... right?
would love it if someone helped with this question please...
Answers
Answer:
$40.00
Step-by-step explanation:
to find the cost multiply the cost per unit by the number of units: 10/6 x 24 = 40
10/6= 1.666666666666667
Multiply 1.666666666666667 by 24 you get 40
Which is a solution for 7 (x plus 2) equals 35?
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x = 5
Which angle is the smallest?
12
10
D
Answers
Answer:
Step-by-step explanation:
Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC
Pleas be sure to answer BOTH PARTS ... thank you!
Answers
Answer:
p = 32.317
A = 47.911
Step-by-step explanation:
given ∠A = 60
∠C = 45
AB = 9
From sum of all angles in triangle is 180
∠A + ∠B + ∠C = 180
60 + ∠B + 45 = 180
∠B = 180 - 105 = 75
∠B = 75
from sine rule in ΔABC
AB / sin C = BC / sin A
=> 9 / sin 45 = BC / sin 60
=> 9 / 1/[tex]\sqrt{2}[/tex] = BC / [tex]\sqrt{3} / 2[/tex]
=> [tex]9\sqrt{2} = BC * 2 / \sqrt{3}[/tex]
BC = [tex]9\sqrt{2} * \sqrt{3} / 2\\[/tex]
BC = 11.023
length of AC is
AC / sin B = AB / sin C
AC / sin 75 = 9 / sin 45
AC = 9 / 1/[tex]\sqrt{2} * sin 75[/tex]
= [tex]9\sqrt{2} * sin 75\\12.294[/tex]
perimeter of ΔABC
AB + BC + CA
= 9 + 11.023 + 12.294
= 32.317
Area of ΔABC is
= 1/2 * AB * AC * sin A
= 1/2 * 9 * 12.294 * sin 60
= 1/2 * 9 * 12.294 * √3/2
= 47.911
WILL MARK BRAINLIEST
Solve 39.2 ÷ 7 = ________.
5.2
5.3
5.5
5.6
Answers
Answer:
5.6
Step-by-step explanation:
Answer:
5.6
Step-by-step explanation:
I just take each answer and multiply it by 7 until the answer matches 39.2.
5.6 * 7 = 39.2
Simplify this expression:
[tex]7xy - x^{2}t+4xy+5x^{2}t[/tex]
Answers
Answer:
[tex]11xy+4x^{2} t[/tex]
Step-by-step explanation:
1. Collect Like Terms
[tex](7xy+4xy)+(-x^{2} t+5x^{2} t)\\[/tex]
2. Simplify.
[tex]11xy+4x^{2} t[/tex]
A particular plant root grows 3.5 inches per month.How many centimeters is the plant growing each month?
Answers
Answer:1 inch = 2.54 centimeters so the answer is 3.76
Step-by-step explanation:
(1 inch = 2.54 centimeters). 0.73 centimeters 1.38 centimeters 6.04 centimeters 8.89 centimeters unsubscribe · report · tue mathematics
BRAINLIEST
can you help me out :)
Answers
Answer:
DC = 30.47 units
KL = 5.34 units
Step-by-step explanation:
Cos 54 * 20 = AD
Sin 54 = BD/20
Sin 54*20 = BD
BD = 0.809*20 = 16.2
Tang 28 = BD/DC
DC = BD/tang 28
DC = 16.2/0.5317
Tan 51 = JL/14
JL = 1.2349 * 14 = 17.29 units
Cos 72 = KL/JL
Cos 72 * 17.29 = KL
cos 72 = 0.309
KL = 0.309 * 17.29 = 5.34 units
Hurry please
Answer ASAP