Answer:
11
Step-by-step explanation:
q^4=4
r=1
s^6=6
4+1+6=11
To get rid of a negative exponent, move the part with the negative exponent to the other side of the_________(blank)
Answer:
fraction
Step-by-step explanation:
If you have a negative exponent, such as [tex]x^{-2}[/tex], that can also be written as [tex]\frac{x^{-2} }{1}[/tex]
by moving the exponent (and it's base) to the denominator (the other side of the fraction, since it's in the numerator), you make the exponent positive: [tex]\frac{1}{x^{2} }[/tex]
(x+8)^2 is subtracted from 3x+4?
Answer:
Step-by-step explanation:
If you mean:
3x+4-(x+8)^2, then
3x+4-(x^2+16x+64)
3x+4-x^2-16x-64
-x^2-13x-60
Answer:
-x^2-30x-60
Step-by-step explanation:
Abox of cereal states that there are 81 calories in a
4-cup serving. What is the unit rate for calories
per cup? How many calories are there in 4 cups of the cereal?
Answer:
20.25 per cup because 81÷4= 20.25 then
1) read the label=81 per 4-cups
2) 20.25x4=82 calories
Step-by-step explanation:
hope this helps :D
If 500 calories adds 1 pound to your weight how many 1000 calorie banana splits would you need to eat to gain 10 pounds
Answer: 5
Step-by-step explanation:
each banana split is equal to 2 lbs. therefore, to gain 10 lbs. you need to eat 5 banana splits.
500cal = 1 lb.
1000cal = 1 banana split
1 banana split = 2lbs.
to gain 10lbs, divide 10lbs by 2lbs = 5 banana splits
What is the maximum value of the picture below?
Answer:
y = 4
Step-by-step explanation:
The maximum value occurs at the vertex
vertex = (2, 4 )
when x = 2 the maximum value is y = 4
Under his cell phone plan, Parker pays a flat cost of $36.50 per month and $5 per gigabyte. He wants to keep his bill under $45 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Parker can use while staying within his budget.
Answer: Parker can use 1.7 gigabytes to stay within his budget.
Step-by-step explanation:
If Parker pays a flat cost of $36.50 and has to pay $5 a month then we can represent it by the 36.50 + 5gg where gg is the number of gigabytes.
If he has to keep his bill under $45 , then 36.50 + 5gg has to be less than 45.
36.50 + 5gg < 45. Now solve for gg
-36.50 36.50
5gg < 8.5
gg< 1.7
Question :
Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet
away from each other and using angle measuring device they can determine the angle from
each of their ships to the signal fire. The angle at ship A is 82º and the angle at ship B is 78º.
How far is it from Ship B to the signal fire at point C?
Hint: Use Law of Sines:
sin A = simb = sin
82
140 it
A(48.9) b(400.4) C(405.3) D(673.4)
Answer:
C) 405.3 ft
Step-by-step explanation:
A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.
Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:
[tex]\frac{a}{sin(A)}= \frac{b}{sin(B)} =\frac{c}{sin(C)}[/tex]
In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
82 + 78 + ∠C = 180
∠C + 160 = 180
∠C = 20°
Using sine rule:
[tex]\frac{c}{sin(C)}=\frac{a}{sin(A)}\\\\\frac{140}{sin(20)}=\frac{a}{sin(82)}\\\\a= \frac{140*sin (82)}{sin(20)}\\\\a=405.3\ ft[/tex]
a = distance from Ship B to the signal fire at point C
Elenista made an estimate that the angle below was about 170°.
Why did her estimate not correctly describe the angle
measurement?
HELPP MEEE PLSSS PLSS:(
Answer:
C. The estimate is too large
My bad, wasn't looking at it carefully. The angle seems to be close to 90° than 180°.
Answer:
i believe the answer would be B
Step-by-step explanation:
Which equation is represented by the line
Answer:
First, we need to find the slope of this line.
Slope is defined as rise over run, or change in y over change in x. We find two points on this line, and see that the slope is -4.
Then, we find the y-intercept, which in this case is 0.
Using slope intercept form, our answer is y=-4x
Let me know if this helps!
Answer:
y=-4x
Step-by-step explanation:
so the line goes down 4 evey 1 right so the slope is -4 and it goes through the y axis at 0 so the y intercoept is 0
please help!
thank u!
