7. What is the value of z in the solution to the systems of linear equations shown below?
-x+ 2y + 2z= -4
4x +y-3z=13
x- 5y +z = -23
Step-by-step explanation:
[tex]1) \: \: - x + 2y + 2z = - 4 \\ 2z = - 4 + x - 2y \\ z = \frac{ - 4 + x - 2y}{2} \\ \\ 2) \: \: 4x + y - 3z = 13 \\ - 3z = 13 - 4x - y \\ z = \frac{13 - 4x - y}{ - 3} \\ \\ 3) \: \: x - 5y + z = - 23 \\ z = - 23 - x + 5y \\ [/tex]
Check all solutions to the equation. If there are no solutions, check 'None."
x2=-4
Answer:
-2 is the only answer
Step-by-step explanation:
You know the answer can't be a positive number because a positive multiplied by a positive is a positive number. It is not 0 because 0 X anything is 0. -16 x 16 is way to high. But, -2 x 2 = -4
There are no real solutions
Option F is correct.
What is an imaginary number?An imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value.
Given equation
[tex]x^{2} =-4[/tex]
Apply square root on both sides of the equation
[tex]\sqrt{x^{2} } =\sqrt{-4}[/tex]
[tex]x=2i[/tex]
2i is imaginary number.
There are no real solutions
Hence, Option F is correct.
Find out more information about imaginary solution here
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What is the lcm of the numbers below will give you brainleist
i took this exam and the answer is c.25,200
1111111111111111111111111111111111111111111111freepoints
Answer:
thank youuuuuu
Step-by-step explanation:
Answer:
thank
Step-by-step explanation:
Plato!!! Please help ~_~
Type the correct answer in the box. If necessary, use / for the fraction bar.
A solid wooden block in the shape of a rectangular prism has a length, width, and height of 3/8 centimeter, 1/8 centimeter, and 5/8 centimeter,
respectively,
The volume of the block is (——)
cubic centimeter.
The number of cubic wooden blocks with a side length of 1/8 centimeter that can be cut
from the rectangular block is(—)
Answer goes in the (—)
Answer:
V = 3/8 * 1/8 * 5/8 cm^3 = 15 / 512 cm^3
Since all sides are evenly divisible by 1/8 and v = (1 / 8)^3 = 1 / 512 cm^3
N = V / v = (15 / 512) / (1 / 512) = 15 blocks
Example: cut 1/8 by 5/8 into 5 blocks
Cutting 1/8 by 5/8 could be done 3 times for a total of 15 blocj\ks
EVALUATE THE FUNCTION REQUESTED. WRITE YOUR ANSWER AS A FRACTION IN LOWEST TERMS
I WILL GIVE BRAINLIEST I NEED THIS ANSWER ASAPP!
Answer:
• From trigonometry ratios:
[tex]{ \boxed{ \rm{ \sin(A) = \frac{opposite}{hypotenuse} }}} \\ [/tex]
opposite → 28hypotenuse → 35[tex]{ \rm{ \sin(A) = \frac{28}{35} }} \\ \\ { \boxed{ \boxed{ \rm{ \: \sin(A) = \frac{4}{5} \: }}}}[/tex]
en un triangulo rectangulo abc rectos en b a) hallar el angulo a si c=2a b) hallar el angulo en c se a=4b+10
answer
The side
b
is
4√2
unit.
Explanation:
in right triangle
C=900,a=2,c=6c
is
the side opposite to the right angle, so it is hypotenuse,
a
and
b
are the adjacent sides of the right angle .
We know in right triangle
,a2+b2=
c2∴22+b2=62
or
b2=36−4=32∴
b=√32
or
b=4√2
unit. The side
b is 4√2
unit [Ans]
what is 5+6? Show your work
Answer:
11
Step-by-step explanation:
2+2+1(5)+3+3(6) =11
Martha Stewart has developed a new perfume. She decides to test its side effects by spraying the perfume in 31 randomly chosen houses. She records the level of antigens that create an allergic response. If the antigen level is high enough, the person will go into anaphylactic shock. The mean of her sample is a lot bigger than the median, but Martha hopes that a 90% confidence interval will contain zero. Her confidence interval is (0.116, 1.884). Disappointed, she offers you $144 to find an acceptable, realistic way to change the confidence interval to contain zero. What could you say to earn the money
The acceptable and realistic ways to to change the confidence interval to contain zero are;
Martha should decrease x-bar by providing medicine to treat shock to the perfume users.Decrease sample size than 30Increase the confidence level, till the interval contains zeroReasons:
The confidence interval is given by the following formula;
[tex]CI=\bar{x}\pm t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex]
When the mean, [tex]\overline x[/tex], is positive and large, both values, [tex]\bar{x}+ t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex], and [tex]\bar{x} -t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex], will be positive.
