Answer:
x = - 1
Step-by-step explanation:
7 (4x + 1) – 3x = 5x – 13
28x + 7 - 3x = 5x - 13
25x + 7 = 5x - 13
25x - 5x = -13 - 7
20x = -20
x = -20/20
x = -1
Answer: x = -1
Step-by-step explanation:
[tex]7 (4x + 1) -3x = 5x-13[/tex]
Distribute 7.
[tex]28x+7-3x=5x-13[/tex]
Subtract 7.
[tex]28x-3x=5x-13-7[/tex]
Subtract 5x
[tex]28x-3x-5x=-13-7[/tex]
Combine like terms;
[tex]20x=-20[/tex]
Divide by 20.
[tex]x=\frac{-20}{20}\\ x=-1[/tex]
State the order and type of each transformation
of the graph of the function
f(x) = (5(x - 1)) 3 - 2 as compared to the graph
of the base function.
Answer:
Graph.
f(x)=5(x−1)3−2
Step-by-step explanation:
2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??
help i need this what is it
Answer:
98
Step-by-step explanation:
2+3=2*[3+(2-1)]=8
3+7=3*[7+(3-1)]=27
4+5=4*[5+(4-1)]=32
5+8=5*[8+(5-1)]=60
6+7=6*[7+(6-1)]=72
therefore
7+8=7*[8+(7-1)]=98
x+y=x[y+(x-1)]=x^2+xy-x
Answer:
96?
Step-by-step explanation:
i guessed i mean it has to be greater than 95 and less than 100
The local weather forecaster says she can predict whether it will rain with 80% accuracy which is equivalent to a 0.8 chance of being correct. If she forecasts rain 160 times, how many of these times would you expect she is wrong?
Answer:
You should expect her to be wrong 32 times.
Step-by-step explanation:
For each forecast that she makes, there are only two possible outcomes. Either she is correct, or she is not. The probability of she being correct on a forecast is independent of other forecasts. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
0.8 chance of being correct.
So 1 - 0.8 = 0.2 change of being wrong, which means that [tex]p = 0.2[/tex]
160 forecasts:
This means that [tex]n = 160[/tex]
How many of these times would you expect she is wrong?
[tex]E(X) = np = 160*0.2 = 32[/tex]
You should expect her to be wrong 32 times.
[tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]
Show all work
Answer:
Step-by-step explanation:
[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]
[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]
[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]
[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]
[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]
[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]
[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]
x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]
x = [tex]\sqrt[3]{8^{5}}[/tex] -2
Two friends shop for fresh fruit. Jackson buys a watermelon for $6.35 and 4 pounds of cherries. Tim buys a pineapple for $4.25 and 3 pounds of cherries Use the variable P to represent the price in dollars per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.
Answer:
7.65 + 5p - (2.45 - 4p) =
7.65 + 5p - 2.45 + 4p =
5.20 + 9p <==
Step-by-step explanation:
hope dis helps mark me as brainliest pls!!!!!
Simplify the radicals in the given expression:
8^3√a^4b^3c^2-14ab^3√ac^2
8ab√ac^2-14ab^3ac^2
8a^2ba^3√b-14abc^3a
8ab^3ac^2-14ab^3√ac^2
8a^2bc√b-14abc√a
i've gotten the answer it is "8ab^3ac^2-14ab^3√ac^2"
Answer: it’s option c
Step-by-step explanation:
Simplified form of radical 8∛(a⁴b³c²)-14b∛(ac^(2)) is -6ab∛ac².
What is radical?
The symbol '√' that expresses a root of a number is known as radical and is read as x radical n or nth root of x. The horizontal line covering the number is called the vinculum and the number under it is called the radicand. The number n written before the radical is called the index or degree.
Given radical
8∛(a⁴b³c²)-14b∛(ac^(2))
Rewriting a⁴b³c² as (ab)³ ac²
8∛((ab)³ac²)-14b∛(ac²)
8ab∛ac² - 14b∛ac²
-6ab∛ac².
Hence, -6ab∛ac² is the simplified form of 8∛(a⁴b³c²)-14b∛(ac^(2)).
Learn more about radical here:
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I need help don’t know this ??
consider the graph of the function y=1/4x2-3x-40. what are the roots of the function?