Answer:
c
Step-by-step explanation:
Trapezoid STUV is similar to trapezoid NOPQ. What is the length of OP?
Answer:
F. 4 2/3 centimeters
Step-by-step explanation:
since the trapezoids are similar to each other, that means there is a common ratio between them. so taking into consideration the first trapezoid STUV when we compare that to NOPQ, OP comes out to be 4 and 2/3 centimeters. start by comparing the ratio of ST to NO and then move on to TU and then OP.
. Since the pentagon is a regular pentagon, the measure of each interior angle will be the same.
To find the size of each angle, divide the sum, 540º, by the number of angles in the pentagon.
(which is the same as the number of sides).
540° ÷ 5 = 108° There are 108° in each interior angle of a regular pentagon.
2. 540°
Sum of Interior Angles of a Polygon
A pentagon has five sides, thus the interior angles add up to 540°, and so on.
the dataset below represents the heights of trees(in inches) 13, 82, 83, 95, 92, 98, 96. How many outliers are in this data set?
Answer:
3
Step-by-step explanation:
There are 3 outliers. 13, 82, 83. These outliers are marginally off by the rest of the set.
There is one outlier in the data. The value of outlier is 13.
What is an outlier?An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. It is a value that "lies outside" (is much smaller or larger than) most of the other values in a set of data. The outliers can be found from median and quartile range.
For the given situation,
The heights of trees(in inches) are 13, 82, 83, 95, 92, 98, 96.
Arrange them in ascending order,
⇒ [tex]13, 82, 83, 92, 95, 96, 98[/tex]
Here, median = 95
So, first quartile Q₁ = 82
third quartile, Q₃ = 96
Interquartile range, IQR = Q₃ - Q₁
⇒ [tex]96-82[/tex]
⇒ [tex]14[/tex]
Now, [tex]IQR(1.5)=14(1.5)[/tex]
⇒ [tex]21[/tex]
Then, high value = Q₃+1.5 IQR
⇒ [tex]96+21[/tex]
⇒ [tex]117[/tex]
Low value = Q₁-1.5 IQR
⇒ [tex]82-21[/tex]
⇒ [tex]61[/tex]
From the data, the value of outlier should lie less than 61 and greater than 117.
Hence we can conclude that there is one outlier in the data. The value of outlier is 13.
Learn more about outliers here
https://brainly.com/question/3253658
#SPJ2
A plumber chargers a fee of $75 plus $30 per hour on the job. Make a table of values for the total charge depending on the number of hours the plumber works. Determine if this can be defined by a linear or an exponential function. What is the function?
a. Linear: T=30+75h
b. Exponential: T=75(30)^h
c. Exponential: T=30(75)^h
d. Linear: T=75+30h
Answer:
d
Step-by-step explanation:
It is going at a steady rate of 30$ an hour
Total charges of the plumber depending on the number of hours he works is defined by the linear function T = 75 + 30h.
What is linear functions?Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.
Learn more about linear function here
https://brainly.com/question/21107621
#SPJ2
A phone company uses the equation y 0.15x10 to find y, the monthly charge for a customer sending x text messages. How many text messages are sent if the monthly charge is $77507
A: 10
B: 21
C: 450
D: 506
Answer:21
Step-by-step explanation:
21
A line with a slope of 2 passes through the point (5, 8). What is its equation in slope-intercept form? (I will make u brainleist)
Answer:
y= 2x -2
Step-by-step explanation:
8.88=-2.22(x-7)
what is x
Answer:
x=3Step-by-step explanation:
Let's solve your equation step-by-step.
8.88=−2.22(x−7)
Step 1: Simplify both sides of the equation.
8.88=−2.22(x−7)
8.88=(−2.22)(x)+(−2.22)(−7) (Distribute)
8.88=−2.22x+15.54
Step 2: Flip the equation.
−2.22x+15.54=8.88
Step 3: Subtract 15.54 from both sides.
−2.22x+15.54−15.54=8.88−15.54
−2.22x=−6.66
Step 4: Divide both sides by -2.22.
