Answer:
x = 4
Step-by-step explanation:
Equation: 3x + 13 = 25
Step 1: Subtract 13 from both sides.
3x + 13 = 25
- 13 - 13
3x = 12
Step 2: Divide both sides by 3.
3x = 12
3 = 3
x = 4
Use the rules of significant figures to answer the following question:
54.313 × 12.09
A. 657
B. 660
C. 656.64
D. 656.6
The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find an equation for the parabola.
INCLUDE WORK.
Answer:
y=-0.215x^2+35
Step by Step:
Let, [tex]h=0[/tex], [tex]k=35[/tex], [tex]x=8[/tex], [tex]y=21[/tex]
We know that, the general equation of the parabola.
[tex]y-k = a(x-h)^2[/tex]
[tex]\Rightarrow y=a(x-h)^2+k .........(i)[/tex]
Substitute the value of [tex]h, k, x, y[/tex] in equation [tex](i)[/tex] and find the value of [tex]a.[/tex]
[tex]21=a(8-0)^2+35[/tex]
[tex]\Rightarrow 21=a\times 8^2+35[/tex]
[tex]\Rightarrow 21=64a+35[/tex]
[tex]\Rightarrow 64a=21-35[/tex]
[tex]\Rightarrow 64a=-14[/tex]
[tex]\Rightarrow a=\frac{-14}{65}[/tex]
[tex]\Rightarrow a=-0.215[/tex]
Hence, the equation of the parabola is:
[tex]y=-0.215x^2+35[/tex]
Find the zeros of the function and state the multiplicities.
f(x)= -6x^3+26x^2-28x
Answer:
X=0 {multiplicity of 1}
X=2 {multiplicity of 1}
X=7/3 {multiplicity of 1}
Step-by-step explanation:
Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.75 mile she bikes. If Emily bikes 21 miles, how much will her mother donate?
Her mother will donate $
Evaluate functions from their graph f(-5)=
Answer:
7
Step-by-step explanation:
(-5,7) lies in the graph!
Twins Isaac and Isaiah were just born. Isaac weighs 6 pounds 2 ounces and Isaiah weighs 5 pounds 4 ounces. How many ounces do Isaac and Isaiah weigh together?
A worker bee has a mass of 0.00011 \text{ kg}0.00011 kg0, point, 00011, start text, space, k, g, end text.
Choose the best approximation of the mass of a worker bee.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
1 \cdot 10^{-4}\text{ kg}1⋅10
−4
kg1, dot, 10, start superscript, minus, 4, end superscript, start text, space, k, g, end text
(Choice B, Checked)
B
1 \cdot 10^{-3}\text{ kg}1⋅10
−3
kg1, dot, 10, start superscript, minus, 3, end superscript, start text, space, k, g, end text
An African elephant has a mass of 8139 \text{ kg}8139 kg8139, start text, space, k, g, end text.
Choose the best approximation of the mass of an African elephant.
Choose 1 answer:
Choose 1 answer:
(Choice A, Checked)
A
8 \cdot 10^{3}\text{ kg}8⋅10
3
kg8, dot, 10, cubed, start text, space, k, g, end text
(Choice B)
B
8 \cdot 10^{4}\text{ kg}8⋅10
4
kg8, dot, 10, start superscript, 4, end superscript, start text, space, k, g, end text
Approximately how many times as large is the mass of an African elephant as the mass of a worker bee?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
8\cdot 10^68⋅10
6
8, dot, 10, start superscript, 6, end superscript
(Choice B)
B
8\cdot10^78⋅10
7
8, dot, 10, start superscript, 7, end superscript
(Choice C)
C
8\cdot10^88⋅10
8
Answer:
Answer:
1). Option (A)
2). Option (A)
Step-by-step explanation:
1). A worker bee has the mass = 0.00011 kg
In scientific notation we can convert the mass of bee as,
0.00011 =
=
Since 1.1 ≈ 1,
Therefore, 1.1 × 10⁻⁴ ≈ 1 × 10⁻⁴ kg
Option (A) is the answer.
2). An African elephant has a mass = 8139 kg
In scientific notation,
8139 = 8.139 × 10³
Since, 8.139 ≈ 8
Therefore, 8139 kg = 8.139 × 10³ kg
Option (A) is the answer.