Therefore, Martha has to either intervene to reduce the mean also known as x-bar
Increasing the confidence level will increase the allowable error such that [tex]\bar{x} < t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}}[/tex], and the interval will contain zero
Therefore;
Martha should decrease x-bar, [tex]\overline x[/tex], by providing medicine to treat shock to the perfume usersUse a much smaller sample size, n, such that [tex]t_{\alpha/2} \cdot \dfrac{s}{\sqrt{n}} > \bar{x}[/tex]Increase the confidence level to 95% or 99%, thereby increasing the error boundLearn more here:
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#11 help please !!!!!!!
Answer:
Step-by-step explanation:
300/100 = 3 = 1%
if 3 = 1% then 3/2 or 1.5 = 0.5%
5 x 3 = 15 = 5%
15 + 1.5 = 16.5 = 5.5%
1. If the measures of two angles of a triangle are 19° and 80°, find the measure of the third angle.
19+80=180
99=180
180_99
81
A coat usually sells for $62.95. It is on sale for 10% off.
What is the sale price?
Answer:
Hii, okay so the sale price is $56.66, Hope this helps
Step-by-step explanation:
When converted to a household measurement, 9 kilograms is approximately equal to a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
Answer:
a) 9000 gam
Step-by-step explanation:
Answer:
a) 9000 grams
Step-by-step explanation:
1 kg=1000 g
9*1000=9000
how do you prove that vertical angles are ⩭
Answer:
congruent
Step-by-step explanation:
If two angles are vertical angles, then they're congruent
hope it helps
mark me brainliest
Find the difference and express your answer in scientific notation.
(8.9 x 10^-6) - (6.7 x 10^-8)
Difference:
How much greater is [tex]8.9*10^8[/tex] than [tex]1.6*10^6[/tex]? Express your answer using either standard notation or scientific notation.
[tex]8.9*10^8 - 1.6*10^6[/tex]
[tex]890,000,000-1,600,000[/tex] Convert to standard notation
[tex]888,400,000[/tex] Standard Notation
[tex]8.884*10^8[/tex] Scientific Notation
Whats 1 and 2
true
false
true/false
Answer:false true
Step-by-step explanation:
If a pair pf shoe is was discounted from an original price of 5,000 to 2800 what is the percent discount
44% discount
(2200 is 44% of 5000)
What kind of fraction is 14/6
Yes, It is an improper fraction
A notice of use and disclosure is required for a) patients whose personal health information the doctor intends to disclose. b) every patient a doctor treats. c) patients treated for sensitive conditions, such as substance abuse or mental illness. new patients, but not established patients.
heelp me pls pls
Answer:
b
Step-by-step explanation:
Please help will mark brainliest PLZZZZZZzzz
Answer:
see explanation
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex]
(a)
1 [tex]\frac{6}{7}[/tex] ← change to an improper fraction
= [tex]\frac{13}{7}[/tex]
Then its reciprocal is [tex]\frac{1}{\frac{13}{7} }[/tex] = [tex]\frac{7}{13}[/tex]
(b)
The reciprocal of [tex]\frac{7}{13}[/tex] is [tex]\frac{1}{\frac{7}{13} }[/tex] = [tex]\frac{13}{7}[/tex] = 1 [tex]\frac{6}{7}[/tex]
(c)
Each is the reciprocal of the other
There are 5 roses and 6 daisies in a vase.
Answer:
11 flowers
Step-by-step explanation:
Find the difference 701 and 413
Answer:
I believe its 288 I might be wrong but it's worth a shot
Which equations are correct?
Select each correct answer.