−2.22x /−2.22
=
−6.66 /−2.22
x=3
Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters. In parallelogram PQSR, what is PQ? 2 cm 5 cm 6 cm 9 cm
Answer:
9cm
Step-by-step explanation:
Opposite sides of a parallelogram are parallel (congruent). This shows that
PQ = RS
2x+5 = 4x+1
2x-4x = 1-5
-2x = -4
x = -4/-2
x = 2
Get PQ
PQ = 2x+5
PQ = 2(2)+5
PQ = 4+5
PQ = 9cm
Answer:
9cm
Step-by-step explanation:
I just took the review and I got a 100%
The perpendicular bisectors of triangle RST intersect at K. Find KR
Answer:
Step-by-step explanation:
Remark
The diagram is a mess of lines; you have to guess where that 12 belongs. Just to make the question a bit more interesting, I'm going to say the 12 belongs to the perpendicular.
If that's true you can find KT using Pythagorus. KT and RT are equal. (SSS)
So, let's go.
Givens
1/2 of ST = 1/2 32 = 16
12 is the leg of the small triangle KT and the third point where the perpenduclar line meets ST.
Solution
KT^2 = 16^2 + 12^2
KT^2 = 256 + 144
KT^2 = 400
KT = sqrt(400)
KT = 20
RK = KT because parts of a congruent triangle = parts of the other triangle containing the line (KT) that you are trying to find the length of.
If you had 25 red marbles and 50 green marbles. How many more green marbles would you have to add so the ratio is 1red marble to every 6 green marbles?
Answer:
150
Step-by-step explanation:
25:50 is the same 1:2 so if you multiply 2x3 you get so 6 same as 50x3 which is 150
The RADIUS of the barrel is 9.5.
What is the circumference of the barrel?
Answer:
19
Step-by-step explanation:
D=2r
D = 2(9.5)
= 19
What is the measure of angle AEB? Enter your answer as a whole number.
Answer: 89 or 90 degrees.
Step-by-step explanation:
NEEEED HELP!!!!!!!!!
Answer:
1/3 is your awnser also what ur name in prodigy ill play with u im level 100
Step-by-step explanation:
Answer:
[tex] \frac{2}{5} + \: x = \frac{11}{15} [/tex]
5.3=15
2.3=6
[tex] \frac{6}{15} + \frac{5}{15} [/tex]
what is the appoximate distance between T and U? round your answer to the nearest hundreth
HELP PLS!!! WILL GIVE BRAINLIEST!!!
Answer:
The correct answer is B.2 plz mark as brainliest.
Step-by-step explanation:
Find 28% of 85
Plz help
Answer:
23 4/5Step-by-step explanation:
28% of 85 is:
28/100 x 85 = 2380/100 = 238/10 = 119/5 = 23 4/5
Answer:
23.8
Step-by-step explanation:
28% times 85= 23.8
Alex and glen share a 30 ounce bucket of clay by the end of the week alex has used 1/10 of the bucket and glen has used 2/5 of the bucket of clay how many ounces are left in the bucket
Answer:
21 ounces
Step-by-step explanation:
Answer:
15 ounces
Step-by-step explanation:
we know that the whole is 30 we know that Alex 1/10 and glen has 2/5 we dont know wht left over :: 1/10 + 2/5 = 1/10 + : 4/10 = 5/10 so 1 - 5/10 = 5/10
We need to find how many ounces of clay are left. Which equation can we use to find how many ounces are in 5/10
of the whole bucket? 5/10 x 30 and 5x 30 10
15 onces
there are 63 boys in sixth grade. the number of girls in the sixth grade is 56. Shelby says that means the ratio of the number of boys to the number of girls in sixth grade is 9:7. is Shelby correct. use a tape diagram, to support your answer.
Answer:
Yes, Shelby is correct.
Step-by-step explanation:
Basically, if you divide 63 by 9 you get 7, and if you divide 56 by 7 you get eight, so yah.
explain what a variable is.
Answer:
A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.
Step-by-step explanation:
in other words is like x,y,z or any other letters
Need help fast as possible!!!! Pleaseeeee!!!!!!!!
ita 3 fiths x plus three eigths
make t the subject of the formula. s= 8t +5
Answer:
So I am assuming that you are wanting what a single t is. Well, here you go.
t=(s-5)/8
Step-by-step explanation:
8t=s-5
t=(s-5)/8
Hope this helps! ;)