Answer: the roots are x = 20 and x = -8
Step-by-step explanation:
We have the function
y = (1/4)x^2 - 3x - 40
We want to find the roots, that are the points in where y(x) = 0
For a quadratic equation of the form:
y = a*x^2 + bx + c the roots are:
[tex]x = \frac{-b +-\sqrt{b^2 -4*a*c} }{2*a}[/tex]
in this case we have:
[tex]x = \frac{3 +-\sqrt{3^2 +4*(1/4)*40} }{2*(1/4)}= \frac{3 +-7}{(1/2)}[/tex]
So the two roots are:
x = 2*(3 + 7) = 20
x = 2*(3 - 7) = -8
Consider circle A in the diagram below where the m∠DCG=25∘ and mCF^=60∘ and prove that m∠EDF=55∘.
Given that m∠DCG=25∘, this angle intercepts arc DG^ which makes mDG^=_, this means that mED^=130∘ as EG^ is a diameter.
∠CED intercepts CFD^, which makes m∠CED=_.
∠ECD intercepts ED^ which makes m∠ECD=_.
∠CDF intercepts CF^ which is 60∘, making m∠CDF=30∘. Using the triangle sum theorem, m∠EDC=_, and using Angle addition postulate the m∠EDF=55∘.
Answer:
50, 90, 65, 25
Step-by-step explanation:
I dont know how to get to it that is why I searched it up :/
Solve for V in V = s 3, if s = 4. V = a0
Answer:
64\ units^{3}
Step-by-step explanation:
we have
V=s^{3}
This is the formula to calculate the volume of a cube
where
s is the length side of the cube
In this problem we have
s=4\ units
substitute
V=4^{3}=64\ units^{3}
Jar A contains 50% red marbles and 50% black marbles. Jar B contains 75% red marbles and 25% black marbles. Therefore, it is more likely to get a random sample of 10 red marbles from Jar B. This is an example of which of the following...
(5 Points)
A)Descriptive Statistics
B)Inferential Statistics
Answer:
A. Descriptive
Step-by-step explanation:
A survey of all beings on the planet mimstoon found that 10 beings preferred lirt juice to all other juices If 25 beings are surveyed altogether what percent of them preferred Lirt juice
Answer:
The percentage of the surveyed that preferred Lirt juice is 40%
Step-by-step explanation:
In this question, we are asked to calculate the percentage of beings that preferred Lirt juice
Let’s look at the survey presented in the question. 10 beings preferred out of a total of 25
The percentage that preferred Lirt juice will thus be;
10/25 * 100%
= 10 * 4 = 40%
Find the greatest common factor.
бах2 + бах + ба
Answer:
6a
Step-by-step explanation:
The GCF (Greatest Common Factor) is a number/variable that you can take out of all of the terms in the expression.
In this case, each term in this expression has a 6, and an a, but not all have an x, so we only take out:
6a
By taking 6a, you get:
6a([tex]x^2[/tex] + x + 1)
I need help with this question
2(y – 3) = 1.2 – y
Solve and explain
Answer:
y ≈ 2.4
Step-by-step explanation:
At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads
and two sandwiches The Donovan family pays $14 for a salad and three fruit bowls What is the price of a fruit bowl at the
cafe?
Answer: The price of a fruit bowl at the cafe is $3
Step-by-step explanation:
$3 in the price of a Fruit bowl at the cafe.
What is the price of a fruit bowl at the cafe?
According to the given In the question,
Let,
price of a Salad = Sl
price of a fruit bowl = Fb
Fb price of a sandwich = Sd
Sl + Fb+sd=$12 ..1
2 SI + 2 Sd = $14 ..2
Sl + 3Pb Fb = $14 ..3
from equation 2
Sl = 7 - Sd
from equation 3
7 - Sd + 3Fb = 14
Sd = 3Fb - 7
from equation 1
14- 3Fb+Fb+ 2(3Fb-7)=12
14- 2 Pb +6Fb-14=12
4Fb = 12
Fb = 3
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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Researchers once surveyed students on which superpower they would most like to have. The following two-way table displays data for the sample of students who responded to the survey.
What percent of students in the sample were male?
Round your answer to the nearest percent.