Step-by-step explanation:
Which pair of expressions is equivalent? 2(x + 5) and 2x + 10 B. 3x – 6 + 4x + 9 and 7x + 15 0. C. 4y - 2) and 4y - 2 0 D. 5y + 12 - 3y and 2y – 12
Answer:
A
Step-by-step explanation:
the equivalent pair of expression are 2(x+5)and 2x+10
is the product of 18 negative numbers and 20 positive numbers a positive number or negative
Answer:
positive
Step-by-step explanation:
even negatives = positive
whatever positives = positive
positive*positive = positive
How many terms are in this expression?
3n+2m+1
Answer:
three
Step-by-step explanation:
3n+2m+1
There are three terms in the expression
3n, 2m, and 1
Answer:
three terms are in this experssion 3n+2m+1
In the rectangle, find the length of AD.
Answer:
required answer is 9 of your question
Triangle IHJ is similar to triangle RST.
What is the length of side _
RT
Please help with this
Answer: pretty sure its 85
Step-by-step explanation:
Answer:
85°
Step-by-step explanation:
Line segment AB || line m
Therefore, BC is transversal.
[tex] \therefore m\angle ABC + (m\angle ACB +m\angle A D) = 180\degree[/tex]
[tex] \therefore m\angle ABC + (55\degree + 40\degree) = 180\degree[/tex]
[tex] \therefore m\angle ABC + 95\degree = 180\degree[/tex]
[tex] \therefore m\angle ABC = 180\degree -95\degree [/tex]
[tex] \therefore m\angle ABC = 85\degree [/tex]
find the slope thanks
Answer:
Hello! Just here so the other person can get brainliest. I will do the same for the other questions.
Step-by-step explanation:
8.In a box, there are 8 orange, 7 blue, and 6 red balls. One ball is selected randomly. What is the probability that it is neither orange nor red
Answer: then its blue, 1/3
Step-by-step explanation: in a box there are 8 red, 7 blue and 6 green balls. one ball is picked up randomly. what is the probability that it is neither red nor green?
---
I guess the ball was blue.
P(blue) = 7/21 = 1/3
if 50% is 10 what is 75%
Answer:
15
Step-by-step explanation:
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Which number(s) below belong to the solution set of the equation? Check all that apply.
x + 10 = 40
A. 40
B. 80
C. 400
D. 4
E. 30
F. 50
Answer:
E only
Step-by-step explanation:
-4x + 12 = -6x
Step 1: Add 4x to both sides:
12 = -6x + 4x
Step 2: Combine like terms:
12 = -2x
uh- this is the correct way to answer the problem....
−4x+12=−6x
Step 1: Add 6x to both sides.
−4x+12+6x=−6x+6x
2x+12=0
Step 2: Subtract 12 from both sides.
2x+12−12=0−12
2x=−12
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{-12}{2}[/tex]
x=−6
Can someone please help me with this. I'll give 50 points!
Answer:
the second one
Step-by-step explanation:
Answer:
2nd answer
Step-by-step explanation:
x less than -3
Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 529 square meters. Round each dimension to 4 decimal places
Answer:
[tex]x=23/\sqrt{6}[/tex],
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
Step-by-step explanation:
From the question we are told that
Surface area is 529 square meters
Generally the dimensions of the cuboid
[tex]v=x^y[/tex]
[tex]D=4xy+2x^2 =529[/tex]
[tex]V=x^29(\frac{529-6x^2}{4x})[/tex]
[tex]V' =529-6x^2/4[/tex]
[tex]v'=0[/tex]
Therefore
[tex]529=6x^2[/tex]
[tex]x=\sqrt{\frac{529}{6} }[/tex]
[tex]x=23/\sqrt{6}[/tex]
Mathematically
[tex]v''=\frac{12x}{4}[/tex]
[tex]v''=-3\frac{23}{\sqrt{6} }<0[/tex]
[tex]y= \frac{529-2*(\frac{529}{6} }{4*\frac{23}{\sqrt{6} } }[/tex]
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
Therefore
[tex]x=23/\sqrt{6}[/tex]
and
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
jason voorhes was buying hocky masks. 1 hockey mask cost 10 dollars how much does 10 masks it cost in all?
Answer:
$100
Step-by-step explanation:
since 1 hockey mask costs $10 and you need 10 masks you can multiply 10x10 and you will get 100
For which line is the slope least?
While on a trip, you notice that the video screen on the airplane, in addition to showing movies and news, records your altitude (in kilometers) above the ground.
