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3 years ago

Evaluate each expression when a = -4 and b = 31.) ab2.) 2a + 3b 2.) 2(a - b)

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

1) -12

ab is a times b. We plug in the numbers (-4)*(3) which equals -12.

2) 1

We plug in -4 for a, and 3 for b into the equation.

We get 2(-4) + 3(3)

2*-4 is -8. 3*3 is 9. We add them both, and -8+9 equals 1.

3) -14

We plug in -4 for a, and 3 for b into the equation.

2(-4-3)

-4-3 is -7. -7*2 equals -14.

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M angle JKL=<br> Help me please! Asap thanks so much :)

Lunna [17]

The measure of the angle <JKL is 56 degrees

<h3>Tangent secant theorem of a circle</h3>

The theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Given the following parameters

m<IL = 112 degrees

Since the measure of the vertex is half the measure of its intercepted arc, hence;

<JKl = 1/2(m<IL)

Substitute the given parameters into the formula to have;

<JKl = 1/2(112)

<JKL = 56 degrees

Hence the measure of the angle <JKL is 56 degrees

Learn more on Tangent secant theorem here: brainly.com/question/26826991

#SPJ1

8 0

10 months ago

A candy company claims that its jelly bean mix contains 15% blue jelly beans. Suppose that the candies are packaged at random in

I am Lyosha [343]

Answer:

Doubtful.

Step-by-step explanation:

Our values are,

$P=0.15 \rightarrow 15\%$ Jelly Bean Mix.

The sample for us is n=200

And our proportion (x) is 40 .

We can calculate with this dates the sample proportion and make he test statistic.

$p=\frac{x}{n} = \frac{40}{200} = 0.20$

$H_0:P=0.15$

$H_1:P \neq 0.15$

We use the formula for Test statistic, that is given by,

$z= \frac{p-P}{\sqrt{\frac{P-(1-P)}{n}}}$

$z= \frac{0.20-0.15}{\sqrt{\frac{0.15(1-0.15)}{200}}}$

$z= 1.98$

We see that our P-value: 0.048 (From the Table)

We note that p-value is less than 0.05, so we should to rejecyt the null hypothesis and conclude that the calim is doubtful

4 0

2 years ago

The product of 2 √3 and 3 √12 simplified form is...

Serjik [45]

<h2>Greetings!</h2><h3>When multiplying two roots together, you can rearrange the equation so that the roots are next to each other and so are the whole numbers:</h3>

2 x 3 x $\sqrt{3}$ x $\sqrt{12}$

<h3>This means that 2 x 3 is simple, = 6,</h3><h3>But when multiplying $\sqrt{3} x \sqrt{12}$ you simply multply the two numbers and put them in a square root:</h3>

$\sqrt{3} x \sqrt{12}$ = $\sqrt{36}$