Answer:
14/50 or 28%
Step-by-step explanation:
THERE ARE 14 MALES WHO CHOSE INVISIBILITY AND 50 MALES IN TOTAL.
EZPZ
If you are given a paper which has lines which are the length of a needle apart, and then you repeated drop that needle onto the paper, the probability that the needle with cut the line is:
Answer:
The correct option is;
[tex]\frac{1}{\pi }[/tex]
Step-by-step explanation:
Here we have that
[tex]Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }[/tex]
Therefore, the probability that the needle will cut the line = 1/π.
Angle c is inscribed in circle O. AB is a diameter of circle O. what is the radius of circle.
Answer:
The value of radius is 7.5 units
Step-by-step explanation:
Given that a line that pass through the origin and form a triangle is a right-angle triangle. So in order to find the diameter/hypotenuse, you have to use Pythogaras Theorem :
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
Let a = 12 units,
Let b = 9 units,
Let c = hypo.,
[tex] {hypo.}^{2} = {12}^{2} + {9}^{2} [/tex]
[tex] {hypo.}^{2} = 225[/tex]
[tex]hypo. = \sqrt{225} [/tex]
[tex]hypo. = 15 \: \: units[/tex]
We have found out that the hypotenuse of the triangle is the diameter of circle. So in order to find radius, you have to divide it by 2 :
[tex]radius = diameter \div 2[/tex]
[tex]radius = 15 \div 2[/tex]
[tex]radius = 7.5 \: \: units[/tex]
Answer: 7.5
Step-by-step explanation: Khan academy
Workers preparing for the city's Fourth of July celebration shoot an object straight up with an initial velocity of 210 ft/s2 from a height of 3 feet above the ground. Will the object reach a height of 670 feet 0, 1, or 2 times? Use the equation h=16t^2+vt+c where v is the initial velocity in feet per second and c is the initial height in feet of the object above the ground. Use the discriminant to explain your answer. Group of answer choices a) 2 times; The discriminant is positive, so the equation has two solutions. b) 0 times; The discriminant is negative, so the equation has no solutions. c) Cannot determine. There is no discriminant in the equation. d) 1 time; The discriminant is zero, so the equation has one solution.
Answer:
C
Step-by-step explanation:
Answer:
It is actually a
Step-by-step explanation:
Am I right?? :) if I’m not please tell me what’s wronf
Answer: The first one is correct but the second one is not
answer blank 1 = 21
answer blank 2 = 189
Step-by-step explanation: You know that 21 students are at each group of tables and you know there is 9 groups total so to get the answer you must multiply 8 times 21 which is 189. Where you went wrong was you multiplied 9 * 3 instead of 9 * 21
hope this helps mark me brainliest if it did
1.The two angles 21 degrees and (2x+29)degrees are SUPPLEMENTARY ANGLES. Solve for x. SHOW YOUR WORK.
And 2.The two angles (x-36)degrees and 73 degrees SUPPLEMENTARY ANGLES. Solve for x. SHOW YOUR WORK.
PLZZ ANSWER RIGHT AWAY. I'M GIVING 15 POINTS PLZZ HURRY.
Answer:
See below in bold.
Step-by-step explanation:
1. 21 + 2x + 29 = 180 (as supplementary angles sum to 180 degrees).
2x + 50 = 180
2x = 130
x = 65 degrees.
2. x - 36 + 73 = 180
x = 180 + 36 - 73
x = 143 degrees.
A clock tower has a large bell that rings on the hour. The edge of the bell has a radius of 4 meters. What is the edge's circumference? *PLEASE HELP DUE TODAY*
Answer: 25.3m
Step-by-step explanation:
pi x 4
A histogram titled Number of texts has time on the x-axis and texts on the y-axis. From 6 a m to 7:59 a m there were 15 texts, 8 to 9:59 a m: 5, 10 a m to 11:59 p m: 0, 12 p m to 1:59 p m: 0, 2 p m to 3:59 p m: 0, 4 to 5:59 p m: 29, 6 to 7:59 p m: 19, 8 to 8:59 p m, 14, 10 p m to 11:59 a m: 5 The histogram shows the number of text messages sent by two high school juniors on one Monday. Which statement most reasonably explains the hours when 0 texts were sent? The students were asleep and did not have phones turned on. The students only had 100 text messages available. The students were in school and were not allowed to text. Texting is done in clusters.