As the plane starts its descent
(at time x = 0), you record the following data: Time, x (min.) Altitude, y (km)
12 0 10 8 16 16 18 4 110 12
If you were to graph these points on a graph, you would notice that the line that forms represents a linear function. What is the practical meaning of slope in this situation?
a. For every minute that passes, the airplane descends 1 kilometer.
b. For every minute that passes, the airplane ascends 1 kilometer.
c. For every 2 minutes that passes, the airplane descents 1 kilometer.
d. For every minute that passes, the airplane ascends 2 kilometers. C.
Answer:
a
Step-by-step explanation:
edg 2020
For every minute that passes, the airplane descends 1 kilometer. then option a is correct.
How to find the rate of change of a linear equation?Suppose that the considered linear equation is of the form
y=mx+c
Then, when we change x by 1 unit, then:
The rate of change is the slope. The formula for slope is
m = y2 - y1 / x2 - x1
Using the first two points, (0, 12) and (2, 10), we have
m = (10-12)/(2-0)
m = -2/2
m = -1
This means the plane descends 1 km per minute which means in 3 minutes' time, the plane descends 3 km.
Therefore, option a. For every minute that passes, the airplane descends 1 kilometer.
Learn more about the rate of change of a linear equation here:
https://brainly.com/question/12786410
#SPJ5
how do you solve 9 tenths minus 13 fiftenths
Answer:
0.04
Step-by-step explanation:
1. 9/10 = 0.9 and 13/15 = 0.86
2. Subtract 0.9 and 0.86
3. You should end up with 0.04
Remember when a number goes like 0.86666666666 to use 0.86 or if it has 0.86666666667 to use 0.87 because you would be simplifying it.
Hello :)
Please help me solve this
Explain answer
Answer:
[tex]Scale\ Factor = \frac{1}{2}[/tex]
ABC dilated
Step-by-step explanation:
Given
Triangles ABC and DEF
Required
Determine the scale of dilation
First, we pick a side on ABC
[tex]AB = 6[/tex]
Pick a corresponding side on DEF
[tex]DE = 3[/tex]
The scale factor is then calculated as:
[tex]Scale\ Factor = \frac{DE}{AB}[/tex]
[tex]Scale\ Factor = \frac{1}{2}[/tex]
i.e. ABC was dilated by 1/2
Find the unit tangent vector at the given value of t for the following parameterized curves.
r(t)= ⟨7–√e^t,3e^t,3e^t⟩
, for 0≤t≤1
; t=ln 2
Answer:
[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Step-by-step explanation:
Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]
We first have to differentiate of equation [tex](i)[/tex]
[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]
Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]
[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]
[tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex] [∵[tex]e^{lna}=a[/tex]]
Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.
[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]
[tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]
[tex]= \sqrt{\frac{145}{2} }[/tex]
Now we can find the our unit tangents vector.
[tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]
[tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]
[tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]
[tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Shelley is visiting from London and uses her ATM card to withdraw $200 at local bank B. If local bank B charges $4 for ATM fees per foreign transaction plus 3% of the withdrawal, how much would she own in fees for what transaction? Round to the nearest dollar amount, such as: $6
$5
$4
$10
$7
Answer:
Transaction Fee = $10
Step-by-step explanation:
Transaction fee = $4 for ATM fees per foreign transaction + 3% of the withdrawal
Withdrawal = $200
3% of the withdrawal = 3/100 * $200 = $6
Transaction Fee = $4 + $6 = $10
I need help...
Please help to find ...
Answer:
NEED TO FIND WHAT
Step-by-step explanation:
WILL GIVE BRAINLIEST
Find the equation of the line
perpendicular to y=-2x + 1 that
also intersects the point (8, 2).
y- Hx+ 1
Enter
Answer:
y=1/2x-2
Step-by-step explanation:
perpendicular lines have a neg. reciprocal for the slope.
for example:
in this equation y=-2x+1
-2 is the slope and the negative reciprocal would be 1/2
hence, the slop of our new line is 1/2
y=1/2x+b
we can substitute the coordinates given for x and y:
2=1/2(8)+b
2=4+b
-2=b
hence the new equation is y=1/2x-2
Twins Isaac and Isaiah were just born. Isaac weighs 6666 pounds 2222 ounces and Isaiah weighs 5555 pounds 4444 ounces.
Step-by-step explanation:
Kindly make the question clearer for assistance