6a^5(6a^5)=36a^25
6b^4(−3b^4)=−18b^8
5x^4(4x^2)=20x^6
3z^7(4z^2)=12z^9
-3/5-2/10= para ahorita plsss
Answer:
-0.8 GL HEHHEHHEHEHEHEHEHEHEHHEHEHEHHEHEH
Evaluate the expression. −3(−15−2(−9))2 What is the value of the expression? Enter your answer in the box.
please mark this answer as brainlist
The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ −3[−15 − 2(−9)]²
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.
⇒ −3[−15 − 2(−9)]²
⇒ −3[−15 + 18]²
⇒ −3[3]²
⇒ −3 × 9
⇒ −27
The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.
More about the value of the expression link is given below.
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An ice cream factory makes 170 quarts of ice cream in 5 hours. How many
quarts could be made in 36 hours? What was that rate per day?
The amount of quarts which will be made in 36 hours and the production rate per day is :
1224 quarts on 36 hours 816 quarts in a dayGiven the Parameters :
Time taken to make 170 quarts = 36 hours
Number of quarts made in 36 hours using the proportional relationship :
170 = 5
p = 36
Cross multiply :
5p = 170 × 36
5p = 6120
p = 6120 / 5
p = 1224 quarts
The production rate per day :
Number of hours in a day = 24 hours
170 = 5
p = 24
Cross multiply
5p = 170 × 24
5p = 4080
p = 4080/5
p = 816
Therefore, the production rate per day is 816 quarts
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There was 5/8 of a pie in the fridge. Daniel ate 1/4 leftover. How much of a pie did he have
Answer:
Therefore, 15 / 32 of the pie is left in the fridge.
A 26 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 10 ft from the wall and sliding away from the wall at the rate of 3 ft/sec?
Answer:
The top of the ladder is sliding down at a rate of -1.25 ft/s.
Step-by-step explanation:
From the Pythagorean Theorem:
[tex]\displaystyle a^2 + b^2 = c^2[/tex]
(Where a is the height, b is the distance between the bottom of the ladder and the wall, and c is the length of the ladder itself.)
Note that the hypotenuse c is a constant value at 26 feet. Substitute:
[tex]\displaystyle a^2 + b^2 = (26\text{ ft})^2 = 676 \text{ ft}^2[/tex]
We want to determine how fast the top of the ladder is sliding down the wall at the instant of time when the bottom of the ladder is 10 feet from the wall and sliding away from the wall at the rate of 3 ft/s.
In other words, we want to find da/dt given that b = 10 ft, and db/dt = 3 ft/s.
First, we can differentiate both sides with respect to t, where a and b are both functions of t:
[tex]\displaystyle \frac{d}{dt}\left[ a^2 + b^2\right ] = \frac{d}{dt}\left [ 676 \text{ feet}^2\right ][/tex]
Implicit differentiation yields:
[tex]\displaystyle 2a \frac{da}{dt} + 2b \frac{db}{dt} = 0[/tex]
Next, since we know that b = 10 ft, we can find a:
[tex]\displaystyle \begin{aligned} a^2 + b^2 & = 676\text{ ft}^2 \\ \\ a^2 +(10 \text{ ft})^2 & = 676\text{ ft}^2 \\ \\ a & = 24\text{ ft} \end{aligned}[/tex]
Substitute and solve for da/dt:
[tex]\displaystyle \begin{aligned} 2a \frac{da}{dt} + 2b\frac{db}{dt} & = 0 \\ \\ 2(24 \text{ ft}) \frac{da}{dt} + 2(10 \text{ ft})(3 \text{ ft/s}) & = 0 \\ \\ 48 \text{ ft} \cdot \frac{da}{dt} & = -60 \text{ ft$^2$/s} \\ \\ \frac{da}{dt} & = -1.25 \text{ ft/s} \end{aligned}[/tex]
Since the ladder is sliding down the wall, da/dt is expected to be negative.
In conclusion, the top of the ladder is sliding down at a rate of -1.25 ft/s.
Compute and simplify.
17/1/12/29
Answer:
0.049
Step-by-step explanation:
17÷1=17
17÷12=1.42
1.42÷29=0.049
WILL GIVE BRAINLIEST, EXTRA POINTS, THANK YOU, AND STARS!!!
Answer:
162kph (i think, sorry if im wrong)
Which means 486km in 3 hours....
Step-by-step explanation:
Hope this helps!