Answer:
Answer: I think c,e
Answer: The students were in school and were not allowed to text
The time-span from 10 AM to 3:59 PM is when 0 messages were sent in total. This is likely the duration of either the entire school day or much of it. So it's likely the school does not allow texting or does not allow phones to be in use.
What is the measure of angle DEF?
E
28°
47°
D
F
[Not drawn to scale]
75°
b
90°
с
25°
Od
105°
Answer:
D 105
Step-by-step explanation:
all the angles in a triangle add up to 180 degrees.
So just take 180 and subtract the 2 given angles.
Answer:
105 degree dear.......
This is the next one!!
Answer:
5
Step-by-step explanation:
1 ,3 ,0, 6 ,x
To find the mean, we add them all up and divide by the number of numbers
(1+3+0+6+x) / 5 = 3
Multiply each side by 5
(1+3+0+6+x) / 5 *5= 3*5
(1+3+0+6+x) = 15
Combine like terms
10+x = 15
Subtract 10 from each side
10+x-10=15-10
x = 5
SA police department used a radar gun to measure the speed of a sample of cars on the highway.
Assume that the distribution of speeds is approximately Normal with a mean of 71 mph and a
standard deviation of 8 mph.
Using this distribution what is the z-score of a 65-mph speed limit? *
Answer:
The z score of the 65-mph speed limit is -0.75
Step-by-step explanation:
The z score is given by the relation;
[tex]z = \frac{x- \mu}{\sigma}[/tex]
Where:
Z = Normal (Standard) or z score
x = Observed speed score
μ = Mean, expected speed
σ = Standard deviation
Where we plug in the values for x = 65-mph, σ = 8 mph and μ = 71 mph, into the z-score equation, we get;
[tex]z = \frac{65-71}{8}= \frac{-6}{8} = -\frac{3}{4}[/tex]
Hence the z score of the 65-mph speed limit =-3/4 or -0.75.
What are the solutions of the equation sec(x)cot(x)= -2 on the interval [0,2pi]? Choose all correct answers.
Answer:
The solutions are 7π/6 and 11π/6Step-by-step explanation:
Given the equation sec(x)cot(x)= -2 on the interval [0,2π]. In order to get the value of x, the following steps must be followed.
sec(x)cot(x)= -2
From trigonometry identity, sec(x)= 1/cos(x) and cot(x)= 1/tan(x) = cos(x)/sin(x)
subsituting this expressions in the given equation we have;
1/cos(x)*cos(x)/sin(x) = -2
1/sin(x) = -2
sin(x) = -1/2
[tex]x = sin^{-1}-1/2\\ x = -30^{0}[/tex]
Since sin is negative in the 3rd and 4th quadrant,
In the 3rd quadrant, x = 180+30 = 210°
In the 4th quadrant, x = 360-30 = 330°
Converting the values to radian;
since 180° = πrad
210° = 210π/180 rad
210° = 7π/6 rad
Similarly, 330° = 330π/180 rad
330° = 11π/6 rad
The solutions are 7π/6 and 11π/6
Solve the equation 4x^2 + 24x + 13 = 2x^2+ 6x to the nearest tenth.
Answer:
-0.8 and -8.2
Step-by-step explanation:
To solve a quadratic you first need to have one side of the equation equal to zero (because x-intercepts are when y is zero).
4x^2 + 24x + 13 = 2x^2 + 6x
2x^2 + 18x + 13 = 0
Then you can use the quadratic formula to solve for x. You will then come to
-18 ± sqrt(220) / 4
This will simplify out (rounding to the nearest tenth) to -0.8 and -8.2
Help meeee!!! Whats x
Answer:
74°
Step-by-step explanation:
The angle on a line = 180°
therefore:.
x + 106° = 180°
x = 180° - 106°
x = 74°
Answer: 74 degrees.
Step-by-step explanation:
Angles on the same side of a line add to 180.
The angle measure of 106 and the angle measure of x lie on the same side of the line WZ, so you can add them both to get 180:
106 + x = 180
x = 74
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
4.1 feet
17.0 feet
20.6 feet
21.4 feet
Answer:20.6
Step-by-step explanation:
20.6
Answer:
C) 20.6
Step-by-step explanation:
just took the test
